graph
stringlengths 50
311
| messages_l0
listlengths 2
2
| messages_l1
listlengths 2
2
| messages_l2
listlengths 2
2
| messages_l3
listlengths 2
2
| messages_l4
listlengths 2
2
| messages_l5
listlengths 2
2
|
|---|---|---|---|---|---|---|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,46],[0,4,91],[1,2,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,46],[0,4,91],[1,2,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,46],[0,4,91],[1,2,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (0,4)\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,46],[0,4,91],[1,2,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=27, w=27\",\"Add (0,3)=46, w=73\",\"Add (0,4)=91, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,46],[0,4,91],[1,2,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=27 Succeeded, w=27\",\"Add (0,3)=46 Succeeded, w=73\",\"Add (0,4)=91 Succeeded, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,46],[0,4,91],[1,2,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=27,(0,3)=46,(0,4)=91]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=27\",\"Find(0)=0, Find(3)=3, Add (0,3)=46 Succeeded, w=73\",\"Find(0)=0, Find(4)=4, Add (0,4)=91 Succeeded, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,46],[0,4,91],[1,2,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=27,(0,3)=46,(0,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=46 Succeeded, w=73\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=91 Succeeded, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,55],[1,2,59],[1,3,34],[1,4,0],[2,4,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,55],[1,2,59],[1,3,34],[1,4,0],[2,4,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,55],[1,2,59],[1,3,34],[1,4,0],[2,4,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,3)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,55],[1,2,59],[1,3,34],[1,4,0],[2,4,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (1,3)=34, w=34\",\"Add (0,1)=55, w=89\",\"Add (1,2)=59, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,55],[1,2,59],[1,3,34],[1,4,0],[2,4,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (1,3)=34 Succeeded, w=34\",\"Add (0,1)=55 Succeeded, w=89\",\"Add (1,2)=59 Succeeded, w=148\",\"Add (2,4)=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],\"edges\":[[0,1,55],[1,2,59],[1,3,34],[1,4,0],[2,4,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(1,3)=34,(0,1)=55,(1,2)=59,(2,4)=96]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=3, Add (1,3)=34 Succeeded, w=34\",\"Find(0)=0, Find(1)=1, Add (0,1)=55 Succeeded, w=89\",\"Find(1)=1, Find(2)=2, Add (1,2)=59 Succeeded, w=148\",\"Find(2)=1, Find(4)=1, Add (2,4)=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],\"edges\":[[0,1,55],[1,2,59],[1,3,34],[1,4,0],[2,4,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(1,3)=34,(0,1)=55,(1,2)=59,(2,4)=96]\",\"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: 2, 3: 1, 4: 1}, Find(1)=1, Find(3)=3, Add (1,3)=34 Succeeded, w=34\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=55 Succeeded, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=59 Succeeded, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=96 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,84],[0,3,43],[0,6,42],[1,3,49],[1,5,32],[1,6,18],[2,3,51],[2,4,41],[2,5,46],[2,6,48],[3,4,38],[3,5,10],[5,6,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,3,43],[0,6,42],[1,3,49],[1,5,32],[1,6,18],[2,3,51],[2,4,41],[2,5,46],[2,6,48],[3,4,38],[3,5,10],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,3,43],[0,6,42],[1,3,49],[1,5,32],[1,6,18],[2,3,51],[2,4,41],[2,5,46],[2,6,48],[3,4,38],[3,5,10],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (1,6)\",\"Add (1,5)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (0,6)\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,3,43],[0,6,42],[1,3,49],[1,5,32],[1,6,18],[2,3,51],[2,4,41],[2,5,46],[2,6,48],[3,4,38],[3,5,10],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=10, w=10\",\"Add (1,6)=18, w=28\",\"Add (1,5)=32, w=60\",\"Add (3,4)=38, w=98\",\"Add (2,4)=41, w=139\",\"Add (0,6)=42, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,3,43],[0,6,42],[1,3,49],[1,5,32],[1,6,18],[2,3,51],[2,4,41],[2,5,46],[2,6,48],[3,4,38],[3,5,10],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=10 Succeeded, w=10\",\"Add (1,6)=18 Succeeded, w=28\",\"Add (1,5)=32 Succeeded, w=60\",\"Add (3,4)=38 Succeeded, w=98\",\"Add (2,4)=41 Succeeded, w=139\",\"Add (0,6)=42 Succeeded, w=181\",\"Add (0,3)=43 Failed, w=181\",\"Add (2,5)=46 Failed, w=181\",\"Add (2,6)=48 Failed, w=181\",\"Add (1,3)=49 Failed, w=181\",\"Add (2,3)=51 Failed, w=181\",\"Add (5,6)=70 Failed, w=181\",\"Add (0,1)=84 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,3,43],[0,6,42],[1,3,49],[1,5,32],[1,6,18],[2,3,51],[2,4,41],[2,5,46],[2,6,48],[3,4,38],[3,5,10],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=10,(1,6)=18,(1,5)=32,(3,4)=38,(2,4)=41,(0,6)=42,(0,3)=43,(2,5)=46,(2,6)=48,(1,3)=49,(2,3)=51,(5,6)=70,(0,1)=84]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=10 Succeeded, w=10\",\"Find(1)=1, Find(6)=6, Add (1,6)=18 Succeeded, w=28\",\"Find(1)=1, Find(5)=3, Add (1,5)=32 Succeeded, w=60\",\"Find(3)=1, Find(4)=4, Add (3,4)=38 Succeeded, w=98\",\"Find(2)=2, Find(4)=1, Add (2,4)=41 Succeeded, w=139\",\"Find(0)=0, Find(6)=1, Add (0,6)=42 Succeeded, w=181\",\"Find(0)=1, Find(3)=1, Add (0,3)=43 Failed, w=181\",\"Find(2)=1, Find(5)=1, Add (2,5)=46 Failed, w=181\",\"Find(2)=1, Find(6)=1, Add (2,6)=48 Failed, w=181\",\"Find(1)=1, Find(3)=1, Add (1,3)=49 Failed, w=181\",\"Find(2)=1, Find(3)=1, Add (2,3)=51 Failed, w=181\",\"Find(5)=1, Find(6)=1, Add (5,6)=70 Failed, w=181\",\"Find(0)=1, Find(1)=1, Add (0,1)=84 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,3,43],[0,6,42],[1,3,49],[1,5,32],[1,6,18],[2,3,51],[2,4,41],[2,5,46],[2,6,48],[3,4,38],[3,5,10],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=10,(1,6)=18,(1,5)=32,(3,4)=38,(2,4)=41,(0,6)=42,(0,3)=43,(2,5)=46,(2,6)=48,(1,3)=49,(2,3)=51,(5,6)=70,(0,1)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=18 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 3, 6: 1}, Find(1)=1, Find(5)=3, Add (1,5)=32 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 3, 6: 1}, Find(3)=1, Find(4)=4, Add (3,4)=38 Succeeded, w=98\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1}, Find(2)=2, Find(4)=1, Add (2,4)=41 Succeeded, w=139\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=42 Succeeded, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=43 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=46 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=48 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=49 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=51 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=70 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=84 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,38],[0,2,77],[0,3,76],[0,4,58],[1,2,19],[1,3,66],[1,4,81],[2,3,61],[2,4,46]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,77],[0,3,76],[0,4,58],[1,2,19],[1,3,66],[1,4,81],[2,3,61],[2,4,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,77],[0,3,76],[0,4,58],[1,2,19],[1,3,66],[1,4,81],[2,3,61],[2,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (2,3)\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,77],[0,3,76],[0,4,58],[1,2,19],[1,3,66],[1,4,81],[2,3,61],[2,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=19, w=19\",\"Add (0,1)=38, w=57\",\"Add (2,4)=46, w=103\",\"Add (2,3)=61, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,77],[0,3,76],[0,4,58],[1,2,19],[1,3,66],[1,4,81],[2,3,61],[2,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=19 Succeeded, w=19\",\"Add (0,1)=38 Succeeded, w=57\",\"Add (2,4)=46 Succeeded, w=103\",\"Add (0,4)=58 Failed, w=103\",\"Add (2,3)=61 Succeeded, w=164\",\"Add (1,3)=66 Failed, w=164\",\"Add (0,3)=76 Failed, w=164\",\"Add (0,2)=77 Failed, w=164\",\"Add (1,4)=81 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,77],[0,3,76],[0,4,58],[1,2,19],[1,3,66],[1,4,81],[2,3,61],[2,4,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=19,(0,1)=38,(2,4)=46,(0,4)=58,(2,3)=61,(1,3)=66,(0,3)=76,(0,2)=77,(1,4)=81]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=19\",\"Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=57\",\"Find(2)=1, Find(4)=4, Add (2,4)=46 Succeeded, w=103\",\"Find(0)=1, Find(4)=1, Add (0,4)=58 Failed, w=103\",\"Find(2)=1, Find(3)=3, Add (2,3)=61 Succeeded, w=164\",\"Find(1)=1, Find(3)=1, Add (1,3)=66 Failed, w=164\",\"Find(0)=1, Find(3)=1, Add (0,3)=76 Failed, w=164\",\"Find(0)=1, Find(2)=1, Add (0,2)=77 Failed, w=164\",\"Find(1)=1, Find(4)=1, Add (1,4)=81 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,77],[0,3,76],[0,4,58],[1,2,19],[1,3,66],[1,4,81],[2,3,61],[2,4,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=19,(0,1)=38,(2,4)=46,(0,4)=58,(2,3)=61,(1,3)=66,(0,3)=76,(0,2)=77,(1,4)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=19\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=46 Succeeded, w=103\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=58 Failed, w=103\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=3, Add (2,3)=61 Succeeded, w=164\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=66 Failed, w=164\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=76 Failed, w=164\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=77 Failed, w=164\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=81 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,13],[0,2,98],[1,2,61],[1,3,57],[2,3,9]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,98],[1,2,61],[1,3,57],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,98],[1,2,61],[1,3,57],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,98],[1,2,61],[1,3,57],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=9, w=9\",\"Add (0,1)=13, w=22\",\"Add (1,3)=57, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,98],[1,2,61],[1,3,57],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=9 Succeeded, w=9\",\"Add (0,1)=13 Succeeded, w=22\",\"Add (1,3)=57 Succeeded, w=79\",\"Add (1,2)=61 Failed, w=79\",\"Add (0,2)=98 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,98],[1,2,61],[1,3,57],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=9,(0,1)=13,(1,3)=57,(1,2)=61,(0,2)=98]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=9\",\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=22\",\"Find(1)=0, Find(3)=2, Add (1,3)=57 Succeeded, w=79\",\"Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=79\",\"Find(0)=0, Find(2)=0, Add (0,2)=98 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,98],[1,2,61],[1,3,57],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=9,(0,1)=13,(1,3)=57,(1,2)=61,(0,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(3)=2, Add (1,3)=57 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(2)=0, Add (0,2)=98 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,83],[0,3,66],[1,2,30],[1,3,65],[2,3,8],[2,4,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,83],[0,3,66],[1,2,30],[1,3,65],[2,3,8],[2,4,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,83],[0,3,66],[1,2,30],[1,3,65],[2,3,8],[2,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (2,4)\",\"Add (0,3)\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,83],[0,3,66],[1,2,30],[1,3,65],[2,3,8],[2,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8, w=8\",\"Add (1,2)=30, w=38\",\"Add (2,4)=42, w=80\",\"Add (0,3)=66, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,83],[0,3,66],[1,2,30],[1,3,65],[2,3,8],[2,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8 Succeeded, w=8\",\"Add (1,2)=30 Succeeded, w=38\",\"Add (2,4)=42 Succeeded, w=80\",\"Add (1,3)=65 Failed, w=80\",\"Add (0,3)=66 Succeeded, w=146\",\"Add (0,1)=83 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,83],[0,3,66],[1,2,30],[1,3,65],[2,3,8],[2,4,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(1,2)=30,(2,4)=42,(1,3)=65,(0,3)=66,(0,1)=83]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=38\",\"Find(2)=2, Find(4)=4, Add (2,4)=42 Succeeded, w=80\",\"Find(1)=2, Find(3)=2, Add (1,3)=65 Failed, w=80\",\"Find(0)=0, Find(3)=2, Add (0,3)=66 Succeeded, w=146\",\"Find(0)=2, Find(1)=2, Add (0,1)=83 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,83],[0,3,66],[1,2,30],[1,3,65],[2,3,8],[2,4,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(1,2)=30,(2,4)=42,(1,3)=65,(0,3)=66,(0,1)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=38\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=42 Succeeded, w=80\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=65 Failed, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(3)=2, Add (0,3)=66 Succeeded, w=146\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=83 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,89],[0,2,33],[0,3,19],[0,4,3],[0,5,26],[1,2,54],[1,3,10],[1,4,84],[1,5,38],[2,3,62],[2,5,88],[3,4,68],[3,5,80],[4,5,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,2,33],[0,3,19],[0,4,3],[0,5,26],[1,2,54],[1,3,10],[1,4,84],[1,5,38],[2,3,62],[2,5,88],[3,4,68],[3,5,80],[4,5,13]]}",
"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],\"edges\":[[0,1,89],[0,2,33],[0,3,19],[0,4,3],[0,5,26],[1,2,54],[1,3,10],[1,4,84],[1,5,38],[2,3,62],[2,5,88],[3,4,68],[3,5,80],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,3)\",\"Add (4,5)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,2,33],[0,3,19],[0,4,3],[0,5,26],[1,2,54],[1,3,10],[1,4,84],[1,5,38],[2,3,62],[2,5,88],[3,4,68],[3,5,80],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3, w=3\",\"Add (1,3)=10, w=13\",\"Add (4,5)=13, w=26\",\"Add (0,3)=19, w=45\",\"Add (0,2)=33, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,2,33],[0,3,19],[0,4,3],[0,5,26],[1,2,54],[1,3,10],[1,4,84],[1,5,38],[2,3,62],[2,5,88],[3,4,68],[3,5,80],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3 Succeeded, w=3\",\"Add (1,3)=10 Succeeded, w=13\",\"Add (4,5)=13 Succeeded, w=26\",\"Add (0,3)=19 Succeeded, w=45\",\"Add (0,5)=26 Failed, w=45\",\"Add (0,2)=33 Succeeded, w=78\",\"Add (1,5)=38 Failed, w=78\",\"Add (1,2)=54 Failed, w=78\",\"Add (2,3)=62 Failed, w=78\",\"Add (3,4)=68 Failed, w=78\",\"Add (3,5)=80 Failed, w=78\",\"Add (1,4)=84 Failed, w=78\",\"Add (2,5)=88 Failed, w=78\",\"Add (0,1)=89 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],\"edges\":[[0,1,89],[0,2,33],[0,3,19],[0,4,3],[0,5,26],[1,2,54],[1,3,10],[1,4,84],[1,5,38],[2,3,62],[2,5,88],[3,4,68],[3,5,80],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(1,3)=10,(4,5)=13,(0,3)=19,(0,5)=26,(0,2)=33,(1,5)=38,(1,2)=54,(2,3)=62,(3,4)=68,(3,5)=80,(1,4)=84,(2,5)=88,(0,1)=89]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=13\",\"Find(4)=0, Find(5)=5, Add (4,5)=13 Succeeded, w=26\",\"Find(0)=0, Find(3)=1, Add (0,3)=19 Succeeded, w=45\",\"Find(0)=0, Find(5)=0, Add (0,5)=26 Failed, w=45\",\"Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=78\",\"Find(1)=0, Find(5)=0, Add (1,5)=38 Failed, w=78\",\"Find(1)=0, Find(2)=0, Add (1,2)=54 Failed, w=78\",\"Find(2)=0, Find(3)=0, Add (2,3)=62 Failed, w=78\",\"Find(3)=0, Find(4)=0, Add (3,4)=68 Failed, w=78\",\"Find(3)=0, Find(5)=0, Add (3,5)=80 Failed, w=78\",\"Find(1)=0, Find(4)=0, Add (1,4)=84 Failed, w=78\",\"Find(2)=0, Find(5)=0, Add (2,5)=88 Failed, w=78\",\"Find(0)=0, Find(1)=0, Add (0,1)=89 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],\"edges\":[[0,1,89],[0,2,33],[0,3,19],[0,4,3],[0,5,26],[1,2,54],[1,3,10],[1,4,84],[1,5,38],[2,3,62],[2,5,88],[3,4,68],[3,5,80],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(1,3)=10,(4,5)=13,(0,3)=19,(0,5)=26,(0,2)=33,(1,5)=38,(1,2)=54,(2,3)=62,(3,4)=68,(3,5)=80,(1,4)=84,(2,5)=88,(0,1)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=13 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0, 5: 0}, Find(0)=0, Find(3)=1, Add (0,3)=19 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=26 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=38 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=54 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=62 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=68 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=80 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=84 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=88 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=89 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,34],[0,3,13],[0,4,100],[0,5,16],[0,6,16],[1,2,57],[1,3,13],[1,4,1],[1,5,34],[1,6,73],[2,3,26],[2,4,91],[2,5,40],[2,6,0],[3,4,11],[3,5,42],[3,6,93],[4,5,78],[4,6,63],[5,6,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,34],[0,3,13],[0,4,100],[0,5,16],[0,6,16],[1,2,57],[1,3,13],[1,4,1],[1,5,34],[1,6,73],[2,3,26],[2,4,91],[2,5,40],[2,6,0],[3,4,11],[3,5,42],[3,6,93],[4,5,78],[4,6,63],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,34],[0,3,13],[0,4,100],[0,5,16],[0,6,16],[1,2,57],[1,3,13],[1,4,1],[1,5,34],[1,6,73],[2,3,26],[2,4,91],[2,5,40],[2,6,0],[3,4,11],[3,5,42],[3,6,93],[4,5,78],[4,6,63],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (1,4)\",\"Add (5,6)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (0,5)\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,34],[0,3,13],[0,4,100],[0,5,16],[0,6,16],[1,2,57],[1,3,13],[1,4,1],[1,5,34],[1,6,73],[2,3,26],[2,4,91],[2,5,40],[2,6,0],[3,4,11],[3,5,42],[3,6,93],[4,5,78],[4,6,63],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=0, w=0\",\"Add (1,4)=1, w=1\",\"Add (5,6)=4, w=5\",\"Add (3,4)=11, w=16\",\"Add (0,3)=13, w=29\",\"Add (0,5)=16, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,34],[0,3,13],[0,4,100],[0,5,16],[0,6,16],[1,2,57],[1,3,13],[1,4,1],[1,5,34],[1,6,73],[2,3,26],[2,4,91],[2,5,40],[2,6,0],[3,4,11],[3,5,42],[3,6,93],[4,5,78],[4,6,63],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=0 Succeeded, w=0\",\"Add (1,4)=1 Succeeded, w=1\",\"Add (5,6)=4 Succeeded, w=5\",\"Add (3,4)=11 Succeeded, w=16\",\"Add (0,3)=13 Succeeded, w=29\",\"Add (1,3)=13 Failed, w=29\",\"Add (0,5)=16 Succeeded, w=45\",\"Add (0,6)=16 Failed, w=45\",\"Add (2,3)=26 Failed, w=45\",\"Add (0,1)=34 Failed, w=45\",\"Add (1,5)=34 Failed, w=45\",\"Add (2,5)=40 Failed, w=45\",\"Add (3,5)=42 Failed, w=45\",\"Add (1,2)=57 Failed, w=45\",\"Add (4,6)=63 Failed, w=45\",\"Add (1,6)=73 Failed, w=45\",\"Add (4,5)=78 Failed, w=45\",\"Add (2,4)=91 Failed, w=45\",\"Add (3,6)=93 Failed, w=45\",\"Add (0,4)=100 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,34],[0,3,13],[0,4,100],[0,5,16],[0,6,16],[1,2,57],[1,3,13],[1,4,1],[1,5,34],[1,6,73],[2,3,26],[2,4,91],[2,5,40],[2,6,0],[3,4,11],[3,5,42],[3,6,93],[4,5,78],[4,6,63],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=0,(1,4)=1,(5,6)=4,(3,4)=11,(0,3)=13,(1,3)=13,(0,5)=16,(0,6)=16,(2,3)=26,(0,1)=34,(1,5)=34,(2,5)=40,(3,5)=42,(1,2)=57,(4,6)=63,(1,6)=73,(4,5)=78,(2,4)=91,(3,6)=93,(0,4)=100]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=0 Succeeded, w=0\",\"Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Find(5)=5, Find(6)=2, Add (5,6)=4 Succeeded, w=5\",\"Find(3)=3, Find(4)=1, Add (3,4)=11 Succeeded, w=16\",\"Find(0)=0, Find(3)=1, Add (0,3)=13 Succeeded, w=29\",\"Find(1)=1, Find(3)=1, Add (1,3)=13 Failed, w=29\",\"Find(0)=1, Find(5)=2, Add (0,5)=16 Succeeded, w=45\",\"Find(0)=1, Find(6)=1, Add (0,6)=16 Failed, w=45\",\"Find(2)=1, Find(3)=1, Add (2,3)=26 Failed, w=45\",\"Find(0)=1, Find(1)=1, Add (0,1)=34 Failed, w=45\",\"Find(1)=1, Find(5)=1, Add (1,5)=34 Failed, w=45\",\"Find(2)=1, Find(5)=1, Add (2,5)=40 Failed, w=45\",\"Find(3)=1, Find(5)=1, Add (3,5)=42 Failed, w=45\",\"Find(1)=1, Find(2)=1, Add (1,2)=57 Failed, w=45\",\"Find(4)=1, Find(6)=1, Add (4,6)=63 Failed, w=45\",\"Find(1)=1, Find(6)=1, Add (1,6)=73 Failed, w=45\",\"Find(4)=1, Find(5)=1, Add (4,5)=78 Failed, w=45\",\"Find(2)=1, Find(4)=1, Add (2,4)=91 Failed, w=45\",\"Find(3)=1, Find(6)=1, Add (3,6)=93 Failed, w=45\",\"Find(0)=1, Find(4)=1, Add (0,4)=100 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,34],[0,3,13],[0,4,100],[0,5,16],[0,6,16],[1,2,57],[1,3,13],[1,4,1],[1,5,34],[1,6,73],[2,3,26],[2,4,91],[2,5,40],[2,6,0],[3,4,11],[3,5,42],[3,6,93],[4,5,78],[4,6,63],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=0,(1,4)=1,(5,6)=4,(3,4)=11,(0,3)=13,(1,3)=13,(0,5)=16,(0,6)=16,(2,3)=26,(0,1)=34,(1,5)=34,(2,5)=40,(3,5)=42,(1,2)=57,(4,6)=63,(1,6)=73,(4,5)=78,(2,4)=91,(3,6)=93,(0,4)=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: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 2}, Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 2}, Find(5)=5, Find(6)=2, Add (5,6)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 2}, Find(3)=3, Find(4)=1, Add (3,4)=11 Succeeded, w=16\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 2}, Find(0)=0, Find(3)=1, Add (0,3)=13 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 2}, Find(1)=1, Find(3)=1, Add (1,3)=13 Failed, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 2}, Find(0)=1, Find(5)=2, Add (0,5)=16 Succeeded, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=16 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=26 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=34 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=34 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=40 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=42 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=57 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=63 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=73 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=78 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=91 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=93 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=100 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,70],[0,2,34],[0,3,54],[0,4,75],[0,5,17],[0,6,75],[0,7,58],[1,2,29],[1,3,30],[1,4,48],[1,5,9],[1,6,80],[1,7,4],[2,3,59],[2,4,30],[2,5,53],[2,6,93],[2,7,26],[3,4,41],[3,5,5],[3,6,61],[3,7,70],[4,5,68],[4,6,44],[4,7,60],[5,6,71],[5,7,68],[6,7,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,70],[0,2,34],[0,3,54],[0,4,75],[0,5,17],[0,6,75],[0,7,58],[1,2,29],[1,3,30],[1,4,48],[1,5,9],[1,6,80],[1,7,4],[2,3,59],[2,4,30],[2,5,53],[2,6,93],[2,7,26],[3,4,41],[3,5,5],[3,6,61],[3,7,70],[4,5,68],[4,6,44],[4,7,60],[5,6,71],[5,7,68],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,70],[0,2,34],[0,3,54],[0,4,75],[0,5,17],[0,6,75],[0,7,58],[1,2,29],[1,3,30],[1,4,48],[1,5,9],[1,6,80],[1,7,4],[2,3,59],[2,4,30],[2,5,53],[2,6,93],[2,7,26],[3,4,41],[3,5,5],[3,6,61],[3,7,70],[4,5,68],[4,6,44],[4,7,60],[5,6,71],[5,7,68],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (3,5)\",\"Add (1,5)\",\"Add (0,5)\",\"Add (2,7)\",\"Add (2,4)\",\"Add (6,7)\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,70],[0,2,34],[0,3,54],[0,4,75],[0,5,17],[0,6,75],[0,7,58],[1,2,29],[1,3,30],[1,4,48],[1,5,9],[1,6,80],[1,7,4],[2,3,59],[2,4,30],[2,5,53],[2,6,93],[2,7,26],[3,4,41],[3,5,5],[3,6,61],[3,7,70],[4,5,68],[4,6,44],[4,7,60],[5,6,71],[5,7,68],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=4, w=4\",\"Add (3,5)=5, w=9\",\"Add (1,5)=9, w=18\",\"Add (0,5)=17, w=35\",\"Add (2,7)=26, w=61\",\"Add (2,4)=30, w=91\",\"Add (6,7)=39, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,70],[0,2,34],[0,3,54],[0,4,75],[0,5,17],[0,6,75],[0,7,58],[1,2,29],[1,3,30],[1,4,48],[1,5,9],[1,6,80],[1,7,4],[2,3,59],[2,4,30],[2,5,53],[2,6,93],[2,7,26],[3,4,41],[3,5,5],[3,6,61],[3,7,70],[4,5,68],[4,6,44],[4,7,60],[5,6,71],[5,7,68],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=4 Succeeded, w=4\",\"Add (3,5)=5 Succeeded, w=9\",\"Add (1,5)=9 Succeeded, w=18\",\"Add (0,5)=17 Succeeded, w=35\",\"Add (2,7)=26 Succeeded, w=61\",\"Add (1,2)=29 Failed, w=61\",\"Add (1,3)=30 Failed, w=61\",\"Add (2,4)=30 Succeeded, w=91\",\"Add (0,2)=34 Failed, w=91\",\"Add (6,7)=39 Succeeded, w=130\",\"Add (3,4)=41 Failed, w=130\",\"Add (4,6)=44 Failed, w=130\",\"Add (1,4)=48 Failed, w=130\",\"Add (2,5)=53 Failed, w=130\",\"Add (0,3)=54 Failed, w=130\",\"Add (0,7)=58 Failed, w=130\",\"Add (2,3)=59 Failed, w=130\",\"Add (4,7)=60 Failed, w=130\",\"Add (3,6)=61 Failed, w=130\",\"Add (4,5)=68 Failed, w=130\",\"Add (5,7)=68 Failed, w=130\",\"Add (0,1)=70 Failed, w=130\",\"Add (3,7)=70 Failed, w=130\",\"Add (5,6)=71 Failed, w=130\",\"Add (0,4)=75 Failed, w=130\",\"Add (0,6)=75 Failed, w=130\",\"Add (1,6)=80 Failed, w=130\",\"Add (2,6)=93 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,70],[0,2,34],[0,3,54],[0,4,75],[0,5,17],[0,6,75],[0,7,58],[1,2,29],[1,3,30],[1,4,48],[1,5,9],[1,6,80],[1,7,4],[2,3,59],[2,4,30],[2,5,53],[2,6,93],[2,7,26],[3,4,41],[3,5,5],[3,6,61],[3,7,70],[4,5,68],[4,6,44],[4,7,60],[5,6,71],[5,7,68],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=4,(3,5)=5,(1,5)=9,(0,5)=17,(2,7)=26,(1,2)=29,(1,3)=30,(2,4)=30,(0,2)=34,(6,7)=39,(3,4)=41,(4,6)=44,(1,4)=48,(2,5)=53,(0,3)=54,(0,7)=58,(2,3)=59,(4,7)=60,(3,6)=61,(4,5)=68,(5,7)=68,(0,1)=70,(3,7)=70,(5,6)=71,(0,4)=75,(0,6)=75,(1,6)=80,(2,6)=93]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=4 Succeeded, w=4\",\"Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=9\",\"Find(1)=1, Find(5)=3, Add (1,5)=9 Succeeded, w=18\",\"Find(0)=0, Find(5)=1, Add (0,5)=17 Succeeded, w=35\",\"Find(2)=2, Find(7)=1, Add (2,7)=26 Succeeded, w=61\",\"Find(1)=1, Find(2)=1, Add (1,2)=29 Failed, w=61\",\"Find(1)=1, Find(3)=1, Add (1,3)=30 Failed, w=61\",\"Find(2)=1, Find(4)=4, Add (2,4)=30 Succeeded, w=91\",\"Find(0)=1, Find(2)=1, Add (0,2)=34 Failed, w=91\",\"Find(6)=6, Find(7)=1, Add (6,7)=39 Succeeded, w=130\",\"Find(3)=1, Find(4)=1, Add (3,4)=41 Failed, w=130\",\"Find(4)=1, Find(6)=1, Add (4,6)=44 Failed, w=130\",\"Find(1)=1, Find(4)=1, Add (1,4)=48 Failed, w=130\",\"Find(2)=1, Find(5)=1, Add (2,5)=53 Failed, w=130\",\"Find(0)=1, Find(3)=1, Add (0,3)=54 Failed, w=130\",\"Find(0)=1, Find(7)=1, Add (0,7)=58 Failed, w=130\",\"Find(2)=1, Find(3)=1, Add (2,3)=59 Failed, w=130\",\"Find(4)=1, Find(7)=1, Add (4,7)=60 Failed, w=130\",\"Find(3)=1, Find(6)=1, Add (3,6)=61 Failed, w=130\",\"Find(4)=1, Find(5)=1, Add (4,5)=68 Failed, w=130\",\"Find(5)=1, Find(7)=1, Add (5,7)=68 Failed, w=130\",\"Find(0)=1, Find(1)=1, Add (0,1)=70 Failed, w=130\",\"Find(3)=1, Find(7)=1, Add (3,7)=70 Failed, w=130\",\"Find(5)=1, Find(6)=1, Add (5,6)=71 Failed, w=130\",\"Find(0)=1, Find(4)=1, Add (0,4)=75 Failed, w=130\",\"Find(0)=1, Find(6)=1, Add (0,6)=75 Failed, w=130\",\"Find(1)=1, Find(6)=1, Add (1,6)=80 Failed, w=130\",\"Find(2)=1, Find(6)=1, Add (2,6)=93 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,70],[0,2,34],[0,3,54],[0,4,75],[0,5,17],[0,6,75],[0,7,58],[1,2,29],[1,3,30],[1,4,48],[1,5,9],[1,6,80],[1,7,4],[2,3,59],[2,4,30],[2,5,53],[2,6,93],[2,7,26],[3,4,41],[3,5,5],[3,6,61],[3,7,70],[4,5,68],[4,6,44],[4,7,60],[5,6,71],[5,7,68],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=4,(3,5)=5,(1,5)=9,(0,5)=17,(2,7)=26,(1,2)=29,(1,3)=30,(2,4)=30,(0,2)=34,(6,7)=39,(3,4)=41,(4,6)=44,(1,4)=48,(2,5)=53,(0,3)=54,(0,7)=58,(2,3)=59,(4,7)=60,(3,6)=61,(4,5)=68,(5,7)=68,(0,1)=70,(3,7)=70,(5,6)=71,(0,4)=75,(0,6)=75,(1,6)=80,(2,6)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 1}, Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 3, 6: 6, 7: 1}, Find(1)=1, Find(5)=3, Add (1,5)=9 Succeeded, w=18\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1}, Find(0)=0, Find(5)=1, Add (0,5)=17 Succeeded, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1}, Find(2)=2, Find(7)=1, Add (2,7)=26 Succeeded, w=61\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=29 Failed, w=61\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1}, Find(1)=1, Find(3)=1, Add (1,3)=30 Failed, w=61\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(2)=1, Find(4)=4, Add (2,4)=30 Succeeded, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=34 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=6, Find(7)=1, Add (6,7)=39 Succeeded, w=130\",\"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)=41 Failed, w=130\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=44 Failed, w=130\",\"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)=48 Failed, w=130\",\"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)=53 Failed, w=130\",\"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)=54 Failed, w=130\",\"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)=58 Failed, w=130\",\"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)=59 Failed, w=130\",\"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)=60 Failed, w=130\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=61 Failed, w=130\",\"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)=68 Failed, w=130\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=68 Failed, w=130\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=70 Failed, w=130\",\"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)=70 Failed, w=130\",\"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)=71 Failed, w=130\",\"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)=75 Failed, w=130\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=75 Failed, w=130\",\"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)=80 Failed, w=130\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(6)=1, Add (2,6)=93 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,42],[0,2,6],[0,3,2],[0,4,82],[0,6,33],[1,3,64],[1,5,81],[2,3,82],[2,4,18],[3,4,79],[3,5,2],[3,6,47],[4,6,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,2,6],[0,3,2],[0,4,82],[0,6,33],[1,3,64],[1,5,81],[2,3,82],[2,4,18],[3,4,79],[3,5,2],[3,6,47],[4,6,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,2,6],[0,3,2],[0,4,82],[0,6,33],[1,3,64],[1,5,81],[2,3,82],[2,4,18],[3,4,79],[3,5,2],[3,6,47],[4,6,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (3,5)\",\"Add (0,2)\",\"Add (2,4)\",\"Add (0,6)\",\"Add (0,1)\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,2,6],[0,3,2],[0,4,82],[0,6,33],[1,3,64],[1,5,81],[2,3,82],[2,4,18],[3,4,79],[3,5,2],[3,6,47],[4,6,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2, w=2\",\"Add (3,5)=2, w=4\",\"Add (0,2)=6, w=10\",\"Add (2,4)=18, w=28\",\"Add (0,6)=33, w=61\",\"Add (0,1)=42, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,2,6],[0,3,2],[0,4,82],[0,6,33],[1,3,64],[1,5,81],[2,3,82],[2,4,18],[3,4,79],[3,5,2],[3,6,47],[4,6,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2 Succeeded, w=2\",\"Add (3,5)=2 Succeeded, w=4\",\"Add (0,2)=6 Succeeded, w=10\",\"Add (2,4)=18 Succeeded, w=28\",\"Add (0,6)=33 Succeeded, w=61\",\"Add (0,1)=42 Succeeded, w=103\",\"Add (3,6)=47 Failed, w=103\",\"Add (1,3)=64 Failed, w=103\",\"Add (3,4)=79 Failed, w=103\",\"Add (1,5)=81 Failed, w=103\",\"Add (0,4)=82 Failed, w=103\",\"Add (2,3)=82 Failed, w=103\",\"Add (4,6)=84 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,2,6],[0,3,2],[0,4,82],[0,6,33],[1,3,64],[1,5,81],[2,3,82],[2,4,18],[3,4,79],[3,5,2],[3,6,47],[4,6,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(3,5)=2,(0,2)=6,(2,4)=18,(0,6)=33,(0,1)=42,(3,6)=47,(1,3)=64,(3,4)=79,(1,5)=81,(0,4)=82,(2,3)=82,(4,6)=84]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Find(3)=0, Find(5)=5, Add (3,5)=2 Succeeded, w=4\",\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=10\",\"Find(2)=0, Find(4)=4, Add (2,4)=18 Succeeded, w=28\",\"Find(0)=0, Find(6)=6, Add (0,6)=33 Succeeded, w=61\",\"Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=103\",\"Find(3)=0, Find(6)=0, Add (3,6)=47 Failed, w=103\",\"Find(1)=0, Find(3)=0, Add (1,3)=64 Failed, w=103\",\"Find(3)=0, Find(4)=0, Add (3,4)=79 Failed, w=103\",\"Find(1)=0, Find(5)=0, Add (1,5)=81 Failed, w=103\",\"Find(0)=0, Find(4)=0, Add (0,4)=82 Failed, w=103\",\"Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=103\",\"Find(4)=0, Find(6)=0, Add (4,6)=84 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,2,6],[0,3,2],[0,4,82],[0,6,33],[1,3,64],[1,5,81],[2,3,82],[2,4,18],[3,4,79],[3,5,2],[3,6,47],[4,6,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(3,5)=2,(0,2)=6,(2,4)=18,(0,6)=33,(0,1)=42,(3,6)=47,(1,3)=64,(3,4)=79,(1,5)=81,(0,4)=82,(2,3)=82,(4,6)=84]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6}, Find(3)=0, Find(5)=5, Add (3,5)=2 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(2)=0, Find(4)=4, Add (2,4)=18 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=33 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=47 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=64 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=79 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=81 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=82 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=84 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,69],[0,3,85],[0,4,91],[0,5,50],[0,7,94],[1,2,86],[1,3,5],[1,5,35],[1,6,49],[1,7,30],[2,3,85],[2,4,58],[2,6,7],[3,4,98],[3,6,58],[4,5,29],[4,6,29],[4,7,50],[5,6,52],[5,7,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,69],[0,3,85],[0,4,91],[0,5,50],[0,7,94],[1,2,86],[1,3,5],[1,5,35],[1,6,49],[1,7,30],[2,3,85],[2,4,58],[2,6,7],[3,4,98],[3,6,58],[4,5,29],[4,6,29],[4,7,50],[5,6,52],[5,7,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,69],[0,3,85],[0,4,91],[0,5,50],[0,7,94],[1,2,86],[1,3,5],[1,5,35],[1,6,49],[1,7,30],[2,3,85],[2,4,58],[2,6,7],[3,4,98],[3,6,58],[4,5,29],[4,6,29],[4,7,50],[5,6,52],[5,7,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,6)\",\"Add (4,5)\",\"Add (4,6)\",\"Add (1,7)\",\"Add (1,5)\",\"Add (0,5)\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,69],[0,3,85],[0,4,91],[0,5,50],[0,7,94],[1,2,86],[1,3,5],[1,5,35],[1,6,49],[1,7,30],[2,3,85],[2,4,58],[2,6,7],[3,4,98],[3,6,58],[4,5,29],[4,6,29],[4,7,50],[5,6,52],[5,7,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5, w=5\",\"Add (2,6)=7, w=12\",\"Add (4,5)=29, w=41\",\"Add (4,6)=29, w=70\",\"Add (1,7)=30, w=100\",\"Add (1,5)=35, w=135\",\"Add (0,5)=50, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,69],[0,3,85],[0,4,91],[0,5,50],[0,7,94],[1,2,86],[1,3,5],[1,5,35],[1,6,49],[1,7,30],[2,3,85],[2,4,58],[2,6,7],[3,4,98],[3,6,58],[4,5,29],[4,6,29],[4,7,50],[5,6,52],[5,7,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5 Succeeded, w=5\",\"Add (2,6)=7 Succeeded, w=12\",\"Add (4,5)=29 Succeeded, w=41\",\"Add (4,6)=29 Succeeded, w=70\",\"Add (1,7)=30 Succeeded, w=100\",\"Add (1,5)=35 Succeeded, w=135\",\"Add (1,6)=49 Failed, w=135\",\"Add (0,5)=50 Succeeded, w=185\",\"Add (4,7)=50 Failed, w=185\",\"Add (5,6)=52 Failed, w=185\",\"Add (2,4)=58 Failed, w=185\",\"Add (3,6)=58 Failed, w=185\",\"Add (5,7)=58 Failed, w=185\",\"Add (0,2)=69 Failed, w=185\",\"Add (0,3)=85 Failed, w=185\",\"Add (2,3)=85 Failed, w=185\",\"Add (1,2)=86 Failed, w=185\",\"Add (0,4)=91 Failed, w=185\",\"Add (0,7)=94 Failed, w=185\",\"Add (3,4)=98 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,69],[0,3,85],[0,4,91],[0,5,50],[0,7,94],[1,2,86],[1,3,5],[1,5,35],[1,6,49],[1,7,30],[2,3,85],[2,4,58],[2,6,7],[3,4,98],[3,6,58],[4,5,29],[4,6,29],[4,7,50],[5,6,52],[5,7,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(2,6)=7,(4,5)=29,(4,6)=29,(1,7)=30,(1,5)=35,(1,6)=49,(0,5)=50,(4,7)=50,(5,6)=52,(2,4)=58,(3,6)=58,(5,7)=58,(0,2)=69,(0,3)=85,(2,3)=85,(1,2)=86,(0,4)=91,(0,7)=94,(3,4)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Find(2)=2, Find(6)=6, Add (2,6)=7 Succeeded, w=12\",\"Find(4)=4, Find(5)=5, Add (4,5)=29 Succeeded, w=41\",\"Find(4)=4, Find(6)=2, Add (4,6)=29 Succeeded, w=70\",\"Find(1)=1, Find(7)=7, Add (1,7)=30 Succeeded, w=100\",\"Find(1)=1, Find(5)=4, Add (1,5)=35 Succeeded, w=135\",\"Find(1)=4, Find(6)=4, Add (1,6)=49 Failed, w=135\",\"Find(0)=0, Find(5)=4, Add (0,5)=50 Succeeded, w=185\",\"Find(4)=4, Find(7)=4, Add (4,7)=50 Failed, w=185\",\"Find(5)=4, Find(6)=4, Add (5,6)=52 Failed, w=185\",\"Find(2)=4, Find(4)=4, Add (2,4)=58 Failed, w=185\",\"Find(3)=4, Find(6)=4, Add (3,6)=58 Failed, w=185\",\"Find(5)=4, Find(7)=4, Add (5,7)=58 Failed, w=185\",\"Find(0)=4, Find(2)=4, Add (0,2)=69 Failed, w=185\",\"Find(0)=4, Find(3)=4, Add (0,3)=85 Failed, w=185\",\"Find(2)=4, Find(3)=4, Add (2,3)=85 Failed, w=185\",\"Find(1)=4, Find(2)=4, Add (1,2)=86 Failed, w=185\",\"Find(0)=4, Find(4)=4, Add (0,4)=91 Failed, w=185\",\"Find(0)=4, Find(7)=4, Add (0,7)=94 Failed, w=185\",\"Find(3)=4, Find(4)=4, Add (3,4)=98 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,69],[0,3,85],[0,4,91],[0,5,50],[0,7,94],[1,2,86],[1,3,5],[1,5,35],[1,6,49],[1,7,30],[2,3,85],[2,4,58],[2,6,7],[3,4,98],[3,6,58],[4,5,29],[4,6,29],[4,7,50],[5,6,52],[5,7,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(2,6)=7,(4,5)=29,(4,6)=29,(1,7)=30,(1,5)=35,(1,6)=49,(0,5)=50,(4,7)=50,(5,6)=52,(2,4)=58,(3,6)=58,(5,7)=58,(0,2)=69,(0,3)=85,(2,3)=85,(1,2)=86,(0,4)=91,(0,7)=94,(3,4)=98]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=7 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4, 6: 2, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=29 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 1, 4: 4, 5: 4, 6: 2, 7: 7}, Find(4)=4, Find(6)=2, Add (4,6)=29 Succeeded, w=70\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 1, 4: 4, 5: 4, 6: 2, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=30 Succeeded, w=100\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 1, 4: 4, 5: 4, 6: 2, 7: 1}, Find(1)=1, Find(5)=4, Add (1,5)=35 Succeeded, w=135\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 1, 4: 4, 5: 4, 6: 4, 7: 1}, Find(1)=4, Find(6)=4, Add (1,6)=49 Failed, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 1, 4: 4, 5: 4, 6: 4, 7: 1}, Find(0)=0, Find(5)=4, Add (0,5)=50 Succeeded, w=185\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 1, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(7)=4, Add (4,7)=50 Failed, w=185\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 1, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(6)=4, Add (5,6)=52 Failed, w=185\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 1, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(4)=4, Add (2,4)=58 Failed, w=185\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(6)=4, Add (3,6)=58 Failed, w=185\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(7)=4, Add (5,7)=58 Failed, w=185\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(2)=4, Add (0,2)=69 Failed, w=185\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(3)=4, Add (0,3)=85 Failed, w=185\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(3)=4, Add (2,3)=85 Failed, w=185\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(2)=4, Add (1,2)=86 Failed, w=185\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(4)=4, Add (0,4)=91 Failed, w=185\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(7)=4, Add (0,7)=94 Failed, w=185\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(4)=4, Add (3,4)=98 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,69],[0,4,95],[0,5,19],[0,6,22],[1,3,80],[1,4,18],[1,6,80],[2,4,97],[2,5,23],[2,6,26],[3,4,46],[3,5,4],[3,6,7],[4,5,68],[5,6,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,4,95],[0,5,19],[0,6,22],[1,3,80],[1,4,18],[1,6,80],[2,4,97],[2,5,23],[2,6,26],[3,4,46],[3,5,4],[3,6,7],[4,5,68],[5,6,27]]}",
"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],\"edges\":[[0,1,69],[0,4,95],[0,5,19],[0,6,22],[1,3,80],[1,4,18],[1,6,80],[2,4,97],[2,5,23],[2,6,26],[3,4,46],[3,5,4],[3,6,7],[4,5,68],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (3,6)\",\"Add (1,4)\",\"Add (0,5)\",\"Add (2,5)\",\"Add (3,4)\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,4,95],[0,5,19],[0,6,22],[1,3,80],[1,4,18],[1,6,80],[2,4,97],[2,5,23],[2,6,26],[3,4,46],[3,5,4],[3,6,7],[4,5,68],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=4, w=4\",\"Add (3,6)=7, w=11\",\"Add (1,4)=18, w=29\",\"Add (0,5)=19, w=48\",\"Add (2,5)=23, w=71\",\"Add (3,4)=46, 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],\"edges\":[[0,1,69],[0,4,95],[0,5,19],[0,6,22],[1,3,80],[1,4,18],[1,6,80],[2,4,97],[2,5,23],[2,6,26],[3,4,46],[3,5,4],[3,6,7],[4,5,68],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=4 Succeeded, w=4\",\"Add (3,6)=7 Succeeded, w=11\",\"Add (1,4)=18 Succeeded, w=29\",\"Add (0,5)=19 Succeeded, w=48\",\"Add (0,6)=22 Failed, w=48\",\"Add (2,5)=23 Succeeded, w=71\",\"Add (2,6)=26 Failed, w=71\",\"Add (5,6)=27 Failed, w=71\",\"Add (3,4)=46 Succeeded, w=117\",\"Add (4,5)=68 Failed, w=117\",\"Add (0,1)=69 Failed, w=117\",\"Add (1,3)=80 Failed, w=117\",\"Add (1,6)=80 Failed, w=117\",\"Add (0,4)=95 Failed, w=117\",\"Add (2,4)=97 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],\"edges\":[[0,1,69],[0,4,95],[0,5,19],[0,6,22],[1,3,80],[1,4,18],[1,6,80],[2,4,97],[2,5,23],[2,6,26],[3,4,46],[3,5,4],[3,6,7],[4,5,68],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=4,(3,6)=7,(1,4)=18,(0,5)=19,(0,6)=22,(2,5)=23,(2,6)=26,(5,6)=27,(3,4)=46,(4,5)=68,(0,1)=69,(1,3)=80,(1,6)=80,(0,4)=95,(2,4)=97]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=4 Succeeded, w=4\",\"Find(3)=3, Find(6)=6, Add (3,6)=7 Succeeded, w=11\",\"Find(1)=1, Find(4)=4, Add (1,4)=18 Succeeded, w=29\",\"Find(0)=0, Find(5)=3, Add (0,5)=19 Succeeded, w=48\",\"Find(0)=3, Find(6)=3, Add (0,6)=22 Failed, w=48\",\"Find(2)=2, Find(5)=3, Add (2,5)=23 Succeeded, w=71\",\"Find(2)=3, Find(6)=3, Add (2,6)=26 Failed, w=71\",\"Find(5)=3, Find(6)=3, Add (5,6)=27 Failed, w=71\",\"Find(3)=3, Find(4)=1, Add (3,4)=46 Succeeded, w=117\",\"Find(4)=3, Find(5)=3, Add (4,5)=68 Failed, w=117\",\"Find(0)=3, Find(1)=3, Add (0,1)=69 Failed, w=117\",\"Find(1)=3, Find(3)=3, Add (1,3)=80 Failed, w=117\",\"Find(1)=3, Find(6)=3, Add (1,6)=80 Failed, w=117\",\"Find(0)=3, Find(4)=3, Add (0,4)=95 Failed, w=117\",\"Find(2)=3, Find(4)=3, Add (2,4)=97 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],\"edges\":[[0,1,69],[0,4,95],[0,5,19],[0,6,22],[1,3,80],[1,4,18],[1,6,80],[2,4,97],[2,5,23],[2,6,26],[3,4,46],[3,5,4],[3,6,7],[4,5,68],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=4,(3,6)=7,(1,4)=18,(0,5)=19,(0,6)=22,(2,5)=23,(2,6)=26,(5,6)=27,(3,4)=46,(4,5)=68,(0,1)=69,(1,3)=80,(1,6)=80,(0,4)=95,(2,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=7 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3, 6: 3}, Find(1)=1, Find(4)=4, Add (1,4)=18 Succeeded, w=29\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3, 6: 3}, Find(0)=0, Find(5)=3, Add (0,5)=19 Succeeded, w=48\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3, 6: 3}, Find(0)=3, Find(6)=3, Add (0,6)=22 Failed, w=48\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 1, 5: 3, 6: 3}, Find(2)=2, Find(5)=3, Add (2,5)=23 Succeeded, w=71\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 1, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=26 Failed, w=71\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 1, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=27 Failed, w=71\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 1, 5: 3, 6: 3}, Find(3)=3, Find(4)=1, Add (3,4)=46 Succeeded, w=117\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=68 Failed, w=117\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=69 Failed, w=117\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=80 Failed, w=117\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=80 Failed, w=117\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=95 Failed, w=117\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=97 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,6],[0,2,11],[1,4,66],[1,5,20],[2,4,70],[2,5,44],[3,4,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,11],[1,4,66],[1,5,20],[2,4,70],[2,5,44],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,11],[1,4,66],[1,5,20],[2,4,70],[2,5,44],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (1,5)\",\"Add (3,4)\",\"Add (1,4)\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,11],[1,4,66],[1,5,20],[2,4,70],[2,5,44],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6, w=6\",\"Add (0,2)=11, w=17\",\"Add (1,5)=20, w=37\",\"Add (3,4)=38, w=75\",\"Add (1,4)=66, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,11],[1,4,66],[1,5,20],[2,4,70],[2,5,44],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6 Succeeded, w=6\",\"Add (0,2)=11 Succeeded, w=17\",\"Add (1,5)=20 Succeeded, w=37\",\"Add (3,4)=38 Succeeded, w=75\",\"Add (2,5)=44 Failed, w=75\",\"Add (1,4)=66 Succeeded, w=141\",\"Add (2,4)=70 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,11],[1,4,66],[1,5,20],[2,4,70],[2,5,44],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(0,2)=11,(1,5)=20,(3,4)=38,(2,5)=44,(1,4)=66,(2,4)=70]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=17\",\"Find(1)=0, Find(5)=5, Add (1,5)=20 Succeeded, w=37\",\"Find(3)=3, Find(4)=4, Add (3,4)=38 Succeeded, w=75\",\"Find(2)=0, Find(5)=0, Add (2,5)=44 Failed, w=75\",\"Find(1)=0, Find(4)=3, Add (1,4)=66 Succeeded, w=141\",\"Find(2)=0, Find(4)=0, Add (2,4)=70 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,11],[1,4,66],[1,5,20],[2,4,70],[2,5,44],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(0,2)=11,(1,5)=20,(3,4)=38,(2,5)=44,(1,4)=66,(2,4)=70]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=20 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 0}, Find(3)=3, Find(4)=4, Add (3,4)=38 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=44 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(1)=0, Find(4)=3, Add (1,4)=66 Succeeded, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=70 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,94],[0,2,17],[0,3,97],[1,2,39],[1,3,97],[2,3,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,17],[0,3,97],[1,2,39],[1,3,97],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,17],[0,3,97],[1,2,39],[1,3,97],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,17],[0,3,97],[1,2,39],[1,3,97],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=17, w=17\",\"Add (1,2)=39, w=56\",\"Add (2,3)=49, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,17],[0,3,97],[1,2,39],[1,3,97],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=17 Succeeded, w=17\",\"Add (1,2)=39 Succeeded, w=56\",\"Add (2,3)=49 Succeeded, w=105\",\"Add (0,1)=94 Failed, w=105\",\"Add (0,3)=97 Failed, w=105\",\"Add (1,3)=97 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,17],[0,3,97],[1,2,39],[1,3,97],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=17,(1,2)=39,(2,3)=49,(0,1)=94,(0,3)=97,(1,3)=97]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=17\",\"Find(1)=1, Find(2)=0, Add (1,2)=39 Succeeded, w=56\",\"Find(2)=0, Find(3)=3, Add (2,3)=49 Succeeded, w=105\",\"Find(0)=0, Find(1)=0, Add (0,1)=94 Failed, w=105\",\"Find(0)=0, Find(3)=0, Add (0,3)=97 Failed, w=105\",\"Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,17],[0,3,97],[1,2,39],[1,3,97],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=17,(1,2)=39,(2,3)=49,(0,1)=94,(0,3)=97,(1,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=1, Find(2)=0, Add (1,2)=39 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=49 Succeeded, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=94 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=97 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,12],[0,3,9],[0,4,45],[1,2,48],[1,4,21],[2,3,73],[2,4,79],[2,5,6],[3,5,75],[4,5,76]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,12],[0,3,9],[0,4,45],[1,2,48],[1,4,21],[2,3,73],[2,4,79],[2,5,6],[3,5,75],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,12],[0,3,9],[0,4,45],[1,2,48],[1,4,21],[2,3,73],[2,4,79],[2,5,6],[3,5,75],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (0,4)\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,12],[0,3,9],[0,4,45],[1,2,48],[1,4,21],[2,3,73],[2,4,79],[2,5,6],[3,5,75],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=6, w=6\",\"Add (0,3)=9, w=15\",\"Add (0,2)=12, w=27\",\"Add (1,4)=21, w=48\",\"Add (0,4)=45, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,12],[0,3,9],[0,4,45],[1,2,48],[1,4,21],[2,3,73],[2,4,79],[2,5,6],[3,5,75],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=6 Succeeded, w=6\",\"Add (0,3)=9 Succeeded, w=15\",\"Add (0,2)=12 Succeeded, w=27\",\"Add (1,4)=21 Succeeded, w=48\",\"Add (0,4)=45 Succeeded, w=93\",\"Add (1,2)=48 Failed, w=93\",\"Add (2,3)=73 Failed, w=93\",\"Add (3,5)=75 Failed, w=93\",\"Add (4,5)=76 Failed, w=93\",\"Add (2,4)=79 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,12],[0,3,9],[0,4,45],[1,2,48],[1,4,21],[2,3,73],[2,4,79],[2,5,6],[3,5,75],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=6,(0,3)=9,(0,2)=12,(1,4)=21,(0,4)=45,(1,2)=48,(2,3)=73,(3,5)=75,(4,5)=76,(2,4)=79]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=6\",\"Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=15\",\"Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=27\",\"Find(1)=1, Find(4)=4, Add (1,4)=21 Succeeded, w=48\",\"Find(0)=0, Find(4)=1, Add (0,4)=45 Succeeded, w=93\",\"Find(1)=0, Find(2)=0, Add (1,2)=48 Failed, w=93\",\"Find(2)=0, Find(3)=0, Add (2,3)=73 Failed, w=93\",\"Find(3)=0, Find(5)=0, Add (3,5)=75 Failed, w=93\",\"Find(4)=0, Find(5)=0, Add (4,5)=76 Failed, w=93\",\"Find(2)=0, Find(4)=0, Add (2,4)=79 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,12],[0,3,9],[0,4,45],[1,2,48],[1,4,21],[2,3,73],[2,4,79],[2,5,6],[3,5,75],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=6,(0,3)=9,(0,2)=12,(1,4)=21,(0,4)=45,(1,2)=48,(2,3)=73,(3,5)=75,(4,5)=76,(2,4)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 2}, Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 2}, Find(1)=1, Find(4)=4, Add (1,4)=21 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 2}, Find(0)=0, Find(4)=1, Add (0,4)=45 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 2}, Find(1)=0, Find(2)=0, Add (1,2)=48 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 2}, Find(2)=0, Find(3)=0, Add (2,3)=73 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=75 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=76 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=79 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,66],[0,4,45],[0,5,12],[1,2,68],[1,4,97],[1,5,13],[1,6,69],[2,3,50],[2,5,23],[3,4,63],[3,5,86],[4,5,46],[4,6,66]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,66],[0,4,45],[0,5,12],[1,2,68],[1,4,97],[1,5,13],[1,6,69],[2,3,50],[2,5,23],[3,4,63],[3,5,86],[4,5,46],[4,6,66]]}",
"role": "user"
},
{
"content": "{\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,66],[0,4,45],[0,5,12],[1,2,68],[1,4,97],[1,5,13],[1,6,69],[2,3,50],[2,5,23],[3,4,63],[3,5,86],[4,5,46],[4,6,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,5)\",\"Add (2,5)\",\"Add (0,4)\",\"Add (2,3)\",\"Add (4,6)\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,66],[0,4,45],[0,5,12],[1,2,68],[1,4,97],[1,5,13],[1,6,69],[2,3,50],[2,5,23],[3,4,63],[3,5,86],[4,5,46],[4,6,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=12, w=12\",\"Add (1,5)=13, w=25\",\"Add (2,5)=23, w=48\",\"Add (0,4)=45, w=93\",\"Add (2,3)=50, w=143\",\"Add (4,6)=66, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,66],[0,4,45],[0,5,12],[1,2,68],[1,4,97],[1,5,13],[1,6,69],[2,3,50],[2,5,23],[3,4,63],[3,5,86],[4,5,46],[4,6,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=12 Succeeded, w=12\",\"Add (1,5)=13 Succeeded, w=25\",\"Add (2,5)=23 Succeeded, w=48\",\"Add (0,4)=45 Succeeded, w=93\",\"Add (4,5)=46 Failed, w=93\",\"Add (2,3)=50 Succeeded, w=143\",\"Add (3,4)=63 Failed, w=143\",\"Add (0,1)=66 Failed, w=143\",\"Add (4,6)=66 Succeeded, w=209\",\"Add (1,2)=68 Failed, w=209\",\"Add (1,6)=69 Failed, w=209\",\"Add (3,5)=86 Failed, w=209\",\"Add (1,4)=97 Failed, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,66],[0,4,45],[0,5,12],[1,2,68],[1,4,97],[1,5,13],[1,6,69],[2,3,50],[2,5,23],[3,4,63],[3,5,86],[4,5,46],[4,6,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=12,(1,5)=13,(2,5)=23,(0,4)=45,(4,5)=46,(2,3)=50,(3,4)=63,(0,1)=66,(4,6)=66,(1,2)=68,(1,6)=69,(3,5)=86,(1,4)=97]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=12 Succeeded, w=12\",\"Find(1)=1, Find(5)=0, Add (1,5)=13 Succeeded, w=25\",\"Find(2)=2, Find(5)=0, Add (2,5)=23 Succeeded, w=48\",\"Find(0)=0, Find(4)=4, Add (0,4)=45 Succeeded, w=93\",\"Find(4)=0, Find(5)=0, Add (4,5)=46 Failed, w=93\",\"Find(2)=0, Find(3)=3, Add (2,3)=50 Succeeded, w=143\",\"Find(3)=0, Find(4)=0, Add (3,4)=63 Failed, w=143\",\"Find(0)=0, Find(1)=0, Add (0,1)=66 Failed, w=143\",\"Find(4)=0, Find(6)=6, Add (4,6)=66 Succeeded, w=209\",\"Find(1)=0, Find(2)=0, Add (1,2)=68 Failed, w=209\",\"Find(1)=0, Find(6)=0, Add (1,6)=69 Failed, w=209\",\"Find(3)=0, Find(5)=0, Add (3,5)=86 Failed, w=209\",\"Find(1)=0, Find(4)=0, Add (1,4)=97 Failed, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,66],[0,4,45],[0,5,12],[1,2,68],[1,4,97],[1,5,13],[1,6,69],[2,3,50],[2,5,23],[3,4,63],[3,5,86],[4,5,46],[4,6,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=12,(1,5)=13,(2,5)=23,(0,4)=45,(4,5)=46,(2,3)=50,(3,4)=63,(0,1)=66,(4,6)=66,(1,2)=68,(1,6)=69,(3,5)=86,(1,4)=97]\",\"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)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(1)=1, Find(5)=0, Add (1,5)=13 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6}, Find(2)=2, Find(5)=0, Add (2,5)=23 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=45 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6}, Find(4)=0, Find(5)=0, Add (4,5)=46 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(2)=0, Find(3)=3, Add (2,3)=50 Succeeded, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(3)=0, Find(4)=0, Add (3,4)=63 Failed, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(1)=0, Add (0,1)=66 Failed, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=6, Add (4,6)=66 Succeeded, w=209\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=68 Failed, w=209\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=69 Failed, w=209\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=86 Failed, w=209\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=97 Failed, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,82],[0,3,30],[0,4,67],[1,2,54],[1,3,46],[1,4,8],[2,4,13],[3,4,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,82],[0,3,30],[0,4,67],[1,2,54],[1,3,46],[1,4,8],[2,4,13],[3,4,34]]}",
"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\":[[0,2,82],[0,3,30],[0,4,67],[1,2,54],[1,3,46],[1,4,8],[2,4,13],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (3,4)\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,82],[0,3,30],[0,4,67],[1,2,54],[1,3,46],[1,4,8],[2,4,13],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=8, w=8\",\"Add (2,4)=13, w=21\",\"Add (0,3)=30, w=51\",\"Add (3,4)=34, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,82],[0,3,30],[0,4,67],[1,2,54],[1,3,46],[1,4,8],[2,4,13],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=8 Succeeded, w=8\",\"Add (2,4)=13 Succeeded, w=21\",\"Add (0,3)=30 Succeeded, w=51\",\"Add (3,4)=34 Succeeded, w=85\",\"Add (1,3)=46 Failed, w=85\",\"Add (1,2)=54 Failed, w=85\",\"Add (0,4)=67 Failed, w=85\",\"Add (0,2)=82 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\":[[0,2,82],[0,3,30],[0,4,67],[1,2,54],[1,3,46],[1,4,8],[2,4,13],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=8,(2,4)=13,(0,3)=30,(3,4)=34,(1,3)=46,(1,2)=54,(0,4)=67,(0,2)=82]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=8\",\"Find(2)=2, Find(4)=1, Add (2,4)=13 Succeeded, w=21\",\"Find(0)=0, Find(3)=3, Add (0,3)=30 Succeeded, w=51\",\"Find(3)=0, Find(4)=1, Add (3,4)=34 Succeeded, w=85\",\"Find(1)=0, Find(3)=0, Add (1,3)=46 Failed, w=85\",\"Find(1)=0, Find(2)=0, Add (1,2)=54 Failed, w=85\",\"Find(0)=0, Find(4)=0, Add (0,4)=67 Failed, w=85\",\"Find(0)=0, Find(2)=0, Add (0,2)=82 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\":[[0,2,82],[0,3,30],[0,4,67],[1,2,54],[1,3,46],[1,4,8],[2,4,13],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=8,(2,4)=13,(0,3)=30,(3,4)=34,(1,3)=46,(1,2)=54,(0,4)=67,(0,2)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=13 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1}, Find(0)=0, Find(3)=3, Add (0,3)=30 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1}, Find(3)=0, Find(4)=1, Add (3,4)=34 Succeeded, w=85\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1}, Find(1)=0, Find(3)=0, Add (1,3)=46 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(1)=0, Find(2)=0, Add (1,2)=54 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=67 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=82 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,95],[0,3,93],[1,2,59],[1,3,53],[2,3,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,95],[0,3,93],[1,2,59],[1,3,53],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,95],[0,3,93],[1,2,59],[1,3,53],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,95],[0,3,93],[1,2,59],[1,3,53],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=53, w=53\",\"Add (1,2)=59, w=112\",\"Add (0,3)=93, w=205\"],\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,95],[0,3,93],[1,2,59],[1,3,53],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=53 Succeeded, w=53\",\"Add (1,2)=59 Succeeded, w=112\",\"Add (2,3)=81 Failed, w=112\",\"Add (0,3)=93 Succeeded, w=205\",\"Add (0,2)=95 Failed, w=205\"],\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,95],[0,3,93],[1,2,59],[1,3,53],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=53,(1,2)=59,(2,3)=81,(0,3)=93,(0,2)=95]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=53 Succeeded, w=53\",\"Find(1)=1, Find(2)=2, Add (1,2)=59 Succeeded, w=112\",\"Find(2)=1, Find(3)=1, Add (2,3)=81 Failed, w=112\",\"Find(0)=0, Find(3)=1, Add (0,3)=93 Succeeded, w=205\",\"Find(0)=1, Find(2)=1, Add (0,2)=95 Failed, w=205\"],\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,95],[0,3,93],[1,2,59],[1,3,53],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=53,(1,2)=59,(2,3)=81,(0,3)=93,(0,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=53 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=59 Succeeded, w=112\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=81 Failed, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=93 Succeeded, w=205\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=95 Failed, w=205\"],\"Answer\":205}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,22],[0,3,8],[0,4,91],[1,3,76],[1,4,17],[2,3,15],[2,4,1],[3,4,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,3,8],[0,4,91],[1,3,76],[1,4,17],[2,3,15],[2,4,1],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":41}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,3,8],[0,4,91],[1,3,76],[1,4,17],[2,3,15],[2,4,1],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (1,4)\"],\"Answer\":41}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,3,8],[0,4,91],[1,3,76],[1,4,17],[2,3,15],[2,4,1],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (0,3)=8, w=9\",\"Add (2,3)=15, w=24\",\"Add (1,4)=17, w=41\"],\"Answer\":41}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,3,8],[0,4,91],[1,3,76],[1,4,17],[2,3,15],[2,4,1],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (0,3)=8 Succeeded, w=9\",\"Add (2,3)=15 Succeeded, w=24\",\"Add (1,4)=17 Succeeded, w=41\",\"Add (3,4)=19 Failed, w=41\",\"Add (0,1)=22 Failed, w=41\",\"Add (1,3)=76 Failed, w=41\",\"Add (0,4)=91 Failed, w=41\"],\"Answer\":41}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,3,8],[0,4,91],[1,3,76],[1,4,17],[2,3,15],[2,4,1],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(0,3)=8,(2,3)=15,(1,4)=17,(3,4)=19,(0,1)=22,(1,3)=76,(0,4)=91]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=9\",\"Find(2)=2, Find(3)=0, Add (2,3)=15 Succeeded, w=24\",\"Find(1)=1, Find(4)=2, Add (1,4)=17 Succeeded, w=41\",\"Find(3)=2, Find(4)=2, Add (3,4)=19 Failed, w=41\",\"Find(0)=2, Find(1)=2, Add (0,1)=22 Failed, w=41\",\"Find(1)=2, Find(3)=2, Add (1,3)=76 Failed, w=41\",\"Find(0)=2, Find(4)=2, Add (0,4)=91 Failed, w=41\"],\"Answer\":41}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,3,8],[0,4,91],[1,3,76],[1,4,17],[2,3,15],[2,4,1],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(0,3)=8,(2,3)=15,(1,4)=17,(3,4)=19,(0,1)=22,(1,3)=76,(0,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2}, Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=9\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 0, 4: 2}, Find(2)=2, Find(3)=0, Add (2,3)=15 Succeeded, w=24\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=17 Succeeded, w=41\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=19 Failed, w=41\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=22 Failed, w=41\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=76 Failed, w=41\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=91 Failed, w=41\"],\"Answer\":41}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,20],[0,2,90],[0,3,67],[0,4,78],[1,3,94],[1,4,89],[3,4,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,90],[0,3,67],[0,4,78],[1,3,94],[1,4,89],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":235}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,90],[0,3,67],[0,4,78],[1,3,94],[1,4,89],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":235}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,90],[0,3,67],[0,4,78],[1,3,94],[1,4,89],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=20, w=20\",\"Add (3,4)=58, w=78\",\"Add (0,3)=67, w=145\",\"Add (0,2)=90, w=235\"],\"Answer\":235}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,90],[0,3,67],[0,4,78],[1,3,94],[1,4,89],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=20 Succeeded, w=20\",\"Add (3,4)=58 Succeeded, w=78\",\"Add (0,3)=67 Succeeded, w=145\",\"Add (0,4)=78 Failed, w=145\",\"Add (1,4)=89 Failed, w=145\",\"Add (0,2)=90 Succeeded, w=235\",\"Add (1,3)=94 Failed, w=235\"],\"Answer\":235}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,90],[0,3,67],[0,4,78],[1,3,94],[1,4,89],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=20,(3,4)=58,(0,3)=67,(0,4)=78,(1,4)=89,(0,2)=90,(1,3)=94]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=20\",\"Find(3)=3, Find(4)=4, Add (3,4)=58 Succeeded, w=78\",\"Find(0)=0, Find(3)=3, Add (0,3)=67 Succeeded, w=145\",\"Find(0)=0, Find(4)=0, Add (0,4)=78 Failed, w=145\",\"Find(1)=0, Find(4)=0, Add (1,4)=89 Failed, w=145\",\"Find(0)=0, Find(2)=2, Add (0,2)=90 Succeeded, w=235\",\"Find(1)=0, Find(3)=0, Add (1,3)=94 Failed, w=235\"],\"Answer\":235}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,90],[0,3,67],[0,4,78],[1,3,94],[1,4,89],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=20,(3,4)=58,(0,3)=67,(0,4)=78,(1,4)=89,(0,2)=90,(1,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=58 Succeeded, w=78\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=67 Succeeded, w=145\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=78 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=89 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=90 Succeeded, w=235\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=94 Failed, w=235\"],\"Answer\":235}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,10],[0,2,35],[0,3,43],[0,4,68],[0,6,27],[1,2,42],[1,3,95],[1,5,2],[1,6,50],[2,4,75],[2,5,85],[2,6,5],[4,5,3],[4,6,76],[5,6,32]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,35],[0,3,43],[0,4,68],[0,6,27],[1,2,42],[1,3,95],[1,5,2],[1,6,50],[2,4,75],[2,5,85],[2,6,5],[4,5,3],[4,6,76],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,35],[0,3,43],[0,4,68],[0,6,27],[1,2,42],[1,3,95],[1,5,2],[1,6,50],[2,4,75],[2,5,85],[2,6,5],[4,5,3],[4,6,76],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (4,5)\",\"Add (2,6)\",\"Add (0,1)\",\"Add (0,6)\",\"Add (0,3)\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,35],[0,3,43],[0,4,68],[0,6,27],[1,2,42],[1,3,95],[1,5,2],[1,6,50],[2,4,75],[2,5,85],[2,6,5],[4,5,3],[4,6,76],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=2, w=2\",\"Add (4,5)=3, w=5\",\"Add (2,6)=5, w=10\",\"Add (0,1)=10, w=20\",\"Add (0,6)=27, w=47\",\"Add (0,3)=43, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,35],[0,3,43],[0,4,68],[0,6,27],[1,2,42],[1,3,95],[1,5,2],[1,6,50],[2,4,75],[2,5,85],[2,6,5],[4,5,3],[4,6,76],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=2 Succeeded, w=2\",\"Add (4,5)=3 Succeeded, w=5\",\"Add (2,6)=5 Succeeded, w=10\",\"Add (0,1)=10 Succeeded, w=20\",\"Add (0,6)=27 Succeeded, w=47\",\"Add (5,6)=32 Failed, w=47\",\"Add (0,2)=35 Failed, w=47\",\"Add (1,2)=42 Failed, w=47\",\"Add (0,3)=43 Succeeded, w=90\",\"Add (1,6)=50 Failed, w=90\",\"Add (0,4)=68 Failed, w=90\",\"Add (2,4)=75 Failed, w=90\",\"Add (4,6)=76 Failed, w=90\",\"Add (2,5)=85 Failed, w=90\",\"Add (1,3)=95 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,35],[0,3,43],[0,4,68],[0,6,27],[1,2,42],[1,3,95],[1,5,2],[1,6,50],[2,4,75],[2,5,85],[2,6,5],[4,5,3],[4,6,76],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=2,(4,5)=3,(2,6)=5,(0,1)=10,(0,6)=27,(5,6)=32,(0,2)=35,(1,2)=42,(0,3)=43,(1,6)=50,(0,4)=68,(2,4)=75,(4,6)=76,(2,5)=85,(1,3)=95]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=2 Succeeded, w=2\",\"Find(4)=4, Find(5)=1, Add (4,5)=3 Succeeded, w=5\",\"Find(2)=2, Find(6)=6, Add (2,6)=5 Succeeded, w=10\",\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=20\",\"Find(0)=1, Find(6)=2, Add (0,6)=27 Succeeded, w=47\",\"Find(5)=1, Find(6)=1, Add (5,6)=32 Failed, w=47\",\"Find(0)=1, Find(2)=1, Add (0,2)=35 Failed, w=47\",\"Find(1)=1, Find(2)=1, Add (1,2)=42 Failed, w=47\",\"Find(0)=1, Find(3)=3, Add (0,3)=43 Succeeded, w=90\",\"Find(1)=1, Find(6)=1, Add (1,6)=50 Failed, w=90\",\"Find(0)=1, Find(4)=1, Add (0,4)=68 Failed, w=90\",\"Find(2)=1, Find(4)=1, Add (2,4)=75 Failed, w=90\",\"Find(4)=1, Find(6)=1, Add (4,6)=76 Failed, w=90\",\"Find(2)=1, Find(5)=1, Add (2,5)=85 Failed, w=90\",\"Find(1)=1, Find(3)=1, Add (1,3)=95 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,35],[0,3,43],[0,4,68],[0,6,27],[1,2,42],[1,3,95],[1,5,2],[1,6,50],[2,4,75],[2,5,85],[2,6,5],[4,5,3],[4,6,76],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=2,(4,5)=3,(2,6)=5,(0,1)=10,(0,6)=27,(5,6)=32,(0,2)=35,(1,2)=42,(0,3)=43,(1,6)=50,(0,4)=68,(2,4)=75,(4,6)=76,(2,5)=85,(1,3)=95]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 6}, Find(4)=4, Find(5)=1, Add (4,5)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=5 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 2}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 2}, Find(0)=1, Find(6)=2, Add (0,6)=27 Succeeded, w=47\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=32 Failed, w=47\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=35 Failed, w=47\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=42 Failed, w=47\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=3, Add (0,3)=43 Succeeded, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=50 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=68 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=75 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=76 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=85 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=95 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,97],[0,2,87],[0,3,6],[0,4,36],[1,2,59],[1,3,20],[1,4,34],[1,5,65],[2,3,34],[2,4,24],[2,5,85],[4,5,33]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,87],[0,3,6],[0,4,36],[1,2,59],[1,3,20],[1,4,34],[1,5,65],[2,3,34],[2,4,24],[2,5,85],[4,5,33]]}",
"role": "user"
},
{
"content": "{\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,87],[0,3,6],[0,4,36],[1,2,59],[1,3,20],[1,4,34],[1,5,65],[2,3,34],[2,4,24],[2,5,85],[4,5,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (4,5)\",\"Add (1,4)\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,87],[0,3,6],[0,4,36],[1,2,59],[1,3,20],[1,4,34],[1,5,65],[2,3,34],[2,4,24],[2,5,85],[4,5,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6, w=6\",\"Add (1,3)=20, w=26\",\"Add (2,4)=24, w=50\",\"Add (4,5)=33, w=83\",\"Add (1,4)=34, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,87],[0,3,6],[0,4,36],[1,2,59],[1,3,20],[1,4,34],[1,5,65],[2,3,34],[2,4,24],[2,5,85],[4,5,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6 Succeeded, w=6\",\"Add (1,3)=20 Succeeded, w=26\",\"Add (2,4)=24 Succeeded, w=50\",\"Add (4,5)=33 Succeeded, w=83\",\"Add (1,4)=34 Succeeded, w=117\",\"Add (2,3)=34 Failed, w=117\",\"Add (0,4)=36 Failed, w=117\",\"Add (1,2)=59 Failed, w=117\",\"Add (1,5)=65 Failed, w=117\",\"Add (2,5)=85 Failed, w=117\",\"Add (0,2)=87 Failed, w=117\",\"Add (0,1)=97 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,87],[0,3,6],[0,4,36],[1,2,59],[1,3,20],[1,4,34],[1,5,65],[2,3,34],[2,4,24],[2,5,85],[4,5,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(1,3)=20,(2,4)=24,(4,5)=33,(1,4)=34,(2,3)=34,(0,4)=36,(1,2)=59,(1,5)=65,(2,5)=85,(0,2)=87,(0,1)=97]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Find(1)=1, Find(3)=0, Add (1,3)=20 Succeeded, w=26\",\"Find(2)=2, Find(4)=4, Add (2,4)=24 Succeeded, w=50\",\"Find(4)=2, Find(5)=5, Add (4,5)=33 Succeeded, w=83\",\"Find(1)=0, Find(4)=2, Add (1,4)=34 Succeeded, w=117\",\"Find(2)=0, Find(3)=0, Add (2,3)=34 Failed, w=117\",\"Find(0)=0, Find(4)=0, Add (0,4)=36 Failed, w=117\",\"Find(1)=0, Find(2)=0, Add (1,2)=59 Failed, w=117\",\"Find(1)=0, Find(5)=0, Add (1,5)=65 Failed, w=117\",\"Find(2)=0, Find(5)=0, Add (2,5)=85 Failed, w=117\",\"Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=117\",\"Find(0)=0, Find(1)=0, Add (0,1)=97 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,87],[0,3,6],[0,4,36],[1,2,59],[1,3,20],[1,4,34],[1,5,65],[2,3,34],[2,4,24],[2,5,85],[4,5,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(1,3)=20,(2,4)=24,(4,5)=33,(1,4)=34,(2,3)=34,(0,4)=36,(1,2)=59,(1,5)=65,(2,5)=85,(0,2)=87,(0,1)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5}, Find(1)=1, Find(3)=0, Add (1,3)=20 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=24 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 2}, Find(4)=2, Find(5)=5, Add (4,5)=33 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 2}, Find(1)=0, Find(4)=2, Add (1,4)=34 Succeeded, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 2}, Find(2)=0, Find(3)=0, Add (2,3)=34 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(0)=0, Find(4)=0, Add (0,4)=36 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(1)=0, Find(2)=0, Add (1,2)=59 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)=65 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=85 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)=87 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=97 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,60],[1,2,59],[1,5,74],[1,6,31],[2,4,81],[2,6,44],[3,4,57],[3,5,92],[4,5,97],[5,6,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,60],[1,2,59],[1,5,74],[1,6,31],[2,4,81],[2,6,44],[3,4,57],[3,5,92],[4,5,97],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":284}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,60],[1,2,59],[1,5,74],[1,6,31],[2,4,81],[2,6,44],[3,4,57],[3,5,92],[4,5,97],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (1,6)\",\"Add (2,6)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (2,4)\"],\"Answer\":284}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,60],[1,2,59],[1,5,74],[1,6,31],[2,4,81],[2,6,44],[3,4,57],[3,5,92],[4,5,97],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=11, w=11\",\"Add (1,6)=31, w=42\",\"Add (2,6)=44, w=86\",\"Add (3,4)=57, w=143\",\"Add (0,2)=60, w=203\",\"Add (2,4)=81, w=284\"],\"Answer\":284}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,60],[1,2,59],[1,5,74],[1,6,31],[2,4,81],[2,6,44],[3,4,57],[3,5,92],[4,5,97],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=11 Succeeded, w=11\",\"Add (1,6)=31 Succeeded, w=42\",\"Add (2,6)=44 Succeeded, w=86\",\"Add (3,4)=57 Succeeded, w=143\",\"Add (1,2)=59 Failed, w=143\",\"Add (0,2)=60 Succeeded, w=203\",\"Add (1,5)=74 Failed, w=203\",\"Add (2,4)=81 Succeeded, w=284\",\"Add (3,5)=92 Failed, w=284\",\"Add (4,5)=97 Failed, w=284\"],\"Answer\":284}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,60],[1,2,59],[1,5,74],[1,6,31],[2,4,81],[2,6,44],[3,4,57],[3,5,92],[4,5,97],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=11,(1,6)=31,(2,6)=44,(3,4)=57,(1,2)=59,(0,2)=60,(1,5)=74,(2,4)=81,(3,5)=92,(4,5)=97]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=11 Succeeded, w=11\",\"Find(1)=1, Find(6)=5, Add (1,6)=31 Succeeded, w=42\",\"Find(2)=2, Find(6)=5, Add (2,6)=44 Succeeded, w=86\",\"Find(3)=3, Find(4)=4, Add (3,4)=57 Succeeded, w=143\",\"Find(1)=5, Find(2)=5, Add (1,2)=59 Failed, w=143\",\"Find(0)=0, Find(2)=5, Add (0,2)=60 Succeeded, w=203\",\"Find(1)=5, Find(5)=5, Add (1,5)=74 Failed, w=203\",\"Find(2)=5, Find(4)=3, Add (2,4)=81 Succeeded, w=284\",\"Find(3)=5, Find(5)=5, Add (3,5)=92 Failed, w=284\",\"Find(4)=5, Find(5)=5, Add (4,5)=97 Failed, w=284\"],\"Answer\":284}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,60],[1,2,59],[1,5,74],[1,6,31],[2,4,81],[2,6,44],[3,4,57],[3,5,92],[4,5,97],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=11,(1,6)=31,(2,6)=44,(3,4)=57,(1,2)=59,(0,2)=60,(1,5)=74,(2,4)=81,(3,5)=92,(4,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(1)=1, Find(6)=5, Add (1,6)=31 Succeeded, w=42\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5}, Find(2)=2, Find(6)=5, Add (2,6)=44 Succeeded, w=86\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 3, 4: 3, 5: 5, 6: 5}, Find(3)=3, Find(4)=4, Add (3,4)=57 Succeeded, w=143\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 3, 4: 3, 5: 5, 6: 5}, Find(1)=5, Find(2)=5, Add (1,2)=59 Failed, w=143\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 3, 5: 5, 6: 5}, Find(0)=0, Find(2)=5, Add (0,2)=60 Succeeded, w=203\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 3, 5: 5, 6: 5}, Find(1)=5, Find(5)=5, Add (1,5)=74 Failed, w=203\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 3, 5: 5, 6: 5}, Find(2)=5, Find(4)=3, Add (2,4)=81 Succeeded, w=284\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 3, 5: 5, 6: 5}, Find(3)=5, Find(5)=5, Add (3,5)=92 Failed, w=284\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(4)=5, Find(5)=5, Add (4,5)=97 Failed, w=284\"],\"Answer\":284}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,46],[0,3,63],[1,2,41],[1,3,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,46],[0,3,63],[1,2,41],[1,3,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,46],[0,3,63],[1,2,41],[1,3,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"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],\"edges\":[[0,2,46],[0,3,63],[1,2,41],[1,3,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (1,2)=41, w=43\",\"Add (0,2)=46, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,46],[0,3,63],[1,2,41],[1,3,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (1,2)=41 Succeeded, w=43\",\"Add (0,2)=46 Succeeded, w=89\",\"Add (0,3)=63 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,46],[0,3,63],[1,2,41],[1,3,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(1,2)=41,(0,2)=46,(0,3)=63]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(1)=1, Find(2)=2, Add (1,2)=41 Succeeded, w=43\",\"Find(0)=0, Find(2)=1, Add (0,2)=46 Succeeded, w=89\",\"Find(0)=1, Find(3)=1, Add (0,3)=63 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,46],[0,3,63],[1,2,41],[1,3,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(1,2)=41,(0,2)=46,(0,3)=63]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=41 Succeeded, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=46 Succeeded, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=63 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,44],[0,2,6],[0,3,31],[0,4,91],[0,5,48],[0,6,39],[1,2,99],[1,3,67],[1,4,35],[1,5,25],[1,6,33],[2,4,78],[2,5,69],[2,6,96],[3,4,5],[3,5,78],[3,6,73],[4,5,9],[4,6,50],[5,6,92]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,44],[0,2,6],[0,3,31],[0,4,91],[0,5,48],[0,6,39],[1,2,99],[1,3,67],[1,4,35],[1,5,25],[1,6,33],[2,4,78],[2,5,69],[2,6,96],[3,4,5],[3,5,78],[3,6,73],[4,5,9],[4,6,50],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,44],[0,2,6],[0,3,31],[0,4,91],[0,5,48],[0,6,39],[1,2,99],[1,3,67],[1,4,35],[1,5,25],[1,6,33],[2,4,78],[2,5,69],[2,6,96],[3,4,5],[3,5,78],[3,6,73],[4,5,9],[4,6,50],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,2)\",\"Add (4,5)\",\"Add (1,5)\",\"Add (0,3)\",\"Add (1,6)\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,44],[0,2,6],[0,3,31],[0,4,91],[0,5,48],[0,6,39],[1,2,99],[1,3,67],[1,4,35],[1,5,25],[1,6,33],[2,4,78],[2,5,69],[2,6,96],[3,4,5],[3,5,78],[3,6,73],[4,5,9],[4,6,50],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=5, w=5\",\"Add (0,2)=6, w=11\",\"Add (4,5)=9, w=20\",\"Add (1,5)=25, w=45\",\"Add (0,3)=31, w=76\",\"Add (1,6)=33, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,44],[0,2,6],[0,3,31],[0,4,91],[0,5,48],[0,6,39],[1,2,99],[1,3,67],[1,4,35],[1,5,25],[1,6,33],[2,4,78],[2,5,69],[2,6,96],[3,4,5],[3,5,78],[3,6,73],[4,5,9],[4,6,50],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=5 Succeeded, w=5\",\"Add (0,2)=6 Succeeded, w=11\",\"Add (4,5)=9 Succeeded, w=20\",\"Add (1,5)=25 Succeeded, w=45\",\"Add (0,3)=31 Succeeded, w=76\",\"Add (1,6)=33 Succeeded, w=109\",\"Add (1,4)=35 Failed, w=109\",\"Add (0,6)=39 Failed, w=109\",\"Add (0,1)=44 Failed, w=109\",\"Add (0,5)=48 Failed, w=109\",\"Add (4,6)=50 Failed, w=109\",\"Add (1,3)=67 Failed, w=109\",\"Add (2,5)=69 Failed, w=109\",\"Add (3,6)=73 Failed, w=109\",\"Add (2,4)=78 Failed, w=109\",\"Add (3,5)=78 Failed, w=109\",\"Add (0,4)=91 Failed, w=109\",\"Add (5,6)=92 Failed, w=109\",\"Add (2,6)=96 Failed, w=109\",\"Add (1,2)=99 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,44],[0,2,6],[0,3,31],[0,4,91],[0,5,48],[0,6,39],[1,2,99],[1,3,67],[1,4,35],[1,5,25],[1,6,33],[2,4,78],[2,5,69],[2,6,96],[3,4,5],[3,5,78],[3,6,73],[4,5,9],[4,6,50],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=5,(0,2)=6,(4,5)=9,(1,5)=25,(0,3)=31,(1,6)=33,(1,4)=35,(0,6)=39,(0,1)=44,(0,5)=48,(4,6)=50,(1,3)=67,(2,5)=69,(3,6)=73,(2,4)=78,(3,5)=78,(0,4)=91,(5,6)=92,(2,6)=96,(1,2)=99]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=5\",\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=11\",\"Find(4)=3, Find(5)=5, Add (4,5)=9 Succeeded, w=20\",\"Find(1)=1, Find(5)=3, Add (1,5)=25 Succeeded, w=45\",\"Find(0)=0, Find(3)=3, Add (0,3)=31 Succeeded, w=76\",\"Find(1)=0, Find(6)=6, Add (1,6)=33 Succeeded, w=109\",\"Find(1)=0, Find(4)=0, Add (1,4)=35 Failed, w=109\",\"Find(0)=0, Find(6)=0, Add (0,6)=39 Failed, w=109\",\"Find(0)=0, Find(1)=0, Add (0,1)=44 Failed, w=109\",\"Find(0)=0, Find(5)=0, Add (0,5)=48 Failed, w=109\",\"Find(4)=0, Find(6)=0, Add (4,6)=50 Failed, w=109\",\"Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=109\",\"Find(2)=0, Find(5)=0, Add (2,5)=69 Failed, w=109\",\"Find(3)=0, Find(6)=0, Add (3,6)=73 Failed, w=109\",\"Find(2)=0, Find(4)=0, Add (2,4)=78 Failed, w=109\",\"Find(3)=0, Find(5)=0, Add (3,5)=78 Failed, w=109\",\"Find(0)=0, Find(4)=0, Add (0,4)=91 Failed, w=109\",\"Find(5)=0, Find(6)=0, Add (5,6)=92 Failed, w=109\",\"Find(2)=0, Find(6)=0, Add (2,6)=96 Failed, w=109\",\"Find(1)=0, Find(2)=0, Add (1,2)=99 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,44],[0,2,6],[0,3,31],[0,4,91],[0,5,48],[0,6,39],[1,2,99],[1,3,67],[1,4,35],[1,5,25],[1,6,33],[2,4,78],[2,5,69],[2,6,96],[3,4,5],[3,5,78],[3,6,73],[4,5,9],[4,6,50],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=5,(0,2)=6,(4,5)=9,(1,5)=25,(0,3)=31,(1,6)=33,(1,4)=35,(0,6)=39,(0,1)=44,(0,5)=48,(4,6)=50,(1,3)=67,(2,5)=69,(3,6)=73,(2,4)=78,(3,5)=78,(0,4)=91,(5,6)=92,(2,6)=96,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 3, 6: 6}, Find(4)=3, Find(5)=5, Add (4,5)=9 Succeeded, w=20\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3, 5: 3, 6: 6}, Find(1)=1, Find(5)=3, Add (1,5)=25 Succeeded, w=45\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3, 5: 3, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=31 Succeeded, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 3, 6: 0}, Find(1)=0, Find(6)=6, Add (1,6)=33 Succeeded, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=35 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=39 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=44 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=48 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=50 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=69 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=73 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=78 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=78 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=91 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=92 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=96 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=99 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,71],[0,2,63],[0,3,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,2,63],[0,3,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,2,63],[0,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,2,63],[0,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=60, w=60\",\"Add (0,2)=63, w=123\",\"Add (0,1)=71, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,2,63],[0,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=60 Succeeded, w=60\",\"Add (0,2)=63 Succeeded, w=123\",\"Add (0,1)=71 Succeeded, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,2,63],[0,3,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=60,(0,2)=63,(0,1)=71]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=60 Succeeded, w=60\",\"Find(0)=0, Find(2)=2, Add (0,2)=63 Succeeded, w=123\",\"Find(0)=0, Find(1)=1, Add (0,1)=71 Succeeded, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,2,63],[0,3,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=60,(0,2)=63,(0,1)=71]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=60 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=63 Succeeded, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=71 Succeeded, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,12],[0,2,18],[0,3,40],[0,4,50],[0,5,25],[1,2,67],[1,3,1],[1,4,6],[1,5,88],[2,3,19],[2,4,93],[2,5,77],[3,4,16],[3,5,49],[4,5,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,12],[0,2,18],[0,3,40],[0,4,50],[0,5,25],[1,2,67],[1,3,1],[1,4,6],[1,5,88],[2,3,19],[2,4,93],[2,5,77],[3,4,16],[3,5,49],[4,5,58]]}",
"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],\"edges\":[[0,1,12],[0,2,18],[0,3,40],[0,4,50],[0,5,25],[1,2,67],[1,3,1],[1,4,6],[1,5,88],[2,3,19],[2,4,93],[2,5,77],[3,4,16],[3,5,49],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,4)\",\"Add (0,1)\",\"Add (0,2)\",\"Add (0,5)\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,12],[0,2,18],[0,3,40],[0,4,50],[0,5,25],[1,2,67],[1,3,1],[1,4,6],[1,5,88],[2,3,19],[2,4,93],[2,5,77],[3,4,16],[3,5,49],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1, w=1\",\"Add (1,4)=6, w=7\",\"Add (0,1)=12, w=19\",\"Add (0,2)=18, w=37\",\"Add (0,5)=25, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,12],[0,2,18],[0,3,40],[0,4,50],[0,5,25],[1,2,67],[1,3,1],[1,4,6],[1,5,88],[2,3,19],[2,4,93],[2,5,77],[3,4,16],[3,5,49],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1 Succeeded, w=1\",\"Add (1,4)=6 Succeeded, w=7\",\"Add (0,1)=12 Succeeded, w=19\",\"Add (3,4)=16 Failed, w=19\",\"Add (0,2)=18 Succeeded, w=37\",\"Add (2,3)=19 Failed, w=37\",\"Add (0,5)=25 Succeeded, w=62\",\"Add (0,3)=40 Failed, w=62\",\"Add (3,5)=49 Failed, w=62\",\"Add (0,4)=50 Failed, w=62\",\"Add (4,5)=58 Failed, w=62\",\"Add (1,2)=67 Failed, w=62\",\"Add (2,5)=77 Failed, w=62\",\"Add (1,5)=88 Failed, w=62\",\"Add (2,4)=93 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],\"edges\":[[0,1,12],[0,2,18],[0,3,40],[0,4,50],[0,5,25],[1,2,67],[1,3,1],[1,4,6],[1,5,88],[2,3,19],[2,4,93],[2,5,77],[3,4,16],[3,5,49],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(1,4)=6,(0,1)=12,(3,4)=16,(0,2)=18,(2,3)=19,(0,5)=25,(0,3)=40,(3,5)=49,(0,4)=50,(4,5)=58,(1,2)=67,(2,5)=77,(1,5)=88,(2,4)=93]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=7\",\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=19\",\"Find(3)=1, Find(4)=1, Add (3,4)=16 Failed, w=19\",\"Find(0)=1, Find(2)=2, Add (0,2)=18 Succeeded, w=37\",\"Find(2)=1, Find(3)=1, Add (2,3)=19 Failed, w=37\",\"Find(0)=1, Find(5)=5, Add (0,5)=25 Succeeded, w=62\",\"Find(0)=1, Find(3)=1, Add (0,3)=40 Failed, w=62\",\"Find(3)=1, Find(5)=1, Add (3,5)=49 Failed, w=62\",\"Find(0)=1, Find(4)=1, Add (0,4)=50 Failed, w=62\",\"Find(4)=1, Find(5)=1, Add (4,5)=58 Failed, w=62\",\"Find(1)=1, Find(2)=1, Add (1,2)=67 Failed, w=62\",\"Find(2)=1, Find(5)=1, Add (2,5)=77 Failed, w=62\",\"Find(1)=1, Find(5)=1, Add (1,5)=88 Failed, w=62\",\"Find(2)=1, Find(4)=1, Add (2,4)=93 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],\"edges\":[[0,1,12],[0,2,18],[0,3,40],[0,4,50],[0,5,25],[1,2,67],[1,3,1],[1,4,6],[1,5,88],[2,3,19],[2,4,93],[2,5,77],[3,4,16],[3,5,49],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(1,4)=6,(0,1)=12,(3,4)=16,(0,2)=18,(2,3)=19,(0,5)=25,(0,3)=40,(3,5)=49,(0,4)=50,(4,5)=58,(1,2)=67,(2,5)=77,(1,5)=88,(2,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=7\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=19\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(3)=1, Find(4)=1, Add (3,4)=16 Failed, w=19\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(0)=1, Find(2)=2, Add (0,2)=18 Succeeded, w=37\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(2)=1, Find(3)=1, Add (2,3)=19 Failed, w=37\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=5, Add (0,5)=25 Succeeded, w=62\",\"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=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=49 Failed, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=50 Failed, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=58 Failed, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=67 Failed, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=77 Failed, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=88 Failed, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=93 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,4,0],[0,6,88],[0,7,40],[1,4,23],[1,5,86],[1,7,47],[2,7,66],[4,6,5],[4,7,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,0],[0,6,88],[0,7,40],[1,4,23],[1,5,86],[1,7,47],[2,7,66],[4,6,5],[4,7,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,0],[0,6,88],[0,7,40],[1,4,23],[1,5,86],[1,7,47],[2,7,66],[4,6,5],[4,7,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (4,6)\",\"Add (1,4)\",\"Add (0,7)\",\"Add (2,7)\",\"Add (1,5)\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,0],[0,6,88],[0,7,40],[1,4,23],[1,5,86],[1,7,47],[2,7,66],[4,6,5],[4,7,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0, w=0\",\"Add (4,6)=5, w=5\",\"Add (1,4)=23, w=28\",\"Add (0,7)=40, w=68\",\"Add (2,7)=66, w=134\",\"Add (1,5)=86, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,0],[0,6,88],[0,7,40],[1,4,23],[1,5,86],[1,7,47],[2,7,66],[4,6,5],[4,7,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0 Succeeded, w=0\",\"Add (4,6)=5 Succeeded, w=5\",\"Add (1,4)=23 Succeeded, w=28\",\"Add (0,7)=40 Succeeded, w=68\",\"Add (1,7)=47 Failed, w=68\",\"Add (2,7)=66 Succeeded, w=134\",\"Add (4,7)=69 Failed, w=134\",\"Add (1,5)=86 Succeeded, w=220\",\"Add (0,6)=88 Failed, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,0],[0,6,88],[0,7,40],[1,4,23],[1,5,86],[1,7,47],[2,7,66],[4,6,5],[4,7,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(4,6)=5,(1,4)=23,(0,7)=40,(1,7)=47,(2,7)=66,(4,7)=69,(1,5)=86,(0,6)=88]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Find(4)=0, Find(6)=6, Add (4,6)=5 Succeeded, w=5\",\"Find(1)=1, Find(4)=0, Add (1,4)=23 Succeeded, w=28\",\"Find(0)=0, Find(7)=7, Add (0,7)=40 Succeeded, w=68\",\"Find(1)=0, Find(7)=0, Add (1,7)=47 Failed, w=68\",\"Find(2)=2, Find(7)=0, Add (2,7)=66 Succeeded, w=134\",\"Find(4)=0, Find(7)=0, Add (4,7)=69 Failed, w=134\",\"Find(1)=0, Find(5)=5, Add (1,5)=86 Succeeded, w=220\",\"Find(0)=0, Find(6)=0, Add (0,6)=88 Failed, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,0],[0,6,88],[0,7,40],[1,4,23],[1,5,86],[1,7,47],[2,7,66],[4,6,5],[4,7,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(4,6)=5,(1,4)=23,(0,7)=40,(1,7)=47,(2,7)=66,(4,7)=69,(1,5)=86,(0,6)=88]\",\"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: 0, 7: 7}, Find(4)=0, Find(6)=6, Add (4,6)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0, 7: 7}, Find(1)=1, Find(4)=0, Add (1,4)=23 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=40 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=47 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0, 7: 0}, Find(2)=2, Find(7)=0, Add (2,7)=66 Succeeded, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=69 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=5, Add (1,5)=86 Succeeded, w=220\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=88 Failed, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,15],[0,4,19],[0,5,15],[0,6,93],[1,2,86],[1,3,60],[1,4,75],[1,5,20],[2,3,77],[2,4,49],[2,6,6],[3,4,78],[3,5,64],[3,6,20],[4,5,56],[4,6,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,4,19],[0,5,15],[0,6,93],[1,2,86],[1,3,60],[1,4,75],[1,5,20],[2,3,77],[2,4,49],[2,6,6],[3,4,78],[3,5,64],[3,6,20],[4,5,56],[4,6,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,4,19],[0,5,15],[0,6,93],[1,2,86],[1,3,60],[1,4,75],[1,5,20],[2,3,77],[2,4,49],[2,6,6],[3,4,78],[3,5,64],[3,6,20],[4,5,56],[4,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (0,1)\",\"Add (0,5)\",\"Add (4,6)\",\"Add (0,4)\",\"Add (3,6)\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,4,19],[0,5,15],[0,6,93],[1,2,86],[1,3,60],[1,4,75],[1,5,20],[2,3,77],[2,4,49],[2,6,6],[3,4,78],[3,5,64],[3,6,20],[4,5,56],[4,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=6, w=6\",\"Add (0,1)=15, w=21\",\"Add (0,5)=15, w=36\",\"Add (4,6)=15, w=51\",\"Add (0,4)=19, w=70\",\"Add (3,6)=20, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,4,19],[0,5,15],[0,6,93],[1,2,86],[1,3,60],[1,4,75],[1,5,20],[2,3,77],[2,4,49],[2,6,6],[3,4,78],[3,5,64],[3,6,20],[4,5,56],[4,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=6 Succeeded, w=6\",\"Add (0,1)=15 Succeeded, w=21\",\"Add (0,5)=15 Succeeded, w=36\",\"Add (4,6)=15 Succeeded, w=51\",\"Add (0,4)=19 Succeeded, w=70\",\"Add (1,5)=20 Failed, w=70\",\"Add (3,6)=20 Succeeded, w=90\",\"Add (2,4)=49 Failed, w=90\",\"Add (4,5)=56 Failed, w=90\",\"Add (1,3)=60 Failed, w=90\",\"Add (3,5)=64 Failed, w=90\",\"Add (1,4)=75 Failed, w=90\",\"Add (2,3)=77 Failed, w=90\",\"Add (3,4)=78 Failed, w=90\",\"Add (1,2)=86 Failed, w=90\",\"Add (0,6)=93 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,4,19],[0,5,15],[0,6,93],[1,2,86],[1,3,60],[1,4,75],[1,5,20],[2,3,77],[2,4,49],[2,6,6],[3,4,78],[3,5,64],[3,6,20],[4,5,56],[4,6,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=6,(0,1)=15,(0,5)=15,(4,6)=15,(0,4)=19,(1,5)=20,(3,6)=20,(2,4)=49,(4,5)=56,(1,3)=60,(3,5)=64,(1,4)=75,(2,3)=77,(3,4)=78,(1,2)=86,(0,6)=93]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=6 Succeeded, w=6\",\"Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=21\",\"Find(0)=0, Find(5)=5, Add (0,5)=15 Succeeded, w=36\",\"Find(4)=4, Find(6)=2, Add (4,6)=15 Succeeded, w=51\",\"Find(0)=0, Find(4)=2, Add (0,4)=19 Succeeded, w=70\",\"Find(1)=0, Find(5)=0, Add (1,5)=20 Failed, w=70\",\"Find(3)=3, Find(6)=0, Add (3,6)=20 Succeeded, w=90\",\"Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=90\",\"Find(4)=0, Find(5)=0, Add (4,5)=56 Failed, w=90\",\"Find(1)=0, Find(3)=0, Add (1,3)=60 Failed, w=90\",\"Find(3)=0, Find(5)=0, Add (3,5)=64 Failed, w=90\",\"Find(1)=0, Find(4)=0, Add (1,4)=75 Failed, w=90\",\"Find(2)=0, Find(3)=0, Add (2,3)=77 Failed, w=90\",\"Find(3)=0, Find(4)=0, Add (3,4)=78 Failed, w=90\",\"Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=90\",\"Find(0)=0, Find(6)=0, Add (0,6)=93 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,4,19],[0,5,15],[0,6,93],[1,2,86],[1,3,60],[1,4,75],[1,5,20],[2,3,77],[2,4,49],[2,6,6],[3,4,78],[3,5,64],[3,6,20],[4,5,56],[4,6,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=6,(0,1)=15,(0,5)=15,(4,6)=15,(0,4)=19,(1,5)=20,(3,6)=20,(2,4)=49,(4,5)=56,(1,3)=60,(3,5)=64,(1,4)=75,(2,3)=77,(3,4)=78,(1,2)=86,(0,6)=93]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 2}, Find(0)=0, Find(5)=5, Add (0,5)=15 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 0, 6: 2}, Find(4)=4, Find(6)=2, Add (4,6)=15 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 0, 6: 2}, Find(0)=0, Find(4)=2, Add (0,4)=19 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 0, 6: 2}, Find(1)=0, Find(5)=0, Add (1,5)=20 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(3)=3, Find(6)=0, Add (3,6)=20 Succeeded, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=56 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=60 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=64 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=75 Failed, w=90\",\"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=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=78 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=93 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,28],[0,2,75],[0,4,64],[1,2,43],[1,4,31],[3,4,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,75],[0,4,64],[1,2,43],[1,4,31],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,75],[0,4,64],[1,2,43],[1,4,31],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,4)\",\"Add (3,4)\",\"Add (1,2)\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,75],[0,4,64],[1,2,43],[1,4,31],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=28, w=28\",\"Add (1,4)=31, w=59\",\"Add (3,4)=41, w=100\",\"Add (1,2)=43, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,75],[0,4,64],[1,2,43],[1,4,31],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=28 Succeeded, w=28\",\"Add (1,4)=31 Succeeded, w=59\",\"Add (3,4)=41 Succeeded, w=100\",\"Add (1,2)=43 Succeeded, w=143\",\"Add (0,4)=64 Failed, w=143\",\"Add (0,2)=75 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,75],[0,4,64],[1,2,43],[1,4,31],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=28,(1,4)=31,(3,4)=41,(1,2)=43,(0,4)=64,(0,2)=75]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=28\",\"Find(1)=0, Find(4)=4, Add (1,4)=31 Succeeded, w=59\",\"Find(3)=3, Find(4)=0, Add (3,4)=41 Succeeded, w=100\",\"Find(1)=0, Find(2)=2, Add (1,2)=43 Succeeded, w=143\",\"Find(0)=0, Find(4)=0, Add (0,4)=64 Failed, w=143\",\"Find(0)=0, Find(2)=0, Add (0,2)=75 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,75],[0,4,64],[1,2,43],[1,4,31],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=28,(1,4)=31,(3,4)=41,(1,2)=43,(0,4)=64,(0,2)=75]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=31 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=41 Succeeded, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=2, Add (1,2)=43 Succeeded, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=64 Failed, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=75 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,21],[0,2,83],[0,3,7],[0,4,51],[0,5,73],[0,6,15],[0,7,8],[1,2,20],[1,3,71],[1,4,45],[1,5,44],[1,6,15],[1,7,30],[2,3,52],[2,4,100],[2,5,84],[2,6,95],[2,7,43],[3,4,8],[3,5,46],[3,6,44],[4,6,11],[4,7,78],[5,6,74],[5,7,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,21],[0,2,83],[0,3,7],[0,4,51],[0,5,73],[0,6,15],[0,7,8],[1,2,20],[1,3,71],[1,4,45],[1,5,44],[1,6,15],[1,7,30],[2,3,52],[2,4,100],[2,5,84],[2,6,95],[2,7,43],[3,4,8],[3,5,46],[3,6,44],[4,6,11],[4,7,78],[5,6,74],[5,7,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,21],[0,2,83],[0,3,7],[0,4,51],[0,5,73],[0,6,15],[0,7,8],[1,2,20],[1,3,71],[1,4,45],[1,5,44],[1,6,15],[1,7,30],[2,3,52],[2,4,100],[2,5,84],[2,6,95],[2,7,43],[3,4,8],[3,5,46],[3,6,44],[4,6,11],[4,7,78],[5,6,74],[5,7,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,7)\",\"Add (3,4)\",\"Add (5,7)\",\"Add (4,6)\",\"Add (1,6)\",\"Add (1,2)\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,21],[0,2,83],[0,3,7],[0,4,51],[0,5,73],[0,6,15],[0,7,8],[1,2,20],[1,3,71],[1,4,45],[1,5,44],[1,6,15],[1,7,30],[2,3,52],[2,4,100],[2,5,84],[2,6,95],[2,7,43],[3,4,8],[3,5,46],[3,6,44],[4,6,11],[4,7,78],[5,6,74],[5,7,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7, w=7\",\"Add (0,7)=8, w=15\",\"Add (3,4)=8, w=23\",\"Add (5,7)=10, w=33\",\"Add (4,6)=11, w=44\",\"Add (1,6)=15, w=59\",\"Add (1,2)=20, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,21],[0,2,83],[0,3,7],[0,4,51],[0,5,73],[0,6,15],[0,7,8],[1,2,20],[1,3,71],[1,4,45],[1,5,44],[1,6,15],[1,7,30],[2,3,52],[2,4,100],[2,5,84],[2,6,95],[2,7,43],[3,4,8],[3,5,46],[3,6,44],[4,6,11],[4,7,78],[5,6,74],[5,7,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7 Succeeded, w=7\",\"Add (0,7)=8 Succeeded, w=15\",\"Add (3,4)=8 Succeeded, w=23\",\"Add (5,7)=10 Succeeded, w=33\",\"Add (4,6)=11 Succeeded, w=44\",\"Add (0,6)=15 Failed, w=44\",\"Add (1,6)=15 Succeeded, w=59\",\"Add (1,2)=20 Succeeded, w=79\",\"Add (0,1)=21 Failed, w=79\",\"Add (1,7)=30 Failed, w=79\",\"Add (2,7)=43 Failed, w=79\",\"Add (1,5)=44 Failed, w=79\",\"Add (3,6)=44 Failed, w=79\",\"Add (1,4)=45 Failed, w=79\",\"Add (3,5)=46 Failed, w=79\",\"Add (0,4)=51 Failed, w=79\",\"Add (2,3)=52 Failed, w=79\",\"Add (1,3)=71 Failed, w=79\",\"Add (0,5)=73 Failed, w=79\",\"Add (5,6)=74 Failed, w=79\",\"Add (4,7)=78 Failed, w=79\",\"Add (0,2)=83 Failed, w=79\",\"Add (2,5)=84 Failed, w=79\",\"Add (2,6)=95 Failed, w=79\",\"Add (2,4)=100 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,21],[0,2,83],[0,3,7],[0,4,51],[0,5,73],[0,6,15],[0,7,8],[1,2,20],[1,3,71],[1,4,45],[1,5,44],[1,6,15],[1,7,30],[2,3,52],[2,4,100],[2,5,84],[2,6,95],[2,7,43],[3,4,8],[3,5,46],[3,6,44],[4,6,11],[4,7,78],[5,6,74],[5,7,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(0,7)=8,(3,4)=8,(5,7)=10,(4,6)=11,(0,6)=15,(1,6)=15,(1,2)=20,(0,1)=21,(1,7)=30,(2,7)=43,(1,5)=44,(3,6)=44,(1,4)=45,(3,5)=46,(0,4)=51,(2,3)=52,(1,3)=71,(0,5)=73,(5,6)=74,(4,7)=78,(0,2)=83,(2,5)=84,(2,6)=95,(2,4)=100]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Find(0)=0, Find(7)=7, Add (0,7)=8 Succeeded, w=15\",\"Find(3)=0, Find(4)=4, Add (3,4)=8 Succeeded, w=23\",\"Find(5)=5, Find(7)=0, Add (5,7)=10 Succeeded, w=33\",\"Find(4)=0, Find(6)=6, Add (4,6)=11 Succeeded, w=44\",\"Find(0)=0, Find(6)=0, Add (0,6)=15 Failed, w=44\",\"Find(1)=1, Find(6)=0, Add (1,6)=15 Succeeded, w=59\",\"Find(1)=0, Find(2)=2, Add (1,2)=20 Succeeded, w=79\",\"Find(0)=0, Find(1)=0, Add (0,1)=21 Failed, w=79\",\"Find(1)=0, Find(7)=0, Add (1,7)=30 Failed, w=79\",\"Find(2)=0, Find(7)=0, Add (2,7)=43 Failed, w=79\",\"Find(1)=0, Find(5)=0, Add (1,5)=44 Failed, w=79\",\"Find(3)=0, Find(6)=0, Add (3,6)=44 Failed, w=79\",\"Find(1)=0, Find(4)=0, Add (1,4)=45 Failed, w=79\",\"Find(3)=0, Find(5)=0, Add (3,5)=46 Failed, w=79\",\"Find(0)=0, Find(4)=0, Add (0,4)=51 Failed, w=79\",\"Find(2)=0, Find(3)=0, Add (2,3)=52 Failed, w=79\",\"Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=79\",\"Find(0)=0, Find(5)=0, Add (0,5)=73 Failed, w=79\",\"Find(5)=0, Find(6)=0, Add (5,6)=74 Failed, w=79\",\"Find(4)=0, Find(7)=0, Add (4,7)=78 Failed, w=79\",\"Find(0)=0, Find(2)=0, Add (0,2)=83 Failed, w=79\",\"Find(2)=0, Find(5)=0, Add (2,5)=84 Failed, w=79\",\"Find(2)=0, Find(6)=0, Add (2,6)=95 Failed, w=79\",\"Find(2)=0, Find(4)=0, Add (2,4)=100 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,21],[0,2,83],[0,3,7],[0,4,51],[0,5,73],[0,6,15],[0,7,8],[1,2,20],[1,3,71],[1,4,45],[1,5,44],[1,6,15],[1,7,30],[2,3,52],[2,4,100],[2,5,84],[2,6,95],[2,7,43],[3,4,8],[3,5,46],[3,6,44],[4,6,11],[4,7,78],[5,6,74],[5,7,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(0,7)=8,(3,4)=8,(5,7)=10,(4,6)=11,(0,6)=15,(1,6)=15,(1,2)=20,(0,1)=21,(1,7)=30,(2,7)=43,(1,5)=44,(3,6)=44,(1,4)=45,(3,5)=46,(0,4)=51,(2,3)=52,(1,3)=71,(0,5)=73,(5,6)=74,(4,7)=78,(0,2)=83,(2,5)=84,(2,6)=95,(2,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=8 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 6, 7: 0}, Find(3)=0, Find(4)=4, Add (3,4)=8 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(5)=5, Find(7)=0, Add (5,7)=10 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=6, Add (4,6)=11 Succeeded, w=44\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=15 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(6)=0, Add (1,6)=15 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=2, Add (1,2)=20 Succeeded, w=79\",\"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)=21 Failed, w=79\",\"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)=30 Failed, w=79\",\"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)=43 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=44 Failed, w=79\",\"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)=44 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=45 Failed, w=79\",\"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)=46 Failed, w=79\",\"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)=51 Failed, w=79\",\"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)=52 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=73 Failed, w=79\",\"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)=74 Failed, w=79\",\"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)=78 Failed, w=79\",\"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)=83 Failed, w=79\",\"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)=84 Failed, w=79\",\"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)=95 Failed, w=79\",\"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)=100 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,64],[0,3,16],[1,2,67],[1,3,51],[1,4,38],[2,3,33],[2,4,9],[3,4,63]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,3,16],[1,2,67],[1,3,51],[1,4,38],[2,3,33],[2,4,9],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,3,16],[1,2,67],[1,3,51],[1,4,38],[2,3,33],[2,4,9],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (1,4)\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,3,16],[1,2,67],[1,3,51],[1,4,38],[2,3,33],[2,4,9],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=9, w=9\",\"Add (0,3)=16, w=25\",\"Add (2,3)=33, w=58\",\"Add (1,4)=38, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,3,16],[1,2,67],[1,3,51],[1,4,38],[2,3,33],[2,4,9],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=9 Succeeded, w=9\",\"Add (0,3)=16 Succeeded, w=25\",\"Add (2,3)=33 Succeeded, w=58\",\"Add (1,4)=38 Succeeded, w=96\",\"Add (1,3)=51 Failed, w=96\",\"Add (3,4)=63 Failed, w=96\",\"Add (0,1)=64 Failed, w=96\",\"Add (1,2)=67 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,3,16],[1,2,67],[1,3,51],[1,4,38],[2,3,33],[2,4,9],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=9,(0,3)=16,(2,3)=33,(1,4)=38,(1,3)=51,(3,4)=63,(0,1)=64,(1,2)=67]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=9 Succeeded, w=9\",\"Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=25\",\"Find(2)=2, Find(3)=0, Add (2,3)=33 Succeeded, w=58\",\"Find(1)=1, Find(4)=2, Add (1,4)=38 Succeeded, w=96\",\"Find(1)=2, Find(3)=2, Add (1,3)=51 Failed, w=96\",\"Find(3)=2, Find(4)=2, Add (3,4)=63 Failed, w=96\",\"Find(0)=2, Find(1)=2, Add (0,1)=64 Failed, w=96\",\"Find(1)=2, Find(2)=2, Add (1,2)=67 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,3,16],[1,2,67],[1,3,51],[1,4,38],[2,3,33],[2,4,9],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=9,(0,3)=16,(2,3)=33,(1,4)=38,(1,3)=51,(3,4)=63,(0,1)=64,(1,2)=67]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2}, Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=25\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 0, 4: 2}, Find(2)=2, Find(3)=0, Add (2,3)=33 Succeeded, w=58\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=38 Succeeded, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=51 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=63 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=64 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=67 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,51],[0,2,11],[0,3,44],[0,4,91],[0,5,52],[1,2,43],[1,3,41],[1,4,42],[1,5,45],[2,3,15],[2,4,7],[2,5,15],[3,4,41],[3,5,5],[4,5,24]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,51],[0,2,11],[0,3,44],[0,4,91],[0,5,52],[1,2,43],[1,3,41],[1,4,42],[1,5,45],[2,3,15],[2,4,7],[2,5,15],[3,4,41],[3,5,5],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,51],[0,2,11],[0,3,44],[0,4,91],[0,5,52],[1,2,43],[1,3,41],[1,4,42],[1,5,45],[2,3,15],[2,4,7],[2,5,15],[3,4,41],[3,5,5],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,51],[0,2,11],[0,3,44],[0,4,91],[0,5,52],[1,2,43],[1,3,41],[1,4,42],[1,5,45],[2,3,15],[2,4,7],[2,5,15],[3,4,41],[3,5,5],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=5, w=5\",\"Add (2,4)=7, w=12\",\"Add (0,2)=11, w=23\",\"Add (2,3)=15, w=38\",\"Add (1,3)=41, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,51],[0,2,11],[0,3,44],[0,4,91],[0,5,52],[1,2,43],[1,3,41],[1,4,42],[1,5,45],[2,3,15],[2,4,7],[2,5,15],[3,4,41],[3,5,5],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=5 Succeeded, w=5\",\"Add (2,4)=7 Succeeded, w=12\",\"Add (0,2)=11 Succeeded, w=23\",\"Add (2,3)=15 Succeeded, w=38\",\"Add (2,5)=15 Failed, w=38\",\"Add (4,5)=24 Failed, w=38\",\"Add (1,3)=41 Succeeded, w=79\",\"Add (3,4)=41 Failed, w=79\",\"Add (1,4)=42 Failed, w=79\",\"Add (1,2)=43 Failed, w=79\",\"Add (0,3)=44 Failed, w=79\",\"Add (1,5)=45 Failed, w=79\",\"Add (0,1)=51 Failed, w=79\",\"Add (0,5)=52 Failed, w=79\",\"Add (0,4)=91 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,51],[0,2,11],[0,3,44],[0,4,91],[0,5,52],[1,2,43],[1,3,41],[1,4,42],[1,5,45],[2,3,15],[2,4,7],[2,5,15],[3,4,41],[3,5,5],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=5,(2,4)=7,(0,2)=11,(2,3)=15,(2,5)=15,(4,5)=24,(1,3)=41,(3,4)=41,(1,4)=42,(1,2)=43,(0,3)=44,(1,5)=45,(0,1)=51,(0,5)=52,(0,4)=91]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=5\",\"Find(2)=2, Find(4)=4, Add (2,4)=7 Succeeded, w=12\",\"Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=23\",\"Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=38\",\"Find(2)=2, Find(5)=2, Add (2,5)=15 Failed, w=38\",\"Find(4)=2, Find(5)=2, Add (4,5)=24 Failed, w=38\",\"Find(1)=1, Find(3)=2, Add (1,3)=41 Succeeded, w=79\",\"Find(3)=2, Find(4)=2, Add (3,4)=41 Failed, w=79\",\"Find(1)=2, Find(4)=2, Add (1,4)=42 Failed, w=79\",\"Find(1)=2, Find(2)=2, Add (1,2)=43 Failed, w=79\",\"Find(0)=2, Find(3)=2, Add (0,3)=44 Failed, w=79\",\"Find(1)=2, Find(5)=2, Add (1,5)=45 Failed, w=79\",\"Find(0)=2, Find(1)=2, Add (0,1)=51 Failed, w=79\",\"Find(0)=2, Find(5)=2, Add (0,5)=52 Failed, w=79\",\"Find(0)=2, Find(4)=2, Add (0,4)=91 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,51],[0,2,11],[0,3,44],[0,4,91],[0,5,52],[1,2,43],[1,3,41],[1,4,42],[1,5,45],[2,3,15],[2,4,7],[2,5,15],[3,4,41],[3,5,5],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=5,(2,4)=7,(0,2)=11,(2,3)=15,(2,5)=15,(4,5)=24,(1,3)=41,(3,4)=41,(1,4)=42,(1,2)=43,(0,3)=44,(1,5)=45,(0,1)=51,(0,5)=52,(0,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3}, Find(2)=2, Find(4)=4, Add (2,4)=7 Succeeded, w=12\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3}, Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=23\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 3}, Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=38\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=15 Failed, w=38\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=24 Failed, w=38\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(3)=2, Add (1,3)=41 Succeeded, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=41 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=42 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=43 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=44 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=45 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=51 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=52 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=91 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,86],[0,4,53],[0,5,55],[0,6,55],[0,7,35],[1,2,52],[1,4,93],[1,6,28],[2,3,12],[2,5,65],[3,5,24],[3,6,2],[3,7,53],[4,5,27],[4,6,7],[4,7,51],[5,6,95],[6,7,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,86],[0,4,53],[0,5,55],[0,6,55],[0,7,35],[1,2,52],[1,4,93],[1,6,28],[2,3,12],[2,5,65],[3,5,24],[3,6,2],[3,7,53],[4,5,27],[4,6,7],[4,7,51],[5,6,95],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,86],[0,4,53],[0,5,55],[0,6,55],[0,7,35],[1,2,52],[1,4,93],[1,6,28],[2,3,12],[2,5,65],[3,5,24],[3,6,2],[3,7,53],[4,5,27],[4,6,7],[4,7,51],[5,6,95],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (4,6)\",\"Add (2,3)\",\"Add (3,5)\",\"Add (1,6)\",\"Add (0,7)\",\"Add (4,7)\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,86],[0,4,53],[0,5,55],[0,6,55],[0,7,35],[1,2,52],[1,4,93],[1,6,28],[2,3,12],[2,5,65],[3,5,24],[3,6,2],[3,7,53],[4,5,27],[4,6,7],[4,7,51],[5,6,95],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=2, w=2\",\"Add (4,6)=7, w=9\",\"Add (2,3)=12, w=21\",\"Add (3,5)=24, w=45\",\"Add (1,6)=28, w=73\",\"Add (0,7)=35, w=108\",\"Add (4,7)=51, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,86],[0,4,53],[0,5,55],[0,6,55],[0,7,35],[1,2,52],[1,4,93],[1,6,28],[2,3,12],[2,5,65],[3,5,24],[3,6,2],[3,7,53],[4,5,27],[4,6,7],[4,7,51],[5,6,95],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=2 Succeeded, w=2\",\"Add (4,6)=7 Succeeded, w=9\",\"Add (2,3)=12 Succeeded, w=21\",\"Add (3,5)=24 Succeeded, w=45\",\"Add (4,5)=27 Failed, w=45\",\"Add (1,6)=28 Succeeded, w=73\",\"Add (0,7)=35 Succeeded, w=108\",\"Add (4,7)=51 Succeeded, w=159\",\"Add (1,2)=52 Failed, w=159\",\"Add (0,4)=53 Failed, w=159\",\"Add (3,7)=53 Failed, w=159\",\"Add (0,5)=55 Failed, w=159\",\"Add (0,6)=55 Failed, w=159\",\"Add (2,5)=65 Failed, w=159\",\"Add (0,3)=86 Failed, w=159\",\"Add (1,4)=93 Failed, w=159\",\"Add (6,7)=94 Failed, w=159\",\"Add (5,6)=95 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,86],[0,4,53],[0,5,55],[0,6,55],[0,7,35],[1,2,52],[1,4,93],[1,6,28],[2,3,12],[2,5,65],[3,5,24],[3,6,2],[3,7,53],[4,5,27],[4,6,7],[4,7,51],[5,6,95],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=2,(4,6)=7,(2,3)=12,(3,5)=24,(4,5)=27,(1,6)=28,(0,7)=35,(4,7)=51,(1,2)=52,(0,4)=53,(3,7)=53,(0,5)=55,(0,6)=55,(2,5)=65,(0,3)=86,(1,4)=93,(6,7)=94,(5,6)=95]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=2 Succeeded, w=2\",\"Find(4)=4, Find(6)=3, Add (4,6)=7 Succeeded, w=9\",\"Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=21\",\"Find(3)=3, Find(5)=5, Add (3,5)=24 Succeeded, w=45\",\"Find(4)=3, Find(5)=3, Add (4,5)=27 Failed, w=45\",\"Find(1)=1, Find(6)=3, Add (1,6)=28 Succeeded, w=73\",\"Find(0)=0, Find(7)=7, Add (0,7)=35 Succeeded, w=108\",\"Find(4)=3, Find(7)=0, Add (4,7)=51 Succeeded, w=159\",\"Find(1)=3, Find(2)=3, Add (1,2)=52 Failed, w=159\",\"Find(0)=3, Find(4)=3, Add (0,4)=53 Failed, w=159\",\"Find(3)=3, Find(7)=3, Add (3,7)=53 Failed, w=159\",\"Find(0)=3, Find(5)=3, Add (0,5)=55 Failed, w=159\",\"Find(0)=3, Find(6)=3, Add (0,6)=55 Failed, w=159\",\"Find(2)=3, Find(5)=3, Add (2,5)=65 Failed, w=159\",\"Find(0)=3, Find(3)=3, Add (0,3)=86 Failed, w=159\",\"Find(1)=3, Find(4)=3, Add (1,4)=93 Failed, w=159\",\"Find(6)=3, Find(7)=3, Add (6,7)=94 Failed, w=159\",\"Find(5)=3, Find(6)=3, Add (5,6)=95 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,86],[0,4,53],[0,5,55],[0,6,55],[0,7,35],[1,2,52],[1,4,93],[1,6,28],[2,3,12],[2,5,65],[3,5,24],[3,6,2],[3,7,53],[4,5,27],[4,6,7],[4,7,51],[5,6,95],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=2,(4,6)=7,(2,3)=12,(3,5)=24,(4,5)=27,(1,6)=28,(0,7)=35,(4,7)=51,(1,2)=52,(0,4)=53,(3,7)=53,(0,5)=55,(0,6)=55,(2,5)=65,(0,3)=86,(1,4)=93,(6,7)=94,(5,6)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3, 7: 7}, Find(4)=4, Find(6)=3, Add (4,6)=7 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=24 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 7}, Find(4)=3, Find(5)=3, Add (4,5)=27 Failed, w=45\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 7}, Find(1)=1, Find(6)=3, Add (1,6)=28 Succeeded, w=73\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=35 Succeeded, w=108\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 0}, Find(4)=3, Find(7)=0, Add (4,7)=51 Succeeded, w=159\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 0}, Find(1)=3, Find(2)=3, Add (1,2)=52 Failed, w=159\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 0}, Find(0)=3, Find(4)=3, Add (0,4)=53 Failed, w=159\",\"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)=53 Failed, w=159\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(5)=3, Add (0,5)=55 Failed, w=159\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=55 Failed, w=159\",\"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)=65 Failed, w=159\",\"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)=86 Failed, w=159\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=93 Failed, w=159\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(6)=3, Find(7)=3, Add (6,7)=94 Failed, w=159\",\"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)=95 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,91],[0,3,6],[0,4,25],[0,5,56],[0,6,50],[1,3,73],[1,4,37],[1,5,70],[1,6,33],[2,3,8],[2,4,99],[2,5,93],[2,6,72],[2,7,32],[3,4,48],[3,6,1],[3,7,95],[4,5,10],[4,6,31],[5,6,78],[5,7,73],[6,7,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,3,6],[0,4,25],[0,5,56],[0,6,50],[1,3,73],[1,4,37],[1,5,70],[1,6,33],[2,3,8],[2,4,99],[2,5,93],[2,6,72],[2,7,32],[3,4,48],[3,6,1],[3,7,95],[4,5,10],[4,6,31],[5,6,78],[5,7,73],[6,7,45]]}",
"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\":[[0,1,91],[0,3,6],[0,4,25],[0,5,56],[0,6,50],[1,3,73],[1,4,37],[1,5,70],[1,6,33],[2,3,8],[2,4,99],[2,5,93],[2,6,72],[2,7,32],[3,4,48],[3,6,1],[3,7,95],[4,5,10],[4,6,31],[5,6,78],[5,7,73],[6,7,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (4,5)\",\"Add (0,4)\",\"Add (2,7)\",\"Add (1,6)\"],\"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\":[[0,1,91],[0,3,6],[0,4,25],[0,5,56],[0,6,50],[1,3,73],[1,4,37],[1,5,70],[1,6,33],[2,3,8],[2,4,99],[2,5,93],[2,6,72],[2,7,32],[3,4,48],[3,6,1],[3,7,95],[4,5,10],[4,6,31],[5,6,78],[5,7,73],[6,7,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=1, w=1\",\"Add (0,3)=6, w=7\",\"Add (2,3)=8, w=15\",\"Add (4,5)=10, w=25\",\"Add (0,4)=25, w=50\",\"Add (2,7)=32, w=82\",\"Add (1,6)=33, 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\":[[0,1,91],[0,3,6],[0,4,25],[0,5,56],[0,6,50],[1,3,73],[1,4,37],[1,5,70],[1,6,33],[2,3,8],[2,4,99],[2,5,93],[2,6,72],[2,7,32],[3,4,48],[3,6,1],[3,7,95],[4,5,10],[4,6,31],[5,6,78],[5,7,73],[6,7,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=1 Succeeded, w=1\",\"Add (0,3)=6 Succeeded, w=7\",\"Add (2,3)=8 Succeeded, w=15\",\"Add (4,5)=10 Succeeded, w=25\",\"Add (0,4)=25 Succeeded, w=50\",\"Add (4,6)=31 Failed, w=50\",\"Add (2,7)=32 Succeeded, w=82\",\"Add (1,6)=33 Succeeded, w=115\",\"Add (1,4)=37 Failed, w=115\",\"Add (6,7)=45 Failed, w=115\",\"Add (3,4)=48 Failed, w=115\",\"Add (0,6)=50 Failed, w=115\",\"Add (0,5)=56 Failed, w=115\",\"Add (1,5)=70 Failed, w=115\",\"Add (2,6)=72 Failed, w=115\",\"Add (1,3)=73 Failed, w=115\",\"Add (5,7)=73 Failed, w=115\",\"Add (5,6)=78 Failed, w=115\",\"Add (0,1)=91 Failed, w=115\",\"Add (2,5)=93 Failed, w=115\",\"Add (3,7)=95 Failed, w=115\",\"Add (2,4)=99 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,3,6],[0,4,25],[0,5,56],[0,6,50],[1,3,73],[1,4,37],[1,5,70],[1,6,33],[2,3,8],[2,4,99],[2,5,93],[2,6,72],[2,7,32],[3,4,48],[3,6,1],[3,7,95],[4,5,10],[4,6,31],[5,6,78],[5,7,73],[6,7,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=1,(0,3)=6,(2,3)=8,(4,5)=10,(0,4)=25,(4,6)=31,(2,7)=32,(1,6)=33,(1,4)=37,(6,7)=45,(3,4)=48,(0,6)=50,(0,5)=56,(1,5)=70,(2,6)=72,(1,3)=73,(5,7)=73,(5,6)=78,(0,1)=91,(2,5)=93,(3,7)=95,(2,4)=99]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=7\",\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=15\",\"Find(4)=4, Find(5)=5, Add (4,5)=10 Succeeded, w=25\",\"Find(0)=3, Find(4)=4, Add (0,4)=25 Succeeded, w=50\",\"Find(4)=3, Find(6)=3, Add (4,6)=31 Failed, w=50\",\"Find(2)=3, Find(7)=7, Add (2,7)=32 Succeeded, w=82\",\"Find(1)=1, Find(6)=3, Add (1,6)=33 Succeeded, w=115\",\"Find(1)=3, Find(4)=3, Add (1,4)=37 Failed, w=115\",\"Find(6)=3, Find(7)=3, Add (6,7)=45 Failed, w=115\",\"Find(3)=3, Find(4)=3, Add (3,4)=48 Failed, w=115\",\"Find(0)=3, Find(6)=3, Add (0,6)=50 Failed, w=115\",\"Find(0)=3, Find(5)=3, Add (0,5)=56 Failed, w=115\",\"Find(1)=3, Find(5)=3, Add (1,5)=70 Failed, w=115\",\"Find(2)=3, Find(6)=3, Add (2,6)=72 Failed, w=115\",\"Find(1)=3, Find(3)=3, Add (1,3)=73 Failed, w=115\",\"Find(5)=3, Find(7)=3, Add (5,7)=73 Failed, w=115\",\"Find(5)=3, Find(6)=3, Add (5,6)=78 Failed, w=115\",\"Find(0)=3, Find(1)=3, Add (0,1)=91 Failed, w=115\",\"Find(2)=3, Find(5)=3, Add (2,5)=93 Failed, w=115\",\"Find(3)=3, Find(7)=3, Add (3,7)=95 Failed, w=115\",\"Find(2)=3, Find(4)=3, Add (2,4)=99 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,3,6],[0,4,25],[0,5,56],[0,6,50],[1,3,73],[1,4,37],[1,5,70],[1,6,33],[2,3,8],[2,4,99],[2,5,93],[2,6,72],[2,7,32],[3,4,48],[3,6,1],[3,7,95],[4,5,10],[4,6,31],[5,6,78],[5,7,73],[6,7,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=1,(0,3)=6,(2,3)=8,(4,5)=10,(0,4)=25,(4,6)=31,(2,7)=32,(1,6)=33,(1,4)=37,(6,7)=45,(3,4)=48,(0,6)=50,(0,5)=56,(1,5)=70,(2,6)=72,(1,3)=73,(5,7)=73,(5,6)=78,(0,1)=91,(2,5)=93,(3,7)=95,(2,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=1 Succeeded, w=1\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=7\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=15\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 4, 6: 3, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=10 Succeeded, w=25\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 7}, Find(0)=3, Find(4)=4, Add (0,4)=25 Succeeded, w=50\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 7}, Find(4)=3, Find(6)=3, Add (4,6)=31 Failed, w=50\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 3}, Find(2)=3, Find(7)=7, Add (2,7)=32 Succeeded, w=82\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 3}, Find(1)=1, Find(6)=3, Add (1,6)=33 Succeeded, w=115\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=37 Failed, w=115\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 3}, Find(6)=3, Find(7)=3, Add (6,7)=45 Failed, w=115\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 3}, Find(3)=3, Find(4)=3, Add (3,4)=48 Failed, w=115\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=50 Failed, w=115\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(5)=3, Add (0,5)=56 Failed, w=115\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=70 Failed, w=115\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(6)=3, Add (2,6)=72 Failed, w=115\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=73 Failed, w=115\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=73 Failed, w=115\",\"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)=78 Failed, w=115\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(1)=3, Add (0,1)=91 Failed, w=115\",\"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)=93 Failed, w=115\",\"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)=95 Failed, w=115\",\"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)=99 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,39],[0,2,28],[0,4,100],[1,2,32],[1,3,10],[2,4,94],[3,4,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,28],[0,4,100],[1,2,32],[1,3,10],[2,4,94],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,28],[0,4,100],[1,2,32],[1,3,10],[2,4,94],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (3,4)\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,28],[0,4,100],[1,2,32],[1,3,10],[2,4,94],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=10, w=10\",\"Add (0,2)=28, w=38\",\"Add (1,2)=32, w=70\",\"Add (3,4)=80, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,28],[0,4,100],[1,2,32],[1,3,10],[2,4,94],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=10 Succeeded, w=10\",\"Add (0,2)=28 Succeeded, w=38\",\"Add (1,2)=32 Succeeded, w=70\",\"Add (0,1)=39 Failed, w=70\",\"Add (3,4)=80 Succeeded, w=150\",\"Add (2,4)=94 Failed, w=150\",\"Add (0,4)=100 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,28],[0,4,100],[1,2,32],[1,3,10],[2,4,94],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=10,(0,2)=28,(1,2)=32,(0,1)=39,(3,4)=80,(2,4)=94,(0,4)=100]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=10\",\"Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=38\",\"Find(1)=1, Find(2)=0, Add (1,2)=32 Succeeded, w=70\",\"Find(0)=1, Find(1)=1, Add (0,1)=39 Failed, w=70\",\"Find(3)=1, Find(4)=4, Add (3,4)=80 Succeeded, w=150\",\"Find(2)=1, Find(4)=1, Add (2,4)=94 Failed, w=150\",\"Find(0)=1, Find(4)=1, Add (0,4)=100 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,28],[0,4,100],[1,2,32],[1,3,10],[2,4,94],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=10,(0,2)=28,(1,2)=32,(0,1)=39,(3,4)=80,(2,4)=94,(0,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=38\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 4}, Find(1)=1, Find(2)=0, Add (1,2)=32 Succeeded, w=70\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 4}, Find(0)=1, Find(1)=1, Add (0,1)=39 Failed, w=70\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1}, Find(3)=1, Find(4)=4, Add (3,4)=80 Succeeded, w=150\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=94 Failed, w=150\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=100 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,42],[0,2,37],[0,3,48],[0,4,8],[1,4,33],[1,5,50],[1,6,88],[2,5,84],[2,6,65],[3,4,79],[3,5,26],[5,6,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,2,37],[0,3,48],[0,4,8],[1,4,33],[1,5,50],[1,6,88],[2,5,84],[2,6,65],[3,4,79],[3,5,26],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,2,37],[0,3,48],[0,4,8],[1,4,33],[1,5,50],[1,6,88],[2,5,84],[2,6,65],[3,4,79],[3,5,26],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (5,6)\",\"Add (3,5)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,2,37],[0,3,48],[0,4,8],[1,4,33],[1,5,50],[1,6,88],[2,5,84],[2,6,65],[3,4,79],[3,5,26],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=8, w=8\",\"Add (5,6)=15, w=23\",\"Add (3,5)=26, w=49\",\"Add (1,4)=33, w=82\",\"Add (0,2)=37, w=119\",\"Add (0,3)=48, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,2,37],[0,3,48],[0,4,8],[1,4,33],[1,5,50],[1,6,88],[2,5,84],[2,6,65],[3,4,79],[3,5,26],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=8 Succeeded, w=8\",\"Add (5,6)=15 Succeeded, w=23\",\"Add (3,5)=26 Succeeded, w=49\",\"Add (1,4)=33 Succeeded, w=82\",\"Add (0,2)=37 Succeeded, w=119\",\"Add (0,1)=42 Failed, w=119\",\"Add (0,3)=48 Succeeded, w=167\",\"Add (1,5)=50 Failed, w=167\",\"Add (2,6)=65 Failed, w=167\",\"Add (3,4)=79 Failed, w=167\",\"Add (2,5)=84 Failed, w=167\",\"Add (1,6)=88 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,2,37],[0,3,48],[0,4,8],[1,4,33],[1,5,50],[1,6,88],[2,5,84],[2,6,65],[3,4,79],[3,5,26],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=8,(5,6)=15,(3,5)=26,(1,4)=33,(0,2)=37,(0,1)=42,(0,3)=48,(1,5)=50,(2,6)=65,(3,4)=79,(2,5)=84,(1,6)=88]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=8\",\"Find(5)=5, Find(6)=6, Add (5,6)=15 Succeeded, w=23\",\"Find(3)=3, Find(5)=5, Add (3,5)=26 Succeeded, w=49\",\"Find(1)=1, Find(4)=0, Add (1,4)=33 Succeeded, w=82\",\"Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=119\",\"Find(0)=0, Find(1)=0, Add (0,1)=42 Failed, w=119\",\"Find(0)=0, Find(3)=5, Add (0,3)=48 Succeeded, w=167\",\"Find(1)=0, Find(5)=0, Add (1,5)=50 Failed, w=167\",\"Find(2)=0, Find(6)=0, Add (2,6)=65 Failed, w=167\",\"Find(3)=0, Find(4)=0, Add (3,4)=79 Failed, w=167\",\"Find(2)=0, Find(5)=0, Add (2,5)=84 Failed, w=167\",\"Find(1)=0, Find(6)=0, Add (1,6)=88 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,2,37],[0,3,48],[0,4,8],[1,4,33],[1,5,50],[1,6,88],[2,5,84],[2,6,65],[3,4,79],[3,5,26],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=8,(5,6)=15,(3,5)=26,(1,4)=33,(0,2)=37,(0,1)=42,(0,3)=48,(1,5)=50,(2,6)=65,(3,4)=79,(2,5)=84,(1,6)=88]\",\"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)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=15 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 0, 5: 5, 6: 5}, Find(3)=3, Find(5)=5, Add (3,5)=26 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 5, 4: 0, 5: 5, 6: 5}, Find(1)=1, Find(4)=0, Add (1,4)=33 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 0, 5: 5, 6: 5}, Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 0, 5: 5, 6: 5}, Find(0)=0, Find(1)=0, Add (0,1)=42 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 0, 5: 0, 6: 5}, Find(0)=0, Find(3)=5, Add (0,3)=48 Succeeded, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 0, 5: 0, 6: 5}, Find(1)=0, Find(5)=0, Add (1,5)=50 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=65 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=79 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=84 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=88 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,52],[0,2,17],[0,4,50],[0,5,40],[0,7,26],[1,3,55],[1,4,3],[1,5,83],[1,6,88],[1,7,75],[2,3,51],[2,4,48],[2,5,19],[2,6,34],[2,7,28],[3,4,1],[3,5,13],[3,6,45],[3,7,31],[4,7,34],[6,7,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,17],[0,4,50],[0,5,40],[0,7,26],[1,3,55],[1,4,3],[1,5,83],[1,6,88],[1,7,75],[2,3,51],[2,4,48],[2,5,19],[2,6,34],[2,7,28],[3,4,1],[3,5,13],[3,6,45],[3,7,31],[4,7,34],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,17],[0,4,50],[0,5,40],[0,7,26],[1,3,55],[1,4,3],[1,5,83],[1,6,88],[1,7,75],[2,3,51],[2,4,48],[2,5,19],[2,6,34],[2,7,28],[3,4,1],[3,5,13],[3,6,45],[3,7,31],[4,7,34],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,4)\",\"Add (3,5)\",\"Add (0,2)\",\"Add (2,5)\",\"Add (0,7)\",\"Add (2,6)\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,17],[0,4,50],[0,5,40],[0,7,26],[1,3,55],[1,4,3],[1,5,83],[1,6,88],[1,7,75],[2,3,51],[2,4,48],[2,5,19],[2,6,34],[2,7,28],[3,4,1],[3,5,13],[3,6,45],[3,7,31],[4,7,34],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1, w=1\",\"Add (1,4)=3, w=4\",\"Add (3,5)=13, w=17\",\"Add (0,2)=17, w=34\",\"Add (2,5)=19, w=53\",\"Add (0,7)=26, w=79\",\"Add (2,6)=34, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,17],[0,4,50],[0,5,40],[0,7,26],[1,3,55],[1,4,3],[1,5,83],[1,6,88],[1,7,75],[2,3,51],[2,4,48],[2,5,19],[2,6,34],[2,7,28],[3,4,1],[3,5,13],[3,6,45],[3,7,31],[4,7,34],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1 Succeeded, w=1\",\"Add (1,4)=3 Succeeded, w=4\",\"Add (3,5)=13 Succeeded, w=17\",\"Add (0,2)=17 Succeeded, w=34\",\"Add (2,5)=19 Succeeded, w=53\",\"Add (0,7)=26 Succeeded, w=79\",\"Add (2,7)=28 Failed, w=79\",\"Add (3,7)=31 Failed, w=79\",\"Add (2,6)=34 Succeeded, w=113\",\"Add (4,7)=34 Failed, w=113\",\"Add (0,5)=40 Failed, w=113\",\"Add (3,6)=45 Failed, w=113\",\"Add (2,4)=48 Failed, w=113\",\"Add (0,4)=50 Failed, w=113\",\"Add (2,3)=51 Failed, w=113\",\"Add (0,1)=52 Failed, w=113\",\"Add (1,3)=55 Failed, w=113\",\"Add (6,7)=60 Failed, w=113\",\"Add (1,7)=75 Failed, w=113\",\"Add (1,5)=83 Failed, w=113\",\"Add (1,6)=88 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,17],[0,4,50],[0,5,40],[0,7,26],[1,3,55],[1,4,3],[1,5,83],[1,6,88],[1,7,75],[2,3,51],[2,4,48],[2,5,19],[2,6,34],[2,7,28],[3,4,1],[3,5,13],[3,6,45],[3,7,31],[4,7,34],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(1,4)=3,(3,5)=13,(0,2)=17,(2,5)=19,(0,7)=26,(2,7)=28,(3,7)=31,(2,6)=34,(4,7)=34,(0,5)=40,(3,6)=45,(2,4)=48,(0,4)=50,(2,3)=51,(0,1)=52,(1,3)=55,(6,7)=60,(1,7)=75,(1,5)=83,(1,6)=88]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Find(1)=1, Find(4)=3, Add (1,4)=3 Succeeded, w=4\",\"Find(3)=3, Find(5)=5, Add (3,5)=13 Succeeded, w=17\",\"Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=34\",\"Find(2)=0, Find(5)=3, Add (2,5)=19 Succeeded, w=53\",\"Find(0)=0, Find(7)=7, Add (0,7)=26 Succeeded, w=79\",\"Find(2)=0, Find(7)=0, Add (2,7)=28 Failed, w=79\",\"Find(3)=0, Find(7)=0, Add (3,7)=31 Failed, w=79\",\"Find(2)=0, Find(6)=6, Add (2,6)=34 Succeeded, w=113\",\"Find(4)=0, Find(7)=0, Add (4,7)=34 Failed, w=113\",\"Find(0)=0, Find(5)=0, Add (0,5)=40 Failed, w=113\",\"Find(3)=0, Find(6)=0, Add (3,6)=45 Failed, w=113\",\"Find(2)=0, Find(4)=0, Add (2,4)=48 Failed, w=113\",\"Find(0)=0, Find(4)=0, Add (0,4)=50 Failed, w=113\",\"Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=113\",\"Find(0)=0, Find(1)=0, Add (0,1)=52 Failed, w=113\",\"Find(1)=0, Find(3)=0, Add (1,3)=55 Failed, w=113\",\"Find(6)=0, Find(7)=0, Add (6,7)=60 Failed, w=113\",\"Find(1)=0, Find(7)=0, Add (1,7)=75 Failed, w=113\",\"Find(1)=0, Find(5)=0, Add (1,5)=83 Failed, w=113\",\"Find(1)=0, Find(6)=0, Add (1,6)=88 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,17],[0,4,50],[0,5,40],[0,7,26],[1,3,55],[1,4,3],[1,5,83],[1,6,88],[1,7,75],[2,3,51],[2,4,48],[2,5,19],[2,6,34],[2,7,28],[3,4,1],[3,5,13],[3,6,45],[3,7,31],[4,7,34],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(1,4)=3,(3,5)=13,(0,2)=17,(2,5)=19,(0,7)=26,(2,7)=28,(3,7)=31,(2,6)=34,(4,7)=34,(0,5)=40,(3,6)=45,(2,4)=48,(0,4)=50,(2,3)=51,(0,1)=52,(1,3)=55,(6,7)=60,(1,7)=75,(1,5)=83,(1,6)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(4)=3, Add (1,4)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=13 Succeeded, w=17\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3, 5: 3, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=34\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3, 5: 3, 6: 6, 7: 7}, Find(2)=0, Find(5)=3, Add (2,5)=19 Succeeded, w=53\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3, 5: 3, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=26 Succeeded, w=79\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3, 5: 3, 6: 6, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=28 Failed, w=79\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3, 5: 3, 6: 6, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=31 Failed, w=79\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3, 5: 3, 6: 0, 7: 0}, Find(2)=0, Find(6)=6, Add (2,6)=34 Succeeded, w=113\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=34 Failed, w=113\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=40 Failed, w=113\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=45 Failed, w=113\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=48 Failed, w=113\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=50 Failed, w=113\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=113\",\"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)=52 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=55 Failed, w=113\",\"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)=60 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=75 Failed, w=113\",\"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)=83 Failed, w=113\",\"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)=88 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,25],[0,3,73],[0,6,26],[1,3,90],[1,4,92],[1,5,38],[1,6,59],[1,7,96],[2,3,30],[2,4,63],[2,5,16],[2,7,52],[3,7,88],[4,5,98],[4,6,28],[4,7,45],[5,6,14],[5,7,93],[6,7,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,3,73],[0,6,26],[1,3,90],[1,4,92],[1,5,38],[1,6,59],[1,7,96],[2,3,30],[2,4,63],[2,5,16],[2,7,52],[3,7,88],[4,5,98],[4,6,28],[4,7,45],[5,6,14],[5,7,93],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,3,73],[0,6,26],[1,3,90],[1,4,92],[1,5,38],[1,6,59],[1,7,96],[2,3,30],[2,4,63],[2,5,16],[2,7,52],[3,7,88],[4,5,98],[4,6,28],[4,7,45],[5,6,14],[5,7,93],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (2,5)\",\"Add (0,1)\",\"Add (0,6)\",\"Add (4,6)\",\"Add (2,3)\",\"Add (4,7)\"],\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,3,73],[0,6,26],[1,3,90],[1,4,92],[1,5,38],[1,6,59],[1,7,96],[2,3,30],[2,4,63],[2,5,16],[2,7,52],[3,7,88],[4,5,98],[4,6,28],[4,7,45],[5,6,14],[5,7,93],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=14, w=14\",\"Add (2,5)=16, w=30\",\"Add (0,1)=25, w=55\",\"Add (0,6)=26, w=81\",\"Add (4,6)=28, w=109\",\"Add (2,3)=30, w=139\",\"Add (4,7)=45, w=184\"],\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,3,73],[0,6,26],[1,3,90],[1,4,92],[1,5,38],[1,6,59],[1,7,96],[2,3,30],[2,4,63],[2,5,16],[2,7,52],[3,7,88],[4,5,98],[4,6,28],[4,7,45],[5,6,14],[5,7,93],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=14 Succeeded, w=14\",\"Add (2,5)=16 Succeeded, w=30\",\"Add (0,1)=25 Succeeded, w=55\",\"Add (0,6)=26 Succeeded, w=81\",\"Add (4,6)=28 Succeeded, w=109\",\"Add (2,3)=30 Succeeded, w=139\",\"Add (1,5)=38 Failed, w=139\",\"Add (4,7)=45 Succeeded, w=184\",\"Add (2,7)=52 Failed, w=184\",\"Add (1,6)=59 Failed, w=184\",\"Add (2,4)=63 Failed, w=184\",\"Add (6,7)=67 Failed, w=184\",\"Add (0,3)=73 Failed, w=184\",\"Add (3,7)=88 Failed, w=184\",\"Add (1,3)=90 Failed, w=184\",\"Add (1,4)=92 Failed, w=184\",\"Add (5,7)=93 Failed, w=184\",\"Add (1,7)=96 Failed, w=184\",\"Add (4,5)=98 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,3,73],[0,6,26],[1,3,90],[1,4,92],[1,5,38],[1,6,59],[1,7,96],[2,3,30],[2,4,63],[2,5,16],[2,7,52],[3,7,88],[4,5,98],[4,6,28],[4,7,45],[5,6,14],[5,7,93],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=14,(2,5)=16,(0,1)=25,(0,6)=26,(4,6)=28,(2,3)=30,(1,5)=38,(4,7)=45,(2,7)=52,(1,6)=59,(2,4)=63,(6,7)=67,(0,3)=73,(3,7)=88,(1,3)=90,(1,4)=92,(5,7)=93,(1,7)=96,(4,5)=98]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=14 Succeeded, w=14\",\"Find(2)=2, Find(5)=5, Add (2,5)=16 Succeeded, w=30\",\"Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=55\",\"Find(0)=0, Find(6)=5, Add (0,6)=26 Succeeded, w=81\",\"Find(4)=4, Find(6)=0, Add (4,6)=28 Succeeded, w=109\",\"Find(2)=0, Find(3)=3, Add (2,3)=30 Succeeded, w=139\",\"Find(1)=0, Find(5)=0, Add (1,5)=38 Failed, w=139\",\"Find(4)=0, Find(7)=7, Add (4,7)=45 Succeeded, w=184\",\"Find(2)=0, Find(7)=0, Add (2,7)=52 Failed, w=184\",\"Find(1)=0, Find(6)=0, Add (1,6)=59 Failed, w=184\",\"Find(2)=0, Find(4)=0, Add (2,4)=63 Failed, w=184\",\"Find(6)=0, Find(7)=0, Add (6,7)=67 Failed, w=184\",\"Find(0)=0, Find(3)=0, Add (0,3)=73 Failed, w=184\",\"Find(3)=0, Find(7)=0, Add (3,7)=88 Failed, w=184\",\"Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=184\",\"Find(1)=0, Find(4)=0, Add (1,4)=92 Failed, w=184\",\"Find(5)=0, Find(7)=0, Add (5,7)=93 Failed, w=184\",\"Find(1)=0, Find(7)=0, Add (1,7)=96 Failed, w=184\",\"Find(4)=0, Find(5)=0, Add (4,5)=98 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,3,73],[0,6,26],[1,3,90],[1,4,92],[1,5,38],[1,6,59],[1,7,96],[2,3,30],[2,4,63],[2,5,16],[2,7,52],[3,7,88],[4,5,98],[4,6,28],[4,7,45],[5,6,14],[5,7,93],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=14,(2,5)=16,(0,1)=25,(0,6)=26,(4,6)=28,(2,3)=30,(1,5)=38,(4,7)=45,(2,7)=52,(1,6)=59,(2,4)=63,(6,7)=67,(0,3)=73,(3,7)=88,(1,3)=90,(1,4)=92,(5,7)=93,(1,7)=96,(4,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=16 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 3, 4: 4, 5: 0, 6: 5, 7: 7}, Find(0)=0, Find(6)=5, Add (0,6)=26 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 3, 4: 0, 5: 0, 6: 0, 7: 7}, Find(4)=4, Find(6)=0, Add (4,6)=28 Succeeded, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(2)=0, Find(3)=3, Add (2,3)=30 Succeeded, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(1)=0, Find(5)=0, Add (1,5)=38 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=7, Add (4,7)=45 Succeeded, w=184\",\"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)=52 Failed, w=184\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=59 Failed, w=184\",\"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)=63 Failed, w=184\",\"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)=67 Failed, w=184\",\"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)=73 Failed, w=184\",\"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)=88 Failed, w=184\",\"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)=90 Failed, w=184\",\"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)=92 Failed, w=184\",\"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)=93 Failed, w=184\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=96 Failed, w=184\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=98 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,61],[0,3,52],[0,4,34],[0,5,81],[0,7,78],[1,2,16],[1,4,37],[1,6,79],[1,7,94],[2,3,23],[2,5,48],[2,6,89],[2,7,80],[3,4,46],[3,5,32],[3,7,64],[4,5,92],[4,6,48],[5,6,27],[5,7,6]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,61],[0,3,52],[0,4,34],[0,5,81],[0,7,78],[1,2,16],[1,4,37],[1,6,79],[1,7,94],[2,3,23],[2,5,48],[2,6,89],[2,7,80],[3,4,46],[3,5,32],[3,7,64],[4,5,92],[4,6,48],[5,6,27],[5,7,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,61],[0,3,52],[0,4,34],[0,5,81],[0,7,78],[1,2,16],[1,4,37],[1,6,79],[1,7,94],[2,3,23],[2,5,48],[2,6,89],[2,7,80],[3,4,46],[3,5,32],[3,7,64],[4,5,92],[4,6,48],[5,6,27],[5,7,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)\",\"Add (1,2)\",\"Add (2,3)\",\"Add (5,6)\",\"Add (3,5)\",\"Add (0,4)\",\"Add (1,4)\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,61],[0,3,52],[0,4,34],[0,5,81],[0,7,78],[1,2,16],[1,4,37],[1,6,79],[1,7,94],[2,3,23],[2,5,48],[2,6,89],[2,7,80],[3,4,46],[3,5,32],[3,7,64],[4,5,92],[4,6,48],[5,6,27],[5,7,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=6, w=6\",\"Add (1,2)=16, w=22\",\"Add (2,3)=23, w=45\",\"Add (5,6)=27, w=72\",\"Add (3,5)=32, w=104\",\"Add (0,4)=34, w=138\",\"Add (1,4)=37, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,61],[0,3,52],[0,4,34],[0,5,81],[0,7,78],[1,2,16],[1,4,37],[1,6,79],[1,7,94],[2,3,23],[2,5,48],[2,6,89],[2,7,80],[3,4,46],[3,5,32],[3,7,64],[4,5,92],[4,6,48],[5,6,27],[5,7,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=6 Succeeded, w=6\",\"Add (1,2)=16 Succeeded, w=22\",\"Add (2,3)=23 Succeeded, w=45\",\"Add (5,6)=27 Succeeded, w=72\",\"Add (3,5)=32 Succeeded, w=104\",\"Add (0,4)=34 Succeeded, w=138\",\"Add (1,4)=37 Succeeded, w=175\",\"Add (3,4)=46 Failed, w=175\",\"Add (2,5)=48 Failed, w=175\",\"Add (4,6)=48 Failed, w=175\",\"Add (0,3)=52 Failed, w=175\",\"Add (0,2)=61 Failed, w=175\",\"Add (3,7)=64 Failed, w=175\",\"Add (0,7)=78 Failed, w=175\",\"Add (1,6)=79 Failed, w=175\",\"Add (2,7)=80 Failed, w=175\",\"Add (0,5)=81 Failed, w=175\",\"Add (2,6)=89 Failed, w=175\",\"Add (4,5)=92 Failed, w=175\",\"Add (1,7)=94 Failed, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,61],[0,3,52],[0,4,34],[0,5,81],[0,7,78],[1,2,16],[1,4,37],[1,6,79],[1,7,94],[2,3,23],[2,5,48],[2,6,89],[2,7,80],[3,4,46],[3,5,32],[3,7,64],[4,5,92],[4,6,48],[5,6,27],[5,7,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=6,(1,2)=16,(2,3)=23,(5,6)=27,(3,5)=32,(0,4)=34,(1,4)=37,(3,4)=46,(2,5)=48,(4,6)=48,(0,3)=52,(0,2)=61,(3,7)=64,(0,7)=78,(1,6)=79,(2,7)=80,(0,5)=81,(2,6)=89,(4,5)=92,(1,7)=94]\",\"Process\":[\"Find(5)=5, Find(7)=7, Add (5,7)=6 Succeeded, w=6\",\"Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=22\",\"Find(2)=1, Find(3)=3, Add (2,3)=23 Succeeded, w=45\",\"Find(5)=5, Find(6)=6, Add (5,6)=27 Succeeded, w=72\",\"Find(3)=1, Find(5)=5, Add (3,5)=32 Succeeded, w=104\",\"Find(0)=0, Find(4)=4, Add (0,4)=34 Succeeded, w=138\",\"Find(1)=1, Find(4)=0, Add (1,4)=37 Succeeded, w=175\",\"Find(3)=1, Find(4)=1, Add (3,4)=46 Failed, w=175\",\"Find(2)=1, Find(5)=1, Add (2,5)=48 Failed, w=175\",\"Find(4)=1, Find(6)=1, Add (4,6)=48 Failed, w=175\",\"Find(0)=1, Find(3)=1, Add (0,3)=52 Failed, w=175\",\"Find(0)=1, Find(2)=1, Add (0,2)=61 Failed, w=175\",\"Find(3)=1, Find(7)=1, Add (3,7)=64 Failed, w=175\",\"Find(0)=1, Find(7)=1, Add (0,7)=78 Failed, w=175\",\"Find(1)=1, Find(6)=1, Add (1,6)=79 Failed, w=175\",\"Find(2)=1, Find(7)=1, Add (2,7)=80 Failed, w=175\",\"Find(0)=1, Find(5)=1, Add (0,5)=81 Failed, w=175\",\"Find(2)=1, Find(6)=1, Add (2,6)=89 Failed, w=175\",\"Find(4)=1, Find(5)=1, Add (4,5)=92 Failed, w=175\",\"Find(1)=1, Find(7)=1, Add (1,7)=94 Failed, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,61],[0,3,52],[0,4,34],[0,5,81],[0,7,78],[1,2,16],[1,4,37],[1,6,79],[1,7,94],[2,3,23],[2,5,48],[2,6,89],[2,7,80],[3,4,46],[3,5,32],[3,7,64],[4,5,92],[4,6,48],[5,6,27],[5,7,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=6,(1,2)=16,(2,3)=23,(5,6)=27,(3,5)=32,(0,4)=34,(1,4)=37,(3,4)=46,(2,5)=48,(4,6)=48,(0,3)=52,(0,2)=61,(3,7)=64,(0,7)=78,(1,6)=79,(2,7)=80,(0,5)=81,(2,6)=89,(4,5)=92,(1,7)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 6, 7: 5}, Find(2)=1, Find(3)=3, Add (2,3)=23 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 5, 7: 5}, Find(5)=5, Find(6)=6, Add (5,6)=27 Succeeded, w=72\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 5, 7: 5}, Find(3)=1, Find(5)=5, Add (3,5)=32 Succeeded, w=104\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 5, 7: 5}, Find(0)=0, Find(4)=4, Add (0,4)=34 Succeeded, w=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 5, 7: 5}, Find(1)=1, Find(4)=0, Add (1,4)=37 Succeeded, w=175\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5, 7: 5}, Find(3)=1, Find(4)=1, Add (3,4)=46 Failed, w=175\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5, 7: 5}, Find(2)=1, Find(5)=1, Add (2,5)=48 Failed, w=175\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(4)=1, Find(6)=1, Add (4,6)=48 Failed, w=175\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(0)=1, Find(3)=1, Add (0,3)=52 Failed, w=175\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(0)=1, Find(2)=1, Add (0,2)=61 Failed, w=175\",\"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)=64 Failed, w=175\",\"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)=78 Failed, w=175\",\"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)=79 Failed, w=175\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=80 Failed, w=175\",\"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)=81 Failed, w=175\",\"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)=89 Failed, w=175\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=92 Failed, w=175\",\"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)=94 Failed, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,0],[1,2,2],[2,4,77],[3,4,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,0],[1,2,2],[2,4,77],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,0],[1,2,2],[2,4,77],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (2,4)\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,0],[1,2,2],[2,4,77],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (1,2)=2, w=2\",\"Add (3,4)=13, w=15\",\"Add (2,4)=77, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,0],[1,2,2],[2,4,77],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (1,2)=2 Succeeded, w=2\",\"Add (3,4)=13 Succeeded, w=15\",\"Add (2,4)=77 Succeeded, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,0],[1,2,2],[2,4,77],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(1,2)=2,(3,4)=13,(2,4)=77]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Find(3)=0, Find(4)=4, Add (3,4)=13 Succeeded, w=15\",\"Find(2)=1, Find(4)=0, Add (2,4)=77 Succeeded, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,0],[1,2,2],[2,4,77],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(1,2)=2,(3,4)=13,(2,4)=77]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=13 Succeeded, w=15\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0}, Find(2)=1, Find(4)=0, Add (2,4)=77 Succeeded, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,88],[0,4,93],[0,5,42],[0,6,43],[1,2,20],[1,4,61],[1,5,24],[1,6,97],[2,3,76],[2,6,1],[3,5,79],[3,6,96],[4,5,88],[4,6,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,88],[0,4,93],[0,5,42],[0,6,43],[1,2,20],[1,4,61],[1,5,24],[1,6,97],[2,3,76],[2,6,1],[3,5,79],[3,6,96],[4,5,88],[4,6,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,88],[0,4,93],[0,5,42],[0,6,43],[1,2,20],[1,4,61],[1,5,24],[1,6,97],[2,3,76],[2,6,1],[3,5,79],[3,6,96],[4,5,88],[4,6,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (1,2)\",\"Add (1,5)\",\"Add (0,5)\",\"Add (4,6)\",\"Add (2,3)\"],\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,88],[0,4,93],[0,5,42],[0,6,43],[1,2,20],[1,4,61],[1,5,24],[1,6,97],[2,3,76],[2,6,1],[3,5,79],[3,6,96],[4,5,88],[4,6,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=1, w=1\",\"Add (1,2)=20, w=21\",\"Add (1,5)=24, w=45\",\"Add (0,5)=42, w=87\",\"Add (4,6)=55, w=142\",\"Add (2,3)=76, w=218\"],\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,88],[0,4,93],[0,5,42],[0,6,43],[1,2,20],[1,4,61],[1,5,24],[1,6,97],[2,3,76],[2,6,1],[3,5,79],[3,6,96],[4,5,88],[4,6,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=1 Succeeded, w=1\",\"Add (1,2)=20 Succeeded, w=21\",\"Add (1,5)=24 Succeeded, w=45\",\"Add (0,5)=42 Succeeded, w=87\",\"Add (0,6)=43 Failed, w=87\",\"Add (4,6)=55 Succeeded, w=142\",\"Add (1,4)=61 Failed, w=142\",\"Add (2,3)=76 Succeeded, w=218\",\"Add (3,5)=79 Failed, w=218\",\"Add (0,3)=88 Failed, w=218\",\"Add (4,5)=88 Failed, w=218\",\"Add (0,4)=93 Failed, w=218\",\"Add (3,6)=96 Failed, w=218\",\"Add (1,6)=97 Failed, w=218\"],\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,88],[0,4,93],[0,5,42],[0,6,43],[1,2,20],[1,4,61],[1,5,24],[1,6,97],[2,3,76],[2,6,1],[3,5,79],[3,6,96],[4,5,88],[4,6,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=1,(1,2)=20,(1,5)=24,(0,5)=42,(0,6)=43,(4,6)=55,(1,4)=61,(2,3)=76,(3,5)=79,(0,3)=88,(4,5)=88,(0,4)=93,(3,6)=96,(1,6)=97]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=1 Succeeded, w=1\",\"Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=21\",\"Find(1)=2, Find(5)=5, Add (1,5)=24 Succeeded, w=45\",\"Find(0)=0, Find(5)=2, Add (0,5)=42 Succeeded, w=87\",\"Find(0)=2, Find(6)=2, Add (0,6)=43 Failed, w=87\",\"Find(4)=4, Find(6)=2, Add (4,6)=55 Succeeded, w=142\",\"Find(1)=2, Find(4)=2, Add (1,4)=61 Failed, w=142\",\"Find(2)=2, Find(3)=3, Add (2,3)=76 Succeeded, w=218\",\"Find(3)=2, Find(5)=2, Add (3,5)=79 Failed, w=218\",\"Find(0)=2, Find(3)=2, Add (0,3)=88 Failed, w=218\",\"Find(4)=2, Find(5)=2, Add (4,5)=88 Failed, w=218\",\"Find(0)=2, Find(4)=2, Add (0,4)=93 Failed, w=218\",\"Find(3)=2, Find(6)=2, Add (3,6)=96 Failed, w=218\",\"Find(1)=2, Find(6)=2, Add (1,6)=97 Failed, w=218\"],\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,88],[0,4,93],[0,5,42],[0,6,43],[1,2,20],[1,4,61],[1,5,24],[1,6,97],[2,3,76],[2,6,1],[3,5,79],[3,6,96],[4,5,88],[4,6,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=1,(1,2)=20,(1,5)=24,(0,5)=42,(0,6)=43,(4,6)=55,(1,4)=61,(2,3)=76,(3,5)=79,(0,3)=88,(4,5)=88,(0,4)=93,(3,6)=96,(1,6)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=21\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2}, Find(1)=2, Find(5)=5, Add (1,5)=24 Succeeded, w=45\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2}, Find(0)=0, Find(5)=2, Add (0,5)=42 Succeeded, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=43 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(4)=4, Find(6)=2, Add (4,6)=55 Succeeded, w=142\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=61 Failed, w=142\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=3, Add (2,3)=76 Succeeded, w=218\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=79 Failed, w=218\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=88 Failed, w=218\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=88 Failed, w=218\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=93 Failed, w=218\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=96 Failed, w=218\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=97 Failed, w=218\"],\"Answer\":218}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,53],[0,2,90],[0,4,96],[0,5,21],[0,6,47],[1,2,41],[1,3,54],[1,5,25],[1,6,51],[2,3,89],[3,4,94],[3,6,67],[4,6,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,90],[0,4,96],[0,5,21],[0,6,47],[1,2,41],[1,3,54],[1,5,25],[1,6,51],[2,3,89],[3,4,94],[3,6,67],[4,6,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":243}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,90],[0,4,96],[0,5,21],[0,6,47],[1,2,41],[1,3,54],[1,5,25],[1,6,51],[2,3,89],[3,4,94],[3,6,67],[4,6,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,5)\",\"Add (1,2)\",\"Add (0,6)\",\"Add (1,3)\",\"Add (4,6)\"],\"Answer\":243}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,90],[0,4,96],[0,5,21],[0,6,47],[1,2,41],[1,3,54],[1,5,25],[1,6,51],[2,3,89],[3,4,94],[3,6,67],[4,6,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=21, w=21\",\"Add (1,5)=25, w=46\",\"Add (1,2)=41, w=87\",\"Add (0,6)=47, w=134\",\"Add (1,3)=54, w=188\",\"Add (4,6)=55, w=243\"],\"Answer\":243}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,90],[0,4,96],[0,5,21],[0,6,47],[1,2,41],[1,3,54],[1,5,25],[1,6,51],[2,3,89],[3,4,94],[3,6,67],[4,6,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=21 Succeeded, w=21\",\"Add (1,5)=25 Succeeded, w=46\",\"Add (1,2)=41 Succeeded, w=87\",\"Add (0,6)=47 Succeeded, w=134\",\"Add (1,6)=51 Failed, w=134\",\"Add (0,1)=53 Failed, w=134\",\"Add (1,3)=54 Succeeded, w=188\",\"Add (4,6)=55 Succeeded, w=243\",\"Add (3,6)=67 Failed, w=243\",\"Add (2,3)=89 Failed, w=243\",\"Add (0,2)=90 Failed, w=243\",\"Add (3,4)=94 Failed, w=243\",\"Add (0,4)=96 Failed, w=243\"],\"Answer\":243}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,90],[0,4,96],[0,5,21],[0,6,47],[1,2,41],[1,3,54],[1,5,25],[1,6,51],[2,3,89],[3,4,94],[3,6,67],[4,6,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=21,(1,5)=25,(1,2)=41,(0,6)=47,(1,6)=51,(0,1)=53,(1,3)=54,(4,6)=55,(3,6)=67,(2,3)=89,(0,2)=90,(3,4)=94,(0,4)=96]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=21 Succeeded, w=21\",\"Find(1)=1, Find(5)=0, Add (1,5)=25 Succeeded, w=46\",\"Find(1)=0, Find(2)=2, Add (1,2)=41 Succeeded, w=87\",\"Find(0)=0, Find(6)=6, Add (0,6)=47 Succeeded, w=134\",\"Find(1)=0, Find(6)=0, Add (1,6)=51 Failed, w=134\",\"Find(0)=0, Find(1)=0, Add (0,1)=53 Failed, w=134\",\"Find(1)=0, Find(3)=3, Add (1,3)=54 Succeeded, w=188\",\"Find(4)=4, Find(6)=0, Add (4,6)=55 Succeeded, w=243\",\"Find(3)=0, Find(6)=0, Add (3,6)=67 Failed, w=243\",\"Find(2)=0, Find(3)=0, Add (2,3)=89 Failed, w=243\",\"Find(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=243\",\"Find(3)=0, Find(4)=0, Add (3,4)=94 Failed, w=243\",\"Find(0)=0, Find(4)=0, Add (0,4)=96 Failed, w=243\"],\"Answer\":243}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,90],[0,4,96],[0,5,21],[0,6,47],[1,2,41],[1,3,54],[1,5,25],[1,6,51],[2,3,89],[3,4,94],[3,6,67],[4,6,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=21,(1,5)=25,(1,2)=41,(0,6)=47,(1,6)=51,(0,1)=53,(1,3)=54,(4,6)=55,(3,6)=67,(2,3)=89,(0,2)=90,(3,4)=94,(0,4)=96]\",\"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)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(1)=1, Find(5)=0, Add (1,5)=25 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6}, Find(1)=0, Find(2)=2, Add (1,2)=41 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=47 Succeeded, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=51 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=53 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(1)=0, Find(3)=3, Add (1,3)=54 Succeeded, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=55 Succeeded, w=243\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=67 Failed, w=243\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=89 Failed, w=243\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=243\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=94 Failed, w=243\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=96 Failed, w=243\"],\"Answer\":243}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,31],[0,3,83],[1,3,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,31],[0,3,83],[1,3,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,31],[0,3,83],[1,3,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,31],[0,3,83],[1,3,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=31, w=31\",\"Add (1,3)=49, w=80\",\"Add (0,3)=83, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,31],[0,3,83],[1,3,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=31 Succeeded, w=31\",\"Add (1,3)=49 Succeeded, w=80\",\"Add (0,3)=83 Succeeded, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,31],[0,3,83],[1,3,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=31,(1,3)=49,(0,3)=83]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=31 Succeeded, w=31\",\"Find(1)=1, Find(3)=3, Add (1,3)=49 Succeeded, w=80\",\"Find(0)=0, Find(3)=1, Add (0,3)=83 Succeeded, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,31],[0,3,83],[1,3,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=31,(1,3)=49,(0,3)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=31 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=49 Succeeded, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=83 Succeeded, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,51],[0,3,57],[0,4,5],[1,3,95],[1,4,45],[2,3,58],[2,4,67],[3,4,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,51],[0,3,57],[0,4,5],[1,3,95],[1,4,45],[2,3,58],[2,4,67],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,51],[0,3,57],[0,4,5],[1,3,95],[1,4,45],[2,3,58],[2,4,67],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (3,4)\",\"Add (1,4)\",\"Add (0,2)\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,51],[0,3,57],[0,4,5],[1,3,95],[1,4,45],[2,3,58],[2,4,67],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=5, w=5\",\"Add (3,4)=19, w=24\",\"Add (1,4)=45, w=69\",\"Add (0,2)=51, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,51],[0,3,57],[0,4,5],[1,3,95],[1,4,45],[2,3,58],[2,4,67],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=5 Succeeded, w=5\",\"Add (3,4)=19 Succeeded, w=24\",\"Add (1,4)=45 Succeeded, w=69\",\"Add (0,2)=51 Succeeded, w=120\",\"Add (0,3)=57 Failed, w=120\",\"Add (2,3)=58 Failed, w=120\",\"Add (2,4)=67 Failed, w=120\",\"Add (1,3)=95 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,51],[0,3,57],[0,4,5],[1,3,95],[1,4,45],[2,3,58],[2,4,67],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=5,(3,4)=19,(1,4)=45,(0,2)=51,(0,3)=57,(2,3)=58,(2,4)=67,(1,3)=95]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Find(3)=3, Find(4)=0, Add (3,4)=19 Succeeded, w=24\",\"Find(1)=1, Find(4)=0, Add (1,4)=45 Succeeded, w=69\",\"Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=120\",\"Find(0)=0, Find(3)=0, Add (0,3)=57 Failed, w=120\",\"Find(2)=0, Find(3)=0, Add (2,3)=58 Failed, w=120\",\"Find(2)=0, Find(4)=0, Add (2,4)=67 Failed, w=120\",\"Find(1)=0, Find(3)=0, Add (1,3)=95 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,51],[0,3,57],[0,4,5],[1,3,95],[1,4,45],[2,3,58],[2,4,67],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=5,(3,4)=19,(1,4)=45,(0,2)=51,(0,3)=57,(2,3)=58,(2,4)=67,(1,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=19 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=45 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=57 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=58 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=67 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=95 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,15],[2,3,87],[3,4,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[2,3,87],[3,4,59]]}",
"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\":[[0,1,15],[2,3,87],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,4)\",\"Add (2,3)\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[2,3,87],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=15, w=15\",\"Add (3,4)=59, w=74\",\"Add (2,3)=87, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[2,3,87],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=15 Succeeded, w=15\",\"Add (3,4)=59 Succeeded, w=74\",\"Add (2,3)=87 Succeeded, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[2,3,87],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=15,(3,4)=59,(2,3)=87]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=15\",\"Find(3)=3, Find(4)=4, Add (3,4)=59 Succeeded, w=74\",\"Find(2)=2, Find(3)=3, Add (2,3)=87 Succeeded, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[2,3,87],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=15,(3,4)=59,(2,3)=87]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=59 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(3)=3, Add (2,3)=87 Succeeded, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,43],[0,2,63],[0,3,36],[1,2,0],[1,4,82],[2,3,87],[3,4,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,43],[0,2,63],[0,3,36],[1,2,0],[1,4,82],[2,3,87],[3,4,51]]}",
"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\":[[0,1,43],[0,2,63],[0,3,36],[1,2,0],[1,4,82],[2,3,87],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (0,1)\",\"Add (3,4)\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,43],[0,2,63],[0,3,36],[1,2,0],[1,4,82],[2,3,87],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (0,3)=36, w=36\",\"Add (0,1)=43, w=79\",\"Add (3,4)=51, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,43],[0,2,63],[0,3,36],[1,2,0],[1,4,82],[2,3,87],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (0,3)=36 Succeeded, w=36\",\"Add (0,1)=43 Succeeded, w=79\",\"Add (3,4)=51 Succeeded, w=130\",\"Add (0,2)=63 Failed, w=130\",\"Add (1,4)=82 Failed, w=130\",\"Add (2,3)=87 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\":[[0,1,43],[0,2,63],[0,3,36],[1,2,0],[1,4,82],[2,3,87],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(0,3)=36,(0,1)=43,(3,4)=51,(0,2)=63,(1,4)=82,(2,3)=87]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=36\",\"Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=79\",\"Find(3)=0, Find(4)=4, Add (3,4)=51 Succeeded, w=130\",\"Find(0)=0, Find(2)=0, Add (0,2)=63 Failed, w=130\",\"Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=130\",\"Find(2)=0, Find(3)=0, Add (2,3)=87 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\":[[0,1,43],[0,2,63],[0,3,36],[1,2,0],[1,4,82],[2,3,87],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(0,3)=36,(0,1)=43,(3,4)=51,(0,2)=63,(1,4)=82,(2,3)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=51 Succeeded, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=63 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=87 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,92],[0,4,58],[1,2,26],[2,3,74],[2,4,37],[2,5,76],[3,4,17]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,92],[0,4,58],[1,2,26],[2,3,74],[2,4,37],[2,5,76],[3,4,17]]}",
"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],\"edges\":[[0,2,92],[0,4,58],[1,2,26],[2,3,74],[2,4,37],[2,5,76],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,2)\",\"Add (2,4)\",\"Add (0,4)\",\"Add (2,5)\"],\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,92],[0,4,58],[1,2,26],[2,3,74],[2,4,37],[2,5,76],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=17, w=17\",\"Add (1,2)=26, w=43\",\"Add (2,4)=37, w=80\",\"Add (0,4)=58, w=138\",\"Add (2,5)=76, w=214\"],\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,92],[0,4,58],[1,2,26],[2,3,74],[2,4,37],[2,5,76],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=17 Succeeded, w=17\",\"Add (1,2)=26 Succeeded, w=43\",\"Add (2,4)=37 Succeeded, w=80\",\"Add (0,4)=58 Succeeded, w=138\",\"Add (2,3)=74 Failed, w=138\",\"Add (2,5)=76 Succeeded, w=214\",\"Add (0,2)=92 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],\"edges\":[[0,2,92],[0,4,58],[1,2,26],[2,3,74],[2,4,37],[2,5,76],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=17,(1,2)=26,(2,4)=37,(0,4)=58,(2,3)=74,(2,5)=76,(0,2)=92]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=17 Succeeded, w=17\",\"Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=43\",\"Find(2)=1, Find(4)=3, Add (2,4)=37 Succeeded, w=80\",\"Find(0)=0, Find(4)=1, Add (0,4)=58 Succeeded, w=138\",\"Find(2)=1, Find(3)=1, Add (2,3)=74 Failed, w=138\",\"Find(2)=1, Find(5)=5, Add (2,5)=76 Succeeded, w=214\",\"Find(0)=1, Find(2)=1, Add (0,2)=92 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],\"edges\":[[0,2,92],[0,4,58],[1,2,26],[2,3,74],[2,4,37],[2,5,76],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=17,(1,2)=26,(2,4)=37,(0,4)=58,(2,3)=74,(2,5)=76,(0,2)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3, 5: 5}, Find(2)=1, Find(4)=3, Add (2,4)=37 Succeeded, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(0)=0, Find(4)=1, Add (0,4)=58 Succeeded, w=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(2)=1, Find(3)=1, Add (2,3)=74 Failed, w=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=5, Add (2,5)=76 Succeeded, w=214\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=92 Failed, w=214\"],\"Answer\":214}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,45],[0,2,41],[0,3,4],[1,2,98],[1,3,52],[1,4,77],[2,3,13],[2,4,15],[3,4,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,45],[0,2,41],[0,3,4],[1,2,98],[1,3,52],[1,4,77],[2,3,13],[2,4,15],[3,4,12]]}",
"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\":[[0,1,45],[0,2,41],[0,3,4],[1,2,98],[1,3,52],[1,4,77],[2,3,13],[2,4,15],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (3,4)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,45],[0,2,41],[0,3,4],[1,2,98],[1,3,52],[1,4,77],[2,3,13],[2,4,15],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4, w=4\",\"Add (3,4)=12, w=16\",\"Add (2,3)=13, w=29\",\"Add (0,1)=45, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,45],[0,2,41],[0,3,4],[1,2,98],[1,3,52],[1,4,77],[2,3,13],[2,4,15],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4 Succeeded, w=4\",\"Add (3,4)=12 Succeeded, w=16\",\"Add (2,3)=13 Succeeded, w=29\",\"Add (2,4)=15 Failed, w=29\",\"Add (0,2)=41 Failed, w=29\",\"Add (0,1)=45 Succeeded, w=74\",\"Add (1,3)=52 Failed, w=74\",\"Add (1,4)=77 Failed, w=74\",\"Add (1,2)=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],\"edges\":[[0,1,45],[0,2,41],[0,3,4],[1,2,98],[1,3,52],[1,4,77],[2,3,13],[2,4,15],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(3,4)=12,(2,3)=13,(2,4)=15,(0,2)=41,(0,1)=45,(1,3)=52,(1,4)=77,(1,2)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Find(3)=0, Find(4)=4, Add (3,4)=12 Succeeded, w=16\",\"Find(2)=2, Find(3)=0, Add (2,3)=13 Succeeded, w=29\",\"Find(2)=0, Find(4)=0, Add (2,4)=15 Failed, w=29\",\"Find(0)=0, Find(2)=0, Add (0,2)=41 Failed, w=29\",\"Find(0)=0, Find(1)=1, Add (0,1)=45 Succeeded, w=74\",\"Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=74\",\"Find(1)=0, Find(4)=0, Add (1,4)=77 Failed, w=74\",\"Find(1)=0, Find(2)=0, Add (1,2)=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],\"edges\":[[0,1,45],[0,2,41],[0,3,4],[1,2,98],[1,3,52],[1,4,77],[2,3,13],[2,4,15],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(3,4)=12,(2,3)=13,(2,4)=15,(0,2)=41,(0,1)=45,(1,3)=52,(1,4)=77,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=12 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(3)=0, Add (2,3)=13 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=15 Failed, w=29\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=41 Failed, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=45 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=77 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,38],[0,3,70],[0,4,89],[0,5,1],[0,6,62],[1,2,75],[1,3,27],[1,4,8],[1,5,7],[1,6,21],[2,3,18],[2,4,3],[2,5,1],[2,6,6],[3,4,88],[3,5,68],[3,6,100],[4,5,20],[4,6,30],[5,6,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,38],[0,3,70],[0,4,89],[0,5,1],[0,6,62],[1,2,75],[1,3,27],[1,4,8],[1,5,7],[1,6,21],[2,3,18],[2,4,3],[2,5,1],[2,6,6],[3,4,88],[3,5,68],[3,6,100],[4,5,20],[4,6,30],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":36}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,38],[0,3,70],[0,4,89],[0,5,1],[0,6,62],[1,2,75],[1,3,27],[1,4,8],[1,5,7],[1,6,21],[2,3,18],[2,4,3],[2,5,1],[2,6,6],[3,4,88],[3,5,68],[3,6,100],[4,5,20],[4,6,30],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (2,5)\",\"Add (2,4)\",\"Add (2,6)\",\"Add (1,5)\",\"Add (2,3)\"],\"Answer\":36}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,38],[0,3,70],[0,4,89],[0,5,1],[0,6,62],[1,2,75],[1,3,27],[1,4,8],[1,5,7],[1,6,21],[2,3,18],[2,4,3],[2,5,1],[2,6,6],[3,4,88],[3,5,68],[3,6,100],[4,5,20],[4,6,30],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=1, w=1\",\"Add (2,5)=1, w=2\",\"Add (2,4)=3, w=5\",\"Add (2,6)=6, w=11\",\"Add (1,5)=7, w=18\",\"Add (2,3)=18, w=36\"],\"Answer\":36}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,38],[0,3,70],[0,4,89],[0,5,1],[0,6,62],[1,2,75],[1,3,27],[1,4,8],[1,5,7],[1,6,21],[2,3,18],[2,4,3],[2,5,1],[2,6,6],[3,4,88],[3,5,68],[3,6,100],[4,5,20],[4,6,30],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=1 Succeeded, w=1\",\"Add (2,5)=1 Succeeded, w=2\",\"Add (2,4)=3 Succeeded, w=5\",\"Add (2,6)=6 Succeeded, w=11\",\"Add (1,5)=7 Succeeded, w=18\",\"Add (1,4)=8 Failed, w=18\",\"Add (2,3)=18 Succeeded, w=36\",\"Add (4,5)=20 Failed, w=36\",\"Add (1,6)=21 Failed, w=36\",\"Add (1,3)=27 Failed, w=36\",\"Add (4,6)=30 Failed, w=36\",\"Add (0,2)=38 Failed, w=36\",\"Add (0,6)=62 Failed, w=36\",\"Add (3,5)=68 Failed, w=36\",\"Add (0,3)=70 Failed, w=36\",\"Add (1,2)=75 Failed, w=36\",\"Add (5,6)=85 Failed, w=36\",\"Add (3,4)=88 Failed, w=36\",\"Add (0,4)=89 Failed, w=36\",\"Add (3,6)=100 Failed, w=36\"],\"Answer\":36}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,38],[0,3,70],[0,4,89],[0,5,1],[0,6,62],[1,2,75],[1,3,27],[1,4,8],[1,5,7],[1,6,21],[2,3,18],[2,4,3],[2,5,1],[2,6,6],[3,4,88],[3,5,68],[3,6,100],[4,5,20],[4,6,30],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=1,(2,5)=1,(2,4)=3,(2,6)=6,(1,5)=7,(1,4)=8,(2,3)=18,(4,5)=20,(1,6)=21,(1,3)=27,(4,6)=30,(0,2)=38,(0,6)=62,(3,5)=68,(0,3)=70,(1,2)=75,(5,6)=85,(3,4)=88,(0,4)=89,(3,6)=100]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=1 Succeeded, w=1\",\"Find(2)=2, Find(5)=0, Add (2,5)=1 Succeeded, w=2\",\"Find(2)=0, Find(4)=4, Add (2,4)=3 Succeeded, w=5\",\"Find(2)=0, Find(6)=6, Add (2,6)=6 Succeeded, w=11\",\"Find(1)=1, Find(5)=0, Add (1,5)=7 Succeeded, w=18\",\"Find(1)=0, Find(4)=0, Add (1,4)=8 Failed, w=18\",\"Find(2)=0, Find(3)=3, Add (2,3)=18 Succeeded, w=36\",\"Find(4)=0, Find(5)=0, Add (4,5)=20 Failed, w=36\",\"Find(1)=0, Find(6)=0, Add (1,6)=21 Failed, w=36\",\"Find(1)=0, Find(3)=0, Add (1,3)=27 Failed, w=36\",\"Find(4)=0, Find(6)=0, Add (4,6)=30 Failed, w=36\",\"Find(0)=0, Find(2)=0, Add (0,2)=38 Failed, w=36\",\"Find(0)=0, Find(6)=0, Add (0,6)=62 Failed, w=36\",\"Find(3)=0, Find(5)=0, Add (3,5)=68 Failed, w=36\",\"Find(0)=0, Find(3)=0, Add (0,3)=70 Failed, w=36\",\"Find(1)=0, Find(2)=0, Add (1,2)=75 Failed, w=36\",\"Find(5)=0, Find(6)=0, Add (5,6)=85 Failed, w=36\",\"Find(3)=0, Find(4)=0, Add (3,4)=88 Failed, w=36\",\"Find(0)=0, Find(4)=0, Add (0,4)=89 Failed, w=36\",\"Find(3)=0, Find(6)=0, Add (3,6)=100 Failed, w=36\"],\"Answer\":36}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,38],[0,3,70],[0,4,89],[0,5,1],[0,6,62],[1,2,75],[1,3,27],[1,4,8],[1,5,7],[1,6,21],[2,3,18],[2,4,3],[2,5,1],[2,6,6],[3,4,88],[3,5,68],[3,6,100],[4,5,20],[4,6,30],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=1,(2,5)=1,(2,4)=3,(2,6)=6,(1,5)=7,(1,4)=8,(2,3)=18,(4,5)=20,(1,6)=21,(1,3)=27,(4,6)=30,(0,2)=38,(0,6)=62,(3,5)=68,(0,3)=70,(1,2)=75,(5,6)=85,(3,4)=88,(0,4)=89,(3,6)=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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6}, Find(2)=2, Find(5)=0, Add (2,5)=1 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6}, Find(2)=0, Find(4)=4, Add (2,4)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=6, Add (2,6)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(1)=1, Find(5)=0, Add (1,5)=7 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=8 Failed, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=3, Add (2,3)=18 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=20 Failed, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=21 Failed, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=27 Failed, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=30 Failed, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=38 Failed, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=62 Failed, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=68 Failed, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=70 Failed, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=75 Failed, w=36\",\"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=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=88 Failed, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=89 Failed, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=100 Failed, w=36\"],\"Answer\":36}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,1],[0,2,7],[1,2,45],[1,4,0],[2,3,12],[2,4,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,1],[0,2,7],[1,2,45],[1,4,0],[2,3,12],[2,4,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":20}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,1],[0,2,7],[1,2,45],[1,4,0],[2,3,12],[2,4,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,1)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":20}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,1],[0,2,7],[1,2,45],[1,4,0],[2,3,12],[2,4,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (0,1)=1, w=1\",\"Add (0,2)=7, w=8\",\"Add (2,3)=12, w=20\"],\"Answer\":20}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,1],[0,2,7],[1,2,45],[1,4,0],[2,3,12],[2,4,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (0,1)=1 Succeeded, w=1\",\"Add (0,2)=7 Succeeded, w=8\",\"Add (2,3)=12 Succeeded, w=20\",\"Add (1,2)=45 Failed, w=20\",\"Add (2,4)=70 Failed, w=20\"],\"Answer\":20}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,1],[0,2,7],[1,2,45],[1,4,0],[2,3,12],[2,4,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(0,1)=1,(0,2)=7,(2,3)=12,(1,2)=45,(2,4)=70]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Find(0)=1, Find(2)=2, Add (0,2)=7 Succeeded, w=8\",\"Find(2)=1, Find(3)=3, Add (2,3)=12 Succeeded, w=20\",\"Find(1)=1, Find(2)=1, Add (1,2)=45 Failed, w=20\",\"Find(2)=1, Find(4)=1, Add (2,4)=70 Failed, w=20\"],\"Answer\":20}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,1],[0,2,7],[1,2,45],[1,4,0],[2,3,12],[2,4,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(0,1)=1,(0,2)=7,(2,3)=12,(1,2)=45,(2,4)=70]\",\"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(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=1, Find(2)=2, Add (0,2)=7 Succeeded, w=8\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=3, Add (2,3)=12 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=45 Failed, w=20\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=70 Failed, w=20\"],\"Answer\":20}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,6],[0,3,83],[1,2,12],[2,3,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,6],[0,3,83],[1,2,12],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,6],[0,3,83],[1,2,12],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,6],[0,3,83],[1,2,12],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=6, w=6\",\"Add (1,2)=12, w=18\",\"Add (0,3)=83, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,6],[0,3,83],[1,2,12],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=6 Succeeded, w=6\",\"Add (1,2)=12 Succeeded, w=18\",\"Add (0,3)=83 Succeeded, w=101\",\"Add (2,3)=94 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,6],[0,3,83],[1,2,12],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=6,(1,2)=12,(0,3)=83,(2,3)=94]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Find(1)=1, Find(2)=0, Add (1,2)=12 Succeeded, w=18\",\"Find(0)=0, Find(3)=3, Add (0,3)=83 Succeeded, w=101\",\"Find(2)=0, Find(3)=0, Add (2,3)=94 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,6],[0,3,83],[1,2,12],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=6,(1,2)=12,(0,3)=83,(2,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=1, Find(2)=0, Add (1,2)=12 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=83 Succeeded, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=94 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,95],[0,2,88],[0,3,96],[0,4,61],[0,7,49],[1,4,32],[1,5,86],[1,7,24],[2,3,15],[2,4,13],[2,5,95],[2,7,19],[3,4,28],[3,6,71],[3,7,3],[4,6,42],[4,7,59],[5,7,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,88],[0,3,96],[0,4,61],[0,7,49],[1,4,32],[1,5,86],[1,7,24],[2,3,15],[2,4,13],[2,5,95],[2,7,19],[3,4,28],[3,6,71],[3,7,3],[4,6,42],[4,7,59],[5,7,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,88],[0,3,96],[0,4,61],[0,7,49],[1,4,32],[1,5,86],[1,7,24],[2,3,15],[2,4,13],[2,5,95],[2,7,19],[3,4,28],[3,6,71],[3,7,3],[4,6,42],[4,7,59],[5,7,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (2,4)\",\"Add (2,3)\",\"Add (1,7)\",\"Add (4,6)\",\"Add (5,7)\",\"Add (0,7)\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,88],[0,3,96],[0,4,61],[0,7,49],[1,4,32],[1,5,86],[1,7,24],[2,3,15],[2,4,13],[2,5,95],[2,7,19],[3,4,28],[3,6,71],[3,7,3],[4,6,42],[4,7,59],[5,7,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=3, w=3\",\"Add (2,4)=13, w=16\",\"Add (2,3)=15, w=31\",\"Add (1,7)=24, w=55\",\"Add (4,6)=42, w=97\",\"Add (5,7)=45, w=142\",\"Add (0,7)=49, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,88],[0,3,96],[0,4,61],[0,7,49],[1,4,32],[1,5,86],[1,7,24],[2,3,15],[2,4,13],[2,5,95],[2,7,19],[3,4,28],[3,6,71],[3,7,3],[4,6,42],[4,7,59],[5,7,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=3 Succeeded, w=3\",\"Add (2,4)=13 Succeeded, w=16\",\"Add (2,3)=15 Succeeded, w=31\",\"Add (2,7)=19 Failed, w=31\",\"Add (1,7)=24 Succeeded, w=55\",\"Add (3,4)=28 Failed, w=55\",\"Add (1,4)=32 Failed, w=55\",\"Add (4,6)=42 Succeeded, w=97\",\"Add (5,7)=45 Succeeded, w=142\",\"Add (0,7)=49 Succeeded, w=191\",\"Add (4,7)=59 Failed, w=191\",\"Add (0,4)=61 Failed, w=191\",\"Add (3,6)=71 Failed, w=191\",\"Add (1,5)=86 Failed, w=191\",\"Add (0,2)=88 Failed, w=191\",\"Add (0,1)=95 Failed, w=191\",\"Add (2,5)=95 Failed, w=191\",\"Add (0,3)=96 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,88],[0,3,96],[0,4,61],[0,7,49],[1,4,32],[1,5,86],[1,7,24],[2,3,15],[2,4,13],[2,5,95],[2,7,19],[3,4,28],[3,6,71],[3,7,3],[4,6,42],[4,7,59],[5,7,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=3,(2,4)=13,(2,3)=15,(2,7)=19,(1,7)=24,(3,4)=28,(1,4)=32,(4,6)=42,(5,7)=45,(0,7)=49,(4,7)=59,(0,4)=61,(3,6)=71,(1,5)=86,(0,2)=88,(0,1)=95,(2,5)=95,(0,3)=96]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=3 Succeeded, w=3\",\"Find(2)=2, Find(4)=4, Add (2,4)=13 Succeeded, w=16\",\"Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=31\",\"Find(2)=2, Find(7)=2, Add (2,7)=19 Failed, w=31\",\"Find(1)=1, Find(7)=2, Add (1,7)=24 Succeeded, w=55\",\"Find(3)=2, Find(4)=2, Add (3,4)=28 Failed, w=55\",\"Find(1)=2, Find(4)=2, Add (1,4)=32 Failed, w=55\",\"Find(4)=2, Find(6)=6, Add (4,6)=42 Succeeded, w=97\",\"Find(5)=5, Find(7)=2, Add (5,7)=45 Succeeded, w=142\",\"Find(0)=0, Find(7)=2, Add (0,7)=49 Succeeded, w=191\",\"Find(4)=2, Find(7)=2, Add (4,7)=59 Failed, w=191\",\"Find(0)=2, Find(4)=2, Add (0,4)=61 Failed, w=191\",\"Find(3)=2, Find(6)=2, Add (3,6)=71 Failed, w=191\",\"Find(1)=2, Find(5)=2, Add (1,5)=86 Failed, w=191\",\"Find(0)=2, Find(2)=2, Add (0,2)=88 Failed, w=191\",\"Find(0)=2, Find(1)=2, Add (0,1)=95 Failed, w=191\",\"Find(2)=2, Find(5)=2, Add (2,5)=95 Failed, w=191\",\"Find(0)=2, Find(3)=2, Add (0,3)=96 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,88],[0,3,96],[0,4,61],[0,7,49],[1,4,32],[1,5,86],[1,7,24],[2,3,15],[2,4,13],[2,5,95],[2,7,19],[3,4,28],[3,6,71],[3,7,3],[4,6,42],[4,7,59],[5,7,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=3,(2,4)=13,(2,3)=15,(2,7)=19,(1,7)=24,(3,4)=28,(1,4)=32,(4,6)=42,(5,7)=45,(0,7)=49,(4,7)=59,(0,4)=61,(3,6)=71,(1,5)=86,(0,2)=88,(0,1)=95,(2,5)=95,(0,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 3}, Find(2)=2, Find(4)=4, Add (2,4)=13 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6, 7: 3}, Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=19 Failed, w=31\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6, 7: 2}, Find(1)=1, Find(7)=2, Add (1,7)=24 Succeeded, w=55\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=28 Failed, w=55\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=32 Failed, w=55\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2, 7: 2}, Find(4)=2, Find(6)=6, Add (4,6)=42 Succeeded, w=97\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=5, Find(7)=2, Add (5,7)=45 Succeeded, w=142\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=0, Find(7)=2, Add (0,7)=49 Succeeded, w=191\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=59 Failed, w=191\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=61 Failed, w=191\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=71 Failed, w=191\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(5)=2, Add (1,5)=86 Failed, w=191\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=88 Failed, w=191\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=95 Failed, w=191\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=95 Failed, w=191\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=96 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,40],[0,2,77],[0,3,18],[1,2,68],[1,4,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,77],[0,3,18],[1,2,68],[1,4,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":213}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,77],[0,3,18],[1,2,68],[1,4,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (1,4)\"],\"Answer\":213}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,77],[0,3,18],[1,2,68],[1,4,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=18, w=18\",\"Add (0,1)=40, w=58\",\"Add (1,2)=68, w=126\",\"Add (1,4)=87, w=213\"],\"Answer\":213}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,77],[0,3,18],[1,2,68],[1,4,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=18 Succeeded, w=18\",\"Add (0,1)=40 Succeeded, w=58\",\"Add (1,2)=68 Succeeded, w=126\",\"Add (0,2)=77 Failed, w=126\",\"Add (1,4)=87 Succeeded, w=213\"],\"Answer\":213}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,77],[0,3,18],[1,2,68],[1,4,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=18,(0,1)=40,(1,2)=68,(0,2)=77,(1,4)=87]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=18\",\"Find(0)=0, Find(1)=1, Add (0,1)=40 Succeeded, w=58\",\"Find(1)=0, Find(2)=2, Add (1,2)=68 Succeeded, w=126\",\"Find(0)=0, Find(2)=0, Add (0,2)=77 Failed, w=126\",\"Find(1)=0, Find(4)=4, Add (1,4)=87 Succeeded, w=213\"],\"Answer\":213}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,77],[0,3,18],[1,2,68],[1,4,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=18,(0,1)=40,(1,2)=68,(0,2)=77,(1,4)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=40 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(2)=2, Add (1,2)=68 Succeeded, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(2)=0, Add (0,2)=77 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=87 Succeeded, w=213\"],\"Answer\":213}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,68],[0,2,68],[1,2,49],[1,3,22],[2,3,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,68],[1,2,49],[1,3,22],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,68],[1,2,49],[1,3,22],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,68],[1,2,49],[1,3,22],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=22, w=22\",\"Add (2,3)=45, w=67\",\"Add (0,1)=68, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,68],[1,2,49],[1,3,22],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=22 Succeeded, w=22\",\"Add (2,3)=45 Succeeded, w=67\",\"Add (1,2)=49 Failed, w=67\",\"Add (0,1)=68 Succeeded, w=135\",\"Add (0,2)=68 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,68],[1,2,49],[1,3,22],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=22,(2,3)=45,(1,2)=49,(0,1)=68,(0,2)=68]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=22 Succeeded, w=22\",\"Find(2)=2, Find(3)=1, Add (2,3)=45 Succeeded, w=67\",\"Find(1)=1, Find(2)=1, Add (1,2)=49 Failed, w=67\",\"Find(0)=0, Find(1)=1, Add (0,1)=68 Succeeded, w=135\",\"Find(0)=1, Find(2)=1, Add (0,2)=68 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,68],[1,2,49],[1,3,22],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=22,(2,3)=45,(1,2)=49,(0,1)=68,(0,2)=68]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=45 Succeeded, w=67\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=49 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=68 Succeeded, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=68 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,41],[0,2,12],[1,2,19],[1,3,20],[2,3,100]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,12],[1,2,19],[1,3,20],[2,3,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,12],[1,2,19],[1,3,20],[2,3,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,12],[1,2,19],[1,3,20],[2,3,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=12, w=12\",\"Add (1,2)=19, w=31\",\"Add (1,3)=20, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,12],[1,2,19],[1,3,20],[2,3,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=12 Succeeded, w=12\",\"Add (1,2)=19 Succeeded, w=31\",\"Add (1,3)=20 Succeeded, w=51\",\"Add (0,1)=41 Failed, w=51\",\"Add (2,3)=100 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,12],[1,2,19],[1,3,20],[2,3,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=12,(1,2)=19,(1,3)=20,(0,1)=41,(2,3)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=12\",\"Find(1)=1, Find(2)=0, Add (1,2)=19 Succeeded, w=31\",\"Find(1)=0, Find(3)=3, Add (1,3)=20 Succeeded, w=51\",\"Find(0)=0, Find(1)=0, Add (0,1)=41 Failed, w=51\",\"Find(2)=0, Find(3)=0, Add (2,3)=100 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,12],[1,2,19],[1,3,20],[2,3,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=12,(1,2)=19,(1,3)=20,(0,1)=41,(2,3)=100]\",\"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(1)=1, Find(2)=0, Add (1,2)=19 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=20 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=41 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=100 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,75],[0,2,13],[0,3,10],[1,2,71],[1,3,89],[2,3,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,75],[0,2,13],[0,3,10],[1,2,71],[1,3,89],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,75],[0,2,13],[0,3,10],[1,2,71],[1,3,89],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,75],[0,2,13],[0,3,10],[1,2,71],[1,3,89],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10, w=10\",\"Add (0,2)=13, w=23\",\"Add (1,2)=71, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,75],[0,2,13],[0,3,10],[1,2,71],[1,3,89],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10 Succeeded, w=10\",\"Add (0,2)=13 Succeeded, w=23\",\"Add (1,2)=71 Succeeded, w=94\",\"Add (0,1)=75 Failed, w=94\",\"Add (1,3)=89 Failed, w=94\",\"Add (2,3)=94 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,75],[0,2,13],[0,3,10],[1,2,71],[1,3,89],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(0,2)=13,(1,2)=71,(0,1)=75,(1,3)=89,(2,3)=94]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=23\",\"Find(1)=1, Find(2)=0, Add (1,2)=71 Succeeded, w=94\",\"Find(0)=0, Find(1)=0, Add (0,1)=75 Failed, w=94\",\"Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=94\",\"Find(2)=0, Find(3)=0, Add (2,3)=94 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,75],[0,2,13],[0,3,10],[1,2,71],[1,3,89],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(0,2)=13,(1,2)=71,(0,1)=75,(1,3)=89,(2,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=71 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=75 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=94 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,89],[0,3,7],[0,4,29],[0,5,93],[1,3,14],[1,4,36],[1,5,45],[2,3,22],[2,4,38],[2,5,6],[3,5,24]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,3,7],[0,4,29],[0,5,93],[1,3,14],[1,4,36],[1,5,45],[2,3,22],[2,4,38],[2,5,6],[3,5,24]]}",
"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],\"edges\":[[0,1,89],[0,3,7],[0,4,29],[0,5,93],[1,3,14],[1,4,36],[1,5,45],[2,3,22],[2,4,38],[2,5,6],[3,5,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,3)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (0,4)\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,3,7],[0,4,29],[0,5,93],[1,3,14],[1,4,36],[1,5,45],[2,3,22],[2,4,38],[2,5,6],[3,5,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=6, w=6\",\"Add (0,3)=7, w=13\",\"Add (1,3)=14, w=27\",\"Add (2,3)=22, w=49\",\"Add (0,4)=29, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,3,7],[0,4,29],[0,5,93],[1,3,14],[1,4,36],[1,5,45],[2,3,22],[2,4,38],[2,5,6],[3,5,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=6 Succeeded, w=6\",\"Add (0,3)=7 Succeeded, w=13\",\"Add (1,3)=14 Succeeded, w=27\",\"Add (2,3)=22 Succeeded, w=49\",\"Add (3,5)=24 Failed, w=49\",\"Add (0,4)=29 Succeeded, w=78\",\"Add (1,4)=36 Failed, w=78\",\"Add (2,4)=38 Failed, w=78\",\"Add (1,5)=45 Failed, w=78\",\"Add (0,1)=89 Failed, w=78\",\"Add (0,5)=93 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],\"edges\":[[0,1,89],[0,3,7],[0,4,29],[0,5,93],[1,3,14],[1,4,36],[1,5,45],[2,3,22],[2,4,38],[2,5,6],[3,5,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=6,(0,3)=7,(1,3)=14,(2,3)=22,(3,5)=24,(0,4)=29,(1,4)=36,(2,4)=38,(1,5)=45,(0,1)=89,(0,5)=93]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=6\",\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=13\",\"Find(1)=1, Find(3)=0, Add (1,3)=14 Succeeded, w=27\",\"Find(2)=2, Find(3)=0, Add (2,3)=22 Succeeded, w=49\",\"Find(3)=2, Find(5)=2, Add (3,5)=24 Failed, w=49\",\"Find(0)=2, Find(4)=4, Add (0,4)=29 Succeeded, w=78\",\"Find(1)=2, Find(4)=2, Add (1,4)=36 Failed, w=78\",\"Find(2)=2, Find(4)=2, Add (2,4)=38 Failed, w=78\",\"Find(1)=2, Find(5)=2, Add (1,5)=45 Failed, w=78\",\"Find(0)=2, Find(1)=2, Add (0,1)=89 Failed, w=78\",\"Find(0)=2, Find(5)=2, Add (0,5)=93 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],\"edges\":[[0,1,89],[0,3,7],[0,4,29],[0,5,93],[1,3,14],[1,4,36],[1,5,45],[2,3,22],[2,4,38],[2,5,6],[3,5,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=6,(0,3)=7,(1,3)=14,(2,3)=22,(3,5)=24,(0,4)=29,(1,4)=36,(2,4)=38,(1,5)=45,(0,1)=89,(0,5)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 2}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 2}, Find(1)=1, Find(3)=0, Add (1,3)=14 Succeeded, w=27\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 4, 5: 2}, Find(2)=2, Find(3)=0, Add (2,3)=22 Succeeded, w=49\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 4, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=24 Failed, w=49\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=4, Add (0,4)=29 Succeeded, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=36 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=38 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=45 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=89 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=93 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,26],[1,2,77],[1,3,74],[2,3,28]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,26],[1,2,77],[1,3,74],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,26],[1,2,77],[1,3,74],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,26],[1,2,77],[1,3,74],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=26, w=26\",\"Add (2,3)=28, w=54\",\"Add (1,3)=74, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,26],[1,2,77],[1,3,74],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=26 Succeeded, w=26\",\"Add (2,3)=28 Succeeded, w=54\",\"Add (1,3)=74 Succeeded, w=128\",\"Add (1,2)=77 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,26],[1,2,77],[1,3,74],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=26,(2,3)=28,(1,3)=74,(1,2)=77]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=26\",\"Find(2)=0, Find(3)=3, Add (2,3)=28 Succeeded, w=54\",\"Find(1)=1, Find(3)=0, Add (1,3)=74 Succeeded, w=128\",\"Find(1)=0, Find(2)=0, Add (1,2)=77 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,26],[1,2,77],[1,3,74],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=26,(2,3)=28,(1,3)=74,(1,2)=77]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=28 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=74 Succeeded, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=77 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,64],[0,2,23],[1,2,24],[1,3,60],[1,4,100]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,2,23],[1,2,24],[1,3,60],[1,4,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,2,23],[1,2,24],[1,3,60],[1,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (1,4)\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,2,23],[1,2,24],[1,3,60],[1,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=23, w=23\",\"Add (1,2)=24, w=47\",\"Add (1,3)=60, w=107\",\"Add (1,4)=100, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,2,23],[1,2,24],[1,3,60],[1,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=23 Succeeded, w=23\",\"Add (1,2)=24 Succeeded, w=47\",\"Add (1,3)=60 Succeeded, w=107\",\"Add (0,1)=64 Failed, w=107\",\"Add (1,4)=100 Succeeded, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,2,23],[1,2,24],[1,3,60],[1,4,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=23,(1,2)=24,(1,3)=60,(0,1)=64,(1,4)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=23\",\"Find(1)=1, Find(2)=0, Add (1,2)=24 Succeeded, w=47\",\"Find(1)=0, Find(3)=3, Add (1,3)=60 Succeeded, w=107\",\"Find(0)=0, Find(1)=0, Add (0,1)=64 Failed, w=107\",\"Find(1)=0, Find(4)=4, Add (1,4)=100 Succeeded, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,2,23],[1,2,24],[1,3,60],[1,4,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=23,(1,2)=24,(1,3)=60,(0,1)=64,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(1)=1, Find(2)=0, Add (1,2)=24 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(3)=3, Add (1,3)=60 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(1)=0, Add (0,1)=64 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=100 Succeeded, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,38],[0,3,33],[0,4,80],[1,2,64],[2,4,33],[3,4,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,3,33],[0,4,80],[1,2,64],[2,4,33],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,3,33],[0,4,80],[1,2,64],[2,4,33],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,4)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,3,33],[0,4,80],[1,2,64],[2,4,33],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=33, w=33\",\"Add (2,4)=33, w=66\",\"Add (0,1)=38, w=104\",\"Add (1,2)=64, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,3,33],[0,4,80],[1,2,64],[2,4,33],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=33 Succeeded, w=33\",\"Add (2,4)=33 Succeeded, w=66\",\"Add (0,1)=38 Succeeded, w=104\",\"Add (1,2)=64 Succeeded, w=168\",\"Add (3,4)=74 Failed, w=168\",\"Add (0,4)=80 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,3,33],[0,4,80],[1,2,64],[2,4,33],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=33,(2,4)=33,(0,1)=38,(1,2)=64,(3,4)=74,(0,4)=80]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=33 Succeeded, w=33\",\"Find(2)=2, Find(4)=4, Add (2,4)=33 Succeeded, w=66\",\"Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=104\",\"Find(1)=0, Find(2)=2, Add (1,2)=64 Succeeded, w=168\",\"Find(3)=0, Find(4)=0, Add (3,4)=74 Failed, w=168\",\"Find(0)=0, Find(4)=0, Add (0,4)=80 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,3,33],[0,4,80],[1,2,64],[2,4,33],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=33,(2,4)=33,(0,1)=38,(1,2)=64,(3,4)=74,(0,4)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=33 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=33 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(2)=2, Add (1,2)=64 Succeeded, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=74 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=80 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,24],[0,2,74],[0,4,4],[0,5,51],[0,6,85],[1,2,69],[1,4,75],[1,5,53],[2,3,21],[2,4,86],[2,5,33],[2,6,88],[3,4,42],[3,5,26],[3,6,58],[4,5,5],[4,6,7],[5,6,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,24],[0,2,74],[0,4,4],[0,5,51],[0,6,85],[1,2,69],[1,4,75],[1,5,53],[2,3,21],[2,4,86],[2,5,33],[2,6,88],[3,4,42],[3,5,26],[3,6,58],[4,5,5],[4,6,7],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,24],[0,2,74],[0,4,4],[0,5,51],[0,6,85],[1,2,69],[1,4,75],[1,5,53],[2,3,21],[2,4,86],[2,5,33],[2,6,88],[3,4,42],[3,5,26],[3,6,58],[4,5,5],[4,6,7],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (4,5)\",\"Add (4,6)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (3,5)\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,24],[0,2,74],[0,4,4],[0,5,51],[0,6,85],[1,2,69],[1,4,75],[1,5,53],[2,3,21],[2,4,86],[2,5,33],[2,6,88],[3,4,42],[3,5,26],[3,6,58],[4,5,5],[4,6,7],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=4, w=4\",\"Add (4,5)=5, w=9\",\"Add (4,6)=7, w=16\",\"Add (2,3)=21, w=37\",\"Add (0,1)=24, w=61\",\"Add (3,5)=26, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,24],[0,2,74],[0,4,4],[0,5,51],[0,6,85],[1,2,69],[1,4,75],[1,5,53],[2,3,21],[2,4,86],[2,5,33],[2,6,88],[3,4,42],[3,5,26],[3,6,58],[4,5,5],[4,6,7],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=4 Succeeded, w=4\",\"Add (4,5)=5 Succeeded, w=9\",\"Add (4,6)=7 Succeeded, w=16\",\"Add (2,3)=21 Succeeded, w=37\",\"Add (0,1)=24 Succeeded, w=61\",\"Add (3,5)=26 Succeeded, w=87\",\"Add (2,5)=33 Failed, w=87\",\"Add (3,4)=42 Failed, w=87\",\"Add (0,5)=51 Failed, w=87\",\"Add (1,5)=53 Failed, w=87\",\"Add (3,6)=58 Failed, w=87\",\"Add (1,2)=69 Failed, w=87\",\"Add (0,2)=74 Failed, w=87\",\"Add (1,4)=75 Failed, w=87\",\"Add (0,6)=85 Failed, w=87\",\"Add (5,6)=85 Failed, w=87\",\"Add (2,4)=86 Failed, w=87\",\"Add (2,6)=88 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,24],[0,2,74],[0,4,4],[0,5,51],[0,6,85],[1,2,69],[1,4,75],[1,5,53],[2,3,21],[2,4,86],[2,5,33],[2,6,88],[3,4,42],[3,5,26],[3,6,58],[4,5,5],[4,6,7],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=4,(4,5)=5,(4,6)=7,(2,3)=21,(0,1)=24,(3,5)=26,(2,5)=33,(3,4)=42,(0,5)=51,(1,5)=53,(3,6)=58,(1,2)=69,(0,2)=74,(1,4)=75,(0,6)=85,(5,6)=85,(2,4)=86,(2,6)=88]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=4 Succeeded, w=4\",\"Find(4)=0, Find(5)=5, Add (4,5)=5 Succeeded, w=9\",\"Find(4)=0, Find(6)=6, Add (4,6)=7 Succeeded, w=16\",\"Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=37\",\"Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=61\",\"Find(3)=2, Find(5)=0, Add (3,5)=26 Succeeded, w=87\",\"Find(2)=2, Find(5)=2, Add (2,5)=33 Failed, w=87\",\"Find(3)=2, Find(4)=2, Add (3,4)=42 Failed, w=87\",\"Find(0)=2, Find(5)=2, Add (0,5)=51 Failed, w=87\",\"Find(1)=2, Find(5)=2, Add (1,5)=53 Failed, w=87\",\"Find(3)=2, Find(6)=2, Add (3,6)=58 Failed, w=87\",\"Find(1)=2, Find(2)=2, Add (1,2)=69 Failed, w=87\",\"Find(0)=2, Find(2)=2, Add (0,2)=74 Failed, w=87\",\"Find(1)=2, Find(4)=2, Add (1,4)=75 Failed, w=87\",\"Find(0)=2, Find(6)=2, Add (0,6)=85 Failed, w=87\",\"Find(5)=2, Find(6)=2, Add (5,6)=85 Failed, w=87\",\"Find(2)=2, Find(4)=2, Add (2,4)=86 Failed, w=87\",\"Find(2)=2, Find(6)=2, Add (2,6)=88 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,24],[0,2,74],[0,4,4],[0,5,51],[0,6,85],[1,2,69],[1,4,75],[1,5,53],[2,3,21],[2,4,86],[2,5,33],[2,6,88],[3,4,42],[3,5,26],[3,6,58],[4,5,5],[4,6,7],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=4,(4,5)=5,(4,6)=7,(2,3)=21,(0,1)=24,(3,5)=26,(2,5)=33,(3,4)=42,(0,5)=51,(1,5)=53,(3,6)=58,(1,2)=69,(0,2)=74,(1,4)=75,(0,6)=85,(5,6)=85,(2,4)=86,(2,6)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6}, Find(4)=0, Find(5)=5, Add (4,5)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=6, Add (4,6)=7 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 0, 6: 0}, Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=61\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 0, 5: 0, 6: 0}, Find(3)=2, Find(5)=0, Add (3,5)=26 Succeeded, w=87\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 0, 5: 2, 6: 0}, Find(2)=2, Find(5)=2, Add (2,5)=33 Failed, w=87\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0}, Find(3)=2, Find(4)=2, Add (3,4)=42 Failed, w=87\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0}, Find(0)=2, Find(5)=2, Add (0,5)=51 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0}, Find(1)=2, Find(5)=2, Add (1,5)=53 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=58 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=69 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=74 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=75 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=85 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=85 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=86 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=88 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,20],[0,2,37],[0,3,49],[0,4,63],[1,2,56],[1,4,78],[2,3,37],[2,4,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,37],[0,3,49],[0,4,63],[1,2,56],[1,4,78],[2,3,37],[2,4,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,37],[0,3,49],[0,4,63],[1,2,56],[1,4,78],[2,3,37],[2,4,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (2,3)\",\"Add (0,4)\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,37],[0,3,49],[0,4,63],[1,2,56],[1,4,78],[2,3,37],[2,4,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=20, w=20\",\"Add (0,2)=37, w=57\",\"Add (2,3)=37, w=94\",\"Add (0,4)=63, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,37],[0,3,49],[0,4,63],[1,2,56],[1,4,78],[2,3,37],[2,4,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=20 Succeeded, w=20\",\"Add (0,2)=37 Succeeded, w=57\",\"Add (2,3)=37 Succeeded, w=94\",\"Add (0,3)=49 Failed, w=94\",\"Add (1,2)=56 Failed, w=94\",\"Add (0,4)=63 Succeeded, w=157\",\"Add (1,4)=78 Failed, w=157\",\"Add (2,4)=96 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,37],[0,3,49],[0,4,63],[1,2,56],[1,4,78],[2,3,37],[2,4,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=20,(0,2)=37,(2,3)=37,(0,3)=49,(1,2)=56,(0,4)=63,(1,4)=78,(2,4)=96]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=20\",\"Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=57\",\"Find(2)=0, Find(3)=3, Add (2,3)=37 Succeeded, w=94\",\"Find(0)=0, Find(3)=0, Add (0,3)=49 Failed, w=94\",\"Find(1)=0, Find(2)=0, Add (1,2)=56 Failed, w=94\",\"Find(0)=0, Find(4)=4, Add (0,4)=63 Succeeded, w=157\",\"Find(1)=0, Find(4)=0, Add (1,4)=78 Failed, w=157\",\"Find(2)=0, Find(4)=0, Add (2,4)=96 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,37],[0,3,49],[0,4,63],[1,2,56],[1,4,78],[2,3,37],[2,4,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=20,(0,2)=37,(2,3)=37,(0,3)=49,(1,2)=56,(0,4)=63,(1,4)=78,(2,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(2)=0, Find(3)=3, Add (2,3)=37 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=0, Add (0,3)=49 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(2)=0, Add (1,2)=56 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=63 Succeeded, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=78 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=96 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,26],[0,2,93],[0,3,79],[0,4,73],[1,2,12],[1,3,23],[1,4,5],[2,3,30],[2,4,60],[3,4,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,93],[0,3,79],[0,4,73],[1,2,12],[1,3,23],[1,4,5],[2,3,30],[2,4,60],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,93],[0,3,79],[0,4,73],[1,2,12],[1,3,23],[1,4,5],[2,3,30],[2,4,60],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,93],[0,3,79],[0,4,73],[1,2,12],[1,3,23],[1,4,5],[2,3,30],[2,4,60],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5, w=5\",\"Add (1,2)=12, w=17\",\"Add (1,3)=23, w=40\",\"Add (0,1)=26, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,93],[0,3,79],[0,4,73],[1,2,12],[1,3,23],[1,4,5],[2,3,30],[2,4,60],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5 Succeeded, w=5\",\"Add (1,2)=12 Succeeded, w=17\",\"Add (1,3)=23 Succeeded, w=40\",\"Add (0,1)=26 Succeeded, w=66\",\"Add (2,3)=30 Failed, w=66\",\"Add (2,4)=60 Failed, w=66\",\"Add (0,4)=73 Failed, w=66\",\"Add (3,4)=73 Failed, w=66\",\"Add (0,3)=79 Failed, w=66\",\"Add (0,2)=93 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,93],[0,3,79],[0,4,73],[1,2,12],[1,3,23],[1,4,5],[2,3,30],[2,4,60],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(1,2)=12,(1,3)=23,(0,1)=26,(2,3)=30,(2,4)=60,(0,4)=73,(3,4)=73,(0,3)=79,(0,2)=93]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=17\",\"Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=40\",\"Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=66\",\"Find(2)=1, Find(3)=1, Add (2,3)=30 Failed, w=66\",\"Find(2)=1, Find(4)=1, Add (2,4)=60 Failed, w=66\",\"Find(0)=1, Find(4)=1, Add (0,4)=73 Failed, w=66\",\"Find(3)=1, Find(4)=1, Add (3,4)=73 Failed, w=66\",\"Find(0)=1, Find(3)=1, Add (0,3)=79 Failed, w=66\",\"Find(0)=1, Find(2)=1, Add (0,2)=93 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,93],[0,3,79],[0,4,73],[1,2,12],[1,3,23],[1,4,5],[2,3,30],[2,4,60],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(1,2)=12,(1,3)=23,(0,1)=26,(2,3)=30,(2,4)=60,(0,4)=73,(3,4)=73,(0,3)=79,(0,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=30 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=60 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=73 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=73 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=79 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=93 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,93],[0,2,78],[0,3,78],[0,4,92],[1,2,76],[1,3,4],[1,4,81],[2,3,50],[2,4,6],[3,4,100]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,2,78],[0,3,78],[0,4,92],[1,2,76],[1,3,4],[1,4,81],[2,3,50],[2,4,6],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,2,78],[0,3,78],[0,4,92],[1,2,76],[1,3,4],[1,4,81],[2,3,50],[2,4,6],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,4)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,2,78],[0,3,78],[0,4,92],[1,2,76],[1,3,4],[1,4,81],[2,3,50],[2,4,6],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4, w=4\",\"Add (2,4)=6, w=10\",\"Add (2,3)=50, w=60\",\"Add (0,2)=78, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,2,78],[0,3,78],[0,4,92],[1,2,76],[1,3,4],[1,4,81],[2,3,50],[2,4,6],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4 Succeeded, w=4\",\"Add (2,4)=6 Succeeded, w=10\",\"Add (2,3)=50 Succeeded, w=60\",\"Add (1,2)=76 Failed, w=60\",\"Add (0,2)=78 Succeeded, w=138\",\"Add (0,3)=78 Failed, w=138\",\"Add (1,4)=81 Failed, w=138\",\"Add (0,4)=92 Failed, w=138\",\"Add (0,1)=93 Failed, w=138\",\"Add (3,4)=100 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,2,78],[0,3,78],[0,4,92],[1,2,76],[1,3,4],[1,4,81],[2,3,50],[2,4,6],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(2,4)=6,(2,3)=50,(1,2)=76,(0,2)=78,(0,3)=78,(1,4)=81,(0,4)=92,(0,1)=93,(3,4)=100]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=10\",\"Find(2)=2, Find(3)=1, Add (2,3)=50 Succeeded, w=60\",\"Find(1)=2, Find(2)=2, Add (1,2)=76 Failed, w=60\",\"Find(0)=0, Find(2)=2, Add (0,2)=78 Succeeded, w=138\",\"Find(0)=2, Find(3)=2, Add (0,3)=78 Failed, w=138\",\"Find(1)=2, Find(4)=2, Add (1,4)=81 Failed, w=138\",\"Find(0)=2, Find(4)=2, Add (0,4)=92 Failed, w=138\",\"Find(0)=2, Find(1)=2, Add (0,1)=93 Failed, w=138\",\"Find(3)=2, Find(4)=2, Add (3,4)=100 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,2,78],[0,3,78],[0,4,92],[1,2,76],[1,3,4],[1,4,81],[2,3,50],[2,4,6],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(2,4)=6,(2,3)=50,(1,2)=76,(0,2)=78,(0,3)=78,(1,4)=81,(0,4)=92,(0,1)=93,(3,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 2}, Find(2)=2, Find(3)=1, Add (2,3)=50 Succeeded, w=60\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=76 Failed, w=60\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=78 Succeeded, w=138\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=78 Failed, w=138\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=81 Failed, w=138\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=92 Failed, w=138\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=93 Failed, w=138\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=100 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,50],[0,4,57],[0,5,95],[0,6,1],[1,3,62],[1,6,91],[2,3,72],[2,4,9],[2,5,71],[2,6,9],[3,5,28],[3,6,19],[4,5,10],[4,6,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,50],[0,4,57],[0,5,95],[0,6,1],[1,3,62],[1,6,91],[2,3,72],[2,4,9],[2,5,71],[2,6,9],[3,5,28],[3,6,19],[4,5,10],[4,6,1]]}",
"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],\"edges\":[[0,3,50],[0,4,57],[0,5,95],[0,6,1],[1,3,62],[1,6,91],[2,3,72],[2,4,9],[2,5,71],[2,6,9],[3,5,28],[3,6,19],[4,5,10],[4,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (4,6)\",\"Add (2,4)\",\"Add (4,5)\",\"Add (3,6)\",\"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],\"edges\":[[0,3,50],[0,4,57],[0,5,95],[0,6,1],[1,3,62],[1,6,91],[2,3,72],[2,4,9],[2,5,71],[2,6,9],[3,5,28],[3,6,19],[4,5,10],[4,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=1, w=1\",\"Add (4,6)=1, w=2\",\"Add (2,4)=9, w=11\",\"Add (4,5)=10, w=21\",\"Add (3,6)=19, w=40\",\"Add (1,3)=62, 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],\"edges\":[[0,3,50],[0,4,57],[0,5,95],[0,6,1],[1,3,62],[1,6,91],[2,3,72],[2,4,9],[2,5,71],[2,6,9],[3,5,28],[3,6,19],[4,5,10],[4,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=1 Succeeded, w=1\",\"Add (4,6)=1 Succeeded, w=2\",\"Add (2,4)=9 Succeeded, w=11\",\"Add (2,6)=9 Failed, w=11\",\"Add (4,5)=10 Succeeded, w=21\",\"Add (3,6)=19 Succeeded, w=40\",\"Add (3,5)=28 Failed, w=40\",\"Add (0,3)=50 Failed, w=40\",\"Add (0,4)=57 Failed, w=40\",\"Add (1,3)=62 Succeeded, w=102\",\"Add (2,5)=71 Failed, w=102\",\"Add (2,3)=72 Failed, w=102\",\"Add (1,6)=91 Failed, w=102\",\"Add (0,5)=95 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],\"edges\":[[0,3,50],[0,4,57],[0,5,95],[0,6,1],[1,3,62],[1,6,91],[2,3,72],[2,4,9],[2,5,71],[2,6,9],[3,5,28],[3,6,19],[4,5,10],[4,6,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=1,(4,6)=1,(2,4)=9,(2,6)=9,(4,5)=10,(3,6)=19,(3,5)=28,(0,3)=50,(0,4)=57,(1,3)=62,(2,5)=71,(2,3)=72,(1,6)=91,(0,5)=95]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=1 Succeeded, w=1\",\"Find(4)=4, Find(6)=0, Add (4,6)=1 Succeeded, w=2\",\"Find(2)=2, Find(4)=0, Add (2,4)=9 Succeeded, w=11\",\"Find(2)=0, Find(6)=0, Add (2,6)=9 Failed, w=11\",\"Find(4)=0, Find(5)=5, Add (4,5)=10 Succeeded, w=21\",\"Find(3)=3, Find(6)=0, Add (3,6)=19 Succeeded, w=40\",\"Find(3)=0, Find(5)=0, Add (3,5)=28 Failed, w=40\",\"Find(0)=0, Find(3)=0, Add (0,3)=50 Failed, w=40\",\"Find(0)=0, Find(4)=0, Add (0,4)=57 Failed, w=40\",\"Find(1)=1, Find(3)=0, Add (1,3)=62 Succeeded, w=102\",\"Find(2)=0, Find(5)=0, Add (2,5)=71 Failed, w=102\",\"Find(2)=0, Find(3)=0, Add (2,3)=72 Failed, w=102\",\"Find(1)=0, Find(6)=0, Add (1,6)=91 Failed, w=102\",\"Find(0)=0, Find(5)=0, Add (0,5)=95 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],\"edges\":[[0,3,50],[0,4,57],[0,5,95],[0,6,1],[1,3,62],[1,6,91],[2,3,72],[2,4,9],[2,5,71],[2,6,9],[3,5,28],[3,6,19],[4,5,10],[4,6,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=1,(4,6)=1,(2,4)=9,(2,6)=9,(4,5)=10,(3,6)=19,(3,5)=28,(0,3)=50,(0,4)=57,(1,3)=62,(2,5)=71,(2,3)=72,(1,6)=91,(0,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=1 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0}, Find(2)=2, Find(4)=0, Add (2,4)=9 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=9 Failed, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=5, Add (4,5)=10 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=3, Find(6)=0, Add (3,6)=19 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=28 Failed, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=50 Failed, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=57 Failed, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=1, Find(3)=0, Add (1,3)=62 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=71 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=72 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=91 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=95 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,46],[0,2,70],[0,3,43],[1,2,2],[1,3,40],[1,4,44],[2,3,58],[2,4,99],[3,4,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,46],[0,2,70],[0,3,43],[1,2,2],[1,3,40],[1,4,44],[2,3,58],[2,4,99],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,46],[0,2,70],[0,3,43],[1,2,2],[1,3,40],[1,4,44],[2,3,58],[2,4,99],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,3)\",\"Add (1,4)\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,46],[0,2,70],[0,3,43],[1,2,2],[1,3,40],[1,4,44],[2,3,58],[2,4,99],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2, w=2\",\"Add (1,3)=40, w=42\",\"Add (0,3)=43, w=85\",\"Add (1,4)=44, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,46],[0,2,70],[0,3,43],[1,2,2],[1,3,40],[1,4,44],[2,3,58],[2,4,99],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2 Succeeded, w=2\",\"Add (1,3)=40 Succeeded, w=42\",\"Add (0,3)=43 Succeeded, w=85\",\"Add (1,4)=44 Succeeded, w=129\",\"Add (0,1)=46 Failed, w=129\",\"Add (2,3)=58 Failed, w=129\",\"Add (0,2)=70 Failed, w=129\",\"Add (3,4)=73 Failed, w=129\",\"Add (2,4)=99 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,46],[0,2,70],[0,3,43],[1,2,2],[1,3,40],[1,4,44],[2,3,58],[2,4,99],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(1,3)=40,(0,3)=43,(1,4)=44,(0,1)=46,(2,3)=58,(0,2)=70,(3,4)=73,(2,4)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=3, Add (1,3)=40 Succeeded, w=42\",\"Find(0)=0, Find(3)=1, Add (0,3)=43 Succeeded, w=85\",\"Find(1)=1, Find(4)=4, Add (1,4)=44 Succeeded, w=129\",\"Find(0)=1, Find(1)=1, Add (0,1)=46 Failed, w=129\",\"Find(2)=1, Find(3)=1, Add (2,3)=58 Failed, w=129\",\"Find(0)=1, Find(2)=1, Add (0,2)=70 Failed, w=129\",\"Find(3)=1, Find(4)=1, Add (3,4)=73 Failed, w=129\",\"Find(2)=1, Find(4)=1, Add (2,4)=99 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,46],[0,2,70],[0,3,43],[1,2,2],[1,3,40],[1,4,44],[2,3,58],[2,4,99],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(1,3)=40,(0,3)=43,(1,4)=44,(0,1)=46,(2,3)=58,(0,2)=70,(3,4)=73,(2,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=40 Succeeded, w=42\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=0, Find(3)=1, Add (0,3)=43 Succeeded, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=44 Succeeded, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=46 Failed, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=58 Failed, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=70 Failed, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=73 Failed, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=99 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,35],[0,3,21],[0,4,28],[0,5,38],[0,6,40],[1,2,29],[1,3,50],[1,5,39],[1,6,37],[2,3,8],[2,4,36],[2,5,7],[2,6,30],[3,4,77],[3,5,73],[3,6,65],[4,5,43],[5,6,75]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,35],[0,3,21],[0,4,28],[0,5,38],[0,6,40],[1,2,29],[1,3,50],[1,5,39],[1,6,37],[2,3,8],[2,4,36],[2,5,7],[2,6,30],[3,4,77],[3,5,73],[3,6,65],[4,5,43],[5,6,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,35],[0,3,21],[0,4,28],[0,5,38],[0,6,40],[1,2,29],[1,3,50],[1,5,39],[1,6,37],[2,3,8],[2,4,36],[2,5,7],[2,6,30],[3,4,77],[3,5,73],[3,6,65],[4,5,43],[5,6,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (2,6)\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,35],[0,3,21],[0,4,28],[0,5,38],[0,6,40],[1,2,29],[1,3,50],[1,5,39],[1,6,37],[2,3,8],[2,4,36],[2,5,7],[2,6,30],[3,4,77],[3,5,73],[3,6,65],[4,5,43],[5,6,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=7, w=7\",\"Add (2,3)=8, w=15\",\"Add (0,3)=21, w=36\",\"Add (0,4)=28, w=64\",\"Add (1,2)=29, w=93\",\"Add (2,6)=30, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,35],[0,3,21],[0,4,28],[0,5,38],[0,6,40],[1,2,29],[1,3,50],[1,5,39],[1,6,37],[2,3,8],[2,4,36],[2,5,7],[2,6,30],[3,4,77],[3,5,73],[3,6,65],[4,5,43],[5,6,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=7 Succeeded, w=7\",\"Add (2,3)=8 Succeeded, w=15\",\"Add (0,3)=21 Succeeded, w=36\",\"Add (0,4)=28 Succeeded, w=64\",\"Add (1,2)=29 Succeeded, w=93\",\"Add (2,6)=30 Succeeded, w=123\",\"Add (0,2)=35 Failed, w=123\",\"Add (2,4)=36 Failed, w=123\",\"Add (1,6)=37 Failed, w=123\",\"Add (0,5)=38 Failed, w=123\",\"Add (1,5)=39 Failed, w=123\",\"Add (0,6)=40 Failed, w=123\",\"Add (4,5)=43 Failed, w=123\",\"Add (1,3)=50 Failed, w=123\",\"Add (3,6)=65 Failed, w=123\",\"Add (3,5)=73 Failed, w=123\",\"Add (5,6)=75 Failed, w=123\",\"Add (3,4)=77 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,35],[0,3,21],[0,4,28],[0,5,38],[0,6,40],[1,2,29],[1,3,50],[1,5,39],[1,6,37],[2,3,8],[2,4,36],[2,5,7],[2,6,30],[3,4,77],[3,5,73],[3,6,65],[4,5,43],[5,6,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=7,(2,3)=8,(0,3)=21,(0,4)=28,(1,2)=29,(2,6)=30,(0,2)=35,(2,4)=36,(1,6)=37,(0,5)=38,(1,5)=39,(0,6)=40,(4,5)=43,(1,3)=50,(3,6)=65,(3,5)=73,(5,6)=75,(3,4)=77]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=7 Succeeded, w=7\",\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=15\",\"Find(0)=0, Find(3)=2, Add (0,3)=21 Succeeded, w=36\",\"Find(0)=2, Find(4)=4, Add (0,4)=28 Succeeded, w=64\",\"Find(1)=1, Find(2)=2, Add (1,2)=29 Succeeded, w=93\",\"Find(2)=2, Find(6)=6, Add (2,6)=30 Succeeded, w=123\",\"Find(0)=2, Find(2)=2, Add (0,2)=35 Failed, w=123\",\"Find(2)=2, Find(4)=2, Add (2,4)=36 Failed, w=123\",\"Find(1)=2, Find(6)=2, Add (1,6)=37 Failed, w=123\",\"Find(0)=2, Find(5)=2, Add (0,5)=38 Failed, w=123\",\"Find(1)=2, Find(5)=2, Add (1,5)=39 Failed, w=123\",\"Find(0)=2, Find(6)=2, Add (0,6)=40 Failed, w=123\",\"Find(4)=2, Find(5)=2, Add (4,5)=43 Failed, w=123\",\"Find(1)=2, Find(3)=2, Add (1,3)=50 Failed, w=123\",\"Find(3)=2, Find(6)=2, Add (3,6)=65 Failed, w=123\",\"Find(3)=2, Find(5)=2, Add (3,5)=73 Failed, w=123\",\"Find(5)=2, Find(6)=2, Add (5,6)=75 Failed, w=123\",\"Find(3)=2, Find(4)=2, Add (3,4)=77 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,35],[0,3,21],[0,4,28],[0,5,38],[0,6,40],[1,2,29],[1,3,50],[1,5,39],[1,6,37],[2,3,8],[2,4,36],[2,5,7],[2,6,30],[3,4,77],[3,5,73],[3,6,65],[4,5,43],[5,6,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=7,(2,3)=8,(0,3)=21,(0,4)=28,(1,2)=29,(2,6)=30,(0,2)=35,(2,4)=36,(1,6)=37,(0,5)=38,(1,5)=39,(0,6)=40,(4,5)=43,(1,3)=50,(3,6)=65,(3,5)=73,(5,6)=75,(3,4)=77]\",\"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)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=15\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6}, Find(0)=0, Find(3)=2, Add (0,3)=21 Succeeded, w=36\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(0)=2, Find(4)=4, Add (0,4)=28 Succeeded, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=29 Succeeded, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=30 Succeeded, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=35 Failed, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=36 Failed, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=37 Failed, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=38 Failed, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=39 Failed, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=40 Failed, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=43 Failed, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=50 Failed, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=65 Failed, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=73 Failed, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=75 Failed, w=123\",\"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=123\"],\"Answer\":123}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,6],[0,2,3],[0,3,79],[0,4,94],[0,6,91],[0,7,44],[1,3,49],[1,4,87],[1,5,83],[1,6,79],[1,7,39],[2,3,4],[2,5,32],[2,7,85],[3,5,41],[3,6,17],[3,7,99],[4,5,32],[4,6,6],[5,7,61],[6,7,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,2,3],[0,3,79],[0,4,94],[0,6,91],[0,7,44],[1,3,49],[1,4,87],[1,5,83],[1,6,79],[1,7,39],[2,3,4],[2,5,32],[2,7,85],[3,5,41],[3,6,17],[3,7,99],[4,5,32],[4,6,6],[5,7,61],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,2,3],[0,3,79],[0,4,94],[0,6,91],[0,7,44],[1,3,49],[1,4,87],[1,5,83],[1,6,79],[1,7,39],[2,3,4],[2,5,32],[2,7,85],[3,5,41],[3,6,17],[3,7,99],[4,5,32],[4,6,6],[5,7,61],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (4,6)\",\"Add (3,6)\",\"Add (2,5)\",\"Add (1,7)\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,2,3],[0,3,79],[0,4,94],[0,6,91],[0,7,44],[1,3,49],[1,4,87],[1,5,83],[1,6,79],[1,7,39],[2,3,4],[2,5,32],[2,7,85],[3,5,41],[3,6,17],[3,7,99],[4,5,32],[4,6,6],[5,7,61],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3, w=3\",\"Add (2,3)=4, w=7\",\"Add (0,1)=6, w=13\",\"Add (4,6)=6, w=19\",\"Add (3,6)=17, w=36\",\"Add (2,5)=32, w=68\",\"Add (1,7)=39, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,2,3],[0,3,79],[0,4,94],[0,6,91],[0,7,44],[1,3,49],[1,4,87],[1,5,83],[1,6,79],[1,7,39],[2,3,4],[2,5,32],[2,7,85],[3,5,41],[3,6,17],[3,7,99],[4,5,32],[4,6,6],[5,7,61],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3 Succeeded, w=3\",\"Add (2,3)=4 Succeeded, w=7\",\"Add (0,1)=6 Succeeded, w=13\",\"Add (4,6)=6 Succeeded, w=19\",\"Add (3,6)=17 Succeeded, w=36\",\"Add (2,5)=32 Succeeded, w=68\",\"Add (4,5)=32 Failed, w=68\",\"Add (1,7)=39 Succeeded, w=107\",\"Add (3,5)=41 Failed, w=107\",\"Add (0,7)=44 Failed, w=107\",\"Add (1,3)=49 Failed, w=107\",\"Add (5,7)=61 Failed, w=107\",\"Add (6,7)=67 Failed, w=107\",\"Add (0,3)=79 Failed, w=107\",\"Add (1,6)=79 Failed, w=107\",\"Add (1,5)=83 Failed, w=107\",\"Add (2,7)=85 Failed, w=107\",\"Add (1,4)=87 Failed, w=107\",\"Add (0,6)=91 Failed, w=107\",\"Add (0,4)=94 Failed, w=107\",\"Add (3,7)=99 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,2,3],[0,3,79],[0,4,94],[0,6,91],[0,7,44],[1,3,49],[1,4,87],[1,5,83],[1,6,79],[1,7,39],[2,3,4],[2,5,32],[2,7,85],[3,5,41],[3,6,17],[3,7,99],[4,5,32],[4,6,6],[5,7,61],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(2,3)=4,(0,1)=6,(4,6)=6,(3,6)=17,(2,5)=32,(4,5)=32,(1,7)=39,(3,5)=41,(0,7)=44,(1,3)=49,(5,7)=61,(6,7)=67,(0,3)=79,(1,6)=79,(1,5)=83,(2,7)=85,(1,4)=87,(0,6)=91,(0,4)=94,(3,7)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(2)=0, Find(3)=3, Add (2,3)=4 Succeeded, w=7\",\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=13\",\"Find(4)=4, Find(6)=6, Add (4,6)=6 Succeeded, w=19\",\"Find(3)=0, Find(6)=4, Add (3,6)=17 Succeeded, w=36\",\"Find(2)=0, Find(5)=5, Add (2,5)=32 Succeeded, w=68\",\"Find(4)=0, Find(5)=0, Add (4,5)=32 Failed, w=68\",\"Find(1)=0, Find(7)=7, Add (1,7)=39 Succeeded, w=107\",\"Find(3)=0, Find(5)=0, Add (3,5)=41 Failed, w=107\",\"Find(0)=0, Find(7)=0, Add (0,7)=44 Failed, w=107\",\"Find(1)=0, Find(3)=0, Add (1,3)=49 Failed, w=107\",\"Find(5)=0, Find(7)=0, Add (5,7)=61 Failed, w=107\",\"Find(6)=0, Find(7)=0, Add (6,7)=67 Failed, w=107\",\"Find(0)=0, Find(3)=0, Add (0,3)=79 Failed, w=107\",\"Find(1)=0, Find(6)=0, Add (1,6)=79 Failed, w=107\",\"Find(1)=0, Find(5)=0, Add (1,5)=83 Failed, w=107\",\"Find(2)=0, Find(7)=0, Add (2,7)=85 Failed, w=107\",\"Find(1)=0, Find(4)=0, Add (1,4)=87 Failed, w=107\",\"Find(0)=0, Find(6)=0, Add (0,6)=91 Failed, w=107\",\"Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=107\",\"Find(3)=0, Find(7)=0, Add (3,7)=99 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,2,3],[0,3,79],[0,4,94],[0,6,91],[0,7,44],[1,3,49],[1,4,87],[1,5,83],[1,6,79],[1,7,39],[2,3,4],[2,5,32],[2,7,85],[3,5,41],[3,6,17],[3,7,99],[4,5,32],[4,6,6],[5,7,61],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(2,3)=4,(0,1)=6,(4,6)=6,(3,6)=17,(2,5)=32,(4,5)=32,(1,7)=39,(3,5)=41,(0,7)=44,(1,3)=49,(5,7)=61,(6,7)=67,(0,3)=79,(1,6)=79,(1,5)=83,(2,7)=85,(1,4)=87,(0,6)=91,(0,4)=94,(3,7)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(2)=0, Find(3)=3, Add (2,3)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=6 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 4, 7: 7}, Find(3)=0, Find(6)=4, Add (3,6)=17 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4, 7: 7}, Find(2)=0, Find(5)=5, Add (2,5)=32 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4, 7: 7}, Find(4)=0, Find(5)=0, Add (4,5)=32 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4, 7: 0}, Find(1)=0, Find(7)=7, Add (1,7)=39 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=41 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=44 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=49 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=61 Failed, w=107\",\"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)=67 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=79 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=79 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=83 Failed, w=107\",\"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)=85 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=87 Failed, w=107\",\"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)=91 Failed, w=107\",\"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)=94 Failed, w=107\",\"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=107\"],\"Answer\":107}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,33],[0,2,56],[0,3,52],[0,4,24],[0,5,59],[1,2,41],[1,3,97],[1,4,20],[1,5,24],[2,3,92],[2,4,20],[2,5,41],[3,4,20],[3,5,89],[4,5,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,56],[0,3,52],[0,4,24],[0,5,59],[1,2,41],[1,3,97],[1,4,20],[1,5,24],[2,3,92],[2,4,20],[2,5,41],[3,4,20],[3,5,89],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,56],[0,3,52],[0,4,24],[0,5,59],[1,2,41],[1,3,97],[1,4,20],[1,5,24],[2,3,92],[2,4,20],[2,5,41],[3,4,20],[3,5,89],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,4)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (1,5)\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,56],[0,3,52],[0,4,24],[0,5,59],[1,2,41],[1,3,97],[1,4,20],[1,5,24],[2,3,92],[2,4,20],[2,5,41],[3,4,20],[3,5,89],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=20, w=20\",\"Add (2,4)=20, w=40\",\"Add (3,4)=20, w=60\",\"Add (0,4)=24, w=84\",\"Add (1,5)=24, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,56],[0,3,52],[0,4,24],[0,5,59],[1,2,41],[1,3,97],[1,4,20],[1,5,24],[2,3,92],[2,4,20],[2,5,41],[3,4,20],[3,5,89],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=20 Succeeded, w=20\",\"Add (2,4)=20 Succeeded, w=40\",\"Add (3,4)=20 Succeeded, w=60\",\"Add (0,4)=24 Succeeded, w=84\",\"Add (1,5)=24 Succeeded, w=108\",\"Add (0,1)=33 Failed, w=108\",\"Add (1,2)=41 Failed, w=108\",\"Add (2,5)=41 Failed, w=108\",\"Add (0,3)=52 Failed, w=108\",\"Add (0,2)=56 Failed, w=108\",\"Add (0,5)=59 Failed, w=108\",\"Add (3,5)=89 Failed, w=108\",\"Add (4,5)=90 Failed, w=108\",\"Add (2,3)=92 Failed, w=108\",\"Add (1,3)=97 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,56],[0,3,52],[0,4,24],[0,5,59],[1,2,41],[1,3,97],[1,4,20],[1,5,24],[2,3,92],[2,4,20],[2,5,41],[3,4,20],[3,5,89],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=20,(2,4)=20,(3,4)=20,(0,4)=24,(1,5)=24,(0,1)=33,(1,2)=41,(2,5)=41,(0,3)=52,(0,2)=56,(0,5)=59,(3,5)=89,(4,5)=90,(2,3)=92,(1,3)=97]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=20\",\"Find(2)=2, Find(4)=1, Add (2,4)=20 Succeeded, w=40\",\"Find(3)=3, Find(4)=1, Add (3,4)=20 Succeeded, w=60\",\"Find(0)=0, Find(4)=1, Add (0,4)=24 Succeeded, w=84\",\"Find(1)=1, Find(5)=5, Add (1,5)=24 Succeeded, w=108\",\"Find(0)=1, Find(1)=1, Add (0,1)=33 Failed, w=108\",\"Find(1)=1, Find(2)=1, Add (1,2)=41 Failed, w=108\",\"Find(2)=1, Find(5)=1, Add (2,5)=41 Failed, w=108\",\"Find(0)=1, Find(3)=1, Add (0,3)=52 Failed, w=108\",\"Find(0)=1, Find(2)=1, Add (0,2)=56 Failed, w=108\",\"Find(0)=1, Find(5)=1, Add (0,5)=59 Failed, w=108\",\"Find(3)=1, Find(5)=1, Add (3,5)=89 Failed, w=108\",\"Find(4)=1, Find(5)=1, Add (4,5)=90 Failed, w=108\",\"Find(2)=1, Find(3)=1, Add (2,3)=92 Failed, w=108\",\"Find(1)=1, Find(3)=1, Add (1,3)=97 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,56],[0,3,52],[0,4,24],[0,5,59],[1,2,41],[1,3,97],[1,4,20],[1,5,24],[2,3,92],[2,4,20],[2,5,41],[3,4,20],[3,5,89],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=20,(2,4)=20,(3,4)=20,(0,4)=24,(1,5)=24,(0,1)=33,(1,2)=41,(2,5)=41,(0,3)=52,(0,2)=56,(0,5)=59,(3,5)=89,(4,5)=90,(2,3)=92,(1,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(2)=2, Find(4)=1, Add (2,4)=20 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(3)=3, Find(4)=1, Add (3,4)=20 Succeeded, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(0)=0, Find(4)=1, Add (0,4)=24 Succeeded, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=24 Succeeded, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=33 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=41 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=41 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=52 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=56 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=59 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=89 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=90 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=92 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=97 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,52],[0,3,21],[1,2,47],[2,3,71]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,3,21],[1,2,47],[2,3,71]]}",
"role": "user"
},
{
"content": "{\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,3,21],[1,2,47],[2,3,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,3,21],[1,2,47],[2,3,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=21, w=21\",\"Add (1,2)=47, w=68\",\"Add (0,1)=52, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,3,21],[1,2,47],[2,3,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=21 Succeeded, w=21\",\"Add (1,2)=47 Succeeded, w=68\",\"Add (0,1)=52 Succeeded, w=120\",\"Add (2,3)=71 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,3,21],[1,2,47],[2,3,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=21,(1,2)=47,(0,1)=52,(2,3)=71]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=21\",\"Find(1)=1, Find(2)=2, Add (1,2)=47 Succeeded, w=68\",\"Find(0)=0, Find(1)=1, Add (0,1)=52 Succeeded, w=120\",\"Find(2)=0, Find(3)=0, Add (2,3)=71 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,3,21],[1,2,47],[2,3,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=21,(1,2)=47,(0,1)=52,(2,3)=71]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=47 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=52 Succeeded, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=71 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,88],[0,3,82],[1,2,65],[1,3,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,88],[0,3,82],[1,2,65],[1,3,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":235}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,88],[0,3,82],[1,2,65],[1,3,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":235}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,88],[0,3,82],[1,2,65],[1,3,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=65, w=65\",\"Add (0,3)=82, w=147\",\"Add (0,2)=88, w=235\"],\"Answer\":235}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,88],[0,3,82],[1,2,65],[1,3,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=65 Succeeded, w=65\",\"Add (0,3)=82 Succeeded, w=147\",\"Add (0,2)=88 Succeeded, w=235\",\"Add (1,3)=91 Failed, w=235\"],\"Answer\":235}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,88],[0,3,82],[1,2,65],[1,3,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=65,(0,3)=82,(0,2)=88,(1,3)=91]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=65 Succeeded, w=65\",\"Find(0)=0, Find(3)=3, Add (0,3)=82 Succeeded, w=147\",\"Find(0)=0, Find(2)=1, Add (0,2)=88 Succeeded, w=235\",\"Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=235\"],\"Answer\":235}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,88],[0,3,82],[1,2,65],[1,3,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=65,(0,3)=82,(0,2)=88,(1,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=65 Succeeded, w=65\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=82 Succeeded, w=147\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(2)=1, Add (0,2)=88 Succeeded, w=235\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=235\"],\"Answer\":235}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,91],[0,2,52],[0,5,56],[0,6,96],[1,4,44],[1,7,63],[2,4,14],[2,5,68],[2,6,12],[2,7,49],[3,6,58],[4,5,81],[5,6,70],[5,7,46]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,52],[0,5,56],[0,6,96],[1,4,44],[1,7,63],[2,4,14],[2,5,68],[2,6,12],[2,7,49],[3,6,58],[4,5,81],[5,6,70],[5,7,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":275}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,52],[0,5,56],[0,6,96],[1,4,44],[1,7,63],[2,4,14],[2,5,68],[2,6,12],[2,7,49],[3,6,58],[4,5,81],[5,6,70],[5,7,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (2,4)\",\"Add (1,4)\",\"Add (5,7)\",\"Add (2,7)\",\"Add (0,2)\",\"Add (3,6)\"],\"Answer\":275}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,52],[0,5,56],[0,6,96],[1,4,44],[1,7,63],[2,4,14],[2,5,68],[2,6,12],[2,7,49],[3,6,58],[4,5,81],[5,6,70],[5,7,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=12, w=12\",\"Add (2,4)=14, w=26\",\"Add (1,4)=44, w=70\",\"Add (5,7)=46, w=116\",\"Add (2,7)=49, w=165\",\"Add (0,2)=52, w=217\",\"Add (3,6)=58, w=275\"],\"Answer\":275}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,52],[0,5,56],[0,6,96],[1,4,44],[1,7,63],[2,4,14],[2,5,68],[2,6,12],[2,7,49],[3,6,58],[4,5,81],[5,6,70],[5,7,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=12 Succeeded, w=12\",\"Add (2,4)=14 Succeeded, w=26\",\"Add (1,4)=44 Succeeded, w=70\",\"Add (5,7)=46 Succeeded, w=116\",\"Add (2,7)=49 Succeeded, w=165\",\"Add (0,2)=52 Succeeded, w=217\",\"Add (0,5)=56 Failed, w=217\",\"Add (3,6)=58 Succeeded, w=275\",\"Add (1,7)=63 Failed, w=275\",\"Add (2,5)=68 Failed, w=275\",\"Add (5,6)=70 Failed, w=275\",\"Add (4,5)=81 Failed, w=275\",\"Add (0,1)=91 Failed, w=275\",\"Add (0,6)=96 Failed, w=275\"],\"Answer\":275}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,52],[0,5,56],[0,6,96],[1,4,44],[1,7,63],[2,4,14],[2,5,68],[2,6,12],[2,7,49],[3,6,58],[4,5,81],[5,6,70],[5,7,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=12,(2,4)=14,(1,4)=44,(5,7)=46,(2,7)=49,(0,2)=52,(0,5)=56,(3,6)=58,(1,7)=63,(2,5)=68,(5,6)=70,(4,5)=81,(0,1)=91,(0,6)=96]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=12 Succeeded, w=12\",\"Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=26\",\"Find(1)=1, Find(4)=2, Add (1,4)=44 Succeeded, w=70\",\"Find(5)=5, Find(7)=7, Add (5,7)=46 Succeeded, w=116\",\"Find(2)=2, Find(7)=5, Add (2,7)=49 Succeeded, w=165\",\"Find(0)=0, Find(2)=2, Add (0,2)=52 Succeeded, w=217\",\"Find(0)=2, Find(5)=2, Add (0,5)=56 Failed, w=217\",\"Find(3)=3, Find(6)=2, Add (3,6)=58 Succeeded, w=275\",\"Find(1)=2, Find(7)=2, Add (1,7)=63 Failed, w=275\",\"Find(2)=2, Find(5)=2, Add (2,5)=68 Failed, w=275\",\"Find(5)=2, Find(6)=2, Add (5,6)=70 Failed, w=275\",\"Find(4)=2, Find(5)=2, Add (4,5)=81 Failed, w=275\",\"Find(0)=2, Find(1)=2, Add (0,1)=91 Failed, w=275\",\"Find(0)=2, Find(6)=2, Add (0,6)=96 Failed, w=275\"],\"Answer\":275}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,52],[0,5,56],[0,6,96],[1,4,44],[1,7,63],[2,4,14],[2,5,68],[2,6,12],[2,7,49],[3,6,58],[4,5,81],[5,6,70],[5,7,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=12,(2,4)=14,(1,4)=44,(5,7)=46,(2,7)=49,(0,2)=52,(0,5)=56,(3,6)=58,(1,7)=63,(2,5)=68,(5,6)=70,(4,5)=81,(0,1)=91,(0,6)=96]\",\"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)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=26\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2, 7: 7}, Find(1)=1, Find(4)=2, Add (1,4)=44 Succeeded, w=70\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=46 Succeeded, w=116\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 5}, Find(2)=2, Find(7)=5, Add (2,7)=49 Succeeded, w=165\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 5}, Find(0)=0, Find(2)=2, Add (0,2)=52 Succeeded, w=217\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 5}, Find(0)=2, Find(5)=2, Add (0,5)=56 Failed, w=217\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 5}, Find(3)=3, Find(6)=2, Add (3,6)=58 Succeeded, w=275\",\"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)=63 Failed, w=275\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=68 Failed, w=275\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=70 Failed, w=275\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=81 Failed, w=275\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=91 Failed, w=275\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=96 Failed, w=275\"],\"Answer\":275}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,83],[0,2,38],[0,3,36],[1,2,23],[1,3,79],[2,3,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,38],[0,3,36],[1,2,23],[1,3,79],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,38],[0,3,36],[1,2,23],[1,3,79],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,38],[0,3,36],[1,2,23],[1,3,79],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=15, w=15\",\"Add (1,2)=23, w=38\",\"Add (0,3)=36, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,38],[0,3,36],[1,2,23],[1,3,79],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=15 Succeeded, w=15\",\"Add (1,2)=23 Succeeded, w=38\",\"Add (0,3)=36 Succeeded, w=74\",\"Add (0,2)=38 Failed, w=74\",\"Add (1,3)=79 Failed, w=74\",\"Add (0,1)=83 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,38],[0,3,36],[1,2,23],[1,3,79],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=15,(1,2)=23,(0,3)=36,(0,2)=38,(1,3)=79,(0,1)=83]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=15\",\"Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=38\",\"Find(0)=0, Find(3)=2, Add (0,3)=36 Succeeded, w=74\",\"Find(0)=2, Find(2)=2, Add (0,2)=38 Failed, w=74\",\"Find(1)=2, Find(3)=2, Add (1,3)=79 Failed, w=74\",\"Find(0)=2, Find(1)=2, Add (0,1)=83 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,38],[0,3,36],[1,2,23],[1,3,79],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=15,(1,2)=23,(0,3)=36,(0,2)=38,(1,3)=79,(0,1)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=38\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=36 Succeeded, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=38 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=79 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=83 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,20],[0,2,66],[1,2,97],[1,3,88],[2,3,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,2,66],[1,2,97],[1,3,88],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,2,66],[1,2,97],[1,3,88],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,2,66],[1,2,97],[1,3,88],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=20, w=20\",\"Add (0,2)=66, w=86\",\"Add (2,3)=86, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,2,66],[1,2,97],[1,3,88],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=20 Succeeded, w=20\",\"Add (0,2)=66 Succeeded, w=86\",\"Add (2,3)=86 Succeeded, w=172\",\"Add (1,3)=88 Failed, w=172\",\"Add (1,2)=97 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,2,66],[1,2,97],[1,3,88],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=20,(0,2)=66,(2,3)=86,(1,3)=88,(1,2)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=20\",\"Find(0)=0, Find(2)=2, Add (0,2)=66 Succeeded, w=86\",\"Find(2)=0, Find(3)=3, Add (2,3)=86 Succeeded, w=172\",\"Find(1)=0, Find(3)=0, Add (1,3)=88 Failed, w=172\",\"Find(1)=0, Find(2)=0, Add (1,2)=97 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,2,66],[1,2,97],[1,3,88],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=20,(0,2)=66,(2,3)=86,(1,3)=88,(1,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=66 Succeeded, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=86 Succeeded, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=88 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=97 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,37],[0,3,74],[0,4,1],[0,5,59],[1,2,64],[1,3,88],[1,4,46],[1,5,12],[2,3,10],[2,4,9],[2,5,5],[3,4,69],[3,5,23],[4,5,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,37],[0,3,74],[0,4,1],[0,5,59],[1,2,64],[1,3,88],[1,4,46],[1,5,12],[2,3,10],[2,4,9],[2,5,5],[3,4,69],[3,5,23],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,37],[0,3,74],[0,4,1],[0,5,59],[1,2,64],[1,3,88],[1,4,46],[1,5,12],[2,3,10],[2,4,9],[2,5,5],[3,4,69],[3,5,23],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,5)\",\"Add (2,4)\",\"Add (2,3)\",\"Add (1,5)\"],\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,37],[0,3,74],[0,4,1],[0,5,59],[1,2,64],[1,3,88],[1,4,46],[1,5,12],[2,3,10],[2,4,9],[2,5,5],[3,4,69],[3,5,23],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1, w=1\",\"Add (2,5)=5, w=6\",\"Add (2,4)=9, w=15\",\"Add (2,3)=10, w=25\",\"Add (1,5)=12, w=37\"],\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,37],[0,3,74],[0,4,1],[0,5,59],[1,2,64],[1,3,88],[1,4,46],[1,5,12],[2,3,10],[2,4,9],[2,5,5],[3,4,69],[3,5,23],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1 Succeeded, w=1\",\"Add (2,5)=5 Succeeded, w=6\",\"Add (2,4)=9 Succeeded, w=15\",\"Add (2,3)=10 Succeeded, w=25\",\"Add (1,5)=12 Succeeded, w=37\",\"Add (3,5)=23 Failed, w=37\",\"Add (4,5)=34 Failed, w=37\",\"Add (0,2)=37 Failed, w=37\",\"Add (1,4)=46 Failed, w=37\",\"Add (0,5)=59 Failed, w=37\",\"Add (1,2)=64 Failed, w=37\",\"Add (3,4)=69 Failed, w=37\",\"Add (0,3)=74 Failed, w=37\",\"Add (1,3)=88 Failed, w=37\"],\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,37],[0,3,74],[0,4,1],[0,5,59],[1,2,64],[1,3,88],[1,4,46],[1,5,12],[2,3,10],[2,4,9],[2,5,5],[3,4,69],[3,5,23],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(2,5)=5,(2,4)=9,(2,3)=10,(1,5)=12,(3,5)=23,(4,5)=34,(0,2)=37,(1,4)=46,(0,5)=59,(1,2)=64,(3,4)=69,(0,3)=74,(1,3)=88]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Find(2)=2, Find(5)=5, Add (2,5)=5 Succeeded, w=6\",\"Find(2)=2, Find(4)=0, Add (2,4)=9 Succeeded, w=15\",\"Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=25\",\"Find(1)=1, Find(5)=2, Add (1,5)=12 Succeeded, w=37\",\"Find(3)=2, Find(5)=2, Add (3,5)=23 Failed, w=37\",\"Find(4)=2, Find(5)=2, Add (4,5)=34 Failed, w=37\",\"Find(0)=2, Find(2)=2, Add (0,2)=37 Failed, w=37\",\"Find(1)=2, Find(4)=2, Add (1,4)=46 Failed, w=37\",\"Find(0)=2, Find(5)=2, Add (0,5)=59 Failed, w=37\",\"Find(1)=2, Find(2)=2, Add (1,2)=64 Failed, w=37\",\"Find(3)=2, Find(4)=2, Add (3,4)=69 Failed, w=37\",\"Find(0)=2, Find(3)=2, Add (0,3)=74 Failed, w=37\",\"Find(1)=2, Find(3)=2, Add (1,3)=88 Failed, w=37\"],\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,37],[0,3,74],[0,4,1],[0,5,59],[1,2,64],[1,3,88],[1,4,46],[1,5,12],[2,3,10],[2,4,9],[2,5,5],[3,4,69],[3,5,23],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(2,5)=5,(2,4)=9,(2,3)=10,(1,5)=12,(3,5)=23,(4,5)=34,(0,2)=37,(1,4)=46,(0,5)=59,(1,2)=64,(3,4)=69,(0,3)=74,(1,3)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=5 Succeeded, w=6\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 0, 5: 2}, Find(2)=2, Find(4)=0, Add (2,4)=9 Succeeded, w=15\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 0, 5: 2}, Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=25\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=12 Succeeded, w=37\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=23 Failed, w=37\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=34 Failed, w=37\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=37 Failed, w=37\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=46 Failed, w=37\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=59 Failed, w=37\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=64 Failed, w=37\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=69 Failed, w=37\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=74 Failed, w=37\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=88 Failed, w=37\"],\"Answer\":37}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,80],[1,2,33],[1,4,4],[1,5,24],[2,3,41],[2,4,45],[2,5,6],[3,4,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[1,2,33],[1,4,4],[1,5,24],[2,3,41],[2,4,45],[2,5,6],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[1,2,33],[1,4,4],[1,5,24],[2,3,41],[2,4,45],[2,5,6],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,5)\",\"Add (1,5)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[1,2,33],[1,4,4],[1,5,24],[2,3,41],[2,4,45],[2,5,6],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=4, w=4\",\"Add (2,5)=6, w=10\",\"Add (1,5)=24, w=34\",\"Add (2,3)=41, w=75\",\"Add (0,1)=80, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[1,2,33],[1,4,4],[1,5,24],[2,3,41],[2,4,45],[2,5,6],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=4 Succeeded, w=4\",\"Add (2,5)=6 Succeeded, w=10\",\"Add (1,5)=24 Succeeded, w=34\",\"Add (1,2)=33 Failed, w=34\",\"Add (2,3)=41 Succeeded, w=75\",\"Add (2,4)=45 Failed, w=75\",\"Add (0,1)=80 Succeeded, w=155\",\"Add (3,4)=99 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[1,2,33],[1,4,4],[1,5,24],[2,3,41],[2,4,45],[2,5,6],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=4,(2,5)=6,(1,5)=24,(1,2)=33,(2,3)=41,(2,4)=45,(0,1)=80,(3,4)=99]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=4\",\"Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=10\",\"Find(1)=1, Find(5)=2, Add (1,5)=24 Succeeded, w=34\",\"Find(1)=1, Find(2)=1, Add (1,2)=33 Failed, w=34\",\"Find(2)=1, Find(3)=3, Add (2,3)=41 Succeeded, w=75\",\"Find(2)=1, Find(4)=1, Add (2,4)=45 Failed, w=75\",\"Find(0)=0, Find(1)=1, Add (0,1)=80 Succeeded, w=155\",\"Find(3)=1, Find(4)=1, Add (3,4)=99 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[1,2,33],[1,4,4],[1,5,24],[2,3,41],[2,4,45],[2,5,6],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=4,(2,5)=6,(1,5)=24,(1,2)=33,(2,3)=41,(2,4)=45,(0,1)=80,(3,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=24 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 2}, Find(1)=1, Find(2)=1, Add (1,2)=33 Failed, w=34\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2}, Find(2)=1, Find(3)=3, Add (2,3)=41 Succeeded, w=75\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2}, Find(2)=1, Find(4)=1, Add (2,4)=45 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2}, Find(0)=0, Find(1)=1, Add (0,1)=80 Succeeded, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2}, Find(3)=1, Find(4)=1, Add (3,4)=99 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,100],[0,2,47],[0,3,8],[0,4,94],[1,2,73],[1,3,21],[1,4,100],[2,3,2],[2,4,64],[3,4,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,47],[0,3,8],[0,4,94],[1,2,73],[1,3,21],[1,4,100],[2,3,2],[2,4,64],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,47],[0,3,8],[0,4,94],[1,2,73],[1,3,21],[1,4,100],[2,3,2],[2,4,64],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (1,3)\",\"Add (3,4)\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,47],[0,3,8],[0,4,94],[1,2,73],[1,3,21],[1,4,100],[2,3,2],[2,4,64],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2, w=2\",\"Add (0,3)=8, w=10\",\"Add (1,3)=21, w=31\",\"Add (3,4)=48, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,47],[0,3,8],[0,4,94],[1,2,73],[1,3,21],[1,4,100],[2,3,2],[2,4,64],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2 Succeeded, w=2\",\"Add (0,3)=8 Succeeded, w=10\",\"Add (1,3)=21 Succeeded, w=31\",\"Add (0,2)=47 Failed, w=31\",\"Add (3,4)=48 Succeeded, w=79\",\"Add (2,4)=64 Failed, w=79\",\"Add (1,2)=73 Failed, w=79\",\"Add (0,4)=94 Failed, w=79\",\"Add (0,1)=100 Failed, w=79\",\"Add (1,4)=100 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,47],[0,3,8],[0,4,94],[1,2,73],[1,3,21],[1,4,100],[2,3,2],[2,4,64],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(0,3)=8,(1,3)=21,(0,2)=47,(3,4)=48,(2,4)=64,(1,2)=73,(0,4)=94,(0,1)=100,(1,4)=100]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=2, Add (0,3)=8 Succeeded, w=10\",\"Find(1)=1, Find(3)=2, Add (1,3)=21 Succeeded, w=31\",\"Find(0)=2, Find(2)=2, Add (0,2)=47 Failed, w=31\",\"Find(3)=2, Find(4)=4, Add (3,4)=48 Succeeded, w=79\",\"Find(2)=2, Find(4)=2, Add (2,4)=64 Failed, w=79\",\"Find(1)=2, Find(2)=2, Add (1,2)=73 Failed, w=79\",\"Find(0)=2, Find(4)=2, Add (0,4)=94 Failed, w=79\",\"Find(0)=2, Find(1)=2, Add (0,1)=100 Failed, w=79\",\"Find(1)=2, Find(4)=2, Add (1,4)=100 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,47],[0,3,8],[0,4,94],[1,2,73],[1,3,21],[1,4,100],[2,3,2],[2,4,64],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(0,3)=8,(1,3)=21,(0,2)=47,(3,4)=48,(2,4)=64,(1,2)=73,(0,4)=94,(0,1)=100,(1,4)=100]\",\"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(3)=2, Add (0,3)=8 Succeeded, w=10\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4}, Find(1)=1, Find(3)=2, Add (1,3)=21 Succeeded, w=31\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4}, Find(0)=2, Find(2)=2, Add (0,2)=47 Failed, w=31\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=4, Add (3,4)=48 Succeeded, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=64 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=73 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=94 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=100 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=100 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,25],[0,3,83],[0,4,59],[0,5,42],[0,6,39],[1,2,97],[1,5,38],[1,6,4],[2,3,46],[2,6,71],[2,7,60],[3,4,74],[3,5,54],[3,7,11],[4,5,12],[4,6,69],[4,7,91],[5,6,9],[5,7,2],[6,7,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,3,83],[0,4,59],[0,5,42],[0,6,39],[1,2,97],[1,5,38],[1,6,4],[2,3,46],[2,6,71],[2,7,60],[3,4,74],[3,5,54],[3,7,11],[4,5,12],[4,6,69],[4,7,91],[5,6,9],[5,7,2],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,3,83],[0,4,59],[0,5,42],[0,6,39],[1,2,97],[1,5,38],[1,6,4],[2,3,46],[2,6,71],[2,7,60],[3,4,74],[3,5,54],[3,7,11],[4,5,12],[4,6,69],[4,7,91],[5,6,9],[5,7,2],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)\",\"Add (1,6)\",\"Add (5,6)\",\"Add (3,7)\",\"Add (4,5)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,3,83],[0,4,59],[0,5,42],[0,6,39],[1,2,97],[1,5,38],[1,6,4],[2,3,46],[2,6,71],[2,7,60],[3,4,74],[3,5,54],[3,7,11],[4,5,12],[4,6,69],[4,7,91],[5,6,9],[5,7,2],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=2, w=2\",\"Add (1,6)=4, w=6\",\"Add (5,6)=9, w=15\",\"Add (3,7)=11, w=26\",\"Add (4,5)=12, w=38\",\"Add (0,1)=25, w=63\",\"Add (2,3)=46, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,3,83],[0,4,59],[0,5,42],[0,6,39],[1,2,97],[1,5,38],[1,6,4],[2,3,46],[2,6,71],[2,7,60],[3,4,74],[3,5,54],[3,7,11],[4,5,12],[4,6,69],[4,7,91],[5,6,9],[5,7,2],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=2 Succeeded, w=2\",\"Add (1,6)=4 Succeeded, w=6\",\"Add (5,6)=9 Succeeded, w=15\",\"Add (3,7)=11 Succeeded, w=26\",\"Add (4,5)=12 Succeeded, w=38\",\"Add (0,1)=25 Succeeded, w=63\",\"Add (6,7)=25 Failed, w=63\",\"Add (1,5)=38 Failed, w=63\",\"Add (0,6)=39 Failed, w=63\",\"Add (0,5)=42 Failed, w=63\",\"Add (2,3)=46 Succeeded, w=109\",\"Add (3,5)=54 Failed, w=109\",\"Add (0,4)=59 Failed, w=109\",\"Add (2,7)=60 Failed, w=109\",\"Add (4,6)=69 Failed, w=109\",\"Add (2,6)=71 Failed, w=109\",\"Add (3,4)=74 Failed, w=109\",\"Add (0,3)=83 Failed, w=109\",\"Add (4,7)=91 Failed, w=109\",\"Add (1,2)=97 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,3,83],[0,4,59],[0,5,42],[0,6,39],[1,2,97],[1,5,38],[1,6,4],[2,3,46],[2,6,71],[2,7,60],[3,4,74],[3,5,54],[3,7,11],[4,5,12],[4,6,69],[4,7,91],[5,6,9],[5,7,2],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=2,(1,6)=4,(5,6)=9,(3,7)=11,(4,5)=12,(0,1)=25,(6,7)=25,(1,5)=38,(0,6)=39,(0,5)=42,(2,3)=46,(3,5)=54,(0,4)=59,(2,7)=60,(4,6)=69,(2,6)=71,(3,4)=74,(0,3)=83,(4,7)=91,(1,2)=97]\",\"Process\":[\"Find(5)=5, Find(7)=7, Add (5,7)=2 Succeeded, w=2\",\"Find(1)=1, Find(6)=6, Add (1,6)=4 Succeeded, w=6\",\"Find(5)=5, Find(6)=1, Add (5,6)=9 Succeeded, w=15\",\"Find(3)=3, Find(7)=5, Add (3,7)=11 Succeeded, w=26\",\"Find(4)=4, Find(5)=5, Add (4,5)=12 Succeeded, w=38\",\"Find(0)=0, Find(1)=5, Add (0,1)=25 Succeeded, w=63\",\"Find(6)=5, Find(7)=5, Add (6,7)=25 Failed, w=63\",\"Find(1)=5, Find(5)=5, Add (1,5)=38 Failed, w=63\",\"Find(0)=5, Find(6)=5, Add (0,6)=39 Failed, w=63\",\"Find(0)=5, Find(5)=5, Add (0,5)=42 Failed, w=63\",\"Find(2)=2, Find(3)=5, Add (2,3)=46 Succeeded, w=109\",\"Find(3)=5, Find(5)=5, Add (3,5)=54 Failed, w=109\",\"Find(0)=5, Find(4)=5, Add (0,4)=59 Failed, w=109\",\"Find(2)=5, Find(7)=5, Add (2,7)=60 Failed, w=109\",\"Find(4)=5, Find(6)=5, Add (4,6)=69 Failed, w=109\",\"Find(2)=5, Find(6)=5, Add (2,6)=71 Failed, w=109\",\"Find(3)=5, Find(4)=5, Add (3,4)=74 Failed, w=109\",\"Find(0)=5, Find(3)=5, Add (0,3)=83 Failed, w=109\",\"Find(4)=5, Find(7)=5, Add (4,7)=91 Failed, w=109\",\"Find(1)=5, Find(2)=5, Add (1,2)=97 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,3,83],[0,4,59],[0,5,42],[0,6,39],[1,2,97],[1,5,38],[1,6,4],[2,3,46],[2,6,71],[2,7,60],[3,4,74],[3,5,54],[3,7,11],[4,5,12],[4,6,69],[4,7,91],[5,6,9],[5,7,2],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=2,(1,6)=4,(5,6)=9,(3,7)=11,(4,5)=12,(0,1)=25,(6,7)=25,(1,5)=38,(0,6)=39,(0,5)=42,(2,3)=46,(3,5)=54,(0,4)=59,(2,7)=60,(4,6)=69,(2,6)=71,(3,4)=74,(0,3)=83,(4,7)=91,(1,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1, 7: 5}, Find(1)=1, Find(6)=6, Add (1,6)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1, 7: 5}, Find(5)=5, Find(6)=1, Add (5,6)=9 Succeeded, w=15\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 5, 4: 4, 5: 5, 6: 1, 7: 5}, Find(3)=3, Find(7)=5, Add (3,7)=11 Succeeded, w=26\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 1, 7: 5}, Find(4)=4, Find(5)=5, Add (4,5)=12 Succeeded, w=38\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 1, 7: 5}, Find(0)=0, Find(1)=5, Add (0,1)=25 Succeeded, w=63\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(6)=5, Find(7)=5, Add (6,7)=25 Failed, w=63\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(5)=5, Add (1,5)=38 Failed, w=63\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(6)=5, Add (0,6)=39 Failed, w=63\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(5)=5, Add (0,5)=42 Failed, w=63\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=2, Find(3)=5, Add (2,3)=46 Succeeded, w=109\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(5)=5, Add (3,5)=54 Failed, w=109\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(4)=5, Add (0,4)=59 Failed, w=109\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(7)=5, Add (2,7)=60 Failed, w=109\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=5, Find(6)=5, Add (4,6)=69 Failed, w=109\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(6)=5, Add (2,6)=71 Failed, w=109\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(4)=5, Add (3,4)=74 Failed, w=109\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(3)=5, Add (0,3)=83 Failed, w=109\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=5, Find(7)=5, Add (4,7)=91 Failed, w=109\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(2)=5, Add (1,2)=97 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,10],[0,2,98],[0,4,61],[0,5,83],[0,6,73],[0,7,94],[1,2,55],[1,3,61],[1,6,22],[1,7,12],[2,3,66],[2,4,65],[2,5,10],[2,6,37],[2,7,77],[3,4,14],[3,5,66],[3,7,85],[4,5,56],[4,6,73],[5,6,74],[5,7,61],[6,7,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,98],[0,4,61],[0,5,83],[0,6,73],[0,7,94],[1,2,55],[1,3,61],[1,6,22],[1,7,12],[2,3,66],[2,4,65],[2,5,10],[2,6,37],[2,7,77],[3,4,14],[3,5,66],[3,7,85],[4,5,56],[4,6,73],[5,6,74],[5,7,61],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,98],[0,4,61],[0,5,83],[0,6,73],[0,7,94],[1,2,55],[1,3,61],[1,6,22],[1,7,12],[2,3,66],[2,4,65],[2,5,10],[2,6,37],[2,7,77],[3,4,14],[3,5,66],[3,7,85],[4,5,56],[4,6,73],[5,6,74],[5,7,61],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,5)\",\"Add (1,7)\",\"Add (3,4)\",\"Add (1,6)\",\"Add (2,6)\",\"Add (4,5)\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,98],[0,4,61],[0,5,83],[0,6,73],[0,7,94],[1,2,55],[1,3,61],[1,6,22],[1,7,12],[2,3,66],[2,4,65],[2,5,10],[2,6,37],[2,7,77],[3,4,14],[3,5,66],[3,7,85],[4,5,56],[4,6,73],[5,6,74],[5,7,61],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=10, w=10\",\"Add (2,5)=10, w=20\",\"Add (1,7)=12, w=32\",\"Add (3,4)=14, w=46\",\"Add (1,6)=22, w=68\",\"Add (2,6)=37, w=105\",\"Add (4,5)=56, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,98],[0,4,61],[0,5,83],[0,6,73],[0,7,94],[1,2,55],[1,3,61],[1,6,22],[1,7,12],[2,3,66],[2,4,65],[2,5,10],[2,6,37],[2,7,77],[3,4,14],[3,5,66],[3,7,85],[4,5,56],[4,6,73],[5,6,74],[5,7,61],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=10 Succeeded, w=10\",\"Add (2,5)=10 Succeeded, w=20\",\"Add (1,7)=12 Succeeded, w=32\",\"Add (3,4)=14 Succeeded, w=46\",\"Add (1,6)=22 Succeeded, w=68\",\"Add (2,6)=37 Succeeded, w=105\",\"Add (1,2)=55 Failed, w=105\",\"Add (4,5)=56 Succeeded, w=161\",\"Add (0,4)=61 Failed, w=161\",\"Add (1,3)=61 Failed, w=161\",\"Add (5,7)=61 Failed, w=161\",\"Add (2,4)=65 Failed, w=161\",\"Add (2,3)=66 Failed, w=161\",\"Add (3,5)=66 Failed, w=161\",\"Add (0,6)=73 Failed, w=161\",\"Add (4,6)=73 Failed, w=161\",\"Add (5,6)=74 Failed, w=161\",\"Add (2,7)=77 Failed, w=161\",\"Add (0,5)=83 Failed, w=161\",\"Add (3,7)=85 Failed, w=161\",\"Add (6,7)=90 Failed, w=161\",\"Add (0,7)=94 Failed, w=161\",\"Add (0,2)=98 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,98],[0,4,61],[0,5,83],[0,6,73],[0,7,94],[1,2,55],[1,3,61],[1,6,22],[1,7,12],[2,3,66],[2,4,65],[2,5,10],[2,6,37],[2,7,77],[3,4,14],[3,5,66],[3,7,85],[4,5,56],[4,6,73],[5,6,74],[5,7,61],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=10,(2,5)=10,(1,7)=12,(3,4)=14,(1,6)=22,(2,6)=37,(1,2)=55,(4,5)=56,(0,4)=61,(1,3)=61,(5,7)=61,(2,4)=65,(2,3)=66,(3,5)=66,(0,6)=73,(4,6)=73,(5,6)=74,(2,7)=77,(0,5)=83,(3,7)=85,(6,7)=90,(0,7)=94,(0,2)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Find(2)=2, Find(5)=5, Add (2,5)=10 Succeeded, w=20\",\"Find(1)=0, Find(7)=7, Add (1,7)=12 Succeeded, w=32\",\"Find(3)=3, Find(4)=4, Add (3,4)=14 Succeeded, w=46\",\"Find(1)=0, Find(6)=6, Add (1,6)=22 Succeeded, w=68\",\"Find(2)=2, Find(6)=0, Add (2,6)=37 Succeeded, w=105\",\"Find(1)=2, Find(2)=2, Add (1,2)=55 Failed, w=105\",\"Find(4)=3, Find(5)=2, Add (4,5)=56 Succeeded, w=161\",\"Find(0)=2, Find(4)=2, Add (0,4)=61 Failed, w=161\",\"Find(1)=2, Find(3)=2, Add (1,3)=61 Failed, w=161\",\"Find(5)=2, Find(7)=2, Add (5,7)=61 Failed, w=161\",\"Find(2)=2, Find(4)=2, Add (2,4)=65 Failed, w=161\",\"Find(2)=2, Find(3)=2, Add (2,3)=66 Failed, w=161\",\"Find(3)=2, Find(5)=2, Add (3,5)=66 Failed, w=161\",\"Find(0)=2, Find(6)=2, Add (0,6)=73 Failed, w=161\",\"Find(4)=2, Find(6)=2, Add (4,6)=73 Failed, w=161\",\"Find(5)=2, Find(6)=2, Add (5,6)=74 Failed, w=161\",\"Find(2)=2, Find(7)=2, Add (2,7)=77 Failed, w=161\",\"Find(0)=2, Find(5)=2, Add (0,5)=83 Failed, w=161\",\"Find(3)=2, Find(7)=2, Add (3,7)=85 Failed, w=161\",\"Find(6)=2, Find(7)=2, Add (6,7)=90 Failed, w=161\",\"Find(0)=2, Find(7)=2, Add (0,7)=94 Failed, w=161\",\"Find(0)=2, Find(2)=2, Add (0,2)=98 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,98],[0,4,61],[0,5,83],[0,6,73],[0,7,94],[1,2,55],[1,3,61],[1,6,22],[1,7,12],[2,3,66],[2,4,65],[2,5,10],[2,6,37],[2,7,77],[3,4,14],[3,5,66],[3,7,85],[4,5,56],[4,6,73],[5,6,74],[5,7,61],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=10,(2,5)=10,(1,7)=12,(3,4)=14,(1,6)=22,(2,6)=37,(1,2)=55,(4,5)=56,(0,4)=61,(1,3)=61,(5,7)=61,(2,4)=65,(2,3)=66,(3,5)=66,(0,6)=73,(4,6)=73,(5,6)=74,(2,7)=77,(0,5)=83,(3,7)=85,(6,7)=90,(0,7)=94,(0,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=10 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 0}, Find(1)=0, Find(7)=7, Add (1,7)=12 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 2, 6: 6, 7: 0}, Find(3)=3, Find(4)=4, Add (3,4)=14 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 2, 6: 0, 7: 0}, Find(1)=0, Find(6)=6, Add (1,6)=22 Succeeded, w=68\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 3, 4: 3, 5: 2, 6: 0, 7: 0}, Find(2)=2, Find(6)=0, Add (2,6)=37 Succeeded, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 3, 5: 2, 6: 0, 7: 0}, Find(1)=2, Find(2)=2, Add (1,2)=55 Failed, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 0, 7: 0}, Find(4)=3, Find(5)=2, Add (4,5)=56 Succeeded, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 0}, Find(0)=2, Find(4)=2, Add (0,4)=61 Failed, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 0}, Find(1)=2, Find(3)=2, Add (1,3)=61 Failed, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=61 Failed, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=65 Failed, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=66 Failed, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=66 Failed, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=73 Failed, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=73 Failed, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=74 Failed, w=161\",\"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)=77 Failed, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=83 Failed, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=85 Failed, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=90 Failed, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=94 Failed, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=98 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,68],[1,3,99],[2,3,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,68],[1,3,99],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,68],[1,3,99],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,68],[1,3,99],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3, w=3\",\"Add (0,3)=68, w=71\",\"Add (1,3)=99, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,68],[1,3,99],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3 Succeeded, w=3\",\"Add (0,3)=68 Succeeded, w=71\",\"Add (1,3)=99 Succeeded, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,68],[1,3,99],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(0,3)=68,(1,3)=99]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Find(0)=0, Find(3)=2, Add (0,3)=68 Succeeded, w=71\",\"Find(1)=1, Find(3)=2, Add (1,3)=99 Succeeded, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,68],[1,3,99],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(0,3)=68,(1,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=68 Succeeded, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=99 Succeeded, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,18],[0,3,52],[0,5,17],[1,2,79],[1,3,86],[1,4,41],[2,3,3],[2,4,19],[3,4,8],[3,5,77],[4,5,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,18],[0,3,52],[0,5,17],[1,2,79],[1,3,86],[1,4,41],[2,3,3],[2,4,19],[3,4,8],[3,5,77],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,18],[0,3,52],[0,5,17],[1,2,79],[1,3,86],[1,4,41],[2,3,3],[2,4,19],[3,4,8],[3,5,77],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,4)\",\"Add (4,5)\",\"Add (0,5)\",\"Add (1,4)\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,18],[0,3,52],[0,5,17],[1,2,79],[1,3,86],[1,4,41],[2,3,3],[2,4,19],[3,4,8],[3,5,77],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3, w=3\",\"Add (3,4)=8, w=11\",\"Add (4,5)=11, w=22\",\"Add (0,5)=17, w=39\",\"Add (1,4)=41, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,18],[0,3,52],[0,5,17],[1,2,79],[1,3,86],[1,4,41],[2,3,3],[2,4,19],[3,4,8],[3,5,77],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3 Succeeded, w=3\",\"Add (3,4)=8 Succeeded, w=11\",\"Add (4,5)=11 Succeeded, w=22\",\"Add (0,5)=17 Succeeded, w=39\",\"Add (0,2)=18 Failed, w=39\",\"Add (2,4)=19 Failed, w=39\",\"Add (1,4)=41 Succeeded, w=80\",\"Add (0,3)=52 Failed, w=80\",\"Add (3,5)=77 Failed, w=80\",\"Add (1,2)=79 Failed, w=80\",\"Add (1,3)=86 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,18],[0,3,52],[0,5,17],[1,2,79],[1,3,86],[1,4,41],[2,3,3],[2,4,19],[3,4,8],[3,5,77],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(3,4)=8,(4,5)=11,(0,5)=17,(0,2)=18,(2,4)=19,(1,4)=41,(0,3)=52,(3,5)=77,(1,2)=79,(1,3)=86]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Find(3)=2, Find(4)=4, Add (3,4)=8 Succeeded, w=11\",\"Find(4)=2, Find(5)=5, Add (4,5)=11 Succeeded, w=22\",\"Find(0)=0, Find(5)=2, Add (0,5)=17 Succeeded, w=39\",\"Find(0)=2, Find(2)=2, Add (0,2)=18 Failed, w=39\",\"Find(2)=2, Find(4)=2, Add (2,4)=19 Failed, w=39\",\"Find(1)=1, Find(4)=2, Add (1,4)=41 Succeeded, w=80\",\"Find(0)=2, Find(3)=2, Add (0,3)=52 Failed, w=80\",\"Find(3)=2, Find(5)=2, Add (3,5)=77 Failed, w=80\",\"Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=80\",\"Find(1)=2, Find(3)=2, Add (1,3)=86 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,18],[0,3,52],[0,5,17],[1,2,79],[1,3,86],[1,4,41],[2,3,3],[2,4,19],[3,4,8],[3,5,77],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(3,4)=8,(4,5)=11,(0,5)=17,(0,2)=18,(2,4)=19,(1,4)=41,(0,3)=52,(3,5)=77,(1,2)=79,(1,3)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5}, Find(3)=2, Find(4)=4, Add (3,4)=8 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=5, Add (4,5)=11 Succeeded, w=22\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(5)=2, Add (0,5)=17 Succeeded, w=39\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=18 Failed, w=39\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=19 Failed, w=39\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(4)=2, Add (1,4)=41 Succeeded, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=52 Failed, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=77 Failed, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=86 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,0],[0,2,90],[0,3,34],[1,2,71],[1,3,72],[2,3,33],[2,4,93],[3,4,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,90],[0,3,34],[1,2,71],[1,3,72],[2,3,33],[2,4,93],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,90],[0,3,34],[1,2,71],[1,3,72],[2,3,33],[2,4,93],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,4)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,90],[0,3,34],[1,2,71],[1,3,72],[2,3,33],[2,4,93],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0, w=0\",\"Add (3,4)=19, w=19\",\"Add (2,3)=33, w=52\",\"Add (0,3)=34, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,90],[0,3,34],[1,2,71],[1,3,72],[2,3,33],[2,4,93],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0 Succeeded, w=0\",\"Add (3,4)=19 Succeeded, w=19\",\"Add (2,3)=33 Succeeded, w=52\",\"Add (0,3)=34 Succeeded, w=86\",\"Add (1,2)=71 Failed, w=86\",\"Add (1,3)=72 Failed, w=86\",\"Add (0,2)=90 Failed, w=86\",\"Add (2,4)=93 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,90],[0,3,34],[1,2,71],[1,3,72],[2,3,33],[2,4,93],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(3,4)=19,(2,3)=33,(0,3)=34,(1,2)=71,(1,3)=72,(0,2)=90,(2,4)=93]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Find(3)=3, Find(4)=4, Add (3,4)=19 Succeeded, w=19\",\"Find(2)=2, Find(3)=3, Add (2,3)=33 Succeeded, w=52\",\"Find(0)=0, Find(3)=3, Add (0,3)=34 Succeeded, w=86\",\"Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=86\",\"Find(1)=0, Find(3)=0, Add (1,3)=72 Failed, w=86\",\"Find(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=86\",\"Find(2)=0, Find(4)=0, Add (2,4)=93 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,90],[0,3,34],[1,2,71],[1,3,72],[2,3,33],[2,4,93],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(3,4)=19,(2,3)=33,(0,3)=34,(1,2)=71,(1,3)=72,(0,2)=90,(2,4)=93]\",\"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: 3}, Find(3)=3, Find(4)=4, Add (3,4)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(3)=3, Add (2,3)=33 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=34 Succeeded, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=0, Find(3)=0, Add (1,3)=72 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=93 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,58],[0,2,24],[0,5,29],[1,3,45],[1,4,63],[1,5,98],[2,3,82],[2,4,82],[2,5,52],[3,4,82],[3,5,8],[4,5,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,2,24],[0,5,29],[1,3,45],[1,4,63],[1,5,98],[2,3,82],[2,4,82],[2,5,52],[3,4,82],[3,5,8],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,2,24],[0,5,29],[1,3,45],[1,4,63],[1,5,98],[2,3,82],[2,4,82],[2,5,52],[3,4,82],[3,5,8],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,2)\",\"Add (4,5)\",\"Add (0,5)\",\"Add (1,3)\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,2,24],[0,5,29],[1,3,45],[1,4,63],[1,5,98],[2,3,82],[2,4,82],[2,5,52],[3,4,82],[3,5,8],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=8, w=8\",\"Add (0,2)=24, w=32\",\"Add (4,5)=27, w=59\",\"Add (0,5)=29, w=88\",\"Add (1,3)=45, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,2,24],[0,5,29],[1,3,45],[1,4,63],[1,5,98],[2,3,82],[2,4,82],[2,5,52],[3,4,82],[3,5,8],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=8 Succeeded, w=8\",\"Add (0,2)=24 Succeeded, w=32\",\"Add (4,5)=27 Succeeded, w=59\",\"Add (0,5)=29 Succeeded, w=88\",\"Add (1,3)=45 Succeeded, w=133\",\"Add (2,5)=52 Failed, w=133\",\"Add (0,1)=58 Failed, w=133\",\"Add (1,4)=63 Failed, w=133\",\"Add (2,3)=82 Failed, w=133\",\"Add (2,4)=82 Failed, w=133\",\"Add (3,4)=82 Failed, w=133\",\"Add (1,5)=98 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,2,24],[0,5,29],[1,3,45],[1,4,63],[1,5,98],[2,3,82],[2,4,82],[2,5,52],[3,4,82],[3,5,8],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=8,(0,2)=24,(4,5)=27,(0,5)=29,(1,3)=45,(2,5)=52,(0,1)=58,(1,4)=63,(2,3)=82,(2,4)=82,(3,4)=82,(1,5)=98]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=8 Succeeded, w=8\",\"Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=32\",\"Find(4)=4, Find(5)=3, Add (4,5)=27 Succeeded, w=59\",\"Find(0)=0, Find(5)=3, Add (0,5)=29 Succeeded, w=88\",\"Find(1)=1, Find(3)=0, Add (1,3)=45 Succeeded, w=133\",\"Find(2)=0, Find(5)=0, Add (2,5)=52 Failed, w=133\",\"Find(0)=0, Find(1)=0, Add (0,1)=58 Failed, w=133\",\"Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=133\",\"Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=133\",\"Find(2)=0, Find(4)=0, Add (2,4)=82 Failed, w=133\",\"Find(3)=0, Find(4)=0, Add (3,4)=82 Failed, w=133\",\"Find(1)=0, Find(5)=0, Add (1,5)=98 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,2,24],[0,5,29],[1,3,45],[1,4,63],[1,5,98],[2,3,82],[2,4,82],[2,5,52],[3,4,82],[3,5,8],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=8,(0,2)=24,(4,5)=27,(0,5)=29,(1,3)=45,(2,5)=52,(0,1)=58,(1,4)=63,(2,3)=82,(2,4)=82,(3,4)=82,(1,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3}, Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 3}, Find(4)=4, Find(5)=3, Add (4,5)=27 Succeeded, w=59\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3, 5: 3}, Find(0)=0, Find(5)=3, Add (0,5)=29 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 3}, Find(1)=1, Find(3)=0, Add (1,3)=45 Succeeded, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=52 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=58 Failed, w=133\",\"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=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=82 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=82 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=98 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,71],[0,5,41],[1,4,85],[1,6,28],[1,7,79],[2,5,1],[2,7,70],[3,4,11],[3,5,98],[3,6,90],[3,7,11],[4,5,12],[4,6,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,5,41],[1,4,85],[1,6,28],[1,7,79],[2,5,1],[2,7,70],[3,4,11],[3,5,98],[3,6,90],[3,7,11],[4,5,12],[4,6,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,5,41],[1,4,85],[1,6,28],[1,7,79],[2,5,1],[2,7,70],[3,4,11],[3,5,98],[3,6,90],[3,7,11],[4,5,12],[4,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (3,4)\",\"Add (3,7)\",\"Add (4,5)\",\"Add (1,6)\",\"Add (0,5)\",\"Add (4,6)\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,5,41],[1,4,85],[1,6,28],[1,7,79],[2,5,1],[2,7,70],[3,4,11],[3,5,98],[3,6,90],[3,7,11],[4,5,12],[4,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=1, w=1\",\"Add (3,4)=11, w=12\",\"Add (3,7)=11, w=23\",\"Add (4,5)=12, w=35\",\"Add (1,6)=28, w=63\",\"Add (0,5)=41, w=104\",\"Add (4,6)=41, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,5,41],[1,4,85],[1,6,28],[1,7,79],[2,5,1],[2,7,70],[3,4,11],[3,5,98],[3,6,90],[3,7,11],[4,5,12],[4,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=1 Succeeded, w=1\",\"Add (3,4)=11 Succeeded, w=12\",\"Add (3,7)=11 Succeeded, w=23\",\"Add (4,5)=12 Succeeded, w=35\",\"Add (1,6)=28 Succeeded, w=63\",\"Add (0,5)=41 Succeeded, w=104\",\"Add (4,6)=41 Succeeded, w=145\",\"Add (2,7)=70 Failed, w=145\",\"Add (0,1)=71 Failed, w=145\",\"Add (1,7)=79 Failed, w=145\",\"Add (1,4)=85 Failed, w=145\",\"Add (3,6)=90 Failed, w=145\",\"Add (3,5)=98 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,5,41],[1,4,85],[1,6,28],[1,7,79],[2,5,1],[2,7,70],[3,4,11],[3,5,98],[3,6,90],[3,7,11],[4,5,12],[4,6,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=1,(3,4)=11,(3,7)=11,(4,5)=12,(1,6)=28,(0,5)=41,(4,6)=41,(2,7)=70,(0,1)=71,(1,7)=79,(1,4)=85,(3,6)=90,(3,5)=98]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=1\",\"Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=12\",\"Find(3)=3, Find(7)=7, Add (3,7)=11 Succeeded, w=23\",\"Find(4)=3, Find(5)=2, Add (4,5)=12 Succeeded, w=35\",\"Find(1)=1, Find(6)=6, Add (1,6)=28 Succeeded, w=63\",\"Find(0)=0, Find(5)=3, Add (0,5)=41 Succeeded, w=104\",\"Find(4)=3, Find(6)=1, Add (4,6)=41 Succeeded, w=145\",\"Find(2)=3, Find(7)=3, Add (2,7)=70 Failed, w=145\",\"Find(0)=3, Find(1)=3, Add (0,1)=71 Failed, w=145\",\"Find(1)=3, Find(7)=3, Add (1,7)=79 Failed, w=145\",\"Find(1)=3, Find(4)=3, Add (1,4)=85 Failed, w=145\",\"Find(3)=3, Find(6)=3, Add (3,6)=90 Failed, w=145\",\"Find(3)=3, Find(5)=3, Add (3,5)=98 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,5,41],[1,4,85],[1,6,28],[1,7,79],[2,5,1],[2,7,70],[3,4,11],[3,5,98],[3,6,90],[3,7,11],[4,5,12],[4,6,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=1,(3,4)=11,(3,7)=11,(4,5)=12,(1,6)=28,(0,5)=41,(4,6)=41,(2,7)=70,(0,1)=71,(1,7)=79,(1,4)=85,(3,6)=90,(3,5)=98]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=11 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 2, 6: 6, 7: 3}, Find(4)=3, Find(5)=2, Add (4,5)=12 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 2, 6: 1, 7: 3}, Find(1)=1, Find(6)=6, Add (1,6)=28 Succeeded, w=63\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(0)=0, Find(5)=3, Add (0,5)=41 Succeeded, w=104\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(4)=3, Find(6)=1, Add (4,6)=41 Succeeded, w=145\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=70 Failed, w=145\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(0)=3, Find(1)=3, Add (0,1)=71 Failed, w=145\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=79 Failed, w=145\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=85 Failed, w=145\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(6)=3, Add (3,6)=90 Failed, w=145\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(5)=3, Add (3,5)=98 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,4],[0,2,75],[0,3,83],[0,4,78],[0,5,67],[1,2,25],[1,3,55],[1,4,3],[1,5,81],[2,3,82],[2,4,61],[2,5,72],[3,5,67],[4,5,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,75],[0,3,83],[0,4,78],[0,5,67],[1,2,25],[1,3,55],[1,4,3],[1,5,81],[2,3,82],[2,4,61],[2,5,72],[3,5,67],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,75],[0,3,83],[0,4,78],[0,5,67],[1,2,25],[1,3,55],[1,4,3],[1,5,81],[2,3,82],[2,4,61],[2,5,72],[3,5,67],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,1)\",\"Add (4,5)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,75],[0,3,83],[0,4,78],[0,5,67],[1,2,25],[1,3,55],[1,4,3],[1,5,81],[2,3,82],[2,4,61],[2,5,72],[3,5,67],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3, w=3\",\"Add (0,1)=4, w=7\",\"Add (4,5)=5, w=12\",\"Add (1,2)=25, w=37\",\"Add (1,3)=55, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,75],[0,3,83],[0,4,78],[0,5,67],[1,2,25],[1,3,55],[1,4,3],[1,5,81],[2,3,82],[2,4,61],[2,5,72],[3,5,67],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3 Succeeded, w=3\",\"Add (0,1)=4 Succeeded, w=7\",\"Add (4,5)=5 Succeeded, w=12\",\"Add (1,2)=25 Succeeded, w=37\",\"Add (1,3)=55 Succeeded, w=92\",\"Add (2,4)=61 Failed, w=92\",\"Add (0,5)=67 Failed, w=92\",\"Add (3,5)=67 Failed, w=92\",\"Add (2,5)=72 Failed, w=92\",\"Add (0,2)=75 Failed, w=92\",\"Add (0,4)=78 Failed, w=92\",\"Add (1,5)=81 Failed, w=92\",\"Add (2,3)=82 Failed, w=92\",\"Add (0,3)=83 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,75],[0,3,83],[0,4,78],[0,5,67],[1,2,25],[1,3,55],[1,4,3],[1,5,81],[2,3,82],[2,4,61],[2,5,72],[3,5,67],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(0,1)=4,(4,5)=5,(1,2)=25,(1,3)=55,(2,4)=61,(0,5)=67,(3,5)=67,(2,5)=72,(0,2)=75,(0,4)=78,(1,5)=81,(2,3)=82,(0,3)=83]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=7\",\"Find(4)=1, Find(5)=5, Add (4,5)=5 Succeeded, w=12\",\"Find(1)=1, Find(2)=2, Add (1,2)=25 Succeeded, w=37\",\"Find(1)=1, Find(3)=3, Add (1,3)=55 Succeeded, w=92\",\"Find(2)=1, Find(4)=1, Add (2,4)=61 Failed, w=92\",\"Find(0)=1, Find(5)=1, Add (0,5)=67 Failed, w=92\",\"Find(3)=1, Find(5)=1, Add (3,5)=67 Failed, w=92\",\"Find(2)=1, Find(5)=1, Add (2,5)=72 Failed, w=92\",\"Find(0)=1, Find(2)=1, Add (0,2)=75 Failed, w=92\",\"Find(0)=1, Find(4)=1, Add (0,4)=78 Failed, w=92\",\"Find(1)=1, Find(5)=1, Add (1,5)=81 Failed, w=92\",\"Find(2)=1, Find(3)=1, Add (2,3)=82 Failed, w=92\",\"Find(0)=1, Find(3)=1, Add (0,3)=83 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,75],[0,3,83],[0,4,78],[0,5,67],[1,2,25],[1,3,55],[1,4,3],[1,5,81],[2,3,82],[2,4,61],[2,5,72],[3,5,67],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(0,1)=4,(4,5)=5,(1,2)=25,(1,3)=55,(2,4)=61,(0,5)=67,(3,5)=67,(2,5)=72,(0,2)=75,(0,4)=78,(1,5)=81,(2,3)=82,(0,3)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=7\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(4)=1, Find(5)=5, Add (4,5)=5 Succeeded, w=12\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(1)=1, Find(2)=2, Add (1,2)=25 Succeeded, w=37\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=3, Add (1,3)=55 Succeeded, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=61 Failed, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=67 Failed, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=67 Failed, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=72 Failed, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=75 Failed, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=78 Failed, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=81 Failed, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=82 Failed, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=83 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,55],[0,3,95],[0,4,55],[0,6,89],[1,2,27],[1,4,50],[1,5,4],[1,6,84],[2,3,66],[2,4,28],[3,6,14],[4,5,40],[4,6,93]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,55],[0,3,95],[0,4,55],[0,6,89],[1,2,27],[1,4,50],[1,5,4],[1,6,84],[2,3,66],[2,4,28],[3,6,14],[4,5,40],[4,6,93]]}",
"role": "user"
},
{
"content": "{\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,55],[0,3,95],[0,4,55],[0,6,89],[1,2,27],[1,4,50],[1,5,4],[1,6,84],[2,3,66],[2,4,28],[3,6,14],[4,5,40],[4,6,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (3,6)\",\"Add (1,2)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,55],[0,3,95],[0,4,55],[0,6,89],[1,2,27],[1,4,50],[1,5,4],[1,6,84],[2,3,66],[2,4,28],[3,6,14],[4,5,40],[4,6,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=4, w=4\",\"Add (3,6)=14, w=18\",\"Add (1,2)=27, w=45\",\"Add (2,4)=28, w=73\",\"Add (0,2)=55, w=128\",\"Add (2,3)=66, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,55],[0,3,95],[0,4,55],[0,6,89],[1,2,27],[1,4,50],[1,5,4],[1,6,84],[2,3,66],[2,4,28],[3,6,14],[4,5,40],[4,6,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=4 Succeeded, w=4\",\"Add (3,6)=14 Succeeded, w=18\",\"Add (1,2)=27 Succeeded, w=45\",\"Add (2,4)=28 Succeeded, w=73\",\"Add (4,5)=40 Failed, w=73\",\"Add (1,4)=50 Failed, w=73\",\"Add (0,2)=55 Succeeded, w=128\",\"Add (0,4)=55 Failed, w=128\",\"Add (2,3)=66 Succeeded, w=194\",\"Add (1,6)=84 Failed, w=194\",\"Add (0,6)=89 Failed, w=194\",\"Add (4,6)=93 Failed, w=194\",\"Add (0,3)=95 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,55],[0,3,95],[0,4,55],[0,6,89],[1,2,27],[1,4,50],[1,5,4],[1,6,84],[2,3,66],[2,4,28],[3,6,14],[4,5,40],[4,6,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=4,(3,6)=14,(1,2)=27,(2,4)=28,(4,5)=40,(1,4)=50,(0,2)=55,(0,4)=55,(2,3)=66,(1,6)=84,(0,6)=89,(4,6)=93,(0,3)=95]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=4 Succeeded, w=4\",\"Find(3)=3, Find(6)=6, Add (3,6)=14 Succeeded, w=18\",\"Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=45\",\"Find(2)=1, Find(4)=4, Add (2,4)=28 Succeeded, w=73\",\"Find(4)=1, Find(5)=1, Add (4,5)=40 Failed, w=73\",\"Find(1)=1, Find(4)=1, Add (1,4)=50 Failed, w=73\",\"Find(0)=0, Find(2)=1, Add (0,2)=55 Succeeded, w=128\",\"Find(0)=1, Find(4)=1, Add (0,4)=55 Failed, w=128\",\"Find(2)=1, Find(3)=3, Add (2,3)=66 Succeeded, w=194\",\"Find(1)=1, Find(6)=1, Add (1,6)=84 Failed, w=194\",\"Find(0)=1, Find(6)=1, Add (0,6)=89 Failed, w=194\",\"Find(4)=1, Find(6)=1, Add (4,6)=93 Failed, w=194\",\"Find(0)=1, Find(3)=1, Add (0,3)=95 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,55],[0,3,95],[0,4,55],[0,6,89],[1,2,27],[1,4,50],[1,5,4],[1,6,84],[2,3,66],[2,4,28],[3,6,14],[4,5,40],[4,6,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=4,(3,6)=14,(1,2)=27,(2,4)=28,(4,5)=40,(1,4)=50,(0,2)=55,(0,4)=55,(2,3)=66,(1,6)=84,(0,6)=89,(4,6)=93,(0,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=14 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 3}, Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 3}, Find(2)=1, Find(4)=4, Add (2,4)=28 Succeeded, w=73\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 3}, Find(4)=1, Find(5)=1, Add (4,5)=40 Failed, w=73\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 3}, Find(1)=1, Find(4)=1, Add (1,4)=50 Failed, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 3}, Find(0)=0, Find(2)=1, Add (0,2)=55 Succeeded, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 3}, Find(0)=1, Find(4)=1, Add (0,4)=55 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(2)=1, Find(3)=3, Add (2,3)=66 Succeeded, w=194\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=84 Failed, w=194\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=89 Failed, w=194\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=93 Failed, w=194\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=95 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,64],[0,5,45],[1,2,80],[1,3,56],[1,4,45],[1,5,71],[2,3,79],[3,4,89],[3,5,79],[4,5,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,64],[0,5,45],[1,2,80],[1,3,56],[1,4,45],[1,5,71],[2,3,79],[3,4,89],[3,5,79],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":270}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,64],[0,5,45],[1,2,80],[1,3,56],[1,4,45],[1,5,71],[2,3,79],[3,4,89],[3,5,79],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,4)\",\"Add (4,5)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":270}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,64],[0,5,45],[1,2,80],[1,3,56],[1,4,45],[1,5,71],[2,3,79],[3,4,89],[3,5,79],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=45, w=45\",\"Add (1,4)=45, w=90\",\"Add (4,5)=45, w=135\",\"Add (1,3)=56, w=191\",\"Add (2,3)=79, w=270\"],\"Answer\":270}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,64],[0,5,45],[1,2,80],[1,3,56],[1,4,45],[1,5,71],[2,3,79],[3,4,89],[3,5,79],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=45 Succeeded, w=45\",\"Add (1,4)=45 Succeeded, w=90\",\"Add (4,5)=45 Succeeded, w=135\",\"Add (1,3)=56 Succeeded, w=191\",\"Add (0,1)=64 Failed, w=191\",\"Add (1,5)=71 Failed, w=191\",\"Add (2,3)=79 Succeeded, w=270\",\"Add (3,5)=79 Failed, w=270\",\"Add (1,2)=80 Failed, w=270\",\"Add (3,4)=89 Failed, w=270\"],\"Answer\":270}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,64],[0,5,45],[1,2,80],[1,3,56],[1,4,45],[1,5,71],[2,3,79],[3,4,89],[3,5,79],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=45,(1,4)=45,(4,5)=45,(1,3)=56,(0,1)=64,(1,5)=71,(2,3)=79,(3,5)=79,(1,2)=80,(3,4)=89]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=45 Succeeded, w=45\",\"Find(1)=1, Find(4)=4, Add (1,4)=45 Succeeded, w=90\",\"Find(4)=1, Find(5)=0, Add (4,5)=45 Succeeded, w=135\",\"Find(1)=1, Find(3)=3, Add (1,3)=56 Succeeded, w=191\",\"Find(0)=1, Find(1)=1, Add (0,1)=64 Failed, w=191\",\"Find(1)=1, Find(5)=1, Add (1,5)=71 Failed, w=191\",\"Find(2)=2, Find(3)=1, Add (2,3)=79 Succeeded, w=270\",\"Find(3)=1, Find(5)=1, Add (3,5)=79 Failed, w=270\",\"Find(1)=1, Find(2)=1, Add (1,2)=80 Failed, w=270\",\"Find(3)=1, Find(4)=1, Add (3,4)=89 Failed, w=270\"],\"Answer\":270}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,64],[0,5,45],[1,2,80],[1,3,56],[1,4,45],[1,5,71],[2,3,79],[3,4,89],[3,5,79],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=45,(1,4)=45,(4,5)=45,(1,3)=56,(0,1)=64,(1,5)=71,(2,3)=79,(3,5)=79,(1,2)=80,(3,4)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=45 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0}, Find(1)=1, Find(4)=4, Add (1,4)=45 Succeeded, w=90\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0}, Find(4)=1, Find(5)=0, Add (4,5)=45 Succeeded, w=135\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 0}, Find(1)=1, Find(3)=3, Add (1,3)=56 Succeeded, w=191\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 0}, Find(0)=1, Find(1)=1, Add (0,1)=64 Failed, w=191\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=71 Failed, w=191\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=2, Find(3)=1, Add (2,3)=79 Succeeded, w=270\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=79 Failed, w=270\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=80 Failed, w=270\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=89 Failed, w=270\"],\"Answer\":270}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,54],[0,3,28],[0,4,5],[0,5,55],[0,6,77],[1,2,90],[1,3,22],[1,4,59],[1,5,38],[1,7,66],[3,4,39],[3,6,51],[3,7,81],[4,5,24],[4,6,64],[5,6,58],[5,7,42],[6,7,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,54],[0,3,28],[0,4,5],[0,5,55],[0,6,77],[1,2,90],[1,3,22],[1,4,59],[1,5,38],[1,7,66],[3,4,39],[3,6,51],[3,7,81],[4,5,24],[4,6,64],[5,6,58],[5,7,42],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,54],[0,3,28],[0,4,5],[0,5,55],[0,6,77],[1,2,90],[1,3,22],[1,4,59],[1,5,38],[1,7,66],[3,4,39],[3,6,51],[3,7,81],[4,5,24],[4,6,64],[5,6,58],[5,7,42],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,3)\",\"Add (4,5)\",\"Add (0,3)\",\"Add (5,7)\",\"Add (3,6)\",\"Add (0,2)\"],\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,54],[0,3,28],[0,4,5],[0,5,55],[0,6,77],[1,2,90],[1,3,22],[1,4,59],[1,5,38],[1,7,66],[3,4,39],[3,6,51],[3,7,81],[4,5,24],[4,6,64],[5,6,58],[5,7,42],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=5, w=5\",\"Add (1,3)=22, w=27\",\"Add (4,5)=24, w=51\",\"Add (0,3)=28, w=79\",\"Add (5,7)=42, w=121\",\"Add (3,6)=51, w=172\",\"Add (0,2)=54, w=226\"],\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,54],[0,3,28],[0,4,5],[0,5,55],[0,6,77],[1,2,90],[1,3,22],[1,4,59],[1,5,38],[1,7,66],[3,4,39],[3,6,51],[3,7,81],[4,5,24],[4,6,64],[5,6,58],[5,7,42],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=5 Succeeded, w=5\",\"Add (1,3)=22 Succeeded, w=27\",\"Add (4,5)=24 Succeeded, w=51\",\"Add (0,3)=28 Succeeded, w=79\",\"Add (1,5)=38 Failed, w=79\",\"Add (3,4)=39 Failed, w=79\",\"Add (5,7)=42 Succeeded, w=121\",\"Add (3,6)=51 Succeeded, w=172\",\"Add (0,2)=54 Succeeded, w=226\",\"Add (0,5)=55 Failed, w=226\",\"Add (5,6)=58 Failed, w=226\",\"Add (1,4)=59 Failed, w=226\",\"Add (4,6)=64 Failed, w=226\",\"Add (1,7)=66 Failed, w=226\",\"Add (6,7)=67 Failed, w=226\",\"Add (0,6)=77 Failed, w=226\",\"Add (3,7)=81 Failed, w=226\",\"Add (1,2)=90 Failed, w=226\"],\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,54],[0,3,28],[0,4,5],[0,5,55],[0,6,77],[1,2,90],[1,3,22],[1,4,59],[1,5,38],[1,7,66],[3,4,39],[3,6,51],[3,7,81],[4,5,24],[4,6,64],[5,6,58],[5,7,42],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=5,(1,3)=22,(4,5)=24,(0,3)=28,(1,5)=38,(3,4)=39,(5,7)=42,(3,6)=51,(0,2)=54,(0,5)=55,(5,6)=58,(1,4)=59,(4,6)=64,(1,7)=66,(6,7)=67,(0,6)=77,(3,7)=81,(1,2)=90]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Find(1)=1, Find(3)=3, Add (1,3)=22 Succeeded, w=27\",\"Find(4)=0, Find(5)=5, Add (4,5)=24 Succeeded, w=51\",\"Find(0)=0, Find(3)=1, Add (0,3)=28 Succeeded, w=79\",\"Find(1)=0, Find(5)=0, Add (1,5)=38 Failed, w=79\",\"Find(3)=0, Find(4)=0, Add (3,4)=39 Failed, w=79\",\"Find(5)=0, Find(7)=7, Add (5,7)=42 Succeeded, w=121\",\"Find(3)=0, Find(6)=6, Add (3,6)=51 Succeeded, w=172\",\"Find(0)=0, Find(2)=2, Add (0,2)=54 Succeeded, w=226\",\"Find(0)=0, Find(5)=0, Add (0,5)=55 Failed, w=226\",\"Find(5)=0, Find(6)=0, Add (5,6)=58 Failed, w=226\",\"Find(1)=0, Find(4)=0, Add (1,4)=59 Failed, w=226\",\"Find(4)=0, Find(6)=0, Add (4,6)=64 Failed, w=226\",\"Find(1)=0, Find(7)=0, Add (1,7)=66 Failed, w=226\",\"Find(6)=0, Find(7)=0, Add (6,7)=67 Failed, w=226\",\"Find(0)=0, Find(6)=0, Add (0,6)=77 Failed, w=226\",\"Find(3)=0, Find(7)=0, Add (3,7)=81 Failed, w=226\",\"Find(1)=0, Find(2)=0, Add (1,2)=90 Failed, w=226\"],\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,54],[0,3,28],[0,4,5],[0,5,55],[0,6,77],[1,2,90],[1,3,22],[1,4,59],[1,5,38],[1,7,66],[3,4,39],[3,6,51],[3,7,81],[4,5,24],[4,6,64],[5,6,58],[5,7,42],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=5,(1,3)=22,(4,5)=24,(0,3)=28,(1,5)=38,(3,4)=39,(5,7)=42,(3,6)=51,(0,2)=54,(0,5)=55,(5,6)=58,(1,4)=59,(4,6)=64,(1,7)=66,(6,7)=67,(0,6)=77,(3,7)=81,(1,2)=90]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=22 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 0, 6: 6, 7: 7}, Find(4)=0, Find(5)=5, Add (4,5)=24 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(3)=1, Add (0,3)=28 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0, 5: 0, 6: 6, 7: 7}, Find(1)=0, Find(5)=0, Add (1,5)=38 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(3)=0, Find(4)=0, Add (3,4)=39 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(5)=0, Find(7)=7, Add (5,7)=42 Succeeded, w=121\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=6, Add (3,6)=51 Succeeded, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=2, Add (0,2)=54 Succeeded, w=226\",\"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)=55 Failed, w=226\",\"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)=58 Failed, w=226\",\"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)=59 Failed, w=226\",\"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)=64 Failed, w=226\",\"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)=66 Failed, w=226\",\"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)=67 Failed, w=226\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=77 Failed, w=226\",\"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)=81 Failed, w=226\",\"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)=90 Failed, w=226\"],\"Answer\":226}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,74],[0,3,100],[1,2,26],[1,3,43],[1,4,92],[2,4,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,3,100],[1,2,26],[1,3,43],[1,4,92],[2,4,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,3,100],[1,2,26],[1,3,43],[1,4,92],[2,4,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (0,1)\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,3,100],[1,2,26],[1,3,43],[1,4,92],[2,4,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=26, w=26\",\"Add (1,3)=43, w=69\",\"Add (2,4)=51, w=120\",\"Add (0,1)=74, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,3,100],[1,2,26],[1,3,43],[1,4,92],[2,4,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=26 Succeeded, w=26\",\"Add (1,3)=43 Succeeded, w=69\",\"Add (2,4)=51 Succeeded, w=120\",\"Add (0,1)=74 Succeeded, w=194\",\"Add (1,4)=92 Failed, w=194\",\"Add (0,3)=100 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,3,100],[1,2,26],[1,3,43],[1,4,92],[2,4,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=26,(1,3)=43,(2,4)=51,(0,1)=74,(1,4)=92,(0,3)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=26\",\"Find(1)=1, Find(3)=3, Add (1,3)=43 Succeeded, w=69\",\"Find(2)=1, Find(4)=4, Add (2,4)=51 Succeeded, w=120\",\"Find(0)=0, Find(1)=1, Add (0,1)=74 Succeeded, w=194\",\"Find(1)=1, Find(4)=1, Add (1,4)=92 Failed, w=194\",\"Find(0)=1, Find(3)=1, Add (0,3)=100 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,3,100],[1,2,26],[1,3,43],[1,4,92],[2,4,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=26,(1,3)=43,(2,4)=51,(0,1)=74,(1,4)=92,(0,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=43 Succeeded, w=69\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=51 Succeeded, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=74 Succeeded, w=194\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=92 Failed, w=194\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=100 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,65],[0,2,47],[0,3,86],[1,2,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,47],[0,3,86],[1,2,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,47],[0,3,86],[1,2,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,47],[0,3,86],[1,2,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=43, w=43\",\"Add (0,2)=47, w=90\",\"Add (0,3)=86, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,47],[0,3,86],[1,2,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=43 Succeeded, w=43\",\"Add (0,2)=47 Succeeded, w=90\",\"Add (0,1)=65 Failed, w=90\",\"Add (0,3)=86 Succeeded, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,47],[0,3,86],[1,2,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=43,(0,2)=47,(0,1)=65,(0,3)=86]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=43 Succeeded, w=43\",\"Find(0)=0, Find(2)=1, Add (0,2)=47 Succeeded, w=90\",\"Find(0)=1, Find(1)=1, Add (0,1)=65 Failed, w=90\",\"Find(0)=1, Find(3)=3, Add (0,3)=86 Succeeded, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,47],[0,3,86],[1,2,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=43,(0,2)=47,(0,1)=65,(0,3)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=43 Succeeded, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(2)=1, Add (0,2)=47 Succeeded, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=1, Find(1)=1, Add (0,1)=65 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=3, Add (0,3)=86 Succeeded, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,13],[0,3,59],[0,4,51],[1,2,92],[1,3,24],[1,4,100],[3,4,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,13],[0,3,59],[0,4,51],[1,2,92],[1,3,24],[1,4,100],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,13],[0,3,59],[0,4,51],[1,2,92],[1,3,24],[1,4,100],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (0,4)\",\"Add (0,3)\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,13],[0,3,59],[0,4,51],[1,2,92],[1,3,24],[1,4,100],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=13, w=13\",\"Add (1,3)=24, w=37\",\"Add (0,4)=51, w=88\",\"Add (0,3)=59, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,13],[0,3,59],[0,4,51],[1,2,92],[1,3,24],[1,4,100],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=13 Succeeded, w=13\",\"Add (1,3)=24 Succeeded, w=37\",\"Add (0,4)=51 Succeeded, w=88\",\"Add (0,3)=59 Succeeded, w=147\",\"Add (3,4)=85 Failed, w=147\",\"Add (1,2)=92 Failed, w=147\",\"Add (1,4)=100 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,13],[0,3,59],[0,4,51],[1,2,92],[1,3,24],[1,4,100],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=13,(1,3)=24,(0,4)=51,(0,3)=59,(3,4)=85,(1,2)=92,(1,4)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=13\",\"Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=37\",\"Find(0)=0, Find(4)=4, Add (0,4)=51 Succeeded, w=88\",\"Find(0)=0, Find(3)=1, Add (0,3)=59 Succeeded, w=147\",\"Find(3)=0, Find(4)=0, Add (3,4)=85 Failed, w=147\",\"Find(1)=0, Find(2)=0, Add (1,2)=92 Failed, w=147\",\"Find(1)=0, Find(4)=0, Add (1,4)=100 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,13],[0,3,59],[0,4,51],[1,2,92],[1,3,24],[1,4,100],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=13,(1,3)=24,(0,4)=51,(0,3)=59,(3,4)=85,(1,2)=92,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=51 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(0)=0, Find(3)=1, Add (0,3)=59 Succeeded, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=85 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=92 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=100 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,44],[0,2,42],[0,3,92],[0,4,86],[0,5,48],[0,6,45],[1,2,93],[1,3,14],[1,4,23],[2,3,29],[2,4,37],[2,5,11],[3,4,74],[3,6,17],[4,5,19],[4,6,39],[5,6,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,44],[0,2,42],[0,3,92],[0,4,86],[0,5,48],[0,6,45],[1,2,93],[1,3,14],[1,4,23],[2,3,29],[2,4,37],[2,5,11],[3,4,74],[3,6,17],[4,5,19],[4,6,39],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,44],[0,2,42],[0,3,92],[0,4,86],[0,5,48],[0,6,45],[1,2,93],[1,3,14],[1,4,23],[2,3,29],[2,4,37],[2,5,11],[3,4,74],[3,6,17],[4,5,19],[4,6,39],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (5,6)\",\"Add (1,3)\",\"Add (3,6)\",\"Add (4,5)\",\"Add (0,2)\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,44],[0,2,42],[0,3,92],[0,4,86],[0,5,48],[0,6,45],[1,2,93],[1,3,14],[1,4,23],[2,3,29],[2,4,37],[2,5,11],[3,4,74],[3,6,17],[4,5,19],[4,6,39],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=11, w=11\",\"Add (5,6)=11, w=22\",\"Add (1,3)=14, w=36\",\"Add (3,6)=17, w=53\",\"Add (4,5)=19, w=72\",\"Add (0,2)=42, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,44],[0,2,42],[0,3,92],[0,4,86],[0,5,48],[0,6,45],[1,2,93],[1,3,14],[1,4,23],[2,3,29],[2,4,37],[2,5,11],[3,4,74],[3,6,17],[4,5,19],[4,6,39],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=11 Succeeded, w=11\",\"Add (5,6)=11 Succeeded, w=22\",\"Add (1,3)=14 Succeeded, w=36\",\"Add (3,6)=17 Succeeded, w=53\",\"Add (4,5)=19 Succeeded, w=72\",\"Add (1,4)=23 Failed, w=72\",\"Add (2,3)=29 Failed, w=72\",\"Add (2,4)=37 Failed, w=72\",\"Add (4,6)=39 Failed, w=72\",\"Add (0,2)=42 Succeeded, w=114\",\"Add (0,1)=44 Failed, w=114\",\"Add (0,6)=45 Failed, w=114\",\"Add (0,5)=48 Failed, w=114\",\"Add (3,4)=74 Failed, w=114\",\"Add (0,4)=86 Failed, w=114\",\"Add (0,3)=92 Failed, w=114\",\"Add (1,2)=93 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,44],[0,2,42],[0,3,92],[0,4,86],[0,5,48],[0,6,45],[1,2,93],[1,3,14],[1,4,23],[2,3,29],[2,4,37],[2,5,11],[3,4,74],[3,6,17],[4,5,19],[4,6,39],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=11,(5,6)=11,(1,3)=14,(3,6)=17,(4,5)=19,(1,4)=23,(2,3)=29,(2,4)=37,(4,6)=39,(0,2)=42,(0,1)=44,(0,6)=45,(0,5)=48,(3,4)=74,(0,4)=86,(0,3)=92,(1,2)=93]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=11\",\"Find(5)=2, Find(6)=6, Add (5,6)=11 Succeeded, w=22\",\"Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=36\",\"Find(3)=1, Find(6)=2, Add (3,6)=17 Succeeded, w=53\",\"Find(4)=4, Find(5)=1, Add (4,5)=19 Succeeded, w=72\",\"Find(1)=1, Find(4)=1, Add (1,4)=23 Failed, w=72\",\"Find(2)=1, Find(3)=1, Add (2,3)=29 Failed, w=72\",\"Find(2)=1, Find(4)=1, Add (2,4)=37 Failed, w=72\",\"Find(4)=1, Find(6)=1, Add (4,6)=39 Failed, w=72\",\"Find(0)=0, Find(2)=1, Add (0,2)=42 Succeeded, w=114\",\"Find(0)=1, Find(1)=1, Add (0,1)=44 Failed, w=114\",\"Find(0)=1, Find(6)=1, Add (0,6)=45 Failed, w=114\",\"Find(0)=1, Find(5)=1, Add (0,5)=48 Failed, w=114\",\"Find(3)=1, Find(4)=1, Add (3,4)=74 Failed, w=114\",\"Find(0)=1, Find(4)=1, Add (0,4)=86 Failed, w=114\",\"Find(0)=1, Find(3)=1, Add (0,3)=92 Failed, w=114\",\"Find(1)=1, Find(2)=1, Add (1,2)=93 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,44],[0,2,42],[0,3,92],[0,4,86],[0,5,48],[0,6,45],[1,2,93],[1,3,14],[1,4,23],[2,3,29],[2,4,37],[2,5,11],[3,4,74],[3,6,17],[4,5,19],[4,6,39],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=11,(5,6)=11,(1,3)=14,(3,6)=17,(4,5)=19,(1,4)=23,(2,3)=29,(2,4)=37,(4,6)=39,(0,2)=42,(0,1)=44,(0,6)=45,(0,5)=48,(3,4)=74,(0,4)=86,(0,3)=92,(1,2)=93]\",\"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: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2}, Find(5)=2, Find(6)=6, Add (5,6)=11 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2, 6: 2}, Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 2, 6: 2}, Find(3)=1, Find(6)=2, Add (3,6)=17 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(4)=4, Find(5)=1, Add (4,5)=19 Succeeded, w=72\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(1)=1, Find(4)=1, Add (1,4)=23 Failed, w=72\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(2)=1, Find(3)=1, Add (2,3)=29 Failed, w=72\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(2)=1, Find(4)=1, Add (2,4)=37 Failed, w=72\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=39 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=0, Find(2)=1, Add (0,2)=42 Succeeded, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=44 Failed, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=45 Failed, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=48 Failed, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=74 Failed, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=86 Failed, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=92 Failed, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=93 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,14],[2,3,90],[2,4,63],[3,5,60],[4,5,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,14],[2,3,90],[2,4,63],[3,5,60],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,14],[2,3,90],[2,4,63],[3,5,60],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (4,5)\",\"Add (3,5)\",\"Add (2,4)\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,14],[2,3,90],[2,4,63],[3,5,60],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=14, w=14\",\"Add (4,5)=16, w=30\",\"Add (3,5)=60, w=90\",\"Add (2,4)=63, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,14],[2,3,90],[2,4,63],[3,5,60],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=14 Succeeded, w=14\",\"Add (4,5)=16 Succeeded, w=30\",\"Add (3,5)=60 Succeeded, w=90\",\"Add (2,4)=63 Succeeded, w=153\",\"Add (2,3)=90 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,14],[2,3,90],[2,4,63],[3,5,60],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=14,(4,5)=16,(3,5)=60,(2,4)=63,(2,3)=90]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=14\",\"Find(4)=4, Find(5)=5, Add (4,5)=16 Succeeded, w=30\",\"Find(3)=0, Find(5)=4, Add (3,5)=60 Succeeded, w=90\",\"Find(2)=2, Find(4)=0, Add (2,4)=63 Succeeded, w=153\",\"Find(2)=0, Find(3)=0, Add (2,3)=90 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,14],[2,3,90],[2,4,63],[3,5,60],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=14,(4,5)=16,(3,5)=60,(2,4)=63,(2,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, 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: 4}, Find(4)=4, Find(5)=5, Add (4,5)=16 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 4}, Find(3)=0, Find(5)=4, Add (3,5)=60 Succeeded, w=90\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 4}, Find(2)=2, Find(4)=0, Add (2,4)=63 Succeeded, w=153\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 4}, Find(2)=0, Find(3)=0, Add (2,3)=90 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,13],[0,2,7],[0,3,89],[0,6,33],[1,2,72],[1,3,63],[1,4,32],[2,4,39],[2,5,63],[2,6,72],[3,4,33],[3,6,90],[4,5,85],[4,6,16],[5,6,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,13],[0,2,7],[0,3,89],[0,6,33],[1,2,72],[1,3,63],[1,4,32],[2,4,39],[2,5,63],[2,6,72],[3,4,33],[3,6,90],[4,5,85],[4,6,16],[5,6,1]]}",
"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],\"edges\":[[0,1,13],[0,2,7],[0,3,89],[0,6,33],[1,2,72],[1,3,63],[1,4,32],[2,4,39],[2,5,63],[2,6,72],[3,4,33],[3,6,90],[4,5,85],[4,6,16],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (0,2)\",\"Add (0,1)\",\"Add (4,6)\",\"Add (1,4)\",\"Add (3,4)\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,13],[0,2,7],[0,3,89],[0,6,33],[1,2,72],[1,3,63],[1,4,32],[2,4,39],[2,5,63],[2,6,72],[3,4,33],[3,6,90],[4,5,85],[4,6,16],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=1, w=1\",\"Add (0,2)=7, w=8\",\"Add (0,1)=13, w=21\",\"Add (4,6)=16, w=37\",\"Add (1,4)=32, w=69\",\"Add (3,4)=33, 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],\"edges\":[[0,1,13],[0,2,7],[0,3,89],[0,6,33],[1,2,72],[1,3,63],[1,4,32],[2,4,39],[2,5,63],[2,6,72],[3,4,33],[3,6,90],[4,5,85],[4,6,16],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=1 Succeeded, w=1\",\"Add (0,2)=7 Succeeded, w=8\",\"Add (0,1)=13 Succeeded, w=21\",\"Add (4,6)=16 Succeeded, w=37\",\"Add (1,4)=32 Succeeded, w=69\",\"Add (0,6)=33 Failed, w=69\",\"Add (3,4)=33 Succeeded, w=102\",\"Add (2,4)=39 Failed, w=102\",\"Add (1,3)=63 Failed, w=102\",\"Add (2,5)=63 Failed, w=102\",\"Add (1,2)=72 Failed, w=102\",\"Add (2,6)=72 Failed, w=102\",\"Add (4,5)=85 Failed, w=102\",\"Add (0,3)=89 Failed, w=102\",\"Add (3,6)=90 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],\"edges\":[[0,1,13],[0,2,7],[0,3,89],[0,6,33],[1,2,72],[1,3,63],[1,4,32],[2,4,39],[2,5,63],[2,6,72],[3,4,33],[3,6,90],[4,5,85],[4,6,16],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=1,(0,2)=7,(0,1)=13,(4,6)=16,(1,4)=32,(0,6)=33,(3,4)=33,(2,4)=39,(1,3)=63,(2,5)=63,(1,2)=72,(2,6)=72,(4,5)=85,(0,3)=89,(3,6)=90]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=8\",\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=21\",\"Find(4)=4, Find(6)=5, Add (4,6)=16 Succeeded, w=37\",\"Find(1)=0, Find(4)=5, Add (1,4)=32 Succeeded, w=69\",\"Find(0)=0, Find(6)=0, Add (0,6)=33 Failed, w=69\",\"Find(3)=3, Find(4)=0, Add (3,4)=33 Succeeded, w=102\",\"Find(2)=0, Find(4)=0, Add (2,4)=39 Failed, w=102\",\"Find(1)=0, Find(3)=0, Add (1,3)=63 Failed, w=102\",\"Find(2)=0, Find(5)=0, Add (2,5)=63 Failed, w=102\",\"Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=102\",\"Find(2)=0, Find(6)=0, Add (2,6)=72 Failed, w=102\",\"Find(4)=0, Find(5)=0, Add (4,5)=85 Failed, w=102\",\"Find(0)=0, Find(3)=0, Add (0,3)=89 Failed, w=102\",\"Find(3)=0, Find(6)=0, Add (3,6)=90 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],\"edges\":[[0,1,13],[0,2,7],[0,3,89],[0,6,33],[1,2,72],[1,3,63],[1,4,32],[2,4,39],[2,5,63],[2,6,72],[3,4,33],[3,6,90],[4,5,85],[4,6,16],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=1,(0,2)=7,(0,1)=13,(4,6)=16,(1,4)=32,(0,6)=33,(3,4)=33,(2,4)=39,(1,3)=63,(2,5)=63,(1,2)=72,(2,6)=72,(4,5)=85,(0,3)=89,(3,6)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 5, 5: 5, 6: 5}, Find(4)=4, Find(6)=5, Add (4,6)=16 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 5, 5: 0, 6: 5}, Find(1)=0, Find(4)=5, Add (1,4)=32 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 5, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=33 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=3, Find(4)=0, Add (3,4)=33 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=39 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=63 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=63 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=72 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=85 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=89 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=90 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,76],[0,5,30],[1,2,20],[1,4,11],[2,3,53],[2,4,69],[2,5,64],[3,4,19],[3,5,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,5,30],[1,2,20],[1,4,11],[2,3,53],[2,4,69],[2,5,64],[3,4,19],[3,5,98]]}",
"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],\"edges\":[[0,1,76],[0,5,30],[1,2,20],[1,4,11],[2,3,53],[2,4,69],[2,5,64],[3,4,19],[3,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (0,5)\",\"Add (2,5)\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,5,30],[1,2,20],[1,4,11],[2,3,53],[2,4,69],[2,5,64],[3,4,19],[3,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=11, w=11\",\"Add (3,4)=19, w=30\",\"Add (1,2)=20, w=50\",\"Add (0,5)=30, w=80\",\"Add (2,5)=64, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,5,30],[1,2,20],[1,4,11],[2,3,53],[2,4,69],[2,5,64],[3,4,19],[3,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=11 Succeeded, w=11\",\"Add (3,4)=19 Succeeded, w=30\",\"Add (1,2)=20 Succeeded, w=50\",\"Add (0,5)=30 Succeeded, w=80\",\"Add (2,3)=53 Failed, w=80\",\"Add (2,5)=64 Succeeded, w=144\",\"Add (2,4)=69 Failed, w=144\",\"Add (0,1)=76 Failed, w=144\",\"Add (3,5)=98 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],\"edges\":[[0,1,76],[0,5,30],[1,2,20],[1,4,11],[2,3,53],[2,4,69],[2,5,64],[3,4,19],[3,5,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=11,(3,4)=19,(1,2)=20,(0,5)=30,(2,3)=53,(2,5)=64,(2,4)=69,(0,1)=76,(3,5)=98]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=11\",\"Find(3)=3, Find(4)=1, Add (3,4)=19 Succeeded, w=30\",\"Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=50\",\"Find(0)=0, Find(5)=5, Add (0,5)=30 Succeeded, w=80\",\"Find(2)=1, Find(3)=1, Add (2,3)=53 Failed, w=80\",\"Find(2)=1, Find(5)=0, Add (2,5)=64 Succeeded, w=144\",\"Find(2)=1, Find(4)=1, Add (2,4)=69 Failed, w=144\",\"Find(0)=1, Find(1)=1, Add (0,1)=76 Failed, w=144\",\"Find(3)=1, Find(5)=1, Add (3,5)=98 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],\"edges\":[[0,1,76],[0,5,30],[1,2,20],[1,4,11],[2,3,53],[2,4,69],[2,5,64],[3,4,19],[3,5,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=11,(3,4)=19,(1,2)=20,(0,5)=30,(2,3)=53,(2,5)=64,(2,4)=69,(0,1)=76,(3,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(3)=3, Find(4)=1, Add (3,4)=19 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=30 Succeeded, w=80\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(2)=1, Find(3)=1, Add (2,3)=53 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(2)=1, Find(5)=0, Add (2,5)=64 Succeeded, w=144\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(2)=1, Find(4)=1, Add (2,4)=69 Failed, w=144\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(0)=1, Find(1)=1, Add (0,1)=76 Failed, w=144\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=98 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,19],[0,2,43],[0,3,86],[0,4,40],[1,2,50],[1,3,83],[2,3,76],[2,4,10],[3,4,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,43],[0,3,86],[0,4,40],[1,2,50],[1,3,83],[2,3,76],[2,4,10],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,43],[0,3,86],[0,4,40],[1,2,50],[1,3,83],[2,3,76],[2,4,10],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,1)\",\"Add (0,4)\",\"Add (3,4)\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,43],[0,3,86],[0,4,40],[1,2,50],[1,3,83],[2,3,76],[2,4,10],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=10, w=10\",\"Add (0,1)=19, w=29\",\"Add (0,4)=40, w=69\",\"Add (3,4)=67, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,43],[0,3,86],[0,4,40],[1,2,50],[1,3,83],[2,3,76],[2,4,10],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=10 Succeeded, w=10\",\"Add (0,1)=19 Succeeded, w=29\",\"Add (0,4)=40 Succeeded, w=69\",\"Add (0,2)=43 Failed, w=69\",\"Add (1,2)=50 Failed, w=69\",\"Add (3,4)=67 Succeeded, w=136\",\"Add (2,3)=76 Failed, w=136\",\"Add (1,3)=83 Failed, w=136\",\"Add (0,3)=86 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,43],[0,3,86],[0,4,40],[1,2,50],[1,3,83],[2,3,76],[2,4,10],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=10,(0,1)=19,(0,4)=40,(0,2)=43,(1,2)=50,(3,4)=67,(2,3)=76,(1,3)=83,(0,3)=86]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=10\",\"Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=29\",\"Find(0)=0, Find(4)=2, Add (0,4)=40 Succeeded, w=69\",\"Find(0)=0, Find(2)=0, Add (0,2)=43 Failed, w=69\",\"Find(1)=0, Find(2)=0, Add (1,2)=50 Failed, w=69\",\"Find(3)=3, Find(4)=0, Add (3,4)=67 Succeeded, w=136\",\"Find(2)=0, Find(3)=0, Add (2,3)=76 Failed, w=136\",\"Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=136\",\"Find(0)=0, Find(3)=0, Add (0,3)=86 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,43],[0,3,86],[0,4,40],[1,2,50],[1,3,83],[2,3,76],[2,4,10],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=10,(0,1)=19,(0,4)=40,(0,2)=43,(1,2)=50,(3,4)=67,(2,3)=76,(1,3)=83,(0,3)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=40 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2}, Find(0)=0, Find(2)=0, Add (0,2)=43 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2}, Find(1)=0, Find(2)=0, Add (1,2)=50 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=67 Succeeded, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=76 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=86 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,41],[0,2,31],[0,3,52],[0,4,39],[1,2,66],[1,4,86],[2,3,64],[2,4,65],[3,4,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,31],[0,3,52],[0,4,39],[1,2,66],[1,4,86],[2,3,64],[2,4,65],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,31],[0,3,52],[0,4,39],[1,2,66],[1,4,86],[2,3,64],[2,4,65],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (0,1)\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,31],[0,3,52],[0,4,39],[1,2,66],[1,4,86],[2,3,64],[2,4,65],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=31, w=31\",\"Add (3,4)=37, w=68\",\"Add (0,4)=39, w=107\",\"Add (0,1)=41, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,31],[0,3,52],[0,4,39],[1,2,66],[1,4,86],[2,3,64],[2,4,65],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=31 Succeeded, w=31\",\"Add (3,4)=37 Succeeded, w=68\",\"Add (0,4)=39 Succeeded, w=107\",\"Add (0,1)=41 Succeeded, w=148\",\"Add (0,3)=52 Failed, w=148\",\"Add (2,3)=64 Failed, w=148\",\"Add (2,4)=65 Failed, w=148\",\"Add (1,2)=66 Failed, w=148\",\"Add (1,4)=86 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,31],[0,3,52],[0,4,39],[1,2,66],[1,4,86],[2,3,64],[2,4,65],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=31,(3,4)=37,(0,4)=39,(0,1)=41,(0,3)=52,(2,3)=64,(2,4)=65,(1,2)=66,(1,4)=86]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=31 Succeeded, w=31\",\"Find(3)=3, Find(4)=4, Add (3,4)=37 Succeeded, w=68\",\"Find(0)=0, Find(4)=3, Add (0,4)=39 Succeeded, w=107\",\"Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=148\",\"Find(0)=0, Find(3)=0, Add (0,3)=52 Failed, w=148\",\"Find(2)=0, Find(3)=0, Add (2,3)=64 Failed, w=148\",\"Find(2)=0, Find(4)=0, Add (2,4)=65 Failed, w=148\",\"Find(1)=0, Find(2)=0, Add (1,2)=66 Failed, w=148\",\"Find(1)=0, Find(4)=0, Add (1,4)=86 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,31],[0,3,52],[0,4,39],[1,2,66],[1,4,86],[2,3,64],[2,4,65],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=31,(3,4)=37,(0,4)=39,(0,1)=41,(0,3)=52,(2,3)=64,(2,4)=65,(1,2)=66,(1,4)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=31 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=37 Succeeded, w=68\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=39 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(3)=0, Add (0,3)=52 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(3)=0, Add (2,3)=64 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=65 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=66 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=86 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,39],[0,2,57],[0,3,76],[0,5,69],[1,2,59],[1,3,65],[1,4,86],[1,5,99],[2,3,19],[2,4,58],[3,5,25],[4,5,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,39],[0,2,57],[0,3,76],[0,5,69],[1,2,59],[1,3,65],[1,4,86],[1,5,99],[2,3,19],[2,4,58],[3,5,25],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,39],[0,2,57],[0,3,76],[0,5,69],[1,2,59],[1,3,65],[1,4,86],[1,5,99],[2,3,19],[2,4,58],[3,5,25],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,5)\",\"Add (0,1)\",\"Add (0,2)\",\"Add (2,4)\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,39],[0,2,57],[0,3,76],[0,5,69],[1,2,59],[1,3,65],[1,4,86],[1,5,99],[2,3,19],[2,4,58],[3,5,25],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=19, w=19\",\"Add (3,5)=25, w=44\",\"Add (0,1)=39, w=83\",\"Add (0,2)=57, w=140\",\"Add (2,4)=58, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,39],[0,2,57],[0,3,76],[0,5,69],[1,2,59],[1,3,65],[1,4,86],[1,5,99],[2,3,19],[2,4,58],[3,5,25],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=19 Succeeded, w=19\",\"Add (3,5)=25 Succeeded, w=44\",\"Add (0,1)=39 Succeeded, w=83\",\"Add (0,2)=57 Succeeded, w=140\",\"Add (2,4)=58 Succeeded, w=198\",\"Add (4,5)=58 Failed, w=198\",\"Add (1,2)=59 Failed, w=198\",\"Add (1,3)=65 Failed, w=198\",\"Add (0,5)=69 Failed, w=198\",\"Add (0,3)=76 Failed, w=198\",\"Add (1,4)=86 Failed, w=198\",\"Add (1,5)=99 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,39],[0,2,57],[0,3,76],[0,5,69],[1,2,59],[1,3,65],[1,4,86],[1,5,99],[2,3,19],[2,4,58],[3,5,25],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=19,(3,5)=25,(0,1)=39,(0,2)=57,(2,4)=58,(4,5)=58,(1,2)=59,(1,3)=65,(0,5)=69,(0,3)=76,(1,4)=86,(1,5)=99]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=19 Succeeded, w=19\",\"Find(3)=2, Find(5)=5, Add (3,5)=25 Succeeded, w=44\",\"Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=83\",\"Find(0)=0, Find(2)=2, Add (0,2)=57 Succeeded, w=140\",\"Find(2)=0, Find(4)=4, Add (2,4)=58 Succeeded, w=198\",\"Find(4)=0, Find(5)=0, Add (4,5)=58 Failed, w=198\",\"Find(1)=0, Find(2)=0, Add (1,2)=59 Failed, w=198\",\"Find(1)=0, Find(3)=0, Add (1,3)=65 Failed, w=198\",\"Find(0)=0, Find(5)=0, Add (0,5)=69 Failed, w=198\",\"Find(0)=0, Find(3)=0, Add (0,3)=76 Failed, w=198\",\"Find(1)=0, Find(4)=0, Add (1,4)=86 Failed, w=198\",\"Find(1)=0, Find(5)=0, Add (1,5)=99 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,39],[0,2,57],[0,3,76],[0,5,69],[1,2,59],[1,3,65],[1,4,86],[1,5,99],[2,3,19],[2,4,58],[3,5,25],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=19,(3,5)=25,(0,1)=39,(0,2)=57,(2,4)=58,(4,5)=58,(1,2)=59,(1,3)=65,(0,5)=69,(0,3)=76,(1,4)=86,(1,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2}, Find(3)=2, Find(5)=5, Add (3,5)=25 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 2}, Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=57 Succeeded, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 2}, Find(2)=0, Find(4)=4, Add (2,4)=58 Succeeded, w=198\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=58 Failed, w=198\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=59 Failed, w=198\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=65 Failed, w=198\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=69 Failed, w=198\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=76 Failed, w=198\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=86 Failed, w=198\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=99 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,78],[0,3,34],[0,4,59],[1,4,14],[1,5,99],[2,3,55],[2,4,29],[3,4,98],[3,5,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,78],[0,3,34],[0,4,59],[1,4,14],[1,5,99],[2,3,55],[2,4,29],[3,4,98],[3,5,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,78],[0,3,34],[0,4,59],[1,4,14],[1,5,99],[2,3,55],[2,4,29],[3,4,98],[3,5,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (3,5)\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,78],[0,3,34],[0,4,59],[1,4,14],[1,5,99],[2,3,55],[2,4,29],[3,4,98],[3,5,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=14, w=14\",\"Add (2,4)=29, w=43\",\"Add (0,3)=34, w=77\",\"Add (2,3)=55, w=132\",\"Add (3,5)=55, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,78],[0,3,34],[0,4,59],[1,4,14],[1,5,99],[2,3,55],[2,4,29],[3,4,98],[3,5,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=14 Succeeded, w=14\",\"Add (2,4)=29 Succeeded, w=43\",\"Add (0,3)=34 Succeeded, w=77\",\"Add (2,3)=55 Succeeded, w=132\",\"Add (3,5)=55 Succeeded, w=187\",\"Add (0,4)=59 Failed, w=187\",\"Add (0,2)=78 Failed, w=187\",\"Add (3,4)=98 Failed, w=187\",\"Add (1,5)=99 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,78],[0,3,34],[0,4,59],[1,4,14],[1,5,99],[2,3,55],[2,4,29],[3,4,98],[3,5,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=14,(2,4)=29,(0,3)=34,(2,3)=55,(3,5)=55,(0,4)=59,(0,2)=78,(3,4)=98,(1,5)=99]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=14 Succeeded, w=14\",\"Find(2)=2, Find(4)=1, Add (2,4)=29 Succeeded, w=43\",\"Find(0)=0, Find(3)=3, Add (0,3)=34 Succeeded, w=77\",\"Find(2)=1, Find(3)=0, Add (2,3)=55 Succeeded, w=132\",\"Find(3)=1, Find(5)=5, Add (3,5)=55 Succeeded, w=187\",\"Find(0)=1, Find(4)=1, Add (0,4)=59 Failed, w=187\",\"Find(0)=1, Find(2)=1, Add (0,2)=78 Failed, w=187\",\"Find(3)=1, Find(4)=1, Add (3,4)=98 Failed, w=187\",\"Find(1)=1, Find(5)=1, Add (1,5)=99 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,78],[0,3,34],[0,4,59],[1,4,14],[1,5,99],[2,3,55],[2,4,29],[3,4,98],[3,5,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=14,(2,4)=29,(0,3)=34,(2,3)=55,(3,5)=55,(0,4)=59,(0,2)=78,(3,4)=98,(1,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(2)=2, Find(4)=1, Add (2,4)=29 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=34 Succeeded, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 5}, Find(2)=1, Find(3)=0, Add (2,3)=55 Succeeded, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=5, Add (3,5)=55 Succeeded, w=187\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=59 Failed, w=187\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=78 Failed, w=187\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=98 Failed, w=187\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=99 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.