graph
stringlengths 50
311
| messages_l0
listlengths 2
2
| messages_l1
listlengths 2
2
| messages_l2
listlengths 2
2
| messages_l3
listlengths 2
2
| messages_l4
listlengths 2
2
| messages_l5
listlengths 2
2
|
|---|---|---|---|---|---|---|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,12],[0,2,29],[0,3,44],[1,2,40],[1,3,79],[2,3,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,29],[0,3,44],[1,2,40],[1,3,79],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,29],[0,3,44],[1,2,40],[1,3,79],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,29],[0,3,44],[1,2,40],[1,3,79],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=12, w=12\",\"Add (2,3)=25, w=37\",\"Add (0,2)=29, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,29],[0,3,44],[1,2,40],[1,3,79],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=12 Succeeded, w=12\",\"Add (2,3)=25 Succeeded, w=37\",\"Add (0,2)=29 Succeeded, w=66\",\"Add (1,2)=40 Failed, w=66\",\"Add (0,3)=44 Failed, w=66\",\"Add (1,3)=79 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,29],[0,3,44],[1,2,40],[1,3,79],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=12,(2,3)=25,(0,2)=29,(1,2)=40,(0,3)=44,(1,3)=79]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=12\",\"Find(2)=2, Find(3)=3, Add (2,3)=25 Succeeded, w=37\",\"Find(0)=0, Find(2)=2, Add (0,2)=29 Succeeded, w=66\",\"Find(1)=0, Find(2)=0, Add (1,2)=40 Failed, w=66\",\"Find(0)=0, Find(3)=0, Add (0,3)=44 Failed, w=66\",\"Find(1)=0, Find(3)=0, Add (1,3)=79 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,29],[0,3,44],[1,2,40],[1,3,79],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=12,(2,3)=25,(0,2)=29,(1,2)=40,(0,3)=44,(1,3)=79]\",\"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: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=25 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=29 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(2)=0, Add (1,2)=40 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=44 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=79 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,77],[0,2,69],[0,4,85],[0,6,43],[1,3,86],[1,4,11],[1,5,76],[1,6,79],[2,5,94],[2,6,47],[3,4,6],[3,5,51],[3,6,42],[4,5,24],[5,6,76]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,77],[0,2,69],[0,4,85],[0,6,43],[1,3,86],[1,4,11],[1,5,76],[1,6,79],[2,5,94],[2,6,47],[3,4,6],[3,5,51],[3,6,42],[4,5,24],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,77],[0,2,69],[0,4,85],[0,6,43],[1,3,86],[1,4,11],[1,5,76],[1,6,79],[2,5,94],[2,6,47],[3,4,6],[3,5,51],[3,6,42],[4,5,24],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,4)\",\"Add (4,5)\",\"Add (3,6)\",\"Add (0,6)\",\"Add (2,6)\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,77],[0,2,69],[0,4,85],[0,6,43],[1,3,86],[1,4,11],[1,5,76],[1,6,79],[2,5,94],[2,6,47],[3,4,6],[3,5,51],[3,6,42],[4,5,24],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=6, w=6\",\"Add (1,4)=11, w=17\",\"Add (4,5)=24, w=41\",\"Add (3,6)=42, w=83\",\"Add (0,6)=43, w=126\",\"Add (2,6)=47, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,77],[0,2,69],[0,4,85],[0,6,43],[1,3,86],[1,4,11],[1,5,76],[1,6,79],[2,5,94],[2,6,47],[3,4,6],[3,5,51],[3,6,42],[4,5,24],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=6 Succeeded, w=6\",\"Add (1,4)=11 Succeeded, w=17\",\"Add (4,5)=24 Succeeded, w=41\",\"Add (3,6)=42 Succeeded, w=83\",\"Add (0,6)=43 Succeeded, w=126\",\"Add (2,6)=47 Succeeded, w=173\",\"Add (3,5)=51 Failed, w=173\",\"Add (0,2)=69 Failed, w=173\",\"Add (1,5)=76 Failed, w=173\",\"Add (5,6)=76 Failed, w=173\",\"Add (0,1)=77 Failed, w=173\",\"Add (1,6)=79 Failed, w=173\",\"Add (0,4)=85 Failed, w=173\",\"Add (1,3)=86 Failed, w=173\",\"Add (2,5)=94 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,77],[0,2,69],[0,4,85],[0,6,43],[1,3,86],[1,4,11],[1,5,76],[1,6,79],[2,5,94],[2,6,47],[3,4,6],[3,5,51],[3,6,42],[4,5,24],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=6,(1,4)=11,(4,5)=24,(3,6)=42,(0,6)=43,(2,6)=47,(3,5)=51,(0,2)=69,(1,5)=76,(5,6)=76,(0,1)=77,(1,6)=79,(0,4)=85,(1,3)=86,(2,5)=94]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=6\",\"Find(1)=1, Find(4)=3, Add (1,4)=11 Succeeded, w=17\",\"Find(4)=3, Find(5)=5, Add (4,5)=24 Succeeded, w=41\",\"Find(3)=3, Find(6)=6, Add (3,6)=42 Succeeded, w=83\",\"Find(0)=0, Find(6)=3, Add (0,6)=43 Succeeded, w=126\",\"Find(2)=2, Find(6)=3, Add (2,6)=47 Succeeded, w=173\",\"Find(3)=3, Find(5)=3, Add (3,5)=51 Failed, w=173\",\"Find(0)=3, Find(2)=3, Add (0,2)=69 Failed, w=173\",\"Find(1)=3, Find(5)=3, Add (1,5)=76 Failed, w=173\",\"Find(5)=3, Find(6)=3, Add (5,6)=76 Failed, w=173\",\"Find(0)=3, Find(1)=3, Add (0,1)=77 Failed, w=173\",\"Find(1)=3, Find(6)=3, Add (1,6)=79 Failed, w=173\",\"Find(0)=3, Find(4)=3, Add (0,4)=85 Failed, w=173\",\"Find(1)=3, Find(3)=3, Add (1,3)=86 Failed, w=173\",\"Find(2)=3, Find(5)=3, Add (2,5)=94 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,77],[0,2,69],[0,4,85],[0,6,43],[1,3,86],[1,4,11],[1,5,76],[1,6,79],[2,5,94],[2,6,47],[3,4,6],[3,5,51],[3,6,42],[4,5,24],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=6,(1,4)=11,(4,5)=24,(3,6)=42,(0,6)=43,(2,6)=47,(3,5)=51,(0,2)=69,(1,5)=76,(5,6)=76,(0,1)=77,(1,6)=79,(0,4)=85,(1,3)=86,(2,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(1)=1, Find(4)=3, Add (1,4)=11 Succeeded, w=17\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6}, Find(4)=3, Find(5)=5, Add (4,5)=24 Succeeded, w=41\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=42 Succeeded, w=83\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=0, Find(6)=3, Add (0,6)=43 Succeeded, w=126\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=2, Find(6)=3, Add (2,6)=47 Succeeded, w=173\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(5)=3, Add (3,5)=51 Failed, w=173\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=69 Failed, w=173\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=76 Failed, w=173\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=76 Failed, w=173\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=77 Failed, w=173\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=79 Failed, w=173\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=85 Failed, w=173\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=86 Failed, w=173\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=94 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,57],[0,3,90],[0,4,73],[0,5,64],[1,2,90],[1,3,62],[1,4,86],[1,5,59],[2,3,70],[2,4,50],[2,5,40],[3,4,26],[3,5,68],[4,5,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,57],[0,3,90],[0,4,73],[0,5,64],[1,2,90],[1,3,62],[1,4,86],[1,5,59],[2,3,70],[2,4,50],[2,5,40],[3,4,26],[3,5,68],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":232}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,57],[0,3,90],[0,4,73],[0,5,64],[1,2,90],[1,3,62],[1,4,86],[1,5,59],[2,3,70],[2,4,50],[2,5,40],[3,4,26],[3,5,68],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,5)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (1,5)\"],\"Answer\":232}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,57],[0,3,90],[0,4,73],[0,5,64],[1,2,90],[1,3,62],[1,4,86],[1,5,59],[2,3,70],[2,4,50],[2,5,40],[3,4,26],[3,5,68],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=26, w=26\",\"Add (2,5)=40, w=66\",\"Add (2,4)=50, w=116\",\"Add (0,2)=57, w=173\",\"Add (1,5)=59, w=232\"],\"Answer\":232}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,57],[0,3,90],[0,4,73],[0,5,64],[1,2,90],[1,3,62],[1,4,86],[1,5,59],[2,3,70],[2,4,50],[2,5,40],[3,4,26],[3,5,68],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=26 Succeeded, w=26\",\"Add (2,5)=40 Succeeded, w=66\",\"Add (2,4)=50 Succeeded, w=116\",\"Add (4,5)=56 Failed, w=116\",\"Add (0,2)=57 Succeeded, w=173\",\"Add (1,5)=59 Succeeded, w=232\",\"Add (1,3)=62 Failed, w=232\",\"Add (0,5)=64 Failed, w=232\",\"Add (3,5)=68 Failed, w=232\",\"Add (2,3)=70 Failed, w=232\",\"Add (0,4)=73 Failed, w=232\",\"Add (1,4)=86 Failed, w=232\",\"Add (0,3)=90 Failed, w=232\",\"Add (1,2)=90 Failed, w=232\"],\"Answer\":232}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,57],[0,3,90],[0,4,73],[0,5,64],[1,2,90],[1,3,62],[1,4,86],[1,5,59],[2,3,70],[2,4,50],[2,5,40],[3,4,26],[3,5,68],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=26,(2,5)=40,(2,4)=50,(4,5)=56,(0,2)=57,(1,5)=59,(1,3)=62,(0,5)=64,(3,5)=68,(2,3)=70,(0,4)=73,(1,4)=86,(0,3)=90,(1,2)=90]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=26 Succeeded, w=26\",\"Find(2)=2, Find(5)=5, Add (2,5)=40 Succeeded, w=66\",\"Find(2)=2, Find(4)=3, Add (2,4)=50 Succeeded, w=116\",\"Find(4)=2, Find(5)=2, Add (4,5)=56 Failed, w=116\",\"Find(0)=0, Find(2)=2, Add (0,2)=57 Succeeded, w=173\",\"Find(1)=1, Find(5)=2, Add (1,5)=59 Succeeded, w=232\",\"Find(1)=2, Find(3)=2, Add (1,3)=62 Failed, w=232\",\"Find(0)=2, Find(5)=2, Add (0,5)=64 Failed, w=232\",\"Find(3)=2, Find(5)=2, Add (3,5)=68 Failed, w=232\",\"Find(2)=2, Find(3)=2, Add (2,3)=70 Failed, w=232\",\"Find(0)=2, Find(4)=2, Add (0,4)=73 Failed, w=232\",\"Find(1)=2, Find(4)=2, Add (1,4)=86 Failed, w=232\",\"Find(0)=2, Find(3)=2, Add (0,3)=90 Failed, w=232\",\"Find(1)=2, Find(2)=2, Add (1,2)=90 Failed, w=232\"],\"Answer\":232}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,57],[0,3,90],[0,4,73],[0,5,64],[1,2,90],[1,3,62],[1,4,86],[1,5,59],[2,3,70],[2,4,50],[2,5,40],[3,4,26],[3,5,68],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=26,(2,5)=40,(2,4)=50,(4,5)=56,(0,2)=57,(1,5)=59,(1,3)=62,(0,5)=64,(3,5)=68,(2,3)=70,(0,4)=73,(1,4)=86,(0,3)=90,(1,2)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=40 Succeeded, w=66\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 3, 5: 2}, Find(2)=2, Find(4)=3, Add (2,4)=50 Succeeded, w=116\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=56 Failed, w=116\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=57 Succeeded, w=173\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=59 Succeeded, w=232\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=62 Failed, w=232\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=64 Failed, w=232\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=68 Failed, w=232\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=70 Failed, w=232\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=73 Failed, w=232\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=86 Failed, w=232\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=90 Failed, w=232\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=90 Failed, w=232\"],\"Answer\":232}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,42],[0,2,14],[0,3,61],[0,4,55],[1,3,5],[1,4,20],[1,5,7],[2,3,2],[2,5,55],[3,4,75],[3,5,89],[4,5,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,14],[0,3,61],[0,4,55],[1,3,5],[1,4,20],[1,5,7],[2,3,2],[2,5,55],[3,4,75],[3,5,89],[4,5,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":48}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,14],[0,3,61],[0,4,55],[1,3,5],[1,4,20],[1,5,7],[2,3,2],[2,5,55],[3,4,75],[3,5,89],[4,5,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (1,5)\",\"Add (0,2)\",\"Add (1,4)\"],\"Answer\":48}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,14],[0,3,61],[0,4,55],[1,3,5],[1,4,20],[1,5,7],[2,3,2],[2,5,55],[3,4,75],[3,5,89],[4,5,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2, w=2\",\"Add (1,3)=5, w=7\",\"Add (1,5)=7, w=14\",\"Add (0,2)=14, w=28\",\"Add (1,4)=20, w=48\"],\"Answer\":48}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,14],[0,3,61],[0,4,55],[1,3,5],[1,4,20],[1,5,7],[2,3,2],[2,5,55],[3,4,75],[3,5,89],[4,5,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2 Succeeded, w=2\",\"Add (1,3)=5 Succeeded, w=7\",\"Add (1,5)=7 Succeeded, w=14\",\"Add (0,2)=14 Succeeded, w=28\",\"Add (1,4)=20 Succeeded, w=48\",\"Add (0,1)=42 Failed, w=48\",\"Add (4,5)=49 Failed, w=48\",\"Add (0,4)=55 Failed, w=48\",\"Add (2,5)=55 Failed, w=48\",\"Add (0,3)=61 Failed, w=48\",\"Add (3,4)=75 Failed, w=48\",\"Add (3,5)=89 Failed, w=48\"],\"Answer\":48}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,14],[0,3,61],[0,4,55],[1,3,5],[1,4,20],[1,5,7],[2,3,2],[2,5,55],[3,4,75],[3,5,89],[4,5,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(1,3)=5,(1,5)=7,(0,2)=14,(1,4)=20,(0,1)=42,(4,5)=49,(0,4)=55,(2,5)=55,(0,3)=61,(3,4)=75,(3,5)=89]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=2, Add (1,3)=5 Succeeded, w=7\",\"Find(1)=2, Find(5)=5, Add (1,5)=7 Succeeded, w=14\",\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=28\",\"Find(1)=2, Find(4)=4, Add (1,4)=20 Succeeded, w=48\",\"Find(0)=2, Find(1)=2, Add (0,1)=42 Failed, w=48\",\"Find(4)=2, Find(5)=2, Add (4,5)=49 Failed, w=48\",\"Find(0)=2, Find(4)=2, Add (0,4)=55 Failed, w=48\",\"Find(2)=2, Find(5)=2, Add (2,5)=55 Failed, w=48\",\"Find(0)=2, Find(3)=2, Add (0,3)=61 Failed, w=48\",\"Find(3)=2, Find(4)=2, Add (3,4)=75 Failed, w=48\",\"Find(3)=2, Find(5)=2, Add (3,5)=89 Failed, w=48\"],\"Answer\":48}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,14],[0,3,61],[0,4,55],[1,3,5],[1,4,20],[1,5,7],[2,3,2],[2,5,55],[3,4,75],[3,5,89],[4,5,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(1,3)=5,(1,5)=7,(0,2)=14,(1,4)=20,(0,1)=42,(4,5)=49,(0,4)=55,(2,5)=55,(0,3)=61,(3,4)=75,(3,5)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5}, Find(1)=1, Find(3)=2, Add (1,3)=5 Succeeded, w=7\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2}, Find(1)=2, Find(5)=5, Add (1,5)=7 Succeeded, w=14\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=28\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=4, Add (1,4)=20 Succeeded, w=48\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=42 Failed, w=48\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=49 Failed, w=48\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=55 Failed, w=48\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=55 Failed, w=48\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=61 Failed, w=48\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=75 Failed, w=48\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=89 Failed, w=48\"],\"Answer\":48}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,66],[0,2,55],[0,3,51],[0,5,100],[1,5,31],[2,3,30],[2,4,87],[2,5,93],[3,4,5],[3,5,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[0,2,55],[0,3,51],[0,5,100],[1,5,31],[2,3,30],[2,4,87],[2,5,93],[3,4,5],[3,5,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[0,2,55],[0,3,51],[0,5,100],[1,5,31],[2,3,30],[2,4,87],[2,5,93],[3,4,5],[3,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (3,5)\",\"Add (2,3)\",\"Add (1,5)\",\"Add (0,3)\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[0,2,55],[0,3,51],[0,5,100],[1,5,31],[2,3,30],[2,4,87],[2,5,93],[3,4,5],[3,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=5, w=5\",\"Add (3,5)=15, w=20\",\"Add (2,3)=30, w=50\",\"Add (1,5)=31, w=81\",\"Add (0,3)=51, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[0,2,55],[0,3,51],[0,5,100],[1,5,31],[2,3,30],[2,4,87],[2,5,93],[3,4,5],[3,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=5 Succeeded, w=5\",\"Add (3,5)=15 Succeeded, w=20\",\"Add (2,3)=30 Succeeded, w=50\",\"Add (1,5)=31 Succeeded, w=81\",\"Add (0,3)=51 Succeeded, w=132\",\"Add (0,2)=55 Failed, w=132\",\"Add (0,1)=66 Failed, w=132\",\"Add (2,4)=87 Failed, w=132\",\"Add (2,5)=93 Failed, w=132\",\"Add (0,5)=100 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[0,2,55],[0,3,51],[0,5,100],[1,5,31],[2,3,30],[2,4,87],[2,5,93],[3,4,5],[3,5,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=5,(3,5)=15,(2,3)=30,(1,5)=31,(0,3)=51,(0,2)=55,(0,1)=66,(2,4)=87,(2,5)=93,(0,5)=100]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=5\",\"Find(3)=3, Find(5)=5, Add (3,5)=15 Succeeded, w=20\",\"Find(2)=2, Find(3)=3, Add (2,3)=30 Succeeded, w=50\",\"Find(1)=1, Find(5)=3, Add (1,5)=31 Succeeded, w=81\",\"Find(0)=0, Find(3)=3, Add (0,3)=51 Succeeded, w=132\",\"Find(0)=3, Find(2)=3, Add (0,2)=55 Failed, w=132\",\"Find(0)=3, Find(1)=3, Add (0,1)=66 Failed, w=132\",\"Find(2)=3, Find(4)=3, Add (2,4)=87 Failed, w=132\",\"Find(2)=3, Find(5)=3, Add (2,5)=93 Failed, w=132\",\"Find(0)=3, Find(5)=3, Add (0,5)=100 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[0,2,55],[0,3,51],[0,5,100],[1,5,31],[2,3,30],[2,4,87],[2,5,93],[3,4,5],[3,5,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=5,(3,5)=15,(2,3)=30,(1,5)=31,(0,3)=51,(0,2)=55,(0,1)=66,(2,4)=87,(2,5)=93,(0,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=15 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=2, Find(3)=3, Add (2,3)=30 Succeeded, w=50\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=1, Find(5)=3, Add (1,5)=31 Succeeded, w=81\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=0, Find(3)=3, Add (0,3)=51 Succeeded, w=132\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=55 Failed, w=132\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(1)=3, Add (0,1)=66 Failed, w=132\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(4)=3, Add (2,4)=87 Failed, w=132\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=93 Failed, w=132\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=100 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,46],[0,2,75],[0,5,93],[0,7,94],[1,2,1],[1,3,2],[1,4,19],[1,5,39],[1,6,92],[2,3,78],[2,4,86],[2,5,64],[2,6,63],[3,4,20],[3,6,14],[4,5,62],[4,7,45],[5,6,51],[6,7,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,75],[0,5,93],[0,7,94],[1,2,1],[1,3,2],[1,4,19],[1,5,39],[1,6,92],[2,3,78],[2,4,86],[2,5,64],[2,6,63],[3,4,20],[3,6,14],[4,5,62],[4,7,45],[5,6,51],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,75],[0,5,93],[0,7,94],[1,2,1],[1,3,2],[1,4,19],[1,5,39],[1,6,92],[2,3,78],[2,4,86],[2,5,64],[2,6,63],[3,4,20],[3,6,14],[4,5,62],[4,7,45],[5,6,51],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (3,6)\",\"Add (1,4)\",\"Add (1,5)\",\"Add (4,7)\",\"Add (0,1)\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,75],[0,5,93],[0,7,94],[1,2,1],[1,3,2],[1,4,19],[1,5,39],[1,6,92],[2,3,78],[2,4,86],[2,5,64],[2,6,63],[3,4,20],[3,6,14],[4,5,62],[4,7,45],[5,6,51],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (1,3)=2, w=3\",\"Add (3,6)=14, w=17\",\"Add (1,4)=19, w=36\",\"Add (1,5)=39, w=75\",\"Add (4,7)=45, w=120\",\"Add (0,1)=46, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,75],[0,5,93],[0,7,94],[1,2,1],[1,3,2],[1,4,19],[1,5,39],[1,6,92],[2,3,78],[2,4,86],[2,5,64],[2,6,63],[3,4,20],[3,6,14],[4,5,62],[4,7,45],[5,6,51],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (1,3)=2 Succeeded, w=3\",\"Add (3,6)=14 Succeeded, w=17\",\"Add (1,4)=19 Succeeded, w=36\",\"Add (3,4)=20 Failed, w=36\",\"Add (1,5)=39 Succeeded, w=75\",\"Add (4,7)=45 Succeeded, w=120\",\"Add (0,1)=46 Succeeded, w=166\",\"Add (5,6)=51 Failed, w=166\",\"Add (4,5)=62 Failed, w=166\",\"Add (2,6)=63 Failed, w=166\",\"Add (2,5)=64 Failed, w=166\",\"Add (6,7)=73 Failed, w=166\",\"Add (0,2)=75 Failed, w=166\",\"Add (2,3)=78 Failed, w=166\",\"Add (2,4)=86 Failed, w=166\",\"Add (1,6)=92 Failed, w=166\",\"Add (0,5)=93 Failed, w=166\",\"Add (0,7)=94 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,75],[0,5,93],[0,7,94],[1,2,1],[1,3,2],[1,4,19],[1,5,39],[1,6,92],[2,3,78],[2,4,86],[2,5,64],[2,6,63],[3,4,20],[3,6,14],[4,5,62],[4,7,45],[5,6,51],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(1,3)=2,(3,6)=14,(1,4)=19,(3,4)=20,(1,5)=39,(4,7)=45,(0,1)=46,(5,6)=51,(4,5)=62,(2,6)=63,(2,5)=64,(6,7)=73,(0,2)=75,(2,3)=78,(2,4)=86,(1,6)=92,(0,5)=93,(0,7)=94]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=3\",\"Find(3)=1, Find(6)=6, Add (3,6)=14 Succeeded, w=17\",\"Find(1)=1, Find(4)=4, Add (1,4)=19 Succeeded, w=36\",\"Find(3)=1, Find(4)=1, Add (3,4)=20 Failed, w=36\",\"Find(1)=1, Find(5)=5, Add (1,5)=39 Succeeded, w=75\",\"Find(4)=1, Find(7)=7, Add (4,7)=45 Succeeded, w=120\",\"Find(0)=0, Find(1)=1, Add (0,1)=46 Succeeded, w=166\",\"Find(5)=1, Find(6)=1, Add (5,6)=51 Failed, w=166\",\"Find(4)=1, Find(5)=1, Add (4,5)=62 Failed, w=166\",\"Find(2)=1, Find(6)=1, Add (2,6)=63 Failed, w=166\",\"Find(2)=1, Find(5)=1, Add (2,5)=64 Failed, w=166\",\"Find(6)=1, Find(7)=1, Add (6,7)=73 Failed, w=166\",\"Find(0)=1, Find(2)=1, Add (0,2)=75 Failed, w=166\",\"Find(2)=1, Find(3)=1, Add (2,3)=78 Failed, w=166\",\"Find(2)=1, Find(4)=1, Add (2,4)=86 Failed, w=166\",\"Find(1)=1, Find(6)=1, Add (1,6)=92 Failed, w=166\",\"Find(0)=1, Find(5)=1, Add (0,5)=93 Failed, w=166\",\"Find(0)=1, Find(7)=1, Add (0,7)=94 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,75],[0,5,93],[0,7,94],[1,2,1],[1,3,2],[1,4,19],[1,5,39],[1,6,92],[2,3,78],[2,4,86],[2,5,64],[2,6,63],[3,4,20],[3,6,14],[4,5,62],[4,7,45],[5,6,51],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(1,3)=2,(3,6)=14,(1,4)=19,(3,4)=20,(1,5)=39,(4,7)=45,(0,1)=46,(5,6)=51,(4,5)=62,(2,6)=63,(2,5)=64,(6,7)=73,(0,2)=75,(2,3)=78,(2,4)=86,(1,6)=92,(0,5)=93,(0,7)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 1, 7: 7}, Find(3)=1, Find(6)=6, Add (3,6)=14 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=19 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 7}, Find(3)=1, Find(4)=1, Add (3,4)=20 Failed, w=36\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=39 Succeeded, w=75\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=7, Add (4,7)=45 Succeeded, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=0, Find(1)=1, Add (0,1)=46 Succeeded, w=166\",\"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)=51 Failed, w=166\",\"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)=62 Failed, w=166\",\"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)=63 Failed, w=166\",\"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)=64 Failed, w=166\",\"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)=73 Failed, w=166\",\"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=166\",\"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)=78 Failed, w=166\",\"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)=86 Failed, w=166\",\"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)=92 Failed, w=166\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=93 Failed, w=166\",\"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)=94 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,81],[0,4,43],[1,3,30],[1,4,36],[2,3,46],[2,4,87],[3,4,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,81],[0,4,43],[1,3,30],[1,4,36],[2,3,46],[2,4,87],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,81],[0,4,43],[1,3,30],[1,4,36],[2,3,46],[2,4,87],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (2,3)\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,81],[0,4,43],[1,3,30],[1,4,36],[2,3,46],[2,4,87],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=30, w=30\",\"Add (1,4)=36, w=66\",\"Add (0,4)=43, w=109\",\"Add (2,3)=46, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,81],[0,4,43],[1,3,30],[1,4,36],[2,3,46],[2,4,87],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=30 Succeeded, w=30\",\"Add (1,4)=36 Succeeded, w=66\",\"Add (3,4)=39 Failed, w=66\",\"Add (0,4)=43 Succeeded, w=109\",\"Add (2,3)=46 Succeeded, w=155\",\"Add (0,3)=81 Failed, w=155\",\"Add (2,4)=87 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,81],[0,4,43],[1,3,30],[1,4,36],[2,3,46],[2,4,87],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=30,(1,4)=36,(3,4)=39,(0,4)=43,(2,3)=46,(0,3)=81,(2,4)=87]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=30\",\"Find(1)=1, Find(4)=4, Add (1,4)=36 Succeeded, w=66\",\"Find(3)=1, Find(4)=1, Add (3,4)=39 Failed, w=66\",\"Find(0)=0, Find(4)=1, Add (0,4)=43 Succeeded, w=109\",\"Find(2)=2, Find(3)=1, Add (2,3)=46 Succeeded, w=155\",\"Find(0)=1, Find(3)=1, Add (0,3)=81 Failed, w=155\",\"Find(2)=1, Find(4)=1, Add (2,4)=87 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,81],[0,4,43],[1,3,30],[1,4,36],[2,3,46],[2,4,87],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=30,(1,4)=36,(3,4)=39,(0,4)=43,(2,3)=46,(0,3)=81,(2,4)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=36 Succeeded, w=66\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=39 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=43 Succeeded, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(3)=1, Add (2,3)=46 Succeeded, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=81 Failed, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=87 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,92],[0,2,19],[0,4,69],[0,5,27],[0,6,95],[1,2,40],[1,3,79],[1,4,92],[1,5,80],[2,4,99],[2,5,77],[2,6,94],[3,4,75],[3,5,54],[3,6,53],[4,5,21],[4,6,57],[5,6,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,92],[0,2,19],[0,4,69],[0,5,27],[0,6,95],[1,2,40],[1,3,79],[1,4,92],[1,5,80],[2,4,99],[2,5,77],[2,6,94],[3,4,75],[3,5,54],[3,6,53],[4,5,21],[4,6,57],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,92],[0,2,19],[0,4,69],[0,5,27],[0,6,95],[1,2,40],[1,3,79],[1,4,92],[1,5,80],[2,4,99],[2,5,77],[2,6,94],[3,4,75],[3,5,54],[3,6,53],[4,5,21],[4,6,57],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (4,5)\",\"Add (0,5)\",\"Add (1,2)\",\"Add (3,6)\",\"Add (3,5)\"],\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,92],[0,2,19],[0,4,69],[0,5,27],[0,6,95],[1,2,40],[1,3,79],[1,4,92],[1,5,80],[2,4,99],[2,5,77],[2,6,94],[3,4,75],[3,5,54],[3,6,53],[4,5,21],[4,6,57],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=19, w=19\",\"Add (4,5)=21, w=40\",\"Add (0,5)=27, w=67\",\"Add (1,2)=40, w=107\",\"Add (3,6)=53, w=160\",\"Add (3,5)=54, w=214\"],\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,92],[0,2,19],[0,4,69],[0,5,27],[0,6,95],[1,2,40],[1,3,79],[1,4,92],[1,5,80],[2,4,99],[2,5,77],[2,6,94],[3,4,75],[3,5,54],[3,6,53],[4,5,21],[4,6,57],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=19 Succeeded, w=19\",\"Add (4,5)=21 Succeeded, w=40\",\"Add (0,5)=27 Succeeded, w=67\",\"Add (1,2)=40 Succeeded, w=107\",\"Add (3,6)=53 Succeeded, w=160\",\"Add (3,5)=54 Succeeded, w=214\",\"Add (4,6)=57 Failed, w=214\",\"Add (0,4)=69 Failed, w=214\",\"Add (3,4)=75 Failed, w=214\",\"Add (2,5)=77 Failed, w=214\",\"Add (1,3)=79 Failed, w=214\",\"Add (1,5)=80 Failed, w=214\",\"Add (5,6)=88 Failed, w=214\",\"Add (0,1)=92 Failed, w=214\",\"Add (1,4)=92 Failed, w=214\",\"Add (2,6)=94 Failed, w=214\",\"Add (0,6)=95 Failed, w=214\",\"Add (2,4)=99 Failed, w=214\"],\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,92],[0,2,19],[0,4,69],[0,5,27],[0,6,95],[1,2,40],[1,3,79],[1,4,92],[1,5,80],[2,4,99],[2,5,77],[2,6,94],[3,4,75],[3,5,54],[3,6,53],[4,5,21],[4,6,57],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=19,(4,5)=21,(0,5)=27,(1,2)=40,(3,6)=53,(3,5)=54,(4,6)=57,(0,4)=69,(3,4)=75,(2,5)=77,(1,3)=79,(1,5)=80,(5,6)=88,(0,1)=92,(1,4)=92,(2,6)=94,(0,6)=95,(2,4)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=19\",\"Find(4)=4, Find(5)=5, Add (4,5)=21 Succeeded, w=40\",\"Find(0)=0, Find(5)=4, Add (0,5)=27 Succeeded, w=67\",\"Find(1)=1, Find(2)=0, Add (1,2)=40 Succeeded, w=107\",\"Find(3)=3, Find(6)=6, Add (3,6)=53 Succeeded, w=160\",\"Find(3)=3, Find(5)=0, Add (3,5)=54 Succeeded, w=214\",\"Find(4)=0, Find(6)=0, Add (4,6)=57 Failed, w=214\",\"Find(0)=0, Find(4)=0, Add (0,4)=69 Failed, w=214\",\"Find(3)=0, Find(4)=0, Add (3,4)=75 Failed, w=214\",\"Find(2)=0, Find(5)=0, Add (2,5)=77 Failed, w=214\",\"Find(1)=0, Find(3)=0, Add (1,3)=79 Failed, w=214\",\"Find(1)=0, Find(5)=0, Add (1,5)=80 Failed, w=214\",\"Find(5)=0, Find(6)=0, Add (5,6)=88 Failed, w=214\",\"Find(0)=0, Find(1)=0, Add (0,1)=92 Failed, w=214\",\"Find(1)=0, Find(4)=0, Add (1,4)=92 Failed, w=214\",\"Find(2)=0, Find(6)=0, Add (2,6)=94 Failed, w=214\",\"Find(0)=0, Find(6)=0, Add (0,6)=95 Failed, w=214\",\"Find(2)=0, Find(4)=0, Add (2,4)=99 Failed, w=214\"],\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,92],[0,2,19],[0,4,69],[0,5,27],[0,6,95],[1,2,40],[1,3,79],[1,4,92],[1,5,80],[2,4,99],[2,5,77],[2,6,94],[3,4,75],[3,5,54],[3,6,53],[4,5,21],[4,6,57],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=19,(4,5)=21,(0,5)=27,(1,2)=40,(3,6)=53,(3,5)=54,(4,6)=57,(0,4)=69,(3,4)=75,(2,5)=77,(1,3)=79,(1,5)=80,(5,6)=88,(0,1)=92,(1,4)=92,(2,6)=94,(0,6)=95,(2,4)=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)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=21 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 4, 6: 6}, Find(0)=0, Find(5)=4, Add (0,5)=27 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 4, 6: 6}, Find(1)=1, Find(2)=0, Add (1,2)=40 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 4, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=53 Succeeded, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(3)=3, Find(5)=0, Add (3,5)=54 Succeeded, w=214\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=57 Failed, w=214\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=69 Failed, w=214\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=75 Failed, w=214\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=77 Failed, w=214\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=79 Failed, w=214\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=80 Failed, w=214\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=88 Failed, w=214\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=92 Failed, w=214\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=92 Failed, w=214\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=94 Failed, w=214\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=95 Failed, w=214\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=99 Failed, w=214\"],\"Answer\":214}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,44],[0,2,77],[0,3,7],[0,4,83],[1,3,74],[1,5,88],[2,4,49],[3,4,64],[3,5,40],[4,5,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,2,77],[0,3,7],[0,4,83],[1,3,74],[1,5,88],[2,4,49],[3,4,64],[3,5,40],[4,5,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,2,77],[0,3,7],[0,4,83],[1,3,74],[1,5,88],[2,4,49],[3,4,64],[3,5,40],[4,5,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (3,5)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (3,4)\"],\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,2,77],[0,3,7],[0,4,83],[1,3,74],[1,5,88],[2,4,49],[3,4,64],[3,5,40],[4,5,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7, w=7\",\"Add (3,5)=40, w=47\",\"Add (0,1)=44, w=91\",\"Add (2,4)=49, w=140\",\"Add (3,4)=64, w=204\"],\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,2,77],[0,3,7],[0,4,83],[1,3,74],[1,5,88],[2,4,49],[3,4,64],[3,5,40],[4,5,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7 Succeeded, w=7\",\"Add (3,5)=40 Succeeded, w=47\",\"Add (0,1)=44 Succeeded, w=91\",\"Add (2,4)=49 Succeeded, w=140\",\"Add (3,4)=64 Succeeded, w=204\",\"Add (1,3)=74 Failed, w=204\",\"Add (0,2)=77 Failed, w=204\",\"Add (0,4)=83 Failed, w=204\",\"Add (1,5)=88 Failed, w=204\",\"Add (4,5)=95 Failed, w=204\"],\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,2,77],[0,3,7],[0,4,83],[1,3,74],[1,5,88],[2,4,49],[3,4,64],[3,5,40],[4,5,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(3,5)=40,(0,1)=44,(2,4)=49,(3,4)=64,(1,3)=74,(0,2)=77,(0,4)=83,(1,5)=88,(4,5)=95]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Find(3)=0, Find(5)=5, Add (3,5)=40 Succeeded, w=47\",\"Find(0)=0, Find(1)=1, Add (0,1)=44 Succeeded, w=91\",\"Find(2)=2, Find(4)=4, Add (2,4)=49 Succeeded, w=140\",\"Find(3)=0, Find(4)=2, Add (3,4)=64 Succeeded, w=204\",\"Find(1)=0, Find(3)=0, Add (1,3)=74 Failed, w=204\",\"Find(0)=0, Find(2)=0, Add (0,2)=77 Failed, w=204\",\"Find(0)=0, Find(4)=0, Add (0,4)=83 Failed, w=204\",\"Find(1)=0, Find(5)=0, Add (1,5)=88 Failed, w=204\",\"Find(4)=0, Find(5)=0, Add (4,5)=95 Failed, w=204\"],\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,2,77],[0,3,7],[0,4,83],[1,3,74],[1,5,88],[2,4,49],[3,4,64],[3,5,40],[4,5,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(3,5)=40,(0,1)=44,(2,4)=49,(3,4)=64,(1,3)=74,(0,2)=77,(0,4)=83,(1,5)=88,(4,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0}, Find(3)=0, Find(5)=5, Add (3,5)=40 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(1)=1, Add (0,1)=44 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 0}, Find(2)=2, Find(4)=4, Add (2,4)=49 Succeeded, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0}, Find(3)=0, Find(4)=2, Add (3,4)=64 Succeeded, w=204\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=74 Failed, w=204\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=77 Failed, w=204\",\"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=204\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=88 Failed, w=204\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=95 Failed, w=204\"],\"Answer\":204}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,49],[0,3,2],[0,4,9],[1,2,29],[1,3,66],[2,3,76],[2,4,93],[3,4,32]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,49],[0,3,2],[0,4,9],[1,2,29],[1,3,66],[2,3,76],[2,4,93],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,49],[0,3,2],[0,4,9],[1,2,29],[1,3,66],[2,3,76],[2,4,93],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,49],[0,3,2],[0,4,9],[1,2,29],[1,3,66],[2,3,76],[2,4,93],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2, w=2\",\"Add (0,4)=9, w=11\",\"Add (1,2)=29, w=40\",\"Add (0,2)=49, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,49],[0,3,2],[0,4,9],[1,2,29],[1,3,66],[2,3,76],[2,4,93],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2 Succeeded, w=2\",\"Add (0,4)=9 Succeeded, w=11\",\"Add (1,2)=29 Succeeded, w=40\",\"Add (3,4)=32 Failed, w=40\",\"Add (0,2)=49 Succeeded, w=89\",\"Add (1,3)=66 Failed, w=89\",\"Add (2,3)=76 Failed, w=89\",\"Add (2,4)=93 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,49],[0,3,2],[0,4,9],[1,2,29],[1,3,66],[2,3,76],[2,4,93],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(0,4)=9,(1,2)=29,(3,4)=32,(0,2)=49,(1,3)=66,(2,3)=76,(2,4)=93]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=11\",\"Find(1)=1, Find(2)=2, Add (1,2)=29 Succeeded, w=40\",\"Find(3)=0, Find(4)=0, Add (3,4)=32 Failed, w=40\",\"Find(0)=0, Find(2)=1, Add (0,2)=49 Succeeded, w=89\",\"Find(1)=0, Find(3)=0, Add (1,3)=66 Failed, w=89\",\"Find(2)=0, Find(3)=0, Add (2,3)=76 Failed, w=89\",\"Find(2)=0, Find(4)=0, Add (2,4)=93 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,49],[0,3,2],[0,4,9],[1,2,29],[1,3,66],[2,3,76],[2,4,93],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(0,4)=9,(1,2)=29,(3,4)=32,(0,2)=49,(1,3)=66,(2,3)=76,(2,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0}, Find(1)=1, Find(2)=2, Add (1,2)=29 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=32 Failed, w=40\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(2)=1, Add (0,2)=49 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=66 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=76 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=93 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,53],[0,2,61],[0,3,42],[0,4,52],[1,3,37],[1,4,76],[2,3,13],[2,4,56],[3,4,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,61],[0,3,42],[0,4,52],[1,3,37],[1,4,76],[2,3,13],[2,4,56],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,61],[0,3,42],[0,4,52],[1,3,37],[1,4,76],[2,3,13],[2,4,56],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,3)\",\"Add (0,4)\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,61],[0,3,42],[0,4,52],[1,3,37],[1,4,76],[2,3,13],[2,4,56],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=13, w=13\",\"Add (1,3)=37, w=50\",\"Add (0,3)=42, w=92\",\"Add (0,4)=52, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,61],[0,3,42],[0,4,52],[1,3,37],[1,4,76],[2,3,13],[2,4,56],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=13 Succeeded, w=13\",\"Add (1,3)=37 Succeeded, w=50\",\"Add (0,3)=42 Succeeded, w=92\",\"Add (0,4)=52 Succeeded, w=144\",\"Add (0,1)=53 Failed, w=144\",\"Add (2,4)=56 Failed, w=144\",\"Add (0,2)=61 Failed, w=144\",\"Add (3,4)=62 Failed, w=144\",\"Add (1,4)=76 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,61],[0,3,42],[0,4,52],[1,3,37],[1,4,76],[2,3,13],[2,4,56],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=13,(1,3)=37,(0,3)=42,(0,4)=52,(0,1)=53,(2,4)=56,(0,2)=61,(3,4)=62,(1,4)=76]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=13\",\"Find(1)=1, Find(3)=2, Add (1,3)=37 Succeeded, w=50\",\"Find(0)=0, Find(3)=2, Add (0,3)=42 Succeeded, w=92\",\"Find(0)=2, Find(4)=4, Add (0,4)=52 Succeeded, w=144\",\"Find(0)=2, Find(1)=2, Add (0,1)=53 Failed, w=144\",\"Find(2)=2, Find(4)=2, Add (2,4)=56 Failed, w=144\",\"Find(0)=2, Find(2)=2, Add (0,2)=61 Failed, w=144\",\"Find(3)=2, Find(4)=2, Add (3,4)=62 Failed, w=144\",\"Find(1)=2, Find(4)=2, Add (1,4)=76 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,61],[0,3,42],[0,4,52],[1,3,37],[1,4,76],[2,3,13],[2,4,56],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=13,(1,3)=37,(0,3)=42,(0,4)=52,(0,1)=53,(2,4)=56,(0,2)=61,(3,4)=62,(1,4)=76]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4}, Find(1)=1, Find(3)=2, Add (1,3)=37 Succeeded, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(3)=2, Add (0,3)=42 Succeeded, w=92\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=4, Add (0,4)=52 Succeeded, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=53 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=56 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=61 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=62 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=76 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,2],[0,2,75],[0,3,72],[0,4,27],[0,6,88],[1,2,49],[1,3,3],[1,4,90],[1,5,5],[1,6,61],[2,3,36],[2,4,93],[2,5,47],[2,6,18],[3,4,53],[3,5,84],[3,6,81],[4,5,49],[4,6,79],[5,6,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,2,75],[0,3,72],[0,4,27],[0,6,88],[1,2,49],[1,3,3],[1,4,90],[1,5,5],[1,6,61],[2,3,36],[2,4,93],[2,5,47],[2,6,18],[3,4,53],[3,5,84],[3,6,81],[4,5,49],[4,6,79],[5,6,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,2,75],[0,3,72],[0,4,27],[0,6,88],[1,2,49],[1,3,3],[1,4,90],[1,5,5],[1,6,61],[2,3,36],[2,4,93],[2,5,47],[2,6,18],[3,4,53],[3,5,84],[3,6,81],[4,5,49],[4,6,79],[5,6,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (1,5)\",\"Add (2,6)\",\"Add (0,4)\",\"Add (2,3)\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,2,75],[0,3,72],[0,4,27],[0,6,88],[1,2,49],[1,3,3],[1,4,90],[1,5,5],[1,6,61],[2,3,36],[2,4,93],[2,5,47],[2,6,18],[3,4,53],[3,5,84],[3,6,81],[4,5,49],[4,6,79],[5,6,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2, w=2\",\"Add (1,3)=3, w=5\",\"Add (1,5)=5, w=10\",\"Add (2,6)=18, w=28\",\"Add (0,4)=27, w=55\",\"Add (2,3)=36, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,2,75],[0,3,72],[0,4,27],[0,6,88],[1,2,49],[1,3,3],[1,4,90],[1,5,5],[1,6,61],[2,3,36],[2,4,93],[2,5,47],[2,6,18],[3,4,53],[3,5,84],[3,6,81],[4,5,49],[4,6,79],[5,6,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2 Succeeded, w=2\",\"Add (1,3)=3 Succeeded, w=5\",\"Add (1,5)=5 Succeeded, w=10\",\"Add (2,6)=18 Succeeded, w=28\",\"Add (0,4)=27 Succeeded, w=55\",\"Add (2,3)=36 Succeeded, w=91\",\"Add (2,5)=47 Failed, w=91\",\"Add (1,2)=49 Failed, w=91\",\"Add (4,5)=49 Failed, w=91\",\"Add (3,4)=53 Failed, w=91\",\"Add (1,6)=61 Failed, w=91\",\"Add (0,3)=72 Failed, w=91\",\"Add (0,2)=75 Failed, w=91\",\"Add (4,6)=79 Failed, w=91\",\"Add (3,6)=81 Failed, w=91\",\"Add (3,5)=84 Failed, w=91\",\"Add (5,6)=86 Failed, w=91\",\"Add (0,6)=88 Failed, w=91\",\"Add (1,4)=90 Failed, w=91\",\"Add (2,4)=93 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,2,75],[0,3,72],[0,4,27],[0,6,88],[1,2,49],[1,3,3],[1,4,90],[1,5,5],[1,6,61],[2,3,36],[2,4,93],[2,5,47],[2,6,18],[3,4,53],[3,5,84],[3,6,81],[4,5,49],[4,6,79],[5,6,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(1,3)=3,(1,5)=5,(2,6)=18,(0,4)=27,(2,3)=36,(2,5)=47,(1,2)=49,(4,5)=49,(3,4)=53,(1,6)=61,(0,3)=72,(0,2)=75,(4,6)=79,(3,6)=81,(3,5)=84,(5,6)=86,(0,6)=88,(1,4)=90,(2,4)=93]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Find(1)=0, Find(3)=3, Add (1,3)=3 Succeeded, w=5\",\"Find(1)=0, Find(5)=5, Add (1,5)=5 Succeeded, w=10\",\"Find(2)=2, Find(6)=6, Add (2,6)=18 Succeeded, w=28\",\"Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=55\",\"Find(2)=2, Find(3)=0, Add (2,3)=36 Succeeded, w=91\",\"Find(2)=2, Find(5)=2, Add (2,5)=47 Failed, w=91\",\"Find(1)=2, Find(2)=2, Add (1,2)=49 Failed, w=91\",\"Find(4)=2, Find(5)=2, Add (4,5)=49 Failed, w=91\",\"Find(3)=2, Find(4)=2, Add (3,4)=53 Failed, w=91\",\"Find(1)=2, Find(6)=2, Add (1,6)=61 Failed, w=91\",\"Find(0)=2, Find(3)=2, Add (0,3)=72 Failed, w=91\",\"Find(0)=2, Find(2)=2, Add (0,2)=75 Failed, w=91\",\"Find(4)=2, Find(6)=2, Add (4,6)=79 Failed, w=91\",\"Find(3)=2, Find(6)=2, Add (3,6)=81 Failed, w=91\",\"Find(3)=2, Find(5)=2, Add (3,5)=84 Failed, w=91\",\"Find(5)=2, Find(6)=2, Add (5,6)=86 Failed, w=91\",\"Find(0)=2, Find(6)=2, Add (0,6)=88 Failed, w=91\",\"Find(1)=2, Find(4)=2, Add (1,4)=90 Failed, w=91\",\"Find(2)=2, Find(4)=2, Add (2,4)=93 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,2,75],[0,3,72],[0,4,27],[0,6,88],[1,2,49],[1,3,3],[1,4,90],[1,5,5],[1,6,61],[2,3,36],[2,4,93],[2,5,47],[2,6,18],[3,4,53],[3,5,84],[3,6,81],[4,5,49],[4,6,79],[5,6,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(1,3)=3,(1,5)=5,(2,6)=18,(0,4)=27,(2,3)=36,(2,5)=47,(1,2)=49,(4,5)=49,(3,4)=53,(1,6)=61,(0,3)=72,(0,2)=75,(4,6)=79,(3,6)=81,(3,5)=84,(5,6)=86,(0,6)=88,(1,4)=90,(2,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(1)=0, Find(3)=3, Add (1,3)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6}, Find(1)=0, Find(5)=5, Add (1,5)=5 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=18 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 2}, Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=55\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 2}, Find(2)=2, Find(3)=0, Add (2,3)=36 Succeeded, w=91\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=47 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 0, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=49 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=49 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=53 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=61 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=72 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=75 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=79 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=81 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=84 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=86 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=88 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=90 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=93 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,14],[0,5,64],[0,6,44],[0,7,56],[1,3,94],[1,6,75],[1,7,53],[2,3,66],[2,4,65],[2,5,100],[2,7,22],[3,7,18],[4,5,56],[4,6,30],[5,6,29],[5,7,12],[6,7,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,14],[0,5,64],[0,6,44],[0,7,56],[1,3,94],[1,6,75],[1,7,53],[2,3,66],[2,4,65],[2,5,100],[2,7,22],[3,7,18],[4,5,56],[4,6,30],[5,6,29],[5,7,12],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,14],[0,5,64],[0,6,44],[0,7,56],[1,3,94],[1,6,75],[1,7,53],[2,3,66],[2,4,65],[2,5,100],[2,7,22],[3,7,18],[4,5,56],[4,6,30],[5,6,29],[5,7,12],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)\",\"Add (5,7)\",\"Add (0,3)\",\"Add (3,7)\",\"Add (2,7)\",\"Add (4,6)\",\"Add (1,7)\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,14],[0,5,64],[0,6,44],[0,7,56],[1,3,94],[1,6,75],[1,7,53],[2,3,66],[2,4,65],[2,5,100],[2,7,22],[3,7,18],[4,5,56],[4,6,30],[5,6,29],[5,7,12],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=3, w=3\",\"Add (5,7)=12, w=15\",\"Add (0,3)=14, w=29\",\"Add (3,7)=18, w=47\",\"Add (2,7)=22, w=69\",\"Add (4,6)=30, w=99\",\"Add (1,7)=53, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,14],[0,5,64],[0,6,44],[0,7,56],[1,3,94],[1,6,75],[1,7,53],[2,3,66],[2,4,65],[2,5,100],[2,7,22],[3,7,18],[4,5,56],[4,6,30],[5,6,29],[5,7,12],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=3 Succeeded, w=3\",\"Add (5,7)=12 Succeeded, w=15\",\"Add (0,3)=14 Succeeded, w=29\",\"Add (3,7)=18 Succeeded, w=47\",\"Add (2,7)=22 Succeeded, w=69\",\"Add (5,6)=29 Failed, w=69\",\"Add (4,6)=30 Succeeded, w=99\",\"Add (0,6)=44 Failed, w=99\",\"Add (1,7)=53 Succeeded, w=152\",\"Add (0,7)=56 Failed, w=152\",\"Add (4,5)=56 Failed, w=152\",\"Add (0,5)=64 Failed, w=152\",\"Add (2,4)=65 Failed, w=152\",\"Add (2,3)=66 Failed, w=152\",\"Add (1,6)=75 Failed, w=152\",\"Add (1,3)=94 Failed, w=152\",\"Add (2,5)=100 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,14],[0,5,64],[0,6,44],[0,7,56],[1,3,94],[1,6,75],[1,7,53],[2,3,66],[2,4,65],[2,5,100],[2,7,22],[3,7,18],[4,5,56],[4,6,30],[5,6,29],[5,7,12],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=3,(5,7)=12,(0,3)=14,(3,7)=18,(2,7)=22,(5,6)=29,(4,6)=30,(0,6)=44,(1,7)=53,(0,7)=56,(4,5)=56,(0,5)=64,(2,4)=65,(2,3)=66,(1,6)=75,(1,3)=94,(2,5)=100]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=3 Succeeded, w=3\",\"Find(5)=5, Find(7)=6, Add (5,7)=12 Succeeded, w=15\",\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=29\",\"Find(3)=0, Find(7)=6, Add (3,7)=18 Succeeded, w=47\",\"Find(2)=2, Find(7)=0, Add (2,7)=22 Succeeded, w=69\",\"Find(5)=0, Find(6)=0, Add (5,6)=29 Failed, w=69\",\"Find(4)=4, Find(6)=0, Add (4,6)=30 Succeeded, w=99\",\"Find(0)=0, Find(6)=0, Add (0,6)=44 Failed, w=99\",\"Find(1)=1, Find(7)=0, Add (1,7)=53 Succeeded, w=152\",\"Find(0)=0, Find(7)=0, Add (0,7)=56 Failed, w=152\",\"Find(4)=0, Find(5)=0, Add (4,5)=56 Failed, w=152\",\"Find(0)=0, Find(5)=0, Add (0,5)=64 Failed, w=152\",\"Find(2)=0, Find(4)=0, Add (2,4)=65 Failed, w=152\",\"Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=152\",\"Find(1)=0, Find(6)=0, Add (1,6)=75 Failed, w=152\",\"Find(1)=0, Find(3)=0, Add (1,3)=94 Failed, w=152\",\"Find(2)=0, Find(5)=0, Add (2,5)=100 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,14],[0,5,64],[0,6,44],[0,7,56],[1,3,94],[1,6,75],[1,7,53],[2,3,66],[2,4,65],[2,5,100],[2,7,22],[3,7,18],[4,5,56],[4,6,30],[5,6,29],[5,7,12],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=3,(5,7)=12,(0,3)=14,(3,7)=18,(2,7)=22,(5,6)=29,(4,6)=30,(0,6)=44,(1,7)=53,(0,7)=56,(4,5)=56,(0,5)=64,(2,4)=65,(2,3)=66,(1,6)=75,(1,3)=94,(2,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 6, 6: 6, 7: 6}, Find(5)=5, Find(7)=6, Add (5,7)=12 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 6, 6: 6, 7: 6}, Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 6, 6: 0, 7: 6}, Find(3)=0, Find(7)=6, Add (3,7)=18 Succeeded, w=47\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 6, 6: 0, 7: 0}, Find(2)=2, Find(7)=0, Add (2,7)=22 Succeeded, w=69\",\"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)=29 Failed, w=69\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=4, Find(6)=0, Add (4,6)=30 Succeeded, w=99\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=44 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(7)=0, Add (1,7)=53 Succeeded, w=152\",\"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)=56 Failed, w=152\",\"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)=56 Failed, w=152\",\"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)=64 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=65 Failed, w=152\",\"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)=66 Failed, w=152\",\"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)=75 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=94 Failed, w=152\",\"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)=100 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,94],[0,2,90],[0,3,70],[0,4,18],[1,2,50],[1,3,7],[1,4,95],[2,3,98],[2,4,5],[3,4,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,90],[0,3,70],[0,4,18],[1,2,50],[1,3,7],[1,4,95],[2,3,98],[2,4,5],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,90],[0,3,70],[0,4,18],[1,2,50],[1,3,7],[1,4,95],[2,3,98],[2,4,5],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,3)\",\"Add (0,4)\",\"Add (3,4)\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,90],[0,3,70],[0,4,18],[1,2,50],[1,3,7],[1,4,95],[2,3,98],[2,4,5],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=5, w=5\",\"Add (1,3)=7, w=12\",\"Add (0,4)=18, w=30\",\"Add (3,4)=48, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,90],[0,3,70],[0,4,18],[1,2,50],[1,3,7],[1,4,95],[2,3,98],[2,4,5],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=5 Succeeded, w=5\",\"Add (1,3)=7 Succeeded, w=12\",\"Add (0,4)=18 Succeeded, w=30\",\"Add (3,4)=48 Succeeded, w=78\",\"Add (1,2)=50 Failed, w=78\",\"Add (0,3)=70 Failed, w=78\",\"Add (0,2)=90 Failed, w=78\",\"Add (0,1)=94 Failed, w=78\",\"Add (1,4)=95 Failed, w=78\",\"Add (2,3)=98 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,90],[0,3,70],[0,4,18],[1,2,50],[1,3,7],[1,4,95],[2,3,98],[2,4,5],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=5,(1,3)=7,(0,4)=18,(3,4)=48,(1,2)=50,(0,3)=70,(0,2)=90,(0,1)=94,(1,4)=95,(2,3)=98]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=5\",\"Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=12\",\"Find(0)=0, Find(4)=2, Add (0,4)=18 Succeeded, w=30\",\"Find(3)=1, Find(4)=2, Add (3,4)=48 Succeeded, w=78\",\"Find(1)=1, Find(2)=1, Add (1,2)=50 Failed, w=78\",\"Find(0)=1, Find(3)=1, Add (0,3)=70 Failed, w=78\",\"Find(0)=1, Find(2)=1, Add (0,2)=90 Failed, w=78\",\"Find(0)=1, Find(1)=1, Add (0,1)=94 Failed, w=78\",\"Find(1)=1, Find(4)=1, Add (1,4)=95 Failed, w=78\",\"Find(2)=1, Find(3)=1, Add (2,3)=98 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,90],[0,3,70],[0,4,18],[1,2,50],[1,3,7],[1,4,95],[2,3,98],[2,4,5],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=5,(1,3)=7,(0,4)=18,(3,4)=48,(1,2)=50,(0,3)=70,(0,2)=90,(0,1)=94,(1,4)=95,(2,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2}, Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=12\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=18 Succeeded, w=30\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 2}, Find(3)=1, Find(4)=2, Add (3,4)=48 Succeeded, w=78\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 2}, Find(1)=1, Find(2)=1, Add (1,2)=50 Failed, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2}, Find(0)=1, Find(3)=1, Add (0,3)=70 Failed, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2}, Find(0)=1, Find(2)=1, Add (0,2)=90 Failed, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2}, Find(0)=1, Find(1)=1, Add (0,1)=94 Failed, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=95 Failed, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=98 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,40],[0,2,93],[0,3,49],[1,2,36],[1,3,3],[1,4,41],[2,4,8],[3,4,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,93],[0,3,49],[1,2,36],[1,3,3],[1,4,41],[2,4,8],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,93],[0,3,49],[1,2,36],[1,3,3],[1,4,41],[2,4,8],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,4)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,93],[0,3,49],[1,2,36],[1,3,3],[1,4,41],[2,4,8],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3, w=3\",\"Add (2,4)=8, w=11\",\"Add (1,2)=36, w=47\",\"Add (0,1)=40, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,93],[0,3,49],[1,2,36],[1,3,3],[1,4,41],[2,4,8],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3 Succeeded, w=3\",\"Add (2,4)=8 Succeeded, w=11\",\"Add (1,2)=36 Succeeded, w=47\",\"Add (0,1)=40 Succeeded, w=87\",\"Add (1,4)=41 Failed, w=87\",\"Add (0,3)=49 Failed, w=87\",\"Add (3,4)=74 Failed, w=87\",\"Add (0,2)=93 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,93],[0,3,49],[1,2,36],[1,3,3],[1,4,41],[2,4,8],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(2,4)=8,(1,2)=36,(0,1)=40,(1,4)=41,(0,3)=49,(3,4)=74,(0,2)=93]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=11\",\"Find(1)=1, Find(2)=2, Add (1,2)=36 Succeeded, w=47\",\"Find(0)=0, Find(1)=1, Add (0,1)=40 Succeeded, w=87\",\"Find(1)=1, Find(4)=1, Add (1,4)=41 Failed, w=87\",\"Find(0)=1, Find(3)=1, Add (0,3)=49 Failed, w=87\",\"Find(3)=1, Find(4)=1, Add (3,4)=74 Failed, w=87\",\"Find(0)=1, Find(2)=1, Add (0,2)=93 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,93],[0,3,49],[1,2,36],[1,3,3],[1,4,41],[2,4,8],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(2,4)=8,(1,2)=36,(0,1)=40,(1,4)=41,(0,3)=49,(3,4)=74,(0,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=36 Succeeded, w=47\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=40 Succeeded, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=41 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=49 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=74 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=93 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,0],[0,2,27],[0,3,67],[0,4,10],[1,2,36],[1,3,86],[1,4,23],[2,3,45],[2,4,66],[3,4,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,27],[0,3,67],[0,4,10],[1,2,36],[1,3,86],[1,4,23],[2,3,45],[2,4,66],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,27],[0,3,67],[0,4,10],[1,2,36],[1,3,86],[1,4,23],[2,3,45],[2,4,66],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,27],[0,3,67],[0,4,10],[1,2,36],[1,3,86],[1,4,23],[2,3,45],[2,4,66],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0, w=0\",\"Add (0,4)=10, w=10\",\"Add (0,2)=27, w=37\",\"Add (2,3)=45, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,27],[0,3,67],[0,4,10],[1,2,36],[1,3,86],[1,4,23],[2,3,45],[2,4,66],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0 Succeeded, w=0\",\"Add (0,4)=10 Succeeded, w=10\",\"Add (1,4)=23 Failed, w=10\",\"Add (0,2)=27 Succeeded, w=37\",\"Add (1,2)=36 Failed, w=37\",\"Add (2,3)=45 Succeeded, w=82\",\"Add (2,4)=66 Failed, w=82\",\"Add (0,3)=67 Failed, w=82\",\"Add (3,4)=81 Failed, w=82\",\"Add (1,3)=86 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,27],[0,3,67],[0,4,10],[1,2,36],[1,3,86],[1,4,23],[2,3,45],[2,4,66],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(0,4)=10,(1,4)=23,(0,2)=27,(1,2)=36,(2,3)=45,(2,4)=66,(0,3)=67,(3,4)=81,(1,3)=86]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=10\",\"Find(1)=0, Find(4)=0, Add (1,4)=23 Failed, w=10\",\"Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=37\",\"Find(1)=0, Find(2)=0, Add (1,2)=36 Failed, w=37\",\"Find(2)=0, Find(3)=3, Add (2,3)=45 Succeeded, w=82\",\"Find(2)=0, Find(4)=0, Add (2,4)=66 Failed, w=82\",\"Find(0)=0, Find(3)=0, Add (0,3)=67 Failed, w=82\",\"Find(3)=0, Find(4)=0, Add (3,4)=81 Failed, w=82\",\"Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,27],[0,3,67],[0,4,10],[1,2,36],[1,3,86],[1,4,23],[2,3,45],[2,4,66],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(0,4)=10,(1,4)=23,(0,2)=27,(1,2)=36,(2,3)=45,(2,4)=66,(0,3)=67,(3,4)=81,(1,3)=86]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=23 Failed, w=10\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=36 Failed, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=3, Add (2,3)=45 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=66 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=67 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=81 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,72],[0,3,67],[0,4,55],[0,5,50],[1,2,25],[1,3,27],[1,4,92],[2,3,40],[2,4,37],[2,5,94],[3,4,72],[3,5,61],[4,5,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,3,67],[0,4,55],[0,5,50],[1,2,25],[1,3,27],[1,4,92],[2,3,40],[2,4,37],[2,5,94],[3,4,72],[3,5,61],[4,5,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,3,67],[0,4,55],[0,5,50],[1,2,25],[1,3,27],[1,4,92],[2,3,40],[2,4,37],[2,5,94],[3,4,72],[3,5,61],[4,5,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (0,5)\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,3,67],[0,4,55],[0,5,50],[1,2,25],[1,3,27],[1,4,92],[2,3,40],[2,4,37],[2,5,94],[3,4,72],[3,5,61],[4,5,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1, w=1\",\"Add (1,2)=25, w=26\",\"Add (1,3)=27, w=53\",\"Add (2,4)=37, w=90\",\"Add (0,5)=50, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,3,67],[0,4,55],[0,5,50],[1,2,25],[1,3,27],[1,4,92],[2,3,40],[2,4,37],[2,5,94],[3,4,72],[3,5,61],[4,5,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1 Succeeded, w=1\",\"Add (1,2)=25 Succeeded, w=26\",\"Add (1,3)=27 Succeeded, w=53\",\"Add (2,4)=37 Succeeded, w=90\",\"Add (2,3)=40 Failed, w=90\",\"Add (0,5)=50 Succeeded, w=140\",\"Add (0,4)=55 Failed, w=140\",\"Add (3,5)=61 Failed, w=140\",\"Add (0,3)=67 Failed, w=140\",\"Add (0,1)=72 Failed, w=140\",\"Add (3,4)=72 Failed, w=140\",\"Add (1,4)=92 Failed, w=140\",\"Add (2,5)=94 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,3,67],[0,4,55],[0,5,50],[1,2,25],[1,3,27],[1,4,92],[2,3,40],[2,4,37],[2,5,94],[3,4,72],[3,5,61],[4,5,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(1,2)=25,(1,3)=27,(2,4)=37,(2,3)=40,(0,5)=50,(0,4)=55,(3,5)=61,(0,3)=67,(0,1)=72,(3,4)=72,(1,4)=92,(2,5)=94]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Find(1)=1, Find(2)=2, Add (1,2)=25 Succeeded, w=26\",\"Find(1)=1, Find(3)=3, Add (1,3)=27 Succeeded, w=53\",\"Find(2)=1, Find(4)=4, Add (2,4)=37 Succeeded, w=90\",\"Find(2)=1, Find(3)=1, Add (2,3)=40 Failed, w=90\",\"Find(0)=0, Find(5)=1, Add (0,5)=50 Succeeded, w=140\",\"Find(0)=1, Find(4)=1, Add (0,4)=55 Failed, w=140\",\"Find(3)=1, Find(5)=1, Add (3,5)=61 Failed, w=140\",\"Find(0)=1, Find(3)=1, Add (0,3)=67 Failed, w=140\",\"Find(0)=1, Find(1)=1, Add (0,1)=72 Failed, w=140\",\"Find(3)=1, Find(4)=1, Add (3,4)=72 Failed, w=140\",\"Find(1)=1, Find(4)=1, Add (1,4)=92 Failed, w=140\",\"Find(2)=1, Find(5)=1, Add (2,5)=94 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,3,67],[0,4,55],[0,5,50],[1,2,25],[1,3,27],[1,4,92],[2,3,40],[2,4,37],[2,5,94],[3,4,72],[3,5,61],[4,5,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(1,2)=25,(1,3)=27,(2,4)=37,(2,3)=40,(0,5)=50,(0,4)=55,(3,5)=61,(0,3)=67,(0,1)=72,(3,4)=72,(1,4)=92,(2,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4}, Find(1)=1, Find(2)=2, Add (1,2)=25 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4}, Find(1)=1, Find(3)=3, Add (1,3)=27 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(2)=1, Find(4)=4, Add (2,4)=37 Succeeded, w=90\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(2)=1, Find(3)=1, Add (2,3)=40 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=50 Succeeded, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=55 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=61 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=67 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=72 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=72 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=92 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=94 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,46],[0,3,15],[2,3,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,3,15],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,3,15],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,3,15],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=15, w=15\",\"Add (0,1)=46, w=61\",\"Add (2,3)=69, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,3,15],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=15 Succeeded, w=15\",\"Add (0,1)=46 Succeeded, w=61\",\"Add (2,3)=69 Succeeded, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,3,15],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=15,(0,1)=46,(2,3)=69]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=15\",\"Find(0)=0, Find(1)=1, Add (0,1)=46 Succeeded, w=61\",\"Find(2)=2, Find(3)=0, Add (2,3)=69 Succeeded, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,3,15],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=15,(0,1)=46,(2,3)=69]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=46 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=69 Succeeded, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,59],[0,2,45],[0,3,44],[0,4,5],[0,5,63],[1,2,61],[1,3,37],[1,4,96],[1,5,26],[1,7,85],[2,3,79],[2,4,2],[2,5,0],[2,6,92],[2,7,84],[3,4,44],[3,5,92],[3,6,58],[4,6,66],[5,6,33],[5,7,31],[6,7,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,59],[0,2,45],[0,3,44],[0,4,5],[0,5,63],[1,2,61],[1,3,37],[1,4,96],[1,5,26],[1,7,85],[2,3,79],[2,4,2],[2,5,0],[2,6,92],[2,7,84],[3,4,44],[3,5,92],[3,6,58],[4,6,66],[5,6,33],[5,7,31],[6,7,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,59],[0,2,45],[0,3,44],[0,4,5],[0,5,63],[1,2,61],[1,3,37],[1,4,96],[1,5,26],[1,7,85],[2,3,79],[2,4,2],[2,5,0],[2,6,92],[2,7,84],[3,4,44],[3,5,92],[3,6,58],[4,6,66],[5,6,33],[5,7,31],[6,7,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (6,7)\",\"Add (2,4)\",\"Add (0,4)\",\"Add (1,5)\",\"Add (5,7)\",\"Add (1,3)\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,59],[0,2,45],[0,3,44],[0,4,5],[0,5,63],[1,2,61],[1,3,37],[1,4,96],[1,5,26],[1,7,85],[2,3,79],[2,4,2],[2,5,0],[2,6,92],[2,7,84],[3,4,44],[3,5,92],[3,6,58],[4,6,66],[5,6,33],[5,7,31],[6,7,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0, w=0\",\"Add (6,7)=1, w=1\",\"Add (2,4)=2, w=3\",\"Add (0,4)=5, w=8\",\"Add (1,5)=26, w=34\",\"Add (5,7)=31, w=65\",\"Add (1,3)=37, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,59],[0,2,45],[0,3,44],[0,4,5],[0,5,63],[1,2,61],[1,3,37],[1,4,96],[1,5,26],[1,7,85],[2,3,79],[2,4,2],[2,5,0],[2,6,92],[2,7,84],[3,4,44],[3,5,92],[3,6,58],[4,6,66],[5,6,33],[5,7,31],[6,7,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0 Succeeded, w=0\",\"Add (6,7)=1 Succeeded, w=1\",\"Add (2,4)=2 Succeeded, w=3\",\"Add (0,4)=5 Succeeded, w=8\",\"Add (1,5)=26 Succeeded, w=34\",\"Add (5,7)=31 Succeeded, w=65\",\"Add (5,6)=33 Failed, w=65\",\"Add (1,3)=37 Succeeded, w=102\",\"Add (0,3)=44 Failed, w=102\",\"Add (3,4)=44 Failed, w=102\",\"Add (0,2)=45 Failed, w=102\",\"Add (3,6)=58 Failed, w=102\",\"Add (0,1)=59 Failed, w=102\",\"Add (1,2)=61 Failed, w=102\",\"Add (0,5)=63 Failed, w=102\",\"Add (4,6)=66 Failed, w=102\",\"Add (2,3)=79 Failed, w=102\",\"Add (2,7)=84 Failed, w=102\",\"Add (1,7)=85 Failed, w=102\",\"Add (2,6)=92 Failed, w=102\",\"Add (3,5)=92 Failed, w=102\",\"Add (1,4)=96 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,59],[0,2,45],[0,3,44],[0,4,5],[0,5,63],[1,2,61],[1,3,37],[1,4,96],[1,5,26],[1,7,85],[2,3,79],[2,4,2],[2,5,0],[2,6,92],[2,7,84],[3,4,44],[3,5,92],[3,6,58],[4,6,66],[5,6,33],[5,7,31],[6,7,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(6,7)=1,(2,4)=2,(0,4)=5,(1,5)=26,(5,7)=31,(5,6)=33,(1,3)=37,(0,3)=44,(3,4)=44,(0,2)=45,(3,6)=58,(0,1)=59,(1,2)=61,(0,5)=63,(4,6)=66,(2,3)=79,(2,7)=84,(1,7)=85,(2,6)=92,(3,5)=92,(1,4)=96]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Find(6)=6, Find(7)=7, Add (6,7)=1 Succeeded, w=1\",\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=3\",\"Find(0)=0, Find(4)=2, Add (0,4)=5 Succeeded, w=8\",\"Find(1)=1, Find(5)=2, Add (1,5)=26 Succeeded, w=34\",\"Find(5)=2, Find(7)=6, Add (5,7)=31 Succeeded, w=65\",\"Find(5)=2, Find(6)=2, Add (5,6)=33 Failed, w=65\",\"Find(1)=2, Find(3)=3, Add (1,3)=37 Succeeded, w=102\",\"Find(0)=2, Find(3)=2, Add (0,3)=44 Failed, w=102\",\"Find(3)=2, Find(4)=2, Add (3,4)=44 Failed, w=102\",\"Find(0)=2, Find(2)=2, Add (0,2)=45 Failed, w=102\",\"Find(3)=2, Find(6)=2, Add (3,6)=58 Failed, w=102\",\"Find(0)=2, Find(1)=2, Add (0,1)=59 Failed, w=102\",\"Find(1)=2, Find(2)=2, Add (1,2)=61 Failed, w=102\",\"Find(0)=2, Find(5)=2, Add (0,5)=63 Failed, w=102\",\"Find(4)=2, Find(6)=2, Add (4,6)=66 Failed, w=102\",\"Find(2)=2, Find(3)=2, Add (2,3)=79 Failed, w=102\",\"Find(2)=2, Find(7)=2, Add (2,7)=84 Failed, w=102\",\"Find(1)=2, Find(7)=2, Add (1,7)=85 Failed, w=102\",\"Find(2)=2, Find(6)=2, Add (2,6)=92 Failed, w=102\",\"Find(3)=2, Find(5)=2, Add (3,5)=92 Failed, w=102\",\"Find(1)=2, Find(4)=2, Add (1,4)=96 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,59],[0,2,45],[0,3,44],[0,4,5],[0,5,63],[1,2,61],[1,3,37],[1,4,96],[1,5,26],[1,7,85],[2,3,79],[2,4,2],[2,5,0],[2,6,92],[2,7,84],[3,4,44],[3,5,92],[3,6,58],[4,6,66],[5,6,33],[5,7,31],[6,7,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(6,7)=1,(2,4)=2,(0,4)=5,(1,5)=26,(5,7)=31,(5,6)=33,(1,3)=37,(0,3)=44,(3,4)=44,(0,2)=45,(3,6)=58,(0,1)=59,(1,2)=61,(0,5)=63,(4,6)=66,(2,3)=79,(2,7)=84,(1,7)=85,(2,6)=92,(3,5)=92,(1,4)=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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6, 7: 6}, Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=3\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6, 7: 6}, Find(0)=0, Find(4)=2, Add (0,4)=5 Succeeded, w=8\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6, 7: 6}, Find(1)=1, Find(5)=2, Add (1,5)=26 Succeeded, w=34\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 6}, Find(5)=2, Find(7)=6, Add (5,7)=31 Succeeded, w=65\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 6}, Find(5)=2, Find(6)=2, Add (5,6)=33 Failed, w=65\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 6}, Find(1)=2, Find(3)=3, Add (1,3)=37 Succeeded, w=102\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 6}, Find(0)=2, Find(3)=2, Add (0,3)=44 Failed, w=102\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 6}, Find(3)=2, Find(4)=2, Add (3,4)=44 Failed, w=102\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 6}, Find(0)=2, Find(2)=2, Add (0,2)=45 Failed, w=102\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 6}, Find(3)=2, Find(6)=2, Add (3,6)=58 Failed, w=102\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 6}, Find(0)=2, Find(1)=2, Add (0,1)=59 Failed, w=102\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 6}, Find(1)=2, Find(2)=2, Add (1,2)=61 Failed, w=102\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 6}, Find(0)=2, Find(5)=2, Add (0,5)=63 Failed, w=102\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 6}, Find(4)=2, Find(6)=2, Add (4,6)=66 Failed, w=102\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 6}, Find(2)=2, Find(3)=2, Add (2,3)=79 Failed, w=102\",\"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)=84 Failed, w=102\",\"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)=85 Failed, w=102\",\"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)=92 Failed, w=102\",\"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)=92 Failed, w=102\",\"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)=96 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,67],[0,2,72],[0,3,57],[0,5,98],[0,6,76],[1,2,53],[1,3,97],[1,4,96],[1,5,88],[1,6,20],[2,3,84],[2,4,84],[2,5,51],[2,6,70],[3,4,98],[3,5,95],[3,6,1],[4,5,14],[4,6,88],[5,6,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,72],[0,3,57],[0,5,98],[0,6,76],[1,2,53],[1,3,97],[1,4,96],[1,5,88],[1,6,20],[2,3,84],[2,4,84],[2,5,51],[2,6,70],[3,4,98],[3,5,95],[3,6,1],[4,5,14],[4,6,88],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,72],[0,3,57],[0,5,98],[0,6,76],[1,2,53],[1,3,97],[1,4,96],[1,5,88],[1,6,20],[2,3,84],[2,4,84],[2,5,51],[2,6,70],[3,4,98],[3,5,95],[3,6,1],[4,5,14],[4,6,88],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (4,5)\",\"Add (1,6)\",\"Add (5,6)\",\"Add (2,5)\",\"Add (0,3)\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,72],[0,3,57],[0,5,98],[0,6,76],[1,2,53],[1,3,97],[1,4,96],[1,5,88],[1,6,20],[2,3,84],[2,4,84],[2,5,51],[2,6,70],[3,4,98],[3,5,95],[3,6,1],[4,5,14],[4,6,88],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=1, w=1\",\"Add (4,5)=14, w=15\",\"Add (1,6)=20, w=35\",\"Add (5,6)=37, w=72\",\"Add (2,5)=51, w=123\",\"Add (0,3)=57, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,72],[0,3,57],[0,5,98],[0,6,76],[1,2,53],[1,3,97],[1,4,96],[1,5,88],[1,6,20],[2,3,84],[2,4,84],[2,5,51],[2,6,70],[3,4,98],[3,5,95],[3,6,1],[4,5,14],[4,6,88],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=1 Succeeded, w=1\",\"Add (4,5)=14 Succeeded, w=15\",\"Add (1,6)=20 Succeeded, w=35\",\"Add (5,6)=37 Succeeded, w=72\",\"Add (2,5)=51 Succeeded, w=123\",\"Add (1,2)=53 Failed, w=123\",\"Add (0,3)=57 Succeeded, w=180\",\"Add (0,1)=67 Failed, w=180\",\"Add (2,6)=70 Failed, w=180\",\"Add (0,2)=72 Failed, w=180\",\"Add (0,6)=76 Failed, w=180\",\"Add (2,3)=84 Failed, w=180\",\"Add (2,4)=84 Failed, w=180\",\"Add (1,5)=88 Failed, w=180\",\"Add (4,6)=88 Failed, w=180\",\"Add (3,5)=95 Failed, w=180\",\"Add (1,4)=96 Failed, w=180\",\"Add (1,3)=97 Failed, w=180\",\"Add (0,5)=98 Failed, w=180\",\"Add (3,4)=98 Failed, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,72],[0,3,57],[0,5,98],[0,6,76],[1,2,53],[1,3,97],[1,4,96],[1,5,88],[1,6,20],[2,3,84],[2,4,84],[2,5,51],[2,6,70],[3,4,98],[3,5,95],[3,6,1],[4,5,14],[4,6,88],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=1,(4,5)=14,(1,6)=20,(5,6)=37,(2,5)=51,(1,2)=53,(0,3)=57,(0,1)=67,(2,6)=70,(0,2)=72,(0,6)=76,(2,3)=84,(2,4)=84,(1,5)=88,(4,6)=88,(3,5)=95,(1,4)=96,(1,3)=97,(0,5)=98,(3,4)=98]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=1 Succeeded, w=1\",\"Find(4)=4, Find(5)=5, Add (4,5)=14 Succeeded, w=15\",\"Find(1)=1, Find(6)=3, Add (1,6)=20 Succeeded, w=35\",\"Find(5)=4, Find(6)=3, Add (5,6)=37 Succeeded, w=72\",\"Find(2)=2, Find(5)=4, Add (2,5)=51 Succeeded, w=123\",\"Find(1)=4, Find(2)=4, Add (1,2)=53 Failed, w=123\",\"Find(0)=0, Find(3)=4, Add (0,3)=57 Succeeded, w=180\",\"Find(0)=4, Find(1)=4, Add (0,1)=67 Failed, w=180\",\"Find(2)=4, Find(6)=4, Add (2,6)=70 Failed, w=180\",\"Find(0)=4, Find(2)=4, Add (0,2)=72 Failed, w=180\",\"Find(0)=4, Find(6)=4, Add (0,6)=76 Failed, w=180\",\"Find(2)=4, Find(3)=4, Add (2,3)=84 Failed, w=180\",\"Find(2)=4, Find(4)=4, Add (2,4)=84 Failed, w=180\",\"Find(1)=4, Find(5)=4, Add (1,5)=88 Failed, w=180\",\"Find(4)=4, Find(6)=4, Add (4,6)=88 Failed, w=180\",\"Find(3)=4, Find(5)=4, Add (3,5)=95 Failed, w=180\",\"Find(1)=4, Find(4)=4, Add (1,4)=96 Failed, w=180\",\"Find(1)=4, Find(3)=4, Add (1,3)=97 Failed, w=180\",\"Find(0)=4, Find(5)=4, Add (0,5)=98 Failed, w=180\",\"Find(3)=4, Find(4)=4, Add (3,4)=98 Failed, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,72],[0,3,57],[0,5,98],[0,6,76],[1,2,53],[1,3,97],[1,4,96],[1,5,88],[1,6,20],[2,3,84],[2,4,84],[2,5,51],[2,6,70],[3,4,98],[3,5,95],[3,6,1],[4,5,14],[4,6,88],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=1,(4,5)=14,(1,6)=20,(5,6)=37,(2,5)=51,(1,2)=53,(0,3)=57,(0,1)=67,(2,6)=70,(0,2)=72,(0,6)=76,(2,3)=84,(2,4)=84,(1,5)=88,(4,6)=88,(3,5)=95,(1,4)=96,(1,3)=97,(0,5)=98,(3,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 3}, Find(4)=4, Find(5)=5, Add (4,5)=14 Succeeded, w=15\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 4, 6: 3}, Find(1)=1, Find(6)=3, Add (1,6)=20 Succeeded, w=35\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 4, 4: 4, 5: 4, 6: 3}, Find(5)=4, Find(6)=3, Add (5,6)=37 Succeeded, w=72\",\"Parent: {0: 0, 1: 3, 2: 4, 3: 4, 4: 4, 5: 4, 6: 3}, Find(2)=2, Find(5)=4, Add (2,5)=51 Succeeded, w=123\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 3}, Find(1)=4, Find(2)=4, Add (1,2)=53 Failed, w=123\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 3}, Find(0)=0, Find(3)=4, Add (0,3)=57 Succeeded, w=180\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 3}, Find(0)=4, Find(1)=4, Add (0,1)=67 Failed, w=180\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(6)=4, Add (2,6)=70 Failed, w=180\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(2)=4, Add (0,2)=72 Failed, w=180\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(6)=4, Add (0,6)=76 Failed, w=180\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(3)=4, Add (2,3)=84 Failed, w=180\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(4)=4, Add (2,4)=84 Failed, w=180\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(5)=4, Add (1,5)=88 Failed, w=180\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(6)=4, Add (4,6)=88 Failed, w=180\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(5)=4, Add (3,5)=95 Failed, w=180\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(4)=4, Add (1,4)=96 Failed, w=180\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(3)=4, Add (1,3)=97 Failed, w=180\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(5)=4, Add (0,5)=98 Failed, w=180\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(4)=4, Add (3,4)=98 Failed, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,98],[0,2,51],[0,3,58],[1,2,3],[1,3,44],[2,3,6]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,51],[0,3,58],[1,2,3],[1,3,44],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,51],[0,3,58],[1,2,3],[1,3,44],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,51],[0,3,58],[1,2,3],[1,3,44],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (2,3)=6, w=9\",\"Add (0,2)=51, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,51],[0,3,58],[1,2,3],[1,3,44],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (2,3)=6 Succeeded, w=9\",\"Add (1,3)=44 Failed, w=9\",\"Add (0,2)=51 Succeeded, w=60\",\"Add (0,3)=58 Failed, w=60\",\"Add (0,1)=98 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,51],[0,3,58],[1,2,3],[1,3,44],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(2,3)=6,(1,3)=44,(0,2)=51,(0,3)=58,(0,1)=98]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(2)=1, Find(3)=3, Add (2,3)=6 Succeeded, w=9\",\"Find(1)=1, Find(3)=1, Add (1,3)=44 Failed, w=9\",\"Find(0)=0, Find(2)=1, Add (0,2)=51 Succeeded, w=60\",\"Find(0)=1, Find(3)=1, Add (0,3)=58 Failed, w=60\",\"Find(0)=1, Find(1)=1, Add (0,1)=98 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,51],[0,3,58],[1,2,3],[1,3,44],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(2,3)=6,(1,3)=44,(0,2)=51,(0,3)=58,(0,1)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=6 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=44 Failed, w=9\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=51 Succeeded, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=58 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=98 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,31],[0,4,31],[1,2,32],[1,4,22],[2,3,75],[2,4,48],[3,4,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,4,31],[1,2,32],[1,4,22],[2,3,75],[2,4,48],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,4,31],[1,2,32],[1,4,22],[2,3,75],[2,4,48],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,4)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,4,31],[1,2,32],[1,4,22],[2,3,75],[2,4,48],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=12, w=12\",\"Add (1,4)=22, w=34\",\"Add (0,1)=31, w=65\",\"Add (1,2)=32, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,4,31],[1,2,32],[1,4,22],[2,3,75],[2,4,48],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=12 Succeeded, w=12\",\"Add (1,4)=22 Succeeded, w=34\",\"Add (0,1)=31 Succeeded, w=65\",\"Add (0,4)=31 Failed, w=65\",\"Add (1,2)=32 Succeeded, w=97\",\"Add (2,4)=48 Failed, w=97\",\"Add (2,3)=75 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,4,31],[1,2,32],[1,4,22],[2,3,75],[2,4,48],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=12,(1,4)=22,(0,1)=31,(0,4)=31,(1,2)=32,(2,4)=48,(2,3)=75]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=12\",\"Find(1)=1, Find(4)=3, Add (1,4)=22 Succeeded, w=34\",\"Find(0)=0, Find(1)=3, Add (0,1)=31 Succeeded, w=65\",\"Find(0)=3, Find(4)=3, Add (0,4)=31 Failed, w=65\",\"Find(1)=3, Find(2)=2, Add (1,2)=32 Succeeded, w=97\",\"Find(2)=3, Find(4)=3, Add (2,4)=48 Failed, w=97\",\"Find(2)=3, Find(3)=3, Add (2,3)=75 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,4,31],[1,2,32],[1,4,22],[2,3,75],[2,4,48],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=12,(1,4)=22,(0,1)=31,(0,4)=31,(1,2)=32,(2,4)=48,(2,3)=75]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3}, Find(1)=1, Find(4)=3, Add (1,4)=22 Succeeded, w=34\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(1)=3, Add (0,1)=31 Succeeded, w=65\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3}, Find(0)=3, Find(4)=3, Add (0,4)=31 Failed, w=65\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(2)=2, Add (1,2)=32 Succeeded, w=97\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(4)=3, Add (2,4)=48 Failed, w=97\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(3)=3, Add (2,3)=75 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,83],[0,3,19],[1,2,25],[1,3,45],[2,3,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,83],[0,3,19],[1,2,25],[1,3,45],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,83],[0,3,19],[1,2,25],[1,3,45],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,83],[0,3,19],[1,2,25],[1,3,45],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=16, w=16\",\"Add (0,3)=19, w=35\",\"Add (1,2)=25, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,83],[0,3,19],[1,2,25],[1,3,45],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=16 Succeeded, w=16\",\"Add (0,3)=19 Succeeded, w=35\",\"Add (1,2)=25 Succeeded, w=60\",\"Add (1,3)=45 Failed, w=60\",\"Add (0,2)=83 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,83],[0,3,19],[1,2,25],[1,3,45],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=16,(0,3)=19,(1,2)=25,(1,3)=45,(0,2)=83]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=16\",\"Find(0)=0, Find(3)=2, Add (0,3)=19 Succeeded, w=35\",\"Find(1)=1, Find(2)=2, Add (1,2)=25 Succeeded, w=60\",\"Find(1)=2, Find(3)=2, Add (1,3)=45 Failed, w=60\",\"Find(0)=2, Find(2)=2, Add (0,2)=83 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,83],[0,3,19],[1,2,25],[1,3,45],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=16,(0,3)=19,(1,2)=25,(1,3)=45,(0,2)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=16\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=19 Succeeded, w=35\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=25 Succeeded, w=60\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=45 Failed, w=60\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=83 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,75],[0,2,50],[0,3,42],[0,4,8],[0,5,36],[1,2,94],[1,3,32],[1,4,97],[1,5,13],[2,3,47],[2,4,32],[2,5,95],[3,5,33],[4,5,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,50],[0,3,42],[0,4,8],[0,5,36],[1,2,94],[1,3,32],[1,4,97],[1,5,13],[2,3,47],[2,4,32],[2,5,95],[3,5,33],[4,5,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,50],[0,3,42],[0,4,8],[0,5,36],[1,2,94],[1,3,32],[1,4,97],[1,5,13],[2,3,47],[2,4,32],[2,5,95],[3,5,33],[4,5,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,5)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (0,5)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,50],[0,3,42],[0,4,8],[0,5,36],[1,2,94],[1,3,32],[1,4,97],[1,5,13],[2,3,47],[2,4,32],[2,5,95],[3,5,33],[4,5,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=8, w=8\",\"Add (1,5)=13, w=21\",\"Add (1,3)=32, w=53\",\"Add (2,4)=32, w=85\",\"Add (0,5)=36, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,50],[0,3,42],[0,4,8],[0,5,36],[1,2,94],[1,3,32],[1,4,97],[1,5,13],[2,3,47],[2,4,32],[2,5,95],[3,5,33],[4,5,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=8 Succeeded, w=8\",\"Add (1,5)=13 Succeeded, w=21\",\"Add (1,3)=32 Succeeded, w=53\",\"Add (2,4)=32 Succeeded, w=85\",\"Add (3,5)=33 Failed, w=85\",\"Add (0,5)=36 Succeeded, w=121\",\"Add (0,3)=42 Failed, w=121\",\"Add (2,3)=47 Failed, w=121\",\"Add (0,2)=50 Failed, w=121\",\"Add (4,5)=72 Failed, w=121\",\"Add (0,1)=75 Failed, w=121\",\"Add (1,2)=94 Failed, w=121\",\"Add (2,5)=95 Failed, w=121\",\"Add (1,4)=97 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,50],[0,3,42],[0,4,8],[0,5,36],[1,2,94],[1,3,32],[1,4,97],[1,5,13],[2,3,47],[2,4,32],[2,5,95],[3,5,33],[4,5,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=8,(1,5)=13,(1,3)=32,(2,4)=32,(3,5)=33,(0,5)=36,(0,3)=42,(2,3)=47,(0,2)=50,(4,5)=72,(0,1)=75,(1,2)=94,(2,5)=95,(1,4)=97]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=8\",\"Find(1)=1, Find(5)=5, Add (1,5)=13 Succeeded, w=21\",\"Find(1)=1, Find(3)=3, Add (1,3)=32 Succeeded, w=53\",\"Find(2)=2, Find(4)=0, Add (2,4)=32 Succeeded, w=85\",\"Find(3)=1, Find(5)=1, Add (3,5)=33 Failed, w=85\",\"Find(0)=0, Find(5)=1, Add (0,5)=36 Succeeded, w=121\",\"Find(0)=0, Find(3)=0, Add (0,3)=42 Failed, w=121\",\"Find(2)=0, Find(3)=0, Add (2,3)=47 Failed, w=121\",\"Find(0)=0, Find(2)=0, Add (0,2)=50 Failed, w=121\",\"Find(4)=0, Find(5)=0, Add (4,5)=72 Failed, w=121\",\"Find(0)=0, Find(1)=0, Add (0,1)=75 Failed, w=121\",\"Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=121\",\"Find(2)=0, Find(5)=0, Add (2,5)=95 Failed, w=121\",\"Find(1)=0, Find(4)=0, Add (1,4)=97 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,50],[0,3,42],[0,4,8],[0,5,36],[1,2,94],[1,3,32],[1,4,97],[1,5,13],[2,3,47],[2,4,32],[2,5,95],[3,5,33],[4,5,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=8,(1,5)=13,(1,3)=32,(2,4)=32,(3,5)=33,(0,5)=36,(0,3)=42,(2,3)=47,(0,2)=50,(4,5)=72,(0,1)=75,(1,2)=94,(2,5)=95,(1,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=13 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 1}, Find(1)=1, Find(3)=3, Add (1,3)=32 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 1}, Find(2)=2, Find(4)=0, Add (2,4)=32 Succeeded, w=85\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=33 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=36 Succeeded, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(0)=0, Find(3)=0, Add (0,3)=42 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(2)=0, Find(3)=0, Add (2,3)=47 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(0)=0, Find(2)=0, Add (0,2)=50 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=72 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=75 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=95 Failed, w=121\",\"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=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,96],[0,3,43],[0,4,14],[1,3,66],[1,4,11],[2,3,47],[2,4,55],[3,4,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,43],[0,4,14],[1,3,66],[1,4,11],[2,3,47],[2,4,55],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,43],[0,4,14],[1,3,66],[1,4,11],[2,3,47],[2,4,55],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (2,3)\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,43],[0,4,14],[1,3,66],[1,4,11],[2,3,47],[2,4,55],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2, w=2\",\"Add (1,4)=11, w=13\",\"Add (0,4)=14, w=27\",\"Add (2,3)=47, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,43],[0,4,14],[1,3,66],[1,4,11],[2,3,47],[2,4,55],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2 Succeeded, w=2\",\"Add (1,4)=11 Succeeded, w=13\",\"Add (0,4)=14 Succeeded, w=27\",\"Add (0,3)=43 Failed, w=27\",\"Add (2,3)=47 Succeeded, w=74\",\"Add (2,4)=55 Failed, w=74\",\"Add (1,3)=66 Failed, w=74\",\"Add (0,1)=96 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,43],[0,4,14],[1,3,66],[1,4,11],[2,3,47],[2,4,55],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(1,4)=11,(0,4)=14,(0,3)=43,(2,3)=47,(2,4)=55,(1,3)=66,(0,1)=96]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Find(1)=1, Find(4)=3, Add (1,4)=11 Succeeded, w=13\",\"Find(0)=0, Find(4)=3, Add (0,4)=14 Succeeded, w=27\",\"Find(0)=3, Find(3)=3, Add (0,3)=43 Failed, w=27\",\"Find(2)=2, Find(3)=3, Add (2,3)=47 Succeeded, w=74\",\"Find(2)=3, Find(4)=3, Add (2,4)=55 Failed, w=74\",\"Find(1)=3, Find(3)=3, Add (1,3)=66 Failed, w=74\",\"Find(0)=3, Find(1)=3, Add (0,1)=96 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,43],[0,4,14],[1,3,66],[1,4,11],[2,3,47],[2,4,55],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(1,4)=11,(0,4)=14,(0,3)=43,(2,3)=47,(2,4)=55,(1,3)=66,(0,1)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3}, Find(1)=1, Find(4)=3, Add (1,4)=11 Succeeded, w=13\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=14 Succeeded, w=27\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3}, Find(0)=3, Find(3)=3, Add (0,3)=43 Failed, w=27\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(3)=3, Add (2,3)=47 Succeeded, w=74\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(4)=3, Add (2,4)=55 Failed, w=74\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(3)=3, Add (1,3)=66 Failed, w=74\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(1)=3, Add (0,1)=96 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,73],[0,2,45],[0,3,64],[0,4,25],[1,2,26],[1,3,93],[1,4,47],[2,4,46],[3,4,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,73],[0,2,45],[0,3,64],[0,4,25],[1,2,26],[1,3,93],[1,4,47],[2,4,46],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,73],[0,2,45],[0,3,64],[0,4,25],[1,2,26],[1,3,93],[1,4,47],[2,4,46],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,73],[0,2,45],[0,3,64],[0,4,25],[1,2,26],[1,3,93],[1,4,47],[2,4,46],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=25, w=25\",\"Add (3,4)=25, w=50\",\"Add (1,2)=26, w=76\",\"Add (0,2)=45, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,73],[0,2,45],[0,3,64],[0,4,25],[1,2,26],[1,3,93],[1,4,47],[2,4,46],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=25 Succeeded, w=25\",\"Add (3,4)=25 Succeeded, w=50\",\"Add (1,2)=26 Succeeded, w=76\",\"Add (0,2)=45 Succeeded, w=121\",\"Add (2,4)=46 Failed, w=121\",\"Add (1,4)=47 Failed, w=121\",\"Add (0,3)=64 Failed, w=121\",\"Add (0,1)=73 Failed, w=121\",\"Add (1,3)=93 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,73],[0,2,45],[0,3,64],[0,4,25],[1,2,26],[1,3,93],[1,4,47],[2,4,46],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=25,(3,4)=25,(1,2)=26,(0,2)=45,(2,4)=46,(1,4)=47,(0,3)=64,(0,1)=73,(1,3)=93]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=25 Succeeded, w=25\",\"Find(3)=3, Find(4)=0, Add (3,4)=25 Succeeded, w=50\",\"Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=76\",\"Find(0)=0, Find(2)=1, Add (0,2)=45 Succeeded, w=121\",\"Find(2)=0, Find(4)=0, Add (2,4)=46 Failed, w=121\",\"Find(1)=0, Find(4)=0, Add (1,4)=47 Failed, w=121\",\"Find(0)=0, Find(3)=0, Add (0,3)=64 Failed, w=121\",\"Find(0)=0, Find(1)=0, Add (0,1)=73 Failed, w=121\",\"Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,73],[0,2,45],[0,3,64],[0,4,25],[1,2,26],[1,3,93],[1,4,47],[2,4,46],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=25,(3,4)=25,(1,2)=26,(0,2)=45,(2,4)=46,(1,4)=47,(0,3)=64,(0,1)=73,(1,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=25 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=25 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0}, Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=76\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(2)=1, Add (0,2)=45 Succeeded, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=46 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=47 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=64 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=73 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,56],[0,4,18],[0,5,40],[1,2,56],[1,3,76],[1,4,19],[1,5,67],[2,3,22],[2,4,57],[2,5,18],[3,4,69],[3,5,50],[4,5,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,56],[0,4,18],[0,5,40],[1,2,56],[1,3,76],[1,4,19],[1,5,67],[2,3,22],[2,4,57],[2,5,18],[3,4,69],[3,5,50],[4,5,60]]}",
"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\":[[0,2,56],[0,4,18],[0,5,40],[1,2,56],[1,3,76],[1,4,19],[1,5,67],[2,3,22],[2,4,57],[2,5,18],[3,4,69],[3,5,50],[4,5,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,5)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (0,5)\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,56],[0,4,18],[0,5,40],[1,2,56],[1,3,76],[1,4,19],[1,5,67],[2,3,22],[2,4,57],[2,5,18],[3,4,69],[3,5,50],[4,5,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=18, w=18\",\"Add (2,5)=18, w=36\",\"Add (1,4)=19, w=55\",\"Add (2,3)=22, w=77\",\"Add (0,5)=40, 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\":[[0,2,56],[0,4,18],[0,5,40],[1,2,56],[1,3,76],[1,4,19],[1,5,67],[2,3,22],[2,4,57],[2,5,18],[3,4,69],[3,5,50],[4,5,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=18 Succeeded, w=18\",\"Add (2,5)=18 Succeeded, w=36\",\"Add (1,4)=19 Succeeded, w=55\",\"Add (2,3)=22 Succeeded, w=77\",\"Add (0,5)=40 Succeeded, w=117\",\"Add (3,5)=50 Failed, w=117\",\"Add (0,2)=56 Failed, w=117\",\"Add (1,2)=56 Failed, w=117\",\"Add (2,4)=57 Failed, w=117\",\"Add (4,5)=60 Failed, w=117\",\"Add (1,5)=67 Failed, w=117\",\"Add (3,4)=69 Failed, w=117\",\"Add (1,3)=76 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\":[[0,2,56],[0,4,18],[0,5,40],[1,2,56],[1,3,76],[1,4,19],[1,5,67],[2,3,22],[2,4,57],[2,5,18],[3,4,69],[3,5,50],[4,5,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=18,(2,5)=18,(1,4)=19,(2,3)=22,(0,5)=40,(3,5)=50,(0,2)=56,(1,2)=56,(2,4)=57,(4,5)=60,(1,5)=67,(3,4)=69,(1,3)=76]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=18 Succeeded, w=18\",\"Find(2)=2, Find(5)=5, Add (2,5)=18 Succeeded, w=36\",\"Find(1)=1, Find(4)=0, Add (1,4)=19 Succeeded, w=55\",\"Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=77\",\"Find(0)=0, Find(5)=2, Add (0,5)=40 Succeeded, w=117\",\"Find(3)=0, Find(5)=0, Add (3,5)=50 Failed, w=117\",\"Find(0)=0, Find(2)=0, Add (0,2)=56 Failed, w=117\",\"Find(1)=0, Find(2)=0, Add (1,2)=56 Failed, w=117\",\"Find(2)=0, Find(4)=0, Add (2,4)=57 Failed, w=117\",\"Find(4)=0, Find(5)=0, Add (4,5)=60 Failed, w=117\",\"Find(1)=0, Find(5)=0, Add (1,5)=67 Failed, w=117\",\"Find(3)=0, Find(4)=0, Add (3,4)=69 Failed, w=117\",\"Find(1)=0, Find(3)=0, Add (1,3)=76 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\":[[0,2,56],[0,4,18],[0,5,40],[1,2,56],[1,3,76],[1,4,19],[1,5,67],[2,3,22],[2,4,57],[2,5,18],[3,4,69],[3,5,50],[4,5,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=18,(2,5)=18,(1,4)=19,(2,3)=22,(0,5)=40,(3,5)=50,(0,2)=56,(1,2)=56,(2,4)=57,(4,5)=60,(1,5)=67,(3,4)=69,(1,3)=76]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=18 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 2}, Find(1)=1, Find(4)=0, Add (1,4)=19 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 2}, Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 2}, Find(0)=0, Find(5)=2, Add (0,5)=40 Succeeded, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=50 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=56 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=56 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=57 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=60 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=67 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=69 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=76 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,10],[0,3,67],[0,4,56],[0,5,46],[1,2,27],[1,4,12],[1,5,8],[2,3,1],[2,5,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,3,67],[0,4,56],[0,5,46],[1,2,27],[1,4,12],[1,5,8],[2,3,1],[2,5,23]]}",
"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],\"edges\":[[0,1,10],[0,3,67],[0,4,56],[0,5,46],[1,2,27],[1,4,12],[1,5,8],[2,3,1],[2,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,5)\",\"Add (0,1)\",\"Add (1,4)\",\"Add (2,5)\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,3,67],[0,4,56],[0,5,46],[1,2,27],[1,4,12],[1,5,8],[2,3,1],[2,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (1,5)=8, w=9\",\"Add (0,1)=10, w=19\",\"Add (1,4)=12, w=31\",\"Add (2,5)=23, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,3,67],[0,4,56],[0,5,46],[1,2,27],[1,4,12],[1,5,8],[2,3,1],[2,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (1,5)=8 Succeeded, w=9\",\"Add (0,1)=10 Succeeded, w=19\",\"Add (1,4)=12 Succeeded, w=31\",\"Add (2,5)=23 Succeeded, w=54\",\"Add (1,2)=27 Failed, w=54\",\"Add (0,5)=46 Failed, w=54\",\"Add (0,4)=56 Failed, w=54\",\"Add (0,3)=67 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],\"edges\":[[0,1,10],[0,3,67],[0,4,56],[0,5,46],[1,2,27],[1,4,12],[1,5,8],[2,3,1],[2,5,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(1,5)=8,(0,1)=10,(1,4)=12,(2,5)=23,(1,2)=27,(0,5)=46,(0,4)=56,(0,3)=67]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(1)=1, Find(5)=5, Add (1,5)=8 Succeeded, w=9\",\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=19\",\"Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=31\",\"Find(2)=2, Find(5)=1, Add (2,5)=23 Succeeded, w=54\",\"Find(1)=2, Find(2)=2, Add (1,2)=27 Failed, w=54\",\"Find(0)=2, Find(5)=2, Add (0,5)=46 Failed, w=54\",\"Find(0)=2, Find(4)=2, Add (0,4)=56 Failed, w=54\",\"Find(0)=2, Find(3)=2, Add (0,3)=67 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],\"edges\":[[0,1,10],[0,3,67],[0,4,56],[0,5,46],[1,2,27],[1,4,12],[1,5,8],[2,3,1],[2,5,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(1,5)=8,(0,1)=10,(1,4)=12,(2,5)=23,(1,2)=27,(0,5)=46,(0,4)=56,(0,3)=67]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=8 Succeeded, w=9\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=19\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1}, Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=31\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 1, 5: 1}, Find(2)=2, Find(5)=1, Add (2,5)=23 Succeeded, w=54\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 1, 5: 1}, Find(1)=2, Find(2)=2, Add (1,2)=27 Failed, w=54\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=46 Failed, w=54\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=56 Failed, w=54\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=67 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,24],[0,2,64],[0,3,40],[0,4,92],[0,5,11],[1,2,23],[1,3,25],[1,4,2],[1,5,4],[2,3,50],[2,4,47],[2,5,65],[3,4,93],[3,5,5],[4,5,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,64],[0,3,40],[0,4,92],[0,5,11],[1,2,23],[1,3,25],[1,4,2],[1,5,4],[2,3,50],[2,4,47],[2,5,65],[3,4,93],[3,5,5],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,64],[0,3,40],[0,4,92],[0,5,11],[1,2,23],[1,3,25],[1,4,2],[1,5,4],[2,3,50],[2,4,47],[2,5,65],[3,4,93],[3,5,5],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,5)\",\"Add (3,5)\",\"Add (0,5)\",\"Add (1,2)\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,64],[0,3,40],[0,4,92],[0,5,11],[1,2,23],[1,3,25],[1,4,2],[1,5,4],[2,3,50],[2,4,47],[2,5,65],[3,4,93],[3,5,5],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2, w=2\",\"Add (1,5)=4, w=6\",\"Add (3,5)=5, w=11\",\"Add (0,5)=11, w=22\",\"Add (1,2)=23, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,64],[0,3,40],[0,4,92],[0,5,11],[1,2,23],[1,3,25],[1,4,2],[1,5,4],[2,3,50],[2,4,47],[2,5,65],[3,4,93],[3,5,5],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2 Succeeded, w=2\",\"Add (1,5)=4 Succeeded, w=6\",\"Add (3,5)=5 Succeeded, w=11\",\"Add (0,5)=11 Succeeded, w=22\",\"Add (4,5)=11 Failed, w=22\",\"Add (1,2)=23 Succeeded, w=45\",\"Add (0,1)=24 Failed, w=45\",\"Add (1,3)=25 Failed, w=45\",\"Add (0,3)=40 Failed, w=45\",\"Add (2,4)=47 Failed, w=45\",\"Add (2,3)=50 Failed, w=45\",\"Add (0,2)=64 Failed, w=45\",\"Add (2,5)=65 Failed, w=45\",\"Add (0,4)=92 Failed, w=45\",\"Add (3,4)=93 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,64],[0,3,40],[0,4,92],[0,5,11],[1,2,23],[1,3,25],[1,4,2],[1,5,4],[2,3,50],[2,4,47],[2,5,65],[3,4,93],[3,5,5],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(1,5)=4,(3,5)=5,(0,5)=11,(4,5)=11,(1,2)=23,(0,1)=24,(1,3)=25,(0,3)=40,(2,4)=47,(2,3)=50,(0,2)=64,(2,5)=65,(0,4)=92,(3,4)=93]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Find(1)=1, Find(5)=5, Add (1,5)=4 Succeeded, w=6\",\"Find(3)=3, Find(5)=1, Add (3,5)=5 Succeeded, w=11\",\"Find(0)=0, Find(5)=1, Add (0,5)=11 Succeeded, w=22\",\"Find(4)=1, Find(5)=1, Add (4,5)=11 Failed, w=22\",\"Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=45\",\"Find(0)=1, Find(1)=1, Add (0,1)=24 Failed, w=45\",\"Find(1)=1, Find(3)=1, Add (1,3)=25 Failed, w=45\",\"Find(0)=1, Find(3)=1, Add (0,3)=40 Failed, w=45\",\"Find(2)=1, Find(4)=1, Add (2,4)=47 Failed, w=45\",\"Find(2)=1, Find(3)=1, Add (2,3)=50 Failed, w=45\",\"Find(0)=1, Find(2)=1, Add (0,2)=64 Failed, w=45\",\"Find(2)=1, Find(5)=1, Add (2,5)=65 Failed, w=45\",\"Find(0)=1, Find(4)=1, Add (0,4)=92 Failed, w=45\",\"Find(3)=1, Find(4)=1, Add (3,4)=93 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,64],[0,3,40],[0,4,92],[0,5,11],[1,2,23],[1,3,25],[1,4,2],[1,5,4],[2,3,50],[2,4,47],[2,5,65],[3,4,93],[3,5,5],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(1,5)=4,(3,5)=5,(0,5)=11,(4,5)=11,(1,2)=23,(0,1)=24,(1,3)=25,(0,3)=40,(2,4)=47,(2,3)=50,(0,2)=64,(2,5)=65,(0,4)=92,(3,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(3)=3, Find(5)=1, Add (3,5)=5 Succeeded, w=11\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=11 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=11 Failed, w=22\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=24 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=25 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=40 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=47 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=50 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=64 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=65 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=92 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=93 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,23],[0,2,67],[0,3,24],[0,4,13],[1,2,60],[1,3,64],[1,4,87],[2,3,72],[2,4,2],[3,4,32]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,23],[0,2,67],[0,3,24],[0,4,13],[1,2,60],[1,3,64],[1,4,87],[2,3,72],[2,4,2],[3,4,32]]}",
"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\":[[0,1,23],[0,2,67],[0,3,24],[0,4,13],[1,2,60],[1,3,64],[1,4,87],[2,3,72],[2,4,2],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,4)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,23],[0,2,67],[0,3,24],[0,4,13],[1,2,60],[1,3,64],[1,4,87],[2,3,72],[2,4,2],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2, w=2\",\"Add (0,4)=13, w=15\",\"Add (0,1)=23, w=38\",\"Add (0,3)=24, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,23],[0,2,67],[0,3,24],[0,4,13],[1,2,60],[1,3,64],[1,4,87],[2,3,72],[2,4,2],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2 Succeeded, w=2\",\"Add (0,4)=13 Succeeded, w=15\",\"Add (0,1)=23 Succeeded, w=38\",\"Add (0,3)=24 Succeeded, w=62\",\"Add (3,4)=32 Failed, w=62\",\"Add (1,2)=60 Failed, w=62\",\"Add (1,3)=64 Failed, w=62\",\"Add (0,2)=67 Failed, w=62\",\"Add (2,3)=72 Failed, w=62\",\"Add (1,4)=87 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\":[[0,1,23],[0,2,67],[0,3,24],[0,4,13],[1,2,60],[1,3,64],[1,4,87],[2,3,72],[2,4,2],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(0,4)=13,(0,1)=23,(0,3)=24,(3,4)=32,(1,2)=60,(1,3)=64,(0,2)=67,(2,3)=72,(1,4)=87]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(4)=2, Add (0,4)=13 Succeeded, w=15\",\"Find(0)=2, Find(1)=1, Add (0,1)=23 Succeeded, w=38\",\"Find(0)=2, Find(3)=3, Add (0,3)=24 Succeeded, w=62\",\"Find(3)=2, Find(4)=2, Add (3,4)=32 Failed, w=62\",\"Find(1)=2, Find(2)=2, Add (1,2)=60 Failed, w=62\",\"Find(1)=2, Find(3)=2, Add (1,3)=64 Failed, w=62\",\"Find(0)=2, Find(2)=2, Add (0,2)=67 Failed, w=62\",\"Find(2)=2, Find(3)=2, Add (2,3)=72 Failed, w=62\",\"Find(1)=2, Find(4)=2, Add (1,4)=87 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\":[[0,1,23],[0,2,67],[0,3,24],[0,4,13],[1,2,60],[1,3,64],[1,4,87],[2,3,72],[2,4,2],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(0,4)=13,(0,1)=23,(0,3)=24,(3,4)=32,(1,2)=60,(1,3)=64,(0,2)=67,(2,3)=72,(1,4)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=13 Succeeded, w=15\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2}, Find(0)=2, Find(1)=1, Add (0,1)=23 Succeeded, w=38\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=3, Add (0,3)=24 Succeeded, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=32 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=60 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=64 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=67 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=2, Add (2,3)=72 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=87 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,7],[0,3,81],[0,4,75],[0,6,80],[1,2,82],[1,3,30],[1,4,55],[2,3,3],[2,4,20],[2,5,74],[2,6,4],[3,4,12],[3,5,79],[3,6,33],[4,5,6],[4,6,82],[5,6,50]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,3,81],[0,4,75],[0,6,80],[1,2,82],[1,3,30],[1,4,55],[2,3,3],[2,4,20],[2,5,74],[2,6,4],[3,4,12],[3,5,79],[3,6,33],[4,5,6],[4,6,82],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,3,81],[0,4,75],[0,6,80],[1,2,82],[1,3,30],[1,4,55],[2,3,3],[2,4,20],[2,5,74],[2,6,4],[3,4,12],[3,5,79],[3,6,33],[4,5,6],[4,6,82],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,6)\",\"Add (4,5)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (1,3)\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,3,81],[0,4,75],[0,6,80],[1,2,82],[1,3,30],[1,4,55],[2,3,3],[2,4,20],[2,5,74],[2,6,4],[3,4,12],[3,5,79],[3,6,33],[4,5,6],[4,6,82],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3, w=3\",\"Add (2,6)=4, w=7\",\"Add (4,5)=6, w=13\",\"Add (0,1)=7, w=20\",\"Add (3,4)=12, w=32\",\"Add (1,3)=30, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,3,81],[0,4,75],[0,6,80],[1,2,82],[1,3,30],[1,4,55],[2,3,3],[2,4,20],[2,5,74],[2,6,4],[3,4,12],[3,5,79],[3,6,33],[4,5,6],[4,6,82],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3 Succeeded, w=3\",\"Add (2,6)=4 Succeeded, w=7\",\"Add (4,5)=6 Succeeded, w=13\",\"Add (0,1)=7 Succeeded, w=20\",\"Add (3,4)=12 Succeeded, w=32\",\"Add (2,4)=20 Failed, w=32\",\"Add (1,3)=30 Succeeded, w=62\",\"Add (3,6)=33 Failed, w=62\",\"Add (5,6)=50 Failed, w=62\",\"Add (1,4)=55 Failed, w=62\",\"Add (2,5)=74 Failed, w=62\",\"Add (0,4)=75 Failed, w=62\",\"Add (3,5)=79 Failed, w=62\",\"Add (0,6)=80 Failed, w=62\",\"Add (0,3)=81 Failed, w=62\",\"Add (1,2)=82 Failed, w=62\",\"Add (4,6)=82 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,3,81],[0,4,75],[0,6,80],[1,2,82],[1,3,30],[1,4,55],[2,3,3],[2,4,20],[2,5,74],[2,6,4],[3,4,12],[3,5,79],[3,6,33],[4,5,6],[4,6,82],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(2,6)=4,(4,5)=6,(0,1)=7,(3,4)=12,(2,4)=20,(1,3)=30,(3,6)=33,(5,6)=50,(1,4)=55,(2,5)=74,(0,4)=75,(3,5)=79,(0,6)=80,(0,3)=81,(1,2)=82,(4,6)=82]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Find(2)=2, Find(6)=6, Add (2,6)=4 Succeeded, w=7\",\"Find(4)=4, Find(5)=5, Add (4,5)=6 Succeeded, w=13\",\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=20\",\"Find(3)=2, Find(4)=4, Add (3,4)=12 Succeeded, w=32\",\"Find(2)=2, Find(4)=2, Add (2,4)=20 Failed, w=32\",\"Find(1)=0, Find(3)=2, Add (1,3)=30 Succeeded, w=62\",\"Find(3)=2, Find(6)=2, Add (3,6)=33 Failed, w=62\",\"Find(5)=2, Find(6)=2, Add (5,6)=50 Failed, w=62\",\"Find(1)=2, Find(4)=2, Add (1,4)=55 Failed, w=62\",\"Find(2)=2, Find(5)=2, Add (2,5)=74 Failed, w=62\",\"Find(0)=2, Find(4)=2, Add (0,4)=75 Failed, w=62\",\"Find(3)=2, Find(5)=2, Add (3,5)=79 Failed, w=62\",\"Find(0)=2, Find(6)=2, Add (0,6)=80 Failed, w=62\",\"Find(0)=2, Find(3)=2, Add (0,3)=81 Failed, w=62\",\"Find(1)=2, Find(2)=2, Add (1,2)=82 Failed, w=62\",\"Find(4)=2, Find(6)=2, Add (4,6)=82 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,3,81],[0,4,75],[0,6,80],[1,2,82],[1,3,30],[1,4,55],[2,3,3],[2,4,20],[2,5,74],[2,6,4],[3,4,12],[3,5,79],[3,6,33],[4,5,6],[4,6,82],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(2,6)=4,(4,5)=6,(0,1)=7,(3,4)=12,(2,4)=20,(1,3)=30,(3,6)=33,(5,6)=50,(1,4)=55,(2,5)=74,(0,4)=75,(3,5)=79,(0,6)=80,(0,3)=81,(1,2)=82,(4,6)=82]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4, 6: 2}, Find(4)=4, Find(5)=5, Add (4,5)=6 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 4, 6: 2}, Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2}, Find(3)=2, Find(4)=4, Add (3,4)=12 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=20 Failed, w=32\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2}, Find(1)=0, Find(3)=2, Add (1,3)=30 Succeeded, w=62\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=33 Failed, w=62\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=50 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=55 Failed, w=62\",\"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=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=75 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=79 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=80 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=81 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=82 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=82 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,82],[0,4,58],[0,6,18],[1,2,60],[1,6,48],[1,7,6],[2,4,82],[2,5,98],[3,4,12],[3,5,13],[3,6,37],[3,7,68],[4,6,83],[5,6,73],[6,7,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,82],[0,4,58],[0,6,18],[1,2,60],[1,6,48],[1,7,6],[2,4,82],[2,5,98],[3,4,12],[3,5,13],[3,6,37],[3,7,68],[4,6,83],[5,6,73],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,82],[0,4,58],[0,6,18],[1,2,60],[1,6,48],[1,7,6],[2,4,82],[2,5,98],[3,4,12],[3,5,13],[3,6,37],[3,7,68],[4,6,83],[5,6,73],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (3,4)\",\"Add (3,5)\",\"Add (6,7)\",\"Add (0,6)\",\"Add (3,6)\",\"Add (1,2)\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,82],[0,4,58],[0,6,18],[1,2,60],[1,6,48],[1,7,6],[2,4,82],[2,5,98],[3,4,12],[3,5,13],[3,6,37],[3,7,68],[4,6,83],[5,6,73],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=6, w=6\",\"Add (3,4)=12, w=18\",\"Add (3,5)=13, w=31\",\"Add (6,7)=16, w=47\",\"Add (0,6)=18, w=65\",\"Add (3,6)=37, w=102\",\"Add (1,2)=60, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,82],[0,4,58],[0,6,18],[1,2,60],[1,6,48],[1,7,6],[2,4,82],[2,5,98],[3,4,12],[3,5,13],[3,6,37],[3,7,68],[4,6,83],[5,6,73],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=6 Succeeded, w=6\",\"Add (3,4)=12 Succeeded, w=18\",\"Add (3,5)=13 Succeeded, w=31\",\"Add (6,7)=16 Succeeded, w=47\",\"Add (0,6)=18 Succeeded, w=65\",\"Add (3,6)=37 Succeeded, w=102\",\"Add (1,6)=48 Failed, w=102\",\"Add (0,4)=58 Failed, w=102\",\"Add (1,2)=60 Succeeded, w=162\",\"Add (3,7)=68 Failed, w=162\",\"Add (5,6)=73 Failed, w=162\",\"Add (0,3)=82 Failed, w=162\",\"Add (2,4)=82 Failed, w=162\",\"Add (4,6)=83 Failed, w=162\",\"Add (2,5)=98 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,82],[0,4,58],[0,6,18],[1,2,60],[1,6,48],[1,7,6],[2,4,82],[2,5,98],[3,4,12],[3,5,13],[3,6,37],[3,7,68],[4,6,83],[5,6,73],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=6,(3,4)=12,(3,5)=13,(6,7)=16,(0,6)=18,(3,6)=37,(1,6)=48,(0,4)=58,(1,2)=60,(3,7)=68,(5,6)=73,(0,3)=82,(2,4)=82,(4,6)=83,(2,5)=98]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=6 Succeeded, w=6\",\"Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=18\",\"Find(3)=3, Find(5)=5, Add (3,5)=13 Succeeded, w=31\",\"Find(6)=6, Find(7)=1, Add (6,7)=16 Succeeded, w=47\",\"Find(0)=0, Find(6)=1, Add (0,6)=18 Succeeded, w=65\",\"Find(3)=3, Find(6)=1, Add (3,6)=37 Succeeded, w=102\",\"Find(1)=3, Find(6)=3, Add (1,6)=48 Failed, w=102\",\"Find(0)=3, Find(4)=3, Add (0,4)=58 Failed, w=102\",\"Find(1)=3, Find(2)=2, Add (1,2)=60 Succeeded, w=162\",\"Find(3)=3, Find(7)=3, Add (3,7)=68 Failed, w=162\",\"Find(5)=3, Find(6)=3, Add (5,6)=73 Failed, w=162\",\"Find(0)=3, Find(3)=3, Add (0,3)=82 Failed, w=162\",\"Find(2)=3, Find(4)=3, Add (2,4)=82 Failed, w=162\",\"Find(4)=3, Find(6)=3, Add (4,6)=83 Failed, w=162\",\"Find(2)=3, Find(5)=3, Add (2,5)=98 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,82],[0,4,58],[0,6,18],[1,2,60],[1,6,48],[1,7,6],[2,4,82],[2,5,98],[3,4,12],[3,5,13],[3,6,37],[3,7,68],[4,6,83],[5,6,73],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=6,(3,4)=12,(3,5)=13,(6,7)=16,(0,6)=18,(3,6)=37,(1,6)=48,(0,4)=58,(1,2)=60,(3,7)=68,(5,6)=73,(0,3)=82,(2,4)=82,(4,6)=83,(2,5)=98]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 1}, Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6, 7: 1}, Find(3)=3, Find(5)=5, Add (3,5)=13 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 1, 7: 1}, Find(6)=6, Find(7)=1, Add (6,7)=16 Succeeded, w=47\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 1, 7: 1}, Find(0)=0, Find(6)=1, Add (0,6)=18 Succeeded, w=65\",\"Parent: {0: 1, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 1, 7: 1}, Find(3)=3, Find(6)=1, Add (3,6)=37 Succeeded, w=102\",\"Parent: {0: 1, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3, 7: 1}, Find(1)=3, Find(6)=3, Add (1,6)=48 Failed, w=102\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3, 7: 1}, Find(0)=3, Find(4)=3, Add (0,4)=58 Failed, w=102\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 1}, Find(1)=3, Find(2)=2, Add (1,2)=60 Succeeded, w=162\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=68 Failed, w=162\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=3, Add (5,6)=73 Failed, w=162\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=82 Failed, w=162\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=82 Failed, w=162\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=83 Failed, w=162\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(5)=3, Add (2,5)=98 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,29],[0,4,89],[0,5,46],[0,6,29],[0,7,65],[1,2,86],[1,3,7],[1,4,64],[1,5,78],[1,6,71],[1,7,59],[2,3,49],[2,7,13],[3,4,40],[3,5,28],[4,5,31],[4,7,71],[5,6,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,29],[0,4,89],[0,5,46],[0,6,29],[0,7,65],[1,2,86],[1,3,7],[1,4,64],[1,5,78],[1,6,71],[1,7,59],[2,3,49],[2,7,13],[3,4,40],[3,5,28],[4,5,31],[4,7,71],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,29],[0,4,89],[0,5,46],[0,6,29],[0,7,65],[1,2,86],[1,3,7],[1,4,64],[1,5,78],[1,6,71],[1,7,59],[2,3,49],[2,7,13],[3,4,40],[3,5,28],[4,5,31],[4,7,71],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,7)\",\"Add (5,6)\",\"Add (3,5)\",\"Add (0,2)\",\"Add (0,6)\",\"Add (4,5)\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,29],[0,4,89],[0,5,46],[0,6,29],[0,7,65],[1,2,86],[1,3,7],[1,4,64],[1,5,78],[1,6,71],[1,7,59],[2,3,49],[2,7,13],[3,4,40],[3,5,28],[4,5,31],[4,7,71],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=7, w=7\",\"Add (2,7)=13, w=20\",\"Add (5,6)=27, w=47\",\"Add (3,5)=28, w=75\",\"Add (0,2)=29, w=104\",\"Add (0,6)=29, w=133\",\"Add (4,5)=31, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,29],[0,4,89],[0,5,46],[0,6,29],[0,7,65],[1,2,86],[1,3,7],[1,4,64],[1,5,78],[1,6,71],[1,7,59],[2,3,49],[2,7,13],[3,4,40],[3,5,28],[4,5,31],[4,7,71],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=7 Succeeded, w=7\",\"Add (2,7)=13 Succeeded, w=20\",\"Add (5,6)=27 Succeeded, w=47\",\"Add (3,5)=28 Succeeded, w=75\",\"Add (0,2)=29 Succeeded, w=104\",\"Add (0,6)=29 Succeeded, w=133\",\"Add (4,5)=31 Succeeded, w=164\",\"Add (3,4)=40 Failed, w=164\",\"Add (0,5)=46 Failed, w=164\",\"Add (2,3)=49 Failed, w=164\",\"Add (1,7)=59 Failed, w=164\",\"Add (1,4)=64 Failed, w=164\",\"Add (0,7)=65 Failed, w=164\",\"Add (1,6)=71 Failed, w=164\",\"Add (4,7)=71 Failed, w=164\",\"Add (1,5)=78 Failed, w=164\",\"Add (1,2)=86 Failed, w=164\",\"Add (0,4)=89 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,29],[0,4,89],[0,5,46],[0,6,29],[0,7,65],[1,2,86],[1,3,7],[1,4,64],[1,5,78],[1,6,71],[1,7,59],[2,3,49],[2,7,13],[3,4,40],[3,5,28],[4,5,31],[4,7,71],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=7,(2,7)=13,(5,6)=27,(3,5)=28,(0,2)=29,(0,6)=29,(4,5)=31,(3,4)=40,(0,5)=46,(2,3)=49,(1,7)=59,(1,4)=64,(0,7)=65,(1,6)=71,(4,7)=71,(1,5)=78,(1,2)=86,(0,4)=89]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=7\",\"Find(2)=2, Find(7)=7, Add (2,7)=13 Succeeded, w=20\",\"Find(5)=5, Find(6)=6, Add (5,6)=27 Succeeded, w=47\",\"Find(3)=1, Find(5)=5, Add (3,5)=28 Succeeded, w=75\",\"Find(0)=0, Find(2)=2, Add (0,2)=29 Succeeded, w=104\",\"Find(0)=2, Find(6)=1, Add (0,6)=29 Succeeded, w=133\",\"Find(4)=4, Find(5)=1, Add (4,5)=31 Succeeded, w=164\",\"Find(3)=1, Find(4)=1, Add (3,4)=40 Failed, w=164\",\"Find(0)=1, Find(5)=1, Add (0,5)=46 Failed, w=164\",\"Find(2)=1, Find(3)=1, Add (2,3)=49 Failed, w=164\",\"Find(1)=1, Find(7)=1, Add (1,7)=59 Failed, w=164\",\"Find(1)=1, Find(4)=1, Add (1,4)=64 Failed, w=164\",\"Find(0)=1, Find(7)=1, Add (0,7)=65 Failed, w=164\",\"Find(1)=1, Find(6)=1, Add (1,6)=71 Failed, w=164\",\"Find(4)=1, Find(7)=1, Add (4,7)=71 Failed, w=164\",\"Find(1)=1, Find(5)=1, Add (1,5)=78 Failed, w=164\",\"Find(1)=1, Find(2)=1, Add (1,2)=86 Failed, w=164\",\"Find(0)=1, Find(4)=1, Add (0,4)=89 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,29],[0,4,89],[0,5,46],[0,6,29],[0,7,65],[1,2,86],[1,3,7],[1,4,64],[1,5,78],[1,6,71],[1,7,59],[2,3,49],[2,7,13],[3,4,40],[3,5,28],[4,5,31],[4,7,71],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=7,(2,7)=13,(5,6)=27,(3,5)=28,(0,2)=29,(0,6)=29,(4,5)=31,(3,4)=40,(0,5)=46,(2,3)=49,(1,7)=59,(1,4)=64,(0,7)=65,(1,6)=71,(4,7)=71,(1,5)=78,(1,2)=86,(0,4)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=13 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 5, 7: 2}, Find(5)=5, Find(6)=6, Add (5,6)=27 Succeeded, w=47\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 5, 7: 2}, Find(3)=1, Find(5)=5, Add (3,5)=28 Succeeded, w=75\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 5, 7: 2}, Find(0)=0, Find(2)=2, Add (0,2)=29 Succeeded, w=104\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 2}, Find(0)=2, Find(6)=1, Add (0,6)=29 Succeeded, w=133\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(4)=4, Find(5)=1, Add (4,5)=31 Succeeded, w=164\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(3)=1, Find(4)=1, Add (3,4)=40 Failed, w=164\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(0)=1, Find(5)=1, Add (0,5)=46 Failed, w=164\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(2)=1, Find(3)=1, Add (2,3)=49 Failed, w=164\",\"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)=59 Failed, w=164\",\"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)=64 Failed, w=164\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=65 Failed, w=164\",\"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)=71 Failed, w=164\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=71 Failed, w=164\",\"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)=78 Failed, w=164\",\"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)=86 Failed, w=164\",\"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)=89 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,42],[0,2,10],[0,3,15],[0,4,46],[1,2,43],[1,3,2],[1,4,53],[2,3,58],[2,4,70],[3,4,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,2,10],[0,3,15],[0,4,46],[1,2,43],[1,3,2],[1,4,53],[2,3,58],[2,4,70],[3,4,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,2,10],[0,3,15],[0,4,46],[1,2,43],[1,3,2],[1,4,53],[2,3,58],[2,4,70],[3,4,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (3,4)\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,2,10],[0,3,15],[0,4,46],[1,2,43],[1,3,2],[1,4,53],[2,3,58],[2,4,70],[3,4,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (0,2)=10, w=12\",\"Add (0,3)=15, w=27\",\"Add (3,4)=44, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,2,10],[0,3,15],[0,4,46],[1,2,43],[1,3,2],[1,4,53],[2,3,58],[2,4,70],[3,4,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (0,2)=10 Succeeded, w=12\",\"Add (0,3)=15 Succeeded, w=27\",\"Add (0,1)=42 Failed, w=27\",\"Add (1,2)=43 Failed, w=27\",\"Add (3,4)=44 Succeeded, w=71\",\"Add (0,4)=46 Failed, w=71\",\"Add (1,4)=53 Failed, w=71\",\"Add (2,3)=58 Failed, w=71\",\"Add (2,4)=70 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,2,10],[0,3,15],[0,4,46],[1,2,43],[1,3,2],[1,4,53],[2,3,58],[2,4,70],[3,4,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(0,2)=10,(0,3)=15,(0,1)=42,(1,2)=43,(3,4)=44,(0,4)=46,(1,4)=53,(2,3)=58,(2,4)=70]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=12\",\"Find(0)=0, Find(3)=1, Add (0,3)=15 Succeeded, w=27\",\"Find(0)=0, Find(1)=0, Add (0,1)=42 Failed, w=27\",\"Find(1)=0, Find(2)=0, Add (1,2)=43 Failed, w=27\",\"Find(3)=0, Find(4)=4, Add (3,4)=44 Succeeded, w=71\",\"Find(0)=0, Find(4)=0, Add (0,4)=46 Failed, w=71\",\"Find(1)=0, Find(4)=0, Add (1,4)=53 Failed, w=71\",\"Find(2)=0, Find(3)=0, Add (2,3)=58 Failed, w=71\",\"Find(2)=0, Find(4)=0, Add (2,4)=70 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,2,10],[0,3,15],[0,4,46],[1,2,43],[1,3,2],[1,4,53],[2,3,58],[2,4,70],[3,4,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(0,2)=10,(0,3)=15,(0,1)=42,(1,2)=43,(3,4)=44,(0,4)=46,(1,4)=53,(2,3)=58,(2,4)=70]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 4}, Find(0)=0, Find(3)=1, Add (0,3)=15 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 4}, Find(0)=0, Find(1)=0, Add (0,1)=42 Failed, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 4}, Find(1)=0, Find(2)=0, Add (1,2)=43 Failed, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=44 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=46 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=53 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=58 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=70 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,36],[0,2,10],[0,3,50],[0,4,71],[0,5,37],[0,6,58],[1,2,39],[1,3,52],[1,5,8],[2,3,39],[2,4,22],[2,5,98],[2,6,87],[3,4,50],[3,5,76],[4,5,73],[4,6,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,36],[0,2,10],[0,3,50],[0,4,71],[0,5,37],[0,6,58],[1,2,39],[1,3,52],[1,5,8],[2,3,39],[2,4,22],[2,5,98],[2,6,87],[3,4,50],[3,5,76],[4,5,73],[4,6,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,36],[0,2,10],[0,3,50],[0,4,71],[0,5,37],[0,6,58],[1,2,39],[1,3,52],[1,5,8],[2,3,39],[2,4,22],[2,5,98],[2,6,87],[3,4,50],[3,5,76],[4,5,73],[4,6,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,2)\",\"Add (2,4)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (4,6)\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,36],[0,2,10],[0,3,50],[0,4,71],[0,5,37],[0,6,58],[1,2,39],[1,3,52],[1,5,8],[2,3,39],[2,4,22],[2,5,98],[2,6,87],[3,4,50],[3,5,76],[4,5,73],[4,6,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=8, w=8\",\"Add (0,2)=10, w=18\",\"Add (2,4)=22, w=40\",\"Add (0,1)=36, w=76\",\"Add (2,3)=39, w=115\",\"Add (4,6)=53, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,36],[0,2,10],[0,3,50],[0,4,71],[0,5,37],[0,6,58],[1,2,39],[1,3,52],[1,5,8],[2,3,39],[2,4,22],[2,5,98],[2,6,87],[3,4,50],[3,5,76],[4,5,73],[4,6,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=8 Succeeded, w=8\",\"Add (0,2)=10 Succeeded, w=18\",\"Add (2,4)=22 Succeeded, w=40\",\"Add (0,1)=36 Succeeded, w=76\",\"Add (0,5)=37 Failed, w=76\",\"Add (1,2)=39 Failed, w=76\",\"Add (2,3)=39 Succeeded, w=115\",\"Add (0,3)=50 Failed, w=115\",\"Add (3,4)=50 Failed, w=115\",\"Add (1,3)=52 Failed, w=115\",\"Add (4,6)=53 Succeeded, w=168\",\"Add (0,6)=58 Failed, w=168\",\"Add (0,4)=71 Failed, w=168\",\"Add (4,5)=73 Failed, w=168\",\"Add (3,5)=76 Failed, w=168\",\"Add (2,6)=87 Failed, w=168\",\"Add (2,5)=98 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,36],[0,2,10],[0,3,50],[0,4,71],[0,5,37],[0,6,58],[1,2,39],[1,3,52],[1,5,8],[2,3,39],[2,4,22],[2,5,98],[2,6,87],[3,4,50],[3,5,76],[4,5,73],[4,6,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=8,(0,2)=10,(2,4)=22,(0,1)=36,(0,5)=37,(1,2)=39,(2,3)=39,(0,3)=50,(3,4)=50,(1,3)=52,(4,6)=53,(0,6)=58,(0,4)=71,(4,5)=73,(3,5)=76,(2,6)=87,(2,5)=98]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=8 Succeeded, w=8\",\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=18\",\"Find(2)=0, Find(4)=4, Add (2,4)=22 Succeeded, w=40\",\"Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=76\",\"Find(0)=0, Find(5)=0, Add (0,5)=37 Failed, w=76\",\"Find(1)=0, Find(2)=0, Add (1,2)=39 Failed, w=76\",\"Find(2)=0, Find(3)=3, Add (2,3)=39 Succeeded, w=115\",\"Find(0)=0, Find(3)=0, Add (0,3)=50 Failed, w=115\",\"Find(3)=0, Find(4)=0, Add (3,4)=50 Failed, w=115\",\"Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=115\",\"Find(4)=0, Find(6)=6, Add (4,6)=53 Succeeded, w=168\",\"Find(0)=0, Find(6)=0, Add (0,6)=58 Failed, w=168\",\"Find(0)=0, Find(4)=0, Add (0,4)=71 Failed, w=168\",\"Find(4)=0, Find(5)=0, Add (4,5)=73 Failed, w=168\",\"Find(3)=0, Find(5)=0, Add (3,5)=76 Failed, w=168\",\"Find(2)=0, Find(6)=0, Add (2,6)=87 Failed, w=168\",\"Find(2)=0, Find(5)=0, Add (2,5)=98 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,36],[0,2,10],[0,3,50],[0,4,71],[0,5,37],[0,6,58],[1,2,39],[1,3,52],[1,5,8],[2,3,39],[2,4,22],[2,5,98],[2,6,87],[3,4,50],[3,5,76],[4,5,73],[4,6,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=8,(0,2)=10,(2,4)=22,(0,1)=36,(0,5)=37,(1,2)=39,(2,3)=39,(0,3)=50,(3,4)=50,(1,3)=52,(4,6)=53,(0,6)=58,(0,4)=71,(4,5)=73,(3,5)=76,(2,6)=87,(2,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 1, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 1, 6: 6}, Find(2)=0, Find(4)=4, Add (2,4)=22 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 1, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(5)=0, Add (0,5)=37 Failed, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6}, Find(1)=0, Find(2)=0, Add (1,2)=39 Failed, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(2)=0, Find(3)=3, Add (2,3)=39 Succeeded, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(3)=0, Add (0,3)=50 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(3)=0, Find(4)=0, Add (3,4)=50 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=6, Add (4,6)=53 Succeeded, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=58 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=71 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=73 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=76 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=87 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=98 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,62],[0,2,72],[0,4,92],[0,5,27],[1,2,41],[1,3,98],[1,5,83],[2,3,90],[2,4,15],[2,5,75],[3,4,1],[3,5,90],[4,5,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,2,72],[0,4,92],[0,5,27],[1,2,41],[1,3,98],[1,5,83],[2,3,90],[2,4,15],[2,5,75],[3,4,1],[3,5,90],[4,5,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,2,72],[0,4,92],[0,5,27],[1,2,41],[1,3,98],[1,5,83],[2,3,90],[2,4,15],[2,5,75],[3,4,1],[3,5,90],[4,5,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,4)\",\"Add (4,5)\",\"Add (0,5)\",\"Add (1,2)\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,2,72],[0,4,92],[0,5,27],[1,2,41],[1,3,98],[1,5,83],[2,3,90],[2,4,15],[2,5,75],[3,4,1],[3,5,90],[4,5,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1, w=1\",\"Add (2,4)=15, w=16\",\"Add (4,5)=19, w=35\",\"Add (0,5)=27, w=62\",\"Add (1,2)=41, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,2,72],[0,4,92],[0,5,27],[1,2,41],[1,3,98],[1,5,83],[2,3,90],[2,4,15],[2,5,75],[3,4,1],[3,5,90],[4,5,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1 Succeeded, w=1\",\"Add (2,4)=15 Succeeded, w=16\",\"Add (4,5)=19 Succeeded, w=35\",\"Add (0,5)=27 Succeeded, w=62\",\"Add (1,2)=41 Succeeded, w=103\",\"Add (0,1)=62 Failed, w=103\",\"Add (0,2)=72 Failed, w=103\",\"Add (2,5)=75 Failed, w=103\",\"Add (1,5)=83 Failed, w=103\",\"Add (2,3)=90 Failed, w=103\",\"Add (3,5)=90 Failed, w=103\",\"Add (0,4)=92 Failed, w=103\",\"Add (1,3)=98 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,2,72],[0,4,92],[0,5,27],[1,2,41],[1,3,98],[1,5,83],[2,3,90],[2,4,15],[2,5,75],[3,4,1],[3,5,90],[4,5,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(2,4)=15,(4,5)=19,(0,5)=27,(1,2)=41,(0,1)=62,(0,2)=72,(2,5)=75,(1,5)=83,(2,3)=90,(3,5)=90,(0,4)=92,(1,3)=98]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Find(2)=2, Find(4)=3, Add (2,4)=15 Succeeded, w=16\",\"Find(4)=3, Find(5)=5, Add (4,5)=19 Succeeded, w=35\",\"Find(0)=0, Find(5)=3, Add (0,5)=27 Succeeded, w=62\",\"Find(1)=1, Find(2)=3, Add (1,2)=41 Succeeded, w=103\",\"Find(0)=3, Find(1)=3, Add (0,1)=62 Failed, w=103\",\"Find(0)=3, Find(2)=3, Add (0,2)=72 Failed, w=103\",\"Find(2)=3, Find(5)=3, Add (2,5)=75 Failed, w=103\",\"Find(1)=3, Find(5)=3, Add (1,5)=83 Failed, w=103\",\"Find(2)=3, Find(3)=3, Add (2,3)=90 Failed, w=103\",\"Find(3)=3, Find(5)=3, Add (3,5)=90 Failed, w=103\",\"Find(0)=3, Find(4)=3, Add (0,4)=92 Failed, w=103\",\"Find(1)=3, Find(3)=3, Add (1,3)=98 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,2,72],[0,4,92],[0,5,27],[1,2,41],[1,3,98],[1,5,83],[2,3,90],[2,4,15],[2,5,75],[3,4,1],[3,5,90],[4,5,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(2,4)=15,(4,5)=19,(0,5)=27,(1,2)=41,(0,1)=62,(0,2)=72,(2,5)=75,(1,5)=83,(2,3)=90,(3,5)=90,(0,4)=92,(1,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5}, Find(2)=2, Find(4)=3, Add (2,4)=15 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=5, Add (4,5)=19 Succeeded, w=35\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=0, Find(5)=3, Add (0,5)=27 Succeeded, w=62\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=1, Find(2)=3, Add (1,2)=41 Succeeded, w=103\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(1)=3, Add (0,1)=62 Failed, w=103\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=72 Failed, w=103\",\"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=103\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=83 Failed, w=103\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(3)=3, Add (2,3)=90 Failed, w=103\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=3, Add (3,5)=90 Failed, w=103\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=92 Failed, w=103\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(3)=3, Add (1,3)=98 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,3],[0,2,82],[0,3,48],[0,4,64],[0,5,91],[0,6,8],[1,2,88],[1,3,34],[1,4,51],[1,5,53],[1,6,42],[2,3,31],[2,4,8],[2,5,47],[2,6,16],[3,4,77],[3,5,98],[3,6,59],[4,5,8],[4,6,65],[5,6,65]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,82],[0,3,48],[0,4,64],[0,5,91],[0,6,8],[1,2,88],[1,3,34],[1,4,51],[1,5,53],[1,6,42],[2,3,31],[2,4,8],[2,5,47],[2,6,16],[3,4,77],[3,5,98],[3,6,59],[4,5,8],[4,6,65],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,82],[0,3,48],[0,4,64],[0,5,91],[0,6,8],[1,2,88],[1,3,34],[1,4,51],[1,5,53],[1,6,42],[2,3,31],[2,4,8],[2,5,47],[2,6,16],[3,4,77],[3,5,98],[3,6,59],[4,5,8],[4,6,65],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,6)\",\"Add (2,4)\",\"Add (4,5)\",\"Add (2,6)\",\"Add (2,3)\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,82],[0,3,48],[0,4,64],[0,5,91],[0,6,8],[1,2,88],[1,3,34],[1,4,51],[1,5,53],[1,6,42],[2,3,31],[2,4,8],[2,5,47],[2,6,16],[3,4,77],[3,5,98],[3,6,59],[4,5,8],[4,6,65],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3, w=3\",\"Add (0,6)=8, w=11\",\"Add (2,4)=8, w=19\",\"Add (4,5)=8, w=27\",\"Add (2,6)=16, w=43\",\"Add (2,3)=31, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,82],[0,3,48],[0,4,64],[0,5,91],[0,6,8],[1,2,88],[1,3,34],[1,4,51],[1,5,53],[1,6,42],[2,3,31],[2,4,8],[2,5,47],[2,6,16],[3,4,77],[3,5,98],[3,6,59],[4,5,8],[4,6,65],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3 Succeeded, w=3\",\"Add (0,6)=8 Succeeded, w=11\",\"Add (2,4)=8 Succeeded, w=19\",\"Add (4,5)=8 Succeeded, w=27\",\"Add (2,6)=16 Succeeded, w=43\",\"Add (2,3)=31 Succeeded, w=74\",\"Add (1,3)=34 Failed, w=74\",\"Add (1,6)=42 Failed, w=74\",\"Add (2,5)=47 Failed, w=74\",\"Add (0,3)=48 Failed, w=74\",\"Add (1,4)=51 Failed, w=74\",\"Add (1,5)=53 Failed, w=74\",\"Add (3,6)=59 Failed, w=74\",\"Add (0,4)=64 Failed, w=74\",\"Add (4,6)=65 Failed, w=74\",\"Add (5,6)=65 Failed, w=74\",\"Add (3,4)=77 Failed, w=74\",\"Add (0,2)=82 Failed, w=74\",\"Add (1,2)=88 Failed, w=74\",\"Add (0,5)=91 Failed, w=74\",\"Add (3,5)=98 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,82],[0,3,48],[0,4,64],[0,5,91],[0,6,8],[1,2,88],[1,3,34],[1,4,51],[1,5,53],[1,6,42],[2,3,31],[2,4,8],[2,5,47],[2,6,16],[3,4,77],[3,5,98],[3,6,59],[4,5,8],[4,6,65],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(0,6)=8,(2,4)=8,(4,5)=8,(2,6)=16,(2,3)=31,(1,3)=34,(1,6)=42,(2,5)=47,(0,3)=48,(1,4)=51,(1,5)=53,(3,6)=59,(0,4)=64,(4,6)=65,(5,6)=65,(3,4)=77,(0,2)=82,(1,2)=88,(0,5)=91,(3,5)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(0)=0, Find(6)=6, Add (0,6)=8 Succeeded, w=11\",\"Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=19\",\"Find(4)=2, Find(5)=5, Add (4,5)=8 Succeeded, w=27\",\"Find(2)=2, Find(6)=0, Add (2,6)=16 Succeeded, w=43\",\"Find(2)=2, Find(3)=3, Add (2,3)=31 Succeeded, w=74\",\"Find(1)=2, Find(3)=2, Add (1,3)=34 Failed, w=74\",\"Find(1)=2, Find(6)=2, Add (1,6)=42 Failed, w=74\",\"Find(2)=2, Find(5)=2, Add (2,5)=47 Failed, w=74\",\"Find(0)=2, Find(3)=2, Add (0,3)=48 Failed, w=74\",\"Find(1)=2, Find(4)=2, Add (1,4)=51 Failed, w=74\",\"Find(1)=2, Find(5)=2, Add (1,5)=53 Failed, w=74\",\"Find(3)=2, Find(6)=2, Add (3,6)=59 Failed, w=74\",\"Find(0)=2, Find(4)=2, Add (0,4)=64 Failed, w=74\",\"Find(4)=2, Find(6)=2, Add (4,6)=65 Failed, w=74\",\"Find(5)=2, Find(6)=2, Add (5,6)=65 Failed, w=74\",\"Find(3)=2, Find(4)=2, Add (3,4)=77 Failed, w=74\",\"Find(0)=2, Find(2)=2, Add (0,2)=82 Failed, w=74\",\"Find(1)=2, Find(2)=2, Add (1,2)=88 Failed, w=74\",\"Find(0)=2, Find(5)=2, Add (0,5)=91 Failed, w=74\",\"Find(3)=2, Find(5)=2, Add (3,5)=98 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,82],[0,3,48],[0,4,64],[0,5,91],[0,6,8],[1,2,88],[1,3,34],[1,4,51],[1,5,53],[1,6,42],[2,3,31],[2,4,8],[2,5,47],[2,6,16],[3,4,77],[3,5,98],[3,6,59],[4,5,8],[4,6,65],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(0,6)=8,(2,4)=8,(4,5)=8,(2,6)=16,(2,3)=31,(1,3)=34,(1,6)=42,(2,5)=47,(0,3)=48,(1,4)=51,(1,5)=53,(3,6)=59,(0,4)=64,(4,6)=65,(5,6)=65,(3,4)=77,(0,2)=82,(1,2)=88,(0,5)=91,(3,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=8 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 0}, Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 2, 6: 0}, Find(4)=2, Find(5)=5, Add (4,5)=8 Succeeded, w=27\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 3, 4: 2, 5: 2, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=16 Succeeded, w=43\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0}, Find(2)=2, Find(3)=3, Add (2,3)=31 Succeeded, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0}, Find(1)=2, Find(3)=2, Add (1,3)=34 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=42 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=47 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=48 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=51 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=53 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=59 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=64 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=65 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=65 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=77 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=82 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=88 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=91 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=98 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,56],[0,2,26],[0,3,11],[0,4,17],[0,5,60],[0,6,94],[1,2,73],[1,3,96],[1,4,58],[1,6,23],[2,4,31],[2,6,81],[3,4,57],[3,6,8],[4,6,82],[5,6,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,2,26],[0,3,11],[0,4,17],[0,5,60],[0,6,94],[1,2,73],[1,3,96],[1,4,58],[1,6,23],[2,4,31],[2,6,81],[3,4,57],[3,6,8],[4,6,82],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,2,26],[0,3,11],[0,4,17],[0,5,60],[0,6,94],[1,2,73],[1,3,96],[1,4,58],[1,6,23],[2,4,31],[2,6,81],[3,4,57],[3,6,8],[4,6,82],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (0,3)\",\"Add (0,4)\",\"Add (1,6)\",\"Add (0,2)\",\"Add (5,6)\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,2,26],[0,3,11],[0,4,17],[0,5,60],[0,6,94],[1,2,73],[1,3,96],[1,4,58],[1,6,23],[2,4,31],[2,6,81],[3,4,57],[3,6,8],[4,6,82],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=8, w=8\",\"Add (0,3)=11, w=19\",\"Add (0,4)=17, w=36\",\"Add (1,6)=23, w=59\",\"Add (0,2)=26, w=85\",\"Add (5,6)=48, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,2,26],[0,3,11],[0,4,17],[0,5,60],[0,6,94],[1,2,73],[1,3,96],[1,4,58],[1,6,23],[2,4,31],[2,6,81],[3,4,57],[3,6,8],[4,6,82],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=8 Succeeded, w=8\",\"Add (0,3)=11 Succeeded, w=19\",\"Add (0,4)=17 Succeeded, w=36\",\"Add (1,6)=23 Succeeded, w=59\",\"Add (0,2)=26 Succeeded, w=85\",\"Add (2,4)=31 Failed, w=85\",\"Add (5,6)=48 Succeeded, w=133\",\"Add (0,1)=56 Failed, w=133\",\"Add (3,4)=57 Failed, w=133\",\"Add (1,4)=58 Failed, w=133\",\"Add (0,5)=60 Failed, w=133\",\"Add (1,2)=73 Failed, w=133\",\"Add (2,6)=81 Failed, w=133\",\"Add (4,6)=82 Failed, w=133\",\"Add (0,6)=94 Failed, w=133\",\"Add (1,3)=96 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,2,26],[0,3,11],[0,4,17],[0,5,60],[0,6,94],[1,2,73],[1,3,96],[1,4,58],[1,6,23],[2,4,31],[2,6,81],[3,4,57],[3,6,8],[4,6,82],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=8,(0,3)=11,(0,4)=17,(1,6)=23,(0,2)=26,(2,4)=31,(5,6)=48,(0,1)=56,(3,4)=57,(1,4)=58,(0,5)=60,(1,2)=73,(2,6)=81,(4,6)=82,(0,6)=94,(1,3)=96]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=8 Succeeded, w=8\",\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=19\",\"Find(0)=3, Find(4)=4, Add (0,4)=17 Succeeded, w=36\",\"Find(1)=1, Find(6)=3, Add (1,6)=23 Succeeded, w=59\",\"Find(0)=3, Find(2)=2, Add (0,2)=26 Succeeded, w=85\",\"Find(2)=3, Find(4)=3, Add (2,4)=31 Failed, w=85\",\"Find(5)=5, Find(6)=3, Add (5,6)=48 Succeeded, w=133\",\"Find(0)=3, Find(1)=3, Add (0,1)=56 Failed, w=133\",\"Find(3)=3, Find(4)=3, Add (3,4)=57 Failed, w=133\",\"Find(1)=3, Find(4)=3, Add (1,4)=58 Failed, w=133\",\"Find(0)=3, Find(5)=3, Add (0,5)=60 Failed, w=133\",\"Find(1)=3, Find(2)=3, Add (1,2)=73 Failed, w=133\",\"Find(2)=3, Find(6)=3, Add (2,6)=81 Failed, w=133\",\"Find(4)=3, Find(6)=3, Add (4,6)=82 Failed, w=133\",\"Find(0)=3, Find(6)=3, Add (0,6)=94 Failed, w=133\",\"Find(1)=3, Find(3)=3, Add (1,3)=96 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,2,26],[0,3,11],[0,4,17],[0,5,60],[0,6,94],[1,2,73],[1,3,96],[1,4,58],[1,6,23],[2,4,31],[2,6,81],[3,4,57],[3,6,8],[4,6,82],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=8,(0,3)=11,(0,4)=17,(1,6)=23,(0,2)=26,(2,4)=31,(5,6)=48,(0,1)=56,(3,4)=57,(1,4)=58,(0,5)=60,(1,2)=73,(2,6)=81,(4,6)=82,(0,6)=94,(1,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=8 Succeeded, w=8\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=19\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3}, Find(0)=3, Find(4)=4, Add (0,4)=17 Succeeded, w=36\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3}, Find(1)=1, Find(6)=3, Add (1,6)=23 Succeeded, w=59\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3}, Find(0)=3, Find(2)=2, Add (0,2)=26 Succeeded, w=85\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=31 Failed, w=85\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=5, Find(6)=3, Add (5,6)=48 Succeeded, w=133\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=56 Failed, w=133\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(4)=3, Add (3,4)=57 Failed, w=133\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=58 Failed, w=133\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=60 Failed, w=133\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=73 Failed, w=133\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=81 Failed, w=133\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=82 Failed, w=133\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(6)=3, Add (0,6)=94 Failed, w=133\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=96 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,75],[0,2,97],[0,4,92],[0,5,36],[0,6,81],[1,2,23],[1,3,71],[1,5,3],[1,6,67],[2,3,47],[2,5,14],[3,4,77],[3,6,43],[4,6,88],[5,6,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,97],[0,4,92],[0,5,36],[0,6,81],[1,2,23],[1,3,71],[1,5,3],[1,6,67],[2,3,47],[2,5,14],[3,4,77],[3,6,43],[4,6,88],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,97],[0,4,92],[0,5,36],[0,6,81],[1,2,23],[1,3,71],[1,5,3],[1,6,67],[2,3,47],[2,5,14],[3,4,77],[3,6,43],[4,6,88],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (2,5)\",\"Add (0,5)\",\"Add (3,6)\",\"Add (2,3)\",\"Add (3,4)\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,97],[0,4,92],[0,5,36],[0,6,81],[1,2,23],[1,3,71],[1,5,3],[1,6,67],[2,3,47],[2,5,14],[3,4,77],[3,6,43],[4,6,88],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=3, w=3\",\"Add (2,5)=14, w=17\",\"Add (0,5)=36, w=53\",\"Add (3,6)=43, w=96\",\"Add (2,3)=47, w=143\",\"Add (3,4)=77, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,97],[0,4,92],[0,5,36],[0,6,81],[1,2,23],[1,3,71],[1,5,3],[1,6,67],[2,3,47],[2,5,14],[3,4,77],[3,6,43],[4,6,88],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=3 Succeeded, w=3\",\"Add (2,5)=14 Succeeded, w=17\",\"Add (1,2)=23 Failed, w=17\",\"Add (0,5)=36 Succeeded, w=53\",\"Add (3,6)=43 Succeeded, w=96\",\"Add (2,3)=47 Succeeded, w=143\",\"Add (1,6)=67 Failed, w=143\",\"Add (1,3)=71 Failed, w=143\",\"Add (0,1)=75 Failed, w=143\",\"Add (3,4)=77 Succeeded, w=220\",\"Add (0,6)=81 Failed, w=220\",\"Add (5,6)=87 Failed, w=220\",\"Add (4,6)=88 Failed, w=220\",\"Add (0,4)=92 Failed, w=220\",\"Add (0,2)=97 Failed, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,97],[0,4,92],[0,5,36],[0,6,81],[1,2,23],[1,3,71],[1,5,3],[1,6,67],[2,3,47],[2,5,14],[3,4,77],[3,6,43],[4,6,88],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=3,(2,5)=14,(1,2)=23,(0,5)=36,(3,6)=43,(2,3)=47,(1,6)=67,(1,3)=71,(0,1)=75,(3,4)=77,(0,6)=81,(5,6)=87,(4,6)=88,(0,4)=92,(0,2)=97]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=3 Succeeded, w=3\",\"Find(2)=2, Find(5)=1, Add (2,5)=14 Succeeded, w=17\",\"Find(1)=1, Find(2)=1, Add (1,2)=23 Failed, w=17\",\"Find(0)=0, Find(5)=1, Add (0,5)=36 Succeeded, w=53\",\"Find(3)=3, Find(6)=6, Add (3,6)=43 Succeeded, w=96\",\"Find(2)=1, Find(3)=3, Add (2,3)=47 Succeeded, w=143\",\"Find(1)=1, Find(6)=1, Add (1,6)=67 Failed, w=143\",\"Find(1)=1, Find(3)=1, Add (1,3)=71 Failed, w=143\",\"Find(0)=1, Find(1)=1, Add (0,1)=75 Failed, w=143\",\"Find(3)=1, Find(4)=4, Add (3,4)=77 Succeeded, w=220\",\"Find(0)=1, Find(6)=1, Add (0,6)=81 Failed, w=220\",\"Find(5)=1, Find(6)=1, Add (5,6)=87 Failed, w=220\",\"Find(4)=1, Find(6)=1, Add (4,6)=88 Failed, w=220\",\"Find(0)=1, Find(4)=1, Add (0,4)=92 Failed, w=220\",\"Find(0)=1, Find(2)=1, Add (0,2)=97 Failed, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,97],[0,4,92],[0,5,36],[0,6,81],[1,2,23],[1,3,71],[1,5,3],[1,6,67],[2,3,47],[2,5,14],[3,4,77],[3,6,43],[4,6,88],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=3,(2,5)=14,(1,2)=23,(0,5)=36,(3,6)=43,(2,3)=47,(1,6)=67,(1,3)=71,(0,1)=75,(3,4)=77,(0,6)=81,(5,6)=87,(4,6)=88,(0,4)=92,(0,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6}, Find(2)=2, Find(5)=1, Add (2,5)=14 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(2)=1, Add (1,2)=23 Failed, w=17\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6}, Find(0)=0, Find(5)=1, Add (0,5)=36 Succeeded, w=53\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=43 Succeeded, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 3}, Find(2)=1, Find(3)=3, Add (2,3)=47 Succeeded, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=67 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=71 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=75 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=4, Add (3,4)=77 Succeeded, w=220\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=81 Failed, w=220\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=87 Failed, w=220\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=88 Failed, w=220\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=92 Failed, w=220\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=97 Failed, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,66],[0,2,95],[0,3,10],[0,4,57],[1,2,28],[1,3,8],[1,4,2],[2,3,53],[2,4,61],[3,4,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,95],[0,3,10],[0,4,57],[1,2,28],[1,3,8],[1,4,2],[2,3,53],[2,4,61],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":48}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,95],[0,3,10],[0,4,57],[1,2,28],[1,3,8],[1,4,2],[2,3,53],[2,4,61],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,3)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":48}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,95],[0,3,10],[0,4,57],[1,2,28],[1,3,8],[1,4,2],[2,3,53],[2,4,61],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2, w=2\",\"Add (1,3)=8, w=10\",\"Add (0,3)=10, w=20\",\"Add (1,2)=28, w=48\"],\"Answer\":48}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,95],[0,3,10],[0,4,57],[1,2,28],[1,3,8],[1,4,2],[2,3,53],[2,4,61],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2 Succeeded, w=2\",\"Add (1,3)=8 Succeeded, w=10\",\"Add (0,3)=10 Succeeded, w=20\",\"Add (1,2)=28 Succeeded, w=48\",\"Add (2,3)=53 Failed, w=48\",\"Add (0,4)=57 Failed, w=48\",\"Add (2,4)=61 Failed, w=48\",\"Add (3,4)=62 Failed, w=48\",\"Add (0,1)=66 Failed, w=48\",\"Add (0,2)=95 Failed, w=48\"],\"Answer\":48}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,95],[0,3,10],[0,4,57],[1,2,28],[1,3,8],[1,4,2],[2,3,53],[2,4,61],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(1,3)=8,(0,3)=10,(1,2)=28,(2,3)=53,(0,4)=57,(2,4)=61,(3,4)=62,(0,1)=66,(0,2)=95]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=10\",\"Find(0)=0, Find(3)=1, Add (0,3)=10 Succeeded, w=20\",\"Find(1)=1, Find(2)=2, Add (1,2)=28 Succeeded, w=48\",\"Find(2)=1, Find(3)=1, Add (2,3)=53 Failed, w=48\",\"Find(0)=1, Find(4)=1, Add (0,4)=57 Failed, w=48\",\"Find(2)=1, Find(4)=1, Add (2,4)=61 Failed, w=48\",\"Find(3)=1, Find(4)=1, Add (3,4)=62 Failed, w=48\",\"Find(0)=1, Find(1)=1, Add (0,1)=66 Failed, w=48\",\"Find(0)=1, Find(2)=1, Add (0,2)=95 Failed, w=48\"],\"Answer\":48}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,95],[0,3,10],[0,4,57],[1,2,28],[1,3,8],[1,4,2],[2,3,53],[2,4,61],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(1,3)=8,(0,3)=10,(1,2)=28,(2,3)=53,(0,4)=57,(2,4)=61,(3,4)=62,(0,1)=66,(0,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(3)=3, Add (1,3)=8 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: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=28 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=53 Failed, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=57 Failed, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=61 Failed, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=62 Failed, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=66 Failed, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=95 Failed, w=48\"],\"Answer\":48}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,16],[0,2,80],[0,4,85],[0,5,3],[1,2,39],[1,3,89],[1,4,87],[2,4,57],[3,4,29],[3,5,81],[3,6,43],[4,5,32],[4,6,100]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,80],[0,4,85],[0,5,3],[1,2,39],[1,3,89],[1,4,87],[2,4,57],[3,4,29],[3,5,81],[3,6,43],[4,5,32],[4,6,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,80],[0,4,85],[0,5,3],[1,2,39],[1,3,89],[1,4,87],[2,4,57],[3,4,29],[3,5,81],[3,6,43],[4,5,32],[4,6,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (4,5)\",\"Add (1,2)\",\"Add (3,6)\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,80],[0,4,85],[0,5,3],[1,2,39],[1,3,89],[1,4,87],[2,4,57],[3,4,29],[3,5,81],[3,6,43],[4,5,32],[4,6,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=3, w=3\",\"Add (0,1)=16, w=19\",\"Add (3,4)=29, w=48\",\"Add (4,5)=32, w=80\",\"Add (1,2)=39, w=119\",\"Add (3,6)=43, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,80],[0,4,85],[0,5,3],[1,2,39],[1,3,89],[1,4,87],[2,4,57],[3,4,29],[3,5,81],[3,6,43],[4,5,32],[4,6,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=3 Succeeded, w=3\",\"Add (0,1)=16 Succeeded, w=19\",\"Add (3,4)=29 Succeeded, w=48\",\"Add (4,5)=32 Succeeded, w=80\",\"Add (1,2)=39 Succeeded, w=119\",\"Add (3,6)=43 Succeeded, w=162\",\"Add (2,4)=57 Failed, w=162\",\"Add (0,2)=80 Failed, w=162\",\"Add (3,5)=81 Failed, w=162\",\"Add (0,4)=85 Failed, w=162\",\"Add (1,4)=87 Failed, w=162\",\"Add (1,3)=89 Failed, w=162\",\"Add (4,6)=100 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,80],[0,4,85],[0,5,3],[1,2,39],[1,3,89],[1,4,87],[2,4,57],[3,4,29],[3,5,81],[3,6,43],[4,5,32],[4,6,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=3,(0,1)=16,(3,4)=29,(4,5)=32,(1,2)=39,(3,6)=43,(2,4)=57,(0,2)=80,(3,5)=81,(0,4)=85,(1,4)=87,(1,3)=89,(4,6)=100]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=19\",\"Find(3)=3, Find(4)=4, Add (3,4)=29 Succeeded, w=48\",\"Find(4)=3, Find(5)=0, Add (4,5)=32 Succeeded, w=80\",\"Find(1)=3, Find(2)=2, Add (1,2)=39 Succeeded, w=119\",\"Find(3)=3, Find(6)=6, Add (3,6)=43 Succeeded, w=162\",\"Find(2)=3, Find(4)=3, Add (2,4)=57 Failed, w=162\",\"Find(0)=3, Find(2)=3, Add (0,2)=80 Failed, w=162\",\"Find(3)=3, Find(5)=3, Add (3,5)=81 Failed, w=162\",\"Find(0)=3, Find(4)=3, Add (0,4)=85 Failed, w=162\",\"Find(1)=3, Find(4)=3, Add (1,4)=87 Failed, w=162\",\"Find(1)=3, Find(3)=3, Add (1,3)=89 Failed, w=162\",\"Find(4)=3, Find(6)=3, Add (4,6)=100 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,80],[0,4,85],[0,5,3],[1,2,39],[1,3,89],[1,4,87],[2,4,57],[3,4,29],[3,5,81],[3,6,43],[4,5,32],[4,6,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=3,(0,1)=16,(3,4)=29,(4,5)=32,(1,2)=39,(3,6)=43,(2,4)=57,(0,2)=80,(3,5)=81,(0,4)=85,(1,4)=87,(1,3)=89,(4,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 0, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=29 Succeeded, w=48\",\"Parent: {0: 3, 1: 0, 2: 2, 3: 3, 4: 3, 5: 0, 6: 6}, Find(4)=3, Find(5)=0, Add (4,5)=32 Succeeded, w=80\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 6}, Find(1)=3, Find(2)=2, Add (1,2)=39 Succeeded, w=119\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=43 Succeeded, w=162\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=57 Failed, w=162\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=80 Failed, w=162\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(5)=3, Add (3,5)=81 Failed, w=162\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=85 Failed, w=162\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=87 Failed, w=162\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=89 Failed, w=162\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=100 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,40],[0,2,39],[0,3,96],[0,4,82],[1,2,76],[1,3,85],[1,4,31],[1,5,62],[2,3,0],[2,4,3],[2,5,42],[3,4,54],[4,5,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,40],[0,2,39],[0,3,96],[0,4,82],[1,2,76],[1,3,85],[1,4,31],[1,5,62],[2,3,0],[2,4,3],[2,5,42],[3,4,54],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,40],[0,2,39],[0,3,96],[0,4,82],[1,2,76],[1,3,85],[1,4,31],[1,5,62],[2,3,0],[2,4,3],[2,5,42],[3,4,54],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (4,5)\",\"Add (2,4)\",\"Add (1,4)\",\"Add (0,2)\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,40],[0,2,39],[0,3,96],[0,4,82],[1,2,76],[1,3,85],[1,4,31],[1,5,62],[2,3,0],[2,4,3],[2,5,42],[3,4,54],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (4,5)=2, w=2\",\"Add (2,4)=3, w=5\",\"Add (1,4)=31, w=36\",\"Add (0,2)=39, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,40],[0,2,39],[0,3,96],[0,4,82],[1,2,76],[1,3,85],[1,4,31],[1,5,62],[2,3,0],[2,4,3],[2,5,42],[3,4,54],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (4,5)=2 Succeeded, w=2\",\"Add (2,4)=3 Succeeded, w=5\",\"Add (1,4)=31 Succeeded, w=36\",\"Add (0,2)=39 Succeeded, w=75\",\"Add (0,1)=40 Failed, w=75\",\"Add (2,5)=42 Failed, w=75\",\"Add (3,4)=54 Failed, w=75\",\"Add (1,5)=62 Failed, w=75\",\"Add (1,2)=76 Failed, w=75\",\"Add (0,4)=82 Failed, w=75\",\"Add (1,3)=85 Failed, w=75\",\"Add (0,3)=96 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,40],[0,2,39],[0,3,96],[0,4,82],[1,2,76],[1,3,85],[1,4,31],[1,5,62],[2,3,0],[2,4,3],[2,5,42],[3,4,54],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(4,5)=2,(2,4)=3,(1,4)=31,(0,2)=39,(0,1)=40,(2,5)=42,(3,4)=54,(1,5)=62,(1,2)=76,(0,4)=82,(1,3)=85,(0,3)=96]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=5\",\"Find(1)=1, Find(4)=2, Add (1,4)=31 Succeeded, w=36\",\"Find(0)=0, Find(2)=2, Add (0,2)=39 Succeeded, w=75\",\"Find(0)=2, Find(1)=2, Add (0,1)=40 Failed, w=75\",\"Find(2)=2, Find(5)=2, Add (2,5)=42 Failed, w=75\",\"Find(3)=2, Find(4)=2, Add (3,4)=54 Failed, w=75\",\"Find(1)=2, Find(5)=2, Add (1,5)=62 Failed, w=75\",\"Find(1)=2, Find(2)=2, Add (1,2)=76 Failed, w=75\",\"Find(0)=2, Find(4)=2, Add (0,4)=82 Failed, w=75\",\"Find(1)=2, Find(3)=2, Add (1,3)=85 Failed, w=75\",\"Find(0)=2, Find(3)=2, Add (0,3)=96 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,40],[0,2,39],[0,3,96],[0,4,82],[1,2,76],[1,3,85],[1,4,31],[1,5,62],[2,3,0],[2,4,3],[2,5,42],[3,4,54],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(4,5)=2,(2,4)=3,(1,4)=31,(0,2)=39,(0,1)=40,(2,5)=42,(3,4)=54,(1,5)=62,(1,2)=76,(0,4)=82,(1,3)=85,(0,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4}, Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4}, Find(1)=1, Find(4)=2, Add (1,4)=31 Succeeded, w=36\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4}, Find(0)=0, Find(2)=2, Add (0,2)=39 Succeeded, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4}, Find(0)=2, Find(1)=2, Add (0,1)=40 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=42 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=54 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=62 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=76 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=82 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=85 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=96 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,88],[0,2,69],[0,3,11],[0,4,77],[0,5,70],[0,6,60],[1,2,0],[1,3,39],[1,4,71],[1,5,83],[1,6,98],[2,4,95],[2,5,8],[2,6,74],[3,4,70],[3,5,49],[3,6,54],[4,5,1],[4,6,97],[5,6,65]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,69],[0,3,11],[0,4,77],[0,5,70],[0,6,60],[1,2,0],[1,3,39],[1,4,71],[1,5,83],[1,6,98],[2,4,95],[2,5,8],[2,6,74],[3,4,70],[3,5,49],[3,6,54],[4,5,1],[4,6,97],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,69],[0,3,11],[0,4,77],[0,5,70],[0,6,60],[1,2,0],[1,3,39],[1,4,71],[1,5,83],[1,6,98],[2,4,95],[2,5,8],[2,6,74],[3,4,70],[3,5,49],[3,6,54],[4,5,1],[4,6,97],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (4,5)\",\"Add (2,5)\",\"Add (0,3)\",\"Add (1,3)\",\"Add (3,6)\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,69],[0,3,11],[0,4,77],[0,5,70],[0,6,60],[1,2,0],[1,3,39],[1,4,71],[1,5,83],[1,6,98],[2,4,95],[2,5,8],[2,6,74],[3,4,70],[3,5,49],[3,6,54],[4,5,1],[4,6,97],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (4,5)=1, w=1\",\"Add (2,5)=8, w=9\",\"Add (0,3)=11, w=20\",\"Add (1,3)=39, w=59\",\"Add (3,6)=54, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,69],[0,3,11],[0,4,77],[0,5,70],[0,6,60],[1,2,0],[1,3,39],[1,4,71],[1,5,83],[1,6,98],[2,4,95],[2,5,8],[2,6,74],[3,4,70],[3,5,49],[3,6,54],[4,5,1],[4,6,97],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (4,5)=1 Succeeded, w=1\",\"Add (2,5)=8 Succeeded, w=9\",\"Add (0,3)=11 Succeeded, w=20\",\"Add (1,3)=39 Succeeded, w=59\",\"Add (3,5)=49 Failed, w=59\",\"Add (3,6)=54 Succeeded, w=113\",\"Add (0,6)=60 Failed, w=113\",\"Add (5,6)=65 Failed, w=113\",\"Add (0,2)=69 Failed, w=113\",\"Add (0,5)=70 Failed, w=113\",\"Add (3,4)=70 Failed, w=113\",\"Add (1,4)=71 Failed, w=113\",\"Add (2,6)=74 Failed, w=113\",\"Add (0,4)=77 Failed, w=113\",\"Add (1,5)=83 Failed, w=113\",\"Add (0,1)=88 Failed, w=113\",\"Add (2,4)=95 Failed, w=113\",\"Add (4,6)=97 Failed, w=113\",\"Add (1,6)=98 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,69],[0,3,11],[0,4,77],[0,5,70],[0,6,60],[1,2,0],[1,3,39],[1,4,71],[1,5,83],[1,6,98],[2,4,95],[2,5,8],[2,6,74],[3,4,70],[3,5,49],[3,6,54],[4,5,1],[4,6,97],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(4,5)=1,(2,5)=8,(0,3)=11,(1,3)=39,(3,5)=49,(3,6)=54,(0,6)=60,(5,6)=65,(0,2)=69,(0,5)=70,(3,4)=70,(1,4)=71,(2,6)=74,(0,4)=77,(1,5)=83,(0,1)=88,(2,4)=95,(4,6)=97,(1,6)=98]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Find(2)=1, Find(5)=4, Add (2,5)=8 Succeeded, w=9\",\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=20\",\"Find(1)=1, Find(3)=0, Add (1,3)=39 Succeeded, w=59\",\"Find(3)=1, Find(5)=1, Add (3,5)=49 Failed, w=59\",\"Find(3)=1, Find(6)=6, Add (3,6)=54 Succeeded, w=113\",\"Find(0)=1, Find(6)=1, Add (0,6)=60 Failed, w=113\",\"Find(5)=1, Find(6)=1, Add (5,6)=65 Failed, w=113\",\"Find(0)=1, Find(2)=1, Add (0,2)=69 Failed, w=113\",\"Find(0)=1, Find(5)=1, Add (0,5)=70 Failed, w=113\",\"Find(3)=1, Find(4)=1, Add (3,4)=70 Failed, w=113\",\"Find(1)=1, Find(4)=1, Add (1,4)=71 Failed, w=113\",\"Find(2)=1, Find(6)=1, Add (2,6)=74 Failed, w=113\",\"Find(0)=1, Find(4)=1, Add (0,4)=77 Failed, w=113\",\"Find(1)=1, Find(5)=1, Add (1,5)=83 Failed, w=113\",\"Find(0)=1, Find(1)=1, Add (0,1)=88 Failed, w=113\",\"Find(2)=1, Find(4)=1, Add (2,4)=95 Failed, w=113\",\"Find(4)=1, Find(6)=1, Add (4,6)=97 Failed, w=113\",\"Find(1)=1, Find(6)=1, Add (1,6)=98 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,69],[0,3,11],[0,4,77],[0,5,70],[0,6,60],[1,2,0],[1,3,39],[1,4,71],[1,5,83],[1,6,98],[2,4,95],[2,5,8],[2,6,74],[3,4,70],[3,5,49],[3,6,54],[4,5,1],[4,6,97],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(4,5)=1,(2,5)=8,(0,3)=11,(1,3)=39,(3,5)=49,(3,6)=54,(0,6)=60,(5,6)=65,(0,2)=69,(0,5)=70,(3,4)=70,(1,4)=71,(2,6)=74,(0,4)=77,(1,5)=83,(0,1)=88,(2,4)=95,(4,6)=97,(1,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 4, 6: 6}, Find(2)=1, Find(5)=4, Add (2,5)=8 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 4, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 4, 6: 6}, Find(1)=1, Find(3)=0, Add (1,3)=39 Succeeded, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6}, Find(3)=1, Find(5)=1, Add (3,5)=49 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=6, Add (3,6)=54 Succeeded, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=60 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=65 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=69 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=70 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=70 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=71 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=74 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=77 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=83 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=88 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=95 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=97 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=98 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,25],[1,2,11],[1,3,68],[2,3,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[1,2,11],[1,3,68],[2,3,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":41}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[1,2,11],[1,3,68],[2,3,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":41}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[1,2,11],[1,3,68],[2,3,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5, w=5\",\"Add (1,2)=11, w=16\",\"Add (0,1)=25, w=41\"],\"Answer\":41}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[1,2,11],[1,3,68],[2,3,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5 Succeeded, w=5\",\"Add (1,2)=11 Succeeded, w=16\",\"Add (0,1)=25 Succeeded, w=41\",\"Add (1,3)=68 Failed, w=41\"],\"Answer\":41}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[1,2,11],[1,3,68],[2,3,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(1,2)=11,(0,1)=25,(1,3)=68]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=16\",\"Find(0)=0, Find(1)=2, Add (0,1)=25 Succeeded, w=41\",\"Find(1)=2, Find(3)=2, Add (1,3)=68 Failed, w=41\"],\"Answer\":41}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[1,2,11],[1,3,68],[2,3,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(1,2)=11,(0,1)=25,(1,3)=68]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=16\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(1)=2, Add (0,1)=25 Succeeded, w=41\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=68 Failed, w=41\"],\"Answer\":41}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,86],[0,4,9],[0,5,28],[0,6,80],[1,2,75],[1,3,100],[1,4,87],[1,5,6],[1,6,3],[2,3,25],[2,4,24],[2,6,0],[3,4,59],[3,5,59],[3,6,9],[4,6,30],[5,6,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,86],[0,4,9],[0,5,28],[0,6,80],[1,2,75],[1,3,100],[1,4,87],[1,5,6],[1,6,3],[2,3,25],[2,4,24],[2,6,0],[3,4,59],[3,5,59],[3,6,9],[4,6,30],[5,6,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,86],[0,4,9],[0,5,28],[0,6,80],[1,2,75],[1,3,100],[1,4,87],[1,5,6],[1,6,3],[2,3,25],[2,4,24],[2,6,0],[3,4,59],[3,5,59],[3,6,9],[4,6,30],[5,6,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (1,6)\",\"Add (1,5)\",\"Add (0,4)\",\"Add (3,6)\",\"Add (2,4)\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,86],[0,4,9],[0,5,28],[0,6,80],[1,2,75],[1,3,100],[1,4,87],[1,5,6],[1,6,3],[2,3,25],[2,4,24],[2,6,0],[3,4,59],[3,5,59],[3,6,9],[4,6,30],[5,6,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=0, w=0\",\"Add (1,6)=3, w=3\",\"Add (1,5)=6, w=9\",\"Add (0,4)=9, w=18\",\"Add (3,6)=9, w=27\",\"Add (2,4)=24, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,86],[0,4,9],[0,5,28],[0,6,80],[1,2,75],[1,3,100],[1,4,87],[1,5,6],[1,6,3],[2,3,25],[2,4,24],[2,6,0],[3,4,59],[3,5,59],[3,6,9],[4,6,30],[5,6,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=0 Succeeded, w=0\",\"Add (1,6)=3 Succeeded, w=3\",\"Add (1,5)=6 Succeeded, w=9\",\"Add (0,4)=9 Succeeded, w=18\",\"Add (3,6)=9 Succeeded, w=27\",\"Add (5,6)=16 Failed, w=27\",\"Add (2,4)=24 Succeeded, w=51\",\"Add (2,3)=25 Failed, w=51\",\"Add (0,5)=28 Failed, w=51\",\"Add (4,6)=30 Failed, w=51\",\"Add (3,4)=59 Failed, w=51\",\"Add (3,5)=59 Failed, w=51\",\"Add (1,2)=75 Failed, w=51\",\"Add (0,6)=80 Failed, w=51\",\"Add (0,2)=86 Failed, w=51\",\"Add (1,4)=87 Failed, w=51\",\"Add (1,3)=100 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,86],[0,4,9],[0,5,28],[0,6,80],[1,2,75],[1,3,100],[1,4,87],[1,5,6],[1,6,3],[2,3,25],[2,4,24],[2,6,0],[3,4,59],[3,5,59],[3,6,9],[4,6,30],[5,6,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=0,(1,6)=3,(1,5)=6,(0,4)=9,(3,6)=9,(5,6)=16,(2,4)=24,(2,3)=25,(0,5)=28,(4,6)=30,(3,4)=59,(3,5)=59,(1,2)=75,(0,6)=80,(0,2)=86,(1,4)=87,(1,3)=100]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=0 Succeeded, w=0\",\"Find(1)=1, Find(6)=2, Add (1,6)=3 Succeeded, w=3\",\"Find(1)=2, Find(5)=5, Add (1,5)=6 Succeeded, w=9\",\"Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=18\",\"Find(3)=3, Find(6)=2, Add (3,6)=9 Succeeded, w=27\",\"Find(5)=2, Find(6)=2, Add (5,6)=16 Failed, w=27\",\"Find(2)=2, Find(4)=0, Add (2,4)=24 Succeeded, w=51\",\"Find(2)=2, Find(3)=2, Add (2,3)=25 Failed, w=51\",\"Find(0)=2, Find(5)=2, Add (0,5)=28 Failed, w=51\",\"Find(4)=2, Find(6)=2, Add (4,6)=30 Failed, w=51\",\"Find(3)=2, Find(4)=2, Add (3,4)=59 Failed, w=51\",\"Find(3)=2, Find(5)=2, Add (3,5)=59 Failed, w=51\",\"Find(1)=2, Find(2)=2, Add (1,2)=75 Failed, w=51\",\"Find(0)=2, Find(6)=2, Add (0,6)=80 Failed, w=51\",\"Find(0)=2, Find(2)=2, Add (0,2)=86 Failed, w=51\",\"Find(1)=2, Find(4)=2, Add (1,4)=87 Failed, w=51\",\"Find(1)=2, Find(3)=2, Add (1,3)=100 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,86],[0,4,9],[0,5,28],[0,6,80],[1,2,75],[1,3,100],[1,4,87],[1,5,6],[1,6,3],[2,3,25],[2,4,24],[2,6,0],[3,4,59],[3,5,59],[3,6,9],[4,6,30],[5,6,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=0,(1,6)=3,(1,5)=6,(0,4)=9,(3,6)=9,(5,6)=16,(2,4)=24,(2,3)=25,(0,5)=28,(4,6)=30,(3,4)=59,(3,5)=59,(1,2)=75,(0,6)=80,(0,2)=86,(1,4)=87,(1,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(1)=1, Find(6)=2, Add (1,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2}, Find(1)=2, Find(5)=5, Add (1,5)=6 Succeeded, w=9\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 0, 5: 2, 6: 2}, Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=18\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2}, Find(3)=3, Find(6)=2, Add (3,6)=9 Succeeded, w=27\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=16 Failed, w=27\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2}, Find(2)=2, Find(4)=0, Add (2,4)=24 Succeeded, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=25 Failed, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=28 Failed, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=30 Failed, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=59 Failed, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=59 Failed, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=75 Failed, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=80 Failed, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=86 Failed, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=87 Failed, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=100 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,21],[0,2,12],[0,3,49],[1,3,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,12],[0,3,49],[1,3,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,12],[0,3,49],[1,3,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,12],[0,3,49],[1,3,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=12, w=12\",\"Add (0,1)=21, w=33\",\"Add (1,3)=27, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,12],[0,3,49],[1,3,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=12 Succeeded, w=12\",\"Add (0,1)=21 Succeeded, w=33\",\"Add (1,3)=27 Succeeded, w=60\",\"Add (0,3)=49 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,12],[0,3,49],[1,3,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=12,(0,1)=21,(1,3)=27,(0,3)=49]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=12\",\"Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=33\",\"Find(1)=0, Find(3)=3, Add (1,3)=27 Succeeded, w=60\",\"Find(0)=0, Find(3)=0, Add (0,3)=49 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,12],[0,3,49],[1,3,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=12,(0,1)=21,(1,3)=27,(0,3)=49]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=27 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=49 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,16],[0,2,5],[0,3,5],[0,4,85],[1,2,32],[1,3,77],[1,4,5],[2,3,2],[2,4,40],[3,4,9]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,5],[0,3,5],[0,4,85],[1,2,32],[1,3,77],[1,4,5],[2,3,2],[2,4,40],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Answer\":21}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,5],[0,3,5],[0,4,85],[1,2,32],[1,3,77],[1,4,5],[2,3,2],[2,4,40],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (3,4)\"],\"Answer\":21}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,5],[0,3,5],[0,4,85],[1,2,32],[1,3,77],[1,4,5],[2,3,2],[2,4,40],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2, w=2\",\"Add (0,2)=5, w=7\",\"Add (1,4)=5, w=12\",\"Add (3,4)=9, w=21\"],\"Answer\":21}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,5],[0,3,5],[0,4,85],[1,2,32],[1,3,77],[1,4,5],[2,3,2],[2,4,40],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2 Succeeded, w=2\",\"Add (0,2)=5 Succeeded, w=7\",\"Add (0,3)=5 Failed, w=7\",\"Add (1,4)=5 Succeeded, w=12\",\"Add (3,4)=9 Succeeded, w=21\",\"Add (0,1)=16 Failed, w=21\",\"Add (1,2)=32 Failed, w=21\",\"Add (2,4)=40 Failed, w=21\",\"Add (1,3)=77 Failed, w=21\",\"Add (0,4)=85 Failed, w=21\"],\"Answer\":21}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,5],[0,3,5],[0,4,85],[1,2,32],[1,3,77],[1,4,5],[2,3,2],[2,4,40],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(0,2)=5,(0,3)=5,(1,4)=5,(3,4)=9,(0,1)=16,(1,2)=32,(2,4)=40,(1,3)=77,(0,4)=85]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=7\",\"Find(0)=2, Find(3)=2, Add (0,3)=5 Failed, w=7\",\"Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=12\",\"Find(3)=2, Find(4)=1, Add (3,4)=9 Succeeded, w=21\",\"Find(0)=2, Find(1)=2, Add (0,1)=16 Failed, w=21\",\"Find(1)=2, Find(2)=2, Add (1,2)=32 Failed, w=21\",\"Find(2)=2, Find(4)=2, Add (2,4)=40 Failed, w=21\",\"Find(1)=2, Find(3)=2, Add (1,3)=77 Failed, w=21\",\"Find(0)=2, Find(4)=2, Add (0,4)=85 Failed, w=21\"],\"Answer\":21}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,5],[0,3,5],[0,4,85],[1,2,32],[1,3,77],[1,4,5],[2,3,2],[2,4,40],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(0,2)=5,(0,3)=5,(1,4)=5,(3,4)=9,(0,1)=16,(1,2)=32,(2,4)=40,(1,3)=77,(0,4)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=7\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4}, Find(0)=2, Find(3)=2, Add (0,3)=5 Failed, w=7\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=12\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1}, Find(3)=2, Find(4)=1, Add (3,4)=9 Succeeded, w=21\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1}, Find(0)=2, Find(1)=2, Add (0,1)=16 Failed, w=21\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1}, Find(1)=2, Find(2)=2, Add (1,2)=32 Failed, w=21\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=40 Failed, w=21\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=77 Failed, w=21\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=85 Failed, w=21\"],\"Answer\":21}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,56],[0,2,96],[0,3,5],[0,4,78],[0,5,45],[1,3,86],[1,4,91],[1,5,61],[1,6,93],[2,3,87],[2,4,11],[2,5,55],[2,6,56],[2,7,21],[3,4,27],[3,5,89],[3,6,52],[3,7,73],[4,5,33],[4,6,7],[5,6,43],[5,7,21],[6,7,63]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,96],[0,3,5],[0,4,78],[0,5,45],[1,3,86],[1,4,91],[1,5,61],[1,6,93],[2,3,87],[2,4,11],[2,5,55],[2,6,56],[2,7,21],[3,4,27],[3,5,89],[3,6,52],[3,7,73],[4,5,33],[4,6,7],[5,6,43],[5,7,21],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,96],[0,3,5],[0,4,78],[0,5,45],[1,3,86],[1,4,91],[1,5,61],[1,6,93],[2,3,87],[2,4,11],[2,5,55],[2,6,56],[2,7,21],[3,4,27],[3,5,89],[3,6,52],[3,7,73],[4,5,33],[4,6,7],[5,6,43],[5,7,21],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (4,6)\",\"Add (2,4)\",\"Add (2,7)\",\"Add (5,7)\",\"Add (3,4)\",\"Add (0,1)\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,96],[0,3,5],[0,4,78],[0,5,45],[1,3,86],[1,4,91],[1,5,61],[1,6,93],[2,3,87],[2,4,11],[2,5,55],[2,6,56],[2,7,21],[3,4,27],[3,5,89],[3,6,52],[3,7,73],[4,5,33],[4,6,7],[5,6,43],[5,7,21],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5, w=5\",\"Add (4,6)=7, w=12\",\"Add (2,4)=11, w=23\",\"Add (2,7)=21, w=44\",\"Add (5,7)=21, w=65\",\"Add (3,4)=27, w=92\",\"Add (0,1)=56, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,96],[0,3,5],[0,4,78],[0,5,45],[1,3,86],[1,4,91],[1,5,61],[1,6,93],[2,3,87],[2,4,11],[2,5,55],[2,6,56],[2,7,21],[3,4,27],[3,5,89],[3,6,52],[3,7,73],[4,5,33],[4,6,7],[5,6,43],[5,7,21],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5 Succeeded, w=5\",\"Add (4,6)=7 Succeeded, w=12\",\"Add (2,4)=11 Succeeded, w=23\",\"Add (2,7)=21 Succeeded, w=44\",\"Add (5,7)=21 Succeeded, w=65\",\"Add (3,4)=27 Succeeded, w=92\",\"Add (4,5)=33 Failed, w=92\",\"Add (5,6)=43 Failed, w=92\",\"Add (0,5)=45 Failed, w=92\",\"Add (3,6)=52 Failed, w=92\",\"Add (2,5)=55 Failed, w=92\",\"Add (0,1)=56 Succeeded, w=148\",\"Add (2,6)=56 Failed, w=148\",\"Add (1,5)=61 Failed, w=148\",\"Add (6,7)=63 Failed, w=148\",\"Add (3,7)=73 Failed, w=148\",\"Add (0,4)=78 Failed, w=148\",\"Add (1,3)=86 Failed, w=148\",\"Add (2,3)=87 Failed, w=148\",\"Add (3,5)=89 Failed, w=148\",\"Add (1,4)=91 Failed, w=148\",\"Add (1,6)=93 Failed, w=148\",\"Add (0,2)=96 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,96],[0,3,5],[0,4,78],[0,5,45],[1,3,86],[1,4,91],[1,5,61],[1,6,93],[2,3,87],[2,4,11],[2,5,55],[2,6,56],[2,7,21],[3,4,27],[3,5,89],[3,6,52],[3,7,73],[4,5,33],[4,6,7],[5,6,43],[5,7,21],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(4,6)=7,(2,4)=11,(2,7)=21,(5,7)=21,(3,4)=27,(4,5)=33,(5,6)=43,(0,5)=45,(3,6)=52,(2,5)=55,(0,1)=56,(2,6)=56,(1,5)=61,(6,7)=63,(3,7)=73,(0,4)=78,(1,3)=86,(2,3)=87,(3,5)=89,(1,4)=91,(1,6)=93,(0,2)=96]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Find(4)=4, Find(6)=6, Add (4,6)=7 Succeeded, w=12\",\"Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=23\",\"Find(2)=4, Find(7)=7, Add (2,7)=21 Succeeded, w=44\",\"Find(5)=5, Find(7)=4, Add (5,7)=21 Succeeded, w=65\",\"Find(3)=0, Find(4)=4, Add (3,4)=27 Succeeded, w=92\",\"Find(4)=0, Find(5)=0, Add (4,5)=33 Failed, w=92\",\"Find(5)=0, Find(6)=0, Add (5,6)=43 Failed, w=92\",\"Find(0)=0, Find(5)=0, Add (0,5)=45 Failed, w=92\",\"Find(3)=0, Find(6)=0, Add (3,6)=52 Failed, w=92\",\"Find(2)=0, Find(5)=0, Add (2,5)=55 Failed, w=92\",\"Find(0)=0, Find(1)=1, Add (0,1)=56 Succeeded, w=148\",\"Find(2)=0, Find(6)=0, Add (2,6)=56 Failed, w=148\",\"Find(1)=0, Find(5)=0, Add (1,5)=61 Failed, w=148\",\"Find(6)=0, Find(7)=0, Add (6,7)=63 Failed, w=148\",\"Find(3)=0, Find(7)=0, Add (3,7)=73 Failed, w=148\",\"Find(0)=0, Find(4)=0, Add (0,4)=78 Failed, w=148\",\"Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=148\",\"Find(2)=0, Find(3)=0, Add (2,3)=87 Failed, w=148\",\"Find(3)=0, Find(5)=0, Add (3,5)=89 Failed, w=148\",\"Find(1)=0, Find(4)=0, Add (1,4)=91 Failed, w=148\",\"Find(1)=0, Find(6)=0, Add (1,6)=93 Failed, w=148\",\"Find(0)=0, Find(2)=0, Add (0,2)=96 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,96],[0,3,5],[0,4,78],[0,5,45],[1,3,86],[1,4,91],[1,5,61],[1,6,93],[2,3,87],[2,4,11],[2,5,55],[2,6,56],[2,7,21],[3,4,27],[3,5,89],[3,6,52],[3,7,73],[4,5,33],[4,6,7],[5,6,43],[5,7,21],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(4,6)=7,(2,4)=11,(2,7)=21,(5,7)=21,(3,4)=27,(4,5)=33,(5,6)=43,(0,5)=45,(3,6)=52,(2,5)=55,(0,1)=56,(2,6)=56,(1,5)=61,(6,7)=63,(3,7)=73,(0,4)=78,(1,3)=86,(2,3)=87,(3,5)=89,(1,4)=91,(1,6)=93,(0,2)=96]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=7 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 0, 4: 4, 5: 5, 6: 4, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 0, 4: 4, 5: 5, 6: 4, 7: 4}, Find(2)=4, Find(7)=7, Add (2,7)=21 Succeeded, w=44\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 0, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=5, Find(7)=4, Add (5,7)=21 Succeeded, w=65\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 0, 4: 0, 5: 4, 6: 4, 7: 4}, Find(3)=0, Find(4)=4, Add (3,4)=27 Succeeded, w=92\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 0, 4: 0, 5: 0, 6: 4, 7: 4}, Find(4)=0, Find(5)=0, Add (4,5)=33 Failed, w=92\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(5)=0, Find(6)=0, Add (5,6)=43 Failed, w=92\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(0)=0, Find(5)=0, Add (0,5)=45 Failed, w=92\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(3)=0, Find(6)=0, Add (3,6)=52 Failed, w=92\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(2)=0, Find(5)=0, Add (2,5)=55 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(0)=0, Find(1)=1, Add (0,1)=56 Succeeded, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(2)=0, Find(6)=0, Add (2,6)=56 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(1)=0, Find(5)=0, Add (1,5)=61 Failed, w=148\",\"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)=63 Failed, w=148\",\"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)=73 Failed, w=148\",\"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)=78 Failed, w=148\",\"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)=86 Failed, w=148\",\"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)=87 Failed, w=148\",\"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)=89 Failed, w=148\",\"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)=91 Failed, w=148\",\"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=148\",\"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)=96 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,97],[0,3,22],[0,5,75],[0,6,22],[0,7,0],[1,2,4],[1,3,22],[1,4,87],[1,5,14],[1,7,2],[2,3,22],[2,4,28],[2,5,61],[2,6,8],[2,7,14],[3,4,92],[3,5,76],[3,6,28],[3,7,27],[4,5,96],[4,6,53],[4,7,54],[5,7,33]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,3,22],[0,5,75],[0,6,22],[0,7,0],[1,2,4],[1,3,22],[1,4,87],[1,5,14],[1,7,2],[2,3,22],[2,4,28],[2,5,61],[2,6,8],[2,7,14],[3,4,92],[3,5,76],[3,6,28],[3,7,27],[4,5,96],[4,6,53],[4,7,54],[5,7,33]]}",
"role": "user"
},
{
"content": "{\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,3,22],[0,5,75],[0,6,22],[0,7,0],[1,2,4],[1,3,22],[1,4,87],[1,5,14],[1,7,2],[2,3,22],[2,4,28],[2,5,61],[2,6,8],[2,7,14],[3,4,92],[3,5,76],[3,6,28],[3,7,27],[4,5,96],[4,6,53],[4,7,54],[5,7,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (1,7)\",\"Add (1,2)\",\"Add (2,6)\",\"Add (1,5)\",\"Add (0,3)\",\"Add (2,4)\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,3,22],[0,5,75],[0,6,22],[0,7,0],[1,2,4],[1,3,22],[1,4,87],[1,5,14],[1,7,2],[2,3,22],[2,4,28],[2,5,61],[2,6,8],[2,7,14],[3,4,92],[3,5,76],[3,6,28],[3,7,27],[4,5,96],[4,6,53],[4,7,54],[5,7,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=0, w=0\",\"Add (1,7)=2, w=2\",\"Add (1,2)=4, w=6\",\"Add (2,6)=8, w=14\",\"Add (1,5)=14, w=28\",\"Add (0,3)=22, w=50\",\"Add (2,4)=28, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,3,22],[0,5,75],[0,6,22],[0,7,0],[1,2,4],[1,3,22],[1,4,87],[1,5,14],[1,7,2],[2,3,22],[2,4,28],[2,5,61],[2,6,8],[2,7,14],[3,4,92],[3,5,76],[3,6,28],[3,7,27],[4,5,96],[4,6,53],[4,7,54],[5,7,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=0 Succeeded, w=0\",\"Add (1,7)=2 Succeeded, w=2\",\"Add (1,2)=4 Succeeded, w=6\",\"Add (2,6)=8 Succeeded, w=14\",\"Add (1,5)=14 Succeeded, w=28\",\"Add (2,7)=14 Failed, w=28\",\"Add (0,3)=22 Succeeded, w=50\",\"Add (0,6)=22 Failed, w=50\",\"Add (1,3)=22 Failed, w=50\",\"Add (2,3)=22 Failed, w=50\",\"Add (3,7)=27 Failed, w=50\",\"Add (2,4)=28 Succeeded, w=78\",\"Add (3,6)=28 Failed, w=78\",\"Add (5,7)=33 Failed, w=78\",\"Add (4,6)=53 Failed, w=78\",\"Add (4,7)=54 Failed, w=78\",\"Add (2,5)=61 Failed, w=78\",\"Add (0,5)=75 Failed, w=78\",\"Add (3,5)=76 Failed, w=78\",\"Add (1,4)=87 Failed, w=78\",\"Add (3,4)=92 Failed, w=78\",\"Add (4,5)=96 Failed, w=78\",\"Add (0,1)=97 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,3,22],[0,5,75],[0,6,22],[0,7,0],[1,2,4],[1,3,22],[1,4,87],[1,5,14],[1,7,2],[2,3,22],[2,4,28],[2,5,61],[2,6,8],[2,7,14],[3,4,92],[3,5,76],[3,6,28],[3,7,27],[4,5,96],[4,6,53],[4,7,54],[5,7,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=0,(1,7)=2,(1,2)=4,(2,6)=8,(1,5)=14,(2,7)=14,(0,3)=22,(0,6)=22,(1,3)=22,(2,3)=22,(3,7)=27,(2,4)=28,(3,6)=28,(5,7)=33,(4,6)=53,(4,7)=54,(2,5)=61,(0,5)=75,(3,5)=76,(1,4)=87,(3,4)=92,(4,5)=96,(0,1)=97]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=0 Succeeded, w=0\",\"Find(1)=1, Find(7)=0, Add (1,7)=2 Succeeded, w=2\",\"Find(1)=0, Find(2)=2, Add (1,2)=4 Succeeded, w=6\",\"Find(2)=0, Find(6)=6, Add (2,6)=8 Succeeded, w=14\",\"Find(1)=0, Find(5)=5, Add (1,5)=14 Succeeded, w=28\",\"Find(2)=0, Find(7)=0, Add (2,7)=14 Failed, w=28\",\"Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=50\",\"Find(0)=0, Find(6)=0, Add (0,6)=22 Failed, w=50\",\"Find(1)=0, Find(3)=0, Add (1,3)=22 Failed, w=50\",\"Find(2)=0, Find(3)=0, Add (2,3)=22 Failed, w=50\",\"Find(3)=0, Find(7)=0, Add (3,7)=27 Failed, w=50\",\"Find(2)=0, Find(4)=4, Add (2,4)=28 Succeeded, w=78\",\"Find(3)=0, Find(6)=0, Add (3,6)=28 Failed, w=78\",\"Find(5)=0, Find(7)=0, Add (5,7)=33 Failed, w=78\",\"Find(4)=0, Find(6)=0, Add (4,6)=53 Failed, w=78\",\"Find(4)=0, Find(7)=0, Add (4,7)=54 Failed, w=78\",\"Find(2)=0, Find(5)=0, Add (2,5)=61 Failed, w=78\",\"Find(0)=0, Find(5)=0, Add (0,5)=75 Failed, w=78\",\"Find(3)=0, Find(5)=0, Add (3,5)=76 Failed, w=78\",\"Find(1)=0, Find(4)=0, Add (1,4)=87 Failed, w=78\",\"Find(3)=0, Find(4)=0, Add (3,4)=92 Failed, w=78\",\"Find(4)=0, Find(5)=0, Add (4,5)=96 Failed, w=78\",\"Find(0)=0, Find(1)=0, Add (0,1)=97 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,3,22],[0,5,75],[0,6,22],[0,7,0],[1,2,4],[1,3,22],[1,4,87],[1,5,14],[1,7,2],[2,3,22],[2,4,28],[2,5,61],[2,6,8],[2,7,14],[3,4,92],[3,5,76],[3,6,28],[3,7,27],[4,5,96],[4,6,53],[4,7,54],[5,7,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=0,(1,7)=2,(1,2)=4,(2,6)=8,(1,5)=14,(2,7)=14,(0,3)=22,(0,6)=22,(1,3)=22,(2,3)=22,(3,7)=27,(2,4)=28,(3,6)=28,(5,7)=33,(4,6)=53,(4,7)=54,(2,5)=61,(0,5)=75,(3,5)=76,(1,4)=87,(3,4)=92,(4,5)=96,(0,1)=97]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 0}, Find(1)=1, Find(7)=0, Add (1,7)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 0}, Find(1)=0, Find(2)=2, Add (1,2)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0, 7: 0}, Find(2)=0, Find(6)=6, Add (2,6)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=5, Add (1,5)=14 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=14 Failed, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=22 Failed, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=22 Failed, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=22 Failed, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=27 Failed, w=50\",\"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)=28 Succeeded, w=78\",\"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)=28 Failed, w=78\",\"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)=33 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=53 Failed, w=78\",\"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)=54 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=61 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=75 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=76 Failed, w=78\",\"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)=87 Failed, w=78\",\"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)=92 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=96 Failed, w=78\",\"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)=97 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=95, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=95 Succeeded, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=95]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=95 Succeeded, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=95 Succeeded, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,42],[0,2,13],[0,3,6],[1,2,87],[1,3,90],[2,3,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,13],[0,3,6],[1,2,87],[1,3,90],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,13],[0,3,6],[1,2,87],[1,3,90],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,13],[0,3,6],[1,2,87],[1,3,90],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6, w=6\",\"Add (0,2)=13, w=19\",\"Add (0,1)=42, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,13],[0,3,6],[1,2,87],[1,3,90],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6 Succeeded, w=6\",\"Add (0,2)=13 Succeeded, w=19\",\"Add (0,1)=42 Succeeded, w=61\",\"Add (2,3)=49 Failed, w=61\",\"Add (1,2)=87 Failed, w=61\",\"Add (1,3)=90 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,13],[0,3,6],[1,2,87],[1,3,90],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(0,2)=13,(0,1)=42,(2,3)=49,(1,2)=87,(1,3)=90]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=19\",\"Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=61\",\"Find(2)=0, Find(3)=0, Add (2,3)=49 Failed, w=61\",\"Find(1)=0, Find(2)=0, Add (1,2)=87 Failed, w=61\",\"Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,13],[0,3,6],[1,2,87],[1,3,90],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(0,2)=13,(0,1)=42,(2,3)=49,(1,2)=87,(1,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=49 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=87 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,69],[0,2,77],[0,3,90],[0,4,70],[1,2,79],[1,3,29],[1,4,18],[2,3,57],[2,4,14],[3,4,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,77],[0,3,90],[0,4,70],[1,2,79],[1,3,29],[1,4,18],[2,3,57],[2,4,14],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,77],[0,3,90],[0,4,70],[1,2,79],[1,3,29],[1,4,18],[2,3,57],[2,4,14],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,4)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,77],[0,3,90],[0,4,70],[1,2,79],[1,3,29],[1,4,18],[2,3,57],[2,4,14],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=14, w=14\",\"Add (1,4)=18, w=32\",\"Add (1,3)=29, w=61\",\"Add (0,1)=69, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,77],[0,3,90],[0,4,70],[1,2,79],[1,3,29],[1,4,18],[2,3,57],[2,4,14],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=14 Succeeded, w=14\",\"Add (1,4)=18 Succeeded, w=32\",\"Add (1,3)=29 Succeeded, w=61\",\"Add (3,4)=52 Failed, w=61\",\"Add (2,3)=57 Failed, w=61\",\"Add (0,1)=69 Succeeded, w=130\",\"Add (0,4)=70 Failed, w=130\",\"Add (0,2)=77 Failed, w=130\",\"Add (1,2)=79 Failed, w=130\",\"Add (0,3)=90 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,77],[0,3,90],[0,4,70],[1,2,79],[1,3,29],[1,4,18],[2,3,57],[2,4,14],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=14,(1,4)=18,(1,3)=29,(3,4)=52,(2,3)=57,(0,1)=69,(0,4)=70,(0,2)=77,(1,2)=79,(0,3)=90]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=14\",\"Find(1)=1, Find(4)=2, Add (1,4)=18 Succeeded, w=32\",\"Find(1)=2, Find(3)=3, Add (1,3)=29 Succeeded, w=61\",\"Find(3)=2, Find(4)=2, Add (3,4)=52 Failed, w=61\",\"Find(2)=2, Find(3)=2, Add (2,3)=57 Failed, w=61\",\"Find(0)=0, Find(1)=2, Add (0,1)=69 Succeeded, w=130\",\"Find(0)=2, Find(4)=2, Add (0,4)=70 Failed, w=130\",\"Find(0)=2, Find(2)=2, Add (0,2)=77 Failed, w=130\",\"Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=130\",\"Find(0)=2, Find(3)=2, Add (0,3)=90 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,77],[0,3,90],[0,4,70],[1,2,79],[1,3,29],[1,4,18],[2,3,57],[2,4,14],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=14,(1,4)=18,(1,3)=29,(3,4)=52,(2,3)=57,(0,1)=69,(0,4)=70,(0,2)=77,(1,2)=79,(0,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=18 Succeeded, w=32\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=3, Add (1,3)=29 Succeeded, w=61\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=52 Failed, w=61\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=2, Add (2,3)=57 Failed, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(1)=2, Add (0,1)=69 Succeeded, w=130\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=70 Failed, w=130\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=77 Failed, w=130\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=130\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=90 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,68],[0,5,71],[0,6,66],[1,2,98],[1,4,53],[1,6,31],[2,4,13],[5,6,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,68],[0,5,71],[0,6,66],[1,2,98],[1,4,53],[1,6,31],[2,4,13],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,68],[0,5,71],[0,6,66],[1,2,98],[1,4,53],[1,6,31],[2,4,13],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,6)\",\"Add (5,6)\",\"Add (1,4)\",\"Add (0,6)\",\"Add (0,3)\"],\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,68],[0,5,71],[0,6,66],[1,2,98],[1,4,53],[1,6,31],[2,4,13],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=13, w=13\",\"Add (1,6)=31, w=44\",\"Add (5,6)=35, w=79\",\"Add (1,4)=53, w=132\",\"Add (0,6)=66, w=198\",\"Add (0,3)=68, w=266\"],\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,68],[0,5,71],[0,6,66],[1,2,98],[1,4,53],[1,6,31],[2,4,13],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=13 Succeeded, w=13\",\"Add (1,6)=31 Succeeded, w=44\",\"Add (5,6)=35 Succeeded, w=79\",\"Add (1,4)=53 Succeeded, w=132\",\"Add (0,6)=66 Succeeded, w=198\",\"Add (0,3)=68 Succeeded, w=266\",\"Add (0,5)=71 Failed, w=266\",\"Add (1,2)=98 Failed, w=266\"],\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,68],[0,5,71],[0,6,66],[1,2,98],[1,4,53],[1,6,31],[2,4,13],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=13,(1,6)=31,(5,6)=35,(1,4)=53,(0,6)=66,(0,3)=68,(0,5)=71,(1,2)=98]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=13 Succeeded, w=13\",\"Find(1)=1, Find(6)=6, Add (1,6)=31 Succeeded, w=44\",\"Find(5)=5, Find(6)=1, Add (5,6)=35 Succeeded, w=79\",\"Find(1)=1, Find(4)=2, Add (1,4)=53 Succeeded, w=132\",\"Find(0)=0, Find(6)=1, Add (0,6)=66 Succeeded, w=198\",\"Find(0)=1, Find(3)=3, Add (0,3)=68 Succeeded, w=266\",\"Find(0)=1, Find(5)=1, Add (0,5)=71 Failed, w=266\",\"Find(1)=1, Find(2)=1, Add (1,2)=98 Failed, w=266\"],\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,68],[0,5,71],[0,6,66],[1,2,98],[1,4,53],[1,6,31],[2,4,13],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=13,(1,6)=31,(5,6)=35,(1,4)=53,(0,6)=66,(0,3)=68,(0,5)=71,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=31 Succeeded, w=44\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 1}, Find(5)=5, Find(6)=1, Add (5,6)=35 Succeeded, w=79\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 2, 5: 1, 6: 1}, Find(1)=1, Find(4)=2, Add (1,4)=53 Succeeded, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 2, 5: 1, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=66 Succeeded, w=198\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1}, Find(0)=1, Find(3)=3, Add (0,3)=68 Succeeded, w=266\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=71 Failed, w=266\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=98 Failed, w=266\"],\"Answer\":266}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,66],[0,3,7],[0,5,76],[0,6,27],[0,7,90],[1,2,2],[1,4,74],[1,5,86],[1,7,90],[2,4,46],[2,6,20],[2,7,83],[3,4,71],[3,5,97],[3,6,14],[3,7,99],[4,5,91],[4,7,65],[5,6,79],[5,7,35],[6,7,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,66],[0,3,7],[0,5,76],[0,6,27],[0,7,90],[1,2,2],[1,4,74],[1,5,86],[1,7,90],[2,4,46],[2,6,20],[2,7,83],[3,4,71],[3,5,97],[3,6,14],[3,7,99],[4,5,91],[4,7,65],[5,6,79],[5,7,35],[6,7,3]]}",
"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\":[[0,2,66],[0,3,7],[0,5,76],[0,6,27],[0,7,90],[1,2,2],[1,4,74],[1,5,86],[1,7,90],[2,4,46],[2,6,20],[2,7,83],[3,4,71],[3,5,97],[3,6,14],[3,7,99],[4,5,91],[4,7,65],[5,6,79],[5,7,35],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (6,7)\",\"Add (0,3)\",\"Add (3,6)\",\"Add (2,6)\",\"Add (5,7)\",\"Add (2,4)\"],\"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\":[[0,2,66],[0,3,7],[0,5,76],[0,6,27],[0,7,90],[1,2,2],[1,4,74],[1,5,86],[1,7,90],[2,4,46],[2,6,20],[2,7,83],[3,4,71],[3,5,97],[3,6,14],[3,7,99],[4,5,91],[4,7,65],[5,6,79],[5,7,35],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2, w=2\",\"Add (6,7)=3, w=5\",\"Add (0,3)=7, w=12\",\"Add (3,6)=14, w=26\",\"Add (2,6)=20, w=46\",\"Add (5,7)=35, w=81\",\"Add (2,4)=46, 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\":[[0,2,66],[0,3,7],[0,5,76],[0,6,27],[0,7,90],[1,2,2],[1,4,74],[1,5,86],[1,7,90],[2,4,46],[2,6,20],[2,7,83],[3,4,71],[3,5,97],[3,6,14],[3,7,99],[4,5,91],[4,7,65],[5,6,79],[5,7,35],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2 Succeeded, w=2\",\"Add (6,7)=3 Succeeded, w=5\",\"Add (0,3)=7 Succeeded, w=12\",\"Add (3,6)=14 Succeeded, w=26\",\"Add (2,6)=20 Succeeded, w=46\",\"Add (0,6)=27 Failed, w=46\",\"Add (5,7)=35 Succeeded, w=81\",\"Add (2,4)=46 Succeeded, w=127\",\"Add (4,7)=65 Failed, w=127\",\"Add (0,2)=66 Failed, w=127\",\"Add (3,4)=71 Failed, w=127\",\"Add (1,4)=74 Failed, w=127\",\"Add (0,5)=76 Failed, w=127\",\"Add (5,6)=79 Failed, w=127\",\"Add (2,7)=83 Failed, w=127\",\"Add (1,5)=86 Failed, w=127\",\"Add (0,7)=90 Failed, w=127\",\"Add (1,7)=90 Failed, w=127\",\"Add (4,5)=91 Failed, w=127\",\"Add (3,5)=97 Failed, w=127\",\"Add (3,7)=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\":[[0,2,66],[0,3,7],[0,5,76],[0,6,27],[0,7,90],[1,2,2],[1,4,74],[1,5,86],[1,7,90],[2,4,46],[2,6,20],[2,7,83],[3,4,71],[3,5,97],[3,6,14],[3,7,99],[4,5,91],[4,7,65],[5,6,79],[5,7,35],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(6,7)=3,(0,3)=7,(3,6)=14,(2,6)=20,(0,6)=27,(5,7)=35,(2,4)=46,(4,7)=65,(0,2)=66,(3,4)=71,(1,4)=74,(0,5)=76,(5,6)=79,(2,7)=83,(1,5)=86,(0,7)=90,(1,7)=90,(4,5)=91,(3,5)=97,(3,7)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Find(6)=6, Find(7)=7, Add (6,7)=3 Succeeded, w=5\",\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=12\",\"Find(3)=0, Find(6)=6, Add (3,6)=14 Succeeded, w=26\",\"Find(2)=1, Find(6)=0, Add (2,6)=20 Succeeded, w=46\",\"Find(0)=0, Find(6)=0, Add (0,6)=27 Failed, w=46\",\"Find(5)=5, Find(7)=0, Add (5,7)=35 Succeeded, w=81\",\"Find(2)=0, Find(4)=4, Add (2,4)=46 Succeeded, w=127\",\"Find(4)=0, Find(7)=0, Add (4,7)=65 Failed, w=127\",\"Find(0)=0, Find(2)=0, Add (0,2)=66 Failed, w=127\",\"Find(3)=0, Find(4)=0, Add (3,4)=71 Failed, w=127\",\"Find(1)=0, Find(4)=0, Add (1,4)=74 Failed, w=127\",\"Find(0)=0, Find(5)=0, Add (0,5)=76 Failed, w=127\",\"Find(5)=0, Find(6)=0, Add (5,6)=79 Failed, w=127\",\"Find(2)=0, Find(7)=0, Add (2,7)=83 Failed, w=127\",\"Find(1)=0, Find(5)=0, Add (1,5)=86 Failed, w=127\",\"Find(0)=0, Find(7)=0, Add (0,7)=90 Failed, w=127\",\"Find(1)=0, Find(7)=0, Add (1,7)=90 Failed, w=127\",\"Find(4)=0, Find(5)=0, Add (4,5)=91 Failed, w=127\",\"Find(3)=0, Find(5)=0, Add (3,5)=97 Failed, w=127\",\"Find(3)=0, Find(7)=0, Add (3,7)=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\":[[0,2,66],[0,3,7],[0,5,76],[0,6,27],[0,7,90],[1,2,2],[1,4,74],[1,5,86],[1,7,90],[2,4,46],[2,6,20],[2,7,83],[3,4,71],[3,5,97],[3,6,14],[3,7,99],[4,5,91],[4,7,65],[5,6,79],[5,7,35],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(6,7)=3,(0,3)=7,(3,6)=14,(2,6)=20,(0,6)=27,(5,7)=35,(2,4)=46,(4,7)=65,(0,2)=66,(3,4)=71,(1,4)=74,(0,5)=76,(5,6)=79,(2,7)=83,(1,5)=86,(0,7)=90,(1,7)=90,(4,5)=91,(3,5)=97,(3,7)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 5, 6: 6, 7: 6}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 5, 6: 0, 7: 6}, Find(3)=0, Find(6)=6, Add (3,6)=14 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 4, 5: 5, 6: 0, 7: 6}, Find(2)=1, Find(6)=0, Add (2,6)=20 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 4, 5: 5, 6: 0, 7: 6}, Find(0)=0, Find(6)=0, Add (0,6)=27 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(5)=5, Find(7)=0, Add (5,7)=35 Succeeded, w=81\",\"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)=46 Succeeded, 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)=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(2)=0, Add (0,2)=66 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)=71 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)=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(5)=0, Add (0,5)=76 Failed, w=127\",\"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)=79 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)=83 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)=86 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)=90 Failed, w=127\",\"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)=90 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)=91 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)=97 Failed, w=127\",\"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)=99 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,46],[0,2,18],[0,4,10],[0,5,82],[1,3,59],[1,4,23],[1,5,66],[1,6,56],[2,3,17],[3,5,32],[3,6,44],[4,5,92],[4,6,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,18],[0,4,10],[0,5,82],[1,3,59],[1,4,23],[1,5,66],[1,6,56],[2,3,17],[3,5,32],[3,6,44],[4,5,92],[4,6,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,18],[0,4,10],[0,5,82],[1,3,59],[1,4,23],[1,5,66],[1,6,56],[2,3,17],[3,5,32],[3,6,44],[4,5,92],[4,6,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (3,5)\",\"Add (3,6)\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,18],[0,4,10],[0,5,82],[1,3,59],[1,4,23],[1,5,66],[1,6,56],[2,3,17],[3,5,32],[3,6,44],[4,5,92],[4,6,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=10, w=10\",\"Add (2,3)=17, w=27\",\"Add (0,2)=18, w=45\",\"Add (1,4)=23, w=68\",\"Add (3,5)=32, w=100\",\"Add (3,6)=44, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,18],[0,4,10],[0,5,82],[1,3,59],[1,4,23],[1,5,66],[1,6,56],[2,3,17],[3,5,32],[3,6,44],[4,5,92],[4,6,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=10 Succeeded, w=10\",\"Add (2,3)=17 Succeeded, w=27\",\"Add (0,2)=18 Succeeded, w=45\",\"Add (1,4)=23 Succeeded, w=68\",\"Add (3,5)=32 Succeeded, w=100\",\"Add (3,6)=44 Succeeded, w=144\",\"Add (0,1)=46 Failed, w=144\",\"Add (1,6)=56 Failed, w=144\",\"Add (1,3)=59 Failed, w=144\",\"Add (1,5)=66 Failed, w=144\",\"Add (4,6)=81 Failed, w=144\",\"Add (0,5)=82 Failed, w=144\",\"Add (4,5)=92 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,18],[0,4,10],[0,5,82],[1,3,59],[1,4,23],[1,5,66],[1,6,56],[2,3,17],[3,5,32],[3,6,44],[4,5,92],[4,6,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=10,(2,3)=17,(0,2)=18,(1,4)=23,(3,5)=32,(3,6)=44,(0,1)=46,(1,6)=56,(1,3)=59,(1,5)=66,(4,6)=81,(0,5)=82,(4,5)=92]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=10\",\"Find(2)=2, Find(3)=3, Add (2,3)=17 Succeeded, w=27\",\"Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=45\",\"Find(1)=1, Find(4)=0, Add (1,4)=23 Succeeded, w=68\",\"Find(3)=0, Find(5)=5, Add (3,5)=32 Succeeded, w=100\",\"Find(3)=0, Find(6)=6, Add (3,6)=44 Succeeded, w=144\",\"Find(0)=0, Find(1)=0, Add (0,1)=46 Failed, w=144\",\"Find(1)=0, Find(6)=0, Add (1,6)=56 Failed, w=144\",\"Find(1)=0, Find(3)=0, Add (1,3)=59 Failed, w=144\",\"Find(1)=0, Find(5)=0, Add (1,5)=66 Failed, w=144\",\"Find(4)=0, Find(6)=0, Add (4,6)=81 Failed, w=144\",\"Find(0)=0, Find(5)=0, Add (0,5)=82 Failed, w=144\",\"Find(4)=0, Find(5)=0, Add (4,5)=92 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,18],[0,4,10],[0,5,82],[1,3,59],[1,4,23],[1,5,66],[1,6,56],[2,3,17],[3,5,32],[3,6,44],[4,5,92],[4,6,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=10,(2,3)=17,(0,2)=18,(1,4)=23,(3,5)=32,(3,6)=44,(0,1)=46,(1,6)=56,(1,3)=59,(1,5)=66,(4,6)=81,(0,5)=82,(4,5)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=17 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 5, 6: 6}, Find(1)=1, Find(4)=0, Add (1,4)=23 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(3)=0, Find(5)=5, Add (3,5)=32 Succeeded, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=6, Add (3,6)=44 Succeeded, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=46 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=56 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=59 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=66 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=81 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=82 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=92 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,53],[0,3,89],[0,4,10],[0,5,41],[1,3,98],[1,4,74],[1,6,32],[2,5,39],[3,4,41],[3,5,63],[4,5,26],[4,6,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,53],[0,3,89],[0,4,10],[0,5,41],[1,3,98],[1,4,74],[1,6,32],[2,5,39],[3,4,41],[3,5,63],[4,5,26],[4,6,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":222}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,53],[0,3,89],[0,4,10],[0,5,41],[1,3,98],[1,4,74],[1,6,32],[2,5,39],[3,4,41],[3,5,63],[4,5,26],[4,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (4,5)\",\"Add (1,6)\",\"Add (2,5)\",\"Add (3,4)\",\"Add (1,4)\"],\"Answer\":222}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,53],[0,3,89],[0,4,10],[0,5,41],[1,3,98],[1,4,74],[1,6,32],[2,5,39],[3,4,41],[3,5,63],[4,5,26],[4,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=10, w=10\",\"Add (4,5)=26, w=36\",\"Add (1,6)=32, w=68\",\"Add (2,5)=39, w=107\",\"Add (3,4)=41, w=148\",\"Add (1,4)=74, w=222\"],\"Answer\":222}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,53],[0,3,89],[0,4,10],[0,5,41],[1,3,98],[1,4,74],[1,6,32],[2,5,39],[3,4,41],[3,5,63],[4,5,26],[4,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=10 Succeeded, w=10\",\"Add (4,5)=26 Succeeded, w=36\",\"Add (1,6)=32 Succeeded, w=68\",\"Add (2,5)=39 Succeeded, w=107\",\"Add (0,5)=41 Failed, w=107\",\"Add (3,4)=41 Succeeded, w=148\",\"Add (0,2)=53 Failed, w=148\",\"Add (3,5)=63 Failed, w=148\",\"Add (1,4)=74 Succeeded, w=222\",\"Add (4,6)=83 Failed, w=222\",\"Add (0,3)=89 Failed, w=222\",\"Add (1,3)=98 Failed, w=222\"],\"Answer\":222}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,53],[0,3,89],[0,4,10],[0,5,41],[1,3,98],[1,4,74],[1,6,32],[2,5,39],[3,4,41],[3,5,63],[4,5,26],[4,6,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=10,(4,5)=26,(1,6)=32,(2,5)=39,(0,5)=41,(3,4)=41,(0,2)=53,(3,5)=63,(1,4)=74,(4,6)=83,(0,3)=89,(1,3)=98]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=10\",\"Find(4)=0, Find(5)=5, Add (4,5)=26 Succeeded, w=36\",\"Find(1)=1, Find(6)=6, Add (1,6)=32 Succeeded, w=68\",\"Find(2)=2, Find(5)=0, Add (2,5)=39 Succeeded, w=107\",\"Find(0)=0, Find(5)=0, Add (0,5)=41 Failed, w=107\",\"Find(3)=3, Find(4)=0, Add (3,4)=41 Succeeded, w=148\",\"Find(0)=0, Find(2)=0, Add (0,2)=53 Failed, w=148\",\"Find(3)=0, Find(5)=0, Add (3,5)=63 Failed, w=148\",\"Find(1)=1, Find(4)=0, Add (1,4)=74 Succeeded, w=222\",\"Find(4)=1, Find(6)=1, Add (4,6)=83 Failed, w=222\",\"Find(0)=1, Find(3)=1, Add (0,3)=89 Failed, w=222\",\"Find(1)=1, Find(3)=1, Add (1,3)=98 Failed, w=222\"],\"Answer\":222}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,53],[0,3,89],[0,4,10],[0,5,41],[1,3,98],[1,4,74],[1,6,32],[2,5,39],[3,4,41],[3,5,63],[4,5,26],[4,6,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=10,(4,5)=26,(1,6)=32,(2,5)=39,(0,5)=41,(3,4)=41,(0,2)=53,(3,5)=63,(1,4)=74,(4,6)=83,(0,3)=89,(1,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6}, Find(4)=0, Find(5)=5, Add (4,5)=26 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=32 Succeeded, w=68\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 1}, Find(2)=2, Find(5)=0, Add (2,5)=39 Succeeded, w=107\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 1}, Find(0)=0, Find(5)=0, Add (0,5)=41 Failed, w=107\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(3)=3, Find(4)=0, Add (3,4)=41 Succeeded, w=148\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(0)=0, Find(2)=0, Add (0,2)=53 Failed, w=148\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(3)=0, Find(5)=0, Add (3,5)=63 Failed, w=148\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(1)=1, Find(4)=0, Add (1,4)=74 Succeeded, w=222\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 1, 5: 0, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=83 Failed, w=222\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=89 Failed, w=222\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=98 Failed, w=222\"],\"Answer\":222}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,82],[0,2,9],[0,3,12],[0,4,62],[0,5,62],[1,2,22],[1,3,27],[1,4,62],[1,5,61],[2,3,78],[2,4,65],[2,5,29],[2,6,60],[3,5,14],[4,5,54],[5,6,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,9],[0,3,12],[0,4,62],[0,5,62],[1,2,22],[1,3,27],[1,4,62],[1,5,61],[2,3,78],[2,4,65],[2,5,29],[2,6,60],[3,5,14],[4,5,54],[5,6,79]]}",
"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],\"edges\":[[0,1,82],[0,2,9],[0,3,12],[0,4,62],[0,5,62],[1,2,22],[1,3,27],[1,4,62],[1,5,61],[2,3,78],[2,4,65],[2,5,29],[2,6,60],[3,5,14],[4,5,54],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (3,5)\",\"Add (1,2)\",\"Add (4,5)\",\"Add (2,6)\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,9],[0,3,12],[0,4,62],[0,5,62],[1,2,22],[1,3,27],[1,4,62],[1,5,61],[2,3,78],[2,4,65],[2,5,29],[2,6,60],[3,5,14],[4,5,54],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9, w=9\",\"Add (0,3)=12, w=21\",\"Add (3,5)=14, w=35\",\"Add (1,2)=22, w=57\",\"Add (4,5)=54, w=111\",\"Add (2,6)=60, 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],\"edges\":[[0,1,82],[0,2,9],[0,3,12],[0,4,62],[0,5,62],[1,2,22],[1,3,27],[1,4,62],[1,5,61],[2,3,78],[2,4,65],[2,5,29],[2,6,60],[3,5,14],[4,5,54],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9 Succeeded, w=9\",\"Add (0,3)=12 Succeeded, w=21\",\"Add (3,5)=14 Succeeded, w=35\",\"Add (1,2)=22 Succeeded, w=57\",\"Add (1,3)=27 Failed, w=57\",\"Add (2,5)=29 Failed, w=57\",\"Add (4,5)=54 Succeeded, w=111\",\"Add (2,6)=60 Succeeded, w=171\",\"Add (1,5)=61 Failed, w=171\",\"Add (0,4)=62 Failed, w=171\",\"Add (0,5)=62 Failed, w=171\",\"Add (1,4)=62 Failed, w=171\",\"Add (2,4)=65 Failed, w=171\",\"Add (2,3)=78 Failed, w=171\",\"Add (5,6)=79 Failed, w=171\",\"Add (0,1)=82 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],\"edges\":[[0,1,82],[0,2,9],[0,3,12],[0,4,62],[0,5,62],[1,2,22],[1,3,27],[1,4,62],[1,5,61],[2,3,78],[2,4,65],[2,5,29],[2,6,60],[3,5,14],[4,5,54],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(0,3)=12,(3,5)=14,(1,2)=22,(1,3)=27,(2,5)=29,(4,5)=54,(2,6)=60,(1,5)=61,(0,4)=62,(0,5)=62,(1,4)=62,(2,4)=65,(2,3)=78,(5,6)=79,(0,1)=82]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=21\",\"Find(3)=0, Find(5)=5, Add (3,5)=14 Succeeded, w=35\",\"Find(1)=1, Find(2)=0, Add (1,2)=22 Succeeded, w=57\",\"Find(1)=0, Find(3)=0, Add (1,3)=27 Failed, w=57\",\"Find(2)=0, Find(5)=0, Add (2,5)=29 Failed, w=57\",\"Find(4)=4, Find(5)=0, Add (4,5)=54 Succeeded, w=111\",\"Find(2)=0, Find(6)=6, Add (2,6)=60 Succeeded, w=171\",\"Find(1)=0, Find(5)=0, Add (1,5)=61 Failed, w=171\",\"Find(0)=0, Find(4)=0, Add (0,4)=62 Failed, w=171\",\"Find(0)=0, Find(5)=0, Add (0,5)=62 Failed, w=171\",\"Find(1)=0, Find(4)=0, Add (1,4)=62 Failed, w=171\",\"Find(2)=0, Find(4)=0, Add (2,4)=65 Failed, w=171\",\"Find(2)=0, Find(3)=0, Add (2,3)=78 Failed, w=171\",\"Find(5)=0, Find(6)=0, Add (5,6)=79 Failed, w=171\",\"Find(0)=0, Find(1)=0, Add (0,1)=82 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],\"edges\":[[0,1,82],[0,2,9],[0,3,12],[0,4,62],[0,5,62],[1,2,22],[1,3,27],[1,4,62],[1,5,61],[2,3,78],[2,4,65],[2,5,29],[2,6,60],[3,5,14],[4,5,54],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(0,3)=12,(3,5)=14,(1,2)=22,(1,3)=27,(2,5)=29,(4,5)=54,(2,6)=60,(1,5)=61,(0,4)=62,(0,5)=62,(1,4)=62,(2,4)=65,(2,3)=78,(5,6)=79,(0,1)=82]\",\"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: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6}, Find(3)=0, Find(5)=5, Add (3,5)=14 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6}, Find(1)=1, Find(2)=0, Add (1,2)=22 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6}, Find(1)=0, Find(3)=0, Add (1,3)=27 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6}, Find(2)=0, Find(5)=0, Add (2,5)=29 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(4)=4, Find(5)=0, Add (4,5)=54 Succeeded, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=6, Add (2,6)=60 Succeeded, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=61 Failed, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=62 Failed, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=62 Failed, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=62 Failed, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=65 Failed, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=78 Failed, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=79 Failed, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=82 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,4,52],[1,2,26],[1,3,40],[1,4,22],[2,3,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,52],[1,2,26],[1,3,40],[1,4,22],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,52],[1,2,26],[1,3,40],[1,4,22],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,52],[1,2,26],[1,3,40],[1,4,22],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=22, w=22\",\"Add (1,2)=26, w=48\",\"Add (1,3)=40, w=88\",\"Add (0,4)=52, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,52],[1,2,26],[1,3,40],[1,4,22],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=22 Succeeded, w=22\",\"Add (1,2)=26 Succeeded, w=48\",\"Add (1,3)=40 Succeeded, w=88\",\"Add (0,4)=52 Succeeded, w=140\",\"Add (2,3)=91 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,52],[1,2,26],[1,3,40],[1,4,22],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=22,(1,2)=26,(1,3)=40,(0,4)=52,(2,3)=91]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=22 Succeeded, w=22\",\"Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=48\",\"Find(1)=1, Find(3)=3, Add (1,3)=40 Succeeded, w=88\",\"Find(0)=0, Find(4)=1, Add (0,4)=52 Succeeded, w=140\",\"Find(2)=1, Find(3)=1, Add (2,3)=91 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,52],[1,2,26],[1,3,40],[1,4,22],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=22,(1,2)=26,(1,3)=40,(0,4)=52,(2,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=40 Succeeded, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(0)=0, Find(4)=1, Add (0,4)=52 Succeeded, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(2)=1, Find(3)=1, Add (2,3)=91 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,39],[0,2,7],[0,3,30],[0,4,50],[0,5,15],[0,6,96],[1,2,72],[1,3,31],[1,4,19],[1,6,29],[2,3,67],[2,4,72],[2,5,77],[2,6,80],[3,4,59],[3,5,69],[3,6,24],[4,5,51],[4,6,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,7],[0,3,30],[0,4,50],[0,5,15],[0,6,96],[1,2,72],[1,3,31],[1,4,19],[1,6,29],[2,3,67],[2,4,72],[2,5,77],[2,6,80],[3,4,59],[3,5,69],[3,6,24],[4,5,51],[4,6,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,7],[0,3,30],[0,4,50],[0,5,15],[0,6,96],[1,2,72],[1,3,31],[1,4,19],[1,6,29],[2,3,67],[2,4,72],[2,5,77],[2,6,80],[3,4,59],[3,5,69],[3,6,24],[4,5,51],[4,6,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,5)\",\"Add (1,4)\",\"Add (3,6)\",\"Add (1,6)\",\"Add (0,3)\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,7],[0,3,30],[0,4,50],[0,5,15],[0,6,96],[1,2,72],[1,3,31],[1,4,19],[1,6,29],[2,3,67],[2,4,72],[2,5,77],[2,6,80],[3,4,59],[3,5,69],[3,6,24],[4,5,51],[4,6,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7, w=7\",\"Add (0,5)=15, w=22\",\"Add (1,4)=19, w=41\",\"Add (3,6)=24, w=65\",\"Add (1,6)=29, w=94\",\"Add (0,3)=30, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,7],[0,3,30],[0,4,50],[0,5,15],[0,6,96],[1,2,72],[1,3,31],[1,4,19],[1,6,29],[2,3,67],[2,4,72],[2,5,77],[2,6,80],[3,4,59],[3,5,69],[3,6,24],[4,5,51],[4,6,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7 Succeeded, w=7\",\"Add (0,5)=15 Succeeded, w=22\",\"Add (1,4)=19 Succeeded, w=41\",\"Add (3,6)=24 Succeeded, w=65\",\"Add (1,6)=29 Succeeded, w=94\",\"Add (0,3)=30 Succeeded, w=124\",\"Add (1,3)=31 Failed, w=124\",\"Add (0,1)=39 Failed, w=124\",\"Add (0,4)=50 Failed, w=124\",\"Add (4,5)=51 Failed, w=124\",\"Add (3,4)=59 Failed, w=124\",\"Add (2,3)=67 Failed, w=124\",\"Add (3,5)=69 Failed, w=124\",\"Add (1,2)=72 Failed, w=124\",\"Add (2,4)=72 Failed, w=124\",\"Add (2,5)=77 Failed, w=124\",\"Add (2,6)=80 Failed, w=124\",\"Add (4,6)=81 Failed, w=124\",\"Add (0,6)=96 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,7],[0,3,30],[0,4,50],[0,5,15],[0,6,96],[1,2,72],[1,3,31],[1,4,19],[1,6,29],[2,3,67],[2,4,72],[2,5,77],[2,6,80],[3,4,59],[3,5,69],[3,6,24],[4,5,51],[4,6,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(0,5)=15,(1,4)=19,(3,6)=24,(1,6)=29,(0,3)=30,(1,3)=31,(0,1)=39,(0,4)=50,(4,5)=51,(3,4)=59,(2,3)=67,(3,5)=69,(1,2)=72,(2,4)=72,(2,5)=77,(2,6)=80,(4,6)=81,(0,6)=96]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Find(0)=0, Find(5)=5, Add (0,5)=15 Succeeded, w=22\",\"Find(1)=1, Find(4)=4, Add (1,4)=19 Succeeded, w=41\",\"Find(3)=3, Find(6)=6, Add (3,6)=24 Succeeded, w=65\",\"Find(1)=1, Find(6)=3, Add (1,6)=29 Succeeded, w=94\",\"Find(0)=0, Find(3)=1, Add (0,3)=30 Succeeded, w=124\",\"Find(1)=1, Find(3)=1, Add (1,3)=31 Failed, w=124\",\"Find(0)=1, Find(1)=1, Add (0,1)=39 Failed, w=124\",\"Find(0)=1, Find(4)=1, Add (0,4)=50 Failed, w=124\",\"Find(4)=1, Find(5)=1, Add (4,5)=51 Failed, w=124\",\"Find(3)=1, Find(4)=1, Add (3,4)=59 Failed, w=124\",\"Find(2)=1, Find(3)=1, Add (2,3)=67 Failed, w=124\",\"Find(3)=1, Find(5)=1, Add (3,5)=69 Failed, w=124\",\"Find(1)=1, Find(2)=1, Add (1,2)=72 Failed, w=124\",\"Find(2)=1, Find(4)=1, Add (2,4)=72 Failed, w=124\",\"Find(2)=1, Find(5)=1, Add (2,5)=77 Failed, w=124\",\"Find(2)=1, Find(6)=1, Add (2,6)=80 Failed, w=124\",\"Find(4)=1, Find(6)=1, Add (4,6)=81 Failed, w=124\",\"Find(0)=1, Find(6)=1, Add (0,6)=96 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,7],[0,3,30],[0,4,50],[0,5,15],[0,6,96],[1,2,72],[1,3,31],[1,4,19],[1,6,29],[2,3,67],[2,4,72],[2,5,77],[2,6,80],[3,4,59],[3,5,69],[3,6,24],[4,5,51],[4,6,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(0,5)=15,(1,4)=19,(3,6)=24,(1,6)=29,(0,3)=30,(1,3)=31,(0,1)=39,(0,4)=50,(4,5)=51,(3,4)=59,(2,3)=67,(3,5)=69,(1,2)=72,(2,4)=72,(2,5)=77,(2,6)=80,(4,6)=81,(0,6)=96]\",\"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)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=15 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 0, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=19 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 0, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=24 Succeeded, w=65\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 0, 6: 3}, Find(1)=1, Find(6)=3, Add (1,6)=29 Succeeded, w=94\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 0, 6: 3}, Find(0)=0, Find(3)=1, Add (0,3)=30 Succeeded, w=124\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 0, 6: 3}, Find(1)=1, Find(3)=1, Add (1,3)=31 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 0, 6: 3}, Find(0)=1, Find(1)=1, Add (0,1)=39 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 0, 6: 3}, Find(0)=1, Find(4)=1, Add (0,4)=50 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 3}, Find(4)=1, Find(5)=1, Add (4,5)=51 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 3}, Find(3)=1, Find(4)=1, Add (3,4)=59 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(2)=1, Find(3)=1, Add (2,3)=67 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(3)=1, Find(5)=1, Add (3,5)=69 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(1)=1, Find(2)=1, Add (1,2)=72 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(2)=1, Find(4)=1, Add (2,4)=72 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(2)=1, Find(5)=1, Add (2,5)=77 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=80 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=81 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=96 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,87],[0,3,35],[0,4,8],[1,4,86],[1,5,52],[1,6,1],[2,5,10],[3,4,73],[4,5,58],[4,6,11],[5,6,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,87],[0,3,35],[0,4,8],[1,4,86],[1,5,52],[1,6,1],[2,5,10],[3,4,73],[4,5,58],[4,6,11],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,87],[0,3,35],[0,4,8],[1,4,86],[1,5,52],[1,6,1],[2,5,10],[3,4,73],[4,5,58],[4,6,11],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (0,4)\",\"Add (2,5)\",\"Add (4,6)\",\"Add (0,3)\",\"Add (5,6)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,87],[0,3,35],[0,4,8],[1,4,86],[1,5,52],[1,6,1],[2,5,10],[3,4,73],[4,5,58],[4,6,11],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=1, w=1\",\"Add (0,4)=8, w=9\",\"Add (2,5)=10, w=19\",\"Add (4,6)=11, w=30\",\"Add (0,3)=35, w=65\",\"Add (5,6)=45, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,87],[0,3,35],[0,4,8],[1,4,86],[1,5,52],[1,6,1],[2,5,10],[3,4,73],[4,5,58],[4,6,11],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=1 Succeeded, w=1\",\"Add (0,4)=8 Succeeded, w=9\",\"Add (2,5)=10 Succeeded, w=19\",\"Add (4,6)=11 Succeeded, w=30\",\"Add (0,3)=35 Succeeded, w=65\",\"Add (5,6)=45 Succeeded, w=110\",\"Add (1,5)=52 Failed, w=110\",\"Add (4,5)=58 Failed, w=110\",\"Add (3,4)=73 Failed, w=110\",\"Add (1,4)=86 Failed, w=110\",\"Add (0,1)=87 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,87],[0,3,35],[0,4,8],[1,4,86],[1,5,52],[1,6,1],[2,5,10],[3,4,73],[4,5,58],[4,6,11],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=1,(0,4)=8,(2,5)=10,(4,6)=11,(0,3)=35,(5,6)=45,(1,5)=52,(4,5)=58,(3,4)=73,(1,4)=86,(0,1)=87]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=1 Succeeded, w=1\",\"Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=9\",\"Find(2)=2, Find(5)=5, Add (2,5)=10 Succeeded, w=19\",\"Find(4)=0, Find(6)=1, Add (4,6)=11 Succeeded, w=30\",\"Find(0)=0, Find(3)=3, Add (0,3)=35 Succeeded, w=65\",\"Find(5)=2, Find(6)=0, Add (5,6)=45 Succeeded, w=110\",\"Find(1)=0, Find(5)=0, Add (1,5)=52 Failed, w=110\",\"Find(4)=0, Find(5)=0, Add (4,5)=58 Failed, w=110\",\"Find(3)=0, Find(4)=0, Add (3,4)=73 Failed, w=110\",\"Find(1)=0, Find(4)=0, Add (1,4)=86 Failed, w=110\",\"Find(0)=0, Find(1)=0, Add (0,1)=87 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,87],[0,3,35],[0,4,8],[1,4,86],[1,5,52],[1,6,1],[2,5,10],[3,4,73],[4,5,58],[4,6,11],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=1,(0,4)=8,(2,5)=10,(4,6)=11,(0,3)=35,(5,6)=45,(1,5)=52,(4,5)=58,(3,4)=73,(1,4)=86,(0,1)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 1}, Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 2, 6: 1}, Find(2)=2, Find(5)=5, Add (2,5)=10 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 2, 6: 1}, Find(4)=0, Find(6)=1, Add (4,6)=11 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2, 6: 1}, Find(0)=0, Find(3)=3, Add (0,3)=35 Succeeded, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0}, Find(5)=2, Find(6)=0, Add (5,6)=45 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=52 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=58 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=73 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=86 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=87 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,54],[1,2,94],[2,3,66]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,54],[1,2,94],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,54],[1,2,94],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,54],[1,2,94],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=54, w=54\",\"Add (2,3)=66, w=120\",\"Add (1,2)=94, w=214\"],\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,54],[1,2,94],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=54 Succeeded, w=54\",\"Add (2,3)=66 Succeeded, w=120\",\"Add (1,2)=94 Succeeded, w=214\"],\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,54],[1,2,94],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=54,(2,3)=66,(1,2)=94]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=54 Succeeded, w=54\",\"Find(2)=0, Find(3)=3, Add (2,3)=66 Succeeded, w=120\",\"Find(1)=1, Find(2)=0, Add (1,2)=94 Succeeded, w=214\"],\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,54],[1,2,94],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=54,(2,3)=66,(1,2)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=54 Succeeded, w=54\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=66 Succeeded, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=94 Succeeded, w=214\"],\"Answer\":214}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,86],[0,2,6],[0,3,7],[0,6,35],[1,2,45],[1,3,25],[2,3,76],[2,4,6],[2,5,60],[3,5,5],[3,7,74],[5,7,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,6],[0,3,7],[0,6,35],[1,2,45],[1,3,25],[2,3,76],[2,4,6],[2,5,60],[3,5,5],[3,7,74],[5,7,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,6],[0,3,7],[0,6,35],[1,2,45],[1,3,25],[2,3,76],[2,4,6],[2,5,60],[3,5,5],[3,7,74],[5,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,2)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (1,3)\",\"Add (0,6)\",\"Add (3,7)\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,6],[0,3,7],[0,6,35],[1,2,45],[1,3,25],[2,3,76],[2,4,6],[2,5,60],[3,5,5],[3,7,74],[5,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=5, w=5\",\"Add (0,2)=6, w=11\",\"Add (2,4)=6, w=17\",\"Add (0,3)=7, w=24\",\"Add (1,3)=25, w=49\",\"Add (0,6)=35, w=84\",\"Add (3,7)=74, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,6],[0,3,7],[0,6,35],[1,2,45],[1,3,25],[2,3,76],[2,4,6],[2,5,60],[3,5,5],[3,7,74],[5,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=5 Succeeded, w=5\",\"Add (0,2)=6 Succeeded, w=11\",\"Add (2,4)=6 Succeeded, w=17\",\"Add (0,3)=7 Succeeded, w=24\",\"Add (1,3)=25 Succeeded, w=49\",\"Add (0,6)=35 Succeeded, w=84\",\"Add (1,2)=45 Failed, w=84\",\"Add (2,5)=60 Failed, w=84\",\"Add (3,7)=74 Succeeded, w=158\",\"Add (2,3)=76 Failed, w=158\",\"Add (5,7)=84 Failed, w=158\",\"Add (0,1)=86 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,6],[0,3,7],[0,6,35],[1,2,45],[1,3,25],[2,3,76],[2,4,6],[2,5,60],[3,5,5],[3,7,74],[5,7,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=5,(0,2)=6,(2,4)=6,(0,3)=7,(1,3)=25,(0,6)=35,(1,2)=45,(2,5)=60,(3,7)=74,(2,3)=76,(5,7)=84,(0,1)=86]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=5\",\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=11\",\"Find(2)=0, Find(4)=4, Add (2,4)=6 Succeeded, w=17\",\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=24\",\"Find(1)=1, Find(3)=0, Add (1,3)=25 Succeeded, w=49\",\"Find(0)=0, Find(6)=6, Add (0,6)=35 Succeeded, w=84\",\"Find(1)=0, Find(2)=0, Add (1,2)=45 Failed, w=84\",\"Find(2)=0, Find(5)=0, Add (2,5)=60 Failed, w=84\",\"Find(3)=0, Find(7)=7, Add (3,7)=74 Succeeded, w=158\",\"Find(2)=0, Find(3)=0, Add (2,3)=76 Failed, w=158\",\"Find(5)=0, Find(7)=0, Add (5,7)=84 Failed, w=158\",\"Find(0)=0, Find(1)=0, Add (0,1)=86 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,6],[0,3,7],[0,6,35],[1,2,45],[1,3,25],[2,3,76],[2,4,6],[2,5,60],[3,5,5],[3,7,74],[5,7,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=5,(0,2)=6,(2,4)=6,(0,3)=7,(1,3)=25,(0,6)=35,(1,2)=45,(2,5)=60,(3,7)=74,(2,3)=76,(5,7)=84,(0,1)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 3, 6: 6, 7: 7}, Find(2)=0, Find(4)=4, Add (2,4)=6 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 3, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 6, 7: 7}, Find(1)=1, Find(3)=0, Add (1,3)=25 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=35 Succeeded, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0, 7: 7}, Find(1)=0, Find(2)=0, Add (1,2)=45 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(2)=0, Find(5)=0, Add (2,5)=60 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=7, Add (3,7)=74 Succeeded, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=76 Failed, w=158\",\"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)=84 Failed, w=158\",\"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)=86 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,47],[0,3,15],[1,2,17],[1,3,3],[2,3,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,47],[0,3,15],[1,2,17],[1,3,3],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,47],[0,3,15],[1,2,17],[1,3,3],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,47],[0,3,15],[1,2,17],[1,3,3],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3, w=3\",\"Add (0,3)=15, w=18\",\"Add (1,2)=17, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,47],[0,3,15],[1,2,17],[1,3,3],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3 Succeeded, w=3\",\"Add (0,3)=15 Succeeded, w=18\",\"Add (1,2)=17 Succeeded, w=35\",\"Add (0,2)=47 Failed, w=35\",\"Add (2,3)=56 Failed, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,47],[0,3,15],[1,2,17],[1,3,3],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(0,3)=15,(1,2)=17,(0,2)=47,(2,3)=56]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Find(0)=0, Find(3)=1, Add (0,3)=15 Succeeded, w=18\",\"Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=35\",\"Find(0)=1, Find(2)=1, Add (0,2)=47 Failed, w=35\",\"Find(2)=1, Find(3)=1, Add (2,3)=56 Failed, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,47],[0,3,15],[1,2,17],[1,3,3],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(0,3)=15,(1,2)=17,(0,2)=47,(2,3)=56]\",\"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: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=15 Succeeded, w=18\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=47 Failed, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=56 Failed, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,82],[0,4,4],[0,5,11],[0,6,27],[0,7,19],[1,2,32],[1,3,73],[1,4,37],[1,5,64],[1,6,87],[1,7,40],[2,3,53],[2,4,58],[2,5,8],[2,6,78],[2,7,65],[3,4,25],[3,5,60],[3,6,60],[3,7,50],[4,5,15],[4,7,36],[5,6,67],[6,7,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,82],[0,4,4],[0,5,11],[0,6,27],[0,7,19],[1,2,32],[1,3,73],[1,4,37],[1,5,64],[1,6,87],[1,7,40],[2,3,53],[2,4,58],[2,5,8],[2,6,78],[2,7,65],[3,4,25],[3,5,60],[3,6,60],[3,7,50],[4,5,15],[4,7,36],[5,6,67],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,82],[0,4,4],[0,5,11],[0,6,27],[0,7,19],[1,2,32],[1,3,73],[1,4,37],[1,5,64],[1,6,87],[1,7,40],[2,3,53],[2,4,58],[2,5,8],[2,6,78],[2,7,65],[3,4,25],[3,5,60],[3,6,60],[3,7,50],[4,5,15],[4,7,36],[5,6,67],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,5)\",\"Add (0,5)\",\"Add (0,7)\",\"Add (3,4)\",\"Add (0,6)\",\"Add (1,2)\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,82],[0,4,4],[0,5,11],[0,6,27],[0,7,19],[1,2,32],[1,3,73],[1,4,37],[1,5,64],[1,6,87],[1,7,40],[2,3,53],[2,4,58],[2,5,8],[2,6,78],[2,7,65],[3,4,25],[3,5,60],[3,6,60],[3,7,50],[4,5,15],[4,7,36],[5,6,67],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=4, w=4\",\"Add (2,5)=8, w=12\",\"Add (0,5)=11, w=23\",\"Add (0,7)=19, w=42\",\"Add (3,4)=25, w=67\",\"Add (0,6)=27, w=94\",\"Add (1,2)=32, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,82],[0,4,4],[0,5,11],[0,6,27],[0,7,19],[1,2,32],[1,3,73],[1,4,37],[1,5,64],[1,6,87],[1,7,40],[2,3,53],[2,4,58],[2,5,8],[2,6,78],[2,7,65],[3,4,25],[3,5,60],[3,6,60],[3,7,50],[4,5,15],[4,7,36],[5,6,67],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=4 Succeeded, w=4\",\"Add (2,5)=8 Succeeded, w=12\",\"Add (0,5)=11 Succeeded, w=23\",\"Add (4,5)=15 Failed, w=23\",\"Add (0,7)=19 Succeeded, w=42\",\"Add (3,4)=25 Succeeded, w=67\",\"Add (0,6)=27 Succeeded, w=94\",\"Add (1,2)=32 Succeeded, w=126\",\"Add (4,7)=36 Failed, w=126\",\"Add (1,4)=37 Failed, w=126\",\"Add (1,7)=40 Failed, w=126\",\"Add (3,7)=50 Failed, w=126\",\"Add (2,3)=53 Failed, w=126\",\"Add (2,4)=58 Failed, w=126\",\"Add (6,7)=59 Failed, w=126\",\"Add (3,5)=60 Failed, w=126\",\"Add (3,6)=60 Failed, w=126\",\"Add (1,5)=64 Failed, w=126\",\"Add (2,7)=65 Failed, w=126\",\"Add (5,6)=67 Failed, w=126\",\"Add (1,3)=73 Failed, w=126\",\"Add (2,6)=78 Failed, w=126\",\"Add (0,2)=82 Failed, w=126\",\"Add (1,6)=87 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,82],[0,4,4],[0,5,11],[0,6,27],[0,7,19],[1,2,32],[1,3,73],[1,4,37],[1,5,64],[1,6,87],[1,7,40],[2,3,53],[2,4,58],[2,5,8],[2,6,78],[2,7,65],[3,4,25],[3,5,60],[3,6,60],[3,7,50],[4,5,15],[4,7,36],[5,6,67],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=4,(2,5)=8,(0,5)=11,(4,5)=15,(0,7)=19,(3,4)=25,(0,6)=27,(1,2)=32,(4,7)=36,(1,4)=37,(1,7)=40,(3,7)=50,(2,3)=53,(2,4)=58,(6,7)=59,(3,5)=60,(3,6)=60,(1,5)=64,(2,7)=65,(5,6)=67,(1,3)=73,(2,6)=78,(0,2)=82,(1,6)=87]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=4 Succeeded, w=4\",\"Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=12\",\"Find(0)=0, Find(5)=2, Add (0,5)=11 Succeeded, w=23\",\"Find(4)=0, Find(5)=0, Add (4,5)=15 Failed, w=23\",\"Find(0)=0, Find(7)=7, Add (0,7)=19 Succeeded, w=42\",\"Find(3)=3, Find(4)=0, Add (3,4)=25 Succeeded, w=67\",\"Find(0)=0, Find(6)=6, Add (0,6)=27 Succeeded, w=94\",\"Find(1)=1, Find(2)=0, Add (1,2)=32 Succeeded, w=126\",\"Find(4)=0, Find(7)=0, Add (4,7)=36 Failed, w=126\",\"Find(1)=0, Find(4)=0, Add (1,4)=37 Failed, w=126\",\"Find(1)=0, Find(7)=0, Add (1,7)=40 Failed, w=126\",\"Find(3)=0, Find(7)=0, Add (3,7)=50 Failed, w=126\",\"Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=126\",\"Find(2)=0, Find(4)=0, Add (2,4)=58 Failed, w=126\",\"Find(6)=0, Find(7)=0, Add (6,7)=59 Failed, w=126\",\"Find(3)=0, Find(5)=0, Add (3,5)=60 Failed, w=126\",\"Find(3)=0, Find(6)=0, Add (3,6)=60 Failed, w=126\",\"Find(1)=0, Find(5)=0, Add (1,5)=64 Failed, w=126\",\"Find(2)=0, Find(7)=0, Add (2,7)=65 Failed, w=126\",\"Find(5)=0, Find(6)=0, Add (5,6)=67 Failed, w=126\",\"Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=126\",\"Find(2)=0, Find(6)=0, Add (2,6)=78 Failed, w=126\",\"Find(0)=0, Find(2)=0, Add (0,2)=82 Failed, w=126\",\"Find(1)=0, Find(6)=0, Add (1,6)=87 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,82],[0,4,4],[0,5,11],[0,6,27],[0,7,19],[1,2,32],[1,3,73],[1,4,37],[1,5,64],[1,6,87],[1,7,40],[2,3,53],[2,4,58],[2,5,8],[2,6,78],[2,7,65],[3,4,25],[3,5,60],[3,6,60],[3,7,50],[4,5,15],[4,7,36],[5,6,67],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=4,(2,5)=8,(0,5)=11,(4,5)=15,(0,7)=19,(3,4)=25,(0,6)=27,(1,2)=32,(4,7)=36,(1,4)=37,(1,7)=40,(3,7)=50,(2,3)=53,(2,4)=58,(6,7)=59,(3,5)=60,(3,6)=60,(1,5)=64,(2,7)=65,(5,6)=67,(1,3)=73,(2,6)=78,(0,2)=82,(1,6)=87]\",\"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: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 2, 6: 6, 7: 7}, Find(0)=0, Find(5)=2, Add (0,5)=11 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6, 7: 7}, Find(4)=0, Find(5)=0, Add (4,5)=15 Failed, w=23\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=19 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(3)=3, Find(4)=0, Add (3,4)=25 Succeeded, w=67\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=6, Add (0,6)=27 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(2)=0, Add (1,2)=32 Succeeded, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=36 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=37 Failed, w=126\",\"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)=40 Failed, w=126\",\"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)=50 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=58 Failed, w=126\",\"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)=59 Failed, w=126\",\"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)=60 Failed, w=126\",\"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)=60 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=64 Failed, w=126\",\"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)=65 Failed, w=126\",\"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)=67 Failed, w=126\",\"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=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=78 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=82 Failed, w=126\",\"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)=87 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,100],[0,2,58],[0,3,92],[1,2,51],[1,3,57]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,58],[0,3,92],[1,2,51],[1,3,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,58],[0,3,92],[1,2,51],[1,3,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,58],[0,3,92],[1,2,51],[1,3,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=51, w=51\",\"Add (1,3)=57, w=108\",\"Add (0,2)=58, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,58],[0,3,92],[1,2,51],[1,3,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=51 Succeeded, w=51\",\"Add (1,3)=57 Succeeded, w=108\",\"Add (0,2)=58 Succeeded, w=166\",\"Add (0,3)=92 Failed, w=166\",\"Add (0,1)=100 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,58],[0,3,92],[1,2,51],[1,3,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=51,(1,3)=57,(0,2)=58,(0,3)=92,(0,1)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=51 Succeeded, w=51\",\"Find(1)=1, Find(3)=3, Add (1,3)=57 Succeeded, w=108\",\"Find(0)=0, Find(2)=1, Add (0,2)=58 Succeeded, w=166\",\"Find(0)=1, Find(3)=1, Add (0,3)=92 Failed, w=166\",\"Find(0)=1, Find(1)=1, Add (0,1)=100 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,58],[0,3,92],[1,2,51],[1,3,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=51,(1,3)=57,(0,2)=58,(0,3)=92,(0,1)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=51 Succeeded, w=51\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=57 Succeeded, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=58 Succeeded, w=166\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=92 Failed, w=166\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=100 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,62],[0,3,6],[0,4,25],[1,2,20],[1,3,57],[1,4,80],[2,3,21],[2,4,31],[3,4,63]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,62],[0,3,6],[0,4,25],[1,2,20],[1,3,57],[1,4,80],[2,3,21],[2,4,31],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,62],[0,3,6],[0,4,25],[1,2,20],[1,3,57],[1,4,80],[2,3,21],[2,4,31],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (2,3)\",\"Add (0,4)\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,62],[0,3,6],[0,4,25],[1,2,20],[1,3,57],[1,4,80],[2,3,21],[2,4,31],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6, w=6\",\"Add (1,2)=20, w=26\",\"Add (2,3)=21, w=47\",\"Add (0,4)=25, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,62],[0,3,6],[0,4,25],[1,2,20],[1,3,57],[1,4,80],[2,3,21],[2,4,31],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6 Succeeded, w=6\",\"Add (1,2)=20 Succeeded, w=26\",\"Add (2,3)=21 Succeeded, w=47\",\"Add (0,4)=25 Succeeded, w=72\",\"Add (2,4)=31 Failed, w=72\",\"Add (1,3)=57 Failed, w=72\",\"Add (0,2)=62 Failed, w=72\",\"Add (3,4)=63 Failed, w=72\",\"Add (1,4)=80 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,62],[0,3,6],[0,4,25],[1,2,20],[1,3,57],[1,4,80],[2,3,21],[2,4,31],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(1,2)=20,(2,3)=21,(0,4)=25,(2,4)=31,(1,3)=57,(0,2)=62,(3,4)=63,(1,4)=80]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=26\",\"Find(2)=1, Find(3)=0, Add (2,3)=21 Succeeded, w=47\",\"Find(0)=1, Find(4)=4, Add (0,4)=25 Succeeded, w=72\",\"Find(2)=1, Find(4)=1, Add (2,4)=31 Failed, w=72\",\"Find(1)=1, Find(3)=1, Add (1,3)=57 Failed, w=72\",\"Find(0)=1, Find(2)=1, Add (0,2)=62 Failed, w=72\",\"Find(3)=1, Find(4)=1, Add (3,4)=63 Failed, w=72\",\"Find(1)=1, Find(4)=1, Add (1,4)=80 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,62],[0,3,6],[0,4,25],[1,2,20],[1,3,57],[1,4,80],[2,3,21],[2,4,31],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(1,2)=20,(2,3)=21,(0,4)=25,(2,4)=31,(1,3)=57,(0,2)=62,(3,4)=63,(1,4)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=26\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 4}, Find(2)=1, Find(3)=0, Add (2,3)=21 Succeeded, w=47\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(0)=1, Find(4)=4, Add (0,4)=25 Succeeded, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=31 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=57 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=62 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=63 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=80 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,44],[0,3,79],[0,5,88],[1,2,60],[1,3,14],[1,4,22],[1,5,8],[1,6,51],[2,3,67],[2,4,57],[2,5,2],[3,4,48],[3,5,61],[3,6,61],[4,6,8],[5,6,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,44],[0,3,79],[0,5,88],[1,2,60],[1,3,14],[1,4,22],[1,5,8],[1,6,51],[2,3,67],[2,4,57],[2,5,2],[3,4,48],[3,5,61],[3,6,61],[4,6,8],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,44],[0,3,79],[0,5,88],[1,2,60],[1,3,14],[1,4,22],[1,5,8],[1,6,51],[2,3,67],[2,4,57],[2,5,2],[3,4,48],[3,5,61],[3,6,61],[4,6,8],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,5)\",\"Add (4,6)\",\"Add (1,3)\",\"Add (1,4)\",\"Add (0,2)\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,44],[0,3,79],[0,5,88],[1,2,60],[1,3,14],[1,4,22],[1,5,8],[1,6,51],[2,3,67],[2,4,57],[2,5,2],[3,4,48],[3,5,61],[3,6,61],[4,6,8],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=2, w=2\",\"Add (1,5)=8, w=10\",\"Add (4,6)=8, w=18\",\"Add (1,3)=14, w=32\",\"Add (1,4)=22, w=54\",\"Add (0,2)=44, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,44],[0,3,79],[0,5,88],[1,2,60],[1,3,14],[1,4,22],[1,5,8],[1,6,51],[2,3,67],[2,4,57],[2,5,2],[3,4,48],[3,5,61],[3,6,61],[4,6,8],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=2 Succeeded, w=2\",\"Add (1,5)=8 Succeeded, w=10\",\"Add (4,6)=8 Succeeded, w=18\",\"Add (1,3)=14 Succeeded, w=32\",\"Add (1,4)=22 Succeeded, w=54\",\"Add (0,2)=44 Succeeded, w=98\",\"Add (3,4)=48 Failed, w=98\",\"Add (1,6)=51 Failed, w=98\",\"Add (2,4)=57 Failed, w=98\",\"Add (1,2)=60 Failed, w=98\",\"Add (3,5)=61 Failed, w=98\",\"Add (3,6)=61 Failed, w=98\",\"Add (2,3)=67 Failed, w=98\",\"Add (0,3)=79 Failed, w=98\",\"Add (0,5)=88 Failed, w=98\",\"Add (5,6)=99 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,44],[0,3,79],[0,5,88],[1,2,60],[1,3,14],[1,4,22],[1,5,8],[1,6,51],[2,3,67],[2,4,57],[2,5,2],[3,4,48],[3,5,61],[3,6,61],[4,6,8],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=2,(1,5)=8,(4,6)=8,(1,3)=14,(1,4)=22,(0,2)=44,(3,4)=48,(1,6)=51,(2,4)=57,(1,2)=60,(3,5)=61,(3,6)=61,(2,3)=67,(0,3)=79,(0,5)=88,(5,6)=99]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=2\",\"Find(1)=1, Find(5)=2, Add (1,5)=8 Succeeded, w=10\",\"Find(4)=4, Find(6)=6, Add (4,6)=8 Succeeded, w=18\",\"Find(1)=2, Find(3)=3, Add (1,3)=14 Succeeded, w=32\",\"Find(1)=2, Find(4)=4, Add (1,4)=22 Succeeded, w=54\",\"Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=98\",\"Find(3)=2, Find(4)=2, Add (3,4)=48 Failed, w=98\",\"Find(1)=2, Find(6)=2, Add (1,6)=51 Failed, w=98\",\"Find(2)=2, Find(4)=2, Add (2,4)=57 Failed, w=98\",\"Find(1)=2, Find(2)=2, Add (1,2)=60 Failed, w=98\",\"Find(3)=2, Find(5)=2, Add (3,5)=61 Failed, w=98\",\"Find(3)=2, Find(6)=2, Add (3,6)=61 Failed, w=98\",\"Find(2)=2, Find(3)=2, Add (2,3)=67 Failed, w=98\",\"Find(0)=2, Find(3)=2, Add (0,3)=79 Failed, w=98\",\"Find(0)=2, Find(5)=2, Add (0,5)=88 Failed, w=98\",\"Find(5)=2, Find(6)=2, Add (5,6)=99 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,44],[0,3,79],[0,5,88],[1,2,60],[1,3,14],[1,4,22],[1,5,8],[1,6,51],[2,3,67],[2,4,57],[2,5,2],[3,4,48],[3,5,61],[3,6,61],[4,6,8],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=2,(1,5)=8,(4,6)=8,(1,3)=14,(1,4)=22,(0,2)=44,(3,4)=48,(1,6)=51,(2,4)=57,(1,2)=60,(3,5)=61,(3,6)=61,(2,3)=67,(0,3)=79,(0,5)=88,(5,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(1)=1, Find(5)=2, Add (1,5)=8 Succeeded, w=10\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=8 Succeeded, w=18\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 4}, Find(1)=2, Find(3)=3, Add (1,3)=14 Succeeded, w=32\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4}, Find(1)=2, Find(4)=4, Add (1,4)=22 Succeeded, w=54\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4}, Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4}, Find(3)=2, Find(4)=2, Add (3,4)=48 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=51 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=57 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=60 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=61 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=61 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=67 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=79 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=88 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=99 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,66],[0,2,78],[0,3,74],[1,2,70],[1,3,64],[2,3,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,78],[0,3,74],[1,2,70],[1,3,64],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,78],[0,3,74],[1,2,70],[1,3,64],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,78],[0,3,74],[1,2,70],[1,3,64],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=64, w=64\",\"Add (0,1)=66, w=130\",\"Add (1,2)=70, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,78],[0,3,74],[1,2,70],[1,3,64],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=64 Succeeded, w=64\",\"Add (0,1)=66 Succeeded, w=130\",\"Add (1,2)=70 Succeeded, w=200\",\"Add (0,3)=74 Failed, w=200\",\"Add (0,2)=78 Failed, w=200\",\"Add (2,3)=88 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,78],[0,3,74],[1,2,70],[1,3,64],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=64,(0,1)=66,(1,2)=70,(0,3)=74,(0,2)=78,(2,3)=88]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=64 Succeeded, w=64\",\"Find(0)=0, Find(1)=1, Add (0,1)=66 Succeeded, w=130\",\"Find(1)=1, Find(2)=2, Add (1,2)=70 Succeeded, w=200\",\"Find(0)=1, Find(3)=1, Add (0,3)=74 Failed, w=200\",\"Find(0)=1, Find(2)=1, Add (0,2)=78 Failed, w=200\",\"Find(2)=1, Find(3)=1, Add (2,3)=88 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,78],[0,3,74],[1,2,70],[1,3,64],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=64,(0,1)=66,(1,2)=70,(0,3)=74,(0,2)=78,(2,3)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=64 Succeeded, w=64\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=66 Succeeded, w=130\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=70 Succeeded, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=74 Failed, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=78 Failed, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=88 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,57],[0,3,34],[0,4,62],[0,5,50],[0,7,8],[1,2,39],[1,3,2],[1,4,2],[1,5,34],[1,6,95],[1,7,59],[2,5,92],[2,6,1],[2,7,47],[3,4,76],[3,5,84],[3,6,35],[3,7,28],[4,5,84],[4,7,40],[5,7,24],[6,7,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,57],[0,3,34],[0,4,62],[0,5,50],[0,7,8],[1,2,39],[1,3,2],[1,4,2],[1,5,34],[1,6,95],[1,7,59],[2,5,92],[2,6,1],[2,7,47],[3,4,76],[3,5,84],[3,6,35],[3,7,28],[4,5,84],[4,7,40],[5,7,24],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,57],[0,3,34],[0,4,62],[0,5,50],[0,7,8],[1,2,39],[1,3,2],[1,4,2],[1,5,34],[1,6,95],[1,7,59],[2,5,92],[2,6,1],[2,7,47],[3,4,76],[3,5,84],[3,6,35],[3,7,28],[4,5,84],[4,7,40],[5,7,24],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (1,3)\",\"Add (1,4)\",\"Add (0,7)\",\"Add (5,7)\",\"Add (3,7)\",\"Add (3,6)\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,57],[0,3,34],[0,4,62],[0,5,50],[0,7,8],[1,2,39],[1,3,2],[1,4,2],[1,5,34],[1,6,95],[1,7,59],[2,5,92],[2,6,1],[2,7,47],[3,4,76],[3,5,84],[3,6,35],[3,7,28],[4,5,84],[4,7,40],[5,7,24],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=1, w=1\",\"Add (1,3)=2, w=3\",\"Add (1,4)=2, w=5\",\"Add (0,7)=8, w=13\",\"Add (5,7)=24, w=37\",\"Add (3,7)=28, w=65\",\"Add (3,6)=35, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,57],[0,3,34],[0,4,62],[0,5,50],[0,7,8],[1,2,39],[1,3,2],[1,4,2],[1,5,34],[1,6,95],[1,7,59],[2,5,92],[2,6,1],[2,7,47],[3,4,76],[3,5,84],[3,6,35],[3,7,28],[4,5,84],[4,7,40],[5,7,24],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=1 Succeeded, w=1\",\"Add (1,3)=2 Succeeded, w=3\",\"Add (1,4)=2 Succeeded, w=5\",\"Add (0,7)=8 Succeeded, w=13\",\"Add (5,7)=24 Succeeded, w=37\",\"Add (3,7)=28 Succeeded, w=65\",\"Add (0,3)=34 Failed, w=65\",\"Add (1,5)=34 Failed, w=65\",\"Add (3,6)=35 Succeeded, w=100\",\"Add (1,2)=39 Failed, w=100\",\"Add (4,7)=40 Failed, w=100\",\"Add (2,7)=47 Failed, w=100\",\"Add (0,5)=50 Failed, w=100\",\"Add (0,2)=57 Failed, w=100\",\"Add (1,7)=59 Failed, w=100\",\"Add (0,4)=62 Failed, w=100\",\"Add (3,4)=76 Failed, w=100\",\"Add (3,5)=84 Failed, w=100\",\"Add (4,5)=84 Failed, w=100\",\"Add (6,7)=89 Failed, w=100\",\"Add (2,5)=92 Failed, w=100\",\"Add (1,6)=95 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,57],[0,3,34],[0,4,62],[0,5,50],[0,7,8],[1,2,39],[1,3,2],[1,4,2],[1,5,34],[1,6,95],[1,7,59],[2,5,92],[2,6,1],[2,7,47],[3,4,76],[3,5,84],[3,6,35],[3,7,28],[4,5,84],[4,7,40],[5,7,24],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=1,(1,3)=2,(1,4)=2,(0,7)=8,(5,7)=24,(3,7)=28,(0,3)=34,(1,5)=34,(3,6)=35,(1,2)=39,(4,7)=40,(2,7)=47,(0,5)=50,(0,2)=57,(1,7)=59,(0,4)=62,(3,4)=76,(3,5)=84,(4,5)=84,(6,7)=89,(2,5)=92,(1,6)=95]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=3\",\"Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=5\",\"Find(0)=0, Find(7)=7, Add (0,7)=8 Succeeded, w=13\",\"Find(5)=5, Find(7)=0, Add (5,7)=24 Succeeded, w=37\",\"Find(3)=1, Find(7)=0, Add (3,7)=28 Succeeded, w=65\",\"Find(0)=1, Find(3)=1, Add (0,3)=34 Failed, w=65\",\"Find(1)=1, Find(5)=1, Add (1,5)=34 Failed, w=65\",\"Find(3)=1, Find(6)=2, Add (3,6)=35 Succeeded, w=100\",\"Find(1)=1, Find(2)=1, Add (1,2)=39 Failed, w=100\",\"Find(4)=1, Find(7)=1, Add (4,7)=40 Failed, w=100\",\"Find(2)=1, Find(7)=1, Add (2,7)=47 Failed, w=100\",\"Find(0)=1, Find(5)=1, Add (0,5)=50 Failed, w=100\",\"Find(0)=1, Find(2)=1, Add (0,2)=57 Failed, w=100\",\"Find(1)=1, Find(7)=1, Add (1,7)=59 Failed, w=100\",\"Find(0)=1, Find(4)=1, Add (0,4)=62 Failed, w=100\",\"Find(3)=1, Find(4)=1, Add (3,4)=76 Failed, w=100\",\"Find(3)=1, Find(5)=1, Add (3,5)=84 Failed, w=100\",\"Find(4)=1, Find(5)=1, Add (4,5)=84 Failed, w=100\",\"Find(6)=1, Find(7)=1, Add (6,7)=89 Failed, w=100\",\"Find(2)=1, Find(5)=1, Add (2,5)=92 Failed, w=100\",\"Find(1)=1, Find(6)=1, Add (1,6)=95 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,57],[0,3,34],[0,4,62],[0,5,50],[0,7,8],[1,2,39],[1,3,2],[1,4,2],[1,5,34],[1,6,95],[1,7,59],[2,5,92],[2,6,1],[2,7,47],[3,4,76],[3,5,84],[3,6,35],[3,7,28],[4,5,84],[4,7,40],[5,7,24],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=1,(1,3)=2,(1,4)=2,(0,7)=8,(5,7)=24,(3,7)=28,(0,3)=34,(1,5)=34,(3,6)=35,(1,2)=39,(4,7)=40,(2,7)=47,(0,5)=50,(0,2)=57,(1,7)=59,(0,4)=62,(3,4)=76,(3,5)=84,(4,5)=84,(6,7)=89,(2,5)=92,(1,6)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 2, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 2, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 2, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=8 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 0, 6: 2, 7: 0}, Find(5)=5, Find(7)=0, Add (5,7)=24 Succeeded, w=37\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 0, 6: 2, 7: 0}, Find(3)=1, Find(7)=0, Add (3,7)=28 Succeeded, w=65\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 0, 6: 2, 7: 0}, Find(0)=1, Find(3)=1, Add (0,3)=34 Failed, w=65\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 2, 7: 0}, Find(1)=1, Find(5)=1, Add (1,5)=34 Failed, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 0}, Find(3)=1, Find(6)=2, Add (3,6)=35 Succeeded, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 0}, Find(1)=1, Find(2)=1, Add (1,2)=39 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=40 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=47 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=50 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=57 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=59 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=62 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=76 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=84 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=84 Failed, w=100\",\"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)=89 Failed, w=100\",\"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)=92 Failed, w=100\",\"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)=95 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,4,10],[0,5,54],[1,2,65],[1,4,22],[2,4,9],[3,4,89],[4,5,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,10],[0,5,54],[1,2,65],[1,4,22],[2,4,9],[3,4,89],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,10],[0,5,54],[1,2,65],[1,4,22],[2,4,9],[3,4,89],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,4)\",\"Add (1,4)\",\"Add (0,5)\",\"Add (3,4)\"],\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,10],[0,5,54],[1,2,65],[1,4,22],[2,4,9],[3,4,89],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=9, w=9\",\"Add (0,4)=10, w=19\",\"Add (1,4)=22, w=41\",\"Add (0,5)=54, w=95\",\"Add (3,4)=89, w=184\"],\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,10],[0,5,54],[1,2,65],[1,4,22],[2,4,9],[3,4,89],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=9 Succeeded, w=9\",\"Add (0,4)=10 Succeeded, w=19\",\"Add (1,4)=22 Succeeded, w=41\",\"Add (0,5)=54 Succeeded, w=95\",\"Add (1,2)=65 Failed, w=95\",\"Add (4,5)=73 Failed, w=95\",\"Add (3,4)=89 Succeeded, w=184\"],\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,10],[0,5,54],[1,2,65],[1,4,22],[2,4,9],[3,4,89],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=9,(0,4)=10,(1,4)=22,(0,5)=54,(1,2)=65,(4,5)=73,(3,4)=89]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=9 Succeeded, w=9\",\"Find(0)=0, Find(4)=2, Add (0,4)=10 Succeeded, w=19\",\"Find(1)=1, Find(4)=2, Add (1,4)=22 Succeeded, w=41\",\"Find(0)=2, Find(5)=5, Add (0,5)=54 Succeeded, w=95\",\"Find(1)=2, Find(2)=2, Add (1,2)=65 Failed, w=95\",\"Find(4)=2, Find(5)=2, Add (4,5)=73 Failed, w=95\",\"Find(3)=3, Find(4)=2, Add (3,4)=89 Succeeded, w=184\"],\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,10],[0,5,54],[1,2,65],[1,4,22],[2,4,9],[3,4,89],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=9,(0,4)=10,(1,4)=22,(0,5)=54,(1,2)=65,(4,5)=73,(3,4)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=9 Succeeded, w=9\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(0)=0, Find(4)=2, Add (0,4)=10 Succeeded, w=19\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5}, Find(1)=1, Find(4)=2, Add (1,4)=22 Succeeded, w=41\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(0)=2, Find(5)=5, Add (0,5)=54 Succeeded, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=65 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=73 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=3, Find(4)=2, Add (3,4)=89 Succeeded, w=184\"],\"Answer\":184}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,65],[0,2,44],[0,3,16],[0,4,79],[0,5,94],[1,2,79],[1,3,5],[1,5,44],[2,3,69],[2,4,34],[3,4,68],[3,5,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,44],[0,3,16],[0,4,79],[0,5,94],[1,2,79],[1,3,5],[1,5,44],[2,3,69],[2,4,34],[3,4,68],[3,5,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,44],[0,3,16],[0,4,79],[0,5,94],[1,2,79],[1,3,5],[1,5,44],[2,3,69],[2,4,34],[3,4,68],[3,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (1,5)\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,44],[0,3,16],[0,4,79],[0,5,94],[1,2,79],[1,3,5],[1,5,44],[2,3,69],[2,4,34],[3,4,68],[3,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5, w=5\",\"Add (0,3)=16, w=21\",\"Add (2,4)=34, w=55\",\"Add (0,2)=44, w=99\",\"Add (1,5)=44, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,44],[0,3,16],[0,4,79],[0,5,94],[1,2,79],[1,3,5],[1,5,44],[2,3,69],[2,4,34],[3,4,68],[3,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5 Succeeded, w=5\",\"Add (0,3)=16 Succeeded, w=21\",\"Add (2,4)=34 Succeeded, w=55\",\"Add (0,2)=44 Succeeded, w=99\",\"Add (1,5)=44 Succeeded, w=143\",\"Add (0,1)=65 Failed, w=143\",\"Add (3,4)=68 Failed, w=143\",\"Add (2,3)=69 Failed, w=143\",\"Add (0,4)=79 Failed, w=143\",\"Add (1,2)=79 Failed, w=143\",\"Add (0,5)=94 Failed, w=143\",\"Add (3,5)=96 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,44],[0,3,16],[0,4,79],[0,5,94],[1,2,79],[1,3,5],[1,5,44],[2,3,69],[2,4,34],[3,4,68],[3,5,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(0,3)=16,(2,4)=34,(0,2)=44,(1,5)=44,(0,1)=65,(3,4)=68,(2,3)=69,(0,4)=79,(1,2)=79,(0,5)=94,(3,5)=96]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Find(0)=0, Find(3)=1, Add (0,3)=16 Succeeded, w=21\",\"Find(2)=2, Find(4)=4, Add (2,4)=34 Succeeded, w=55\",\"Find(0)=1, Find(2)=2, Add (0,2)=44 Succeeded, w=99\",\"Find(1)=1, Find(5)=5, Add (1,5)=44 Succeeded, w=143\",\"Find(0)=1, Find(1)=1, Add (0,1)=65 Failed, w=143\",\"Find(3)=1, Find(4)=1, Add (3,4)=68 Failed, w=143\",\"Find(2)=1, Find(3)=1, Add (2,3)=69 Failed, w=143\",\"Find(0)=1, Find(4)=1, Add (0,4)=79 Failed, w=143\",\"Find(1)=1, Find(2)=1, Add (1,2)=79 Failed, w=143\",\"Find(0)=1, Find(5)=1, Add (0,5)=94 Failed, w=143\",\"Find(3)=1, Find(5)=1, Add (3,5)=96 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,44],[0,3,16],[0,4,79],[0,5,94],[1,2,79],[1,3,5],[1,5,44],[2,3,69],[2,4,34],[3,4,68],[3,5,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(0,3)=16,(2,4)=34,(0,2)=44,(1,5)=44,(0,1)=65,(3,4)=68,(2,3)=69,(0,4)=79,(1,2)=79,(0,5)=94,(3,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(0)=0, Find(3)=1, Add (0,3)=16 Succeeded, w=21\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=34 Succeeded, w=55\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 5}, Find(0)=1, Find(2)=2, Add (0,2)=44 Succeeded, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=44 Succeeded, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=65 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=68 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=69 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=79 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=79 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=94 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=96 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,0],[1,2,99],[1,3,24],[1,4,33],[2,4,12],[3,4,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[1,2,99],[1,3,24],[1,4,33],[2,4,12],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[1,2,99],[1,3,24],[1,4,33],[2,4,12],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (1,4)\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[1,2,99],[1,3,24],[1,4,33],[2,4,12],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0, w=0\",\"Add (2,4)=12, w=12\",\"Add (1,3)=24, w=36\",\"Add (1,4)=33, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[1,2,99],[1,3,24],[1,4,33],[2,4,12],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0 Succeeded, w=0\",\"Add (2,4)=12 Succeeded, w=12\",\"Add (1,3)=24 Succeeded, w=36\",\"Add (1,4)=33 Succeeded, w=69\",\"Add (3,4)=95 Failed, w=69\",\"Add (1,2)=99 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[1,2,99],[1,3,24],[1,4,33],[2,4,12],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(2,4)=12,(1,3)=24,(1,4)=33,(3,4)=95,(1,2)=99]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=12\",\"Find(1)=0, Find(3)=3, Add (1,3)=24 Succeeded, w=36\",\"Find(1)=0, Find(4)=2, Add (1,4)=33 Succeeded, w=69\",\"Find(3)=0, Find(4)=0, Add (3,4)=95 Failed, w=69\",\"Find(1)=0, Find(2)=0, Add (1,2)=99 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[1,2,99],[1,3,24],[1,4,33],[2,4,12],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(2,4)=12,(1,3)=24,(1,4)=33,(3,4)=95,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2}, Find(1)=0, Find(3)=3, Add (1,3)=24 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(4)=2, Add (1,4)=33 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=95 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=99 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,7],[0,4,28],[0,5,76],[1,2,93],[1,3,30],[1,4,90],[1,5,62],[2,4,55],[2,5,39],[3,4,26],[4,6,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,4,28],[0,5,76],[1,2,93],[1,3,30],[1,4,90],[1,5,62],[2,4,55],[2,5,39],[3,4,26],[4,6,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,4,28],[0,5,76],[1,2,93],[1,3,30],[1,4,90],[1,5,62],[2,4,55],[2,5,39],[3,4,26],[4,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (2,5)\",\"Add (2,4)\",\"Add (4,6)\"],\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,4,28],[0,5,76],[1,2,93],[1,3,30],[1,4,90],[1,5,62],[2,4,55],[2,5,39],[3,4,26],[4,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7, w=7\",\"Add (3,4)=26, w=33\",\"Add (0,4)=28, w=61\",\"Add (2,5)=39, w=100\",\"Add (2,4)=55, w=155\",\"Add (4,6)=99, w=254\"],\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,4,28],[0,5,76],[1,2,93],[1,3,30],[1,4,90],[1,5,62],[2,4,55],[2,5,39],[3,4,26],[4,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7 Succeeded, w=7\",\"Add (3,4)=26 Succeeded, w=33\",\"Add (0,4)=28 Succeeded, w=61\",\"Add (1,3)=30 Failed, w=61\",\"Add (2,5)=39 Succeeded, w=100\",\"Add (2,4)=55 Succeeded, w=155\",\"Add (1,5)=62 Failed, w=155\",\"Add (0,5)=76 Failed, w=155\",\"Add (1,4)=90 Failed, w=155\",\"Add (1,2)=93 Failed, w=155\",\"Add (4,6)=99 Succeeded, w=254\"],\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,4,28],[0,5,76],[1,2,93],[1,3,30],[1,4,90],[1,5,62],[2,4,55],[2,5,39],[3,4,26],[4,6,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(3,4)=26,(0,4)=28,(1,3)=30,(2,5)=39,(2,4)=55,(1,5)=62,(0,5)=76,(1,4)=90,(1,2)=93,(4,6)=99]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Find(3)=3, Find(4)=4, Add (3,4)=26 Succeeded, w=33\",\"Find(0)=0, Find(4)=3, Add (0,4)=28 Succeeded, w=61\",\"Find(1)=0, Find(3)=0, Add (1,3)=30 Failed, w=61\",\"Find(2)=2, Find(5)=5, Add (2,5)=39 Succeeded, w=100\",\"Find(2)=2, Find(4)=0, Add (2,4)=55 Succeeded, w=155\",\"Find(1)=0, Find(5)=0, Add (1,5)=62 Failed, w=155\",\"Find(0)=0, Find(5)=0, Add (0,5)=76 Failed, w=155\",\"Find(1)=0, Find(4)=0, Add (1,4)=90 Failed, w=155\",\"Find(1)=0, Find(2)=0, Add (1,2)=93 Failed, w=155\",\"Find(4)=0, Find(6)=6, Add (4,6)=99 Succeeded, w=254\"],\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,4,28],[0,5,76],[1,2,93],[1,3,30],[1,4,90],[1,5,62],[2,4,55],[2,5,39],[3,4,26],[4,6,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(3,4)=26,(0,4)=28,(1,3)=30,(2,5)=39,(2,4)=55,(1,5)=62,(0,5)=76,(1,4)=90,(1,2)=93,(4,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=26 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3, 5: 5, 6: 6}, Find(0)=0, Find(4)=3, Add (0,4)=28 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3, 5: 5, 6: 6}, Find(1)=0, Find(3)=0, Add (1,3)=30 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=39 Succeeded, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 6}, Find(2)=2, Find(4)=0, Add (2,4)=55 Succeeded, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(1)=0, Find(5)=0, Add (1,5)=62 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(5)=0, Add (0,5)=76 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(1)=0, Find(4)=0, Add (1,4)=90 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(1)=0, Find(2)=0, Add (1,2)=93 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=6, Add (4,6)=99 Succeeded, w=254\"],\"Answer\":254}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,99],[0,4,48],[1,3,57],[1,4,1],[2,4,11],[3,4,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,4,48],[1,3,57],[1,4,1],[2,4,11],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,4,48],[1,3,57],[1,4,1],[2,4,11],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,4)\",\"Add (0,4)\",\"Add (3,4)\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,4,48],[1,3,57],[1,4,1],[2,4,11],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1, w=1\",\"Add (2,4)=11, w=12\",\"Add (0,4)=48, w=60\",\"Add (3,4)=53, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,4,48],[1,3,57],[1,4,1],[2,4,11],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1 Succeeded, w=1\",\"Add (2,4)=11 Succeeded, w=12\",\"Add (0,4)=48 Succeeded, w=60\",\"Add (3,4)=53 Succeeded, w=113\",\"Add (1,3)=57 Failed, w=113\",\"Add (0,2)=99 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,4,48],[1,3,57],[1,4,1],[2,4,11],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(2,4)=11,(0,4)=48,(3,4)=53,(1,3)=57,(0,2)=99]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Find(2)=2, Find(4)=1, Add (2,4)=11 Succeeded, w=12\",\"Find(0)=0, Find(4)=1, Add (0,4)=48 Succeeded, w=60\",\"Find(3)=3, Find(4)=1, Add (3,4)=53 Succeeded, w=113\",\"Find(1)=1, Find(3)=1, Add (1,3)=57 Failed, w=113\",\"Find(0)=1, Find(2)=1, Add (0,2)=99 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,4,48],[1,3,57],[1,4,1],[2,4,11],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(2,4)=11,(0,4)=48,(3,4)=53,(1,3)=57,(0,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=11 Succeeded, w=12\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=48 Succeeded, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=3, Find(4)=1, Add (3,4)=53 Succeeded, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=57 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=99 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,90],[0,2,74],[0,3,12],[0,4,66],[1,2,39],[1,3,82],[1,5,7],[2,4,87],[2,5,41],[3,4,43],[3,5,8],[4,5,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,74],[0,3,12],[0,4,66],[1,2,39],[1,3,82],[1,5,7],[2,4,87],[2,5,41],[3,4,43],[3,5,8],[4,5,67]]}",
"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\":[[0,1,90],[0,2,74],[0,3,12],[0,4,66],[1,2,39],[1,3,82],[1,5,7],[2,4,87],[2,5,41],[3,4,43],[3,5,8],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (3,5)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (3,4)\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,74],[0,3,12],[0,4,66],[1,2,39],[1,3,82],[1,5,7],[2,4,87],[2,5,41],[3,4,43],[3,5,8],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=7, w=7\",\"Add (3,5)=8, w=15\",\"Add (0,3)=12, w=27\",\"Add (1,2)=39, w=66\",\"Add (3,4)=43, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,74],[0,3,12],[0,4,66],[1,2,39],[1,3,82],[1,5,7],[2,4,87],[2,5,41],[3,4,43],[3,5,8],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=7 Succeeded, w=7\",\"Add (3,5)=8 Succeeded, w=15\",\"Add (0,3)=12 Succeeded, w=27\",\"Add (1,2)=39 Succeeded, w=66\",\"Add (2,5)=41 Failed, w=66\",\"Add (3,4)=43 Succeeded, w=109\",\"Add (0,4)=66 Failed, w=109\",\"Add (4,5)=67 Failed, w=109\",\"Add (0,2)=74 Failed, w=109\",\"Add (1,3)=82 Failed, w=109\",\"Add (2,4)=87 Failed, w=109\",\"Add (0,1)=90 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\":[[0,1,90],[0,2,74],[0,3,12],[0,4,66],[1,2,39],[1,3,82],[1,5,7],[2,4,87],[2,5,41],[3,4,43],[3,5,8],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=7,(3,5)=8,(0,3)=12,(1,2)=39,(2,5)=41,(3,4)=43,(0,4)=66,(4,5)=67,(0,2)=74,(1,3)=82,(2,4)=87,(0,1)=90]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=7\",\"Find(3)=3, Find(5)=1, Add (3,5)=8 Succeeded, w=15\",\"Find(0)=0, Find(3)=1, Add (0,3)=12 Succeeded, w=27\",\"Find(1)=1, Find(2)=2, Add (1,2)=39 Succeeded, w=66\",\"Find(2)=1, Find(5)=1, Add (2,5)=41 Failed, w=66\",\"Find(3)=1, Find(4)=4, Add (3,4)=43 Succeeded, w=109\",\"Find(0)=1, Find(4)=1, Add (0,4)=66 Failed, w=109\",\"Find(4)=1, Find(5)=1, Add (4,5)=67 Failed, w=109\",\"Find(0)=1, Find(2)=1, Add (0,2)=74 Failed, w=109\",\"Find(1)=1, Find(3)=1, Add (1,3)=82 Failed, w=109\",\"Find(2)=1, Find(4)=1, Add (2,4)=87 Failed, w=109\",\"Find(0)=1, Find(1)=1, Add (0,1)=90 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\":[[0,1,90],[0,2,74],[0,3,12],[0,4,66],[1,2,39],[1,3,82],[1,5,7],[2,4,87],[2,5,41],[3,4,43],[3,5,8],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=7,(3,5)=8,(0,3)=12,(1,2)=39,(2,5)=41,(3,4)=43,(0,4)=66,(4,5)=67,(0,2)=74,(1,3)=82,(2,4)=87,(0,1)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1}, Find(3)=3, Find(5)=1, Add (3,5)=8 Succeeded, w=15\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1}, Find(0)=0, Find(3)=1, Add (0,3)=12 Succeeded, w=27\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(1)=1, Find(2)=2, Add (1,2)=39 Succeeded, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=41 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=4, Add (3,4)=43 Succeeded, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=66 Failed, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=67 Failed, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=74 Failed, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=82 Failed, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=87 Failed, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=90 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,10],[0,2,9],[1,2,85],[1,4,0],[2,4,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,9],[1,2,85],[1,4,0],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":19}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,9],[1,2,85],[1,4,0],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":19}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,9],[1,2,85],[1,4,0],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (0,2)=9, w=9\",\"Add (0,1)=10, w=19\"],\"Answer\":19}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,9],[1,2,85],[1,4,0],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (0,2)=9 Succeeded, w=9\",\"Add (0,1)=10 Succeeded, w=19\",\"Add (2,4)=59 Failed, w=19\",\"Add (1,2)=85 Failed, w=19\"],\"Answer\":19}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,9],[1,2,85],[1,4,0],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(0,2)=9,(0,1)=10,(2,4)=59,(1,2)=85]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=19\",\"Find(2)=0, Find(4)=0, Add (2,4)=59 Failed, w=19\",\"Find(1)=0, Find(2)=0, Add (1,2)=85 Failed, w=19\"],\"Answer\":19}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,9],[1,2,85],[1,4,0],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(0,2)=9,(0,1)=10,(2,4)=59,(1,2)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=59 Failed, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=85 Failed, w=19\"],\"Answer\":19}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,71],[0,2,69],[0,4,100],[0,5,3],[1,4,17],[2,3,92],[2,4,55],[2,5,92],[3,4,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,69],[0,4,100],[0,5,3],[1,4,17],[2,3,92],[2,4,55],[2,5,92],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":221}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,69],[0,4,100],[0,5,3],[1,4,17],[2,3,92],[2,4,55],[2,5,92],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,4)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (3,4)\"],\"Answer\":221}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,69],[0,4,100],[0,5,3],[1,4,17],[2,3,92],[2,4,55],[2,5,92],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=3, w=3\",\"Add (1,4)=17, w=20\",\"Add (2,4)=55, w=75\",\"Add (0,2)=69, w=144\",\"Add (3,4)=77, w=221\"],\"Answer\":221}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,69],[0,4,100],[0,5,3],[1,4,17],[2,3,92],[2,4,55],[2,5,92],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=3 Succeeded, w=3\",\"Add (1,4)=17 Succeeded, w=20\",\"Add (2,4)=55 Succeeded, w=75\",\"Add (0,2)=69 Succeeded, w=144\",\"Add (0,1)=71 Failed, w=144\",\"Add (3,4)=77 Succeeded, w=221\",\"Add (2,3)=92 Failed, w=221\",\"Add (2,5)=92 Failed, w=221\",\"Add (0,4)=100 Failed, w=221\"],\"Answer\":221}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,69],[0,4,100],[0,5,3],[1,4,17],[2,3,92],[2,4,55],[2,5,92],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=3,(1,4)=17,(2,4)=55,(0,2)=69,(0,1)=71,(3,4)=77,(2,3)=92,(2,5)=92,(0,4)=100]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Find(1)=1, Find(4)=4, Add (1,4)=17 Succeeded, w=20\",\"Find(2)=2, Find(4)=1, Add (2,4)=55 Succeeded, w=75\",\"Find(0)=0, Find(2)=1, Add (0,2)=69 Succeeded, w=144\",\"Find(0)=0, Find(1)=0, Add (0,1)=71 Failed, w=144\",\"Find(3)=3, Find(4)=0, Add (3,4)=77 Succeeded, w=221\",\"Find(2)=0, Find(3)=0, Add (2,3)=92 Failed, w=221\",\"Find(2)=0, Find(5)=0, Add (2,5)=92 Failed, w=221\",\"Find(0)=0, Find(4)=0, Add (0,4)=100 Failed, w=221\"],\"Answer\":221}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,69],[0,4,100],[0,5,3],[1,4,17],[2,3,92],[2,4,55],[2,5,92],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=3,(1,4)=17,(2,4)=55,(0,2)=69,(0,1)=71,(3,4)=77,(2,3)=92,(2,5)=92,(0,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0}, Find(1)=1, Find(4)=4, Add (1,4)=17 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 0}, Find(2)=2, Find(4)=1, Add (2,4)=55 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 3, 4: 1, 5: 0}, Find(0)=0, Find(2)=1, Add (0,2)=69 Succeeded, w=144\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 3, 4: 1, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=71 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(3)=3, Find(4)=0, Add (3,4)=77 Succeeded, w=221\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=92 Failed, w=221\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=92 Failed, w=221\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=100 Failed, w=221\"],\"Answer\":221}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,74],[0,2,80],[0,3,36],[0,4,42],[1,4,48],[1,5,91],[2,3,79],[2,4,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,2,80],[0,3,36],[0,4,42],[1,4,48],[1,5,91],[2,3,79],[2,4,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":296}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,2,80],[0,3,36],[0,4,42],[1,4,48],[1,5,91],[2,3,79],[2,4,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,4)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (1,5)\"],\"Answer\":296}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,2,80],[0,3,36],[0,4,42],[1,4,48],[1,5,91],[2,3,79],[2,4,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=36, w=36\",\"Add (0,4)=42, w=78\",\"Add (1,4)=48, w=126\",\"Add (2,3)=79, w=205\",\"Add (1,5)=91, w=296\"],\"Answer\":296}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,2,80],[0,3,36],[0,4,42],[1,4,48],[1,5,91],[2,3,79],[2,4,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=36 Succeeded, w=36\",\"Add (0,4)=42 Succeeded, w=78\",\"Add (1,4)=48 Succeeded, w=126\",\"Add (0,1)=74 Failed, w=126\",\"Add (2,3)=79 Succeeded, w=205\",\"Add (2,4)=79 Failed, w=205\",\"Add (0,2)=80 Failed, w=205\",\"Add (1,5)=91 Succeeded, w=296\"],\"Answer\":296}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,2,80],[0,3,36],[0,4,42],[1,4,48],[1,5,91],[2,3,79],[2,4,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=36,(0,4)=42,(1,4)=48,(0,1)=74,(2,3)=79,(2,4)=79,(0,2)=80,(1,5)=91]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=36\",\"Find(0)=0, Find(4)=4, Add (0,4)=42 Succeeded, w=78\",\"Find(1)=1, Find(4)=0, Add (1,4)=48 Succeeded, w=126\",\"Find(0)=0, Find(1)=0, Add (0,1)=74 Failed, w=126\",\"Find(2)=2, Find(3)=0, Add (2,3)=79 Succeeded, w=205\",\"Find(2)=0, Find(4)=0, Add (2,4)=79 Failed, w=205\",\"Find(0)=0, Find(2)=0, Add (0,2)=80 Failed, w=205\",\"Find(1)=0, Find(5)=5, Add (1,5)=91 Succeeded, w=296\"],\"Answer\":296}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,2,80],[0,3,36],[0,4,42],[1,4,48],[1,5,91],[2,3,79],[2,4,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=36,(0,4)=42,(1,4)=48,(0,1)=74,(2,3)=79,(2,4)=79,(0,2)=80,(1,5)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=42 Succeeded, w=78\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5}, Find(1)=1, Find(4)=0, Add (1,4)=48 Succeeded, w=126\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(1)=0, Add (0,1)=74 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(2)=2, Find(3)=0, Add (2,3)=79 Succeeded, w=205\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(2)=0, Find(4)=0, Add (2,4)=79 Failed, w=205\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(2)=0, Add (0,2)=80 Failed, w=205\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=91 Succeeded, w=296\"],\"Answer\":296}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,4],[0,2,54],[0,3,37],[0,4,89],[1,2,11],[2,4,47],[3,4,33]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,54],[0,3,37],[0,4,89],[1,2,11],[2,4,47],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,54],[0,3,37],[0,4,89],[1,2,11],[2,4,47],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (0,3)\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,54],[0,3,37],[0,4,89],[1,2,11],[2,4,47],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4, w=4\",\"Add (1,2)=11, w=15\",\"Add (3,4)=33, w=48\",\"Add (0,3)=37, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,54],[0,3,37],[0,4,89],[1,2,11],[2,4,47],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4 Succeeded, w=4\",\"Add (1,2)=11 Succeeded, w=15\",\"Add (3,4)=33 Succeeded, w=48\",\"Add (0,3)=37 Succeeded, w=85\",\"Add (2,4)=47 Failed, w=85\",\"Add (0,2)=54 Failed, w=85\",\"Add (0,4)=89 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,54],[0,3,37],[0,4,89],[1,2,11],[2,4,47],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(1,2)=11,(3,4)=33,(0,3)=37,(2,4)=47,(0,2)=54,(0,4)=89]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Find(1)=0, Find(2)=2, Add (1,2)=11 Succeeded, w=15\",\"Find(3)=3, Find(4)=4, Add (3,4)=33 Succeeded, w=48\",\"Find(0)=0, Find(3)=3, Add (0,3)=37 Succeeded, w=85\",\"Find(2)=0, Find(4)=0, Add (2,4)=47 Failed, w=85\",\"Find(0)=0, Find(2)=0, Add (0,2)=54 Failed, w=85\",\"Find(0)=0, Find(4)=0, Add (0,4)=89 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,54],[0,3,37],[0,4,89],[1,2,11],[2,4,47],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(1,2)=11,(3,4)=33,(0,3)=37,(2,4)=47,(0,2)=54,(0,4)=89]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(1)=0, Find(2)=2, Add (1,2)=11 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=33 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=37 Succeeded, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=47 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=54 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=89 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,90],[0,2,26],[0,3,34],[0,4,40],[0,5,5],[1,2,6],[1,3,19],[1,4,86],[1,5,66],[1,6,46],[2,3,13],[2,5,81],[2,6,25],[3,4,49],[3,5,35],[3,6,63],[4,6,76],[5,6,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,26],[0,3,34],[0,4,40],[0,5,5],[1,2,6],[1,3,19],[1,4,86],[1,5,66],[1,6,46],[2,3,13],[2,5,81],[2,6,25],[3,4,49],[3,5,35],[3,6,63],[4,6,76],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,26],[0,3,34],[0,4,40],[0,5,5],[1,2,6],[1,3,19],[1,4,86],[1,5,66],[1,6,46],[2,3,13],[2,5,81],[2,6,25],[3,4,49],[3,5,35],[3,6,63],[4,6,76],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,2)\",\"Add (2,3)\",\"Add (2,6)\",\"Add (0,2)\",\"Add (0,4)\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,26],[0,3,34],[0,4,40],[0,5,5],[1,2,6],[1,3,19],[1,4,86],[1,5,66],[1,6,46],[2,3,13],[2,5,81],[2,6,25],[3,4,49],[3,5,35],[3,6,63],[4,6,76],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=5, w=5\",\"Add (1,2)=6, w=11\",\"Add (2,3)=13, w=24\",\"Add (2,6)=25, w=49\",\"Add (0,2)=26, w=75\",\"Add (0,4)=40, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,26],[0,3,34],[0,4,40],[0,5,5],[1,2,6],[1,3,19],[1,4,86],[1,5,66],[1,6,46],[2,3,13],[2,5,81],[2,6,25],[3,4,49],[3,5,35],[3,6,63],[4,6,76],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=5 Succeeded, w=5\",\"Add (1,2)=6 Succeeded, w=11\",\"Add (2,3)=13 Succeeded, w=24\",\"Add (1,3)=19 Failed, w=24\",\"Add (2,6)=25 Succeeded, w=49\",\"Add (0,2)=26 Succeeded, w=75\",\"Add (0,3)=34 Failed, w=75\",\"Add (3,5)=35 Failed, w=75\",\"Add (5,6)=35 Failed, w=75\",\"Add (0,4)=40 Succeeded, w=115\",\"Add (1,6)=46 Failed, w=115\",\"Add (3,4)=49 Failed, w=115\",\"Add (3,6)=63 Failed, w=115\",\"Add (1,5)=66 Failed, w=115\",\"Add (4,6)=76 Failed, w=115\",\"Add (2,5)=81 Failed, w=115\",\"Add (1,4)=86 Failed, w=115\",\"Add (0,1)=90 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,26],[0,3,34],[0,4,40],[0,5,5],[1,2,6],[1,3,19],[1,4,86],[1,5,66],[1,6,46],[2,3,13],[2,5,81],[2,6,25],[3,4,49],[3,5,35],[3,6,63],[4,6,76],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=5,(1,2)=6,(2,3)=13,(1,3)=19,(2,6)=25,(0,2)=26,(0,3)=34,(3,5)=35,(5,6)=35,(0,4)=40,(1,6)=46,(3,4)=49,(3,6)=63,(1,5)=66,(4,6)=76,(2,5)=81,(1,4)=86,(0,1)=90]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=5\",\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=11\",\"Find(2)=1, Find(3)=3, Add (2,3)=13 Succeeded, w=24\",\"Find(1)=1, Find(3)=1, Add (1,3)=19 Failed, w=24\",\"Find(2)=1, Find(6)=6, Add (2,6)=25 Succeeded, w=49\",\"Find(0)=0, Find(2)=1, Add (0,2)=26 Succeeded, w=75\",\"Find(0)=0, Find(3)=0, Add (0,3)=34 Failed, w=75\",\"Find(3)=0, Find(5)=0, Add (3,5)=35 Failed, w=75\",\"Find(5)=0, Find(6)=0, Add (5,6)=35 Failed, w=75\",\"Find(0)=0, Find(4)=4, Add (0,4)=40 Succeeded, w=115\",\"Find(1)=0, Find(6)=0, Add (1,6)=46 Failed, w=115\",\"Find(3)=0, Find(4)=0, Add (3,4)=49 Failed, w=115\",\"Find(3)=0, Find(6)=0, Add (3,6)=63 Failed, w=115\",\"Find(1)=0, Find(5)=0, Add (1,5)=66 Failed, w=115\",\"Find(4)=0, Find(6)=0, Add (4,6)=76 Failed, w=115\",\"Find(2)=0, Find(5)=0, Add (2,5)=81 Failed, w=115\",\"Find(1)=0, Find(4)=0, Add (1,4)=86 Failed, w=115\",\"Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,26],[0,3,34],[0,4,40],[0,5,5],[1,2,6],[1,3,19],[1,4,86],[1,5,66],[1,6,46],[2,3,13],[2,5,81],[2,6,25],[3,4,49],[3,5,35],[3,6,63],[4,6,76],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=5,(1,2)=6,(2,3)=13,(1,3)=19,(2,6)=25,(0,2)=26,(0,3)=34,(3,5)=35,(5,6)=35,(0,4)=40,(1,6)=46,(3,4)=49,(3,6)=63,(1,5)=66,(4,6)=76,(2,5)=81,(1,4)=86,(0,1)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 0, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 0, 6: 6}, Find(2)=1, Find(3)=3, Add (2,3)=13 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 0, 6: 6}, Find(1)=1, Find(3)=1, Add (1,3)=19 Failed, w=24\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 0, 6: 1}, Find(2)=1, Find(6)=6, Add (2,6)=25 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 4, 5: 0, 6: 1}, Find(0)=0, Find(2)=1, Add (0,2)=26 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 4, 5: 0, 6: 1}, Find(0)=0, Find(3)=0, Add (0,3)=34 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 4, 5: 0, 6: 1}, Find(3)=0, Find(5)=0, Add (3,5)=35 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 4, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=35 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=4, Add (0,4)=40 Succeeded, w=115\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=46 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=49 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=63 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=66 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=76 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=81 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=86 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,87],[0,3,95],[1,2,18],[1,3,85],[2,3,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,3,95],[1,2,18],[1,3,85],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,3,95],[1,2,18],[1,3,85],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,3,95],[1,2,18],[1,3,85],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=12, w=12\",\"Add (1,2)=18, w=30\",\"Add (0,1)=87, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,3,95],[1,2,18],[1,3,85],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=12 Succeeded, w=12\",\"Add (1,2)=18 Succeeded, w=30\",\"Add (1,3)=85 Failed, w=30\",\"Add (0,1)=87 Succeeded, w=117\",\"Add (0,3)=95 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,3,95],[1,2,18],[1,3,85],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=12,(1,2)=18,(1,3)=85,(0,1)=87,(0,3)=95]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=12\",\"Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=30\",\"Find(1)=2, Find(3)=2, Add (1,3)=85 Failed, w=30\",\"Find(0)=0, Find(1)=2, Add (0,1)=87 Succeeded, w=117\",\"Find(0)=2, Find(3)=2, Add (0,3)=95 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,3,95],[1,2,18],[1,3,85],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=12,(1,2)=18,(1,3)=85,(0,1)=87,(0,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=30\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=85 Failed, w=30\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(1)=2, Add (0,1)=87 Succeeded, w=117\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=95 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,35],[0,3,98],[1,2,82],[1,3,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,35],[0,3,98],[1,2,82],[1,3,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,35],[0,3,98],[1,2,82],[1,3,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,35],[0,3,98],[1,2,82],[1,3,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=35, w=35\",\"Add (1,3)=80, w=115\",\"Add (1,2)=82, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,35],[0,3,98],[1,2,82],[1,3,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=35 Succeeded, w=35\",\"Add (1,3)=80 Succeeded, w=115\",\"Add (1,2)=82 Succeeded, w=197\",\"Add (0,3)=98 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,35],[0,3,98],[1,2,82],[1,3,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=35,(1,3)=80,(1,2)=82,(0,3)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=35\",\"Find(1)=1, Find(3)=3, Add (1,3)=80 Succeeded, w=115\",\"Find(1)=1, Find(2)=0, Add (1,2)=82 Succeeded, w=197\",\"Find(0)=1, Find(3)=1, Add (0,3)=98 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,35],[0,3,98],[1,2,82],[1,3,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=35,(1,3)=80,(1,2)=82,(0,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=80 Succeeded, w=115\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(2)=0, Add (1,2)=82 Succeeded, w=197\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=98 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,52],[0,2,25],[0,3,14],[0,5,58],[0,6,30],[1,2,76],[1,5,77],[1,6,17],[2,4,99],[4,5,67],[5,6,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,52],[0,2,25],[0,3,14],[0,5,58],[0,6,30],[1,2,76],[1,5,77],[1,6,17],[2,4,99],[4,5,67],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,52],[0,2,25],[0,3,14],[0,5,58],[0,6,30],[1,2,76],[1,5,77],[1,6,17],[2,4,99],[4,5,67],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,6)\",\"Add (0,2)\",\"Add (0,6)\",\"Add (0,5)\",\"Add (4,5)\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,52],[0,2,25],[0,3,14],[0,5,58],[0,6,30],[1,2,76],[1,5,77],[1,6,17],[2,4,99],[4,5,67],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=14, w=14\",\"Add (1,6)=17, w=31\",\"Add (0,2)=25, w=56\",\"Add (0,6)=30, w=86\",\"Add (0,5)=58, w=144\",\"Add (4,5)=67, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,52],[0,2,25],[0,3,14],[0,5,58],[0,6,30],[1,2,76],[1,5,77],[1,6,17],[2,4,99],[4,5,67],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=14 Succeeded, w=14\",\"Add (1,6)=17 Succeeded, w=31\",\"Add (0,2)=25 Succeeded, w=56\",\"Add (0,6)=30 Succeeded, w=86\",\"Add (0,1)=52 Failed, w=86\",\"Add (0,5)=58 Succeeded, w=144\",\"Add (4,5)=67 Succeeded, w=211\",\"Add (1,2)=76 Failed, w=211\",\"Add (1,5)=77 Failed, w=211\",\"Add (5,6)=85 Failed, w=211\",\"Add (2,4)=99 Failed, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,52],[0,2,25],[0,3,14],[0,5,58],[0,6,30],[1,2,76],[1,5,77],[1,6,17],[2,4,99],[4,5,67],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=14,(1,6)=17,(0,2)=25,(0,6)=30,(0,1)=52,(0,5)=58,(4,5)=67,(1,2)=76,(1,5)=77,(5,6)=85,(2,4)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=14\",\"Find(1)=1, Find(6)=6, Add (1,6)=17 Succeeded, w=31\",\"Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=56\",\"Find(0)=0, Find(6)=1, Add (0,6)=30 Succeeded, w=86\",\"Find(0)=0, Find(1)=0, Add (0,1)=52 Failed, w=86\",\"Find(0)=0, Find(5)=5, Add (0,5)=58 Succeeded, w=144\",\"Find(4)=4, Find(5)=0, Add (4,5)=67 Succeeded, w=211\",\"Find(1)=0, Find(2)=0, Add (1,2)=76 Failed, w=211\",\"Find(1)=0, Find(5)=0, Add (1,5)=77 Failed, w=211\",\"Find(5)=0, Find(6)=0, Add (5,6)=85 Failed, w=211\",\"Find(2)=0, Find(4)=0, Add (2,4)=99 Failed, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,52],[0,2,25],[0,3,14],[0,5,58],[0,6,30],[1,2,76],[1,5,77],[1,6,17],[2,4,99],[4,5,67],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=14,(1,6)=17,(0,2)=25,(0,6)=30,(0,1)=52,(0,5)=58,(4,5)=67,(1,2)=76,(1,5)=77,(5,6)=85,(2,4)=99]\",\"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)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=17 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 1}, Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=30 Succeeded, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 1}, Find(0)=0, Find(1)=0, Add (0,1)=52 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 1}, Find(0)=0, Find(5)=5, Add (0,5)=58 Succeeded, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(4)=4, Find(5)=0, Add (4,5)=67 Succeeded, w=211\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(1)=0, Find(2)=0, Add (1,2)=76 Failed, w=211\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(1)=0, Find(5)=0, Add (1,5)=77 Failed, w=211\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=85 Failed, w=211\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=99 Failed, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[1,2,47],[1,3,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,47],[1,3,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,47],[1,3,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,47],[1,3,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=47, w=47\",\"Add (1,3)=68, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,47],[1,3,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=47 Succeeded, w=47\",\"Add (1,3)=68 Succeeded, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,47],[1,3,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=47,(1,3)=68]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=47 Succeeded, w=47\",\"Find(1)=1, Find(3)=3, Add (1,3)=68 Succeeded, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,47],[1,3,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=47,(1,3)=68]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=47 Succeeded, w=47\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=68 Succeeded, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,38],[0,3,57],[0,4,11],[0,5,97],[0,6,76],[1,4,68],[1,7,45],[2,4,59],[2,5,48],[2,7,25],[3,5,51],[3,6,41],[3,7,91],[4,6,38],[4,7,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,3,57],[0,4,11],[0,5,97],[0,6,76],[1,4,68],[1,7,45],[2,4,59],[2,5,48],[2,7,25],[3,5,51],[3,6,41],[3,7,91],[4,6,38],[4,7,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,3,57],[0,4,11],[0,5,97],[0,6,76],[1,4,68],[1,7,45],[2,4,59],[2,5,48],[2,7,25],[3,5,51],[3,6,41],[3,7,91],[4,6,38],[4,7,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,7)\",\"Add (0,1)\",\"Add (4,6)\",\"Add (3,6)\",\"Add (4,7)\",\"Add (2,5)\"],\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,3,57],[0,4,11],[0,5,97],[0,6,76],[1,4,68],[1,7,45],[2,4,59],[2,5,48],[2,7,25],[3,5,51],[3,6,41],[3,7,91],[4,6,38],[4,7,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=11, w=11\",\"Add (2,7)=25, w=36\",\"Add (0,1)=38, w=74\",\"Add (4,6)=38, w=112\",\"Add (3,6)=41, w=153\",\"Add (4,7)=41, w=194\",\"Add (2,5)=48, w=242\"],\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,3,57],[0,4,11],[0,5,97],[0,6,76],[1,4,68],[1,7,45],[2,4,59],[2,5,48],[2,7,25],[3,5,51],[3,6,41],[3,7,91],[4,6,38],[4,7,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=11 Succeeded, w=11\",\"Add (2,7)=25 Succeeded, w=36\",\"Add (0,1)=38 Succeeded, w=74\",\"Add (4,6)=38 Succeeded, w=112\",\"Add (3,6)=41 Succeeded, w=153\",\"Add (4,7)=41 Succeeded, w=194\",\"Add (1,7)=45 Failed, w=194\",\"Add (2,5)=48 Succeeded, w=242\",\"Add (3,5)=51 Failed, w=242\",\"Add (0,3)=57 Failed, w=242\",\"Add (2,4)=59 Failed, w=242\",\"Add (1,4)=68 Failed, w=242\",\"Add (0,6)=76 Failed, w=242\",\"Add (3,7)=91 Failed, w=242\",\"Add (0,5)=97 Failed, w=242\"],\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,3,57],[0,4,11],[0,5,97],[0,6,76],[1,4,68],[1,7,45],[2,4,59],[2,5,48],[2,7,25],[3,5,51],[3,6,41],[3,7,91],[4,6,38],[4,7,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=11,(2,7)=25,(0,1)=38,(4,6)=38,(3,6)=41,(4,7)=41,(1,7)=45,(2,5)=48,(3,5)=51,(0,3)=57,(2,4)=59,(1,4)=68,(0,6)=76,(3,7)=91,(0,5)=97]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=11\",\"Find(2)=2, Find(7)=7, Add (2,7)=25 Succeeded, w=36\",\"Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=74\",\"Find(4)=0, Find(6)=6, Add (4,6)=38 Succeeded, w=112\",\"Find(3)=3, Find(6)=0, Add (3,6)=41 Succeeded, w=153\",\"Find(4)=0, Find(7)=2, Add (4,7)=41 Succeeded, w=194\",\"Find(1)=0, Find(7)=0, Add (1,7)=45 Failed, w=194\",\"Find(2)=0, Find(5)=5, Add (2,5)=48 Succeeded, w=242\",\"Find(3)=0, Find(5)=0, Add (3,5)=51 Failed, w=242\",\"Find(0)=0, Find(3)=0, Add (0,3)=57 Failed, w=242\",\"Find(2)=0, Find(4)=0, Add (2,4)=59 Failed, w=242\",\"Find(1)=0, Find(4)=0, Add (1,4)=68 Failed, w=242\",\"Find(0)=0, Find(6)=0, Add (0,6)=76 Failed, w=242\",\"Find(3)=0, Find(7)=0, Add (3,7)=91 Failed, w=242\",\"Find(0)=0, Find(5)=0, Add (0,5)=97 Failed, w=242\"],\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,3,57],[0,4,11],[0,5,97],[0,6,76],[1,4,68],[1,7,45],[2,4,59],[2,5,48],[2,7,25],[3,5,51],[3,6,41],[3,7,91],[4,6,38],[4,7,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=11,(2,7)=25,(0,1)=38,(4,6)=38,(3,6)=41,(4,7)=41,(1,7)=45,(2,5)=48,(3,5)=51,(0,3)=57,(2,4)=59,(1,4)=68,(0,6)=76,(3,7)=91,(0,5)=97]\",\"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)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=25 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 2}, Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0, 7: 2}, Find(4)=0, Find(6)=6, Add (4,6)=38 Succeeded, w=112\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0, 7: 2}, Find(3)=3, Find(6)=0, Add (3,6)=41 Succeeded, w=153\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 2}, Find(4)=0, Find(7)=2, Add (4,7)=41 Succeeded, w=194\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=45 Failed, w=194\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=5, Add (2,5)=48 Succeeded, w=242\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=51 Failed, w=242\",\"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)=57 Failed, w=242\",\"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)=59 Failed, w=242\",\"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)=68 Failed, w=242\",\"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)=76 Failed, w=242\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=91 Failed, w=242\",\"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)=97 Failed, w=242\"],\"Answer\":242}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,19],[0,2,66],[0,3,100],[0,6,59],[1,4,70],[2,3,98],[2,5,11],[2,6,33],[3,6,64],[4,5,32],[4,6,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,66],[0,3,100],[0,6,59],[1,4,70],[2,3,98],[2,5,11],[2,6,33],[3,6,64],[4,5,32],[4,6,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,66],[0,3,100],[0,6,59],[1,4,70],[2,3,98],[2,5,11],[2,6,33],[3,6,64],[4,5,32],[4,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,1)\",\"Add (4,6)\",\"Add (4,5)\",\"Add (0,6)\",\"Add (3,6)\"],\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,66],[0,3,100],[0,6,59],[1,4,70],[2,3,98],[2,5,11],[2,6,33],[3,6,64],[4,5,32],[4,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=11, w=11\",\"Add (0,1)=19, w=30\",\"Add (4,6)=19, w=49\",\"Add (4,5)=32, w=81\",\"Add (0,6)=59, w=140\",\"Add (3,6)=64, w=204\"],\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,66],[0,3,100],[0,6,59],[1,4,70],[2,3,98],[2,5,11],[2,6,33],[3,6,64],[4,5,32],[4,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=11 Succeeded, w=11\",\"Add (0,1)=19 Succeeded, w=30\",\"Add (4,6)=19 Succeeded, w=49\",\"Add (4,5)=32 Succeeded, w=81\",\"Add (2,6)=33 Failed, w=81\",\"Add (0,6)=59 Succeeded, w=140\",\"Add (3,6)=64 Succeeded, w=204\",\"Add (0,2)=66 Failed, w=204\",\"Add (1,4)=70 Failed, w=204\",\"Add (2,3)=98 Failed, w=204\",\"Add (0,3)=100 Failed, w=204\"],\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,66],[0,3,100],[0,6,59],[1,4,70],[2,3,98],[2,5,11],[2,6,33],[3,6,64],[4,5,32],[4,6,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=11,(0,1)=19,(4,6)=19,(4,5)=32,(2,6)=33,(0,6)=59,(3,6)=64,(0,2)=66,(1,4)=70,(2,3)=98,(0,3)=100]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=11\",\"Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=30\",\"Find(4)=4, Find(6)=6, Add (4,6)=19 Succeeded, w=49\",\"Find(4)=4, Find(5)=2, Add (4,5)=32 Succeeded, w=81\",\"Find(2)=4, Find(6)=4, Add (2,6)=33 Failed, w=81\",\"Find(0)=0, Find(6)=4, Add (0,6)=59 Succeeded, w=140\",\"Find(3)=3, Find(6)=4, Add (3,6)=64 Succeeded, w=204\",\"Find(0)=4, Find(2)=4, Add (0,2)=66 Failed, w=204\",\"Find(1)=4, Find(4)=4, Add (1,4)=70 Failed, w=204\",\"Find(2)=4, Find(3)=4, Add (2,3)=98 Failed, w=204\",\"Find(0)=4, Find(3)=4, Add (0,3)=100 Failed, w=204\"],\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,66],[0,3,100],[0,6,59],[1,4,70],[2,3,98],[2,5,11],[2,6,33],[3,6,64],[4,5,32],[4,6,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=11,(0,1)=19,(4,6)=19,(4,5)=32,(2,6)=33,(0,6)=59,(3,6)=64,(0,2)=66,(1,4)=70,(2,3)=98,(0,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=19 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 3, 4: 4, 5: 2, 6: 4}, Find(4)=4, Find(5)=2, Add (4,5)=32 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 3, 4: 4, 5: 2, 6: 4}, Find(2)=4, Find(6)=4, Add (2,6)=33 Failed, w=81\",\"Parent: {0: 4, 1: 0, 2: 4, 3: 3, 4: 4, 5: 2, 6: 4}, Find(0)=0, Find(6)=4, Add (0,6)=59 Succeeded, w=140\",\"Parent: {0: 4, 1: 0, 2: 4, 3: 4, 4: 4, 5: 2, 6: 4}, Find(3)=3, Find(6)=4, Add (3,6)=64 Succeeded, w=204\",\"Parent: {0: 4, 1: 0, 2: 4, 3: 4, 4: 4, 5: 2, 6: 4}, Find(0)=4, Find(2)=4, Add (0,2)=66 Failed, w=204\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 2, 6: 4}, Find(1)=4, Find(4)=4, Add (1,4)=70 Failed, w=204\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 2, 6: 4}, Find(2)=4, Find(3)=4, Add (2,3)=98 Failed, w=204\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 2, 6: 4}, Find(0)=4, Find(3)=4, Add (0,3)=100 Failed, w=204\"],\"Answer\":204}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,44],[0,2,1],[0,3,12],[2,3,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,1],[0,3,12],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,1],[0,3,12],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,1],[0,3,12],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (0,3)=12, w=13\",\"Add (0,1)=44, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,1],[0,3,12],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (0,3)=12 Succeeded, w=13\",\"Add (2,3)=12 Failed, w=13\",\"Add (0,1)=44 Succeeded, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,1],[0,3,12],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(0,3)=12,(2,3)=12,(0,1)=44]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=13\",\"Find(2)=0, Find(3)=0, Add (2,3)=12 Failed, w=13\",\"Find(0)=0, Find(1)=1, Add (0,1)=44 Succeeded, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,1],[0,3,12],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(0,3)=12,(2,3)=12,(0,1)=44]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=12 Failed, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=44 Succeeded, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,73],[0,3,22],[0,4,0],[0,5,90],[0,6,100],[0,7,17],[1,2,76],[1,5,38],[1,6,17],[1,7,56],[2,5,73],[2,6,28],[2,7,57],[3,6,20],[4,5,90],[4,6,87],[4,7,87],[5,6,69],[6,7,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,73],[0,3,22],[0,4,0],[0,5,90],[0,6,100],[0,7,17],[1,2,76],[1,5,38],[1,6,17],[1,7,56],[2,5,73],[2,6,28],[2,7,57],[3,6,20],[4,5,90],[4,6,87],[4,7,87],[5,6,69],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,73],[0,3,22],[0,4,0],[0,5,90],[0,6,100],[0,7,17],[1,2,76],[1,5,38],[1,6,17],[1,7,56],[2,5,73],[2,6,28],[2,7,57],[3,6,20],[4,5,90],[4,6,87],[4,7,87],[5,6,69],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (6,7)\",\"Add (0,7)\",\"Add (1,6)\",\"Add (3,6)\",\"Add (2,6)\",\"Add (1,5)\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,73],[0,3,22],[0,4,0],[0,5,90],[0,6,100],[0,7,17],[1,2,76],[1,5,38],[1,6,17],[1,7,56],[2,5,73],[2,6,28],[2,7,57],[3,6,20],[4,5,90],[4,6,87],[4,7,87],[5,6,69],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0, w=0\",\"Add (6,7)=4, w=4\",\"Add (0,7)=17, w=21\",\"Add (1,6)=17, w=38\",\"Add (3,6)=20, w=58\",\"Add (2,6)=28, w=86\",\"Add (1,5)=38, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,73],[0,3,22],[0,4,0],[0,5,90],[0,6,100],[0,7,17],[1,2,76],[1,5,38],[1,6,17],[1,7,56],[2,5,73],[2,6,28],[2,7,57],[3,6,20],[4,5,90],[4,6,87],[4,7,87],[5,6,69],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0 Succeeded, w=0\",\"Add (6,7)=4 Succeeded, w=4\",\"Add (0,7)=17 Succeeded, w=21\",\"Add (1,6)=17 Succeeded, w=38\",\"Add (3,6)=20 Succeeded, w=58\",\"Add (0,3)=22 Failed, w=58\",\"Add (2,6)=28 Succeeded, w=86\",\"Add (1,5)=38 Succeeded, w=124\",\"Add (1,7)=56 Failed, w=124\",\"Add (2,7)=57 Failed, w=124\",\"Add (5,6)=69 Failed, w=124\",\"Add (0,1)=73 Failed, w=124\",\"Add (2,5)=73 Failed, w=124\",\"Add (1,2)=76 Failed, w=124\",\"Add (4,6)=87 Failed, w=124\",\"Add (4,7)=87 Failed, w=124\",\"Add (0,5)=90 Failed, w=124\",\"Add (4,5)=90 Failed, w=124\",\"Add (0,6)=100 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,73],[0,3,22],[0,4,0],[0,5,90],[0,6,100],[0,7,17],[1,2,76],[1,5,38],[1,6,17],[1,7,56],[2,5,73],[2,6,28],[2,7,57],[3,6,20],[4,5,90],[4,6,87],[4,7,87],[5,6,69],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(6,7)=4,(0,7)=17,(1,6)=17,(3,6)=20,(0,3)=22,(2,6)=28,(1,5)=38,(1,7)=56,(2,7)=57,(5,6)=69,(0,1)=73,(2,5)=73,(1,2)=76,(4,6)=87,(4,7)=87,(0,5)=90,(4,5)=90,(0,6)=100]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Find(6)=6, Find(7)=7, Add (6,7)=4 Succeeded, w=4\",\"Find(0)=0, Find(7)=6, Add (0,7)=17 Succeeded, w=21\",\"Find(1)=1, Find(6)=0, Add (1,6)=17 Succeeded, w=38\",\"Find(3)=3, Find(6)=0, Add (3,6)=20 Succeeded, w=58\",\"Find(0)=0, Find(3)=0, Add (0,3)=22 Failed, w=58\",\"Find(2)=2, Find(6)=0, Add (2,6)=28 Succeeded, w=86\",\"Find(1)=0, Find(5)=5, Add (1,5)=38 Succeeded, w=124\",\"Find(1)=0, Find(7)=0, Add (1,7)=56 Failed, w=124\",\"Find(2)=0, Find(7)=0, Add (2,7)=57 Failed, w=124\",\"Find(5)=0, Find(6)=0, Add (5,6)=69 Failed, w=124\",\"Find(0)=0, Find(1)=0, Add (0,1)=73 Failed, w=124\",\"Find(2)=0, Find(5)=0, Add (2,5)=73 Failed, w=124\",\"Find(1)=0, Find(2)=0, Add (1,2)=76 Failed, w=124\",\"Find(4)=0, Find(6)=0, Add (4,6)=87 Failed, w=124\",\"Find(4)=0, Find(7)=0, Add (4,7)=87 Failed, w=124\",\"Find(0)=0, Find(5)=0, Add (0,5)=90 Failed, w=124\",\"Find(4)=0, Find(5)=0, Add (4,5)=90 Failed, w=124\",\"Find(0)=0, Find(6)=0, Add (0,6)=100 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,73],[0,3,22],[0,4,0],[0,5,90],[0,6,100],[0,7,17],[1,2,76],[1,5,38],[1,6,17],[1,7,56],[2,5,73],[2,6,28],[2,7,57],[3,6,20],[4,5,90],[4,6,87],[4,7,87],[5,6,69],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(6,7)=4,(0,7)=17,(1,6)=17,(3,6)=20,(0,3)=22,(2,6)=28,(1,5)=38,(1,7)=56,(2,7)=57,(5,6)=69,(0,1)=73,(2,5)=73,(1,2)=76,(4,6)=87,(4,7)=87,(0,5)=90,(4,5)=90,(0,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0, 7: 6}, Find(0)=0, Find(7)=6, Add (0,7)=17 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0, 7: 6}, Find(1)=1, Find(6)=0, Add (1,6)=17 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0, 7: 6}, Find(3)=3, Find(6)=0, Add (3,6)=20 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0, 7: 6}, Find(0)=0, Find(3)=0, Add (0,3)=22 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 6}, Find(2)=2, Find(6)=0, Add (2,6)=28 Succeeded, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(1)=0, Find(5)=5, Add (1,5)=38 Succeeded, w=124\",\"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)=56 Failed, w=124\",\"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)=57 Failed, w=124\",\"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)=69 Failed, w=124\",\"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)=73 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=73 Failed, w=124\",\"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)=76 Failed, w=124\",\"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)=87 Failed, w=124\",\"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)=87 Failed, w=124\",\"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)=90 Failed, w=124\",\"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)=90 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=100 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,99],[0,4,30],[0,5,25],[1,3,8],[1,4,63],[2,3,50],[2,5,30],[3,4,18],[3,5,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,99],[0,4,30],[0,5,25],[1,3,8],[1,4,63],[2,3,50],[2,5,30],[3,4,18],[3,5,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,99],[0,4,30],[0,5,25],[1,3,8],[1,4,63],[2,3,50],[2,5,30],[3,4,18],[3,5,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (3,4)\",\"Add (0,5)\",\"Add (0,4)\",\"Add (2,5)\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,99],[0,4,30],[0,5,25],[1,3,8],[1,4,63],[2,3,50],[2,5,30],[3,4,18],[3,5,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=8, w=8\",\"Add (3,4)=18, w=26\",\"Add (0,5)=25, w=51\",\"Add (0,4)=30, w=81\",\"Add (2,5)=30, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,99],[0,4,30],[0,5,25],[1,3,8],[1,4,63],[2,3,50],[2,5,30],[3,4,18],[3,5,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=8 Succeeded, w=8\",\"Add (3,4)=18 Succeeded, w=26\",\"Add (0,5)=25 Succeeded, w=51\",\"Add (0,4)=30 Succeeded, w=81\",\"Add (2,5)=30 Succeeded, w=111\",\"Add (2,3)=50 Failed, w=111\",\"Add (1,4)=63 Failed, w=111\",\"Add (3,5)=91 Failed, w=111\",\"Add (0,1)=99 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,99],[0,4,30],[0,5,25],[1,3,8],[1,4,63],[2,3,50],[2,5,30],[3,4,18],[3,5,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=8,(3,4)=18,(0,5)=25,(0,4)=30,(2,5)=30,(2,3)=50,(1,4)=63,(3,5)=91,(0,1)=99]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=8\",\"Find(3)=1, Find(4)=4, Add (3,4)=18 Succeeded, w=26\",\"Find(0)=0, Find(5)=5, Add (0,5)=25 Succeeded, w=51\",\"Find(0)=0, Find(4)=1, Add (0,4)=30 Succeeded, w=81\",\"Find(2)=2, Find(5)=0, Add (2,5)=30 Succeeded, w=111\",\"Find(2)=0, Find(3)=0, Add (2,3)=50 Failed, w=111\",\"Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=111\",\"Find(3)=0, Find(5)=0, Add (3,5)=91 Failed, w=111\",\"Find(0)=0, Find(1)=0, Add (0,1)=99 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,99],[0,4,30],[0,5,25],[1,3,8],[1,4,63],[2,3,50],[2,5,30],[3,4,18],[3,5,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=8,(3,4)=18,(0,5)=25,(0,4)=30,(2,5)=30,(2,3)=50,(1,4)=63,(3,5)=91,(0,1)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(3)=1, Find(4)=4, Add (3,4)=18 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=25 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 1, 5: 0}, Find(0)=0, Find(4)=1, Add (0,4)=30 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=30 Succeeded, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=50 Failed, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=91 Failed, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=99 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,39],[0,2,53],[1,3,84],[1,4,67],[2,3,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,53],[1,3,84],[1,4,67],[2,3,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,53],[1,3,84],[1,4,67],[2,3,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (0,2)\",\"Add (1,4)\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,53],[1,3,84],[1,4,67],[2,3,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2, w=2\",\"Add (0,1)=39, w=41\",\"Add (0,2)=53, w=94\",\"Add (1,4)=67, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,53],[1,3,84],[1,4,67],[2,3,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2 Succeeded, w=2\",\"Add (0,1)=39 Succeeded, w=41\",\"Add (0,2)=53 Succeeded, w=94\",\"Add (1,4)=67 Succeeded, w=161\",\"Add (1,3)=84 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,53],[1,3,84],[1,4,67],[2,3,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(0,1)=39,(0,2)=53,(1,4)=67,(1,3)=84]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=41\",\"Find(0)=0, Find(2)=2, Add (0,2)=53 Succeeded, w=94\",\"Find(1)=0, Find(4)=4, Add (1,4)=67 Succeeded, w=161\",\"Find(1)=0, Find(3)=0, Add (1,3)=84 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,53],[1,3,84],[1,4,67],[2,3,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(0,1)=39,(0,2)=53,(1,4)=67,(1,3)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=53 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=67 Succeeded, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=84 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,48],[0,2,32],[0,4,9],[0,5,68],[0,6,29],[1,2,32],[1,3,84],[1,4,44],[2,4,11],[2,6,33],[3,5,85],[3,6,83],[4,5,94],[4,6,59],[5,6,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,32],[0,4,9],[0,5,68],[0,6,29],[1,2,32],[1,3,84],[1,4,44],[2,4,11],[2,6,33],[3,5,85],[3,6,83],[4,5,94],[4,6,59],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,32],[0,4,9],[0,5,68],[0,6,29],[1,2,32],[1,3,84],[1,4,44],[2,4,11],[2,6,33],[3,5,85],[3,6,83],[4,5,94],[4,6,59],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,4)\",\"Add (5,6)\",\"Add (0,6)\",\"Add (1,2)\",\"Add (3,6)\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,32],[0,4,9],[0,5,68],[0,6,29],[1,2,32],[1,3,84],[1,4,44],[2,4,11],[2,6,33],[3,5,85],[3,6,83],[4,5,94],[4,6,59],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=9, w=9\",\"Add (2,4)=11, w=20\",\"Add (5,6)=11, w=31\",\"Add (0,6)=29, w=60\",\"Add (1,2)=32, w=92\",\"Add (3,6)=83, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,32],[0,4,9],[0,5,68],[0,6,29],[1,2,32],[1,3,84],[1,4,44],[2,4,11],[2,6,33],[3,5,85],[3,6,83],[4,5,94],[4,6,59],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=9 Succeeded, w=9\",\"Add (2,4)=11 Succeeded, w=20\",\"Add (5,6)=11 Succeeded, w=31\",\"Add (0,6)=29 Succeeded, w=60\",\"Add (0,2)=32 Failed, w=60\",\"Add (1,2)=32 Succeeded, w=92\",\"Add (2,6)=33 Failed, w=92\",\"Add (1,4)=44 Failed, w=92\",\"Add (0,1)=48 Failed, w=92\",\"Add (4,6)=59 Failed, w=92\",\"Add (0,5)=68 Failed, w=92\",\"Add (3,6)=83 Succeeded, w=175\",\"Add (1,3)=84 Failed, w=175\",\"Add (3,5)=85 Failed, w=175\",\"Add (4,5)=94 Failed, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,32],[0,4,9],[0,5,68],[0,6,29],[1,2,32],[1,3,84],[1,4,44],[2,4,11],[2,6,33],[3,5,85],[3,6,83],[4,5,94],[4,6,59],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=9,(2,4)=11,(5,6)=11,(0,6)=29,(0,2)=32,(1,2)=32,(2,6)=33,(1,4)=44,(0,1)=48,(4,6)=59,(0,5)=68,(3,6)=83,(1,3)=84,(3,5)=85,(4,5)=94]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=9\",\"Find(2)=2, Find(4)=0, Add (2,4)=11 Succeeded, w=20\",\"Find(5)=5, Find(6)=6, Add (5,6)=11 Succeeded, w=31\",\"Find(0)=0, Find(6)=5, Add (0,6)=29 Succeeded, w=60\",\"Find(0)=0, Find(2)=0, Add (0,2)=32 Failed, w=60\",\"Find(1)=1, Find(2)=0, Add (1,2)=32 Succeeded, w=92\",\"Find(2)=0, Find(6)=0, Add (2,6)=33 Failed, w=92\",\"Find(1)=0, Find(4)=0, Add (1,4)=44 Failed, w=92\",\"Find(0)=0, Find(1)=0, Add (0,1)=48 Failed, w=92\",\"Find(4)=0, Find(6)=0, Add (4,6)=59 Failed, w=92\",\"Find(0)=0, Find(5)=0, Add (0,5)=68 Failed, w=92\",\"Find(3)=3, Find(6)=0, Add (3,6)=83 Succeeded, w=175\",\"Find(1)=0, Find(3)=0, Add (1,3)=84 Failed, w=175\",\"Find(3)=0, Find(5)=0, Add (3,5)=85 Failed, w=175\",\"Find(4)=0, Find(5)=0, Add (4,5)=94 Failed, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,32],[0,4,9],[0,5,68],[0,6,29],[1,2,32],[1,3,84],[1,4,44],[2,4,11],[2,6,33],[3,5,85],[3,6,83],[4,5,94],[4,6,59],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=9,(2,4)=11,(5,6)=11,(0,6)=29,(0,2)=32,(1,2)=32,(2,6)=33,(1,4)=44,(0,1)=48,(4,6)=59,(0,5)=68,(3,6)=83,(1,3)=84,(3,5)=85,(4,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6}, Find(2)=2, Find(4)=0, Add (2,4)=11 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=11 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 5}, Find(0)=0, Find(6)=5, Add (0,6)=29 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 5}, Find(0)=0, Find(2)=0, Add (0,2)=32 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 5}, Find(1)=1, Find(2)=0, Add (1,2)=32 Succeeded, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=33 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=44 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=48 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=59 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=68 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=3, Find(6)=0, Add (3,6)=83 Succeeded, w=175\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=84 Failed, w=175\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=85 Failed, w=175\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=94 Failed, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,41],[0,2,76],[0,3,95],[0,4,12],[1,2,99],[1,3,15],[1,4,0],[2,3,98],[2,4,35],[3,4,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,76],[0,3,95],[0,4,12],[1,2,99],[1,3,15],[1,4,0],[2,3,98],[2,4,35],[3,4,73]]}",
"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\":[[0,1,41],[0,2,76],[0,3,95],[0,4,12],[1,2,99],[1,3,15],[1,4,0],[2,3,98],[2,4,35],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (2,4)\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,76],[0,3,95],[0,4,12],[1,2,99],[1,3,15],[1,4,0],[2,3,98],[2,4,35],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (0,4)=12, w=12\",\"Add (1,3)=15, w=27\",\"Add (2,4)=35, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,76],[0,3,95],[0,4,12],[1,2,99],[1,3,15],[1,4,0],[2,3,98],[2,4,35],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (0,4)=12 Succeeded, w=12\",\"Add (1,3)=15 Succeeded, w=27\",\"Add (2,4)=35 Succeeded, w=62\",\"Add (0,1)=41 Failed, w=62\",\"Add (3,4)=73 Failed, w=62\",\"Add (0,2)=76 Failed, w=62\",\"Add (0,3)=95 Failed, w=62\",\"Add (2,3)=98 Failed, w=62\",\"Add (1,2)=99 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\":[[0,1,41],[0,2,76],[0,3,95],[0,4,12],[1,2,99],[1,3,15],[1,4,0],[2,3,98],[2,4,35],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(0,4)=12,(1,3)=15,(2,4)=35,(0,1)=41,(3,4)=73,(0,2)=76,(0,3)=95,(2,3)=98,(1,2)=99]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(4)=1, Add (0,4)=12 Succeeded, w=12\",\"Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=27\",\"Find(2)=2, Find(4)=1, Add (2,4)=35 Succeeded, w=62\",\"Find(0)=1, Find(1)=1, Add (0,1)=41 Failed, w=62\",\"Find(3)=1, Find(4)=1, Add (3,4)=73 Failed, w=62\",\"Find(0)=1, Find(2)=1, Add (0,2)=76 Failed, w=62\",\"Find(0)=1, Find(3)=1, Add (0,3)=95 Failed, w=62\",\"Find(2)=1, Find(3)=1, Add (2,3)=98 Failed, w=62\",\"Find(1)=1, Find(2)=1, Add (1,2)=99 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\":[[0,1,41],[0,2,76],[0,3,95],[0,4,12],[1,2,99],[1,3,15],[1,4,0],[2,3,98],[2,4,35],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(0,4)=12,(1,3)=15,(2,4)=35,(0,1)=41,(3,4)=73,(0,2)=76,(0,3)=95,(2,3)=98,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=12 Succeeded, w=12\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=27\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=35 Succeeded, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=41 Failed, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=73 Failed, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=76 Failed, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=95 Failed, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=98 Failed, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=99 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,41],[0,2,28],[0,3,24],[1,2,89],[2,3,40]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,28],[0,3,24],[1,2,89],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,28],[0,3,24],[1,2,89],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,28],[0,3,24],[1,2,89],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=24, w=24\",\"Add (0,2)=28, w=52\",\"Add (0,1)=41, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,28],[0,3,24],[1,2,89],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=24 Succeeded, w=24\",\"Add (0,2)=28 Succeeded, w=52\",\"Add (2,3)=40 Failed, w=52\",\"Add (0,1)=41 Succeeded, w=93\",\"Add (1,2)=89 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,28],[0,3,24],[1,2,89],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=24,(0,2)=28,(2,3)=40,(0,1)=41,(1,2)=89]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=24\",\"Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=52\",\"Find(2)=0, Find(3)=0, Add (2,3)=40 Failed, w=52\",\"Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=93\",\"Find(1)=0, Find(2)=0, Add (1,2)=89 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,28],[0,3,24],[1,2,89],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=24,(0,2)=28,(2,3)=40,(0,1)=41,(1,2)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=52\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=40 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=89 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,31],[0,2,62],[0,3,35],[0,4,35],[0,5,48],[0,6,97],[1,2,61],[1,3,39],[1,4,39],[1,5,82],[1,6,63],[2,3,77],[2,4,33],[2,5,91],[2,6,58],[3,4,31],[3,5,75],[3,6,45],[4,5,13],[4,6,67],[5,6,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,2,62],[0,3,35],[0,4,35],[0,5,48],[0,6,97],[1,2,61],[1,3,39],[1,4,39],[1,5,82],[1,6,63],[2,3,77],[2,4,33],[2,5,91],[2,6,58],[3,4,31],[3,5,75],[3,6,45],[4,5,13],[4,6,67],[5,6,97]]}",
"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],\"edges\":[[0,1,31],[0,2,62],[0,3,35],[0,4,35],[0,5,48],[0,6,97],[1,2,61],[1,3,39],[1,4,39],[1,5,82],[1,6,63],[2,3,77],[2,4,33],[2,5,91],[2,6,58],[3,4,31],[3,5,75],[3,6,45],[4,5,13],[4,6,67],[5,6,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (3,6)\"],\"Answer\":188}",
"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],[0,2,62],[0,3,35],[0,4,35],[0,5,48],[0,6,97],[1,2,61],[1,3,39],[1,4,39],[1,5,82],[1,6,63],[2,3,77],[2,4,33],[2,5,91],[2,6,58],[3,4,31],[3,5,75],[3,6,45],[4,5,13],[4,6,67],[5,6,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=13, w=13\",\"Add (0,1)=31, w=44\",\"Add (3,4)=31, w=75\",\"Add (2,4)=33, w=108\",\"Add (0,3)=35, w=143\",\"Add (3,6)=45, 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],\"edges\":[[0,1,31],[0,2,62],[0,3,35],[0,4,35],[0,5,48],[0,6,97],[1,2,61],[1,3,39],[1,4,39],[1,5,82],[1,6,63],[2,3,77],[2,4,33],[2,5,91],[2,6,58],[3,4,31],[3,5,75],[3,6,45],[4,5,13],[4,6,67],[5,6,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=13 Succeeded, w=13\",\"Add (0,1)=31 Succeeded, w=44\",\"Add (3,4)=31 Succeeded, w=75\",\"Add (2,4)=33 Succeeded, w=108\",\"Add (0,3)=35 Succeeded, w=143\",\"Add (0,4)=35 Failed, w=143\",\"Add (1,3)=39 Failed, w=143\",\"Add (1,4)=39 Failed, w=143\",\"Add (3,6)=45 Succeeded, w=188\",\"Add (0,5)=48 Failed, w=188\",\"Add (2,6)=58 Failed, w=188\",\"Add (1,2)=61 Failed, w=188\",\"Add (0,2)=62 Failed, w=188\",\"Add (1,6)=63 Failed, w=188\",\"Add (4,6)=67 Failed, w=188\",\"Add (3,5)=75 Failed, w=188\",\"Add (2,3)=77 Failed, w=188\",\"Add (1,5)=82 Failed, w=188\",\"Add (2,5)=91 Failed, w=188\",\"Add (0,6)=97 Failed, w=188\",\"Add (5,6)=97 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],\"edges\":[[0,1,31],[0,2,62],[0,3,35],[0,4,35],[0,5,48],[0,6,97],[1,2,61],[1,3,39],[1,4,39],[1,5,82],[1,6,63],[2,3,77],[2,4,33],[2,5,91],[2,6,58],[3,4,31],[3,5,75],[3,6,45],[4,5,13],[4,6,67],[5,6,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=13,(0,1)=31,(3,4)=31,(2,4)=33,(0,3)=35,(0,4)=35,(1,3)=39,(1,4)=39,(3,6)=45,(0,5)=48,(2,6)=58,(1,2)=61,(0,2)=62,(1,6)=63,(4,6)=67,(3,5)=75,(2,3)=77,(1,5)=82,(2,5)=91,(0,6)=97,(5,6)=97]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=13 Succeeded, w=13\",\"Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=44\",\"Find(3)=3, Find(4)=4, Add (3,4)=31 Succeeded, w=75\",\"Find(2)=2, Find(4)=4, Add (2,4)=33 Succeeded, w=108\",\"Find(0)=0, Find(3)=4, Add (0,3)=35 Succeeded, w=143\",\"Find(0)=0, Find(4)=0, Add (0,4)=35 Failed, w=143\",\"Find(1)=0, Find(3)=0, Add (1,3)=39 Failed, w=143\",\"Find(1)=0, Find(4)=0, Add (1,4)=39 Failed, w=143\",\"Find(3)=0, Find(6)=6, Add (3,6)=45 Succeeded, w=188\",\"Find(0)=0, Find(5)=0, Add (0,5)=48 Failed, w=188\",\"Find(2)=0, Find(6)=0, Add (2,6)=58 Failed, w=188\",\"Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=188\",\"Find(0)=0, Find(2)=0, Add (0,2)=62 Failed, w=188\",\"Find(1)=0, Find(6)=0, Add (1,6)=63 Failed, w=188\",\"Find(4)=0, Find(6)=0, Add (4,6)=67 Failed, w=188\",\"Find(3)=0, Find(5)=0, Add (3,5)=75 Failed, w=188\",\"Find(2)=0, Find(3)=0, Add (2,3)=77 Failed, w=188\",\"Find(1)=0, Find(5)=0, Add (1,5)=82 Failed, w=188\",\"Find(2)=0, Find(5)=0, Add (2,5)=91 Failed, w=188\",\"Find(0)=0, Find(6)=0, Add (0,6)=97 Failed, w=188\",\"Find(5)=0, Find(6)=0, Add (5,6)=97 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],\"edges\":[[0,1,31],[0,2,62],[0,3,35],[0,4,35],[0,5,48],[0,6,97],[1,2,61],[1,3,39],[1,4,39],[1,5,82],[1,6,63],[2,3,77],[2,4,33],[2,5,91],[2,6,58],[3,4,31],[3,5,75],[3,6,45],[4,5,13],[4,6,67],[5,6,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=13,(0,1)=31,(3,4)=31,(2,4)=33,(0,3)=35,(0,4)=35,(1,3)=39,(1,4)=39,(3,6)=45,(0,5)=48,(2,6)=58,(1,2)=61,(0,2)=62,(1,6)=63,(4,6)=67,(3,5)=75,(2,3)=77,(1,5)=82,(2,5)=91,(0,6)=97,(5,6)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 4, 4: 4, 5: 4, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=31 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=33 Succeeded, w=108\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 4, 4: 0, 5: 4, 6: 6}, Find(0)=0, Find(3)=4, Add (0,3)=35 Succeeded, w=143\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 4, 4: 0, 5: 4, 6: 6}, Find(0)=0, Find(4)=0, Add (0,4)=35 Failed, w=143\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 4, 6: 6}, Find(1)=0, Find(3)=0, Add (1,3)=39 Failed, w=143\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 4, 6: 6}, Find(1)=0, Find(4)=0, Add (1,4)=39 Failed, w=143\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 4, 6: 0}, Find(3)=0, Find(6)=6, Add (3,6)=45 Succeeded, w=188\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=48 Failed, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=58 Failed, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=62 Failed, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=63 Failed, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=67 Failed, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=75 Failed, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=77 Failed, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=82 Failed, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=91 Failed, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=97 Failed, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=97 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,16],[0,2,90],[0,4,76],[0,5,63],[1,2,90],[1,4,28],[1,5,35],[2,3,77],[2,5,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,2,90],[0,4,76],[0,5,63],[1,2,90],[1,4,28],[1,5,35],[2,3,77],[2,5,7]]}",
"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],\"edges\":[[0,1,16],[0,2,90],[0,4,76],[0,5,63],[1,2,90],[1,4,28],[1,5,35],[2,3,77],[2,5,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,1)\",\"Add (1,4)\",\"Add (1,5)\",\"Add (2,3)\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,2,90],[0,4,76],[0,5,63],[1,2,90],[1,4,28],[1,5,35],[2,3,77],[2,5,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=7, w=7\",\"Add (0,1)=16, w=23\",\"Add (1,4)=28, w=51\",\"Add (1,5)=35, w=86\",\"Add (2,3)=77, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,2,90],[0,4,76],[0,5,63],[1,2,90],[1,4,28],[1,5,35],[2,3,77],[2,5,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=7 Succeeded, w=7\",\"Add (0,1)=16 Succeeded, w=23\",\"Add (1,4)=28 Succeeded, w=51\",\"Add (1,5)=35 Succeeded, w=86\",\"Add (0,5)=63 Failed, w=86\",\"Add (0,4)=76 Failed, w=86\",\"Add (2,3)=77 Succeeded, w=163\",\"Add (0,2)=90 Failed, w=163\",\"Add (1,2)=90 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],\"edges\":[[0,1,16],[0,2,90],[0,4,76],[0,5,63],[1,2,90],[1,4,28],[1,5,35],[2,3,77],[2,5,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=7,(0,1)=16,(1,4)=28,(1,5)=35,(0,5)=63,(0,4)=76,(2,3)=77,(0,2)=90,(1,2)=90]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=7 Succeeded, w=7\",\"Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=23\",\"Find(1)=0, Find(4)=4, Add (1,4)=28 Succeeded, w=51\",\"Find(1)=0, Find(5)=2, Add (1,5)=35 Succeeded, w=86\",\"Find(0)=0, Find(5)=0, Add (0,5)=63 Failed, w=86\",\"Find(0)=0, Find(4)=0, Add (0,4)=76 Failed, w=86\",\"Find(2)=0, Find(3)=3, Add (2,3)=77 Succeeded, w=163\",\"Find(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=163\",\"Find(1)=0, Find(2)=0, Add (1,2)=90 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],\"edges\":[[0,1,16],[0,2,90],[0,4,76],[0,5,63],[1,2,90],[1,4,28],[1,5,35],[2,3,77],[2,5,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=7,(0,1)=16,(1,4)=28,(1,5)=35,(0,5)=63,(0,4)=76,(2,3)=77,(0,2)=90,(1,2)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2}, Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 2}, Find(1)=0, Find(4)=4, Add (1,4)=28 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 2}, Find(1)=0, Find(5)=2, Add (1,5)=35 Succeeded, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=63 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=76 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=3, Add (2,3)=77 Succeeded, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=163\",\"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=163\"],\"Answer\":163}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,24],[0,2,96],[0,3,15],[0,5,0],[0,6,70],[0,7,24],[1,3,100],[1,4,15],[1,5,41],[1,6,82],[1,7,28],[2,3,11],[2,4,80],[2,5,23],[2,6,48],[2,7,70],[3,4,20],[3,5,94],[3,6,69],[3,7,87],[4,6,68],[5,6,57],[5,7,40],[6,7,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,24],[0,2,96],[0,3,15],[0,5,0],[0,6,70],[0,7,24],[1,3,100],[1,4,15],[1,5,41],[1,6,82],[1,7,28],[2,3,11],[2,4,80],[2,5,23],[2,6,48],[2,7,70],[3,4,20],[3,5,94],[3,6,69],[3,7,87],[4,6,68],[5,6,57],[5,7,40],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,24],[0,2,96],[0,3,15],[0,5,0],[0,6,70],[0,7,24],[1,3,100],[1,4,15],[1,5,41],[1,6,82],[1,7,28],[2,3,11],[2,4,80],[2,5,23],[2,6,48],[2,7,70],[3,4,20],[3,5,94],[3,6,69],[3,7,87],[4,6,68],[5,6,57],[5,7,40],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (1,4)\",\"Add (3,4)\",\"Add (0,7)\",\"Add (6,7)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,24],[0,2,96],[0,3,15],[0,5,0],[0,6,70],[0,7,24],[1,3,100],[1,4,15],[1,5,41],[1,6,82],[1,7,28],[2,3,11],[2,4,80],[2,5,23],[2,6,48],[2,7,70],[3,4,20],[3,5,94],[3,6,69],[3,7,87],[4,6,68],[5,6,57],[5,7,40],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0, w=0\",\"Add (2,3)=11, w=11\",\"Add (0,3)=15, w=26\",\"Add (1,4)=15, w=41\",\"Add (3,4)=20, w=61\",\"Add (0,7)=24, w=85\",\"Add (6,7)=25, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,24],[0,2,96],[0,3,15],[0,5,0],[0,6,70],[0,7,24],[1,3,100],[1,4,15],[1,5,41],[1,6,82],[1,7,28],[2,3,11],[2,4,80],[2,5,23],[2,6,48],[2,7,70],[3,4,20],[3,5,94],[3,6,69],[3,7,87],[4,6,68],[5,6,57],[5,7,40],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0 Succeeded, w=0\",\"Add (2,3)=11 Succeeded, w=11\",\"Add (0,3)=15 Succeeded, w=26\",\"Add (1,4)=15 Succeeded, w=41\",\"Add (3,4)=20 Succeeded, w=61\",\"Add (2,5)=23 Failed, w=61\",\"Add (0,1)=24 Failed, w=61\",\"Add (0,7)=24 Succeeded, w=85\",\"Add (6,7)=25 Succeeded, w=110\",\"Add (1,7)=28 Failed, w=110\",\"Add (5,7)=40 Failed, w=110\",\"Add (1,5)=41 Failed, w=110\",\"Add (2,6)=48 Failed, w=110\",\"Add (5,6)=57 Failed, w=110\",\"Add (4,6)=68 Failed, w=110\",\"Add (3,6)=69 Failed, w=110\",\"Add (0,6)=70 Failed, w=110\",\"Add (2,7)=70 Failed, w=110\",\"Add (2,4)=80 Failed, w=110\",\"Add (1,6)=82 Failed, w=110\",\"Add (3,7)=87 Failed, w=110\",\"Add (3,5)=94 Failed, w=110\",\"Add (0,2)=96 Failed, w=110\",\"Add (1,3)=100 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,24],[0,2,96],[0,3,15],[0,5,0],[0,6,70],[0,7,24],[1,3,100],[1,4,15],[1,5,41],[1,6,82],[1,7,28],[2,3,11],[2,4,80],[2,5,23],[2,6,48],[2,7,70],[3,4,20],[3,5,94],[3,6,69],[3,7,87],[4,6,68],[5,6,57],[5,7,40],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(2,3)=11,(0,3)=15,(1,4)=15,(3,4)=20,(2,5)=23,(0,1)=24,(0,7)=24,(6,7)=25,(1,7)=28,(5,7)=40,(1,5)=41,(2,6)=48,(5,6)=57,(4,6)=68,(3,6)=69,(0,6)=70,(2,7)=70,(2,4)=80,(1,6)=82,(3,7)=87,(3,5)=94,(0,2)=96,(1,3)=100]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Find(0)=0, Find(3)=2, Add (0,3)=15 Succeeded, w=26\",\"Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=41\",\"Find(3)=0, Find(4)=1, Add (3,4)=20 Succeeded, w=61\",\"Find(2)=0, Find(5)=0, Add (2,5)=23 Failed, w=61\",\"Find(0)=0, Find(1)=0, Add (0,1)=24 Failed, w=61\",\"Find(0)=0, Find(7)=7, Add (0,7)=24 Succeeded, w=85\",\"Find(6)=6, Find(7)=0, Add (6,7)=25 Succeeded, w=110\",\"Find(1)=0, Find(7)=0, Add (1,7)=28 Failed, w=110\",\"Find(5)=0, Find(7)=0, Add (5,7)=40 Failed, w=110\",\"Find(1)=0, Find(5)=0, Add (1,5)=41 Failed, w=110\",\"Find(2)=0, Find(6)=0, Add (2,6)=48 Failed, w=110\",\"Find(5)=0, Find(6)=0, Add (5,6)=57 Failed, w=110\",\"Find(4)=0, Find(6)=0, Add (4,6)=68 Failed, w=110\",\"Find(3)=0, Find(6)=0, Add (3,6)=69 Failed, w=110\",\"Find(0)=0, Find(6)=0, Add (0,6)=70 Failed, w=110\",\"Find(2)=0, Find(7)=0, Add (2,7)=70 Failed, w=110\",\"Find(2)=0, Find(4)=0, Add (2,4)=80 Failed, w=110\",\"Find(1)=0, Find(6)=0, Add (1,6)=82 Failed, w=110\",\"Find(3)=0, Find(7)=0, Add (3,7)=87 Failed, w=110\",\"Find(3)=0, Find(5)=0, Add (3,5)=94 Failed, w=110\",\"Find(0)=0, Find(2)=0, Add (0,2)=96 Failed, w=110\",\"Find(1)=0, Find(3)=0, Add (1,3)=100 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,24],[0,2,96],[0,3,15],[0,5,0],[0,6,70],[0,7,24],[1,3,100],[1,4,15],[1,5,41],[1,6,82],[1,7,28],[2,3,11],[2,4,80],[2,5,23],[2,6,48],[2,7,70],[3,4,20],[3,5,94],[3,6,69],[3,7,87],[4,6,68],[5,6,57],[5,7,40],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(2,3)=11,(0,3)=15,(1,4)=15,(3,4)=20,(2,5)=23,(0,1)=24,(0,7)=24,(6,7)=25,(1,7)=28,(5,7)=40,(1,5)=41,(2,6)=48,(5,6)=57,(4,6)=68,(3,6)=69,(0,6)=70,(2,7)=70,(2,4)=80,(1,6)=82,(3,7)=87,(3,5)=94,(0,2)=96,(1,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(3)=2, Add (0,3)=15 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 1, 5: 0, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 6, 7: 7}, Find(3)=0, Find(4)=1, Add (3,4)=20 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 6, 7: 7}, Find(2)=0, Find(5)=0, Add (2,5)=23 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(1)=0, Add (0,1)=24 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=24 Succeeded, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(6)=6, Find(7)=0, Add (6,7)=25 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=28 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=40 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=41 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=48 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=57 Failed, w=110\",\"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)=68 Failed, w=110\",\"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)=69 Failed, w=110\",\"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)=70 Failed, w=110\",\"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)=70 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=80 Failed, w=110\",\"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)=82 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=87 Failed, w=110\",\"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=110\",\"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)=96 Failed, w=110\",\"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)=100 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,86],[0,2,87],[0,3,81],[1,2,7],[1,3,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,2,87],[0,3,81],[1,2,7],[1,3,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,2,87],[0,3,81],[1,2,7],[1,3,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,2,87],[0,3,81],[1,2,7],[1,3,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=7, w=7\",\"Add (1,3)=68, w=75\",\"Add (0,3)=81, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,2,87],[0,3,81],[1,2,7],[1,3,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=7 Succeeded, w=7\",\"Add (1,3)=68 Succeeded, w=75\",\"Add (0,3)=81 Succeeded, w=156\",\"Add (0,1)=86 Failed, w=156\",\"Add (0,2)=87 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,2,87],[0,3,81],[1,2,7],[1,3,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=7,(1,3)=68,(0,3)=81,(0,1)=86,(0,2)=87]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=7 Succeeded, w=7\",\"Find(1)=1, Find(3)=3, Add (1,3)=68 Succeeded, w=75\",\"Find(0)=0, Find(3)=1, Add (0,3)=81 Succeeded, w=156\",\"Find(0)=1, Find(1)=1, Add (0,1)=86 Failed, w=156\",\"Find(0)=1, Find(2)=1, Add (0,2)=87 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,2,87],[0,3,81],[1,2,7],[1,3,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=7,(1,3)=68,(0,3)=81,(0,1)=86,(0,2)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=68 Succeeded, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=81 Succeeded, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=86 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=87 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,57],[0,2,3],[0,3,29],[0,4,66],[0,5,25],[1,2,86],[1,4,2],[1,5,93],[2,3,83],[2,4,26],[2,5,84],[3,4,85],[3,5,99],[4,5,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,2,3],[0,3,29],[0,4,66],[0,5,25],[1,2,86],[1,4,2],[1,5,93],[2,3,83],[2,4,26],[2,5,84],[3,4,85],[3,5,99],[4,5,89]]}",
"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],\"edges\":[[0,1,57],[0,2,3],[0,3,29],[0,4,66],[0,5,25],[1,2,86],[1,4,2],[1,5,93],[2,3,83],[2,4,26],[2,5,84],[3,4,85],[3,5,99],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,2)\",\"Add (0,5)\",\"Add (2,4)\",\"Add (0,3)\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,2,3],[0,3,29],[0,4,66],[0,5,25],[1,2,86],[1,4,2],[1,5,93],[2,3,83],[2,4,26],[2,5,84],[3,4,85],[3,5,99],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2, w=2\",\"Add (0,2)=3, w=5\",\"Add (0,5)=25, w=30\",\"Add (2,4)=26, w=56\",\"Add (0,3)=29, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,2,3],[0,3,29],[0,4,66],[0,5,25],[1,2,86],[1,4,2],[1,5,93],[2,3,83],[2,4,26],[2,5,84],[3,4,85],[3,5,99],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2 Succeeded, w=2\",\"Add (0,2)=3 Succeeded, w=5\",\"Add (0,5)=25 Succeeded, w=30\",\"Add (2,4)=26 Succeeded, w=56\",\"Add (0,3)=29 Succeeded, w=85\",\"Add (0,1)=57 Failed, w=85\",\"Add (0,4)=66 Failed, w=85\",\"Add (2,3)=83 Failed, w=85\",\"Add (2,5)=84 Failed, w=85\",\"Add (3,4)=85 Failed, w=85\",\"Add (1,2)=86 Failed, w=85\",\"Add (4,5)=89 Failed, w=85\",\"Add (1,5)=93 Failed, w=85\",\"Add (3,5)=99 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],\"edges\":[[0,1,57],[0,2,3],[0,3,29],[0,4,66],[0,5,25],[1,2,86],[1,4,2],[1,5,93],[2,3,83],[2,4,26],[2,5,84],[3,4,85],[3,5,99],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(0,2)=3,(0,5)=25,(2,4)=26,(0,3)=29,(0,1)=57,(0,4)=66,(2,3)=83,(2,5)=84,(3,4)=85,(1,2)=86,(4,5)=89,(1,5)=93,(3,5)=99]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=5\",\"Find(0)=0, Find(5)=5, Add (0,5)=25 Succeeded, w=30\",\"Find(2)=0, Find(4)=1, Add (2,4)=26 Succeeded, w=56\",\"Find(0)=0, Find(3)=3, Add (0,3)=29 Succeeded, w=85\",\"Find(0)=0, Find(1)=0, Add (0,1)=57 Failed, w=85\",\"Find(0)=0, Find(4)=0, Add (0,4)=66 Failed, w=85\",\"Find(2)=0, Find(3)=0, Add (2,3)=83 Failed, w=85\",\"Find(2)=0, Find(5)=0, Add (2,5)=84 Failed, w=85\",\"Find(3)=0, Find(4)=0, Add (3,4)=85 Failed, w=85\",\"Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=85\",\"Find(4)=0, Find(5)=0, Add (4,5)=89 Failed, w=85\",\"Find(1)=0, Find(5)=0, Add (1,5)=93 Failed, w=85\",\"Find(3)=0, Find(5)=0, Add (3,5)=99 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],\"edges\":[[0,1,57],[0,2,3],[0,3,29],[0,4,66],[0,5,25],[1,2,86],[1,4,2],[1,5,93],[2,3,83],[2,4,26],[2,5,84],[3,4,85],[3,5,99],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(0,2)=3,(0,5)=25,(2,4)=26,(0,3)=29,(0,1)=57,(0,4)=66,(2,3)=83,(2,5)=84,(3,4)=85,(1,2)=86,(4,5)=89,(1,5)=93,(3,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=25 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1, 5: 0}, Find(2)=0, Find(4)=1, Add (2,4)=26 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0}, Find(0)=0, Find(3)=3, Add (0,3)=29 Succeeded, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=57 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=66 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=83 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=84 Failed, w=85\",\"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=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=89 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=93 Failed, w=85\",\"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=85\"],\"Answer\":85}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,7],[0,2,45],[0,4,81],[0,5,95],[1,2,6],[1,3,66],[1,7,60],[2,3,12],[2,5,17],[3,4,52],[3,5,58],[3,6,68],[3,7,100],[4,5,6],[4,7,1],[5,6,85],[5,7,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,45],[0,4,81],[0,5,95],[1,2,6],[1,3,66],[1,7,60],[2,3,12],[2,5,17],[3,4,52],[3,5,58],[3,6,68],[3,7,100],[4,5,6],[4,7,1],[5,6,85],[5,7,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,45],[0,4,81],[0,5,95],[1,2,6],[1,3,66],[1,7,60],[2,3,12],[2,5,17],[3,4,52],[3,5,58],[3,6,68],[3,7,100],[4,5,6],[4,7,1],[5,6,85],[5,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)\",\"Add (1,2)\",\"Add (4,5)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (2,5)\",\"Add (3,6)\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,45],[0,4,81],[0,5,95],[1,2,6],[1,3,66],[1,7,60],[2,3,12],[2,5,17],[3,4,52],[3,5,58],[3,6,68],[3,7,100],[4,5,6],[4,7,1],[5,6,85],[5,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=1, w=1\",\"Add (1,2)=6, w=7\",\"Add (4,5)=6, w=13\",\"Add (0,1)=7, w=20\",\"Add (2,3)=12, w=32\",\"Add (2,5)=17, w=49\",\"Add (3,6)=68, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,45],[0,4,81],[0,5,95],[1,2,6],[1,3,66],[1,7,60],[2,3,12],[2,5,17],[3,4,52],[3,5,58],[3,6,68],[3,7,100],[4,5,6],[4,7,1],[5,6,85],[5,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=1 Succeeded, w=1\",\"Add (1,2)=6 Succeeded, w=7\",\"Add (4,5)=6 Succeeded, w=13\",\"Add (0,1)=7 Succeeded, w=20\",\"Add (2,3)=12 Succeeded, w=32\",\"Add (2,5)=17 Succeeded, w=49\",\"Add (0,2)=45 Failed, w=49\",\"Add (3,4)=52 Failed, w=49\",\"Add (3,5)=58 Failed, w=49\",\"Add (1,7)=60 Failed, w=49\",\"Add (1,3)=66 Failed, w=49\",\"Add (3,6)=68 Succeeded, w=117\",\"Add (5,7)=72 Failed, w=117\",\"Add (0,4)=81 Failed, w=117\",\"Add (5,6)=85 Failed, w=117\",\"Add (0,5)=95 Failed, w=117\",\"Add (3,7)=100 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,45],[0,4,81],[0,5,95],[1,2,6],[1,3,66],[1,7,60],[2,3,12],[2,5,17],[3,4,52],[3,5,58],[3,6,68],[3,7,100],[4,5,6],[4,7,1],[5,6,85],[5,7,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=1,(1,2)=6,(4,5)=6,(0,1)=7,(2,3)=12,(2,5)=17,(0,2)=45,(3,4)=52,(3,5)=58,(1,7)=60,(1,3)=66,(3,6)=68,(5,7)=72,(0,4)=81,(5,6)=85,(0,5)=95,(3,7)=100]\",\"Process\":[\"Find(4)=4, Find(7)=7, Add (4,7)=1 Succeeded, w=1\",\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=7\",\"Find(4)=4, Find(5)=5, Add (4,5)=6 Succeeded, w=13\",\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=20\",\"Find(2)=1, Find(3)=3, Add (2,3)=12 Succeeded, w=32\",\"Find(2)=1, Find(5)=4, Add (2,5)=17 Succeeded, w=49\",\"Find(0)=1, Find(2)=1, Add (0,2)=45 Failed, w=49\",\"Find(3)=1, Find(4)=1, Add (3,4)=52 Failed, w=49\",\"Find(3)=1, Find(5)=1, Add (3,5)=58 Failed, w=49\",\"Find(1)=1, Find(7)=1, Add (1,7)=60 Failed, w=49\",\"Find(1)=1, Find(3)=1, Add (1,3)=66 Failed, w=49\",\"Find(3)=1, Find(6)=6, Add (3,6)=68 Succeeded, w=117\",\"Find(5)=1, Find(7)=1, Add (5,7)=72 Failed, w=117\",\"Find(0)=1, Find(4)=1, Add (0,4)=81 Failed, w=117\",\"Find(5)=1, Find(6)=1, Add (5,6)=85 Failed, w=117\",\"Find(0)=1, Find(5)=1, Add (0,5)=95 Failed, w=117\",\"Find(3)=1, Find(7)=1, Add (3,7)=100 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,45],[0,4,81],[0,5,95],[1,2,6],[1,3,66],[1,7,60],[2,3,12],[2,5,17],[3,4,52],[3,5,58],[3,6,68],[3,7,100],[4,5,6],[4,7,1],[5,6,85],[5,7,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=1,(1,2)=6,(4,5)=6,(0,1)=7,(2,3)=12,(2,5)=17,(0,2)=45,(3,4)=52,(3,5)=58,(1,7)=60,(1,3)=66,(3,6)=68,(5,7)=72,(0,4)=81,(5,6)=85,(0,5)=95,(3,7)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 6, 7: 4}, Find(4)=4, Find(5)=5, Add (4,5)=6 Succeeded, w=13\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 6, 7: 4}, Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 6, 7: 4}, Find(2)=1, Find(3)=3, Add (2,3)=12 Succeeded, w=32\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 6, 7: 4}, Find(2)=1, Find(5)=4, Add (2,5)=17 Succeeded, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 6, 7: 4}, Find(0)=1, Find(2)=1, Add (0,2)=45 Failed, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 6, 7: 4}, Find(3)=1, Find(4)=1, Add (3,4)=52 Failed, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 4}, Find(3)=1, Find(5)=1, Add (3,5)=58 Failed, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=60 Failed, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(1)=1, Find(3)=1, Add (1,3)=66 Failed, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=6, Add (3,6)=68 Succeeded, w=117\",\"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)=72 Failed, w=117\",\"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)=81 Failed, w=117\",\"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)=85 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=95 Failed, w=117\",\"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)=100 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,13],[0,2,34],[0,3,70],[0,5,67],[0,6,28],[0,7,19],[1,2,51],[1,4,59],[1,5,66],[1,6,29],[1,7,1],[2,4,20],[2,5,36],[2,6,35],[2,7,7],[3,4,53],[3,6,43],[4,5,25],[4,6,6],[6,7,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,13],[0,2,34],[0,3,70],[0,5,67],[0,6,28],[0,7,19],[1,2,51],[1,4,59],[1,5,66],[1,6,29],[1,7,1],[2,4,20],[2,5,36],[2,6,35],[2,7,7],[3,4,53],[3,6,43],[4,5,25],[4,6,6],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,13],[0,2,34],[0,3,70],[0,5,67],[0,6,28],[0,7,19],[1,2,51],[1,4,59],[1,5,66],[1,6,29],[1,7,1],[2,4,20],[2,5,36],[2,6,35],[2,7,7],[3,4,53],[3,6,43],[4,5,25],[4,6,6],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (4,6)\",\"Add (2,7)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (4,5)\",\"Add (3,6)\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,13],[0,2,34],[0,3,70],[0,5,67],[0,6,28],[0,7,19],[1,2,51],[1,4,59],[1,5,66],[1,6,29],[1,7,1],[2,4,20],[2,5,36],[2,6,35],[2,7,7],[3,4,53],[3,6,43],[4,5,25],[4,6,6],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=1, w=1\",\"Add (4,6)=6, w=7\",\"Add (2,7)=7, w=14\",\"Add (0,1)=13, w=27\",\"Add (2,4)=20, w=47\",\"Add (4,5)=25, w=72\",\"Add (3,6)=43, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,13],[0,2,34],[0,3,70],[0,5,67],[0,6,28],[0,7,19],[1,2,51],[1,4,59],[1,5,66],[1,6,29],[1,7,1],[2,4,20],[2,5,36],[2,6,35],[2,7,7],[3,4,53],[3,6,43],[4,5,25],[4,6,6],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=1 Succeeded, w=1\",\"Add (4,6)=6 Succeeded, w=7\",\"Add (2,7)=7 Succeeded, w=14\",\"Add (0,1)=13 Succeeded, w=27\",\"Add (0,7)=19 Failed, w=27\",\"Add (2,4)=20 Succeeded, w=47\",\"Add (4,5)=25 Succeeded, w=72\",\"Add (0,6)=28 Failed, w=72\",\"Add (1,6)=29 Failed, w=72\",\"Add (0,2)=34 Failed, w=72\",\"Add (2,6)=35 Failed, w=72\",\"Add (2,5)=36 Failed, w=72\",\"Add (3,6)=43 Succeeded, w=115\",\"Add (6,7)=47 Failed, w=115\",\"Add (1,2)=51 Failed, w=115\",\"Add (3,4)=53 Failed, w=115\",\"Add (1,4)=59 Failed, w=115\",\"Add (1,5)=66 Failed, w=115\",\"Add (0,5)=67 Failed, w=115\",\"Add (0,3)=70 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,13],[0,2,34],[0,3,70],[0,5,67],[0,6,28],[0,7,19],[1,2,51],[1,4,59],[1,5,66],[1,6,29],[1,7,1],[2,4,20],[2,5,36],[2,6,35],[2,7,7],[3,4,53],[3,6,43],[4,5,25],[4,6,6],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=1,(4,6)=6,(2,7)=7,(0,1)=13,(0,7)=19,(2,4)=20,(4,5)=25,(0,6)=28,(1,6)=29,(0,2)=34,(2,6)=35,(2,5)=36,(3,6)=43,(6,7)=47,(1,2)=51,(3,4)=53,(1,4)=59,(1,5)=66,(0,5)=67,(0,3)=70]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=1 Succeeded, w=1\",\"Find(4)=4, Find(6)=6, Add (4,6)=6 Succeeded, w=7\",\"Find(2)=2, Find(7)=1, Add (2,7)=7 Succeeded, w=14\",\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=27\",\"Find(0)=1, Find(7)=1, Add (0,7)=19 Failed, w=27\",\"Find(2)=1, Find(4)=4, Add (2,4)=20 Succeeded, w=47\",\"Find(4)=1, Find(5)=5, Add (4,5)=25 Succeeded, w=72\",\"Find(0)=1, Find(6)=1, Add (0,6)=28 Failed, w=72\",\"Find(1)=1, Find(6)=1, Add (1,6)=29 Failed, w=72\",\"Find(0)=1, Find(2)=1, Add (0,2)=34 Failed, w=72\",\"Find(2)=1, Find(6)=1, Add (2,6)=35 Failed, w=72\",\"Find(2)=1, Find(5)=1, Add (2,5)=36 Failed, w=72\",\"Find(3)=3, Find(6)=1, Add (3,6)=43 Succeeded, w=115\",\"Find(6)=1, Find(7)=1, Add (6,7)=47 Failed, w=115\",\"Find(1)=1, Find(2)=1, Add (1,2)=51 Failed, w=115\",\"Find(3)=1, Find(4)=1, Add (3,4)=53 Failed, w=115\",\"Find(1)=1, Find(4)=1, Add (1,4)=59 Failed, w=115\",\"Find(1)=1, Find(5)=1, Add (1,5)=66 Failed, w=115\",\"Find(0)=1, Find(5)=1, Add (0,5)=67 Failed, w=115\",\"Find(0)=1, Find(3)=1, Add (0,3)=70 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,13],[0,2,34],[0,3,70],[0,5,67],[0,6,28],[0,7,19],[1,2,51],[1,4,59],[1,5,66],[1,6,29],[1,7,1],[2,4,20],[2,5,36],[2,6,35],[2,7,7],[3,4,53],[3,6,43],[4,5,25],[4,6,6],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=1,(4,6)=6,(2,7)=7,(0,1)=13,(0,7)=19,(2,4)=20,(4,5)=25,(0,6)=28,(1,6)=29,(0,2)=34,(2,6)=35,(2,5)=36,(3,6)=43,(6,7)=47,(1,2)=51,(3,4)=53,(1,4)=59,(1,5)=66,(0,5)=67,(0,3)=70]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 1}, Find(4)=4, Find(6)=6, Add (4,6)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 4, 7: 1}, Find(2)=2, Find(7)=1, Add (2,7)=7 Succeeded, w=14\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 4, 7: 1}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=27\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 4, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=19 Failed, w=27\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 4, 7: 1}, Find(2)=1, Find(4)=4, Add (2,4)=20 Succeeded, w=47\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 4, 7: 1}, Find(4)=1, Find(5)=5, Add (4,5)=25 Succeeded, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=28 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=29 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=34 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(6)=1, Add (2,6)=35 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=36 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=3, Find(6)=1, Add (3,6)=43 Succeeded, w=115\",\"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)=47 Failed, w=115\",\"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)=51 Failed, w=115\",\"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)=53 Failed, w=115\",\"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=115\",\"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=115\",\"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)=67 Failed, w=115\",\"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)=70 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
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