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":[0,1,2,3,4,5,6],"edges":[[0,1,22],[0,2,69],[0,3,87],[0,4,95],[0,5,5],[0,6,46],[1,2,57],[1,3,54],[1,4,54],[1,5,42],[1,6,98],[2,3,23],[2,4,80],[2,5,15],[2,6,95],[3,4,42],[3,5,12],[3,6,82],[4,5,55],[4,6,97],[5,6,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,69],[0,3,87],[0,4,95],[0,5,5],[0,6,46],[1,2,57],[1,3,54],[1,4,54],[1,5,42],[1,6,98],[2,3,23],[2,4,80],[2,5,15],[2,6,95],[3,4,42],[3,5,12],[3,6,82],[4,5,55],[4,6,97],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,69],[0,3,87],[0,4,95],[0,5,5],[0,6,46],[1,2,57],[1,3,54],[1,4,54],[1,5,42],[1,6,98],[2,3,23],[2,4,80],[2,5,15],[2,6,95],[3,4,42],[3,5,12],[3,6,82],[4,5,55],[4,6,97],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (3,5)\",\"Add (2,5)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (0,6)\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,69],[0,3,87],[0,4,95],[0,5,5],[0,6,46],[1,2,57],[1,3,54],[1,4,54],[1,5,42],[1,6,98],[2,3,23],[2,4,80],[2,5,15],[2,6,95],[3,4,42],[3,5,12],[3,6,82],[4,5,55],[4,6,97],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=5, w=5\",\"Add (3,5)=12, w=17\",\"Add (2,5)=15, w=32\",\"Add (0,1)=22, w=54\",\"Add (3,4)=42, w=96\",\"Add (0,6)=46, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,69],[0,3,87],[0,4,95],[0,5,5],[0,6,46],[1,2,57],[1,3,54],[1,4,54],[1,5,42],[1,6,98],[2,3,23],[2,4,80],[2,5,15],[2,6,95],[3,4,42],[3,5,12],[3,6,82],[4,5,55],[4,6,97],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=5 Succeeded, w=5\",\"Add (3,5)=12 Succeeded, w=17\",\"Add (2,5)=15 Succeeded, w=32\",\"Add (0,1)=22 Succeeded, w=54\",\"Add (2,3)=23 Failed, w=54\",\"Add (1,5)=42 Failed, w=54\",\"Add (3,4)=42 Succeeded, w=96\",\"Add (0,6)=46 Succeeded, w=142\",\"Add (1,3)=54 Failed, w=142\",\"Add (1,4)=54 Failed, w=142\",\"Add (4,5)=55 Failed, w=142\",\"Add (1,2)=57 Failed, w=142\",\"Add (0,2)=69 Failed, w=142\",\"Add (2,4)=80 Failed, w=142\",\"Add (3,6)=82 Failed, w=142\",\"Add (0,3)=87 Failed, w=142\",\"Add (0,4)=95 Failed, w=142\",\"Add (2,6)=95 Failed, w=142\",\"Add (5,6)=96 Failed, w=142\",\"Add (4,6)=97 Failed, w=142\",\"Add (1,6)=98 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,69],[0,3,87],[0,4,95],[0,5,5],[0,6,46],[1,2,57],[1,3,54],[1,4,54],[1,5,42],[1,6,98],[2,3,23],[2,4,80],[2,5,15],[2,6,95],[3,4,42],[3,5,12],[3,6,82],[4,5,55],[4,6,97],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=5,(3,5)=12,(2,5)=15,(0,1)=22,(2,3)=23,(1,5)=42,(3,4)=42,(0,6)=46,(1,3)=54,(1,4)=54,(4,5)=55,(1,2)=57,(0,2)=69,(2,4)=80,(3,6)=82,(0,3)=87,(0,4)=95,(2,6)=95,(5,6)=96,(4,6)=97,(1,6)=98]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=5\",\"Find(3)=3, Find(5)=0, Add (3,5)=12 Succeeded, w=17\",\"Find(2)=2, Find(5)=0, Add (2,5)=15 Succeeded, w=32\",\"Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=54\",\"Find(2)=0, Find(3)=0, Add (2,3)=23 Failed, w=54\",\"Find(1)=0, Find(5)=0, Add (1,5)=42 Failed, w=54\",\"Find(3)=0, Find(4)=4, Add (3,4)=42 Succeeded, w=96\",\"Find(0)=0, Find(6)=6, Add (0,6)=46 Succeeded, w=142\",\"Find(1)=0, Find(3)=0, Add (1,3)=54 Failed, w=142\",\"Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=142\",\"Find(4)=0, Find(5)=0, Add (4,5)=55 Failed, w=142\",\"Find(1)=0, Find(2)=0, Add (1,2)=57 Failed, w=142\",\"Find(0)=0, Find(2)=0, Add (0,2)=69 Failed, w=142\",\"Find(2)=0, Find(4)=0, Add (2,4)=80 Failed, w=142\",\"Find(3)=0, Find(6)=0, Add (3,6)=82 Failed, w=142\",\"Find(0)=0, Find(3)=0, Add (0,3)=87 Failed, w=142\",\"Find(0)=0, Find(4)=0, Add (0,4)=95 Failed, w=142\",\"Find(2)=0, Find(6)=0, Add (2,6)=95 Failed, w=142\",\"Find(5)=0, Find(6)=0, Add (5,6)=96 Failed, w=142\",\"Find(4)=0, Find(6)=0, Add (4,6)=97 Failed, w=142\",\"Find(1)=0, Find(6)=0, Add (1,6)=98 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,69],[0,3,87],[0,4,95],[0,5,5],[0,6,46],[1,2,57],[1,3,54],[1,4,54],[1,5,42],[1,6,98],[2,3,23],[2,4,80],[2,5,15],[2,6,95],[3,4,42],[3,5,12],[3,6,82],[4,5,55],[4,6,97],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=5,(3,5)=12,(2,5)=15,(0,1)=22,(2,3)=23,(1,5)=42,(3,4)=42,(0,6)=46,(1,3)=54,(1,4)=54,(4,5)=55,(1,2)=57,(0,2)=69,(2,4)=80,(3,6)=82,(0,3)=87,(0,4)=95,(2,6)=95,(5,6)=96,(4,6)=97,(1,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6}, Find(3)=3, Find(5)=0, Add (3,5)=12 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6}, Find(2)=2, Find(5)=0, Add (2,5)=15 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6}, Find(2)=0, Find(3)=0, Add (2,3)=23 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6}, Find(1)=0, Find(5)=0, Add (1,5)=42 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(3)=0, Find(4)=4, Add (3,4)=42 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=46 Succeeded, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=54 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=55 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=57 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=69 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=80 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=82 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=87 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=95 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=95 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=96 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=97 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=98 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,14],[0,2,18],[1,3,93],[2,3,78]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,18],[1,3,93],[2,3,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,18],[1,3,93],[2,3,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,18],[1,3,93],[2,3,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=14, w=14\",\"Add (0,2)=18, w=32\",\"Add (2,3)=78, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,18],[1,3,93],[2,3,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=14 Succeeded, w=14\",\"Add (0,2)=18 Succeeded, w=32\",\"Add (2,3)=78 Succeeded, w=110\",\"Add (1,3)=93 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,18],[1,3,93],[2,3,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=14,(0,2)=18,(2,3)=78,(1,3)=93]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=14\",\"Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=32\",\"Find(2)=0, Find(3)=3, Add (2,3)=78 Succeeded, w=110\",\"Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,18],[1,3,93],[2,3,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=14,(0,2)=18,(2,3)=78,(1,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=78 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,66],[0,2,65],[0,3,55],[0,5,50],[1,2,34],[1,3,87],[1,4,25],[1,5,55],[2,3,32],[2,4,52],[2,5,14],[3,4,90],[4,5,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[0,2,65],[0,3,55],[0,5,50],[1,2,34],[1,3,87],[1,4,25],[1,5,55],[2,3,32],[2,4,52],[2,5,14],[3,4,90],[4,5,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[0,2,65],[0,3,55],[0,5,50],[1,2,34],[1,3,87],[1,4,25],[1,5,55],[2,3,32],[2,4,52],[2,5,14],[3,4,90],[4,5,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (2,5)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (0,5)\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[0,2,65],[0,3,55],[0,5,50],[1,2,34],[1,3,87],[1,4,25],[1,5,55],[2,3,32],[2,4,52],[2,5,14],[3,4,90],[4,5,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=3, w=3\",\"Add (2,5)=14, w=17\",\"Add (1,4)=25, w=42\",\"Add (2,3)=32, w=74\",\"Add (0,5)=50, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[0,2,65],[0,3,55],[0,5,50],[1,2,34],[1,3,87],[1,4,25],[1,5,55],[2,3,32],[2,4,52],[2,5,14],[3,4,90],[4,5,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=3 Succeeded, w=3\",\"Add (2,5)=14 Succeeded, w=17\",\"Add (1,4)=25 Succeeded, w=42\",\"Add (2,3)=32 Succeeded, w=74\",\"Add (1,2)=34 Failed, w=74\",\"Add (0,5)=50 Succeeded, w=124\",\"Add (2,4)=52 Failed, w=124\",\"Add (0,3)=55 Failed, w=124\",\"Add (1,5)=55 Failed, w=124\",\"Add (0,2)=65 Failed, w=124\",\"Add (0,1)=66 Failed, w=124\",\"Add (1,3)=87 Failed, w=124\",\"Add (3,4)=90 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[0,2,65],[0,3,55],[0,5,50],[1,2,34],[1,3,87],[1,4,25],[1,5,55],[2,3,32],[2,4,52],[2,5,14],[3,4,90],[4,5,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=3,(2,5)=14,(1,4)=25,(2,3)=32,(1,2)=34,(0,5)=50,(2,4)=52,(0,3)=55,(1,5)=55,(0,2)=65,(0,1)=66,(1,3)=87,(3,4)=90]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=3 Succeeded, w=3\",\"Find(2)=2, Find(5)=4, Add (2,5)=14 Succeeded, w=17\",\"Find(1)=1, Find(4)=4, Add (1,4)=25 Succeeded, w=42\",\"Find(2)=4, Find(3)=3, Add (2,3)=32 Succeeded, w=74\",\"Find(1)=4, Find(2)=4, Add (1,2)=34 Failed, w=74\",\"Find(0)=0, Find(5)=4, Add (0,5)=50 Succeeded, w=124\",\"Find(2)=4, Find(4)=4, Add (2,4)=52 Failed, w=124\",\"Find(0)=4, Find(3)=4, Add (0,3)=55 Failed, w=124\",\"Find(1)=4, Find(5)=4, Add (1,5)=55 Failed, w=124\",\"Find(0)=4, Find(2)=4, Add (0,2)=65 Failed, w=124\",\"Find(0)=4, Find(1)=4, Add (0,1)=66 Failed, w=124\",\"Find(1)=4, Find(3)=4, Add (1,3)=87 Failed, w=124\",\"Find(3)=4, Find(4)=4, Add (3,4)=90 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[0,2,65],[0,3,55],[0,5,50],[1,2,34],[1,3,87],[1,4,25],[1,5,55],[2,3,32],[2,4,52],[2,5,14],[3,4,90],[4,5,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=3,(2,5)=14,(1,4)=25,(2,3)=32,(1,2)=34,(0,5)=50,(2,4)=52,(0,3)=55,(1,5)=55,(0,2)=65,(0,1)=66,(1,3)=87,(3,4)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4}, Find(2)=2, Find(5)=4, Add (2,5)=14 Succeeded, w=17\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4}, Find(1)=1, Find(4)=4, Add (1,4)=25 Succeeded, w=42\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=4, Find(3)=3, Add (2,3)=32 Succeeded, w=74\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(2)=4, Add (1,2)=34 Failed, w=74\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=0, Find(5)=4, Add (0,5)=50 Succeeded, w=124\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=4, Find(4)=4, Add (2,4)=52 Failed, w=124\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(3)=4, Add (0,3)=55 Failed, w=124\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(5)=4, Add (1,5)=55 Failed, w=124\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(2)=4, Add (0,2)=65 Failed, w=124\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(1)=4, Add (0,1)=66 Failed, w=124\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(3)=4, Add (1,3)=87 Failed, w=124\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(3)=4, Find(4)=4, Add (3,4)=90 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,57],[0,2,23],[0,3,4],[1,2,93],[1,3,66],[2,3,32]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,23],[0,3,4],[1,2,93],[1,3,66],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,23],[0,3,4],[1,2,93],[1,3,66],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,23],[0,3,4],[1,2,93],[1,3,66],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4, w=4\",\"Add (0,2)=23, w=27\",\"Add (0,1)=57, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,23],[0,3,4],[1,2,93],[1,3,66],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4 Succeeded, w=4\",\"Add (0,2)=23 Succeeded, w=27\",\"Add (2,3)=32 Failed, w=27\",\"Add (0,1)=57 Succeeded, w=84\",\"Add (1,3)=66 Failed, w=84\",\"Add (1,2)=93 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,23],[0,3,4],[1,2,93],[1,3,66],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(0,2)=23,(2,3)=32,(0,1)=57,(1,3)=66,(1,2)=93]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=27\",\"Find(2)=0, Find(3)=0, Add (2,3)=32 Failed, w=27\",\"Find(0)=0, Find(1)=1, Add (0,1)=57 Succeeded, w=84\",\"Find(1)=0, Find(3)=0, Add (1,3)=66 Failed, w=84\",\"Find(1)=0, Find(2)=0, Add (1,2)=93 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,23],[0,3,4],[1,2,93],[1,3,66],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(0,2)=23,(2,3)=32,(0,1)=57,(1,3)=66,(1,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=32 Failed, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=57 Succeeded, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=66 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=93 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,80],[0,2,74],[0,3,58],[1,2,58],[1,3,96],[2,3,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,74],[0,3,58],[1,2,58],[1,3,96],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,74],[0,3,58],[1,2,58],[1,3,96],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,74],[0,3,58],[1,2,58],[1,3,96],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=58, w=58\",\"Add (1,2)=58, w=116\",\"Add (2,3)=69, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,74],[0,3,58],[1,2,58],[1,3,96],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=58 Succeeded, w=58\",\"Add (1,2)=58 Succeeded, w=116\",\"Add (2,3)=69 Succeeded, w=185\",\"Add (0,2)=74 Failed, w=185\",\"Add (0,1)=80 Failed, w=185\",\"Add (1,3)=96 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,74],[0,3,58],[1,2,58],[1,3,96],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=58,(1,2)=58,(2,3)=69,(0,2)=74,(0,1)=80,(1,3)=96]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=58 Succeeded, w=58\",\"Find(1)=1, Find(2)=2, Add (1,2)=58 Succeeded, w=116\",\"Find(2)=1, Find(3)=0, Add (2,3)=69 Succeeded, w=185\",\"Find(0)=1, Find(2)=1, Add (0,2)=74 Failed, w=185\",\"Find(0)=1, Find(1)=1, Add (0,1)=80 Failed, w=185\",\"Find(1)=1, Find(3)=1, Add (1,3)=96 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,74],[0,3,58],[1,2,58],[1,3,96],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=58,(1,2)=58,(2,3)=69,(0,2)=74,(0,1)=80,(1,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=58 Succeeded, w=58\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=58 Succeeded, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(2)=1, Find(3)=0, Add (2,3)=69 Succeeded, w=185\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(0)=1, Find(2)=1, Add (0,2)=74 Failed, w=185\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(0)=1, Find(1)=1, Add (0,1)=80 Failed, w=185\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=96 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,14],[0,2,24],[1,2,29],[1,3,65],[2,3,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,24],[1,2,29],[1,3,65],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,24],[1,2,29],[1,3,65],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,24],[1,2,29],[1,3,65],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=14, w=14\",\"Add (0,2)=24, w=38\",\"Add (1,3)=65, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,24],[1,2,29],[1,3,65],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=14 Succeeded, w=14\",\"Add (0,2)=24 Succeeded, w=38\",\"Add (1,2)=29 Failed, w=38\",\"Add (1,3)=65 Succeeded, w=103\",\"Add (2,3)=90 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,24],[1,2,29],[1,3,65],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=14,(0,2)=24,(1,2)=29,(1,3)=65,(2,3)=90]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=14\",\"Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=38\",\"Find(1)=0, Find(2)=0, Add (1,2)=29 Failed, w=38\",\"Find(1)=0, Find(3)=3, Add (1,3)=65 Succeeded, w=103\",\"Find(2)=0, Find(3)=0, Add (2,3)=90 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,24],[1,2,29],[1,3,65],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=14,(0,2)=24,(1,2)=29,(1,3)=65,(2,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=0, Add (1,2)=29 Failed, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=65 Succeeded, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=90 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,82],[0,2,40],[1,2,67],[1,3,71],[2,3,57]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,40],[1,2,67],[1,3,71],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,40],[1,2,67],[1,3,71],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,40],[1,2,67],[1,3,71],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=40, w=40\",\"Add (2,3)=57, w=97\",\"Add (1,2)=67, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,40],[1,2,67],[1,3,71],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=40 Succeeded, w=40\",\"Add (2,3)=57 Succeeded, w=97\",\"Add (1,2)=67 Succeeded, w=164\",\"Add (1,3)=71 Failed, w=164\",\"Add (0,1)=82 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,40],[1,2,67],[1,3,71],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=40,(2,3)=57,(1,2)=67,(1,3)=71,(0,1)=82]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=40 Succeeded, w=40\",\"Find(2)=0, Find(3)=3, Add (2,3)=57 Succeeded, w=97\",\"Find(1)=1, Find(2)=0, Add (1,2)=67 Succeeded, w=164\",\"Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=164\",\"Find(0)=0, Find(1)=0, Add (0,1)=82 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,40],[1,2,67],[1,3,71],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=40,(2,3)=57,(1,2)=67,(1,3)=71,(0,1)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=40 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=57 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=67 Succeeded, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=82 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,89],[0,2,79],[0,3,37],[0,4,35],[0,7,73],[1,3,92],[2,3,47],[2,4,2],[2,7,81],[3,7,86],[4,5,30],[4,7,83],[5,6,58],[5,7,93],[6,7,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,79],[0,3,37],[0,4,35],[0,7,73],[1,3,92],[2,3,47],[2,4,2],[2,7,81],[3,7,86],[4,5,30],[4,7,83],[5,6,58],[5,7,93],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":324}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,79],[0,3,37],[0,4,35],[0,7,73],[1,3,92],[2,3,47],[2,4,2],[2,7,81],[3,7,86],[4,5,30],[4,7,83],[5,6,58],[5,7,93],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (4,5)\",\"Add (0,4)\",\"Add (0,3)\",\"Add (5,6)\",\"Add (0,7)\",\"Add (0,1)\"],\"Answer\":324}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,79],[0,3,37],[0,4,35],[0,7,73],[1,3,92],[2,3,47],[2,4,2],[2,7,81],[3,7,86],[4,5,30],[4,7,83],[5,6,58],[5,7,93],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2, w=2\",\"Add (4,5)=30, w=32\",\"Add (0,4)=35, w=67\",\"Add (0,3)=37, w=104\",\"Add (5,6)=58, w=162\",\"Add (0,7)=73, w=235\",\"Add (0,1)=89, w=324\"],\"Answer\":324}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,79],[0,3,37],[0,4,35],[0,7,73],[1,3,92],[2,3,47],[2,4,2],[2,7,81],[3,7,86],[4,5,30],[4,7,83],[5,6,58],[5,7,93],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2 Succeeded, w=2\",\"Add (4,5)=30 Succeeded, w=32\",\"Add (0,4)=35 Succeeded, w=67\",\"Add (0,3)=37 Succeeded, w=104\",\"Add (2,3)=47 Failed, w=104\",\"Add (5,6)=58 Succeeded, w=162\",\"Add (0,7)=73 Succeeded, w=235\",\"Add (0,2)=79 Failed, w=235\",\"Add (2,7)=81 Failed, w=235\",\"Add (4,7)=83 Failed, w=235\",\"Add (3,7)=86 Failed, w=235\",\"Add (0,1)=89 Succeeded, w=324\",\"Add (6,7)=90 Failed, w=324\",\"Add (1,3)=92 Failed, w=324\",\"Add (5,7)=93 Failed, w=324\"],\"Answer\":324}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,79],[0,3,37],[0,4,35],[0,7,73],[1,3,92],[2,3,47],[2,4,2],[2,7,81],[3,7,86],[4,5,30],[4,7,83],[5,6,58],[5,7,93],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(4,5)=30,(0,4)=35,(0,3)=37,(2,3)=47,(5,6)=58,(0,7)=73,(0,2)=79,(2,7)=81,(4,7)=83,(3,7)=86,(0,1)=89,(6,7)=90,(1,3)=92,(5,7)=93]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(4)=2, Find(5)=5, Add (4,5)=30 Succeeded, w=32\",\"Find(0)=0, Find(4)=2, Add (0,4)=35 Succeeded, w=67\",\"Find(0)=2, Find(3)=3, Add (0,3)=37 Succeeded, w=104\",\"Find(2)=2, Find(3)=2, Add (2,3)=47 Failed, w=104\",\"Find(5)=2, Find(6)=6, Add (5,6)=58 Succeeded, w=162\",\"Find(0)=2, Find(7)=7, Add (0,7)=73 Succeeded, w=235\",\"Find(0)=2, Find(2)=2, Add (0,2)=79 Failed, w=235\",\"Find(2)=2, Find(7)=2, Add (2,7)=81 Failed, w=235\",\"Find(4)=2, Find(7)=2, Add (4,7)=83 Failed, w=235\",\"Find(3)=2, Find(7)=2, Add (3,7)=86 Failed, w=235\",\"Find(0)=2, Find(1)=1, Add (0,1)=89 Succeeded, w=324\",\"Find(6)=2, Find(7)=2, Add (6,7)=90 Failed, w=324\",\"Find(1)=2, Find(3)=2, Add (1,3)=92 Failed, w=324\",\"Find(5)=2, Find(7)=2, Add (5,7)=93 Failed, w=324\"],\"Answer\":324}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,79],[0,3,37],[0,4,35],[0,7,73],[1,3,92],[2,3,47],[2,4,2],[2,7,81],[3,7,86],[4,5,30],[4,7,83],[5,6,58],[5,7,93],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(4,5)=30,(0,4)=35,(0,3)=37,(2,3)=47,(5,6)=58,(0,7)=73,(0,2)=79,(2,7)=81,(4,7)=83,(3,7)=86,(0,1)=89,(6,7)=90,(1,3)=92,(5,7)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6, 7: 7}, Find(4)=2, Find(5)=5, Add (4,5)=30 Succeeded, w=32\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6, 7: 7}, Find(0)=0, Find(4)=2, Add (0,4)=35 Succeeded, w=67\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(0)=2, Find(3)=3, Add (0,3)=37 Succeeded, w=104\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(3)=2, Add (2,3)=47 Failed, w=104\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 7}, Find(5)=2, Find(6)=6, Add (5,6)=58 Succeeded, w=162\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=7, Add (0,7)=73 Succeeded, w=235\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=79 Failed, w=235\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=81 Failed, w=235\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=83 Failed, w=235\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=86 Failed, w=235\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=1, Add (0,1)=89 Succeeded, w=324\",\"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=324\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=92 Failed, w=324\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=93 Failed, w=324\"],\"Answer\":324}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,36],[1,2,4],[2,3,75]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,36],[1,2,4],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,36],[1,2,4],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,36],[1,2,4],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4, w=4\",\"Add (0,3)=36, w=40\",\"Add (2,3)=75, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,36],[1,2,4],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4 Succeeded, w=4\",\"Add (0,3)=36 Succeeded, w=40\",\"Add (2,3)=75 Succeeded, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,36],[1,2,4],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(0,3)=36,(2,3)=75]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=40\",\"Find(2)=1, Find(3)=0, Add (2,3)=75 Succeeded, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,36],[1,2,4],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(0,3)=36,(2,3)=75]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(2)=1, Find(3)=0, Add (2,3)=75 Succeeded, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,33],[0,2,68],[0,4,17],[1,4,23],[2,3,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,68],[0,4,17],[1,4,23],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,68],[0,4,17],[1,4,23],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,4)\",\"Add (1,4)\",\"Add (0,2)\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,68],[0,4,17],[1,4,23],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3, w=3\",\"Add (0,4)=17, w=20\",\"Add (1,4)=23, w=43\",\"Add (0,2)=68, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,68],[0,4,17],[1,4,23],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3 Succeeded, w=3\",\"Add (0,4)=17 Succeeded, w=20\",\"Add (1,4)=23 Succeeded, w=43\",\"Add (0,1)=33 Failed, w=43\",\"Add (0,2)=68 Succeeded, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,68],[0,4,17],[1,4,23],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(0,4)=17,(1,4)=23,(0,1)=33,(0,2)=68]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Find(0)=0, Find(4)=4, Add (0,4)=17 Succeeded, w=20\",\"Find(1)=1, Find(4)=0, Add (1,4)=23 Succeeded, w=43\",\"Find(0)=0, Find(1)=0, Add (0,1)=33 Failed, w=43\",\"Find(0)=0, Find(2)=2, Add (0,2)=68 Succeeded, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,68],[0,4,17],[1,4,23],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(0,4)=17,(1,4)=23,(0,1)=33,(0,2)=68]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=17 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=23 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=33 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=68 Succeeded, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,19],[0,2,70],[0,3,100],[0,4,98],[1,2,42],[1,3,86],[1,4,2],[2,3,17],[2,4,75]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,70],[0,3,100],[0,4,98],[1,2,42],[1,3,86],[1,4,2],[2,3,17],[2,4,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,70],[0,3,100],[0,4,98],[1,2,42],[1,3,86],[1,4,2],[2,3,17],[2,4,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,70],[0,3,100],[0,4,98],[1,2,42],[1,3,86],[1,4,2],[2,3,17],[2,4,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2, w=2\",\"Add (2,3)=17, w=19\",\"Add (0,1)=19, w=38\",\"Add (1,2)=42, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,70],[0,3,100],[0,4,98],[1,2,42],[1,3,86],[1,4,2],[2,3,17],[2,4,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2 Succeeded, w=2\",\"Add (2,3)=17 Succeeded, w=19\",\"Add (0,1)=19 Succeeded, w=38\",\"Add (1,2)=42 Succeeded, w=80\",\"Add (0,2)=70 Failed, w=80\",\"Add (2,4)=75 Failed, w=80\",\"Add (1,3)=86 Failed, w=80\",\"Add (0,4)=98 Failed, w=80\",\"Add (0,3)=100 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,70],[0,3,100],[0,4,98],[1,2,42],[1,3,86],[1,4,2],[2,3,17],[2,4,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(2,3)=17,(0,1)=19,(1,2)=42,(0,2)=70,(2,4)=75,(1,3)=86,(0,4)=98,(0,3)=100]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Find(2)=2, Find(3)=3, Add (2,3)=17 Succeeded, w=19\",\"Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=38\",\"Find(1)=1, Find(2)=2, Add (1,2)=42 Succeeded, w=80\",\"Find(0)=1, Find(2)=1, Add (0,2)=70 Failed, w=80\",\"Find(2)=1, Find(4)=1, Add (2,4)=75 Failed, w=80\",\"Find(1)=1, Find(3)=1, Add (1,3)=86 Failed, w=80\",\"Find(0)=1, Find(4)=1, Add (0,4)=98 Failed, w=80\",\"Find(0)=1, Find(3)=1, Add (0,3)=100 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,70],[0,3,100],[0,4,98],[1,2,42],[1,3,86],[1,4,2],[2,3,17],[2,4,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(2,3)=17,(0,1)=19,(1,2)=42,(0,2)=70,(2,4)=75,(1,3)=86,(0,4)=98,(0,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1}, Find(2)=2, Find(3)=3, Add (2,3)=17 Succeeded, w=19\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=42 Succeeded, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=70 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=75 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=86 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=98 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=100 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,60],[0,3,17],[0,4,11],[0,5,69],[0,6,17],[0,7,52],[1,2,48],[1,3,74],[1,5,40],[1,6,19],[2,3,88],[2,5,98],[2,6,18],[3,4,53],[4,5,11],[4,7,82],[5,7,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,3,17],[0,4,11],[0,5,69],[0,6,17],[0,7,52],[1,2,48],[1,3,74],[1,5,40],[1,6,19],[2,3,88],[2,5,98],[2,6,18],[3,4,53],[4,5,11],[4,7,82],[5,7,47]]}",
"role": "user"
},
{
"content": "{\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,3,17],[0,4,11],[0,5,69],[0,6,17],[0,7,52],[1,2,48],[1,3,74],[1,5,40],[1,6,19],[2,3,88],[2,5,98],[2,6,18],[3,4,53],[4,5,11],[4,7,82],[5,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (4,5)\",\"Add (0,3)\",\"Add (0,6)\",\"Add (2,6)\",\"Add (1,6)\",\"Add (5,7)\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,3,17],[0,4,11],[0,5,69],[0,6,17],[0,7,52],[1,2,48],[1,3,74],[1,5,40],[1,6,19],[2,3,88],[2,5,98],[2,6,18],[3,4,53],[4,5,11],[4,7,82],[5,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=11, w=11\",\"Add (4,5)=11, w=22\",\"Add (0,3)=17, w=39\",\"Add (0,6)=17, w=56\",\"Add (2,6)=18, w=74\",\"Add (1,6)=19, w=93\",\"Add (5,7)=47, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,3,17],[0,4,11],[0,5,69],[0,6,17],[0,7,52],[1,2,48],[1,3,74],[1,5,40],[1,6,19],[2,3,88],[2,5,98],[2,6,18],[3,4,53],[4,5,11],[4,7,82],[5,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=11 Succeeded, w=11\",\"Add (4,5)=11 Succeeded, w=22\",\"Add (0,3)=17 Succeeded, w=39\",\"Add (0,6)=17 Succeeded, w=56\",\"Add (2,6)=18 Succeeded, w=74\",\"Add (1,6)=19 Succeeded, w=93\",\"Add (1,5)=40 Failed, w=93\",\"Add (5,7)=47 Succeeded, w=140\",\"Add (1,2)=48 Failed, w=140\",\"Add (0,7)=52 Failed, w=140\",\"Add (3,4)=53 Failed, w=140\",\"Add (0,1)=60 Failed, w=140\",\"Add (0,5)=69 Failed, w=140\",\"Add (1,3)=74 Failed, w=140\",\"Add (4,7)=82 Failed, w=140\",\"Add (2,3)=88 Failed, w=140\",\"Add (2,5)=98 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,3,17],[0,4,11],[0,5,69],[0,6,17],[0,7,52],[1,2,48],[1,3,74],[1,5,40],[1,6,19],[2,3,88],[2,5,98],[2,6,18],[3,4,53],[4,5,11],[4,7,82],[5,7,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=11,(4,5)=11,(0,3)=17,(0,6)=17,(2,6)=18,(1,6)=19,(1,5)=40,(5,7)=47,(1,2)=48,(0,7)=52,(3,4)=53,(0,1)=60,(0,5)=69,(1,3)=74,(4,7)=82,(2,3)=88,(2,5)=98]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=11\",\"Find(4)=0, Find(5)=5, Add (4,5)=11 Succeeded, w=22\",\"Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=39\",\"Find(0)=0, Find(6)=6, Add (0,6)=17 Succeeded, w=56\",\"Find(2)=2, Find(6)=0, Add (2,6)=18 Succeeded, w=74\",\"Find(1)=1, Find(6)=0, Add (1,6)=19 Succeeded, w=93\",\"Find(1)=0, Find(5)=0, Add (1,5)=40 Failed, w=93\",\"Find(5)=0, Find(7)=7, Add (5,7)=47 Succeeded, w=140\",\"Find(1)=0, Find(2)=0, Add (1,2)=48 Failed, w=140\",\"Find(0)=0, Find(7)=0, Add (0,7)=52 Failed, w=140\",\"Find(3)=0, Find(4)=0, Add (3,4)=53 Failed, w=140\",\"Find(0)=0, Find(1)=0, Add (0,1)=60 Failed, w=140\",\"Find(0)=0, Find(5)=0, Add (0,5)=69 Failed, w=140\",\"Find(1)=0, Find(3)=0, Add (1,3)=74 Failed, w=140\",\"Find(4)=0, Find(7)=0, Add (4,7)=82 Failed, w=140\",\"Find(2)=0, Find(3)=0, Add (2,3)=88 Failed, w=140\",\"Find(2)=0, Find(5)=0, Add (2,5)=98 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,3,17],[0,4,11],[0,5,69],[0,6,17],[0,7,52],[1,2,48],[1,3,74],[1,5,40],[1,6,19],[2,3,88],[2,5,98],[2,6,18],[3,4,53],[4,5,11],[4,7,82],[5,7,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=11,(4,5)=11,(0,3)=17,(0,6)=17,(2,6)=18,(1,6)=19,(1,5)=40,(5,7)=47,(1,2)=48,(0,7)=52,(3,4)=53,(0,1)=60,(0,5)=69,(1,3)=74,(4,7)=82,(2,3)=88,(2,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6, 7: 7}, Find(4)=0, Find(5)=5, Add (4,5)=11 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=17 Succeeded, w=56\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(2)=2, Find(6)=0, Add (2,6)=18 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(1)=1, Find(6)=0, Add (1,6)=19 Succeeded, w=93\",\"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)=40 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=7, Add (5,7)=47 Succeeded, w=140\",\"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)=48 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=52 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=53 Failed, w=140\",\"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)=60 Failed, w=140\",\"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)=69 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=74 Failed, w=140\",\"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)=82 Failed, w=140\",\"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)=88 Failed, w=140\",\"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)=98 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,35],[0,2,76],[0,4,66],[0,5,60],[0,6,94],[1,2,51],[1,3,9],[1,4,92],[1,5,91],[1,6,8],[2,3,88],[2,4,39],[2,5,41],[2,6,22],[3,4,78],[3,5,77],[3,6,45],[4,5,24],[4,6,47],[5,6,63]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,76],[0,4,66],[0,5,60],[0,6,94],[1,2,51],[1,3,9],[1,4,92],[1,5,91],[1,6,8],[2,3,88],[2,4,39],[2,5,41],[2,6,22],[3,4,78],[3,5,77],[3,6,45],[4,5,24],[4,6,47],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,76],[0,4,66],[0,5,60],[0,6,94],[1,2,51],[1,3,9],[1,4,92],[1,5,91],[1,6,8],[2,3,88],[2,4,39],[2,5,41],[2,6,22],[3,4,78],[3,5,77],[3,6,45],[4,5,24],[4,6,47],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (1,3)\",\"Add (2,6)\",\"Add (4,5)\",\"Add (0,1)\",\"Add (2,4)\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,76],[0,4,66],[0,5,60],[0,6,94],[1,2,51],[1,3,9],[1,4,92],[1,5,91],[1,6,8],[2,3,88],[2,4,39],[2,5,41],[2,6,22],[3,4,78],[3,5,77],[3,6,45],[4,5,24],[4,6,47],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=8, w=8\",\"Add (1,3)=9, w=17\",\"Add (2,6)=22, w=39\",\"Add (4,5)=24, w=63\",\"Add (0,1)=35, w=98\",\"Add (2,4)=39, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,76],[0,4,66],[0,5,60],[0,6,94],[1,2,51],[1,3,9],[1,4,92],[1,5,91],[1,6,8],[2,3,88],[2,4,39],[2,5,41],[2,6,22],[3,4,78],[3,5,77],[3,6,45],[4,5,24],[4,6,47],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=8 Succeeded, w=8\",\"Add (1,3)=9 Succeeded, w=17\",\"Add (2,6)=22 Succeeded, w=39\",\"Add (4,5)=24 Succeeded, w=63\",\"Add (0,1)=35 Succeeded, w=98\",\"Add (2,4)=39 Succeeded, w=137\",\"Add (2,5)=41 Failed, w=137\",\"Add (3,6)=45 Failed, w=137\",\"Add (4,6)=47 Failed, w=137\",\"Add (1,2)=51 Failed, w=137\",\"Add (0,5)=60 Failed, w=137\",\"Add (5,6)=63 Failed, w=137\",\"Add (0,4)=66 Failed, w=137\",\"Add (0,2)=76 Failed, w=137\",\"Add (3,5)=77 Failed, w=137\",\"Add (3,4)=78 Failed, w=137\",\"Add (2,3)=88 Failed, w=137\",\"Add (1,5)=91 Failed, w=137\",\"Add (1,4)=92 Failed, w=137\",\"Add (0,6)=94 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,76],[0,4,66],[0,5,60],[0,6,94],[1,2,51],[1,3,9],[1,4,92],[1,5,91],[1,6,8],[2,3,88],[2,4,39],[2,5,41],[2,6,22],[3,4,78],[3,5,77],[3,6,45],[4,5,24],[4,6,47],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=8,(1,3)=9,(2,6)=22,(4,5)=24,(0,1)=35,(2,4)=39,(2,5)=41,(3,6)=45,(4,6)=47,(1,2)=51,(0,5)=60,(5,6)=63,(0,4)=66,(0,2)=76,(3,5)=77,(3,4)=78,(2,3)=88,(1,5)=91,(1,4)=92,(0,6)=94]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=8 Succeeded, w=8\",\"Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=17\",\"Find(2)=2, Find(6)=1, Add (2,6)=22 Succeeded, w=39\",\"Find(4)=4, Find(5)=5, Add (4,5)=24 Succeeded, w=63\",\"Find(0)=0, Find(1)=1, Add (0,1)=35 Succeeded, w=98\",\"Find(2)=1, Find(4)=4, Add (2,4)=39 Succeeded, w=137\",\"Find(2)=1, Find(5)=1, Add (2,5)=41 Failed, w=137\",\"Find(3)=1, Find(6)=1, Add (3,6)=45 Failed, w=137\",\"Find(4)=1, Find(6)=1, Add (4,6)=47 Failed, w=137\",\"Find(1)=1, Find(2)=1, Add (1,2)=51 Failed, w=137\",\"Find(0)=1, Find(5)=1, Add (0,5)=60 Failed, w=137\",\"Find(5)=1, Find(6)=1, Add (5,6)=63 Failed, w=137\",\"Find(0)=1, Find(4)=1, Add (0,4)=66 Failed, w=137\",\"Find(0)=1, Find(2)=1, Add (0,2)=76 Failed, w=137\",\"Find(3)=1, Find(5)=1, Add (3,5)=77 Failed, w=137\",\"Find(3)=1, Find(4)=1, Add (3,4)=78 Failed, w=137\",\"Find(2)=1, Find(3)=1, Add (2,3)=88 Failed, w=137\",\"Find(1)=1, Find(5)=1, Add (1,5)=91 Failed, w=137\",\"Find(1)=1, Find(4)=1, Add (1,4)=92 Failed, w=137\",\"Find(0)=1, Find(6)=1, Add (0,6)=94 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,76],[0,4,66],[0,5,60],[0,6,94],[1,2,51],[1,3,9],[1,4,92],[1,5,91],[1,6,8],[2,3,88],[2,4,39],[2,5,41],[2,6,22],[3,4,78],[3,5,77],[3,6,45],[4,5,24],[4,6,47],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=8,(1,3)=9,(2,6)=22,(4,5)=24,(0,1)=35,(2,4)=39,(2,5)=41,(3,6)=45,(4,6)=47,(1,2)=51,(0,5)=60,(5,6)=63,(0,4)=66,(0,2)=76,(3,5)=77,(3,4)=78,(2,3)=88,(1,5)=91,(1,4)=92,(0,6)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 1}, Find(2)=2, Find(6)=1, Add (2,6)=22 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 1}, Find(4)=4, Find(5)=5, Add (4,5)=24 Succeeded, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 1}, Find(0)=0, Find(1)=1, Add (0,1)=35 Succeeded, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1}, Find(2)=1, Find(4)=4, Add (2,4)=39 Succeeded, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=41 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=45 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=47 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=51 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=60 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=63 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=66 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=76 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=77 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=78 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=88 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=91 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=92 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=94 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,77],[0,3,97],[0,4,82],[0,5,15],[0,6,7],[1,2,71],[1,3,97],[1,4,90],[1,5,14],[2,4,32],[2,5,18],[3,6,9],[4,5,45],[4,6,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,77],[0,3,97],[0,4,82],[0,5,15],[0,6,7],[1,2,71],[1,3,97],[1,4,90],[1,5,14],[2,4,32],[2,5,18],[3,6,9],[4,5,45],[4,6,16]]}",
"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],\"edges\":[[0,2,77],[0,3,97],[0,4,82],[0,5,15],[0,6,7],[1,2,71],[1,3,97],[1,4,90],[1,5,14],[2,4,32],[2,5,18],[3,6,9],[4,5,45],[4,6,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (3,6)\",\"Add (1,5)\",\"Add (0,5)\",\"Add (4,6)\",\"Add (2,5)\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,77],[0,3,97],[0,4,82],[0,5,15],[0,6,7],[1,2,71],[1,3,97],[1,4,90],[1,5,14],[2,4,32],[2,5,18],[3,6,9],[4,5,45],[4,6,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=7, w=7\",\"Add (3,6)=9, w=16\",\"Add (1,5)=14, w=30\",\"Add (0,5)=15, w=45\",\"Add (4,6)=16, w=61\",\"Add (2,5)=18, 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],\"edges\":[[0,2,77],[0,3,97],[0,4,82],[0,5,15],[0,6,7],[1,2,71],[1,3,97],[1,4,90],[1,5,14],[2,4,32],[2,5,18],[3,6,9],[4,5,45],[4,6,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=7 Succeeded, w=7\",\"Add (3,6)=9 Succeeded, w=16\",\"Add (1,5)=14 Succeeded, w=30\",\"Add (0,5)=15 Succeeded, w=45\",\"Add (4,6)=16 Succeeded, w=61\",\"Add (2,5)=18 Succeeded, w=79\",\"Add (2,4)=32 Failed, w=79\",\"Add (4,5)=45 Failed, w=79\",\"Add (1,2)=71 Failed, w=79\",\"Add (0,2)=77 Failed, w=79\",\"Add (0,4)=82 Failed, w=79\",\"Add (1,4)=90 Failed, w=79\",\"Add (0,3)=97 Failed, w=79\",\"Add (1,3)=97 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],\"edges\":[[0,2,77],[0,3,97],[0,4,82],[0,5,15],[0,6,7],[1,2,71],[1,3,97],[1,4,90],[1,5,14],[2,4,32],[2,5,18],[3,6,9],[4,5,45],[4,6,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=7,(3,6)=9,(1,5)=14,(0,5)=15,(4,6)=16,(2,5)=18,(2,4)=32,(4,5)=45,(1,2)=71,(0,2)=77,(0,4)=82,(1,4)=90,(0,3)=97,(1,3)=97]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=7 Succeeded, w=7\",\"Find(3)=3, Find(6)=0, Add (3,6)=9 Succeeded, w=16\",\"Find(1)=1, Find(5)=5, Add (1,5)=14 Succeeded, w=30\",\"Find(0)=0, Find(5)=1, Add (0,5)=15 Succeeded, w=45\",\"Find(4)=4, Find(6)=0, Add (4,6)=16 Succeeded, w=61\",\"Find(2)=2, Find(5)=0, Add (2,5)=18 Succeeded, w=79\",\"Find(2)=0, Find(4)=0, Add (2,4)=32 Failed, w=79\",\"Find(4)=0, Find(5)=0, Add (4,5)=45 Failed, w=79\",\"Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=79\",\"Find(0)=0, Find(2)=0, Add (0,2)=77 Failed, w=79\",\"Find(0)=0, Find(4)=0, Add (0,4)=82 Failed, w=79\",\"Find(1)=0, Find(4)=0, Add (1,4)=90 Failed, w=79\",\"Find(0)=0, Find(3)=0, Add (0,3)=97 Failed, w=79\",\"Find(1)=0, Find(3)=0, Add (1,3)=97 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],\"edges\":[[0,2,77],[0,3,97],[0,4,82],[0,5,15],[0,6,7],[1,2,71],[1,3,97],[1,4,90],[1,5,14],[2,4,32],[2,5,18],[3,6,9],[4,5,45],[4,6,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=7,(3,6)=9,(1,5)=14,(0,5)=15,(4,6)=16,(2,5)=18,(2,4)=32,(4,5)=45,(1,2)=71,(0,2)=77,(0,4)=82,(1,4)=90,(0,3)=97,(1,3)=97]\",\"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)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0}, Find(3)=3, Find(6)=0, Add (3,6)=9 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 1, 6: 0}, Find(1)=1, Find(5)=5, Add (1,5)=14 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 1, 6: 0}, Find(0)=0, Find(5)=1, Add (0,5)=15 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 1, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=16 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=2, Find(5)=0, Add (2,5)=18 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=32 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=45 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=77 Failed, w=79\",\"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=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=90 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=97 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,77],[0,2,41],[0,3,35],[1,2,49],[1,3,29],[2,3,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,41],[0,3,35],[1,2,49],[1,3,29],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,41],[0,3,35],[1,2,49],[1,3,29],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,41],[0,3,35],[1,2,49],[1,3,29],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=29, w=29\",\"Add (0,3)=35, w=64\",\"Add (0,2)=41, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,41],[0,3,35],[1,2,49],[1,3,29],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=29 Succeeded, w=29\",\"Add (0,3)=35 Succeeded, w=64\",\"Add (0,2)=41 Succeeded, w=105\",\"Add (1,2)=49 Failed, w=105\",\"Add (2,3)=54 Failed, w=105\",\"Add (0,1)=77 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,41],[0,3,35],[1,2,49],[1,3,29],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=29,(0,3)=35,(0,2)=41,(1,2)=49,(2,3)=54,(0,1)=77]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=29 Succeeded, w=29\",\"Find(0)=0, Find(3)=1, Add (0,3)=35 Succeeded, w=64\",\"Find(0)=1, Find(2)=2, Add (0,2)=41 Succeeded, w=105\",\"Find(1)=1, Find(2)=1, Add (1,2)=49 Failed, w=105\",\"Find(2)=1, Find(3)=1, Add (2,3)=54 Failed, w=105\",\"Find(0)=1, Find(1)=1, Add (0,1)=77 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,41],[0,3,35],[1,2,49],[1,3,29],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=29,(0,3)=35,(0,2)=41,(1,2)=49,(2,3)=54,(0,1)=77]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=29 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=35 Succeeded, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=2, Add (0,2)=41 Succeeded, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=49 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=54 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=77 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,83],[0,4,27],[1,2,36],[1,4,21],[2,3,4],[2,4,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,83],[0,4,27],[1,2,36],[1,4,21],[2,3,4],[2,4,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,83],[0,4,27],[1,2,36],[1,4,21],[2,3,4],[2,4,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,4)\",\"Add (1,4)\",\"Add (0,4)\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,83],[0,4,27],[1,2,36],[1,4,21],[2,3,4],[2,4,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4, w=4\",\"Add (2,4)=4, w=8\",\"Add (1,4)=21, w=29\",\"Add (0,4)=27, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,83],[0,4,27],[1,2,36],[1,4,21],[2,3,4],[2,4,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4 Succeeded, w=4\",\"Add (2,4)=4 Succeeded, w=8\",\"Add (1,4)=21 Succeeded, w=29\",\"Add (0,4)=27 Succeeded, w=56\",\"Add (1,2)=36 Failed, w=56\",\"Add (0,2)=83 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,83],[0,4,27],[1,2,36],[1,4,21],[2,3,4],[2,4,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(2,4)=4,(1,4)=21,(0,4)=27,(1,2)=36,(0,2)=83]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=8\",\"Find(1)=1, Find(4)=2, Add (1,4)=21 Succeeded, w=29\",\"Find(0)=0, Find(4)=2, Add (0,4)=27 Succeeded, w=56\",\"Find(1)=2, Find(2)=2, Add (1,2)=36 Failed, w=56\",\"Find(0)=2, Find(2)=2, Add (0,2)=83 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,83],[0,4,27],[1,2,36],[1,4,21],[2,3,4],[2,4,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(2,4)=4,(1,4)=21,(0,4)=27,(1,2)=36,(0,2)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=8\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=21 Succeeded, w=29\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=27 Succeeded, w=56\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=36 Failed, w=56\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=83 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,77],[0,2,7],[0,4,6],[2,4,76],[3,4,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,7],[0,4,6],[2,4,76],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,7],[0,4,6],[2,4,76],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (0,1)\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,7],[0,4,6],[2,4,76],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=6, w=6\",\"Add (0,2)=7, w=13\",\"Add (3,4)=22, w=35\",\"Add (0,1)=77, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,7],[0,4,6],[2,4,76],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=6 Succeeded, w=6\",\"Add (0,2)=7 Succeeded, w=13\",\"Add (3,4)=22 Succeeded, w=35\",\"Add (2,4)=76 Failed, w=35\",\"Add (0,1)=77 Succeeded, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,7],[0,4,6],[2,4,76],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=6,(0,2)=7,(3,4)=22,(2,4)=76,(0,1)=77]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=6\",\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=13\",\"Find(3)=3, Find(4)=0, Add (3,4)=22 Succeeded, w=35\",\"Find(2)=0, Find(4)=0, Add (2,4)=76 Failed, w=35\",\"Find(0)=0, Find(1)=1, Add (0,1)=77 Succeeded, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,7],[0,4,6],[2,4,76],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=6,(0,2)=7,(3,4)=22,(2,4)=76,(0,1)=77]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=22 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=76 Failed, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=77 Succeeded, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,15],[0,2,53],[0,4,87],[1,4,53],[2,4,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[0,2,53],[0,4,87],[1,4,53],[2,4,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[0,2,53],[0,4,87],[1,4,53],[2,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,4)\",\"Add (0,2)\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[0,2,53],[0,4,87],[1,4,53],[2,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=15, w=15\",\"Add (2,4)=35, w=50\",\"Add (0,2)=53, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[0,2,53],[0,4,87],[1,4,53],[2,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=15 Succeeded, w=15\",\"Add (2,4)=35 Succeeded, w=50\",\"Add (0,2)=53 Succeeded, w=103\",\"Add (1,4)=53 Failed, w=103\",\"Add (0,4)=87 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[0,2,53],[0,4,87],[1,4,53],[2,4,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=15,(2,4)=35,(0,2)=53,(1,4)=53,(0,4)=87]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=15\",\"Find(2)=2, Find(4)=4, Add (2,4)=35 Succeeded, w=50\",\"Find(0)=0, Find(2)=2, Add (0,2)=53 Succeeded, w=103\",\"Find(1)=0, Find(4)=0, Add (1,4)=53 Failed, w=103\",\"Find(0)=0, Find(4)=0, Add (0,4)=87 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[0,2,53],[0,4,87],[1,4,53],[2,4,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=15,(2,4)=35,(0,2)=53,(1,4)=53,(0,4)=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: 2}, Find(2)=2, Find(4)=4, Add (2,4)=35 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=53 Succeeded, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=53 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=87 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,77],[0,4,73],[1,2,85],[1,3,84],[2,3,11],[2,4,43],[3,4,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,77],[0,4,73],[1,2,85],[1,3,84],[2,3,11],[2,4,43],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,77],[0,4,73],[1,2,85],[1,3,84],[2,3,11],[2,4,43],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,4)\",\"Add (0,4)\",\"Add (1,3)\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,77],[0,4,73],[1,2,85],[1,3,84],[2,3,11],[2,4,43],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=11, w=11\",\"Add (2,4)=43, w=54\",\"Add (0,4)=73, w=127\",\"Add (1,3)=84, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,77],[0,4,73],[1,2,85],[1,3,84],[2,3,11],[2,4,43],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=11 Succeeded, w=11\",\"Add (2,4)=43 Succeeded, w=54\",\"Add (0,4)=73 Succeeded, w=127\",\"Add (0,3)=77 Failed, w=127\",\"Add (1,3)=84 Succeeded, w=211\",\"Add (1,2)=85 Failed, w=211\",\"Add (3,4)=87 Failed, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,77],[0,4,73],[1,2,85],[1,3,84],[2,3,11],[2,4,43],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=11,(2,4)=43,(0,4)=73,(0,3)=77,(1,3)=84,(1,2)=85,(3,4)=87]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Find(2)=2, Find(4)=4, Add (2,4)=43 Succeeded, w=54\",\"Find(0)=0, Find(4)=2, Add (0,4)=73 Succeeded, w=127\",\"Find(0)=2, Find(3)=2, Add (0,3)=77 Failed, w=127\",\"Find(1)=1, Find(3)=2, Add (1,3)=84 Succeeded, w=211\",\"Find(1)=2, Find(2)=2, Add (1,2)=85 Failed, w=211\",\"Find(3)=2, Find(4)=2, Add (3,4)=87 Failed, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,77],[0,4,73],[1,2,85],[1,3,84],[2,3,11],[2,4,43],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=11,(2,4)=43,(0,4)=73,(0,3)=77,(1,3)=84,(1,2)=85,(3,4)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=43 Succeeded, w=54\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=73 Succeeded, w=127\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=77 Failed, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(3)=2, Add (1,3)=84 Succeeded, w=211\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=85 Failed, w=211\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=87 Failed, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,64],[0,3,22],[0,4,82],[1,3,67],[2,3,45],[3,4,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,3,22],[0,4,82],[1,3,67],[2,3,45],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,3,22],[0,4,82],[1,3,67],[2,3,45],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,3,22],[0,4,82],[1,3,67],[2,3,45],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=16, w=16\",\"Add (0,3)=22, w=38\",\"Add (2,3)=45, w=83\",\"Add (0,1)=64, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,3,22],[0,4,82],[1,3,67],[2,3,45],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=16 Succeeded, w=16\",\"Add (0,3)=22 Succeeded, w=38\",\"Add (2,3)=45 Succeeded, w=83\",\"Add (0,1)=64 Succeeded, w=147\",\"Add (1,3)=67 Failed, w=147\",\"Add (0,4)=82 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,3,22],[0,4,82],[1,3,67],[2,3,45],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=16,(0,3)=22,(2,3)=45,(0,1)=64,(1,3)=67,(0,4)=82]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=16 Succeeded, w=16\",\"Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=38\",\"Find(2)=2, Find(3)=3, Add (2,3)=45 Succeeded, w=83\",\"Find(0)=3, Find(1)=1, Add (0,1)=64 Succeeded, w=147\",\"Find(1)=3, Find(3)=3, Add (1,3)=67 Failed, w=147\",\"Find(0)=3, Find(4)=3, Add (0,4)=82 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,3,22],[0,4,82],[1,3,67],[2,3,45],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=16,(0,3)=22,(2,3)=45,(0,1)=64,(1,3)=67,(0,4)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=16 Succeeded, w=16\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=38\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(3)=3, Add (2,3)=45 Succeeded, w=83\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(1)=1, Add (0,1)=64 Succeeded, w=147\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(3)=3, Add (1,3)=67 Failed, w=147\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(4)=3, Add (0,4)=82 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,37],[0,5,91],[1,2,73],[1,4,100],[2,3,88],[3,4,92],[4,5,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,37],[0,5,91],[1,2,73],[1,4,100],[2,3,88],[3,4,92],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":332}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,37],[0,5,91],[1,2,73],[1,4,100],[2,3,88],[3,4,92],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (4,5)\",\"Add (1,2)\",\"Add (2,3)\",\"Add (0,5)\"],\"Answer\":332}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,37],[0,5,91],[1,2,73],[1,4,100],[2,3,88],[3,4,92],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=37, w=37\",\"Add (4,5)=43, w=80\",\"Add (1,2)=73, w=153\",\"Add (2,3)=88, w=241\",\"Add (0,5)=91, w=332\"],\"Answer\":332}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,37],[0,5,91],[1,2,73],[1,4,100],[2,3,88],[3,4,92],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=37 Succeeded, w=37\",\"Add (4,5)=43 Succeeded, w=80\",\"Add (1,2)=73 Succeeded, w=153\",\"Add (2,3)=88 Succeeded, w=241\",\"Add (0,5)=91 Succeeded, w=332\",\"Add (3,4)=92 Failed, w=332\",\"Add (1,4)=100 Failed, w=332\"],\"Answer\":332}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,37],[0,5,91],[1,2,73],[1,4,100],[2,3,88],[3,4,92],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=37,(4,5)=43,(1,2)=73,(2,3)=88,(0,5)=91,(3,4)=92,(1,4)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=37\",\"Find(4)=4, Find(5)=5, Add (4,5)=43 Succeeded, w=80\",\"Find(1)=1, Find(2)=0, Add (1,2)=73 Succeeded, w=153\",\"Find(2)=0, Find(3)=3, Add (2,3)=88 Succeeded, w=241\",\"Find(0)=0, Find(5)=4, Add (0,5)=91 Succeeded, w=332\",\"Find(3)=0, Find(4)=0, Add (3,4)=92 Failed, w=332\",\"Find(1)=0, Find(4)=0, Add (1,4)=100 Failed, w=332\"],\"Answer\":332}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,37],[0,5,91],[1,2,73],[1,4,100],[2,3,88],[3,4,92],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=37,(4,5)=43,(1,2)=73,(2,3)=88,(0,5)=91,(3,4)=92,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=43 Succeeded, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 4}, Find(1)=1, Find(2)=0, Add (1,2)=73 Succeeded, w=153\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 4}, Find(2)=0, Find(3)=3, Add (2,3)=88 Succeeded, w=241\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4}, Find(0)=0, Find(5)=4, Add (0,5)=91 Succeeded, w=332\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4}, Find(3)=0, Find(4)=0, Add (3,4)=92 Failed, w=332\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4}, Find(1)=0, Find(4)=0, Add (1,4)=100 Failed, w=332\"],\"Answer\":332}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,80],[0,2,21],[0,3,59],[0,4,15],[0,5,79],[0,6,27],[1,2,42],[1,3,61],[1,4,58],[1,5,11],[1,6,14],[2,3,99],[2,4,42],[2,5,68],[2,6,11],[3,4,71],[3,6,2],[4,5,66],[4,6,24],[5,6,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,80],[0,2,21],[0,3,59],[0,4,15],[0,5,79],[0,6,27],[1,2,42],[1,3,61],[1,4,58],[1,5,11],[1,6,14],[2,3,99],[2,4,42],[2,5,68],[2,6,11],[3,4,71],[3,6,2],[4,5,66],[4,6,24],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,80],[0,2,21],[0,3,59],[0,4,15],[0,5,79],[0,6,27],[1,2,42],[1,3,61],[1,4,58],[1,5,11],[1,6,14],[2,3,99],[2,4,42],[2,5,68],[2,6,11],[3,4,71],[3,6,2],[4,5,66],[4,6,24],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (1,5)\",\"Add (2,6)\",\"Add (1,6)\",\"Add (0,4)\",\"Add (0,2)\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,80],[0,2,21],[0,3,59],[0,4,15],[0,5,79],[0,6,27],[1,2,42],[1,3,61],[1,4,58],[1,5,11],[1,6,14],[2,3,99],[2,4,42],[2,5,68],[2,6,11],[3,4,71],[3,6,2],[4,5,66],[4,6,24],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=2, w=2\",\"Add (1,5)=11, w=13\",\"Add (2,6)=11, w=24\",\"Add (1,6)=14, w=38\",\"Add (0,4)=15, w=53\",\"Add (0,2)=21, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,80],[0,2,21],[0,3,59],[0,4,15],[0,5,79],[0,6,27],[1,2,42],[1,3,61],[1,4,58],[1,5,11],[1,6,14],[2,3,99],[2,4,42],[2,5,68],[2,6,11],[3,4,71],[3,6,2],[4,5,66],[4,6,24],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=2 Succeeded, w=2\",\"Add (1,5)=11 Succeeded, w=13\",\"Add (2,6)=11 Succeeded, w=24\",\"Add (1,6)=14 Succeeded, w=38\",\"Add (0,4)=15 Succeeded, w=53\",\"Add (0,2)=21 Succeeded, w=74\",\"Add (4,6)=24 Failed, w=74\",\"Add (0,6)=27 Failed, w=74\",\"Add (5,6)=37 Failed, w=74\",\"Add (1,2)=42 Failed, w=74\",\"Add (2,4)=42 Failed, w=74\",\"Add (1,4)=58 Failed, w=74\",\"Add (0,3)=59 Failed, w=74\",\"Add (1,3)=61 Failed, w=74\",\"Add (4,5)=66 Failed, w=74\",\"Add (2,5)=68 Failed, w=74\",\"Add (3,4)=71 Failed, w=74\",\"Add (0,5)=79 Failed, w=74\",\"Add (0,1)=80 Failed, w=74\",\"Add (2,3)=99 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,80],[0,2,21],[0,3,59],[0,4,15],[0,5,79],[0,6,27],[1,2,42],[1,3,61],[1,4,58],[1,5,11],[1,6,14],[2,3,99],[2,4,42],[2,5,68],[2,6,11],[3,4,71],[3,6,2],[4,5,66],[4,6,24],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=2,(1,5)=11,(2,6)=11,(1,6)=14,(0,4)=15,(0,2)=21,(4,6)=24,(0,6)=27,(5,6)=37,(1,2)=42,(2,4)=42,(1,4)=58,(0,3)=59,(1,3)=61,(4,5)=66,(2,5)=68,(3,4)=71,(0,5)=79,(0,1)=80,(2,3)=99]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=2 Succeeded, w=2\",\"Find(1)=1, Find(5)=5, Add (1,5)=11 Succeeded, w=13\",\"Find(2)=2, Find(6)=3, Add (2,6)=11 Succeeded, w=24\",\"Find(1)=1, Find(6)=3, Add (1,6)=14 Succeeded, w=38\",\"Find(0)=0, Find(4)=4, Add (0,4)=15 Succeeded, w=53\",\"Find(0)=0, Find(2)=1, Add (0,2)=21 Succeeded, w=74\",\"Find(4)=1, Find(6)=1, Add (4,6)=24 Failed, w=74\",\"Find(0)=1, Find(6)=1, Add (0,6)=27 Failed, w=74\",\"Find(5)=1, Find(6)=1, Add (5,6)=37 Failed, w=74\",\"Find(1)=1, Find(2)=1, Add (1,2)=42 Failed, w=74\",\"Find(2)=1, Find(4)=1, Add (2,4)=42 Failed, w=74\",\"Find(1)=1, Find(4)=1, Add (1,4)=58 Failed, w=74\",\"Find(0)=1, Find(3)=1, Add (0,3)=59 Failed, w=74\",\"Find(1)=1, Find(3)=1, Add (1,3)=61 Failed, w=74\",\"Find(4)=1, Find(5)=1, Add (4,5)=66 Failed, w=74\",\"Find(2)=1, Find(5)=1, Add (2,5)=68 Failed, w=74\",\"Find(3)=1, Find(4)=1, Add (3,4)=71 Failed, w=74\",\"Find(0)=1, Find(5)=1, Add (0,5)=79 Failed, w=74\",\"Find(0)=1, Find(1)=1, Add (0,1)=80 Failed, w=74\",\"Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,80],[0,2,21],[0,3,59],[0,4,15],[0,5,79],[0,6,27],[1,2,42],[1,3,61],[1,4,58],[1,5,11],[1,6,14],[2,3,99],[2,4,42],[2,5,68],[2,6,11],[3,4,71],[3,6,2],[4,5,66],[4,6,24],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=2,(1,5)=11,(2,6)=11,(1,6)=14,(0,4)=15,(0,2)=21,(4,6)=24,(0,6)=27,(5,6)=37,(1,2)=42,(2,4)=42,(1,4)=58,(0,3)=59,(1,3)=61,(4,5)=66,(2,5)=68,(3,4)=71,(0,5)=79,(0,1)=80,(2,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 3}, Find(1)=1, Find(5)=5, Add (1,5)=11 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 1, 6: 3}, Find(2)=2, Find(6)=3, Add (2,6)=11 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 1, 4: 4, 5: 1, 6: 3}, Find(1)=1, Find(6)=3, Add (1,6)=14 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 1, 4: 0, 5: 1, 6: 3}, Find(0)=0, Find(4)=4, Add (0,4)=15 Succeeded, w=53\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 3}, Find(0)=0, Find(2)=1, Add (0,2)=21 Succeeded, w=74\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=24 Failed, w=74\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=27 Failed, w=74\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=37 Failed, w=74\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=42 Failed, w=74\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=42 Failed, w=74\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=58 Failed, w=74\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=59 Failed, w=74\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=61 Failed, w=74\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=66 Failed, w=74\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=68 Failed, w=74\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=71 Failed, w=74\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=79 Failed, w=74\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=80 Failed, w=74\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,79],[0,3,29],[1,3,91],[2,3,30]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,29],[1,3,91],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,29],[1,3,91],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,29],[1,3,91],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=29, w=29\",\"Add (2,3)=30, w=59\",\"Add (1,3)=91, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,29],[1,3,91],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=29 Succeeded, w=29\",\"Add (2,3)=30 Succeeded, w=59\",\"Add (0,2)=79 Failed, w=59\",\"Add (1,3)=91 Succeeded, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,29],[1,3,91],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=29,(2,3)=30,(0,2)=79,(1,3)=91]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=29 Succeeded, w=29\",\"Find(2)=2, Find(3)=0, Add (2,3)=30 Succeeded, w=59\",\"Find(0)=0, Find(2)=0, Add (0,2)=79 Failed, w=59\",\"Find(1)=1, Find(3)=0, Add (1,3)=91 Succeeded, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,29],[1,3,91],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=29,(2,3)=30,(0,2)=79,(1,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=29 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=30 Succeeded, w=59\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=79 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=91 Succeeded, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,62],[0,4,78],[0,7,50],[1,4,57],[1,6,81],[1,7,30],[2,3,20],[2,5,98],[2,7,72],[3,4,78],[3,7,73],[4,5,42],[5,6,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,62],[0,4,78],[0,7,50],[1,4,57],[1,6,81],[1,7,30],[2,3,20],[2,5,98],[2,7,72],[3,4,78],[3,7,73],[4,5,42],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":323}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,62],[0,4,78],[0,7,50],[1,4,57],[1,6,81],[1,7,30],[2,3,20],[2,5,98],[2,7,72],[3,4,78],[3,7,73],[4,5,42],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,7)\",\"Add (4,5)\",\"Add (0,7)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (5,6)\"],\"Answer\":323}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,62],[0,4,78],[0,7,50],[1,4,57],[1,6,81],[1,7,30],[2,3,20],[2,5,98],[2,7,72],[3,4,78],[3,7,73],[4,5,42],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=20, w=20\",\"Add (1,7)=30, w=50\",\"Add (4,5)=42, w=92\",\"Add (0,7)=50, w=142\",\"Add (1,4)=57, w=199\",\"Add (0,3)=62, w=261\",\"Add (5,6)=62, w=323\"],\"Answer\":323}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,62],[0,4,78],[0,7,50],[1,4,57],[1,6,81],[1,7,30],[2,3,20],[2,5,98],[2,7,72],[3,4,78],[3,7,73],[4,5,42],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=20 Succeeded, w=20\",\"Add (1,7)=30 Succeeded, w=50\",\"Add (4,5)=42 Succeeded, w=92\",\"Add (0,7)=50 Succeeded, w=142\",\"Add (1,4)=57 Succeeded, w=199\",\"Add (0,3)=62 Succeeded, w=261\",\"Add (5,6)=62 Succeeded, w=323\",\"Add (2,7)=72 Failed, w=323\",\"Add (3,7)=73 Failed, w=323\",\"Add (0,4)=78 Failed, w=323\",\"Add (3,4)=78 Failed, w=323\",\"Add (1,6)=81 Failed, w=323\",\"Add (2,5)=98 Failed, w=323\"],\"Answer\":323}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,62],[0,4,78],[0,7,50],[1,4,57],[1,6,81],[1,7,30],[2,3,20],[2,5,98],[2,7,72],[3,4,78],[3,7,73],[4,5,42],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=20,(1,7)=30,(4,5)=42,(0,7)=50,(1,4)=57,(0,3)=62,(5,6)=62,(2,7)=72,(3,7)=73,(0,4)=78,(3,4)=78,(1,6)=81,(2,5)=98]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=20 Succeeded, w=20\",\"Find(1)=1, Find(7)=7, Add (1,7)=30 Succeeded, w=50\",\"Find(4)=4, Find(5)=5, Add (4,5)=42 Succeeded, w=92\",\"Find(0)=0, Find(7)=1, Add (0,7)=50 Succeeded, w=142\",\"Find(1)=1, Find(4)=4, Add (1,4)=57 Succeeded, w=199\",\"Find(0)=1, Find(3)=2, Add (0,3)=62 Succeeded, w=261\",\"Find(5)=1, Find(6)=6, Add (5,6)=62 Succeeded, w=323\",\"Find(2)=1, Find(7)=1, Add (2,7)=72 Failed, w=323\",\"Find(3)=1, Find(7)=1, Add (3,7)=73 Failed, w=323\",\"Find(0)=1, Find(4)=1, Add (0,4)=78 Failed, w=323\",\"Find(3)=1, Find(4)=1, Add (3,4)=78 Failed, w=323\",\"Find(1)=1, Find(6)=1, Add (1,6)=81 Failed, w=323\",\"Find(2)=1, Find(5)=1, Add (2,5)=98 Failed, w=323\"],\"Answer\":323}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,62],[0,4,78],[0,7,50],[1,4,57],[1,6,81],[1,7,30],[2,3,20],[2,5,98],[2,7,72],[3,4,78],[3,7,73],[4,5,42],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=20,(1,7)=30,(4,5)=42,(0,7)=50,(1,4)=57,(0,3)=62,(5,6)=62,(2,7)=72,(3,7)=73,(0,4)=78,(3,4)=78,(1,6)=81,(2,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=30 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4, 6: 6, 7: 1}, Find(4)=4, Find(5)=5, Add (4,5)=42 Succeeded, w=92\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4, 6: 6, 7: 1}, Find(0)=0, Find(7)=1, Add (0,7)=50 Succeeded, w=142\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 1, 5: 4, 6: 6, 7: 1}, Find(1)=1, Find(4)=4, Add (1,4)=57 Succeeded, w=199\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 4, 6: 6, 7: 1}, Find(0)=1, Find(3)=2, Add (0,3)=62 Succeeded, w=261\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=6, Add (5,6)=62 Succeeded, w=323\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=72 Failed, w=323\",\"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)=73 Failed, w=323\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=78 Failed, w=323\",\"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)=78 Failed, w=323\",\"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)=81 Failed, w=323\",\"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)=98 Failed, w=323\"],\"Answer\":323}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,5,69],[1,3,44],[1,7,20],[2,4,30],[2,6,76],[2,7,95],[3,4,17],[3,5,83],[3,6,67],[3,7,46],[4,5,30],[5,6,62],[5,7,85],[6,7,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,69],[1,3,44],[1,7,20],[2,4,30],[2,6,76],[2,7,95],[3,4,17],[3,5,83],[3,6,67],[3,7,46],[4,5,30],[5,6,62],[5,7,85],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":272}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,69],[1,3,44],[1,7,20],[2,4,30],[2,6,76],[2,7,95],[3,4,17],[3,5,83],[3,6,67],[3,7,46],[4,5,30],[5,6,62],[5,7,85],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,7)\",\"Add (2,4)\",\"Add (4,5)\",\"Add (1,3)\",\"Add (5,6)\",\"Add (0,5)\"],\"Answer\":272}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,69],[1,3,44],[1,7,20],[2,4,30],[2,6,76],[2,7,95],[3,4,17],[3,5,83],[3,6,67],[3,7,46],[4,5,30],[5,6,62],[5,7,85],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=17, w=17\",\"Add (1,7)=20, w=37\",\"Add (2,4)=30, w=67\",\"Add (4,5)=30, w=97\",\"Add (1,3)=44, w=141\",\"Add (5,6)=62, w=203\",\"Add (0,5)=69, w=272\"],\"Answer\":272}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,69],[1,3,44],[1,7,20],[2,4,30],[2,6,76],[2,7,95],[3,4,17],[3,5,83],[3,6,67],[3,7,46],[4,5,30],[5,6,62],[5,7,85],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=17 Succeeded, w=17\",\"Add (1,7)=20 Succeeded, w=37\",\"Add (2,4)=30 Succeeded, w=67\",\"Add (4,5)=30 Succeeded, w=97\",\"Add (1,3)=44 Succeeded, w=141\",\"Add (3,7)=46 Failed, w=141\",\"Add (5,6)=62 Succeeded, w=203\",\"Add (3,6)=67 Failed, w=203\",\"Add (0,5)=69 Succeeded, w=272\",\"Add (2,6)=76 Failed, w=272\",\"Add (3,5)=83 Failed, w=272\",\"Add (5,7)=85 Failed, w=272\",\"Add (6,7)=85 Failed, w=272\",\"Add (2,7)=95 Failed, w=272\"],\"Answer\":272}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,69],[1,3,44],[1,7,20],[2,4,30],[2,6,76],[2,7,95],[3,4,17],[3,5,83],[3,6,67],[3,7,46],[4,5,30],[5,6,62],[5,7,85],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=17,(1,7)=20,(2,4)=30,(4,5)=30,(1,3)=44,(3,7)=46,(5,6)=62,(3,6)=67,(0,5)=69,(2,6)=76,(3,5)=83,(5,7)=85,(6,7)=85,(2,7)=95]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=17 Succeeded, w=17\",\"Find(1)=1, Find(7)=7, Add (1,7)=20 Succeeded, w=37\",\"Find(2)=2, Find(4)=3, Add (2,4)=30 Succeeded, w=67\",\"Find(4)=3, Find(5)=5, Add (4,5)=30 Succeeded, w=97\",\"Find(1)=1, Find(3)=3, Add (1,3)=44 Succeeded, w=141\",\"Find(3)=1, Find(7)=1, Add (3,7)=46 Failed, w=141\",\"Find(5)=1, Find(6)=6, Add (5,6)=62 Succeeded, w=203\",\"Find(3)=1, Find(6)=1, Add (3,6)=67 Failed, w=203\",\"Find(0)=0, Find(5)=1, Add (0,5)=69 Succeeded, w=272\",\"Find(2)=1, Find(6)=1, Add (2,6)=76 Failed, w=272\",\"Find(3)=1, Find(5)=1, Add (3,5)=83 Failed, w=272\",\"Find(5)=1, Find(7)=1, Add (5,7)=85 Failed, w=272\",\"Find(6)=1, Find(7)=1, Add (6,7)=85 Failed, w=272\",\"Find(2)=1, Find(7)=1, Add (2,7)=95 Failed, w=272\"],\"Answer\":272}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,69],[1,3,44],[1,7,20],[2,4,30],[2,6,76],[2,7,95],[3,4,17],[3,5,83],[3,6,67],[3,7,46],[4,5,30],[5,6,62],[5,7,85],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=17,(1,7)=20,(2,4)=30,(4,5)=30,(1,3)=44,(3,7)=46,(5,6)=62,(3,6)=67,(0,5)=69,(2,6)=76,(3,5)=83,(5,7)=85,(6,7)=85,(2,7)=95]\",\"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)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=20 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5, 6: 6, 7: 1}, Find(2)=2, Find(4)=3, Add (2,4)=30 Succeeded, w=67\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 1}, Find(4)=3, Find(5)=5, Add (4,5)=30 Succeeded, w=97\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 1, 4: 3, 5: 3, 6: 6, 7: 1}, Find(1)=1, Find(3)=3, Add (1,3)=44 Succeeded, w=141\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 1, 4: 3, 5: 3, 6: 6, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=46 Failed, w=141\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 1, 4: 3, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=6, Add (5,6)=62 Succeeded, w=203\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 1, 4: 3, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=67 Failed, w=203\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 3, 5: 1, 6: 1, 7: 1}, Find(0)=0, Find(5)=1, Add (0,5)=69 Succeeded, w=272\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(6)=1, Add (2,6)=76 Failed, w=272\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=83 Failed, w=272\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=85 Failed, w=272\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=85 Failed, w=272\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=95 Failed, w=272\"],\"Answer\":272}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,42],[0,4,68],[0,5,96],[0,7,67],[1,2,86],[1,4,21],[1,7,62],[2,3,86],[2,6,23],[3,4,100],[3,6,36],[3,7,23],[5,7,80],[6,7,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,4,68],[0,5,96],[0,7,67],[1,2,86],[1,4,21],[1,7,62],[2,3,86],[2,6,23],[3,4,100],[3,6,36],[3,7,23],[5,7,80],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":287}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,4,68],[0,5,96],[0,7,67],[1,2,86],[1,4,21],[1,7,62],[2,3,86],[2,6,23],[3,4,100],[3,6,36],[3,7,23],[5,7,80],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,6)\",\"Add (3,7)\",\"Add (3,6)\",\"Add (0,1)\",\"Add (1,7)\",\"Add (5,7)\"],\"Answer\":287}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,4,68],[0,5,96],[0,7,67],[1,2,86],[1,4,21],[1,7,62],[2,3,86],[2,6,23],[3,4,100],[3,6,36],[3,7,23],[5,7,80],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=21, w=21\",\"Add (2,6)=23, w=44\",\"Add (3,7)=23, w=67\",\"Add (3,6)=36, w=103\",\"Add (0,1)=42, w=145\",\"Add (1,7)=62, w=207\",\"Add (5,7)=80, w=287\"],\"Answer\":287}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,4,68],[0,5,96],[0,7,67],[1,2,86],[1,4,21],[1,7,62],[2,3,86],[2,6,23],[3,4,100],[3,6,36],[3,7,23],[5,7,80],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=21 Succeeded, w=21\",\"Add (2,6)=23 Succeeded, w=44\",\"Add (3,7)=23 Succeeded, w=67\",\"Add (3,6)=36 Succeeded, w=103\",\"Add (0,1)=42 Succeeded, w=145\",\"Add (1,7)=62 Succeeded, w=207\",\"Add (0,7)=67 Failed, w=207\",\"Add (0,4)=68 Failed, w=207\",\"Add (5,7)=80 Succeeded, w=287\",\"Add (1,2)=86 Failed, w=287\",\"Add (2,3)=86 Failed, w=287\",\"Add (6,7)=88 Failed, w=287\",\"Add (0,5)=96 Failed, w=287\",\"Add (3,4)=100 Failed, w=287\"],\"Answer\":287}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,4,68],[0,5,96],[0,7,67],[1,2,86],[1,4,21],[1,7,62],[2,3,86],[2,6,23],[3,4,100],[3,6,36],[3,7,23],[5,7,80],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=21,(2,6)=23,(3,7)=23,(3,6)=36,(0,1)=42,(1,7)=62,(0,7)=67,(0,4)=68,(5,7)=80,(1,2)=86,(2,3)=86,(6,7)=88,(0,5)=96,(3,4)=100]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=21 Succeeded, w=21\",\"Find(2)=2, Find(6)=6, Add (2,6)=23 Succeeded, w=44\",\"Find(3)=3, Find(7)=7, Add (3,7)=23 Succeeded, w=67\",\"Find(3)=3, Find(6)=2, Add (3,6)=36 Succeeded, w=103\",\"Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=145\",\"Find(1)=1, Find(7)=3, Add (1,7)=62 Succeeded, w=207\",\"Find(0)=3, Find(7)=3, Add (0,7)=67 Failed, w=207\",\"Find(0)=3, Find(4)=3, Add (0,4)=68 Failed, w=207\",\"Find(5)=5, Find(7)=3, Add (5,7)=80 Succeeded, w=287\",\"Find(1)=3, Find(2)=3, Add (1,2)=86 Failed, w=287\",\"Find(2)=3, Find(3)=3, Add (2,3)=86 Failed, w=287\",\"Find(6)=3, Find(7)=3, Add (6,7)=88 Failed, w=287\",\"Find(0)=3, Find(5)=3, Add (0,5)=96 Failed, w=287\",\"Find(3)=3, Find(4)=3, Add (3,4)=100 Failed, w=287\"],\"Answer\":287}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,4,68],[0,5,96],[0,7,67],[1,2,86],[1,4,21],[1,7,62],[2,3,86],[2,6,23],[3,4,100],[3,6,36],[3,7,23],[5,7,80],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=21,(2,6)=23,(3,7)=23,(3,6)=36,(0,1)=42,(1,7)=62,(0,7)=67,(0,4)=68,(5,7)=80,(1,2)=86,(2,3)=86,(6,7)=88,(0,5)=96,(3,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=23 Succeeded, w=44\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 2, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=23 Succeeded, w=67\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 1, 5: 5, 6: 2, 7: 3}, Find(3)=3, Find(6)=2, Add (3,6)=36 Succeeded, w=103\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 3, 4: 1, 5: 5, 6: 2, 7: 3}, Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=145\",\"Parent: {0: 1, 1: 3, 2: 3, 3: 3, 4: 1, 5: 5, 6: 2, 7: 3}, Find(1)=1, Find(7)=3, Add (1,7)=62 Succeeded, w=207\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 1, 5: 5, 6: 2, 7: 3}, Find(0)=3, Find(7)=3, Add (0,7)=67 Failed, w=207\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 2, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=68 Failed, w=207\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 2, 7: 3}, Find(5)=5, Find(7)=3, Add (5,7)=80 Succeeded, w=287\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 2, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=86 Failed, w=287\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 2, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=86 Failed, w=287\",\"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)=88 Failed, w=287\",\"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)=96 Failed, w=287\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(4)=3, Add (3,4)=100 Failed, w=287\"],\"Answer\":287}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,4,69],[1,3,8],[1,4,97],[2,3,56],[2,4,40],[3,4,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,69],[1,3,8],[1,4,97],[2,3,56],[2,4,40],[3,4,29]]}",
"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\":[[0,4,69],[1,3,8],[1,4,97],[2,3,56],[2,4,40],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (0,4)\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,69],[1,3,8],[1,4,97],[2,3,56],[2,4,40],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=8, w=8\",\"Add (3,4)=29, w=37\",\"Add (2,4)=40, w=77\",\"Add (0,4)=69, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,69],[1,3,8],[1,4,97],[2,3,56],[2,4,40],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=8 Succeeded, w=8\",\"Add (3,4)=29 Succeeded, w=37\",\"Add (2,4)=40 Succeeded, w=77\",\"Add (2,3)=56 Failed, w=77\",\"Add (0,4)=69 Succeeded, w=146\",\"Add (1,4)=97 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\":[[0,4,69],[1,3,8],[1,4,97],[2,3,56],[2,4,40],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=8,(3,4)=29,(2,4)=40,(2,3)=56,(0,4)=69,(1,4)=97]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=8\",\"Find(3)=1, Find(4)=4, Add (3,4)=29 Succeeded, w=37\",\"Find(2)=2, Find(4)=1, Add (2,4)=40 Succeeded, w=77\",\"Find(2)=1, Find(3)=1, Add (2,3)=56 Failed, w=77\",\"Find(0)=0, Find(4)=1, Add (0,4)=69 Succeeded, w=146\",\"Find(1)=1, Find(4)=1, Add (1,4)=97 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\":[[0,4,69],[1,3,8],[1,4,97],[2,3,56],[2,4,40],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=8,(3,4)=29,(2,4)=40,(2,3)=56,(0,4)=69,(1,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=1, Find(4)=4, Add (3,4)=29 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=40 Succeeded, w=77\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=56 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=69 Succeeded, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=97 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,89],[0,2,52],[0,3,42],[1,2,40],[1,3,11],[2,3,66]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,89],[0,2,52],[0,3,42],[1,2,40],[1,3,11],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,89],[0,2,52],[0,3,42],[1,2,40],[1,3,11],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,89],[0,2,52],[0,3,42],[1,2,40],[1,3,11],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=11, w=11\",\"Add (1,2)=40, w=51\",\"Add (0,3)=42, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,89],[0,2,52],[0,3,42],[1,2,40],[1,3,11],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=11 Succeeded, w=11\",\"Add (1,2)=40 Succeeded, w=51\",\"Add (0,3)=42 Succeeded, w=93\",\"Add (0,2)=52 Failed, w=93\",\"Add (2,3)=66 Failed, w=93\",\"Add (0,1)=89 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,89],[0,2,52],[0,3,42],[1,2,40],[1,3,11],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=11,(1,2)=40,(0,3)=42,(0,2)=52,(2,3)=66,(0,1)=89]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=11\",\"Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=51\",\"Find(0)=0, Find(3)=1, Add (0,3)=42 Succeeded, w=93\",\"Find(0)=1, Find(2)=1, Add (0,2)=52 Failed, w=93\",\"Find(2)=1, Find(3)=1, Add (2,3)=66 Failed, w=93\",\"Find(0)=1, Find(1)=1, Add (0,1)=89 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,89],[0,2,52],[0,3,42],[1,2,40],[1,3,11],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=11,(1,2)=40,(0,3)=42,(0,2)=52,(2,3)=66,(0,1)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=42 Succeeded, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=52 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=66 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=89 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,2],[0,2,96],[0,3,5],[0,4,58],[1,2,39],[1,3,19],[2,3,4],[2,4,11],[3,4,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,96],[0,3,5],[0,4,58],[1,2,39],[1,3,19],[2,3,4],[2,4,11],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":22}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,96],[0,3,5],[0,4,58],[1,2,39],[1,3,19],[2,3,4],[2,4,11],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (2,4)\"],\"Answer\":22}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,96],[0,3,5],[0,4,58],[1,2,39],[1,3,19],[2,3,4],[2,4,11],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2, w=2\",\"Add (2,3)=4, w=6\",\"Add (0,3)=5, w=11\",\"Add (2,4)=11, w=22\"],\"Answer\":22}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,96],[0,3,5],[0,4,58],[1,2,39],[1,3,19],[2,3,4],[2,4,11],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2 Succeeded, w=2\",\"Add (2,3)=4 Succeeded, w=6\",\"Add (0,3)=5 Succeeded, w=11\",\"Add (2,4)=11 Succeeded, w=22\",\"Add (1,3)=19 Failed, w=22\",\"Add (3,4)=36 Failed, w=22\",\"Add (1,2)=39 Failed, w=22\",\"Add (0,4)=58 Failed, w=22\",\"Add (0,2)=96 Failed, w=22\"],\"Answer\":22}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,96],[0,3,5],[0,4,58],[1,2,39],[1,3,19],[2,3,4],[2,4,11],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(2,3)=4,(0,3)=5,(2,4)=11,(1,3)=19,(3,4)=36,(1,2)=39,(0,4)=58,(0,2)=96]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=6\",\"Find(0)=0, Find(3)=2, Add (0,3)=5 Succeeded, w=11\",\"Find(2)=0, Find(4)=4, Add (2,4)=11 Succeeded, w=22\",\"Find(1)=0, Find(3)=0, Add (1,3)=19 Failed, w=22\",\"Find(3)=0, Find(4)=0, Add (3,4)=36 Failed, w=22\",\"Find(1)=0, Find(2)=0, Add (1,2)=39 Failed, w=22\",\"Find(0)=0, Find(4)=0, Add (0,4)=58 Failed, w=22\",\"Find(0)=0, Find(2)=0, Add (0,2)=96 Failed, w=22\"],\"Answer\":22}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,96],[0,3,5],[0,4,58],[1,2,39],[1,3,19],[2,3,4],[2,4,11],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(2,3)=4,(0,3)=5,(2,4)=11,(1,3)=19,(3,4)=36,(1,2)=39,(0,4)=58,(0,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4}, Find(0)=0, Find(3)=2, Add (0,3)=5 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=11 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=19 Failed, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=36 Failed, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=39 Failed, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=58 Failed, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=96 Failed, w=22\"],\"Answer\":22}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,20],[0,3,62],[0,5,6],[0,6,50],[0,7,60],[1,3,32],[1,4,97],[1,6,26],[1,7,35],[2,3,26],[2,4,7],[2,5,91],[2,6,54],[2,7,40],[3,4,34],[3,5,72],[3,6,12],[3,7,82],[4,5,98],[4,6,12],[4,7,14],[5,6,95],[6,7,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,20],[0,3,62],[0,5,6],[0,6,50],[0,7,60],[1,3,32],[1,4,97],[1,6,26],[1,7,35],[2,3,26],[2,4,7],[2,5,91],[2,6,54],[2,7,40],[3,4,34],[3,5,72],[3,6,12],[3,7,82],[4,5,98],[4,6,12],[4,7,14],[5,6,95],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,20],[0,3,62],[0,5,6],[0,6,50],[0,7,60],[1,3,32],[1,4,97],[1,6,26],[1,7,35],[2,3,26],[2,4,7],[2,5,91],[2,6,54],[2,7,40],[3,4,34],[3,5,72],[3,6,12],[3,7,82],[4,5,98],[4,6,12],[4,7,14],[5,6,95],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (2,4)\",\"Add (3,6)\",\"Add (4,6)\",\"Add (4,7)\",\"Add (0,2)\",\"Add (1,6)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,20],[0,3,62],[0,5,6],[0,6,50],[0,7,60],[1,3,32],[1,4,97],[1,6,26],[1,7,35],[2,3,26],[2,4,7],[2,5,91],[2,6,54],[2,7,40],[3,4,34],[3,5,72],[3,6,12],[3,7,82],[4,5,98],[4,6,12],[4,7,14],[5,6,95],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=6, w=6\",\"Add (2,4)=7, w=13\",\"Add (3,6)=12, w=25\",\"Add (4,6)=12, w=37\",\"Add (4,7)=14, w=51\",\"Add (0,2)=20, w=71\",\"Add (1,6)=26, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,20],[0,3,62],[0,5,6],[0,6,50],[0,7,60],[1,3,32],[1,4,97],[1,6,26],[1,7,35],[2,3,26],[2,4,7],[2,5,91],[2,6,54],[2,7,40],[3,4,34],[3,5,72],[3,6,12],[3,7,82],[4,5,98],[4,6,12],[4,7,14],[5,6,95],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=6 Succeeded, w=6\",\"Add (2,4)=7 Succeeded, w=13\",\"Add (3,6)=12 Succeeded, w=25\",\"Add (4,6)=12 Succeeded, w=37\",\"Add (4,7)=14 Succeeded, w=51\",\"Add (0,2)=20 Succeeded, w=71\",\"Add (1,6)=26 Succeeded, w=97\",\"Add (2,3)=26 Failed, w=97\",\"Add (1,3)=32 Failed, w=97\",\"Add (3,4)=34 Failed, w=97\",\"Add (1,7)=35 Failed, w=97\",\"Add (2,7)=40 Failed, w=97\",\"Add (0,6)=50 Failed, w=97\",\"Add (2,6)=54 Failed, w=97\",\"Add (0,7)=60 Failed, w=97\",\"Add (0,3)=62 Failed, w=97\",\"Add (3,5)=72 Failed, w=97\",\"Add (3,7)=82 Failed, w=97\",\"Add (2,5)=91 Failed, w=97\",\"Add (5,6)=95 Failed, w=97\",\"Add (6,7)=96 Failed, w=97\",\"Add (1,4)=97 Failed, w=97\",\"Add (4,5)=98 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,20],[0,3,62],[0,5,6],[0,6,50],[0,7,60],[1,3,32],[1,4,97],[1,6,26],[1,7,35],[2,3,26],[2,4,7],[2,5,91],[2,6,54],[2,7,40],[3,4,34],[3,5,72],[3,6,12],[3,7,82],[4,5,98],[4,6,12],[4,7,14],[5,6,95],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=6,(2,4)=7,(3,6)=12,(4,6)=12,(4,7)=14,(0,2)=20,(1,6)=26,(2,3)=26,(1,3)=32,(3,4)=34,(1,7)=35,(2,7)=40,(0,6)=50,(2,6)=54,(0,7)=60,(0,3)=62,(3,5)=72,(3,7)=82,(2,5)=91,(5,6)=95,(6,7)=96,(1,4)=97,(4,5)=98]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=6 Succeeded, w=6\",\"Find(2)=2, Find(4)=4, Add (2,4)=7 Succeeded, w=13\",\"Find(3)=3, Find(6)=6, Add (3,6)=12 Succeeded, w=25\",\"Find(4)=2, Find(6)=3, Add (4,6)=12 Succeeded, w=37\",\"Find(4)=2, Find(7)=7, Add (4,7)=14 Succeeded, w=51\",\"Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=71\",\"Find(1)=1, Find(6)=2, Add (1,6)=26 Succeeded, w=97\",\"Find(2)=2, Find(3)=2, Add (2,3)=26 Failed, w=97\",\"Find(1)=2, Find(3)=2, Add (1,3)=32 Failed, w=97\",\"Find(3)=2, Find(4)=2, Add (3,4)=34 Failed, w=97\",\"Find(1)=2, Find(7)=2, Add (1,7)=35 Failed, w=97\",\"Find(2)=2, Find(7)=2, Add (2,7)=40 Failed, w=97\",\"Find(0)=2, Find(6)=2, Add (0,6)=50 Failed, w=97\",\"Find(2)=2, Find(6)=2, Add (2,6)=54 Failed, w=97\",\"Find(0)=2, Find(7)=2, Add (0,7)=60 Failed, w=97\",\"Find(0)=2, Find(3)=2, Add (0,3)=62 Failed, w=97\",\"Find(3)=2, Find(5)=2, Add (3,5)=72 Failed, w=97\",\"Find(3)=2, Find(7)=2, Add (3,7)=82 Failed, w=97\",\"Find(2)=2, Find(5)=2, Add (2,5)=91 Failed, w=97\",\"Find(5)=2, Find(6)=2, Add (5,6)=95 Failed, w=97\",\"Find(6)=2, Find(7)=2, Add (6,7)=96 Failed, w=97\",\"Find(1)=2, Find(4)=2, Add (1,4)=97 Failed, w=97\",\"Find(4)=2, Find(5)=2, Add (4,5)=98 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,20],[0,3,62],[0,5,6],[0,6,50],[0,7,60],[1,3,32],[1,4,97],[1,6,26],[1,7,35],[2,3,26],[2,4,7],[2,5,91],[2,6,54],[2,7,40],[3,4,34],[3,5,72],[3,6,12],[3,7,82],[4,5,98],[4,6,12],[4,7,14],[5,6,95],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=6,(2,4)=7,(3,6)=12,(4,6)=12,(4,7)=14,(0,2)=20,(1,6)=26,(2,3)=26,(1,3)=32,(3,4)=34,(1,7)=35,(2,7)=40,(0,6)=50,(2,6)=54,(0,7)=60,(0,3)=62,(3,5)=72,(3,7)=82,(2,5)=91,(5,6)=95,(6,7)=96,(1,4)=97,(4,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 0, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 0, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=12 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 0, 6: 3, 7: 7}, Find(4)=2, Find(6)=3, Add (4,6)=12 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 0, 6: 3, 7: 2}, Find(4)=2, Find(7)=7, Add (4,7)=14 Succeeded, w=51\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 0, 6: 3, 7: 2}, Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(1)=1, Find(6)=2, Add (1,6)=26 Succeeded, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=26 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=32 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=34 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=35 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=40 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=50 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(2)=2, Find(6)=2, Add (2,6)=54 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=60 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=62 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=72 Failed, w=97\",\"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)=82 Failed, w=97\",\"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)=91 Failed, w=97\",\"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)=95 Failed, w=97\",\"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)=96 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=97 Failed, w=97\",\"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)=98 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,17],[0,4,14],[1,2,75],[1,3,78],[1,4,87],[2,3,32],[2,4,11],[3,4,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,4,14],[1,2,75],[1,3,78],[1,4,87],[2,3,32],[2,4,11],[3,4,90]]}",
"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\":[[0,1,17],[0,4,14],[1,2,75],[1,3,78],[1,4,87],[2,3,32],[2,4,11],[3,4,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,4)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,4,14],[1,2,75],[1,3,78],[1,4,87],[2,3,32],[2,4,11],[3,4,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=11, w=11\",\"Add (0,4)=14, w=25\",\"Add (0,1)=17, w=42\",\"Add (2,3)=32, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,4,14],[1,2,75],[1,3,78],[1,4,87],[2,3,32],[2,4,11],[3,4,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=11 Succeeded, w=11\",\"Add (0,4)=14 Succeeded, w=25\",\"Add (0,1)=17 Succeeded, w=42\",\"Add (2,3)=32 Succeeded, w=74\",\"Add (1,2)=75 Failed, w=74\",\"Add (1,3)=78 Failed, w=74\",\"Add (1,4)=87 Failed, w=74\",\"Add (3,4)=90 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\":[[0,1,17],[0,4,14],[1,2,75],[1,3,78],[1,4,87],[2,3,32],[2,4,11],[3,4,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=11,(0,4)=14,(0,1)=17,(2,3)=32,(1,2)=75,(1,3)=78,(1,4)=87,(3,4)=90]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=11\",\"Find(0)=0, Find(4)=2, Add (0,4)=14 Succeeded, w=25\",\"Find(0)=2, Find(1)=1, Add (0,1)=17 Succeeded, w=42\",\"Find(2)=2, Find(3)=3, Add (2,3)=32 Succeeded, w=74\",\"Find(1)=2, Find(2)=2, Add (1,2)=75 Failed, w=74\",\"Find(1)=2, Find(3)=2, Add (1,3)=78 Failed, w=74\",\"Find(1)=2, Find(4)=2, Add (1,4)=87 Failed, w=74\",\"Find(3)=2, Find(4)=2, Add (3,4)=90 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\":[[0,1,17],[0,4,14],[1,2,75],[1,3,78],[1,4,87],[2,3,32],[2,4,11],[3,4,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=11,(0,4)=14,(0,1)=17,(2,3)=32,(1,2)=75,(1,3)=78,(1,4)=87,(3,4)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=11\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=14 Succeeded, w=25\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2}, Find(0)=2, Find(1)=1, Add (0,1)=17 Succeeded, w=42\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=3, Add (2,3)=32 Succeeded, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=75 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=78 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=87 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=90 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,11],[0,3,47],[1,2,3],[1,3,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,11],[0,3,47],[1,2,3],[1,3,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,11],[0,3,47],[1,2,3],[1,3,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,11],[0,3,47],[1,2,3],[1,3,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (0,2)=11, w=14\",\"Add (1,3)=36, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,11],[0,3,47],[1,2,3],[1,3,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (0,2)=11 Succeeded, w=14\",\"Add (1,3)=36 Succeeded, w=50\",\"Add (0,3)=47 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,11],[0,3,47],[1,2,3],[1,3,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(0,2)=11,(1,3)=36,(0,3)=47]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(0)=0, Find(2)=1, Add (0,2)=11 Succeeded, w=14\",\"Find(1)=1, Find(3)=3, Add (1,3)=36 Succeeded, w=50\",\"Find(0)=1, Find(3)=1, Add (0,3)=47 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,11],[0,3,47],[1,2,3],[1,3,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(0,2)=11,(1,3)=36,(0,3)=47]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4}, Find(0)=0, Find(2)=1, Add (0,2)=11 Succeeded, w=14\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=36 Succeeded, w=50\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=1, Find(3)=1, Add (0,3)=47 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,32],[0,2,43],[1,2,12],[2,3,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,32],[0,2,43],[1,2,12],[2,3,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,32],[0,2,43],[1,2,12],[2,3,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,32],[0,2,43],[1,2,12],[2,3,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=12, w=12\",\"Add (0,1)=32, w=44\",\"Add (2,3)=73, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,32],[0,2,43],[1,2,12],[2,3,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=12 Succeeded, w=12\",\"Add (0,1)=32 Succeeded, w=44\",\"Add (0,2)=43 Failed, w=44\",\"Add (2,3)=73 Succeeded, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,32],[0,2,43],[1,2,12],[2,3,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=12,(0,1)=32,(0,2)=43,(2,3)=73]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=12\",\"Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=44\",\"Find(0)=1, Find(2)=1, Add (0,2)=43 Failed, w=44\",\"Find(2)=1, Find(3)=3, Add (2,3)=73 Succeeded, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,32],[0,2,43],[1,2,12],[2,3,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=12,(0,1)=32,(0,2)=43,(2,3)=73]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=12\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=44\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=1, Find(2)=1, Add (0,2)=43 Failed, w=44\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=73 Succeeded, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,76],[0,5,47],[0,6,60],[1,3,89],[1,4,23],[1,5,17],[1,6,22],[2,3,61],[2,4,57],[2,5,76],[2,6,20],[3,4,99],[3,5,45],[4,5,55],[4,6,28],[5,6,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,76],[0,5,47],[0,6,60],[1,3,89],[1,4,23],[1,5,17],[1,6,22],[2,3,61],[2,4,57],[2,5,76],[2,6,20],[3,4,99],[3,5,45],[4,5,55],[4,6,28],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,76],[0,5,47],[0,6,60],[1,3,89],[1,4,23],[1,5,17],[1,6,22],[2,3,61],[2,4,57],[2,5,76],[2,6,20],[3,4,99],[3,5,45],[4,5,55],[4,6,28],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (1,5)\",\"Add (2,6)\",\"Add (1,4)\",\"Add (3,5)\",\"Add (0,5)\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,76],[0,5,47],[0,6,60],[1,3,89],[1,4,23],[1,5,17],[1,6,22],[2,3,61],[2,4,57],[2,5,76],[2,6,20],[3,4,99],[3,5,45],[4,5,55],[4,6,28],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=4, w=4\",\"Add (1,5)=17, w=21\",\"Add (2,6)=20, w=41\",\"Add (1,4)=23, w=64\",\"Add (3,5)=45, w=109\",\"Add (0,5)=47, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,76],[0,5,47],[0,6,60],[1,3,89],[1,4,23],[1,5,17],[1,6,22],[2,3,61],[2,4,57],[2,5,76],[2,6,20],[3,4,99],[3,5,45],[4,5,55],[4,6,28],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=4 Succeeded, w=4\",\"Add (1,5)=17 Succeeded, w=21\",\"Add (2,6)=20 Succeeded, w=41\",\"Add (1,6)=22 Failed, w=41\",\"Add (1,4)=23 Succeeded, w=64\",\"Add (4,6)=28 Failed, w=64\",\"Add (3,5)=45 Succeeded, w=109\",\"Add (0,5)=47 Succeeded, w=156\",\"Add (4,5)=55 Failed, w=156\",\"Add (2,4)=57 Failed, w=156\",\"Add (0,6)=60 Failed, w=156\",\"Add (2,3)=61 Failed, w=156\",\"Add (0,3)=76 Failed, w=156\",\"Add (2,5)=76 Failed, w=156\",\"Add (1,3)=89 Failed, w=156\",\"Add (3,4)=99 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,76],[0,5,47],[0,6,60],[1,3,89],[1,4,23],[1,5,17],[1,6,22],[2,3,61],[2,4,57],[2,5,76],[2,6,20],[3,4,99],[3,5,45],[4,5,55],[4,6,28],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=4,(1,5)=17,(2,6)=20,(1,6)=22,(1,4)=23,(4,6)=28,(3,5)=45,(0,5)=47,(4,5)=55,(2,4)=57,(0,6)=60,(2,3)=61,(0,3)=76,(2,5)=76,(1,3)=89,(3,4)=99]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=4 Succeeded, w=4\",\"Find(1)=1, Find(5)=5, Add (1,5)=17 Succeeded, w=21\",\"Find(2)=2, Find(6)=5, Add (2,6)=20 Succeeded, w=41\",\"Find(1)=5, Find(6)=5, Add (1,6)=22 Failed, w=41\",\"Find(1)=5, Find(4)=4, Add (1,4)=23 Succeeded, w=64\",\"Find(4)=5, Find(6)=5, Add (4,6)=28 Failed, w=64\",\"Find(3)=3, Find(5)=5, Add (3,5)=45 Succeeded, w=109\",\"Find(0)=0, Find(5)=5, Add (0,5)=47 Succeeded, w=156\",\"Find(4)=5, Find(5)=5, Add (4,5)=55 Failed, w=156\",\"Find(2)=5, Find(4)=5, Add (2,4)=57 Failed, w=156\",\"Find(0)=5, Find(6)=5, Add (0,6)=60 Failed, w=156\",\"Find(2)=5, Find(3)=5, Add (2,3)=61 Failed, w=156\",\"Find(0)=5, Find(3)=5, Add (0,3)=76 Failed, w=156\",\"Find(2)=5, Find(5)=5, Add (2,5)=76 Failed, w=156\",\"Find(1)=5, Find(3)=5, Add (1,3)=89 Failed, w=156\",\"Find(3)=5, Find(4)=5, Add (3,4)=99 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,76],[0,5,47],[0,6,60],[1,3,89],[1,4,23],[1,5,17],[1,6,22],[2,3,61],[2,4,57],[2,5,76],[2,6,20],[3,4,99],[3,5,45],[4,5,55],[4,6,28],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=4,(1,5)=17,(2,6)=20,(1,6)=22,(1,4)=23,(4,6)=28,(3,5)=45,(0,5)=47,(4,5)=55,(2,4)=57,(0,6)=60,(2,3)=61,(0,3)=76,(2,5)=76,(1,3)=89,(3,4)=99]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(1)=1, Find(5)=5, Add (1,5)=17 Succeeded, w=21\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5}, Find(2)=2, Find(6)=5, Add (2,6)=20 Succeeded, w=41\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5}, Find(1)=5, Find(6)=5, Add (1,6)=22 Failed, w=41\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 3, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(4)=4, Add (1,4)=23 Succeeded, w=64\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 3, 4: 5, 5: 5, 6: 5}, Find(4)=5, Find(6)=5, Add (4,6)=28 Failed, w=64\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(3)=3, Find(5)=5, Add (3,5)=45 Succeeded, w=109\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=0, Find(5)=5, Add (0,5)=47 Succeeded, w=156\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(4)=5, Find(5)=5, Add (4,5)=55 Failed, w=156\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(4)=5, Add (2,4)=57 Failed, w=156\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(6)=5, Add (0,6)=60 Failed, w=156\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(3)=5, Add (2,3)=61 Failed, w=156\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(3)=5, Add (0,3)=76 Failed, w=156\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(5)=5, Add (2,5)=76 Failed, w=156\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(3)=5, Add (1,3)=89 Failed, w=156\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(3)=5, Find(4)=5, Add (3,4)=99 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,30],[1,3,24]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[1,3,24]]}",
"role": "user"
},
{
"content": "{\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[1,3,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[1,3,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=24, w=24\",\"Add (0,1)=30, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[1,3,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=24 Succeeded, w=24\",\"Add (0,1)=30 Succeeded, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[1,3,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=24,(0,1)=30]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=24\",\"Find(0)=0, Find(1)=1, Add (0,1)=30 Succeeded, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[1,3,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=24,(0,1)=30]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=24\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=30 Succeeded, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,63],[0,2,81],[0,3,3],[0,4,92],[0,7,75],[1,2,62],[1,4,48],[1,5,2],[1,6,49],[1,7,80],[2,4,38],[2,5,1],[3,5,69],[3,7,29],[4,5,45],[4,7,9],[5,6,26],[5,7,9]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,63],[0,2,81],[0,3,3],[0,4,92],[0,7,75],[1,2,62],[1,4,48],[1,5,2],[1,6,49],[1,7,80],[2,4,38],[2,5,1],[3,5,69],[3,7,29],[4,5,45],[4,7,9],[5,6,26],[5,7,9]]}",
"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\":[[0,1,63],[0,2,81],[0,3,3],[0,4,92],[0,7,75],[1,2,62],[1,4,48],[1,5,2],[1,6,49],[1,7,80],[2,4,38],[2,5,1],[3,5,69],[3,7,29],[4,5,45],[4,7,9],[5,6,26],[5,7,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,5)\",\"Add (0,3)\",\"Add (4,7)\",\"Add (5,7)\",\"Add (5,6)\",\"Add (3,7)\"],\"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\":[[0,1,63],[0,2,81],[0,3,3],[0,4,92],[0,7,75],[1,2,62],[1,4,48],[1,5,2],[1,6,49],[1,7,80],[2,4,38],[2,5,1],[3,5,69],[3,7,29],[4,5,45],[4,7,9],[5,6,26],[5,7,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=1, w=1\",\"Add (1,5)=2, w=3\",\"Add (0,3)=3, w=6\",\"Add (4,7)=9, w=15\",\"Add (5,7)=9, w=24\",\"Add (5,6)=26, w=50\",\"Add (3,7)=29, 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\":[[0,1,63],[0,2,81],[0,3,3],[0,4,92],[0,7,75],[1,2,62],[1,4,48],[1,5,2],[1,6,49],[1,7,80],[2,4,38],[2,5,1],[3,5,69],[3,7,29],[4,5,45],[4,7,9],[5,6,26],[5,7,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=1 Succeeded, w=1\",\"Add (1,5)=2 Succeeded, w=3\",\"Add (0,3)=3 Succeeded, w=6\",\"Add (4,7)=9 Succeeded, w=15\",\"Add (5,7)=9 Succeeded, w=24\",\"Add (5,6)=26 Succeeded, w=50\",\"Add (3,7)=29 Succeeded, w=79\",\"Add (2,4)=38 Failed, w=79\",\"Add (4,5)=45 Failed, w=79\",\"Add (1,4)=48 Failed, w=79\",\"Add (1,6)=49 Failed, w=79\",\"Add (1,2)=62 Failed, w=79\",\"Add (0,1)=63 Failed, w=79\",\"Add (3,5)=69 Failed, w=79\",\"Add (0,7)=75 Failed, w=79\",\"Add (1,7)=80 Failed, w=79\",\"Add (0,2)=81 Failed, w=79\",\"Add (0,4)=92 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\":[[0,1,63],[0,2,81],[0,3,3],[0,4,92],[0,7,75],[1,2,62],[1,4,48],[1,5,2],[1,6,49],[1,7,80],[2,4,38],[2,5,1],[3,5,69],[3,7,29],[4,5,45],[4,7,9],[5,6,26],[5,7,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=1,(1,5)=2,(0,3)=3,(4,7)=9,(5,7)=9,(5,6)=26,(3,7)=29,(2,4)=38,(4,5)=45,(1,4)=48,(1,6)=49,(1,2)=62,(0,1)=63,(3,5)=69,(0,7)=75,(1,7)=80,(0,2)=81,(0,4)=92]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=1\",\"Find(1)=1, Find(5)=2, Add (1,5)=2 Succeeded, w=3\",\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=6\",\"Find(4)=4, Find(7)=7, Add (4,7)=9 Succeeded, w=15\",\"Find(5)=2, Find(7)=4, Add (5,7)=9 Succeeded, w=24\",\"Find(5)=2, Find(6)=6, Add (5,6)=26 Succeeded, w=50\",\"Find(3)=0, Find(7)=2, Add (3,7)=29 Succeeded, w=79\",\"Find(2)=2, Find(4)=2, Add (2,4)=38 Failed, w=79\",\"Find(4)=2, Find(5)=2, Add (4,5)=45 Failed, w=79\",\"Find(1)=2, Find(4)=2, Add (1,4)=48 Failed, w=79\",\"Find(1)=2, Find(6)=2, Add (1,6)=49 Failed, w=79\",\"Find(1)=2, Find(2)=2, Add (1,2)=62 Failed, w=79\",\"Find(0)=2, Find(1)=2, Add (0,1)=63 Failed, w=79\",\"Find(3)=2, Find(5)=2, Add (3,5)=69 Failed, w=79\",\"Find(0)=2, Find(7)=2, Add (0,7)=75 Failed, w=79\",\"Find(1)=2, Find(7)=2, Add (1,7)=80 Failed, w=79\",\"Find(0)=2, Find(2)=2, Add (0,2)=81 Failed, w=79\",\"Find(0)=2, Find(4)=2, Add (0,4)=92 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\":[[0,1,63],[0,2,81],[0,3,3],[0,4,92],[0,7,75],[1,2,62],[1,4,48],[1,5,2],[1,6,49],[1,7,80],[2,4,38],[2,5,1],[3,5,69],[3,7,29],[4,5,45],[4,7,9],[5,6,26],[5,7,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=1,(1,5)=2,(0,3)=3,(4,7)=9,(5,7)=9,(5,6)=26,(3,7)=29,(2,4)=38,(4,5)=45,(1,4)=48,(1,6)=49,(1,2)=62,(0,1)=63,(3,5)=69,(0,7)=75,(1,7)=80,(0,2)=81,(0,4)=92]\",\"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: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(1)=1, Find(5)=2, Add (1,5)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 4, 5: 2, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=6\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 4, 5: 2, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=9 Succeeded, w=15\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 6, 7: 4}, Find(5)=2, Find(7)=4, Add (5,7)=9 Succeeded, w=24\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 4}, Find(5)=2, Find(6)=6, Add (5,6)=26 Succeeded, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=0, Find(7)=2, Add (3,7)=29 Succeeded, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=38 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=45 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=48 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=49 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=62 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=63 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=69 Failed, w=79\",\"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)=75 Failed, w=79\",\"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)=80 Failed, w=79\",\"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)=81 Failed, w=79\",\"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)=92 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,97],[0,3,45],[1,2,4],[1,3,76]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,97],[0,3,45],[1,2,4],[1,3,76]]}",
"role": "user"
},
{
"content": "{\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,97],[0,3,45],[1,2,4],[1,3,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,97],[0,3,45],[1,2,4],[1,3,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4, w=4\",\"Add (0,3)=45, w=49\",\"Add (1,3)=76, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,97],[0,3,45],[1,2,4],[1,3,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4 Succeeded, w=4\",\"Add (0,3)=45 Succeeded, w=49\",\"Add (1,3)=76 Succeeded, w=125\",\"Add (0,2)=97 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,97],[0,3,45],[1,2,4],[1,3,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(0,3)=45,(1,3)=76,(0,2)=97]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Find(0)=0, Find(3)=3, Add (0,3)=45 Succeeded, w=49\",\"Find(1)=1, Find(3)=0, Add (1,3)=76 Succeeded, w=125\",\"Find(0)=1, Find(2)=1, Add (0,2)=97 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,97],[0,3,45],[1,2,4],[1,3,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(0,3)=45,(1,3)=76,(0,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=45 Succeeded, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=76 Succeeded, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(0)=1, Find(2)=1, Add (0,2)=97 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,3],[0,2,12],[0,3,87],[0,4,56],[1,2,73],[1,3,57],[1,5,57],[2,4,92],[3,4,7],[3,5,34],[4,5,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,2,12],[0,3,87],[0,4,56],[1,2,73],[1,3,57],[1,5,57],[2,4,92],[3,4,7],[3,5,34],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,2,12],[0,3,87],[0,4,56],[1,2,73],[1,3,57],[1,5,57],[2,4,92],[3,4,7],[3,5,34],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (3,5)\",\"Add (0,4)\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,2,12],[0,3,87],[0,4,56],[1,2,73],[1,3,57],[1,5,57],[2,4,92],[3,4,7],[3,5,34],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3, w=3\",\"Add (3,4)=7, w=10\",\"Add (0,2)=12, w=22\",\"Add (3,5)=34, w=56\",\"Add (0,4)=56, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,2,12],[0,3,87],[0,4,56],[1,2,73],[1,3,57],[1,5,57],[2,4,92],[3,4,7],[3,5,34],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3 Succeeded, w=3\",\"Add (3,4)=7 Succeeded, w=10\",\"Add (0,2)=12 Succeeded, w=22\",\"Add (3,5)=34 Succeeded, w=56\",\"Add (0,4)=56 Succeeded, w=112\",\"Add (1,3)=57 Failed, w=112\",\"Add (1,5)=57 Failed, w=112\",\"Add (1,2)=73 Failed, w=112\",\"Add (0,3)=87 Failed, w=112\",\"Add (4,5)=89 Failed, w=112\",\"Add (2,4)=92 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,2,12],[0,3,87],[0,4,56],[1,2,73],[1,3,57],[1,5,57],[2,4,92],[3,4,7],[3,5,34],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(3,4)=7,(0,2)=12,(3,5)=34,(0,4)=56,(1,3)=57,(1,5)=57,(1,2)=73,(0,3)=87,(4,5)=89,(2,4)=92]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(3)=3, Find(4)=4, Add (3,4)=7 Succeeded, w=10\",\"Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=22\",\"Find(3)=3, Find(5)=5, Add (3,5)=34 Succeeded, w=56\",\"Find(0)=0, Find(4)=3, Add (0,4)=56 Succeeded, w=112\",\"Find(1)=0, Find(3)=0, Add (1,3)=57 Failed, w=112\",\"Find(1)=0, Find(5)=0, Add (1,5)=57 Failed, w=112\",\"Find(1)=0, Find(2)=0, Add (1,2)=73 Failed, w=112\",\"Find(0)=0, Find(3)=0, Add (0,3)=87 Failed, w=112\",\"Find(4)=0, Find(5)=0, Add (4,5)=89 Failed, w=112\",\"Find(2)=0, Find(4)=0, Add (2,4)=92 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,2,12],[0,3,87],[0,4,56],[1,2,73],[1,3,57],[1,5,57],[2,4,92],[3,4,7],[3,5,34],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(3,4)=7,(0,2)=12,(3,5)=34,(0,4)=56,(1,3)=57,(1,5)=57,(1,2)=73,(0,3)=87,(4,5)=89,(2,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=7 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=34 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 3}, Find(0)=0, Find(4)=3, Add (0,4)=56 Succeeded, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 3}, Find(1)=0, Find(3)=0, Add (1,3)=57 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=57 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=73 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=87 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=89 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=92 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,65],[0,2,83],[0,4,41],[0,6,16],[1,3,28],[2,5,71],[2,6,30],[3,5,3],[5,6,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,83],[0,4,41],[0,6,16],[1,3,28],[2,5,71],[2,6,30],[3,5,3],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,83],[0,4,41],[0,6,16],[1,3,28],[2,5,71],[2,6,30],[3,5,3],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,6)\",\"Add (1,3)\",\"Add (2,6)\",\"Add (0,4)\",\"Add (5,6)\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,83],[0,4,41],[0,6,16],[1,3,28],[2,5,71],[2,6,30],[3,5,3],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=3, w=3\",\"Add (0,6)=16, w=19\",\"Add (1,3)=28, w=47\",\"Add (2,6)=30, w=77\",\"Add (0,4)=41, w=118\",\"Add (5,6)=48, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,83],[0,4,41],[0,6,16],[1,3,28],[2,5,71],[2,6,30],[3,5,3],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=3 Succeeded, w=3\",\"Add (0,6)=16 Succeeded, w=19\",\"Add (1,3)=28 Succeeded, w=47\",\"Add (2,6)=30 Succeeded, w=77\",\"Add (0,4)=41 Succeeded, w=118\",\"Add (5,6)=48 Succeeded, w=166\",\"Add (0,1)=65 Failed, w=166\",\"Add (2,5)=71 Failed, w=166\",\"Add (0,2)=83 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,83],[0,4,41],[0,6,16],[1,3,28],[2,5,71],[2,6,30],[3,5,3],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=3,(0,6)=16,(1,3)=28,(2,6)=30,(0,4)=41,(5,6)=48,(0,1)=65,(2,5)=71,(0,2)=83]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=3 Succeeded, w=3\",\"Find(0)=0, Find(6)=6, Add (0,6)=16 Succeeded, w=19\",\"Find(1)=1, Find(3)=3, Add (1,3)=28 Succeeded, w=47\",\"Find(2)=2, Find(6)=0, Add (2,6)=30 Succeeded, w=77\",\"Find(0)=0, Find(4)=4, Add (0,4)=41 Succeeded, w=118\",\"Find(5)=3, Find(6)=0, Add (5,6)=48 Succeeded, w=166\",\"Find(0)=3, Find(1)=3, Add (0,1)=65 Failed, w=166\",\"Find(2)=3, Find(5)=3, Add (2,5)=71 Failed, w=166\",\"Find(0)=3, Find(2)=3, Add (0,2)=83 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,83],[0,4,41],[0,6,16],[1,3,28],[2,5,71],[2,6,30],[3,5,3],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=3,(0,6)=16,(1,3)=28,(2,6)=30,(0,4)=41,(5,6)=48,(0,1)=65,(2,5)=71,(0,2)=83]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=16 Succeeded, w=19\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3, 6: 0}, Find(1)=1, Find(3)=3, Add (1,3)=28 Succeeded, w=47\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 4, 5: 3, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=30 Succeeded, w=77\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 0, 5: 3, 6: 0}, Find(0)=0, Find(4)=4, Add (0,4)=41 Succeeded, w=118\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 0, 5: 3, 6: 0}, Find(5)=3, Find(6)=0, Add (5,6)=48 Succeeded, w=166\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 0, 5: 3, 6: 0}, Find(0)=3, Find(1)=3, Add (0,1)=65 Failed, w=166\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 0, 5: 3, 6: 0}, Find(2)=3, Find(5)=3, Add (2,5)=71 Failed, w=166\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 0, 5: 3, 6: 0}, Find(0)=3, Find(2)=3, Add (0,2)=83 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,75],[0,4,76],[1,2,56],[1,4,34],[1,5,26],[1,6,46],[2,5,11],[2,6,69],[2,7,90],[3,4,48],[3,5,22],[3,6,19],[4,5,52],[4,6,100],[4,7,71],[5,6,62],[5,7,40]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,4,76],[1,2,56],[1,4,34],[1,5,26],[1,6,46],[2,5,11],[2,6,69],[2,7,90],[3,4,48],[3,5,22],[3,6,19],[4,5,52],[4,6,100],[4,7,71],[5,6,62],[5,7,40]]}",
"role": "user"
},
{
"content": "{\"Answer\":227}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,4,76],[1,2,56],[1,4,34],[1,5,26],[1,6,46],[2,5,11],[2,6,69],[2,7,90],[3,4,48],[3,5,22],[3,6,19],[4,5,52],[4,6,100],[4,7,71],[5,6,62],[5,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (3,6)\",\"Add (3,5)\",\"Add (1,5)\",\"Add (1,4)\",\"Add (5,7)\",\"Add (0,2)\"],\"Answer\":227}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,4,76],[1,2,56],[1,4,34],[1,5,26],[1,6,46],[2,5,11],[2,6,69],[2,7,90],[3,4,48],[3,5,22],[3,6,19],[4,5,52],[4,6,100],[4,7,71],[5,6,62],[5,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=11, w=11\",\"Add (3,6)=19, w=30\",\"Add (3,5)=22, w=52\",\"Add (1,5)=26, w=78\",\"Add (1,4)=34, w=112\",\"Add (5,7)=40, w=152\",\"Add (0,2)=75, w=227\"],\"Answer\":227}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,4,76],[1,2,56],[1,4,34],[1,5,26],[1,6,46],[2,5,11],[2,6,69],[2,7,90],[3,4,48],[3,5,22],[3,6,19],[4,5,52],[4,6,100],[4,7,71],[5,6,62],[5,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=11 Succeeded, w=11\",\"Add (3,6)=19 Succeeded, w=30\",\"Add (3,5)=22 Succeeded, w=52\",\"Add (1,5)=26 Succeeded, w=78\",\"Add (1,4)=34 Succeeded, w=112\",\"Add (5,7)=40 Succeeded, w=152\",\"Add (1,6)=46 Failed, w=152\",\"Add (3,4)=48 Failed, w=152\",\"Add (4,5)=52 Failed, w=152\",\"Add (1,2)=56 Failed, w=152\",\"Add (5,6)=62 Failed, w=152\",\"Add (2,6)=69 Failed, w=152\",\"Add (4,7)=71 Failed, w=152\",\"Add (0,2)=75 Succeeded, w=227\",\"Add (0,4)=76 Failed, w=227\",\"Add (2,7)=90 Failed, w=227\",\"Add (4,6)=100 Failed, w=227\"],\"Answer\":227}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,4,76],[1,2,56],[1,4,34],[1,5,26],[1,6,46],[2,5,11],[2,6,69],[2,7,90],[3,4,48],[3,5,22],[3,6,19],[4,5,52],[4,6,100],[4,7,71],[5,6,62],[5,7,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=11,(3,6)=19,(3,5)=22,(1,5)=26,(1,4)=34,(5,7)=40,(1,6)=46,(3,4)=48,(4,5)=52,(1,2)=56,(5,6)=62,(2,6)=69,(4,7)=71,(0,2)=75,(0,4)=76,(2,7)=90,(4,6)=100]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=11\",\"Find(3)=3, Find(6)=6, Add (3,6)=19 Succeeded, w=30\",\"Find(3)=3, Find(5)=2, Add (3,5)=22 Succeeded, w=52\",\"Find(1)=1, Find(5)=3, Add (1,5)=26 Succeeded, w=78\",\"Find(1)=3, Find(4)=4, Add (1,4)=34 Succeeded, w=112\",\"Find(5)=3, Find(7)=7, Add (5,7)=40 Succeeded, w=152\",\"Find(1)=3, Find(6)=3, Add (1,6)=46 Failed, w=152\",\"Find(3)=3, Find(4)=3, Add (3,4)=48 Failed, w=152\",\"Find(4)=3, Find(5)=3, Add (4,5)=52 Failed, w=152\",\"Find(1)=3, Find(2)=3, Add (1,2)=56 Failed, w=152\",\"Find(5)=3, Find(6)=3, Add (5,6)=62 Failed, w=152\",\"Find(2)=3, Find(6)=3, Add (2,6)=69 Failed, w=152\",\"Find(4)=3, Find(7)=3, Add (4,7)=71 Failed, w=152\",\"Find(0)=0, Find(2)=3, Add (0,2)=75 Succeeded, w=227\",\"Find(0)=3, Find(4)=3, Add (0,4)=76 Failed, w=227\",\"Find(2)=3, Find(7)=3, Add (2,7)=90 Failed, w=227\",\"Find(4)=3, Find(6)=3, Add (4,6)=100 Failed, w=227\"],\"Answer\":227}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,4,76],[1,2,56],[1,4,34],[1,5,26],[1,6,46],[2,5,11],[2,6,69],[2,7,90],[3,4,48],[3,5,22],[3,6,19],[4,5,52],[4,6,100],[4,7,71],[5,6,62],[5,7,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=11,(3,6)=19,(3,5)=22,(1,5)=26,(1,4)=34,(5,7)=40,(1,6)=46,(3,4)=48,(4,5)=52,(1,2)=56,(5,6)=62,(2,6)=69,(4,7)=71,(0,2)=75,(0,4)=76,(2,7)=90,(4,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=19 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 2, 6: 3, 7: 7}, Find(3)=3, Find(5)=2, Add (3,5)=22 Succeeded, w=52\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 7}, Find(1)=1, Find(5)=3, Add (1,5)=26 Succeeded, w=78\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 7}, Find(1)=3, Find(4)=4, Add (1,4)=34 Succeeded, w=112\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=7, Add (5,7)=40 Succeeded, w=152\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(6)=3, Add (1,6)=46 Failed, w=152\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(4)=3, Add (3,4)=48 Failed, w=152\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=52 Failed, w=152\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=56 Failed, w=152\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=3, Add (5,6)=62 Failed, w=152\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(6)=3, Add (2,6)=69 Failed, w=152\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=71 Failed, w=152\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=0, Find(2)=3, Add (0,2)=75 Succeeded, w=227\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=76 Failed, w=227\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=90 Failed, w=227\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=100 Failed, w=227\"],\"Answer\":227}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,54],[0,2,76],[0,3,89],[0,5,63],[0,6,96],[1,2,84],[1,3,92],[1,4,10],[1,5,94],[1,6,70],[2,3,46],[2,5,29],[2,6,62],[3,5,27],[3,6,68],[5,6,17]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,76],[0,3,89],[0,5,63],[0,6,96],[1,2,84],[1,3,92],[1,4,10],[1,5,94],[1,6,70],[2,3,46],[2,5,29],[2,6,62],[3,5,27],[3,6,68],[5,6,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,76],[0,3,89],[0,5,63],[0,6,96],[1,2,84],[1,3,92],[1,4,10],[1,5,94],[1,6,70],[2,3,46],[2,5,29],[2,6,62],[3,5,27],[3,6,68],[5,6,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (5,6)\",\"Add (3,5)\",\"Add (2,5)\",\"Add (0,1)\",\"Add (0,5)\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,76],[0,3,89],[0,5,63],[0,6,96],[1,2,84],[1,3,92],[1,4,10],[1,5,94],[1,6,70],[2,3,46],[2,5,29],[2,6,62],[3,5,27],[3,6,68],[5,6,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=10, w=10\",\"Add (5,6)=17, w=27\",\"Add (3,5)=27, w=54\",\"Add (2,5)=29, w=83\",\"Add (0,1)=54, w=137\",\"Add (0,5)=63, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,76],[0,3,89],[0,5,63],[0,6,96],[1,2,84],[1,3,92],[1,4,10],[1,5,94],[1,6,70],[2,3,46],[2,5,29],[2,6,62],[3,5,27],[3,6,68],[5,6,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=10 Succeeded, w=10\",\"Add (5,6)=17 Succeeded, w=27\",\"Add (3,5)=27 Succeeded, w=54\",\"Add (2,5)=29 Succeeded, w=83\",\"Add (2,3)=46 Failed, w=83\",\"Add (0,1)=54 Succeeded, w=137\",\"Add (2,6)=62 Failed, w=137\",\"Add (0,5)=63 Succeeded, w=200\",\"Add (3,6)=68 Failed, w=200\",\"Add (1,6)=70 Failed, w=200\",\"Add (0,2)=76 Failed, w=200\",\"Add (1,2)=84 Failed, w=200\",\"Add (0,3)=89 Failed, w=200\",\"Add (1,3)=92 Failed, w=200\",\"Add (1,5)=94 Failed, w=200\",\"Add (0,6)=96 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,76],[0,3,89],[0,5,63],[0,6,96],[1,2,84],[1,3,92],[1,4,10],[1,5,94],[1,6,70],[2,3,46],[2,5,29],[2,6,62],[3,5,27],[3,6,68],[5,6,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=10,(5,6)=17,(3,5)=27,(2,5)=29,(2,3)=46,(0,1)=54,(2,6)=62,(0,5)=63,(3,6)=68,(1,6)=70,(0,2)=76,(1,2)=84,(0,3)=89,(1,3)=92,(1,5)=94,(0,6)=96]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=10\",\"Find(5)=5, Find(6)=6, Add (5,6)=17 Succeeded, w=27\",\"Find(3)=3, Find(5)=5, Add (3,5)=27 Succeeded, w=54\",\"Find(2)=2, Find(5)=5, Add (2,5)=29 Succeeded, w=83\",\"Find(2)=5, Find(3)=5, Add (2,3)=46 Failed, w=83\",\"Find(0)=0, Find(1)=1, Add (0,1)=54 Succeeded, w=137\",\"Find(2)=5, Find(6)=5, Add (2,6)=62 Failed, w=137\",\"Find(0)=1, Find(5)=5, Add (0,5)=63 Succeeded, w=200\",\"Find(3)=1, Find(6)=1, Add (3,6)=68 Failed, w=200\",\"Find(1)=1, Find(6)=1, Add (1,6)=70 Failed, w=200\",\"Find(0)=1, Find(2)=1, Add (0,2)=76 Failed, w=200\",\"Find(1)=1, Find(2)=1, Add (1,2)=84 Failed, w=200\",\"Find(0)=1, Find(3)=1, Add (0,3)=89 Failed, w=200\",\"Find(1)=1, Find(3)=1, Add (1,3)=92 Failed, w=200\",\"Find(1)=1, Find(5)=1, Add (1,5)=94 Failed, w=200\",\"Find(0)=1, Find(6)=1, Add (0,6)=96 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,76],[0,3,89],[0,5,63],[0,6,96],[1,2,84],[1,3,92],[1,4,10],[1,5,94],[1,6,70],[2,3,46],[2,5,29],[2,6,62],[3,5,27],[3,6,68],[5,6,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=10,(5,6)=17,(3,5)=27,(2,5)=29,(2,3)=46,(0,1)=54,(2,6)=62,(0,5)=63,(3,6)=68,(1,6)=70,(0,2)=76,(1,2)=84,(0,3)=89,(1,3)=92,(1,5)=94,(0,6)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=17 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 1, 5: 5, 6: 5}, Find(3)=3, Find(5)=5, Add (3,5)=27 Succeeded, w=54\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5}, Find(2)=2, Find(5)=5, Add (2,5)=29 Succeeded, w=83\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5}, Find(2)=5, Find(3)=5, Add (2,3)=46 Failed, w=83\",\"Parent: {0: 1, 1: 1, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5}, Find(0)=0, Find(1)=1, Add (0,1)=54 Succeeded, w=137\",\"Parent: {0: 1, 1: 1, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5}, Find(2)=5, Find(6)=5, Add (2,6)=62 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 5, 3: 5, 4: 1, 5: 1, 6: 5}, Find(0)=1, Find(5)=5, Add (0,5)=63 Succeeded, w=200\",\"Parent: {0: 1, 1: 1, 2: 5, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=68 Failed, w=200\",\"Parent: {0: 1, 1: 1, 2: 5, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=70 Failed, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=76 Failed, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=84 Failed, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=89 Failed, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=92 Failed, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=94 Failed, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=96 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,56],[1,2,13],[2,3,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,56],[1,2,13],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,56],[1,2,13],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,56],[1,2,13],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=13, w=13\",\"Add (0,2)=56, w=69\",\"Add (2,3)=60, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,56],[1,2,13],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=13 Succeeded, w=13\",\"Add (0,2)=56 Succeeded, w=69\",\"Add (2,3)=60 Succeeded, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,56],[1,2,13],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=13,(0,2)=56,(2,3)=60]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=13\",\"Find(0)=0, Find(2)=1, Add (0,2)=56 Succeeded, w=69\",\"Find(2)=1, Find(3)=3, Add (2,3)=60 Succeeded, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,56],[1,2,13],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=13,(0,2)=56,(2,3)=60]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=13\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(2)=1, Add (0,2)=56 Succeeded, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=60 Succeeded, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,8],[0,2,92],[0,4,10],[1,2,23],[2,3,77],[2,4,49],[3,4,93]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,92],[0,4,10],[1,2,23],[2,3,77],[2,4,49],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,92],[0,4,10],[1,2,23],[2,3,77],[2,4,49],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,92],[0,4,10],[1,2,23],[2,3,77],[2,4,49],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8, w=8\",\"Add (0,4)=10, w=18\",\"Add (1,2)=23, w=41\",\"Add (2,3)=77, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,92],[0,4,10],[1,2,23],[2,3,77],[2,4,49],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8 Succeeded, w=8\",\"Add (0,4)=10 Succeeded, w=18\",\"Add (1,2)=23 Succeeded, w=41\",\"Add (2,4)=49 Failed, w=41\",\"Add (2,3)=77 Succeeded, w=118\",\"Add (0,2)=92 Failed, w=118\",\"Add (3,4)=93 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,92],[0,4,10],[1,2,23],[2,3,77],[2,4,49],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(0,4)=10,(1,2)=23,(2,4)=49,(2,3)=77,(0,2)=92,(3,4)=93]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=18\",\"Find(1)=0, Find(2)=2, Add (1,2)=23 Succeeded, w=41\",\"Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=41\",\"Find(2)=0, Find(3)=3, Add (2,3)=77 Succeeded, w=118\",\"Find(0)=0, Find(2)=0, Add (0,2)=92 Failed, w=118\",\"Find(3)=0, Find(4)=0, Add (3,4)=93 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,92],[0,4,10],[1,2,23],[2,3,77],[2,4,49],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(0,4)=10,(1,2)=23,(2,4)=49,(2,3)=77,(0,2)=92,(3,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(2)=2, Add (1,2)=23 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=3, Add (2,3)=77 Succeeded, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=92 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=93 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,97],[0,3,87],[0,4,33],[0,6,84],[1,3,64],[1,5,69],[1,6,66],[2,4,80],[2,5,7],[2,6,3],[3,4,85],[4,5,65],[4,7,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,3,87],[0,4,33],[0,6,84],[1,3,64],[1,5,69],[1,6,66],[2,4,80],[2,5,7],[2,6,3],[3,4,85],[4,5,65],[4,7,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":326}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,3,87],[0,4,33],[0,6,84],[1,3,64],[1,5,69],[1,6,66],[2,4,80],[2,5,7],[2,6,3],[3,4,85],[4,5,65],[4,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (2,5)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (4,5)\",\"Add (1,6)\",\"Add (4,7)\"],\"Answer\":326}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,3,87],[0,4,33],[0,6,84],[1,3,64],[1,5,69],[1,6,66],[2,4,80],[2,5,7],[2,6,3],[3,4,85],[4,5,65],[4,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=3, w=3\",\"Add (2,5)=7, w=10\",\"Add (0,4)=33, w=43\",\"Add (1,3)=64, w=107\",\"Add (4,5)=65, w=172\",\"Add (1,6)=66, w=238\",\"Add (4,7)=88, w=326\"],\"Answer\":326}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,3,87],[0,4,33],[0,6,84],[1,3,64],[1,5,69],[1,6,66],[2,4,80],[2,5,7],[2,6,3],[3,4,85],[4,5,65],[4,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=3 Succeeded, w=3\",\"Add (2,5)=7 Succeeded, w=10\",\"Add (0,4)=33 Succeeded, w=43\",\"Add (1,3)=64 Succeeded, w=107\",\"Add (4,5)=65 Succeeded, w=172\",\"Add (1,6)=66 Succeeded, w=238\",\"Add (1,5)=69 Failed, w=238\",\"Add (2,4)=80 Failed, w=238\",\"Add (0,6)=84 Failed, w=238\",\"Add (3,4)=85 Failed, w=238\",\"Add (0,3)=87 Failed, w=238\",\"Add (4,7)=88 Succeeded, w=326\",\"Add (0,1)=97 Failed, w=326\"],\"Answer\":326}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,3,87],[0,4,33],[0,6,84],[1,3,64],[1,5,69],[1,6,66],[2,4,80],[2,5,7],[2,6,3],[3,4,85],[4,5,65],[4,7,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=3,(2,5)=7,(0,4)=33,(1,3)=64,(4,5)=65,(1,6)=66,(1,5)=69,(2,4)=80,(0,6)=84,(3,4)=85,(0,3)=87,(4,7)=88,(0,1)=97]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=3 Succeeded, w=3\",\"Find(2)=2, Find(5)=5, Add (2,5)=7 Succeeded, w=10\",\"Find(0)=0, Find(4)=4, Add (0,4)=33 Succeeded, w=43\",\"Find(1)=1, Find(3)=3, Add (1,3)=64 Succeeded, w=107\",\"Find(4)=0, Find(5)=2, Add (4,5)=65 Succeeded, w=172\",\"Find(1)=1, Find(6)=0, Add (1,6)=66 Succeeded, w=238\",\"Find(1)=0, Find(5)=0, Add (1,5)=69 Failed, w=238\",\"Find(2)=0, Find(4)=0, Add (2,4)=80 Failed, w=238\",\"Find(0)=0, Find(6)=0, Add (0,6)=84 Failed, w=238\",\"Find(3)=0, Find(4)=0, Add (3,4)=85 Failed, w=238\",\"Find(0)=0, Find(3)=0, Add (0,3)=87 Failed, w=238\",\"Find(4)=0, Find(7)=7, Add (4,7)=88 Succeeded, w=326\",\"Find(0)=0, Find(1)=0, Add (0,1)=97 Failed, w=326\"],\"Answer\":326}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,3,87],[0,4,33],[0,6,84],[1,3,64],[1,5,69],[1,6,66],[2,4,80],[2,5,7],[2,6,3],[3,4,85],[4,5,65],[4,7,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=3,(2,5)=7,(0,4)=33,(1,3)=64,(4,5)=65,(1,6)=66,(1,5)=69,(2,4)=80,(0,6)=84,(3,4)=85,(0,3)=87,(4,7)=88,(0,1)=97]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=7 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 2, 6: 2, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=33 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 2, 6: 2, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=64 Succeeded, w=107\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 2, 6: 2, 7: 7}, Find(4)=0, Find(5)=2, Add (4,5)=65 Succeeded, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 2, 6: 0, 7: 7}, Find(1)=1, Find(6)=0, Add (1,6)=66 Succeeded, w=238\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 7}, Find(1)=0, Find(5)=0, Add (1,5)=69 Failed, w=238\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 7}, Find(2)=0, Find(4)=0, Add (2,4)=80 Failed, w=238\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 7}, Find(0)=0, Find(6)=0, Add (0,6)=84 Failed, w=238\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(3)=0, Find(4)=0, Add (3,4)=85 Failed, w=238\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(0)=0, Find(3)=0, Add (0,3)=87 Failed, w=238\",\"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)=88 Succeeded, w=326\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=97 Failed, w=326\"],\"Answer\":326}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,43],[0,2,7],[0,3,87],[0,4,89],[1,2,88],[1,3,43],[1,4,98],[2,3,16],[2,4,74],[3,4,78]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,43],[0,2,7],[0,3,87],[0,4,89],[1,2,88],[1,3,43],[1,4,98],[2,3,16],[2,4,74],[3,4,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,43],[0,2,7],[0,3,87],[0,4,89],[1,2,88],[1,3,43],[1,4,98],[2,3,16],[2,4,74],[3,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (2,4)\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,43],[0,2,7],[0,3,87],[0,4,89],[1,2,88],[1,3,43],[1,4,98],[2,3,16],[2,4,74],[3,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7, w=7\",\"Add (2,3)=16, w=23\",\"Add (0,1)=43, w=66\",\"Add (2,4)=74, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,43],[0,2,7],[0,3,87],[0,4,89],[1,2,88],[1,3,43],[1,4,98],[2,3,16],[2,4,74],[3,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7 Succeeded, w=7\",\"Add (2,3)=16 Succeeded, w=23\",\"Add (0,1)=43 Succeeded, w=66\",\"Add (1,3)=43 Failed, w=66\",\"Add (2,4)=74 Succeeded, w=140\",\"Add (3,4)=78 Failed, w=140\",\"Add (0,3)=87 Failed, w=140\",\"Add (1,2)=88 Failed, w=140\",\"Add (0,4)=89 Failed, w=140\",\"Add (1,4)=98 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,43],[0,2,7],[0,3,87],[0,4,89],[1,2,88],[1,3,43],[1,4,98],[2,3,16],[2,4,74],[3,4,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(2,3)=16,(0,1)=43,(1,3)=43,(2,4)=74,(3,4)=78,(0,3)=87,(1,2)=88,(0,4)=89,(1,4)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Find(2)=0, Find(3)=3, Add (2,3)=16 Succeeded, w=23\",\"Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=66\",\"Find(1)=0, Find(3)=0, Add (1,3)=43 Failed, w=66\",\"Find(2)=0, Find(4)=4, Add (2,4)=74 Succeeded, w=140\",\"Find(3)=0, Find(4)=0, Add (3,4)=78 Failed, w=140\",\"Find(0)=0, Find(3)=0, Add (0,3)=87 Failed, w=140\",\"Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=140\",\"Find(0)=0, Find(4)=0, Add (0,4)=89 Failed, w=140\",\"Find(1)=0, Find(4)=0, Add (1,4)=98 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,43],[0,2,7],[0,3,87],[0,4,89],[1,2,88],[1,3,43],[1,4,98],[2,3,16],[2,4,74],[3,4,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(2,3)=16,(0,1)=43,(1,3)=43,(2,4)=74,(3,4)=78,(0,3)=87,(1,2)=88,(0,4)=89,(1,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(2)=0, Find(3)=3, Add (2,3)=16 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(3)=0, Add (1,3)=43 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=74 Succeeded, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=78 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=87 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=89 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=98 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,3],[0,2,76],[0,3,53],[0,4,85],[0,5,92],[1,2,75],[1,3,70],[1,5,46],[2,4,9],[2,5,87],[3,4,0],[3,5,46],[4,5,92]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,2,76],[0,3,53],[0,4,85],[0,5,92],[1,2,75],[1,3,70],[1,5,46],[2,4,9],[2,5,87],[3,4,0],[3,5,46],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,2,76],[0,3,53],[0,4,85],[0,5,92],[1,2,75],[1,3,70],[1,5,46],[2,4,9],[2,5,87],[3,4,0],[3,5,46],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (1,5)\",\"Add (3,5)\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,2,76],[0,3,53],[0,4,85],[0,5,92],[1,2,75],[1,3,70],[1,5,46],[2,4,9],[2,5,87],[3,4,0],[3,5,46],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=0, w=0\",\"Add (0,1)=3, w=3\",\"Add (2,4)=9, w=12\",\"Add (1,5)=46, w=58\",\"Add (3,5)=46, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,2,76],[0,3,53],[0,4,85],[0,5,92],[1,2,75],[1,3,70],[1,5,46],[2,4,9],[2,5,87],[3,4,0],[3,5,46],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=0 Succeeded, w=0\",\"Add (0,1)=3 Succeeded, w=3\",\"Add (2,4)=9 Succeeded, w=12\",\"Add (1,5)=46 Succeeded, w=58\",\"Add (3,5)=46 Succeeded, w=104\",\"Add (0,3)=53 Failed, w=104\",\"Add (1,3)=70 Failed, w=104\",\"Add (1,2)=75 Failed, w=104\",\"Add (0,2)=76 Failed, w=104\",\"Add (0,4)=85 Failed, w=104\",\"Add (2,5)=87 Failed, w=104\",\"Add (0,5)=92 Failed, w=104\",\"Add (4,5)=92 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,2,76],[0,3,53],[0,4,85],[0,5,92],[1,2,75],[1,3,70],[1,5,46],[2,4,9],[2,5,87],[3,4,0],[3,5,46],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=0,(0,1)=3,(2,4)=9,(1,5)=46,(3,5)=46,(0,3)=53,(1,3)=70,(1,2)=75,(0,2)=76,(0,4)=85,(2,5)=87,(0,5)=92,(4,5)=92]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(2)=2, Find(4)=3, Add (2,4)=9 Succeeded, w=12\",\"Find(1)=0, Find(5)=5, Add (1,5)=46 Succeeded, w=58\",\"Find(3)=3, Find(5)=0, Add (3,5)=46 Succeeded, w=104\",\"Find(0)=3, Find(3)=3, Add (0,3)=53 Failed, w=104\",\"Find(1)=3, Find(3)=3, Add (1,3)=70 Failed, w=104\",\"Find(1)=3, Find(2)=3, Add (1,2)=75 Failed, w=104\",\"Find(0)=3, Find(2)=3, Add (0,2)=76 Failed, w=104\",\"Find(0)=3, Find(4)=3, Add (0,4)=85 Failed, w=104\",\"Find(2)=3, Find(5)=3, Add (2,5)=87 Failed, w=104\",\"Find(0)=3, Find(5)=3, Add (0,5)=92 Failed, w=104\",\"Find(4)=3, Find(5)=3, Add (4,5)=92 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,2,76],[0,3,53],[0,4,85],[0,5,92],[1,2,75],[1,3,70],[1,5,46],[2,4,9],[2,5,87],[3,4,0],[3,5,46],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=0,(0,1)=3,(2,4)=9,(1,5)=46,(3,5)=46,(0,3)=53,(1,3)=70,(1,2)=75,(0,2)=76,(0,4)=85,(2,5)=87,(0,5)=92,(4,5)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 5}, Find(2)=2, Find(4)=3, Add (2,4)=9 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=46 Succeeded, w=58\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=46 Succeeded, w=104\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 0}, Find(0)=3, Find(3)=3, Add (0,3)=53 Failed, w=104\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0}, Find(1)=3, Find(3)=3, Add (1,3)=70 Failed, w=104\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0}, Find(1)=3, Find(2)=3, Add (1,2)=75 Failed, w=104\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0}, Find(0)=3, Find(2)=3, Add (0,2)=76 Failed, w=104\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0}, Find(0)=3, Find(4)=3, Add (0,4)=85 Failed, w=104\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=87 Failed, w=104\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=92 Failed, w=104\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=92 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,4,4],[1,2,47],[1,3,71],[2,3,30],[3,4,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,4],[1,2,47],[1,3,71],[2,3,30],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,4],[1,2,47],[1,3,71],[2,3,30],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,3)\",\"Add (1,2)\",\"Add (3,4)\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,4],[1,2,47],[1,3,71],[2,3,30],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=4, w=4\",\"Add (2,3)=30, w=34\",\"Add (1,2)=47, w=81\",\"Add (3,4)=58, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,4],[1,2,47],[1,3,71],[2,3,30],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=4 Succeeded, w=4\",\"Add (2,3)=30 Succeeded, w=34\",\"Add (1,2)=47 Succeeded, w=81\",\"Add (3,4)=58 Succeeded, w=139\",\"Add (1,3)=71 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,4],[1,2,47],[1,3,71],[2,3,30],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=4,(2,3)=30,(1,2)=47,(3,4)=58,(1,3)=71]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=4 Succeeded, w=4\",\"Find(2)=2, Find(3)=3, Add (2,3)=30 Succeeded, w=34\",\"Find(1)=1, Find(2)=2, Add (1,2)=47 Succeeded, w=81\",\"Find(3)=2, Find(4)=0, Add (3,4)=58 Succeeded, w=139\",\"Find(1)=2, Find(3)=2, Add (1,3)=71 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,4],[1,2,47],[1,3,71],[2,3,30],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=4,(2,3)=30,(1,2)=47,(3,4)=58,(1,3)=71]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0}, Find(2)=2, Find(3)=3, Add (2,3)=30 Succeeded, w=34\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0}, Find(1)=1, Find(2)=2, Add (1,2)=47 Succeeded, w=81\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0}, Find(3)=2, Find(4)=0, Add (3,4)=58 Succeeded, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0}, Find(1)=2, Find(3)=2, Add (1,3)=71 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,26],[0,2,34],[0,3,41],[0,4,16],[0,5,92],[0,6,95],[1,2,68],[1,3,92],[1,4,47],[1,5,61],[1,6,94],[2,3,28],[2,4,12],[2,5,95],[2,6,96],[3,4,96],[3,5,97],[3,6,74],[4,5,84],[4,6,66],[5,6,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,34],[0,3,41],[0,4,16],[0,5,92],[0,6,95],[1,2,68],[1,3,92],[1,4,47],[1,5,61],[1,6,94],[2,3,28],[2,4,12],[2,5,95],[2,6,96],[3,4,96],[3,5,97],[3,6,74],[4,5,84],[4,6,66],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,34],[0,3,41],[0,4,16],[0,5,92],[0,6,95],[1,2,68],[1,3,92],[1,4,47],[1,5,61],[1,6,94],[2,3,28],[2,4,12],[2,5,95],[2,6,96],[3,4,96],[3,5,97],[3,6,74],[4,5,84],[4,6,66],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,4)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (5,6)\",\"Add (1,5)\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,34],[0,3,41],[0,4,16],[0,5,92],[0,6,95],[1,2,68],[1,3,92],[1,4,47],[1,5,61],[1,6,94],[2,3,28],[2,4,12],[2,5,95],[2,6,96],[3,4,96],[3,5,97],[3,6,74],[4,5,84],[4,6,66],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=12, w=12\",\"Add (0,4)=16, w=28\",\"Add (0,1)=26, w=54\",\"Add (2,3)=28, w=82\",\"Add (5,6)=58, w=140\",\"Add (1,5)=61, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,34],[0,3,41],[0,4,16],[0,5,92],[0,6,95],[1,2,68],[1,3,92],[1,4,47],[1,5,61],[1,6,94],[2,3,28],[2,4,12],[2,5,95],[2,6,96],[3,4,96],[3,5,97],[3,6,74],[4,5,84],[4,6,66],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=12 Succeeded, w=12\",\"Add (0,4)=16 Succeeded, w=28\",\"Add (0,1)=26 Succeeded, w=54\",\"Add (2,3)=28 Succeeded, w=82\",\"Add (0,2)=34 Failed, w=82\",\"Add (0,3)=41 Failed, w=82\",\"Add (1,4)=47 Failed, w=82\",\"Add (5,6)=58 Succeeded, w=140\",\"Add (1,5)=61 Succeeded, w=201\",\"Add (4,6)=66 Failed, w=201\",\"Add (1,2)=68 Failed, w=201\",\"Add (3,6)=74 Failed, w=201\",\"Add (4,5)=84 Failed, w=201\",\"Add (0,5)=92 Failed, w=201\",\"Add (1,3)=92 Failed, w=201\",\"Add (1,6)=94 Failed, w=201\",\"Add (0,6)=95 Failed, w=201\",\"Add (2,5)=95 Failed, w=201\",\"Add (2,6)=96 Failed, w=201\",\"Add (3,4)=96 Failed, w=201\",\"Add (3,5)=97 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,34],[0,3,41],[0,4,16],[0,5,92],[0,6,95],[1,2,68],[1,3,92],[1,4,47],[1,5,61],[1,6,94],[2,3,28],[2,4,12],[2,5,95],[2,6,96],[3,4,96],[3,5,97],[3,6,74],[4,5,84],[4,6,66],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=12,(0,4)=16,(0,1)=26,(2,3)=28,(0,2)=34,(0,3)=41,(1,4)=47,(5,6)=58,(1,5)=61,(4,6)=66,(1,2)=68,(3,6)=74,(4,5)=84,(0,5)=92,(1,3)=92,(1,6)=94,(0,6)=95,(2,5)=95,(2,6)=96,(3,4)=96,(3,5)=97]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=12\",\"Find(0)=0, Find(4)=2, Add (0,4)=16 Succeeded, w=28\",\"Find(0)=2, Find(1)=1, Add (0,1)=26 Succeeded, w=54\",\"Find(2)=2, Find(3)=3, Add (2,3)=28 Succeeded, w=82\",\"Find(0)=2, Find(2)=2, Add (0,2)=34 Failed, w=82\",\"Find(0)=2, Find(3)=2, Add (0,3)=41 Failed, w=82\",\"Find(1)=2, Find(4)=2, Add (1,4)=47 Failed, w=82\",\"Find(5)=5, Find(6)=6, Add (5,6)=58 Succeeded, w=140\",\"Find(1)=2, Find(5)=5, Add (1,5)=61 Succeeded, w=201\",\"Find(4)=2, Find(6)=2, Add (4,6)=66 Failed, w=201\",\"Find(1)=2, Find(2)=2, Add (1,2)=68 Failed, w=201\",\"Find(3)=2, Find(6)=2, Add (3,6)=74 Failed, w=201\",\"Find(4)=2, Find(5)=2, Add (4,5)=84 Failed, w=201\",\"Find(0)=2, Find(5)=2, Add (0,5)=92 Failed, w=201\",\"Find(1)=2, Find(3)=2, Add (1,3)=92 Failed, w=201\",\"Find(1)=2, Find(6)=2, Add (1,6)=94 Failed, w=201\",\"Find(0)=2, Find(6)=2, Add (0,6)=95 Failed, w=201\",\"Find(2)=2, Find(5)=2, Add (2,5)=95 Failed, w=201\",\"Find(2)=2, Find(6)=2, Add (2,6)=96 Failed, w=201\",\"Find(3)=2, Find(4)=2, Add (3,4)=96 Failed, w=201\",\"Find(3)=2, Find(5)=2, Add (3,5)=97 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,34],[0,3,41],[0,4,16],[0,5,92],[0,6,95],[1,2,68],[1,3,92],[1,4,47],[1,5,61],[1,6,94],[2,3,28],[2,4,12],[2,5,95],[2,6,96],[3,4,96],[3,5,97],[3,6,74],[4,5,84],[4,6,66],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=12,(0,4)=16,(0,1)=26,(2,3)=28,(0,2)=34,(0,3)=41,(1,4)=47,(5,6)=58,(1,5)=61,(4,6)=66,(1,2)=68,(3,6)=74,(4,5)=84,(0,5)=92,(1,3)=92,(1,6)=94,(0,6)=95,(2,5)=95,(2,6)=96,(3,4)=96,(3,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=12\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(0)=0, Find(4)=2, Add (0,4)=16 Succeeded, w=28\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(0)=2, Find(1)=1, Add (0,1)=26 Succeeded, w=54\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=28 Succeeded, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(0)=2, Find(2)=2, Add (0,2)=34 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(0)=2, Find(3)=2, Add (0,3)=41 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(1)=2, Find(4)=2, Add (1,4)=47 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=58 Succeeded, w=140\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5}, Find(1)=2, Find(5)=5, Add (1,5)=61 Succeeded, w=201\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=66 Failed, w=201\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=68 Failed, w=201\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=74 Failed, w=201\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=84 Failed, w=201\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=92 Failed, w=201\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=92 Failed, w=201\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=94 Failed, w=201\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=95 Failed, w=201\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=95 Failed, w=201\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=96 Failed, w=201\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=96 Failed, w=201\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=97 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,24],[0,2,12],[0,3,78],[0,4,83],[0,5,19],[0,6,48],[1,2,51],[1,3,83],[1,4,39],[1,5,42],[1,6,57],[2,4,72],[2,5,14],[2,6,81],[3,4,13],[3,5,52],[3,6,72],[4,5,98],[4,6,29],[5,6,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,24],[0,2,12],[0,3,78],[0,4,83],[0,5,19],[0,6,48],[1,2,51],[1,3,83],[1,4,39],[1,5,42],[1,6,57],[2,4,72],[2,5,14],[2,6,81],[3,4,13],[3,5,52],[3,6,72],[4,5,98],[4,6,29],[5,6,22]]}",
"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\":[[0,1,24],[0,2,12],[0,3,78],[0,4,83],[0,5,19],[0,6,48],[1,2,51],[1,3,83],[1,4,39],[1,5,42],[1,6,57],[2,4,72],[2,5,14],[2,6,81],[3,4,13],[3,5,52],[3,6,72],[4,5,98],[4,6,29],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,4)\",\"Add (2,5)\",\"Add (5,6)\",\"Add (0,1)\",\"Add (4,6)\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,24],[0,2,12],[0,3,78],[0,4,83],[0,5,19],[0,6,48],[1,2,51],[1,3,83],[1,4,39],[1,5,42],[1,6,57],[2,4,72],[2,5,14],[2,6,81],[3,4,13],[3,5,52],[3,6,72],[4,5,98],[4,6,29],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=12, w=12\",\"Add (3,4)=13, w=25\",\"Add (2,5)=14, w=39\",\"Add (5,6)=22, w=61\",\"Add (0,1)=24, w=85\",\"Add (4,6)=29, 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\":[[0,1,24],[0,2,12],[0,3,78],[0,4,83],[0,5,19],[0,6,48],[1,2,51],[1,3,83],[1,4,39],[1,5,42],[1,6,57],[2,4,72],[2,5,14],[2,6,81],[3,4,13],[3,5,52],[3,6,72],[4,5,98],[4,6,29],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=12 Succeeded, w=12\",\"Add (3,4)=13 Succeeded, w=25\",\"Add (2,5)=14 Succeeded, w=39\",\"Add (0,5)=19 Failed, w=39\",\"Add (5,6)=22 Succeeded, w=61\",\"Add (0,1)=24 Succeeded, w=85\",\"Add (4,6)=29 Succeeded, w=114\",\"Add (1,4)=39 Failed, w=114\",\"Add (1,5)=42 Failed, w=114\",\"Add (0,6)=48 Failed, w=114\",\"Add (1,2)=51 Failed, w=114\",\"Add (3,5)=52 Failed, w=114\",\"Add (1,6)=57 Failed, w=114\",\"Add (2,4)=72 Failed, w=114\",\"Add (3,6)=72 Failed, w=114\",\"Add (0,3)=78 Failed, w=114\",\"Add (2,6)=81 Failed, w=114\",\"Add (0,4)=83 Failed, w=114\",\"Add (1,3)=83 Failed, w=114\",\"Add (4,5)=98 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,24],[0,2,12],[0,3,78],[0,4,83],[0,5,19],[0,6,48],[1,2,51],[1,3,83],[1,4,39],[1,5,42],[1,6,57],[2,4,72],[2,5,14],[2,6,81],[3,4,13],[3,5,52],[3,6,72],[4,5,98],[4,6,29],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=12,(3,4)=13,(2,5)=14,(0,5)=19,(5,6)=22,(0,1)=24,(4,6)=29,(1,4)=39,(1,5)=42,(0,6)=48,(1,2)=51,(3,5)=52,(1,6)=57,(2,4)=72,(3,6)=72,(0,3)=78,(2,6)=81,(0,4)=83,(1,3)=83,(4,5)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=12\",\"Find(3)=3, Find(4)=4, Add (3,4)=13 Succeeded, w=25\",\"Find(2)=0, Find(5)=5, Add (2,5)=14 Succeeded, w=39\",\"Find(0)=0, Find(5)=0, Add (0,5)=19 Failed, w=39\",\"Find(5)=0, Find(6)=6, Add (5,6)=22 Succeeded, w=61\",\"Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=85\",\"Find(4)=3, Find(6)=0, Add (4,6)=29 Succeeded, w=114\",\"Find(1)=3, Find(4)=3, Add (1,4)=39 Failed, w=114\",\"Find(1)=3, Find(5)=3, Add (1,5)=42 Failed, w=114\",\"Find(0)=3, Find(6)=3, Add (0,6)=48 Failed, w=114\",\"Find(1)=3, Find(2)=3, Add (1,2)=51 Failed, w=114\",\"Find(3)=3, Find(5)=3, Add (3,5)=52 Failed, w=114\",\"Find(1)=3, Find(6)=3, Add (1,6)=57 Failed, w=114\",\"Find(2)=3, Find(4)=3, Add (2,4)=72 Failed, w=114\",\"Find(3)=3, Find(6)=3, Add (3,6)=72 Failed, w=114\",\"Find(0)=3, Find(3)=3, Add (0,3)=78 Failed, w=114\",\"Find(2)=3, Find(6)=3, Add (2,6)=81 Failed, w=114\",\"Find(0)=3, Find(4)=3, Add (0,4)=83 Failed, w=114\",\"Find(1)=3, Find(3)=3, Add (1,3)=83 Failed, w=114\",\"Find(4)=3, Find(5)=3, Add (4,5)=98 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,24],[0,2,12],[0,3,78],[0,4,83],[0,5,19],[0,6,48],[1,2,51],[1,3,83],[1,4,39],[1,5,42],[1,6,57],[2,4,72],[2,5,14],[2,6,81],[3,4,13],[3,5,52],[3,6,72],[4,5,98],[4,6,29],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=12,(3,4)=13,(2,5)=14,(0,5)=19,(5,6)=22,(0,1)=24,(4,6)=29,(1,4)=39,(1,5)=42,(0,6)=48,(1,2)=51,(3,5)=52,(1,6)=57,(2,4)=72,(3,6)=72,(0,3)=78,(2,6)=81,(0,4)=83,(1,3)=83,(4,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=13 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 0, 6: 6}, Find(2)=0, Find(5)=5, Add (2,5)=14 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 0, 6: 6}, Find(0)=0, Find(5)=0, Add (0,5)=19 Failed, w=39\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 0, 6: 0}, Find(5)=0, Find(6)=6, Add (5,6)=22 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 0, 6: 0}, Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=85\",\"Parent: {0: 3, 1: 0, 2: 0, 3: 3, 4: 3, 5: 0, 6: 0}, Find(4)=3, Find(6)=0, Add (4,6)=29 Succeeded, w=114\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 0, 6: 0}, Find(1)=3, Find(4)=3, Add (1,4)=39 Failed, w=114\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 3, 6: 0}, Find(1)=3, Find(5)=3, Add (1,5)=42 Failed, w=114\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(6)=3, Add (0,6)=48 Failed, w=114\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=51 Failed, w=114\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(5)=3, Add (3,5)=52 Failed, w=114\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=57 Failed, w=114\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=72 Failed, w=114\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(6)=3, Add (3,6)=72 Failed, w=114\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=78 Failed, w=114\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=81 Failed, w=114\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=83 Failed, w=114\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=83 Failed, w=114\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=98 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,93],[0,2,37],[0,3,82],[1,2,14],[1,3,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,37],[0,3,82],[1,2,14],[1,3,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,37],[0,3,82],[1,2,14],[1,3,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,37],[0,3,82],[1,2,14],[1,3,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=8, w=8\",\"Add (1,2)=14, w=22\",\"Add (0,2)=37, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,37],[0,3,82],[1,2,14],[1,3,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=8 Succeeded, w=8\",\"Add (1,2)=14 Succeeded, w=22\",\"Add (0,2)=37 Succeeded, w=59\",\"Add (0,3)=82 Failed, w=59\",\"Add (0,1)=93 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,37],[0,3,82],[1,2,14],[1,3,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=8,(1,2)=14,(0,2)=37,(0,3)=82,(0,1)=93]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=8\",\"Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=22\",\"Find(0)=0, Find(2)=1, Add (0,2)=37 Succeeded, w=59\",\"Find(0)=1, Find(3)=1, Add (0,3)=82 Failed, w=59\",\"Find(0)=1, Find(1)=1, Add (0,1)=93 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,37],[0,3,82],[1,2,14],[1,3,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=8,(1,2)=14,(0,2)=37,(0,3)=82,(0,1)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=37 Succeeded, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=82 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=93 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,81],[0,3,91],[1,2,86],[1,3,0],[2,3,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,81],[0,3,91],[1,2,86],[1,3,0],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,81],[0,3,91],[1,2,86],[1,3,0],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,81],[0,3,91],[1,2,86],[1,3,0],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (0,2)=81, w=81\",\"Add (1,2)=86, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,81],[0,3,91],[1,2,86],[1,3,0],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (0,2)=81 Succeeded, w=81\",\"Add (1,2)=86 Succeeded, w=167\",\"Add (2,3)=90 Failed, w=167\",\"Add (0,3)=91 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,81],[0,3,91],[1,2,86],[1,3,0],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(0,2)=81,(1,2)=86,(2,3)=90,(0,3)=91]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=81 Succeeded, w=81\",\"Find(1)=1, Find(2)=0, Add (1,2)=86 Succeeded, w=167\",\"Find(2)=1, Find(3)=1, Add (2,3)=90 Failed, w=167\",\"Find(0)=1, Find(3)=1, Add (0,3)=91 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,81],[0,3,91],[1,2,86],[1,3,0],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(0,2)=81,(1,2)=86,(2,3)=90,(0,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(0)=0, Find(2)=2, Add (0,2)=81 Succeeded, w=81\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(2)=0, Add (1,2)=86 Succeeded, w=167\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=90 Failed, w=167\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=91 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,23],[0,2,83],[0,3,30],[0,4,63],[0,5,92],[1,3,89],[1,4,8],[1,5,97],[2,3,13],[2,4,77],[2,5,17],[3,4,7],[3,5,87],[4,5,32]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,83],[0,3,30],[0,4,63],[0,5,92],[1,3,89],[1,4,8],[1,5,97],[2,3,13],[2,4,77],[2,5,17],[3,4,7],[3,5,87],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,83],[0,3,30],[0,4,63],[0,5,92],[1,3,89],[1,4,8],[1,5,97],[2,3,13],[2,4,77],[2,5,17],[3,4,7],[3,5,87],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (2,5)\",\"Add (0,1)\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,83],[0,3,30],[0,4,63],[0,5,92],[1,3,89],[1,4,8],[1,5,97],[2,3,13],[2,4,77],[2,5,17],[3,4,7],[3,5,87],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=7, w=7\",\"Add (1,4)=8, w=15\",\"Add (2,3)=13, w=28\",\"Add (2,5)=17, w=45\",\"Add (0,1)=23, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,83],[0,3,30],[0,4,63],[0,5,92],[1,3,89],[1,4,8],[1,5,97],[2,3,13],[2,4,77],[2,5,17],[3,4,7],[3,5,87],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=7 Succeeded, w=7\",\"Add (1,4)=8 Succeeded, w=15\",\"Add (2,3)=13 Succeeded, w=28\",\"Add (2,5)=17 Succeeded, w=45\",\"Add (0,1)=23 Succeeded, w=68\",\"Add (0,3)=30 Failed, w=68\",\"Add (4,5)=32 Failed, w=68\",\"Add (0,4)=63 Failed, w=68\",\"Add (2,4)=77 Failed, w=68\",\"Add (0,2)=83 Failed, w=68\",\"Add (3,5)=87 Failed, w=68\",\"Add (1,3)=89 Failed, w=68\",\"Add (0,5)=92 Failed, w=68\",\"Add (1,5)=97 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,83],[0,3,30],[0,4,63],[0,5,92],[1,3,89],[1,4,8],[1,5,97],[2,3,13],[2,4,77],[2,5,17],[3,4,7],[3,5,87],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=7,(1,4)=8,(2,3)=13,(2,5)=17,(0,1)=23,(0,3)=30,(4,5)=32,(0,4)=63,(2,4)=77,(0,2)=83,(3,5)=87,(1,3)=89,(0,5)=92,(1,5)=97]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=7 Succeeded, w=7\",\"Find(1)=1, Find(4)=3, Add (1,4)=8 Succeeded, w=15\",\"Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=28\",\"Find(2)=3, Find(5)=5, Add (2,5)=17 Succeeded, w=45\",\"Find(0)=0, Find(1)=3, Add (0,1)=23 Succeeded, w=68\",\"Find(0)=3, Find(3)=3, Add (0,3)=30 Failed, w=68\",\"Find(4)=3, Find(5)=3, Add (4,5)=32 Failed, w=68\",\"Find(0)=3, Find(4)=3, Add (0,4)=63 Failed, w=68\",\"Find(2)=3, Find(4)=3, Add (2,4)=77 Failed, w=68\",\"Find(0)=3, Find(2)=3, Add (0,2)=83 Failed, w=68\",\"Find(3)=3, Find(5)=3, Add (3,5)=87 Failed, w=68\",\"Find(1)=3, Find(3)=3, Add (1,3)=89 Failed, w=68\",\"Find(0)=3, Find(5)=3, Add (0,5)=92 Failed, w=68\",\"Find(1)=3, Find(5)=3, Add (1,5)=97 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,83],[0,3,30],[0,4,63],[0,5,92],[1,3,89],[1,4,8],[1,5,97],[2,3,13],[2,4,77],[2,5,17],[3,4,7],[3,5,87],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=7,(1,4)=8,(2,3)=13,(2,5)=17,(0,1)=23,(0,3)=30,(4,5)=32,(0,4)=63,(2,4)=77,(0,2)=83,(3,5)=87,(1,3)=89,(0,5)=92,(1,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5}, Find(1)=1, Find(4)=3, Add (1,4)=8 Succeeded, w=15\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=28\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=5, Add (2,5)=17 Succeeded, w=45\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=0, Find(1)=3, Add (0,1)=23 Succeeded, w=68\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(3)=3, Add (0,3)=30 Failed, w=68\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=32 Failed, w=68\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=63 Failed, w=68\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(4)=3, Add (2,4)=77 Failed, w=68\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=83 Failed, w=68\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=3, Add (3,5)=87 Failed, w=68\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(3)=3, Add (1,3)=89 Failed, w=68\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=92 Failed, w=68\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=97 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,73],[0,2,58],[0,3,22],[0,4,72],[0,5,62],[0,6,99],[1,4,7],[1,6,18],[2,3,89],[2,5,0],[3,5,54],[3,6,70],[5,6,20]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,58],[0,3,22],[0,4,72],[0,5,62],[0,6,99],[1,4,7],[1,6,18],[2,3,89],[2,5,0],[3,5,54],[3,6,70],[5,6,20]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,58],[0,3,22],[0,4,72],[0,5,62],[0,6,99],[1,4,7],[1,6,18],[2,3,89],[2,5,0],[3,5,54],[3,6,70],[5,6,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,4)\",\"Add (1,6)\",\"Add (5,6)\",\"Add (0,3)\",\"Add (3,5)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,58],[0,3,22],[0,4,72],[0,5,62],[0,6,99],[1,4,7],[1,6,18],[2,3,89],[2,5,0],[3,5,54],[3,6,70],[5,6,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0, w=0\",\"Add (1,4)=7, w=7\",\"Add (1,6)=18, w=25\",\"Add (5,6)=20, w=45\",\"Add (0,3)=22, w=67\",\"Add (3,5)=54, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,58],[0,3,22],[0,4,72],[0,5,62],[0,6,99],[1,4,7],[1,6,18],[2,3,89],[2,5,0],[3,5,54],[3,6,70],[5,6,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0 Succeeded, w=0\",\"Add (1,4)=7 Succeeded, w=7\",\"Add (1,6)=18 Succeeded, w=25\",\"Add (5,6)=20 Succeeded, w=45\",\"Add (0,3)=22 Succeeded, w=67\",\"Add (3,5)=54 Succeeded, w=121\",\"Add (0,2)=58 Failed, w=121\",\"Add (0,5)=62 Failed, w=121\",\"Add (3,6)=70 Failed, w=121\",\"Add (0,4)=72 Failed, w=121\",\"Add (0,1)=73 Failed, w=121\",\"Add (2,3)=89 Failed, w=121\",\"Add (0,6)=99 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,58],[0,3,22],[0,4,72],[0,5,62],[0,6,99],[1,4,7],[1,6,18],[2,3,89],[2,5,0],[3,5,54],[3,6,70],[5,6,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(1,4)=7,(1,6)=18,(5,6)=20,(0,3)=22,(3,5)=54,(0,2)=58,(0,5)=62,(3,6)=70,(0,4)=72,(0,1)=73,(2,3)=89,(0,6)=99]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=7\",\"Find(1)=1, Find(6)=6, Add (1,6)=18 Succeeded, w=25\",\"Find(5)=2, Find(6)=1, Add (5,6)=20 Succeeded, w=45\",\"Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=67\",\"Find(3)=0, Find(5)=2, Add (3,5)=54 Succeeded, w=121\",\"Find(0)=2, Find(2)=2, Add (0,2)=58 Failed, w=121\",\"Find(0)=2, Find(5)=2, Add (0,5)=62 Failed, w=121\",\"Find(3)=2, Find(6)=2, Add (3,6)=70 Failed, w=121\",\"Find(0)=2, Find(4)=2, Add (0,4)=72 Failed, w=121\",\"Find(0)=2, Find(1)=2, Add (0,1)=73 Failed, w=121\",\"Find(2)=2, Find(3)=2, Add (2,3)=89 Failed, w=121\",\"Find(0)=2, Find(6)=2, Add (0,6)=99 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,58],[0,3,22],[0,4,72],[0,5,62],[0,6,99],[1,4,7],[1,6,18],[2,3,89],[2,5,0],[3,5,54],[3,6,70],[5,6,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(1,4)=7,(1,6)=18,(5,6)=20,(0,3)=22,(3,5)=54,(0,2)=58,(0,5)=62,(3,6)=70,(0,4)=72,(0,1)=73,(2,3)=89,(0,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=18 Succeeded, w=25\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 1, 5: 2, 6: 1}, Find(5)=2, Find(6)=1, Add (5,6)=20 Succeeded, w=45\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 1, 5: 2, 6: 1}, Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 1, 5: 2, 6: 1}, Find(3)=0, Find(5)=2, Add (3,5)=54 Succeeded, w=121\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 1, 5: 2, 6: 1}, Find(0)=2, Find(2)=2, Add (0,2)=58 Failed, w=121\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 1, 5: 2, 6: 1}, Find(0)=2, Find(5)=2, Add (0,5)=62 Failed, w=121\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=70 Failed, w=121\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=72 Failed, w=121\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=73 Failed, w=121\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=89 Failed, w=121\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=99 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,50],[0,3,45],[0,4,74],[0,5,9],[1,2,17],[1,3,47],[1,4,97],[2,3,24],[2,5,15],[3,4,71],[4,5,6]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,3,45],[0,4,74],[0,5,9],[1,2,17],[1,3,47],[1,4,97],[2,3,24],[2,5,15],[3,4,71],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,3,45],[0,4,74],[0,5,9],[1,2,17],[1,3,47],[1,4,97],[2,3,24],[2,5,15],[3,4,71],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,5)\",\"Add (2,5)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,3,45],[0,4,74],[0,5,9],[1,2,17],[1,3,47],[1,4,97],[2,3,24],[2,5,15],[3,4,71],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=6, w=6\",\"Add (0,5)=9, w=15\",\"Add (2,5)=15, w=30\",\"Add (1,2)=17, w=47\",\"Add (2,3)=24, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,3,45],[0,4,74],[0,5,9],[1,2,17],[1,3,47],[1,4,97],[2,3,24],[2,5,15],[3,4,71],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=6 Succeeded, w=6\",\"Add (0,5)=9 Succeeded, w=15\",\"Add (2,5)=15 Succeeded, w=30\",\"Add (1,2)=17 Succeeded, w=47\",\"Add (2,3)=24 Succeeded, w=71\",\"Add (0,3)=45 Failed, w=71\",\"Add (1,3)=47 Failed, w=71\",\"Add (0,1)=50 Failed, w=71\",\"Add (3,4)=71 Failed, w=71\",\"Add (0,4)=74 Failed, w=71\",\"Add (1,4)=97 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,3,45],[0,4,74],[0,5,9],[1,2,17],[1,3,47],[1,4,97],[2,3,24],[2,5,15],[3,4,71],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=6,(0,5)=9,(2,5)=15,(1,2)=17,(2,3)=24,(0,3)=45,(1,3)=47,(0,1)=50,(3,4)=71,(0,4)=74,(1,4)=97]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=6 Succeeded, w=6\",\"Find(0)=0, Find(5)=4, Add (0,5)=9 Succeeded, w=15\",\"Find(2)=2, Find(5)=4, Add (2,5)=15 Succeeded, w=30\",\"Find(1)=1, Find(2)=4, Add (1,2)=17 Succeeded, w=47\",\"Find(2)=4, Find(3)=3, Add (2,3)=24 Succeeded, w=71\",\"Find(0)=4, Find(3)=4, Add (0,3)=45 Failed, w=71\",\"Find(1)=4, Find(3)=4, Add (1,3)=47 Failed, w=71\",\"Find(0)=4, Find(1)=4, Add (0,1)=50 Failed, w=71\",\"Find(3)=4, Find(4)=4, Add (3,4)=71 Failed, w=71\",\"Find(0)=4, Find(4)=4, Add (0,4)=74 Failed, w=71\",\"Find(1)=4, Find(4)=4, Add (1,4)=97 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,3,45],[0,4,74],[0,5,9],[1,2,17],[1,3,47],[1,4,97],[2,3,24],[2,5,15],[3,4,71],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=6,(0,5)=9,(2,5)=15,(1,2)=17,(2,3)=24,(0,3)=45,(1,3)=47,(0,1)=50,(3,4)=71,(0,4)=74,(1,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=6 Succeeded, w=6\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(0)=0, Find(5)=4, Add (0,5)=9 Succeeded, w=15\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4}, Find(2)=2, Find(5)=4, Add (2,5)=15 Succeeded, w=30\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4}, Find(1)=1, Find(2)=4, Add (1,2)=17 Succeeded, w=47\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=4, Find(3)=3, Add (2,3)=24 Succeeded, w=71\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(3)=4, Add (0,3)=45 Failed, w=71\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(3)=4, Add (1,3)=47 Failed, w=71\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(1)=4, Add (0,1)=50 Failed, w=71\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(3)=4, Find(4)=4, Add (3,4)=71 Failed, w=71\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(4)=4, Add (0,4)=74 Failed, w=71\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(4)=4, Add (1,4)=97 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,38],[0,2,55],[0,3,6],[0,4,50],[0,5,21],[1,2,47],[1,3,61],[1,4,7],[1,5,7],[2,3,55],[2,4,73],[2,5,77],[3,5,20],[4,5,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,55],[0,3,6],[0,4,50],[0,5,21],[1,2,47],[1,3,61],[1,4,7],[1,5,7],[2,3,55],[2,4,73],[2,5,77],[3,5,20],[4,5,62]]}",
"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],\"edges\":[[0,1,38],[0,2,55],[0,3,6],[0,4,50],[0,5,21],[1,2,47],[1,3,61],[1,4,7],[1,5,7],[2,3,55],[2,4,73],[2,5,77],[3,5,20],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,4)\",\"Add (1,5)\",\"Add (3,5)\",\"Add (1,2)\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,55],[0,3,6],[0,4,50],[0,5,21],[1,2,47],[1,3,61],[1,4,7],[1,5,7],[2,3,55],[2,4,73],[2,5,77],[3,5,20],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6, w=6\",\"Add (1,4)=7, w=13\",\"Add (1,5)=7, w=20\",\"Add (3,5)=20, w=40\",\"Add (1,2)=47, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,55],[0,3,6],[0,4,50],[0,5,21],[1,2,47],[1,3,61],[1,4,7],[1,5,7],[2,3,55],[2,4,73],[2,5,77],[3,5,20],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6 Succeeded, w=6\",\"Add (1,4)=7 Succeeded, w=13\",\"Add (1,5)=7 Succeeded, w=20\",\"Add (3,5)=20 Succeeded, w=40\",\"Add (0,5)=21 Failed, w=40\",\"Add (0,1)=38 Failed, w=40\",\"Add (1,2)=47 Succeeded, w=87\",\"Add (0,4)=50 Failed, w=87\",\"Add (0,2)=55 Failed, w=87\",\"Add (2,3)=55 Failed, w=87\",\"Add (1,3)=61 Failed, w=87\",\"Add (4,5)=62 Failed, w=87\",\"Add (2,4)=73 Failed, w=87\",\"Add (2,5)=77 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],\"edges\":[[0,1,38],[0,2,55],[0,3,6],[0,4,50],[0,5,21],[1,2,47],[1,3,61],[1,4,7],[1,5,7],[2,3,55],[2,4,73],[2,5,77],[3,5,20],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(1,4)=7,(1,5)=7,(3,5)=20,(0,5)=21,(0,1)=38,(1,2)=47,(0,4)=50,(0,2)=55,(2,3)=55,(1,3)=61,(4,5)=62,(2,4)=73,(2,5)=77]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=13\",\"Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=20\",\"Find(3)=0, Find(5)=1, Add (3,5)=20 Succeeded, w=40\",\"Find(0)=0, Find(5)=0, Add (0,5)=21 Failed, w=40\",\"Find(0)=0, Find(1)=0, Add (0,1)=38 Failed, w=40\",\"Find(1)=0, Find(2)=2, Add (1,2)=47 Succeeded, w=87\",\"Find(0)=0, Find(4)=0, Add (0,4)=50 Failed, w=87\",\"Find(0)=0, Find(2)=0, Add (0,2)=55 Failed, w=87\",\"Find(2)=0, Find(3)=0, Add (2,3)=55 Failed, w=87\",\"Find(1)=0, Find(3)=0, Add (1,3)=61 Failed, w=87\",\"Find(4)=0, Find(5)=0, Add (4,5)=62 Failed, w=87\",\"Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=87\",\"Find(2)=0, Find(5)=0, Add (2,5)=77 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],\"edges\":[[0,1,38],[0,2,55],[0,3,6],[0,4,50],[0,5,21],[1,2,47],[1,3,61],[1,4,7],[1,5,7],[2,3,55],[2,4,73],[2,5,77],[3,5,20],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(1,4)=7,(1,5)=7,(3,5)=20,(0,5)=21,(0,1)=38,(1,2)=47,(0,4)=50,(0,2)=55,(2,3)=55,(1,3)=61,(4,5)=62,(2,4)=73,(2,5)=77]\",\"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: 1, 2: 2, 3: 0, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 1}, Find(3)=0, Find(5)=1, Add (3,5)=20 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=21 Failed, w=40\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=38 Failed, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0}, Find(1)=0, Find(2)=2, Add (1,2)=47 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=50 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=55 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=55 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=61 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=62 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=77 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,6],[0,3,48],[1,3,4],[1,5,50],[2,3,84],[2,4,18],[3,5,51],[4,5,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,3,48],[1,3,4],[1,5,50],[2,3,84],[2,4,18],[3,5,51],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,3,48],[1,3,4],[1,5,50],[2,3,84],[2,4,18],[3,5,51],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (4,5)\",\"Add (2,4)\",\"Add (1,5)\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,3,48],[1,3,4],[1,5,50],[2,3,84],[2,4,18],[3,5,51],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4, w=4\",\"Add (0,1)=6, w=10\",\"Add (4,5)=10, w=20\",\"Add (2,4)=18, w=38\",\"Add (1,5)=50, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,3,48],[1,3,4],[1,5,50],[2,3,84],[2,4,18],[3,5,51],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4 Succeeded, w=4\",\"Add (0,1)=6 Succeeded, w=10\",\"Add (4,5)=10 Succeeded, w=20\",\"Add (2,4)=18 Succeeded, w=38\",\"Add (0,3)=48 Failed, w=38\",\"Add (1,5)=50 Succeeded, w=88\",\"Add (3,5)=51 Failed, w=88\",\"Add (2,3)=84 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,3,48],[1,3,4],[1,5,50],[2,3,84],[2,4,18],[3,5,51],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(0,1)=6,(4,5)=10,(2,4)=18,(0,3)=48,(1,5)=50,(3,5)=51,(2,3)=84]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=10\",\"Find(4)=4, Find(5)=5, Add (4,5)=10 Succeeded, w=20\",\"Find(2)=2, Find(4)=4, Add (2,4)=18 Succeeded, w=38\",\"Find(0)=1, Find(3)=1, Add (0,3)=48 Failed, w=38\",\"Find(1)=1, Find(5)=4, Add (1,5)=50 Succeeded, w=88\",\"Find(3)=1, Find(5)=1, Add (3,5)=51 Failed, w=88\",\"Find(2)=1, Find(3)=1, Add (2,3)=84 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,3,48],[1,3,4],[1,5,50],[2,3,84],[2,4,18],[3,5,51],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(0,1)=6,(4,5)=10,(2,4)=18,(0,3)=48,(1,5)=50,(3,5)=51,(2,3)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=10 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 4, 3: 1, 4: 4, 5: 4}, Find(2)=2, Find(4)=4, Add (2,4)=18 Succeeded, w=38\",\"Parent: {0: 1, 1: 1, 2: 4, 3: 1, 4: 4, 5: 4}, Find(0)=1, Find(3)=1, Add (0,3)=48 Failed, w=38\",\"Parent: {0: 1, 1: 1, 2: 4, 3: 1, 4: 1, 5: 4}, Find(1)=1, Find(5)=4, Add (1,5)=50 Succeeded, w=88\",\"Parent: {0: 1, 1: 1, 2: 4, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=51 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=84 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,53],[0,3,38],[0,4,72],[1,2,45],[1,3,16],[1,4,85],[1,5,16],[2,4,11],[2,5,81],[3,4,27],[3,5,15],[4,5,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,53],[0,3,38],[0,4,72],[1,2,45],[1,3,16],[1,4,85],[1,5,16],[2,4,11],[2,5,81],[3,4,27],[3,5,15],[4,5,79]]}",
"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],\"edges\":[[0,2,53],[0,3,38],[0,4,72],[1,2,45],[1,3,16],[1,4,85],[1,5,16],[2,4,11],[2,5,81],[3,4,27],[3,5,15],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (3,5)\",\"Add (1,3)\",\"Add (3,4)\",\"Add (0,3)\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,53],[0,3,38],[0,4,72],[1,2,45],[1,3,16],[1,4,85],[1,5,16],[2,4,11],[2,5,81],[3,4,27],[3,5,15],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=11, w=11\",\"Add (3,5)=15, w=26\",\"Add (1,3)=16, w=42\",\"Add (3,4)=27, w=69\",\"Add (0,3)=38, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,53],[0,3,38],[0,4,72],[1,2,45],[1,3,16],[1,4,85],[1,5,16],[2,4,11],[2,5,81],[3,4,27],[3,5,15],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=11 Succeeded, w=11\",\"Add (3,5)=15 Succeeded, w=26\",\"Add (1,3)=16 Succeeded, w=42\",\"Add (1,5)=16 Failed, w=42\",\"Add (3,4)=27 Succeeded, w=69\",\"Add (0,3)=38 Succeeded, w=107\",\"Add (1,2)=45 Failed, w=107\",\"Add (0,2)=53 Failed, w=107\",\"Add (0,4)=72 Failed, w=107\",\"Add (4,5)=79 Failed, w=107\",\"Add (2,5)=81 Failed, w=107\",\"Add (1,4)=85 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],\"edges\":[[0,2,53],[0,3,38],[0,4,72],[1,2,45],[1,3,16],[1,4,85],[1,5,16],[2,4,11],[2,5,81],[3,4,27],[3,5,15],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=11,(3,5)=15,(1,3)=16,(1,5)=16,(3,4)=27,(0,3)=38,(1,2)=45,(0,2)=53,(0,4)=72,(4,5)=79,(2,5)=81,(1,4)=85]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=11\",\"Find(3)=3, Find(5)=5, Add (3,5)=15 Succeeded, w=26\",\"Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=42\",\"Find(1)=3, Find(5)=3, Add (1,5)=16 Failed, w=42\",\"Find(3)=3, Find(4)=2, Add (3,4)=27 Succeeded, w=69\",\"Find(0)=0, Find(3)=3, Add (0,3)=38 Succeeded, w=107\",\"Find(1)=3, Find(2)=3, Add (1,2)=45 Failed, w=107\",\"Find(0)=3, Find(2)=3, Add (0,2)=53 Failed, w=107\",\"Find(0)=3, Find(4)=3, Add (0,4)=72 Failed, w=107\",\"Find(4)=3, Find(5)=3, Add (4,5)=79 Failed, w=107\",\"Find(2)=3, Find(5)=3, Add (2,5)=81 Failed, w=107\",\"Find(1)=3, Find(4)=3, Add (1,4)=85 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],\"edges\":[[0,2,53],[0,3,38],[0,4,72],[1,2,45],[1,3,16],[1,4,85],[1,5,16],[2,4,11],[2,5,81],[3,4,27],[3,5,15],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=11,(3,5)=15,(1,3)=16,(1,5)=16,(3,4)=27,(0,3)=38,(1,2)=45,(0,2)=53,(0,4)=72,(4,5)=79,(2,5)=81,(1,4)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=15 Succeeded, w=26\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 2, 5: 3}, Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=42\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 2, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=16 Failed, w=42\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3}, Find(3)=3, Find(4)=2, Add (3,4)=27 Succeeded, w=69\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3}, Find(0)=0, Find(3)=3, Add (0,3)=38 Succeeded, w=107\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3}, Find(1)=3, Find(2)=3, Add (1,2)=45 Failed, w=107\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=53 Failed, w=107\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=72 Failed, w=107\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=79 Failed, w=107\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=81 Failed, w=107\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=85 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,75],[0,2,48],[0,3,43],[0,4,88],[0,5,92],[1,2,34],[1,3,25],[1,4,45],[1,5,56],[2,3,18],[2,4,27],[2,5,20],[3,4,25],[3,5,92],[4,5,76]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,48],[0,3,43],[0,4,88],[0,5,92],[1,2,34],[1,3,25],[1,4,45],[1,5,56],[2,3,18],[2,4,27],[2,5,20],[3,4,25],[3,5,92],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,48],[0,3,43],[0,4,88],[0,5,92],[1,2,34],[1,3,25],[1,4,45],[1,5,56],[2,3,18],[2,4,27],[2,5,20],[3,4,25],[3,5,92],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,5)\",\"Add (1,3)\",\"Add (3,4)\",\"Add (0,3)\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,48],[0,3,43],[0,4,88],[0,5,92],[1,2,34],[1,3,25],[1,4,45],[1,5,56],[2,3,18],[2,4,27],[2,5,20],[3,4,25],[3,5,92],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=18, w=18\",\"Add (2,5)=20, w=38\",\"Add (1,3)=25, w=63\",\"Add (3,4)=25, w=88\",\"Add (0,3)=43, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,48],[0,3,43],[0,4,88],[0,5,92],[1,2,34],[1,3,25],[1,4,45],[1,5,56],[2,3,18],[2,4,27],[2,5,20],[3,4,25],[3,5,92],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=18 Succeeded, w=18\",\"Add (2,5)=20 Succeeded, w=38\",\"Add (1,3)=25 Succeeded, w=63\",\"Add (3,4)=25 Succeeded, w=88\",\"Add (2,4)=27 Failed, w=88\",\"Add (1,2)=34 Failed, w=88\",\"Add (0,3)=43 Succeeded, w=131\",\"Add (1,4)=45 Failed, w=131\",\"Add (0,2)=48 Failed, w=131\",\"Add (1,5)=56 Failed, w=131\",\"Add (0,1)=75 Failed, w=131\",\"Add (4,5)=76 Failed, w=131\",\"Add (0,4)=88 Failed, w=131\",\"Add (0,5)=92 Failed, w=131\",\"Add (3,5)=92 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,48],[0,3,43],[0,4,88],[0,5,92],[1,2,34],[1,3,25],[1,4,45],[1,5,56],[2,3,18],[2,4,27],[2,5,20],[3,4,25],[3,5,92],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=18,(2,5)=20,(1,3)=25,(3,4)=25,(2,4)=27,(1,2)=34,(0,3)=43,(1,4)=45,(0,2)=48,(1,5)=56,(0,1)=75,(4,5)=76,(0,4)=88,(0,5)=92,(3,5)=92]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=18\",\"Find(2)=2, Find(5)=5, Add (2,5)=20 Succeeded, w=38\",\"Find(1)=1, Find(3)=2, Add (1,3)=25 Succeeded, w=63\",\"Find(3)=2, Find(4)=4, Add (3,4)=25 Succeeded, w=88\",\"Find(2)=2, Find(4)=2, Add (2,4)=27 Failed, w=88\",\"Find(1)=2, Find(2)=2, Add (1,2)=34 Failed, w=88\",\"Find(0)=0, Find(3)=2, Add (0,3)=43 Succeeded, w=131\",\"Find(1)=2, Find(4)=2, Add (1,4)=45 Failed, w=131\",\"Find(0)=2, Find(2)=2, Add (0,2)=48 Failed, w=131\",\"Find(1)=2, Find(5)=2, Add (1,5)=56 Failed, w=131\",\"Find(0)=2, Find(1)=2, Add (0,1)=75 Failed, w=131\",\"Find(4)=2, Find(5)=2, Add (4,5)=76 Failed, w=131\",\"Find(0)=2, Find(4)=2, Add (0,4)=88 Failed, w=131\",\"Find(0)=2, Find(5)=2, Add (0,5)=92 Failed, w=131\",\"Find(3)=2, Find(5)=2, Add (3,5)=92 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,48],[0,3,43],[0,4,88],[0,5,92],[1,2,34],[1,3,25],[1,4,45],[1,5,56],[2,3,18],[2,4,27],[2,5,20],[3,4,25],[3,5,92],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=18,(2,5)=20,(1,3)=25,(3,4)=25,(2,4)=27,(1,2)=34,(0,3)=43,(1,4)=45,(0,2)=48,(1,5)=56,(0,1)=75,(4,5)=76,(0,4)=88,(0,5)=92,(3,5)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=20 Succeeded, w=38\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2}, Find(1)=1, Find(3)=2, Add (1,3)=25 Succeeded, w=63\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=4, Add (3,4)=25 Succeeded, w=88\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=27 Failed, w=88\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=34 Failed, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(3)=2, Add (0,3)=43 Succeeded, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=45 Failed, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=48 Failed, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=56 Failed, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=75 Failed, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=76 Failed, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=88 Failed, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=92 Failed, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=92 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,11],[0,2,85],[0,3,99],[0,4,9],[1,2,3],[1,3,58],[1,4,46],[2,3,32],[2,4,29],[3,4,61]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,85],[0,3,99],[0,4,9],[1,2,3],[1,3,58],[1,4,46],[2,3,32],[2,4,29],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,85],[0,3,99],[0,4,9],[1,2,3],[1,3,58],[1,4,46],[2,3,32],[2,4,29],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,4)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,85],[0,3,99],[0,4,9],[1,2,3],[1,3,58],[1,4,46],[2,3,32],[2,4,29],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (0,4)=9, w=12\",\"Add (0,1)=11, w=23\",\"Add (2,3)=32, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,85],[0,3,99],[0,4,9],[1,2,3],[1,3,58],[1,4,46],[2,3,32],[2,4,29],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (0,4)=9 Succeeded, w=12\",\"Add (0,1)=11 Succeeded, w=23\",\"Add (2,4)=29 Failed, w=23\",\"Add (2,3)=32 Succeeded, w=55\",\"Add (1,4)=46 Failed, w=55\",\"Add (1,3)=58 Failed, w=55\",\"Add (3,4)=61 Failed, w=55\",\"Add (0,2)=85 Failed, w=55\",\"Add (0,3)=99 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,85],[0,3,99],[0,4,9],[1,2,3],[1,3,58],[1,4,46],[2,3,32],[2,4,29],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(0,4)=9,(0,1)=11,(2,4)=29,(2,3)=32,(1,4)=46,(1,3)=58,(3,4)=61,(0,2)=85,(0,3)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=12\",\"Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=23\",\"Find(2)=0, Find(4)=0, Add (2,4)=29 Failed, w=23\",\"Find(2)=0, Find(3)=3, Add (2,3)=32 Succeeded, w=55\",\"Find(1)=0, Find(4)=0, Add (1,4)=46 Failed, w=55\",\"Find(1)=0, Find(3)=0, Add (1,3)=58 Failed, w=55\",\"Find(3)=0, Find(4)=0, Add (3,4)=61 Failed, w=55\",\"Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=55\",\"Find(0)=0, Find(3)=0, Add (0,3)=99 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,85],[0,3,99],[0,4,9],[1,2,3],[1,3,58],[1,4,46],[2,3,32],[2,4,29],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(0,4)=9,(0,1)=11,(2,4)=29,(2,3)=32,(1,4)=46,(1,3)=58,(3,4)=61,(0,2)=85,(0,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 3, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=29 Failed, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=3, Add (2,3)=32 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=46 Failed, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=58 Failed, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=61 Failed, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=99 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,66],[1,2,86],[1,3,50],[2,4,18]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,66],[1,2,86],[1,3,50],[2,4,18]]}",
"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],\"edges\":[[0,2,66],[1,2,86],[1,3,50],[2,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,66],[1,2,86],[1,3,50],[2,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=18, w=18\",\"Add (1,3)=50, w=68\",\"Add (0,2)=66, w=134\",\"Add (1,2)=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],\"edges\":[[0,2,66],[1,2,86],[1,3,50],[2,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=18 Succeeded, w=18\",\"Add (1,3)=50 Succeeded, w=68\",\"Add (0,2)=66 Succeeded, w=134\",\"Add (1,2)=86 Succeeded, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,66],[1,2,86],[1,3,50],[2,4,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=18,(1,3)=50,(0,2)=66,(1,2)=86]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=18 Succeeded, w=18\",\"Find(1)=1, Find(3)=3, Add (1,3)=50 Succeeded, w=68\",\"Find(0)=0, Find(2)=2, Add (0,2)=66 Succeeded, w=134\",\"Find(1)=1, Find(2)=2, Add (1,2)=86 Succeeded, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,66],[1,2,86],[1,3,50],[2,4,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=18,(1,3)=50,(0,2)=66,(1,2)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=50 Succeeded, w=68\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=66 Succeeded, w=134\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 2, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=86 Succeeded, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,94],[0,2,14],[0,3,12],[0,4,86],[0,5,16],[0,6,63],[0,7,95],[1,2,96],[1,4,34],[1,5,71],[1,7,23],[2,3,53],[2,4,33],[2,5,67],[2,6,49],[2,7,6],[3,4,62],[3,5,5],[3,6,93],[4,5,30],[4,6,76],[4,7,20],[5,7,37],[6,7,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,2,14],[0,3,12],[0,4,86],[0,5,16],[0,6,63],[0,7,95],[1,2,96],[1,4,34],[1,5,71],[1,7,23],[2,3,53],[2,4,33],[2,5,67],[2,6,49],[2,7,6],[3,4,62],[3,5,5],[3,6,93],[4,5,30],[4,6,76],[4,7,20],[5,7,37],[6,7,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,2,14],[0,3,12],[0,4,86],[0,5,16],[0,6,63],[0,7,95],[1,2,96],[1,4,34],[1,5,71],[1,7,23],[2,3,53],[2,4,33],[2,5,67],[2,6,49],[2,7,6],[3,4,62],[3,5,5],[3,6,93],[4,5,30],[4,6,76],[4,7,20],[5,7,37],[6,7,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (2,7)\",\"Add (6,7)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (4,7)\",\"Add (1,7)\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,2,14],[0,3,12],[0,4,86],[0,5,16],[0,6,63],[0,7,95],[1,2,96],[1,4,34],[1,5,71],[1,7,23],[2,3,53],[2,4,33],[2,5,67],[2,6,49],[2,7,6],[3,4,62],[3,5,5],[3,6,93],[4,5,30],[4,6,76],[4,7,20],[5,7,37],[6,7,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=5, w=5\",\"Add (2,7)=6, w=11\",\"Add (6,7)=7, w=18\",\"Add (0,3)=12, w=30\",\"Add (0,2)=14, w=44\",\"Add (4,7)=20, w=64\",\"Add (1,7)=23, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,2,14],[0,3,12],[0,4,86],[0,5,16],[0,6,63],[0,7,95],[1,2,96],[1,4,34],[1,5,71],[1,7,23],[2,3,53],[2,4,33],[2,5,67],[2,6,49],[2,7,6],[3,4,62],[3,5,5],[3,6,93],[4,5,30],[4,6,76],[4,7,20],[5,7,37],[6,7,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=5 Succeeded, w=5\",\"Add (2,7)=6 Succeeded, w=11\",\"Add (6,7)=7 Succeeded, w=18\",\"Add (0,3)=12 Succeeded, w=30\",\"Add (0,2)=14 Succeeded, w=44\",\"Add (0,5)=16 Failed, w=44\",\"Add (4,7)=20 Succeeded, w=64\",\"Add (1,7)=23 Succeeded, w=87\",\"Add (4,5)=30 Failed, w=87\",\"Add (2,4)=33 Failed, w=87\",\"Add (1,4)=34 Failed, w=87\",\"Add (5,7)=37 Failed, w=87\",\"Add (2,6)=49 Failed, w=87\",\"Add (2,3)=53 Failed, w=87\",\"Add (3,4)=62 Failed, w=87\",\"Add (0,6)=63 Failed, w=87\",\"Add (2,5)=67 Failed, w=87\",\"Add (1,5)=71 Failed, w=87\",\"Add (4,6)=76 Failed, w=87\",\"Add (0,4)=86 Failed, w=87\",\"Add (3,6)=93 Failed, w=87\",\"Add (0,1)=94 Failed, w=87\",\"Add (0,7)=95 Failed, w=87\",\"Add (1,2)=96 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,2,14],[0,3,12],[0,4,86],[0,5,16],[0,6,63],[0,7,95],[1,2,96],[1,4,34],[1,5,71],[1,7,23],[2,3,53],[2,4,33],[2,5,67],[2,6,49],[2,7,6],[3,4,62],[3,5,5],[3,6,93],[4,5,30],[4,6,76],[4,7,20],[5,7,37],[6,7,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=5,(2,7)=6,(6,7)=7,(0,3)=12,(0,2)=14,(0,5)=16,(4,7)=20,(1,7)=23,(4,5)=30,(2,4)=33,(1,4)=34,(5,7)=37,(2,6)=49,(2,3)=53,(3,4)=62,(0,6)=63,(2,5)=67,(1,5)=71,(4,6)=76,(0,4)=86,(3,6)=93,(0,1)=94,(0,7)=95,(1,2)=96]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=5\",\"Find(2)=2, Find(7)=7, Add (2,7)=6 Succeeded, w=11\",\"Find(6)=6, Find(7)=2, Add (6,7)=7 Succeeded, w=18\",\"Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=30\",\"Find(0)=3, Find(2)=2, Add (0,2)=14 Succeeded, w=44\",\"Find(0)=3, Find(5)=3, Add (0,5)=16 Failed, w=44\",\"Find(4)=4, Find(7)=3, Add (4,7)=20 Succeeded, w=64\",\"Find(1)=1, Find(7)=3, Add (1,7)=23 Succeeded, w=87\",\"Find(4)=3, Find(5)=3, Add (4,5)=30 Failed, w=87\",\"Find(2)=3, Find(4)=3, Add (2,4)=33 Failed, w=87\",\"Find(1)=3, Find(4)=3, Add (1,4)=34 Failed, w=87\",\"Find(5)=3, Find(7)=3, Add (5,7)=37 Failed, w=87\",\"Find(2)=3, Find(6)=3, Add (2,6)=49 Failed, w=87\",\"Find(2)=3, Find(3)=3, Add (2,3)=53 Failed, w=87\",\"Find(3)=3, Find(4)=3, Add (3,4)=62 Failed, w=87\",\"Find(0)=3, Find(6)=3, Add (0,6)=63 Failed, w=87\",\"Find(2)=3, Find(5)=3, Add (2,5)=67 Failed, w=87\",\"Find(1)=3, Find(5)=3, Add (1,5)=71 Failed, w=87\",\"Find(4)=3, Find(6)=3, Add (4,6)=76 Failed, w=87\",\"Find(0)=3, Find(4)=3, Add (0,4)=86 Failed, w=87\",\"Find(3)=3, Find(6)=3, Add (3,6)=93 Failed, w=87\",\"Find(0)=3, Find(1)=3, Add (0,1)=94 Failed, w=87\",\"Find(0)=3, Find(7)=3, Add (0,7)=95 Failed, w=87\",\"Find(1)=3, Find(2)=3, Add (1,2)=96 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,2,14],[0,3,12],[0,4,86],[0,5,16],[0,6,63],[0,7,95],[1,2,96],[1,4,34],[1,5,71],[1,7,23],[2,3,53],[2,4,33],[2,5,67],[2,6,49],[2,7,6],[3,4,62],[3,5,5],[3,6,93],[4,5,30],[4,6,76],[4,7,20],[5,7,37],[6,7,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=5,(2,7)=6,(6,7)=7,(0,3)=12,(0,2)=14,(0,5)=16,(4,7)=20,(1,7)=23,(4,5)=30,(2,4)=33,(1,4)=34,(5,7)=37,(2,6)=49,(2,3)=53,(3,4)=62,(0,6)=63,(2,5)=67,(1,5)=71,(4,6)=76,(0,4)=86,(3,6)=93,(0,1)=94,(0,7)=95,(1,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 2, 7: 2}, Find(6)=6, Find(7)=2, Add (6,7)=7 Succeeded, w=18\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 2, 7: 2}, Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=30\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 2, 7: 2}, Find(0)=3, Find(2)=2, Add (0,2)=14 Succeeded, w=44\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 2, 7: 2}, Find(0)=3, Find(5)=3, Add (0,5)=16 Failed, w=44\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 2, 7: 3}, Find(4)=4, Find(7)=3, Add (4,7)=20 Succeeded, w=64\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 2, 7: 3}, Find(1)=1, Find(7)=3, Add (1,7)=23 Succeeded, w=87\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 2, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=30 Failed, w=87\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 2, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=33 Failed, w=87\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 2, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=34 Failed, w=87\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 2, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=37 Failed, w=87\",\"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)=49 Failed, w=87\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=53 Failed, w=87\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(4)=3, Add (3,4)=62 Failed, w=87\",\"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)=63 Failed, w=87\",\"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)=67 Failed, w=87\",\"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)=71 Failed, w=87\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=76 Failed, w=87\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=86 Failed, w=87\",\"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)=93 Failed, w=87\",\"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)=94 Failed, w=87\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(7)=3, Add (0,7)=95 Failed, w=87\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=96 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,34],[0,2,0],[0,3,75],[0,6,96],[1,4,56],[1,5,41],[1,6,12],[1,7,4],[2,3,64],[2,5,93],[3,4,85],[3,6,0],[3,7,30],[4,5,42],[4,7,93]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,0],[0,3,75],[0,6,96],[1,4,56],[1,5,41],[1,6,12],[1,7,4],[2,3,64],[2,5,93],[3,4,85],[3,6,0],[3,7,30],[4,5,42],[4,7,93]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,0],[0,3,75],[0,6,96],[1,4,56],[1,5,41],[1,6,12],[1,7,4],[2,3,64],[2,5,93],[3,4,85],[3,6,0],[3,7,30],[4,5,42],[4,7,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,6)\",\"Add (1,7)\",\"Add (1,6)\",\"Add (0,1)\",\"Add (1,5)\",\"Add (4,5)\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,0],[0,3,75],[0,6,96],[1,4,56],[1,5,41],[1,6,12],[1,7,4],[2,3,64],[2,5,93],[3,4,85],[3,6,0],[3,7,30],[4,5,42],[4,7,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0, w=0\",\"Add (3,6)=0, w=0\",\"Add (1,7)=4, w=4\",\"Add (1,6)=12, w=16\",\"Add (0,1)=34, w=50\",\"Add (1,5)=41, w=91\",\"Add (4,5)=42, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,0],[0,3,75],[0,6,96],[1,4,56],[1,5,41],[1,6,12],[1,7,4],[2,3,64],[2,5,93],[3,4,85],[3,6,0],[3,7,30],[4,5,42],[4,7,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0 Succeeded, w=0\",\"Add (3,6)=0 Succeeded, w=0\",\"Add (1,7)=4 Succeeded, w=4\",\"Add (1,6)=12 Succeeded, w=16\",\"Add (3,7)=30 Failed, w=16\",\"Add (0,1)=34 Succeeded, w=50\",\"Add (1,5)=41 Succeeded, w=91\",\"Add (4,5)=42 Succeeded, w=133\",\"Add (1,4)=56 Failed, w=133\",\"Add (2,3)=64 Failed, w=133\",\"Add (0,3)=75 Failed, w=133\",\"Add (3,4)=85 Failed, w=133\",\"Add (2,5)=93 Failed, w=133\",\"Add (4,7)=93 Failed, w=133\",\"Add (0,6)=96 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,0],[0,3,75],[0,6,96],[1,4,56],[1,5,41],[1,6,12],[1,7,4],[2,3,64],[2,5,93],[3,4,85],[3,6,0],[3,7,30],[4,5,42],[4,7,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(3,6)=0,(1,7)=4,(1,6)=12,(3,7)=30,(0,1)=34,(1,5)=41,(4,5)=42,(1,4)=56,(2,3)=64,(0,3)=75,(3,4)=85,(2,5)=93,(4,7)=93,(0,6)=96]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Find(3)=3, Find(6)=6, Add (3,6)=0 Succeeded, w=0\",\"Find(1)=1, Find(7)=7, Add (1,7)=4 Succeeded, w=4\",\"Find(1)=1, Find(6)=3, Add (1,6)=12 Succeeded, w=16\",\"Find(3)=1, Find(7)=1, Add (3,7)=30 Failed, w=16\",\"Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=50\",\"Find(1)=1, Find(5)=5, Add (1,5)=41 Succeeded, w=91\",\"Find(4)=4, Find(5)=1, Add (4,5)=42 Succeeded, w=133\",\"Find(1)=1, Find(4)=1, Add (1,4)=56 Failed, w=133\",\"Find(2)=1, Find(3)=1, Add (2,3)=64 Failed, w=133\",\"Find(0)=1, Find(3)=1, Add (0,3)=75 Failed, w=133\",\"Find(3)=1, Find(4)=1, Add (3,4)=85 Failed, w=133\",\"Find(2)=1, Find(5)=1, Add (2,5)=93 Failed, w=133\",\"Find(4)=1, Find(7)=1, Add (4,7)=93 Failed, w=133\",\"Find(0)=1, Find(6)=1, Add (0,6)=96 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,0],[0,3,75],[0,6,96],[1,4,56],[1,5,41],[1,6,12],[1,7,4],[2,3,64],[2,5,93],[3,4,85],[3,6,0],[3,7,30],[4,5,42],[4,7,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(3,6)=0,(1,7)=4,(1,6)=12,(3,7)=30,(0,1)=34,(1,5)=41,(4,5)=42,(1,4)=56,(2,3)=64,(0,3)=75,(3,4)=85,(2,5)=93,(4,7)=93,(0,6)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 3, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 5, 6: 3, 7: 1}, Find(1)=1, Find(6)=3, Add (1,6)=12 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 5, 6: 3, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=30 Failed, w=16\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 4, 5: 5, 6: 3, 7: 1}, Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=50\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 4, 5: 1, 6: 3, 7: 1}, Find(1)=1, Find(5)=5, Add (1,5)=41 Succeeded, w=91\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 3, 7: 1}, Find(4)=4, Find(5)=1, Add (4,5)=42 Succeeded, w=133\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 3, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=56 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=64 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=75 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=85 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=93 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=93 Failed, w=133\",\"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)=96 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,58],[0,2,98],[0,3,36],[0,4,56],[1,2,23],[1,3,55],[1,4,47],[2,3,20],[2,4,35],[3,4,20]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,98],[0,3,36],[0,4,56],[1,2,23],[1,3,55],[1,4,47],[2,3,20],[2,4,35],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,98],[0,3,36],[0,4,56],[1,2,23],[1,3,55],[1,4,47],[2,3,20],[2,4,35],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,98],[0,3,36],[0,4,56],[1,2,23],[1,3,55],[1,4,47],[2,3,20],[2,4,35],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=20, w=20\",\"Add (3,4)=20, w=40\",\"Add (1,2)=23, w=63\",\"Add (0,3)=36, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,98],[0,3,36],[0,4,56],[1,2,23],[1,3,55],[1,4,47],[2,3,20],[2,4,35],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=20 Succeeded, w=20\",\"Add (3,4)=20 Succeeded, w=40\",\"Add (1,2)=23 Succeeded, w=63\",\"Add (2,4)=35 Failed, w=63\",\"Add (0,3)=36 Succeeded, w=99\",\"Add (1,4)=47 Failed, w=99\",\"Add (1,3)=55 Failed, w=99\",\"Add (0,4)=56 Failed, w=99\",\"Add (0,1)=58 Failed, w=99\",\"Add (0,2)=98 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,98],[0,3,36],[0,4,56],[1,2,23],[1,3,55],[1,4,47],[2,3,20],[2,4,35],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=20,(3,4)=20,(1,2)=23,(2,4)=35,(0,3)=36,(1,4)=47,(1,3)=55,(0,4)=56,(0,1)=58,(0,2)=98]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=20 Succeeded, w=20\",\"Find(3)=2, Find(4)=4, Add (3,4)=20 Succeeded, w=40\",\"Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=63\",\"Find(2)=2, Find(4)=2, Add (2,4)=35 Failed, w=63\",\"Find(0)=0, Find(3)=2, Add (0,3)=36 Succeeded, w=99\",\"Find(1)=2, Find(4)=2, Add (1,4)=47 Failed, w=99\",\"Find(1)=2, Find(3)=2, Add (1,3)=55 Failed, w=99\",\"Find(0)=2, Find(4)=2, Add (0,4)=56 Failed, w=99\",\"Find(0)=2, Find(1)=2, Add (0,1)=58 Failed, w=99\",\"Find(0)=2, Find(2)=2, Add (0,2)=98 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,98],[0,3,36],[0,4,56],[1,2,23],[1,3,55],[1,4,47],[2,3,20],[2,4,35],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=20,(3,4)=20,(1,2)=23,(2,4)=35,(0,3)=36,(1,4)=47,(1,3)=55,(0,4)=56,(0,1)=58,(0,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=4, Add (3,4)=20 Succeeded, w=40\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=63\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=35 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(3)=2, Add (0,3)=36 Succeeded, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=47 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=55 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=56 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=58 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=98 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,21],[0,2,61],[0,3,0],[0,4,76],[1,2,35],[1,3,12],[1,4,4],[2,3,27],[2,4,6],[3,4,0]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,61],[0,3,0],[0,4,76],[1,2,35],[1,3,12],[1,4,4],[2,3,27],[2,4,6],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":10}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,61],[0,3,0],[0,4,76],[1,2,35],[1,3,12],[1,4,4],[2,3,27],[2,4,6],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (3,4)\",\"Add (1,4)\",\"Add (2,4)\"],\"Answer\":10}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,61],[0,3,0],[0,4,76],[1,2,35],[1,3,12],[1,4,4],[2,3,27],[2,4,6],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (3,4)=0, w=0\",\"Add (1,4)=4, w=4\",\"Add (2,4)=6, w=10\"],\"Answer\":10}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,61],[0,3,0],[0,4,76],[1,2,35],[1,3,12],[1,4,4],[2,3,27],[2,4,6],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (3,4)=0 Succeeded, w=0\",\"Add (1,4)=4 Succeeded, w=4\",\"Add (2,4)=6 Succeeded, w=10\",\"Add (1,3)=12 Failed, w=10\",\"Add (0,1)=21 Failed, w=10\",\"Add (2,3)=27 Failed, w=10\",\"Add (1,2)=35 Failed, w=10\",\"Add (0,2)=61 Failed, w=10\",\"Add (0,4)=76 Failed, w=10\"],\"Answer\":10}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,61],[0,3,0],[0,4,76],[1,2,35],[1,3,12],[1,4,4],[2,3,27],[2,4,6],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(3,4)=0,(1,4)=4,(2,4)=6,(1,3)=12,(0,1)=21,(2,3)=27,(1,2)=35,(0,2)=61,(0,4)=76]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(3)=0, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Find(1)=1, Find(4)=0, Add (1,4)=4 Succeeded, w=4\",\"Find(2)=2, Find(4)=0, Add (2,4)=6 Succeeded, w=10\",\"Find(1)=0, Find(3)=0, Add (1,3)=12 Failed, w=10\",\"Find(0)=0, Find(1)=0, Add (0,1)=21 Failed, w=10\",\"Find(2)=0, Find(3)=0, Add (2,3)=27 Failed, w=10\",\"Find(1)=0, Find(2)=0, Add (1,2)=35 Failed, w=10\",\"Find(0)=0, Find(2)=0, Add (0,2)=61 Failed, w=10\",\"Find(0)=0, Find(4)=0, Add (0,4)=76 Failed, w=10\"],\"Answer\":10}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,61],[0,3,0],[0,4,76],[1,2,35],[1,3,12],[1,4,4],[2,3,27],[2,4,6],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(3,4)=0,(1,4)=4,(2,4)=6,(1,3)=12,(0,1)=21,(2,3)=27,(1,2)=35,(0,2)=61,(0,4)=76]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=12 Failed, w=10\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=21 Failed, w=10\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=27 Failed, w=10\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=35 Failed, w=10\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=61 Failed, w=10\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=76 Failed, w=10\"],\"Answer\":10}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,93],[0,3,8],[0,4,94],[1,2,24],[1,3,29],[1,4,78],[2,3,0],[3,4,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,93],[0,3,8],[0,4,94],[1,2,24],[1,3,29],[1,4,78],[2,3,0],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,93],[0,3,8],[0,4,94],[1,2,24],[1,3,29],[1,4,78],[2,3,0],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (3,4)\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,93],[0,3,8],[0,4,94],[1,2,24],[1,3,29],[1,4,78],[2,3,0],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (0,3)=8, w=8\",\"Add (1,2)=24, w=32\",\"Add (3,4)=25, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,93],[0,3,8],[0,4,94],[1,2,24],[1,3,29],[1,4,78],[2,3,0],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (0,3)=8 Succeeded, w=8\",\"Add (1,2)=24 Succeeded, w=32\",\"Add (3,4)=25 Succeeded, w=57\",\"Add (1,3)=29 Failed, w=57\",\"Add (1,4)=78 Failed, w=57\",\"Add (0,2)=93 Failed, w=57\",\"Add (0,4)=94 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,93],[0,3,8],[0,4,94],[1,2,24],[1,3,29],[1,4,78],[2,3,0],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(0,3)=8,(1,2)=24,(3,4)=25,(1,3)=29,(1,4)=78,(0,2)=93,(0,4)=94]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(0)=0, Find(3)=2, Add (0,3)=8 Succeeded, w=8\",\"Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=32\",\"Find(3)=2, Find(4)=4, Add (3,4)=25 Succeeded, w=57\",\"Find(1)=2, Find(3)=2, Add (1,3)=29 Failed, w=57\",\"Find(1)=2, Find(4)=2, Add (1,4)=78 Failed, w=57\",\"Find(0)=2, Find(2)=2, Add (0,2)=93 Failed, w=57\",\"Find(0)=2, Find(4)=2, Add (0,4)=94 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,93],[0,3,8],[0,4,94],[1,2,24],[1,3,29],[1,4,78],[2,3,0],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(0,3)=8,(1,2)=24,(3,4)=25,(1,3)=29,(1,4)=78,(0,2)=93,(0,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(3)=2, Add (0,3)=8 Succeeded, w=8\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=32\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=4, Add (3,4)=25 Succeeded, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=29 Failed, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=78 Failed, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=93 Failed, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=94 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,95],[0,3,24],[0,5,45],[1,4,84],[1,5,95],[2,3,75],[2,4,89],[3,4,68],[3,5,48],[4,5,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,3,24],[0,5,45],[1,4,84],[1,5,95],[2,3,75],[2,4,89],[3,4,68],[3,5,48],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,3,24],[0,5,45],[1,4,84],[1,5,95],[2,3,75],[2,4,89],[3,4,68],[3,5,48],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (4,5)\",\"Add (0,5)\",\"Add (2,3)\",\"Add (1,4)\"],\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,3,24],[0,5,45],[1,4,84],[1,5,95],[2,3,75],[2,4,89],[3,4,68],[3,5,48],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=24, w=24\",\"Add (4,5)=38, w=62\",\"Add (0,5)=45, w=107\",\"Add (2,3)=75, w=182\",\"Add (1,4)=84, w=266\"],\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,3,24],[0,5,45],[1,4,84],[1,5,95],[2,3,75],[2,4,89],[3,4,68],[3,5,48],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=24 Succeeded, w=24\",\"Add (4,5)=38 Succeeded, w=62\",\"Add (0,5)=45 Succeeded, w=107\",\"Add (3,5)=48 Failed, w=107\",\"Add (3,4)=68 Failed, w=107\",\"Add (2,3)=75 Succeeded, w=182\",\"Add (1,4)=84 Succeeded, w=266\",\"Add (2,4)=89 Failed, w=266\",\"Add (0,1)=95 Failed, w=266\",\"Add (1,5)=95 Failed, w=266\"],\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,3,24],[0,5,45],[1,4,84],[1,5,95],[2,3,75],[2,4,89],[3,4,68],[3,5,48],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=24,(4,5)=38,(0,5)=45,(3,5)=48,(3,4)=68,(2,3)=75,(1,4)=84,(2,4)=89,(0,1)=95,(1,5)=95]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=24\",\"Find(4)=4, Find(5)=5, Add (4,5)=38 Succeeded, w=62\",\"Find(0)=0, Find(5)=4, Add (0,5)=45 Succeeded, w=107\",\"Find(3)=0, Find(5)=0, Add (3,5)=48 Failed, w=107\",\"Find(3)=0, Find(4)=0, Add (3,4)=68 Failed, w=107\",\"Find(2)=2, Find(3)=0, Add (2,3)=75 Succeeded, w=182\",\"Find(1)=1, Find(4)=0, Add (1,4)=84 Succeeded, w=266\",\"Find(2)=0, Find(4)=0, Add (2,4)=89 Failed, w=266\",\"Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=266\",\"Find(1)=0, Find(5)=0, Add (1,5)=95 Failed, w=266\"],\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,3,24],[0,5,45],[1,4,84],[1,5,95],[2,3,75],[2,4,89],[3,4,68],[3,5,48],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=24,(4,5)=38,(0,5)=45,(3,5)=48,(3,4)=68,(2,3)=75,(1,4)=84,(2,4)=89,(0,1)=95,(1,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=38 Succeeded, w=62\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 4}, Find(0)=0, Find(5)=4, Add (0,5)=45 Succeeded, w=107\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=48 Failed, w=107\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=68 Failed, w=107\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(3)=0, Add (2,3)=75 Succeeded, w=182\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(4)=0, Add (1,4)=84 Succeeded, w=266\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=89 Failed, w=266\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=266\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=95 Failed, w=266\"],\"Answer\":266}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,97],[0,2,34],[0,3,11],[0,4,1],[0,5,81],[0,6,100],[0,7,78],[1,2,17],[1,3,13],[1,4,76],[1,5,87],[1,6,74],[1,7,81],[2,3,10],[2,4,49],[2,5,21],[2,6,87],[2,7,16],[3,4,12],[3,5,61],[3,6,59],[3,7,65],[4,5,60],[4,6,59],[4,7,77],[5,6,80],[5,7,77],[6,7,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,2,34],[0,3,11],[0,4,1],[0,5,81],[0,6,100],[0,7,78],[1,2,17],[1,3,13],[1,4,76],[1,5,87],[1,6,74],[1,7,81],[2,3,10],[2,4,49],[2,5,21],[2,6,87],[2,7,16],[3,4,12],[3,5,61],[3,6,59],[3,7,65],[4,5,60],[4,6,59],[4,7,77],[5,6,80],[5,7,77],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,2,34],[0,3,11],[0,4,1],[0,5,81],[0,6,100],[0,7,78],[1,2,17],[1,3,13],[1,4,76],[1,5,87],[1,6,74],[1,7,81],[2,3,10],[2,4,49],[2,5,21],[2,6,87],[2,7,16],[3,4,12],[3,5,61],[3,6,59],[3,7,65],[4,5,60],[4,6,59],[4,7,77],[5,6,80],[5,7,77],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (1,3)\",\"Add (2,7)\",\"Add (2,5)\",\"Add (3,6)\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,2,34],[0,3,11],[0,4,1],[0,5,81],[0,6,100],[0,7,78],[1,2,17],[1,3,13],[1,4,76],[1,5,87],[1,6,74],[1,7,81],[2,3,10],[2,4,49],[2,5,21],[2,6,87],[2,7,16],[3,4,12],[3,5,61],[3,6,59],[3,7,65],[4,5,60],[4,6,59],[4,7,77],[5,6,80],[5,7,77],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1, w=1\",\"Add (2,3)=10, w=11\",\"Add (0,3)=11, w=22\",\"Add (1,3)=13, w=35\",\"Add (2,7)=16, w=51\",\"Add (2,5)=21, w=72\",\"Add (3,6)=59, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,2,34],[0,3,11],[0,4,1],[0,5,81],[0,6,100],[0,7,78],[1,2,17],[1,3,13],[1,4,76],[1,5,87],[1,6,74],[1,7,81],[2,3,10],[2,4,49],[2,5,21],[2,6,87],[2,7,16],[3,4,12],[3,5,61],[3,6,59],[3,7,65],[4,5,60],[4,6,59],[4,7,77],[5,6,80],[5,7,77],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1 Succeeded, w=1\",\"Add (2,3)=10 Succeeded, w=11\",\"Add (0,3)=11 Succeeded, w=22\",\"Add (3,4)=12 Failed, w=22\",\"Add (1,3)=13 Succeeded, w=35\",\"Add (2,7)=16 Succeeded, w=51\",\"Add (1,2)=17 Failed, w=51\",\"Add (2,5)=21 Succeeded, w=72\",\"Add (0,2)=34 Failed, w=72\",\"Add (2,4)=49 Failed, w=72\",\"Add (3,6)=59 Succeeded, w=131\",\"Add (4,6)=59 Failed, w=131\",\"Add (4,5)=60 Failed, w=131\",\"Add (3,5)=61 Failed, w=131\",\"Add (3,7)=65 Failed, w=131\",\"Add (1,6)=74 Failed, w=131\",\"Add (1,4)=76 Failed, w=131\",\"Add (4,7)=77 Failed, w=131\",\"Add (5,7)=77 Failed, w=131\",\"Add (0,7)=78 Failed, w=131\",\"Add (5,6)=80 Failed, w=131\",\"Add (0,5)=81 Failed, w=131\",\"Add (1,7)=81 Failed, w=131\",\"Add (6,7)=84 Failed, w=131\",\"Add (1,5)=87 Failed, w=131\",\"Add (2,6)=87 Failed, w=131\",\"Add (0,1)=97 Failed, w=131\",\"Add (0,6)=100 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,2,34],[0,3,11],[0,4,1],[0,5,81],[0,6,100],[0,7,78],[1,2,17],[1,3,13],[1,4,76],[1,5,87],[1,6,74],[1,7,81],[2,3,10],[2,4,49],[2,5,21],[2,6,87],[2,7,16],[3,4,12],[3,5,61],[3,6,59],[3,7,65],[4,5,60],[4,6,59],[4,7,77],[5,6,80],[5,7,77],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(2,3)=10,(0,3)=11,(3,4)=12,(1,3)=13,(2,7)=16,(1,2)=17,(2,5)=21,(0,2)=34,(2,4)=49,(3,6)=59,(4,6)=59,(4,5)=60,(3,5)=61,(3,7)=65,(1,6)=74,(1,4)=76,(4,7)=77,(5,7)=77,(0,7)=78,(5,6)=80,(0,5)=81,(1,7)=81,(6,7)=84,(1,5)=87,(2,6)=87,(0,1)=97,(0,6)=100]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=11\",\"Find(0)=0, Find(3)=2, Add (0,3)=11 Succeeded, w=22\",\"Find(3)=0, Find(4)=0, Add (3,4)=12 Failed, w=22\",\"Find(1)=1, Find(3)=0, Add (1,3)=13 Succeeded, w=35\",\"Find(2)=0, Find(7)=7, Add (2,7)=16 Succeeded, w=51\",\"Find(1)=0, Find(2)=0, Add (1,2)=17 Failed, w=51\",\"Find(2)=0, Find(5)=5, Add (2,5)=21 Succeeded, w=72\",\"Find(0)=0, Find(2)=0, Add (0,2)=34 Failed, w=72\",\"Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=72\",\"Find(3)=0, Find(6)=6, Add (3,6)=59 Succeeded, w=131\",\"Find(4)=0, Find(6)=0, Add (4,6)=59 Failed, w=131\",\"Find(4)=0, Find(5)=0, Add (4,5)=60 Failed, w=131\",\"Find(3)=0, Find(5)=0, Add (3,5)=61 Failed, w=131\",\"Find(3)=0, Find(7)=0, Add (3,7)=65 Failed, w=131\",\"Find(1)=0, Find(6)=0, Add (1,6)=74 Failed, w=131\",\"Find(1)=0, Find(4)=0, Add (1,4)=76 Failed, w=131\",\"Find(4)=0, Find(7)=0, Add (4,7)=77 Failed, w=131\",\"Find(5)=0, Find(7)=0, Add (5,7)=77 Failed, w=131\",\"Find(0)=0, Find(7)=0, Add (0,7)=78 Failed, w=131\",\"Find(5)=0, Find(6)=0, Add (5,6)=80 Failed, w=131\",\"Find(0)=0, Find(5)=0, Add (0,5)=81 Failed, w=131\",\"Find(1)=0, Find(7)=0, Add (1,7)=81 Failed, w=131\",\"Find(6)=0, Find(7)=0, Add (6,7)=84 Failed, w=131\",\"Find(1)=0, Find(5)=0, Add (1,5)=87 Failed, w=131\",\"Find(2)=0, Find(6)=0, Add (2,6)=87 Failed, w=131\",\"Find(0)=0, Find(1)=0, Add (0,1)=97 Failed, w=131\",\"Find(0)=0, Find(6)=0, Add (0,6)=100 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,2,34],[0,3,11],[0,4,1],[0,5,81],[0,6,100],[0,7,78],[1,2,17],[1,3,13],[1,4,76],[1,5,87],[1,6,74],[1,7,81],[2,3,10],[2,4,49],[2,5,21],[2,6,87],[2,7,16],[3,4,12],[3,5,61],[3,6,59],[3,7,65],[4,5,60],[4,6,59],[4,7,77],[5,6,80],[5,7,77],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(2,3)=10,(0,3)=11,(3,4)=12,(1,3)=13,(2,7)=16,(1,2)=17,(2,5)=21,(0,2)=34,(2,4)=49,(3,6)=59,(4,6)=59,(4,5)=60,(3,5)=61,(3,7)=65,(1,6)=74,(1,4)=76,(4,7)=77,(5,7)=77,(0,7)=78,(5,6)=80,(0,5)=81,(1,7)=81,(6,7)=84,(1,5)=87,(2,6)=87,(0,1)=97,(0,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=2, Add (0,3)=11 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6, 7: 7}, Find(3)=0, Find(4)=0, Add (3,4)=12 Failed, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=0, Add (1,3)=13 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6, 7: 0}, Find(2)=0, Find(7)=7, Add (2,7)=16 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=17 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(2)=0, Find(5)=5, Add (2,5)=21 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=34 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=6, Add (3,6)=59 Succeeded, w=131\",\"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)=59 Failed, w=131\",\"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)=60 Failed, w=131\",\"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)=61 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=65 Failed, w=131\",\"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)=74 Failed, w=131\",\"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)=76 Failed, w=131\",\"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)=77 Failed, w=131\",\"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)=77 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=78 Failed, w=131\",\"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)=80 Failed, w=131\",\"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)=81 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=81 Failed, w=131\",\"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)=84 Failed, w=131\",\"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)=87 Failed, w=131\",\"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)=87 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=97 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=100 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,31],[0,4,9],[1,3,52],[1,4,62],[2,3,57],[3,4,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,4,9],[1,3,52],[1,4,62],[2,3,57],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,4,9],[1,3,52],[1,4,62],[2,3,57],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,1)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,4,9],[1,3,52],[1,4,62],[2,3,57],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=9, w=9\",\"Add (0,1)=31, w=40\",\"Add (1,3)=52, w=92\",\"Add (2,3)=57, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,4,9],[1,3,52],[1,4,62],[2,3,57],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=9 Succeeded, w=9\",\"Add (0,1)=31 Succeeded, w=40\",\"Add (1,3)=52 Succeeded, w=92\",\"Add (2,3)=57 Succeeded, w=149\",\"Add (1,4)=62 Failed, w=149\",\"Add (3,4)=86 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,4,9],[1,3,52],[1,4,62],[2,3,57],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=9,(0,1)=31,(1,3)=52,(2,3)=57,(1,4)=62,(3,4)=86]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=9\",\"Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=40\",\"Find(1)=0, Find(3)=3, Add (1,3)=52 Succeeded, w=92\",\"Find(2)=2, Find(3)=0, Add (2,3)=57 Succeeded, w=149\",\"Find(1)=0, Find(4)=0, Add (1,4)=62 Failed, w=149\",\"Find(3)=0, Find(4)=0, Add (3,4)=86 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,4,9],[1,3,52],[1,4,62],[2,3,57],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=9,(0,1)=31,(1,3)=52,(2,3)=57,(1,4)=62,(3,4)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(3)=3, Add (1,3)=52 Succeeded, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(3)=0, Add (2,3)=57 Succeeded, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=62 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=86 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,100],[0,2,77],[0,4,86],[1,2,35],[1,3,14],[2,3,3],[2,4,0],[3,4,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,77],[0,4,86],[1,2,35],[1,3,14],[2,3,3],[2,4,0],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,77],[0,4,86],[1,2,35],[1,3,14],[2,3,3],[2,4,0],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,77],[0,4,86],[1,2,35],[1,3,14],[2,3,3],[2,4,0],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0, w=0\",\"Add (2,3)=3, w=3\",\"Add (1,3)=14, w=17\",\"Add (0,2)=77, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,77],[0,4,86],[1,2,35],[1,3,14],[2,3,3],[2,4,0],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0 Succeeded, w=0\",\"Add (2,3)=3 Succeeded, w=3\",\"Add (1,3)=14 Succeeded, w=17\",\"Add (1,2)=35 Failed, w=17\",\"Add (3,4)=43 Failed, w=17\",\"Add (0,2)=77 Succeeded, w=94\",\"Add (0,4)=86 Failed, w=94\",\"Add (0,1)=100 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,77],[0,4,86],[1,2,35],[1,3,14],[2,3,3],[2,4,0],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(2,3)=3,(1,3)=14,(1,2)=35,(3,4)=43,(0,2)=77,(0,4)=86,(0,1)=100]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Find(1)=1, Find(3)=2, Add (1,3)=14 Succeeded, w=17\",\"Find(1)=2, Find(2)=2, Add (1,2)=35 Failed, w=17\",\"Find(3)=2, Find(4)=2, Add (3,4)=43 Failed, w=17\",\"Find(0)=0, Find(2)=2, Add (0,2)=77 Succeeded, w=94\",\"Find(0)=2, Find(4)=2, Add (0,4)=86 Failed, w=94\",\"Find(0)=2, Find(1)=2, Add (0,1)=100 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,77],[0,4,86],[1,2,35],[1,3,14],[2,3,3],[2,4,0],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(2,3)=3,(1,3)=14,(1,2)=35,(3,4)=43,(0,2)=77,(0,4)=86,(0,1)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(3)=2, Add (1,3)=14 Succeeded, w=17\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=35 Failed, w=17\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=43 Failed, w=17\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=77 Succeeded, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=86 Failed, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=100 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,92],[0,2,7],[0,3,55],[0,4,99],[1,2,18],[1,3,72],[1,4,46],[2,3,33],[2,4,1],[3,4,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,7],[0,3,55],[0,4,99],[1,2,18],[1,3,72],[1,4,46],[2,3,33],[2,4,1],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,7],[0,3,55],[0,4,99],[1,2,18],[1,3,72],[1,4,46],[2,3,33],[2,4,1],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,7],[0,3,55],[0,4,99],[1,2,18],[1,3,72],[1,4,46],[2,3,33],[2,4,1],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (0,2)=7, w=8\",\"Add (1,2)=18, w=26\",\"Add (2,3)=33, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,7],[0,3,55],[0,4,99],[1,2,18],[1,3,72],[1,4,46],[2,3,33],[2,4,1],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (0,2)=7 Succeeded, w=8\",\"Add (1,2)=18 Succeeded, w=26\",\"Add (2,3)=33 Succeeded, w=59\",\"Add (1,4)=46 Failed, w=59\",\"Add (3,4)=54 Failed, w=59\",\"Add (0,3)=55 Failed, w=59\",\"Add (1,3)=72 Failed, w=59\",\"Add (0,1)=92 Failed, w=59\",\"Add (0,4)=99 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,7],[0,3,55],[0,4,99],[1,2,18],[1,3,72],[1,4,46],[2,3,33],[2,4,1],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(0,2)=7,(1,2)=18,(2,3)=33,(1,4)=46,(3,4)=54,(0,3)=55,(1,3)=72,(0,1)=92,(0,4)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=8\",\"Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=26\",\"Find(2)=2, Find(3)=3, Add (2,3)=33 Succeeded, w=59\",\"Find(1)=2, Find(4)=2, Add (1,4)=46 Failed, w=59\",\"Find(3)=2, Find(4)=2, Add (3,4)=54 Failed, w=59\",\"Find(0)=2, Find(3)=2, Add (0,3)=55 Failed, w=59\",\"Find(1)=2, Find(3)=2, Add (1,3)=72 Failed, w=59\",\"Find(0)=2, Find(1)=2, Add (0,1)=92 Failed, w=59\",\"Find(0)=2, Find(4)=2, Add (0,4)=99 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,7],[0,3,55],[0,4,99],[1,2,18],[1,3,72],[1,4,46],[2,3,33],[2,4,1],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(0,2)=7,(1,2)=18,(2,3)=33,(1,4)=46,(3,4)=54,(0,3)=55,(1,3)=72,(0,1)=92,(0,4)=99]\",\"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: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=8\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=26\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=3, Add (2,3)=33 Succeeded, w=59\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=46 Failed, w=59\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=54 Failed, w=59\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=55 Failed, w=59\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=72 Failed, w=59\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=92 Failed, w=59\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=99 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,88],[0,2,38],[0,4,37],[1,2,0],[1,3,78],[1,4,100],[2,3,88],[2,4,49],[3,4,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,38],[0,4,37],[1,2,0],[1,3,78],[1,4,100],[2,3,88],[2,4,49],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,38],[0,4,37],[1,2,0],[1,3,78],[1,4,100],[2,3,88],[2,4,49],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (0,2)\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,38],[0,4,37],[1,2,0],[1,3,78],[1,4,100],[2,3,88],[2,4,49],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (3,4)=23, w=23\",\"Add (0,4)=37, w=60\",\"Add (0,2)=38, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,38],[0,4,37],[1,2,0],[1,3,78],[1,4,100],[2,3,88],[2,4,49],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (3,4)=23 Succeeded, w=23\",\"Add (0,4)=37 Succeeded, w=60\",\"Add (0,2)=38 Succeeded, w=98\",\"Add (2,4)=49 Failed, w=98\",\"Add (1,3)=78 Failed, w=98\",\"Add (0,1)=88 Failed, w=98\",\"Add (2,3)=88 Failed, w=98\",\"Add (1,4)=100 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,38],[0,4,37],[1,2,0],[1,3,78],[1,4,100],[2,3,88],[2,4,49],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(3,4)=23,(0,4)=37,(0,2)=38,(2,4)=49,(1,3)=78,(0,1)=88,(2,3)=88,(1,4)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(3)=3, Find(4)=4, Add (3,4)=23 Succeeded, w=23\",\"Find(0)=0, Find(4)=3, Add (0,4)=37 Succeeded, w=60\",\"Find(0)=3, Find(2)=1, Add (0,2)=38 Succeeded, w=98\",\"Find(2)=3, Find(4)=3, Add (2,4)=49 Failed, w=98\",\"Find(1)=3, Find(3)=3, Add (1,3)=78 Failed, w=98\",\"Find(0)=3, Find(1)=3, Add (0,1)=88 Failed, w=98\",\"Find(2)=3, Find(3)=3, Add (2,3)=88 Failed, w=98\",\"Find(1)=3, Find(4)=3, Add (1,4)=100 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,38],[0,4,37],[1,2,0],[1,3,78],[1,4,100],[2,3,88],[2,4,49],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(3,4)=23,(0,4)=37,(0,2)=38,(2,4)=49,(1,3)=78,(0,1)=88,(2,3)=88,(1,4)=100]\",\"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: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=23 Succeeded, w=23\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=37 Succeeded, w=60\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3}, Find(0)=3, Find(2)=1, Add (0,2)=38 Succeeded, w=98\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(4)=3, Add (2,4)=49 Failed, w=98\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(3)=3, Add (1,3)=78 Failed, w=98\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(1)=3, Add (0,1)=88 Failed, w=98\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(3)=3, Add (2,3)=88 Failed, w=98\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(4)=3, Add (1,4)=100 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,8],[0,4,65],[0,5,61],[1,3,76],[1,4,75],[1,5,17],[1,6,37],[2,3,54],[2,4,58],[2,5,40],[2,6,91],[3,4,27],[3,6,90],[4,5,99],[5,6,6]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,8],[0,4,65],[0,5,61],[1,3,76],[1,4,75],[1,5,17],[1,6,37],[2,3,54],[2,4,58],[2,5,40],[2,6,91],[3,4,27],[3,6,90],[4,5,99],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,8],[0,4,65],[0,5,61],[1,3,76],[1,4,75],[1,5,17],[1,6,37],[2,3,54],[2,4,58],[2,5,40],[2,6,91],[3,4,27],[3,6,90],[4,5,99],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (0,3)\",\"Add (1,5)\",\"Add (3,4)\",\"Add (2,5)\",\"Add (2,3)\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,8],[0,4,65],[0,5,61],[1,3,76],[1,4,75],[1,5,17],[1,6,37],[2,3,54],[2,4,58],[2,5,40],[2,6,91],[3,4,27],[3,6,90],[4,5,99],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=6, w=6\",\"Add (0,3)=8, w=14\",\"Add (1,5)=17, w=31\",\"Add (3,4)=27, w=58\",\"Add (2,5)=40, w=98\",\"Add (2,3)=54, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,8],[0,4,65],[0,5,61],[1,3,76],[1,4,75],[1,5,17],[1,6,37],[2,3,54],[2,4,58],[2,5,40],[2,6,91],[3,4,27],[3,6,90],[4,5,99],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=6 Succeeded, w=6\",\"Add (0,3)=8 Succeeded, w=14\",\"Add (1,5)=17 Succeeded, w=31\",\"Add (3,4)=27 Succeeded, w=58\",\"Add (1,6)=37 Failed, w=58\",\"Add (2,5)=40 Succeeded, w=98\",\"Add (2,3)=54 Succeeded, w=152\",\"Add (2,4)=58 Failed, w=152\",\"Add (0,5)=61 Failed, w=152\",\"Add (0,4)=65 Failed, w=152\",\"Add (1,4)=75 Failed, w=152\",\"Add (1,3)=76 Failed, w=152\",\"Add (3,6)=90 Failed, w=152\",\"Add (2,6)=91 Failed, w=152\",\"Add (4,5)=99 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,8],[0,4,65],[0,5,61],[1,3,76],[1,4,75],[1,5,17],[1,6,37],[2,3,54],[2,4,58],[2,5,40],[2,6,91],[3,4,27],[3,6,90],[4,5,99],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=6,(0,3)=8,(1,5)=17,(3,4)=27,(1,6)=37,(2,5)=40,(2,3)=54,(2,4)=58,(0,5)=61,(0,4)=65,(1,4)=75,(1,3)=76,(3,6)=90,(2,6)=91,(4,5)=99]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=6 Succeeded, w=6\",\"Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=14\",\"Find(1)=1, Find(5)=5, Add (1,5)=17 Succeeded, w=31\",\"Find(3)=0, Find(4)=4, Add (3,4)=27 Succeeded, w=58\",\"Find(1)=5, Find(6)=5, Add (1,6)=37 Failed, w=58\",\"Find(2)=2, Find(5)=5, Add (2,5)=40 Succeeded, w=98\",\"Find(2)=5, Find(3)=0, Add (2,3)=54 Succeeded, w=152\",\"Find(2)=5, Find(4)=5, Add (2,4)=58 Failed, w=152\",\"Find(0)=5, Find(5)=5, Add (0,5)=61 Failed, w=152\",\"Find(0)=5, Find(4)=5, Add (0,4)=65 Failed, w=152\",\"Find(1)=5, Find(4)=5, Add (1,4)=75 Failed, w=152\",\"Find(1)=5, Find(3)=5, Add (1,3)=76 Failed, w=152\",\"Find(3)=5, Find(6)=5, Add (3,6)=90 Failed, w=152\",\"Find(2)=5, Find(6)=5, Add (2,6)=91 Failed, w=152\",\"Find(4)=5, Find(5)=5, Add (4,5)=99 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,8],[0,4,65],[0,5,61],[1,3,76],[1,4,75],[1,5,17],[1,6,37],[2,3,54],[2,4,58],[2,5,40],[2,6,91],[3,4,27],[3,6,90],[4,5,99],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=6,(0,3)=8,(1,5)=17,(3,4)=27,(1,6)=37,(2,5)=40,(2,3)=54,(2,4)=58,(0,5)=61,(0,4)=65,(1,4)=75,(1,3)=76,(3,6)=90,(2,6)=91,(4,5)=99]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 0, 4: 4, 5: 5, 6: 5}, Find(1)=1, Find(5)=5, Add (1,5)=17 Succeeded, w=31\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 0, 4: 0, 5: 5, 6: 5}, Find(3)=0, Find(4)=4, Add (3,4)=27 Succeeded, w=58\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 0, 4: 0, 5: 5, 6: 5}, Find(1)=5, Find(6)=5, Add (1,6)=37 Failed, w=58\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 0, 4: 0, 5: 5, 6: 5}, Find(2)=2, Find(5)=5, Add (2,5)=40 Succeeded, w=98\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 0, 4: 0, 5: 5, 6: 5}, Find(2)=5, Find(3)=0, Add (2,3)=54 Succeeded, w=152\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 0, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(4)=5, Add (2,4)=58 Failed, w=152\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 0, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(5)=5, Add (0,5)=61 Failed, w=152\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 0, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(4)=5, Add (0,4)=65 Failed, w=152\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 0, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(4)=5, Add (1,4)=75 Failed, w=152\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(3)=5, Add (1,3)=76 Failed, w=152\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(3)=5, Find(6)=5, Add (3,6)=90 Failed, w=152\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(6)=5, Add (2,6)=91 Failed, w=152\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(4)=5, Find(5)=5, Add (4,5)=99 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,58],[0,2,89],[0,3,44],[1,2,23],[1,3,65],[2,3,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,58],[0,2,89],[0,3,44],[1,2,23],[1,3,65],[2,3,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,58],[0,2,89],[0,3,44],[1,2,23],[1,3,65],[2,3,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,58],[0,2,89],[0,3,44],[1,2,23],[1,3,65],[2,3,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=23, w=23\",\"Add (0,3)=44, w=67\",\"Add (0,1)=58, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,58],[0,2,89],[0,3,44],[1,2,23],[1,3,65],[2,3,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=23 Succeeded, w=23\",\"Add (0,3)=44 Succeeded, w=67\",\"Add (0,1)=58 Succeeded, w=125\",\"Add (2,3)=59 Failed, w=125\",\"Add (1,3)=65 Failed, w=125\",\"Add (0,2)=89 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,58],[0,2,89],[0,3,44],[1,2,23],[1,3,65],[2,3,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=23,(0,3)=44,(0,1)=58,(2,3)=59,(1,3)=65,(0,2)=89]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=23\",\"Find(0)=0, Find(3)=3, Add (0,3)=44 Succeeded, w=67\",\"Find(0)=0, Find(1)=1, Add (0,1)=58 Succeeded, w=125\",\"Find(2)=0, Find(3)=0, Add (2,3)=59 Failed, w=125\",\"Find(1)=0, Find(3)=0, Add (1,3)=65 Failed, w=125\",\"Find(0)=0, Find(2)=0, Add (0,2)=89 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,58],[0,2,89],[0,3,44],[1,2,23],[1,3,65],[2,3,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=23,(0,3)=44,(0,1)=58,(2,3)=59,(1,3)=65,(0,2)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=44 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=58 Succeeded, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=59 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=65 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=89 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,83],[0,4,57],[1,3,67],[1,4,1],[1,5,60],[2,3,97],[3,5,46],[4,5,92]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,4,57],[1,3,67],[1,4,1],[1,5,60],[2,3,97],[3,5,46],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":261}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,4,57],[1,3,67],[1,4,1],[1,5,60],[2,3,97],[3,5,46],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,5)\",\"Add (0,4)\",\"Add (1,5)\",\"Add (2,3)\"],\"Answer\":261}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,4,57],[1,3,67],[1,4,1],[1,5,60],[2,3,97],[3,5,46],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1, w=1\",\"Add (3,5)=46, w=47\",\"Add (0,4)=57, w=104\",\"Add (1,5)=60, w=164\",\"Add (2,3)=97, w=261\"],\"Answer\":261}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,4,57],[1,3,67],[1,4,1],[1,5,60],[2,3,97],[3,5,46],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1 Succeeded, w=1\",\"Add (3,5)=46 Succeeded, w=47\",\"Add (0,4)=57 Succeeded, w=104\",\"Add (1,5)=60 Succeeded, w=164\",\"Add (1,3)=67 Failed, w=164\",\"Add (0,1)=83 Failed, w=164\",\"Add (4,5)=92 Failed, w=164\",\"Add (2,3)=97 Succeeded, w=261\"],\"Answer\":261}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,4,57],[1,3,67],[1,4,1],[1,5,60],[2,3,97],[3,5,46],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(3,5)=46,(0,4)=57,(1,5)=60,(1,3)=67,(0,1)=83,(4,5)=92,(2,3)=97]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Find(3)=3, Find(5)=5, Add (3,5)=46 Succeeded, w=47\",\"Find(0)=0, Find(4)=1, Add (0,4)=57 Succeeded, w=104\",\"Find(1)=1, Find(5)=3, Add (1,5)=60 Succeeded, w=164\",\"Find(1)=1, Find(3)=1, Add (1,3)=67 Failed, w=164\",\"Find(0)=1, Find(1)=1, Add (0,1)=83 Failed, w=164\",\"Find(4)=1, Find(5)=1, Add (4,5)=92 Failed, w=164\",\"Find(2)=2, Find(3)=1, Add (2,3)=97 Succeeded, w=261\"],\"Answer\":261}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,4,57],[1,3,67],[1,4,1],[1,5,60],[2,3,97],[3,5,46],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(3,5)=46,(0,4)=57,(1,5)=60,(1,3)=67,(0,1)=83,(4,5)=92,(2,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=46 Succeeded, w=47\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3}, Find(0)=0, Find(4)=1, Add (0,4)=57 Succeeded, w=104\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 3}, Find(1)=1, Find(5)=3, Add (1,5)=60 Succeeded, w=164\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 3}, Find(1)=1, Find(3)=1, Add (1,3)=67 Failed, w=164\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 3}, Find(0)=1, Find(1)=1, Add (0,1)=83 Failed, w=164\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=92 Failed, w=164\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=2, Find(3)=1, Add (2,3)=97 Succeeded, w=261\"],\"Answer\":261}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,85],[0,5,80],[0,6,58],[0,7,2],[1,2,18],[1,3,83],[1,5,73],[1,6,27],[1,7,49],[2,3,40],[2,5,35],[2,6,89],[3,4,49],[4,6,36],[6,7,63]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,85],[0,5,80],[0,6,58],[0,7,2],[1,2,18],[1,3,83],[1,5,73],[1,6,27],[1,7,49],[2,3,40],[2,5,35],[2,6,89],[3,4,49],[4,6,36],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,85],[0,5,80],[0,6,58],[0,7,2],[1,2,18],[1,3,83],[1,5,73],[1,6,27],[1,7,49],[2,3,40],[2,5,35],[2,6,89],[3,4,49],[4,6,36],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (1,2)\",\"Add (1,6)\",\"Add (2,5)\",\"Add (4,6)\",\"Add (2,3)\",\"Add (1,7)\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,85],[0,5,80],[0,6,58],[0,7,2],[1,2,18],[1,3,83],[1,5,73],[1,6,27],[1,7,49],[2,3,40],[2,5,35],[2,6,89],[3,4,49],[4,6,36],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=2, w=2\",\"Add (1,2)=18, w=20\",\"Add (1,6)=27, w=47\",\"Add (2,5)=35, w=82\",\"Add (4,6)=36, w=118\",\"Add (2,3)=40, w=158\",\"Add (1,7)=49, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,85],[0,5,80],[0,6,58],[0,7,2],[1,2,18],[1,3,83],[1,5,73],[1,6,27],[1,7,49],[2,3,40],[2,5,35],[2,6,89],[3,4,49],[4,6,36],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=2 Succeeded, w=2\",\"Add (1,2)=18 Succeeded, w=20\",\"Add (1,6)=27 Succeeded, w=47\",\"Add (2,5)=35 Succeeded, w=82\",\"Add (4,6)=36 Succeeded, w=118\",\"Add (2,3)=40 Succeeded, w=158\",\"Add (1,7)=49 Succeeded, w=207\",\"Add (3,4)=49 Failed, w=207\",\"Add (0,6)=58 Failed, w=207\",\"Add (6,7)=63 Failed, w=207\",\"Add (1,5)=73 Failed, w=207\",\"Add (0,5)=80 Failed, w=207\",\"Add (1,3)=83 Failed, w=207\",\"Add (0,2)=85 Failed, w=207\",\"Add (2,6)=89 Failed, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,85],[0,5,80],[0,6,58],[0,7,2],[1,2,18],[1,3,83],[1,5,73],[1,6,27],[1,7,49],[2,3,40],[2,5,35],[2,6,89],[3,4,49],[4,6,36],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=2,(1,2)=18,(1,6)=27,(2,5)=35,(4,6)=36,(2,3)=40,(1,7)=49,(3,4)=49,(0,6)=58,(6,7)=63,(1,5)=73,(0,5)=80,(1,3)=83,(0,2)=85,(2,6)=89]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=2 Succeeded, w=2\",\"Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=20\",\"Find(1)=1, Find(6)=6, Add (1,6)=27 Succeeded, w=47\",\"Find(2)=1, Find(5)=5, Add (2,5)=35 Succeeded, w=82\",\"Find(4)=4, Find(6)=1, Add (4,6)=36 Succeeded, w=118\",\"Find(2)=1, Find(3)=3, Add (2,3)=40 Succeeded, w=158\",\"Find(1)=1, Find(7)=0, Add (1,7)=49 Succeeded, w=207\",\"Find(3)=1, Find(4)=1, Add (3,4)=49 Failed, w=207\",\"Find(0)=1, Find(6)=1, Add (0,6)=58 Failed, w=207\",\"Find(6)=1, Find(7)=1, Add (6,7)=63 Failed, w=207\",\"Find(1)=1, Find(5)=1, Add (1,5)=73 Failed, w=207\",\"Find(0)=1, Find(5)=1, Add (0,5)=80 Failed, w=207\",\"Find(1)=1, Find(3)=1, Add (1,3)=83 Failed, w=207\",\"Find(0)=1, Find(2)=1, Add (0,2)=85 Failed, w=207\",\"Find(2)=1, Find(6)=1, Add (2,6)=89 Failed, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,85],[0,5,80],[0,6,58],[0,7,2],[1,2,18],[1,3,83],[1,5,73],[1,6,27],[1,7,49],[2,3,40],[2,5,35],[2,6,89],[3,4,49],[4,6,36],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=2,(1,2)=18,(1,6)=27,(2,5)=35,(4,6)=36,(2,3)=40,(1,7)=49,(3,4)=49,(0,6)=58,(6,7)=63,(1,5)=73,(0,5)=80,(1,3)=83,(0,2)=85,(2,6)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 0}, Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 1, 7: 0}, Find(1)=1, Find(6)=6, Add (1,6)=27 Succeeded, w=47\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 1, 7: 0}, Find(2)=1, Find(5)=5, Add (2,5)=35 Succeeded, w=82\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 0}, Find(4)=4, Find(6)=1, Add (4,6)=36 Succeeded, w=118\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(2)=1, Find(3)=3, Add (2,3)=40 Succeeded, w=158\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(1)=1, Find(7)=0, Add (1,7)=49 Succeeded, w=207\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(3)=1, Find(4)=1, Add (3,4)=49 Failed, w=207\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(0)=1, Find(6)=1, Add (0,6)=58 Failed, w=207\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=63 Failed, w=207\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=73 Failed, w=207\",\"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)=80 Failed, w=207\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(3)=1, Add (1,3)=83 Failed, w=207\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=85 Failed, w=207\",\"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=207\"],\"Answer\":207}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,57],[0,2,42],[0,3,48],[1,3,14],[2,3,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,42],[0,3,48],[1,3,14],[2,3,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,42],[0,3,48],[1,3,14],[2,3,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,42],[0,3,48],[1,3,14],[2,3,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=14, w=14\",\"Add (0,2)=42, w=56\",\"Add (0,3)=48, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,42],[0,3,48],[1,3,14],[2,3,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=14 Succeeded, w=14\",\"Add (0,2)=42 Succeeded, w=56\",\"Add (0,3)=48 Succeeded, w=104\",\"Add (0,1)=57 Failed, w=104\",\"Add (2,3)=73 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,42],[0,3,48],[1,3,14],[2,3,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=14,(0,2)=42,(0,3)=48,(0,1)=57,(2,3)=73]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=14\",\"Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=56\",\"Find(0)=0, Find(3)=1, Add (0,3)=48 Succeeded, w=104\",\"Find(0)=0, Find(1)=0, Add (0,1)=57 Failed, w=104\",\"Find(2)=0, Find(3)=0, Add (2,3)=73 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,42],[0,3,48],[1,3,14],[2,3,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=14,(0,2)=42,(0,3)=48,(0,1)=57,(2,3)=73]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=48 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(1)=0, Add (0,1)=57 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=73 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,10],[0,3,59],[0,4,22],[0,5,62],[1,2,98],[1,3,0],[1,4,97],[1,5,88],[2,3,47],[2,5,3],[3,4,83],[3,5,24],[4,5,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,3,59],[0,4,22],[0,5,62],[1,2,98],[1,3,0],[1,4,97],[1,5,88],[2,3,47],[2,5,3],[3,4,83],[3,5,24],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,3,59],[0,4,22],[0,5,62],[1,2,98],[1,3,0],[1,4,97],[1,5,88],[2,3,47],[2,5,3],[3,4,83],[3,5,24],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,5)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (3,5)\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,3,59],[0,4,22],[0,5,62],[1,2,98],[1,3,0],[1,4,97],[1,5,88],[2,3,47],[2,5,3],[3,4,83],[3,5,24],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (2,5)=3, w=3\",\"Add (0,2)=10, w=13\",\"Add (0,4)=22, w=35\",\"Add (3,5)=24, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,3,59],[0,4,22],[0,5,62],[1,2,98],[1,3,0],[1,4,97],[1,5,88],[2,3,47],[2,5,3],[3,4,83],[3,5,24],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (2,5)=3 Succeeded, w=3\",\"Add (0,2)=10 Succeeded, w=13\",\"Add (0,4)=22 Succeeded, w=35\",\"Add (3,5)=24 Succeeded, w=59\",\"Add (2,3)=47 Failed, w=59\",\"Add (0,3)=59 Failed, w=59\",\"Add (0,5)=62 Failed, w=59\",\"Add (3,4)=83 Failed, w=59\",\"Add (1,5)=88 Failed, w=59\",\"Add (4,5)=90 Failed, w=59\",\"Add (1,4)=97 Failed, w=59\",\"Add (1,2)=98 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,3,59],[0,4,22],[0,5,62],[1,2,98],[1,3,0],[1,4,97],[1,5,88],[2,3,47],[2,5,3],[3,4,83],[3,5,24],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(2,5)=3,(0,2)=10,(0,4)=22,(3,5)=24,(2,3)=47,(0,3)=59,(0,5)=62,(3,4)=83,(1,5)=88,(4,5)=90,(1,4)=97,(1,2)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=3\",\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=13\",\"Find(0)=2, Find(4)=4, Add (0,4)=22 Succeeded, w=35\",\"Find(3)=1, Find(5)=2, Add (3,5)=24 Succeeded, w=59\",\"Find(2)=1, Find(3)=1, Add (2,3)=47 Failed, w=59\",\"Find(0)=1, Find(3)=1, Add (0,3)=59 Failed, w=59\",\"Find(0)=1, Find(5)=1, Add (0,5)=62 Failed, w=59\",\"Find(3)=1, Find(4)=1, Add (3,4)=83 Failed, w=59\",\"Find(1)=1, Find(5)=1, Add (1,5)=88 Failed, w=59\",\"Find(4)=1, Find(5)=1, Add (4,5)=90 Failed, w=59\",\"Find(1)=1, Find(4)=1, Add (1,4)=97 Failed, w=59\",\"Find(1)=1, Find(2)=1, Add (1,2)=98 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,3,59],[0,4,22],[0,5,62],[1,2,98],[1,3,0],[1,4,97],[1,5,88],[2,3,47],[2,5,3],[3,4,83],[3,5,24],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(2,5)=3,(0,2)=10,(0,4)=22,(3,5)=24,(2,3)=47,(0,3)=59,(0,5)=62,(3,4)=83,(1,5)=88,(4,5)=90,(1,4)=97,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=3\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=13\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2}, Find(0)=2, Find(4)=4, Add (0,4)=22 Succeeded, w=35\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2}, Find(3)=1, Find(5)=2, Add (3,5)=24 Succeeded, w=59\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2}, Find(2)=1, Find(3)=1, Add (2,3)=47 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2}, Find(0)=1, Find(3)=1, Add (0,3)=59 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=62 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=83 Failed, w=59\",\"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=59\",\"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=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=97 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=98 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,99],[0,3,67],[1,3,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,99],[0,3,67],[1,3,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,99],[0,3,67],[1,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,99],[0,3,67],[1,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=7, w=7\",\"Add (0,3)=67, w=74\",\"Add (0,2)=99, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,99],[0,3,67],[1,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=7 Succeeded, w=7\",\"Add (0,3)=67 Succeeded, w=74\",\"Add (0,2)=99 Succeeded, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,99],[0,3,67],[1,3,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=7,(0,3)=67,(0,2)=99]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=7\",\"Find(0)=0, Find(3)=1, Add (0,3)=67 Succeeded, w=74\",\"Find(0)=1, Find(2)=2, Add (0,2)=99 Succeeded, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,99],[0,3,67],[1,3,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=7,(0,3)=67,(0,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=7\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=67 Succeeded, w=74\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=2, Add (0,2)=99 Succeeded, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,20],[0,4,58],[1,2,46],[1,3,38],[1,4,87],[3,4,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,4,58],[1,2,46],[1,3,38],[1,4,87],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,4,58],[1,2,46],[1,3,38],[1,4,87],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (1,2)\",\"Add (0,4)\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,4,58],[1,2,46],[1,3,38],[1,4,87],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=20, w=20\",\"Add (1,3)=38, w=58\",\"Add (1,2)=46, w=104\",\"Add (0,4)=58, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,4,58],[1,2,46],[1,3,38],[1,4,87],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=20 Succeeded, w=20\",\"Add (1,3)=38 Succeeded, w=58\",\"Add (1,2)=46 Succeeded, w=104\",\"Add (0,4)=58 Succeeded, w=162\",\"Add (1,4)=87 Failed, w=162\",\"Add (3,4)=97 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,4,58],[1,2,46],[1,3,38],[1,4,87],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=20,(1,3)=38,(1,2)=46,(0,4)=58,(1,4)=87,(3,4)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=20\",\"Find(1)=0, Find(3)=3, Add (1,3)=38 Succeeded, w=58\",\"Find(1)=0, Find(2)=2, Add (1,2)=46 Succeeded, w=104\",\"Find(0)=0, Find(4)=4, Add (0,4)=58 Succeeded, w=162\",\"Find(1)=0, Find(4)=0, Add (1,4)=87 Failed, w=162\",\"Find(3)=0, Find(4)=0, Add (3,4)=97 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,4,58],[1,2,46],[1,3,38],[1,4,87],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=20,(1,3)=38,(1,2)=46,(0,4)=58,(1,4)=87,(3,4)=97]\",\"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: 0, 4: 4}, Find(1)=0, Find(3)=3, Add (1,3)=38 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(2)=2, Add (1,2)=46 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=58 Succeeded, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=87 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=97 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,56],[0,2,57],[0,3,7],[0,4,23],[0,5,93],[0,6,54],[0,7,76],[1,2,25],[1,3,38],[1,4,88],[1,5,48],[1,6,67],[1,7,98],[2,3,96],[2,4,75],[2,5,21],[2,6,5],[2,7,70],[3,4,60],[3,5,86],[3,6,55],[3,7,53],[4,5,21],[4,6,86],[4,7,56],[5,6,97],[5,7,43],[6,7,30]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,57],[0,3,7],[0,4,23],[0,5,93],[0,6,54],[0,7,76],[1,2,25],[1,3,38],[1,4,88],[1,5,48],[1,6,67],[1,7,98],[2,3,96],[2,4,75],[2,5,21],[2,6,5],[2,7,70],[3,4,60],[3,5,86],[3,6,55],[3,7,53],[4,5,21],[4,6,86],[4,7,56],[5,6,97],[5,7,43],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,57],[0,3,7],[0,4,23],[0,5,93],[0,6,54],[0,7,76],[1,2,25],[1,3,38],[1,4,88],[1,5,48],[1,6,67],[1,7,98],[2,3,96],[2,4,75],[2,5,21],[2,6,5],[2,7,70],[3,4,60],[3,5,86],[3,6,55],[3,7,53],[4,5,21],[4,6,86],[4,7,56],[5,6,97],[5,7,43],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (0,3)\",\"Add (2,5)\",\"Add (4,5)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (6,7)\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,57],[0,3,7],[0,4,23],[0,5,93],[0,6,54],[0,7,76],[1,2,25],[1,3,38],[1,4,88],[1,5,48],[1,6,67],[1,7,98],[2,3,96],[2,4,75],[2,5,21],[2,6,5],[2,7,70],[3,4,60],[3,5,86],[3,6,55],[3,7,53],[4,5,21],[4,6,86],[4,7,56],[5,6,97],[5,7,43],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=5, w=5\",\"Add (0,3)=7, w=12\",\"Add (2,5)=21, w=33\",\"Add (4,5)=21, w=54\",\"Add (0,4)=23, w=77\",\"Add (1,2)=25, w=102\",\"Add (6,7)=30, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,57],[0,3,7],[0,4,23],[0,5,93],[0,6,54],[0,7,76],[1,2,25],[1,3,38],[1,4,88],[1,5,48],[1,6,67],[1,7,98],[2,3,96],[2,4,75],[2,5,21],[2,6,5],[2,7,70],[3,4,60],[3,5,86],[3,6,55],[3,7,53],[4,5,21],[4,6,86],[4,7,56],[5,6,97],[5,7,43],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=5 Succeeded, w=5\",\"Add (0,3)=7 Succeeded, w=12\",\"Add (2,5)=21 Succeeded, w=33\",\"Add (4,5)=21 Succeeded, w=54\",\"Add (0,4)=23 Succeeded, w=77\",\"Add (1,2)=25 Succeeded, w=102\",\"Add (6,7)=30 Succeeded, w=132\",\"Add (1,3)=38 Failed, w=132\",\"Add (5,7)=43 Failed, w=132\",\"Add (1,5)=48 Failed, w=132\",\"Add (3,7)=53 Failed, w=132\",\"Add (0,6)=54 Failed, w=132\",\"Add (3,6)=55 Failed, w=132\",\"Add (0,1)=56 Failed, w=132\",\"Add (4,7)=56 Failed, w=132\",\"Add (0,2)=57 Failed, w=132\",\"Add (3,4)=60 Failed, w=132\",\"Add (1,6)=67 Failed, w=132\",\"Add (2,7)=70 Failed, w=132\",\"Add (2,4)=75 Failed, w=132\",\"Add (0,7)=76 Failed, w=132\",\"Add (3,5)=86 Failed, w=132\",\"Add (4,6)=86 Failed, w=132\",\"Add (1,4)=88 Failed, w=132\",\"Add (0,5)=93 Failed, w=132\",\"Add (2,3)=96 Failed, w=132\",\"Add (5,6)=97 Failed, w=132\",\"Add (1,7)=98 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,57],[0,3,7],[0,4,23],[0,5,93],[0,6,54],[0,7,76],[1,2,25],[1,3,38],[1,4,88],[1,5,48],[1,6,67],[1,7,98],[2,3,96],[2,4,75],[2,5,21],[2,6,5],[2,7,70],[3,4,60],[3,5,86],[3,6,55],[3,7,53],[4,5,21],[4,6,86],[4,7,56],[5,6,97],[5,7,43],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=5,(0,3)=7,(2,5)=21,(4,5)=21,(0,4)=23,(1,2)=25,(6,7)=30,(1,3)=38,(5,7)=43,(1,5)=48,(3,7)=53,(0,6)=54,(3,6)=55,(0,1)=56,(4,7)=56,(0,2)=57,(3,4)=60,(1,6)=67,(2,7)=70,(2,4)=75,(0,7)=76,(3,5)=86,(4,6)=86,(1,4)=88,(0,5)=93,(2,3)=96,(5,6)=97,(1,7)=98]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=5 Succeeded, w=5\",\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=12\",\"Find(2)=2, Find(5)=5, Add (2,5)=21 Succeeded, w=33\",\"Find(4)=4, Find(5)=2, Add (4,5)=21 Succeeded, w=54\",\"Find(0)=0, Find(4)=2, Add (0,4)=23 Succeeded, w=77\",\"Find(1)=1, Find(2)=0, Add (1,2)=25 Succeeded, w=102\",\"Find(6)=0, Find(7)=7, Add (6,7)=30 Succeeded, w=132\",\"Find(1)=0, Find(3)=0, Add (1,3)=38 Failed, w=132\",\"Find(5)=0, Find(7)=0, Add (5,7)=43 Failed, w=132\",\"Find(1)=0, Find(5)=0, Add (1,5)=48 Failed, w=132\",\"Find(3)=0, Find(7)=0, Add (3,7)=53 Failed, w=132\",\"Find(0)=0, Find(6)=0, Add (0,6)=54 Failed, w=132\",\"Find(3)=0, Find(6)=0, Add (3,6)=55 Failed, w=132\",\"Find(0)=0, Find(1)=0, Add (0,1)=56 Failed, w=132\",\"Find(4)=0, Find(7)=0, Add (4,7)=56 Failed, w=132\",\"Find(0)=0, Find(2)=0, Add (0,2)=57 Failed, w=132\",\"Find(3)=0, Find(4)=0, Add (3,4)=60 Failed, w=132\",\"Find(1)=0, Find(6)=0, Add (1,6)=67 Failed, w=132\",\"Find(2)=0, Find(7)=0, Add (2,7)=70 Failed, w=132\",\"Find(2)=0, Find(4)=0, Add (2,4)=75 Failed, w=132\",\"Find(0)=0, Find(7)=0, Add (0,7)=76 Failed, w=132\",\"Find(3)=0, Find(5)=0, Add (3,5)=86 Failed, w=132\",\"Find(4)=0, Find(6)=0, Add (4,6)=86 Failed, w=132\",\"Find(1)=0, Find(4)=0, Add (1,4)=88 Failed, w=132\",\"Find(0)=0, Find(5)=0, Add (0,5)=93 Failed, w=132\",\"Find(2)=0, Find(3)=0, Add (2,3)=96 Failed, w=132\",\"Find(5)=0, Find(6)=0, Add (5,6)=97 Failed, w=132\",\"Find(1)=0, Find(7)=0, Add (1,7)=98 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,57],[0,3,7],[0,4,23],[0,5,93],[0,6,54],[0,7,76],[1,2,25],[1,3,38],[1,4,88],[1,5,48],[1,6,67],[1,7,98],[2,3,96],[2,4,75],[2,5,21],[2,6,5],[2,7,70],[3,4,60],[3,5,86],[3,6,55],[3,7,53],[4,5,21],[4,6,86],[4,7,56],[5,6,97],[5,7,43],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=5,(0,3)=7,(2,5)=21,(4,5)=21,(0,4)=23,(1,2)=25,(6,7)=30,(1,3)=38,(5,7)=43,(1,5)=48,(3,7)=53,(0,6)=54,(3,6)=55,(0,1)=56,(4,7)=56,(0,2)=57,(3,4)=60,(1,6)=67,(2,7)=70,(2,4)=75,(0,7)=76,(3,5)=86,(4,6)=86,(1,4)=88,(0,5)=93,(2,3)=96,(5,6)=97,(1,7)=98]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 2, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 2, 6: 2, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=21 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 7}, Find(4)=4, Find(5)=2, Add (4,5)=21 Succeeded, w=54\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 2, 5: 2, 6: 2, 7: 7}, Find(0)=0, Find(4)=2, Add (0,4)=23 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 2, 6: 2, 7: 7}, Find(1)=1, Find(2)=0, Add (1,2)=25 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 2, 6: 0, 7: 0}, Find(6)=0, Find(7)=7, Add (6,7)=30 Succeeded, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 2, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=38 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=43 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=48 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=53 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=54 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=55 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=56 Failed, w=132\",\"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)=56 Failed, w=132\",\"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)=57 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=60 Failed, w=132\",\"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)=67 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=70 Failed, w=132\",\"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)=75 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=76 Failed, w=132\",\"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)=86 Failed, w=132\",\"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)=86 Failed, w=132\",\"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)=88 Failed, w=132\",\"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)=93 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=96 Failed, w=132\",\"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)=97 Failed, w=132\",\"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)=98 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,52],[0,3,39],[0,4,46],[0,6,93],[1,2,0],[1,3,39],[1,4,85],[1,5,69],[1,6,84],[1,7,10],[2,3,24],[2,4,95],[2,5,43],[2,6,54],[2,7,43],[3,4,75],[3,5,52],[3,6,0],[3,7,93],[4,5,82],[4,6,15],[4,7,3],[5,6,97],[5,7,95],[6,7,50]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,52],[0,3,39],[0,4,46],[0,6,93],[1,2,0],[1,3,39],[1,4,85],[1,5,69],[1,6,84],[1,7,10],[2,3,24],[2,4,95],[2,5,43],[2,6,54],[2,7,43],[3,4,75],[3,5,52],[3,6,0],[3,7,93],[4,5,82],[4,6,15],[4,7,3],[5,6,97],[5,7,95],[6,7,50]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,52],[0,3,39],[0,4,46],[0,6,93],[1,2,0],[1,3,39],[1,4,85],[1,5,69],[1,6,84],[1,7,10],[2,3,24],[2,4,95],[2,5,43],[2,6,54],[2,7,43],[3,4,75],[3,5,52],[3,6,0],[3,7,93],[4,5,82],[4,6,15],[4,7,3],[5,6,97],[5,7,95],[6,7,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,6)\",\"Add (4,7)\",\"Add (1,7)\",\"Add (4,6)\",\"Add (0,3)\",\"Add (2,5)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,52],[0,3,39],[0,4,46],[0,6,93],[1,2,0],[1,3,39],[1,4,85],[1,5,69],[1,6,84],[1,7,10],[2,3,24],[2,4,95],[2,5,43],[2,6,54],[2,7,43],[3,4,75],[3,5,52],[3,6,0],[3,7,93],[4,5,82],[4,6,15],[4,7,3],[5,6,97],[5,7,95],[6,7,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (3,6)=0, w=0\",\"Add (4,7)=3, w=3\",\"Add (1,7)=10, w=13\",\"Add (4,6)=15, w=28\",\"Add (0,3)=39, w=67\",\"Add (2,5)=43, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,52],[0,3,39],[0,4,46],[0,6,93],[1,2,0],[1,3,39],[1,4,85],[1,5,69],[1,6,84],[1,7,10],[2,3,24],[2,4,95],[2,5,43],[2,6,54],[2,7,43],[3,4,75],[3,5,52],[3,6,0],[3,7,93],[4,5,82],[4,6,15],[4,7,3],[5,6,97],[5,7,95],[6,7,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (3,6)=0 Succeeded, w=0\",\"Add (4,7)=3 Succeeded, w=3\",\"Add (1,7)=10 Succeeded, w=13\",\"Add (4,6)=15 Succeeded, w=28\",\"Add (2,3)=24 Failed, w=28\",\"Add (0,3)=39 Succeeded, w=67\",\"Add (1,3)=39 Failed, w=67\",\"Add (2,5)=43 Succeeded, w=110\",\"Add (2,7)=43 Failed, w=110\",\"Add (0,4)=46 Failed, w=110\",\"Add (6,7)=50 Failed, w=110\",\"Add (0,2)=52 Failed, w=110\",\"Add (3,5)=52 Failed, w=110\",\"Add (2,6)=54 Failed, w=110\",\"Add (1,5)=69 Failed, w=110\",\"Add (3,4)=75 Failed, w=110\",\"Add (4,5)=82 Failed, w=110\",\"Add (1,6)=84 Failed, w=110\",\"Add (1,4)=85 Failed, w=110\",\"Add (0,6)=93 Failed, w=110\",\"Add (3,7)=93 Failed, w=110\",\"Add (2,4)=95 Failed, w=110\",\"Add (5,7)=95 Failed, w=110\",\"Add (5,6)=97 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,52],[0,3,39],[0,4,46],[0,6,93],[1,2,0],[1,3,39],[1,4,85],[1,5,69],[1,6,84],[1,7,10],[2,3,24],[2,4,95],[2,5,43],[2,6,54],[2,7,43],[3,4,75],[3,5,52],[3,6,0],[3,7,93],[4,5,82],[4,6,15],[4,7,3],[5,6,97],[5,7,95],[6,7,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(3,6)=0,(4,7)=3,(1,7)=10,(4,6)=15,(2,3)=24,(0,3)=39,(1,3)=39,(2,5)=43,(2,7)=43,(0,4)=46,(6,7)=50,(0,2)=52,(3,5)=52,(2,6)=54,(1,5)=69,(3,4)=75,(4,5)=82,(1,6)=84,(1,4)=85,(0,6)=93,(3,7)=93,(2,4)=95,(5,7)=95,(5,6)=97]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(3)=3, Find(6)=6, Add (3,6)=0 Succeeded, w=0\",\"Find(4)=4, Find(7)=7, Add (4,7)=3 Succeeded, w=3\",\"Find(1)=1, Find(7)=4, Add (1,7)=10 Succeeded, w=13\",\"Find(4)=1, Find(6)=3, Add (4,6)=15 Succeeded, w=28\",\"Find(2)=1, Find(3)=1, Add (2,3)=24 Failed, w=28\",\"Find(0)=0, Find(3)=1, Add (0,3)=39 Succeeded, w=67\",\"Find(1)=1, Find(3)=1, Add (1,3)=39 Failed, w=67\",\"Find(2)=1, Find(5)=5, Add (2,5)=43 Succeeded, w=110\",\"Find(2)=1, Find(7)=1, Add (2,7)=43 Failed, w=110\",\"Find(0)=1, Find(4)=1, Add (0,4)=46 Failed, w=110\",\"Find(6)=1, Find(7)=1, Add (6,7)=50 Failed, w=110\",\"Find(0)=1, Find(2)=1, Add (0,2)=52 Failed, w=110\",\"Find(3)=1, Find(5)=1, Add (3,5)=52 Failed, w=110\",\"Find(2)=1, Find(6)=1, Add (2,6)=54 Failed, w=110\",\"Find(1)=1, Find(5)=1, Add (1,5)=69 Failed, w=110\",\"Find(3)=1, Find(4)=1, Add (3,4)=75 Failed, w=110\",\"Find(4)=1, Find(5)=1, Add (4,5)=82 Failed, w=110\",\"Find(1)=1, Find(6)=1, Add (1,6)=84 Failed, w=110\",\"Find(1)=1, Find(4)=1, Add (1,4)=85 Failed, w=110\",\"Find(0)=1, Find(6)=1, Add (0,6)=93 Failed, w=110\",\"Find(3)=1, Find(7)=1, Add (3,7)=93 Failed, w=110\",\"Find(2)=1, Find(4)=1, Add (2,4)=95 Failed, w=110\",\"Find(5)=1, Find(7)=1, Add (5,7)=95 Failed, w=110\",\"Find(5)=1, Find(6)=1, Add (5,6)=97 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,52],[0,3,39],[0,4,46],[0,6,93],[1,2,0],[1,3,39],[1,4,85],[1,5,69],[1,6,84],[1,7,10],[2,3,24],[2,4,95],[2,5,43],[2,6,54],[2,7,43],[3,4,75],[3,5,52],[3,6,0],[3,7,93],[4,5,82],[4,6,15],[4,7,3],[5,6,97],[5,7,95],[6,7,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(3,6)=0,(4,7)=3,(1,7)=10,(4,6)=15,(2,3)=24,(0,3)=39,(1,3)=39,(2,5)=43,(2,7)=43,(0,4)=46,(6,7)=50,(0,2)=52,(3,5)=52,(2,6)=54,(1,5)=69,(3,4)=75,(4,5)=82,(1,6)=84,(1,4)=85,(0,6)=93,(3,7)=93,(2,4)=95,(5,7)=95,(5,6)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 3, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 3, 7: 4}, Find(1)=1, Find(7)=4, Add (1,7)=10 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 3, 7: 4}, Find(4)=1, Find(6)=3, Add (4,6)=15 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 3, 7: 4}, Find(2)=1, Find(3)=1, Add (2,3)=24 Failed, w=28\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 3, 7: 4}, Find(0)=0, Find(3)=1, Add (0,3)=39 Succeeded, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 3, 7: 4}, Find(1)=1, Find(3)=1, Add (1,3)=39 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 4}, Find(2)=1, Find(5)=5, Add (2,5)=43 Succeeded, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=43 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=46 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=50 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=52 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=52 Failed, w=110\",\"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)=54 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=69 Failed, w=110\",\"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)=75 Failed, w=110\",\"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)=82 Failed, w=110\",\"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)=84 Failed, w=110\",\"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)=85 Failed, w=110\",\"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)=93 Failed, w=110\",\"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)=93 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=95 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=95 Failed, w=110\",\"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)=97 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,18],[0,2,2],[0,3,81],[0,4,63],[1,2,33],[1,3,30],[1,4,45],[2,4,69],[3,4,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,2],[0,3,81],[0,4,63],[1,2,33],[1,3,30],[1,4,45],[2,4,69],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,2],[0,3,81],[0,4,63],[1,2,33],[1,3,30],[1,4,45],[2,4,69],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,2],[0,3,81],[0,4,63],[1,2,33],[1,3,30],[1,4,45],[2,4,69],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2, w=2\",\"Add (3,4)=2, w=4\",\"Add (0,1)=18, w=22\",\"Add (1,3)=30, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,2],[0,3,81],[0,4,63],[1,2,33],[1,3,30],[1,4,45],[2,4,69],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2 Succeeded, w=2\",\"Add (3,4)=2 Succeeded, w=4\",\"Add (0,1)=18 Succeeded, w=22\",\"Add (1,3)=30 Succeeded, w=52\",\"Add (1,2)=33 Failed, w=52\",\"Add (1,4)=45 Failed, w=52\",\"Add (0,4)=63 Failed, w=52\",\"Add (2,4)=69 Failed, w=52\",\"Add (0,3)=81 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,2],[0,3,81],[0,4,63],[1,2,33],[1,3,30],[1,4,45],[2,4,69],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(3,4)=2,(0,1)=18,(1,3)=30,(1,2)=33,(1,4)=45,(0,4)=63,(2,4)=69,(0,3)=81]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=4\",\"Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=22\",\"Find(1)=0, Find(3)=3, Add (1,3)=30 Succeeded, w=52\",\"Find(1)=0, Find(2)=0, Add (1,2)=33 Failed, w=52\",\"Find(1)=0, Find(4)=0, Add (1,4)=45 Failed, w=52\",\"Find(0)=0, Find(4)=0, Add (0,4)=63 Failed, w=52\",\"Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=52\",\"Find(0)=0, Find(3)=0, Add (0,3)=81 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,2],[0,3,81],[0,4,63],[1,2,33],[1,3,30],[1,4,45],[2,4,69],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(3,4)=2,(0,1)=18,(1,3)=30,(1,2)=33,(1,4)=45,(0,4)=63,(2,4)=69,(0,3)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3}, Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=0, Find(3)=3, Add (1,3)=30 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=0, Find(2)=0, Add (1,2)=33 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=45 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=63 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=81 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,2],[0,2,15],[0,3,4],[0,4,61],[1,2,6],[1,3,70],[2,3,79],[2,4,63]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,15],[0,3,4],[0,4,61],[1,2,6],[1,3,70],[2,3,79],[2,4,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,15],[0,3,4],[0,4,61],[1,2,6],[1,3,70],[2,3,79],[2,4,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (0,4)\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,15],[0,3,4],[0,4,61],[1,2,6],[1,3,70],[2,3,79],[2,4,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2, w=2\",\"Add (0,3)=4, w=6\",\"Add (1,2)=6, w=12\",\"Add (0,4)=61, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,15],[0,3,4],[0,4,61],[1,2,6],[1,3,70],[2,3,79],[2,4,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2 Succeeded, w=2\",\"Add (0,3)=4 Succeeded, w=6\",\"Add (1,2)=6 Succeeded, w=12\",\"Add (0,2)=15 Failed, w=12\",\"Add (0,4)=61 Succeeded, w=73\",\"Add (2,4)=63 Failed, w=73\",\"Add (1,3)=70 Failed, w=73\",\"Add (2,3)=79 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,15],[0,3,4],[0,4,61],[1,2,6],[1,3,70],[2,3,79],[2,4,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(0,3)=4,(1,2)=6,(0,2)=15,(0,4)=61,(2,4)=63,(1,3)=70,(2,3)=79]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=6\",\"Find(1)=0, Find(2)=2, Add (1,2)=6 Succeeded, w=12\",\"Find(0)=0, Find(2)=0, Add (0,2)=15 Failed, w=12\",\"Find(0)=0, Find(4)=4, Add (0,4)=61 Succeeded, w=73\",\"Find(2)=0, Find(4)=0, Add (2,4)=63 Failed, w=73\",\"Find(1)=0, Find(3)=0, Add (1,3)=70 Failed, w=73\",\"Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,15],[0,3,4],[0,4,61],[1,2,6],[1,3,70],[2,3,79],[2,4,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(0,3)=4,(1,2)=6,(0,2)=15,(0,4)=61,(2,4)=63,(1,3)=70,(2,3)=79]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(2)=2, Add (1,2)=6 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(2)=0, Add (0,2)=15 Failed, w=12\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=61 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=63 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=70 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,61],[0,2,32],[0,3,69],[0,4,80],[0,5,81],[1,2,33],[1,3,93],[1,4,92],[1,5,37],[1,6,41],[2,3,39],[2,4,67],[2,5,17],[2,6,83],[3,4,3],[3,5,57],[3,6,60],[4,5,51],[4,6,53],[5,6,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,32],[0,3,69],[0,4,80],[0,5,81],[1,2,33],[1,3,93],[1,4,92],[1,5,37],[1,6,41],[2,3,39],[2,4,67],[2,5,17],[2,6,83],[3,4,3],[3,5,57],[3,6,60],[4,5,51],[4,6,53],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,32],[0,3,69],[0,4,80],[0,5,81],[1,2,33],[1,3,93],[1,4,92],[1,5,37],[1,6,41],[2,3,39],[2,4,67],[2,5,17],[2,6,83],[3,4,3],[3,5,57],[3,6,60],[4,5,51],[4,6,53],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,5)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (5,6)\",\"Add (2,3)\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,32],[0,3,69],[0,4,80],[0,5,81],[1,2,33],[1,3,93],[1,4,92],[1,5,37],[1,6,41],[2,3,39],[2,4,67],[2,5,17],[2,6,83],[3,4,3],[3,5,57],[3,6,60],[4,5,51],[4,6,53],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3, w=3\",\"Add (2,5)=17, w=20\",\"Add (0,2)=32, w=52\",\"Add (1,2)=33, w=85\",\"Add (5,6)=38, w=123\",\"Add (2,3)=39, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,32],[0,3,69],[0,4,80],[0,5,81],[1,2,33],[1,3,93],[1,4,92],[1,5,37],[1,6,41],[2,3,39],[2,4,67],[2,5,17],[2,6,83],[3,4,3],[3,5,57],[3,6,60],[4,5,51],[4,6,53],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3 Succeeded, w=3\",\"Add (2,5)=17 Succeeded, w=20\",\"Add (0,2)=32 Succeeded, w=52\",\"Add (1,2)=33 Succeeded, w=85\",\"Add (1,5)=37 Failed, w=85\",\"Add (5,6)=38 Succeeded, w=123\",\"Add (2,3)=39 Succeeded, w=162\",\"Add (1,6)=41 Failed, w=162\",\"Add (4,5)=51 Failed, w=162\",\"Add (4,6)=53 Failed, w=162\",\"Add (3,5)=57 Failed, w=162\",\"Add (3,6)=60 Failed, w=162\",\"Add (0,1)=61 Failed, w=162\",\"Add (2,4)=67 Failed, w=162\",\"Add (0,3)=69 Failed, w=162\",\"Add (0,4)=80 Failed, w=162\",\"Add (0,5)=81 Failed, w=162\",\"Add (2,6)=83 Failed, w=162\",\"Add (1,4)=92 Failed, w=162\",\"Add (1,3)=93 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,32],[0,3,69],[0,4,80],[0,5,81],[1,2,33],[1,3,93],[1,4,92],[1,5,37],[1,6,41],[2,3,39],[2,4,67],[2,5,17],[2,6,83],[3,4,3],[3,5,57],[3,6,60],[4,5,51],[4,6,53],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(2,5)=17,(0,2)=32,(1,2)=33,(1,5)=37,(5,6)=38,(2,3)=39,(1,6)=41,(4,5)=51,(4,6)=53,(3,5)=57,(3,6)=60,(0,1)=61,(2,4)=67,(0,3)=69,(0,4)=80,(0,5)=81,(2,6)=83,(1,4)=92,(1,3)=93]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Find(2)=2, Find(5)=5, Add (2,5)=17 Succeeded, w=20\",\"Find(0)=0, Find(2)=2, Add (0,2)=32 Succeeded, w=52\",\"Find(1)=1, Find(2)=2, Add (1,2)=33 Succeeded, w=85\",\"Find(1)=2, Find(5)=2, Add (1,5)=37 Failed, w=85\",\"Find(5)=2, Find(6)=6, Add (5,6)=38 Succeeded, w=123\",\"Find(2)=2, Find(3)=3, Add (2,3)=39 Succeeded, w=162\",\"Find(1)=2, Find(6)=2, Add (1,6)=41 Failed, w=162\",\"Find(4)=2, Find(5)=2, Add (4,5)=51 Failed, w=162\",\"Find(4)=2, Find(6)=2, Add (4,6)=53 Failed, w=162\",\"Find(3)=2, Find(5)=2, Add (3,5)=57 Failed, w=162\",\"Find(3)=2, Find(6)=2, Add (3,6)=60 Failed, w=162\",\"Find(0)=2, Find(1)=2, Add (0,1)=61 Failed, w=162\",\"Find(2)=2, Find(4)=2, Add (2,4)=67 Failed, w=162\",\"Find(0)=2, Find(3)=2, Add (0,3)=69 Failed, w=162\",\"Find(0)=2, Find(4)=2, Add (0,4)=80 Failed, w=162\",\"Find(0)=2, Find(5)=2, Add (0,5)=81 Failed, w=162\",\"Find(2)=2, Find(6)=2, Add (2,6)=83 Failed, w=162\",\"Find(1)=2, Find(4)=2, Add (1,4)=92 Failed, w=162\",\"Find(1)=2, Find(3)=2, Add (1,3)=93 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,32],[0,3,69],[0,4,80],[0,5,81],[1,2,33],[1,3,93],[1,4,92],[1,5,37],[1,6,41],[2,3,39],[2,4,67],[2,5,17],[2,6,83],[3,4,3],[3,5,57],[3,6,60],[4,5,51],[4,6,53],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(2,5)=17,(0,2)=32,(1,2)=33,(1,5)=37,(5,6)=38,(2,3)=39,(1,6)=41,(4,5)=51,(4,6)=53,(3,5)=57,(3,6)=60,(0,1)=61,(2,4)=67,(0,3)=69,(0,4)=80,(0,5)=81,(2,6)=83,(1,4)=92,(1,3)=93]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=17 Succeeded, w=20\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=32 Succeeded, w=52\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 3, 5: 2, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=33 Succeeded, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 3, 5: 2, 6: 6}, Find(1)=2, Find(5)=2, Add (1,5)=37 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 3, 5: 2, 6: 2}, Find(5)=2, Find(6)=6, Add (5,6)=38 Succeeded, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2}, Find(2)=2, Find(3)=3, Add (2,3)=39 Succeeded, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=41 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=51 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=53 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=57 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=60 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=61 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=67 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=69 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=80 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=81 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=83 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=92 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=93 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,72],[0,2,4],[0,3,72],[0,4,36],[1,2,35],[1,5,12],[2,3,0],[2,4,91],[3,4,8],[3,5,96],[4,5,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,4],[0,3,72],[0,4,36],[1,2,35],[1,5,12],[2,3,0],[2,4,91],[3,4,8],[3,5,96],[4,5,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,4],[0,3,72],[0,4,36],[1,2,35],[1,5,12],[2,3,0],[2,4,91],[3,4,8],[3,5,96],[4,5,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (1,5)\",\"Add (4,5)\"],\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,4],[0,3,72],[0,4,36],[1,2,35],[1,5,12],[2,3,0],[2,4,91],[3,4,8],[3,5,96],[4,5,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (0,2)=4, w=4\",\"Add (3,4)=8, w=12\",\"Add (1,5)=12, w=24\",\"Add (4,5)=22, w=46\"],\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,4],[0,3,72],[0,4,36],[1,2,35],[1,5,12],[2,3,0],[2,4,91],[3,4,8],[3,5,96],[4,5,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (0,2)=4 Succeeded, w=4\",\"Add (3,4)=8 Succeeded, w=12\",\"Add (1,5)=12 Succeeded, w=24\",\"Add (4,5)=22 Succeeded, w=46\",\"Add (1,2)=35 Failed, w=46\",\"Add (0,4)=36 Failed, w=46\",\"Add (0,1)=72 Failed, w=46\",\"Add (0,3)=72 Failed, w=46\",\"Add (2,4)=91 Failed, w=46\",\"Add (3,5)=96 Failed, w=46\"],\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,4],[0,3,72],[0,4,36],[1,2,35],[1,5,12],[2,3,0],[2,4,91],[3,4,8],[3,5,96],[4,5,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(0,2)=4,(3,4)=8,(1,5)=12,(4,5)=22,(1,2)=35,(0,4)=36,(0,1)=72,(0,3)=72,(2,4)=91,(3,5)=96]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Find(3)=2, Find(4)=4, Add (3,4)=8 Succeeded, w=12\",\"Find(1)=1, Find(5)=5, Add (1,5)=12 Succeeded, w=24\",\"Find(4)=2, Find(5)=1, Add (4,5)=22 Succeeded, w=46\",\"Find(1)=2, Find(2)=2, Add (1,2)=35 Failed, w=46\",\"Find(0)=2, Find(4)=2, Add (0,4)=36 Failed, w=46\",\"Find(0)=2, Find(1)=2, Add (0,1)=72 Failed, w=46\",\"Find(0)=2, Find(3)=2, Add (0,3)=72 Failed, w=46\",\"Find(2)=2, Find(4)=2, Add (2,4)=91 Failed, w=46\",\"Find(3)=2, Find(5)=2, Add (3,5)=96 Failed, w=46\"],\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,4],[0,3,72],[0,4,36],[1,2,35],[1,5,12],[2,3,0],[2,4,91],[3,4,8],[3,5,96],[4,5,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(0,2)=4,(3,4)=8,(1,5)=12,(4,5)=22,(1,2)=35,(0,4)=36,(0,1)=72,(0,3)=72,(2,4)=91,(3,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5}, Find(3)=2, Find(4)=4, Add (3,4)=8 Succeeded, w=12\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=12 Succeeded, w=24\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(4)=2, Find(5)=1, Add (4,5)=22 Succeeded, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(1)=2, Find(2)=2, Add (1,2)=35 Failed, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(0)=2, Find(4)=2, Add (0,4)=36 Failed, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(0)=2, Find(1)=2, Add (0,1)=72 Failed, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(0)=2, Find(3)=2, Add (0,3)=72 Failed, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(2)=2, Find(4)=2, Add (2,4)=91 Failed, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=96 Failed, w=46\"],\"Answer\":46}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,87],[0,3,12],[0,4,39],[1,3,52],[1,4,95],[2,3,33],[2,4,34],[3,4,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,87],[0,3,12],[0,4,39],[1,3,52],[1,4,95],[2,3,33],[2,4,34],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,87],[0,3,12],[0,4,39],[1,3,52],[1,4,95],[2,3,33],[2,4,34],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (3,4)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,87],[0,3,12],[0,4,39],[1,3,52],[1,4,95],[2,3,33],[2,4,34],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=12, w=12\",\"Add (3,4)=27, w=39\",\"Add (2,3)=33, w=72\",\"Add (1,3)=52, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,87],[0,3,12],[0,4,39],[1,3,52],[1,4,95],[2,3,33],[2,4,34],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=12 Succeeded, w=12\",\"Add (3,4)=27 Succeeded, w=39\",\"Add (2,3)=33 Succeeded, w=72\",\"Add (2,4)=34 Failed, w=72\",\"Add (0,4)=39 Failed, w=72\",\"Add (1,3)=52 Succeeded, w=124\",\"Add (0,2)=87 Failed, w=124\",\"Add (1,4)=95 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,87],[0,3,12],[0,4,39],[1,3,52],[1,4,95],[2,3,33],[2,4,34],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=12,(3,4)=27,(2,3)=33,(2,4)=34,(0,4)=39,(1,3)=52,(0,2)=87,(1,4)=95]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=12\",\"Find(3)=0, Find(4)=4, Add (3,4)=27 Succeeded, w=39\",\"Find(2)=2, Find(3)=0, Add (2,3)=33 Succeeded, w=72\",\"Find(2)=0, Find(4)=0, Add (2,4)=34 Failed, w=72\",\"Find(0)=0, Find(4)=0, Add (0,4)=39 Failed, w=72\",\"Find(1)=1, Find(3)=0, Add (1,3)=52 Succeeded, w=124\",\"Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=124\",\"Find(1)=0, Find(4)=0, Add (1,4)=95 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,87],[0,3,12],[0,4,39],[1,3,52],[1,4,95],[2,3,33],[2,4,34],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=12,(3,4)=27,(2,3)=33,(2,4)=34,(0,4)=39,(1,3)=52,(0,2)=87,(1,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=27 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(3)=0, Add (2,3)=33 Succeeded, w=72\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=34 Failed, w=72\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=39 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(3)=0, Add (1,3)=52 Succeeded, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=95 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,74],[0,2,49],[0,3,77],[0,4,88],[0,5,93],[0,6,60],[0,7,7],[1,2,16],[1,4,72],[1,5,73],[1,6,81],[1,7,90],[2,3,62],[2,5,16],[2,6,24],[2,7,47],[3,6,0],[3,7,74],[4,5,13],[4,6,60],[4,7,56],[5,7,8],[6,7,20]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,49],[0,3,77],[0,4,88],[0,5,93],[0,6,60],[0,7,7],[1,2,16],[1,4,72],[1,5,73],[1,6,81],[1,7,90],[2,3,62],[2,5,16],[2,6,24],[2,7,47],[3,6,0],[3,7,74],[4,5,13],[4,6,60],[4,7,56],[5,7,8],[6,7,20]]}",
"role": "user"
},
{
"content": "{\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,49],[0,3,77],[0,4,88],[0,5,93],[0,6,60],[0,7,7],[1,2,16],[1,4,72],[1,5,73],[1,6,81],[1,7,90],[2,3,62],[2,5,16],[2,6,24],[2,7,47],[3,6,0],[3,7,74],[4,5,13],[4,6,60],[4,7,56],[5,7,8],[6,7,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (0,7)\",\"Add (5,7)\",\"Add (4,5)\",\"Add (1,2)\",\"Add (2,5)\",\"Add (6,7)\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,49],[0,3,77],[0,4,88],[0,5,93],[0,6,60],[0,7,7],[1,2,16],[1,4,72],[1,5,73],[1,6,81],[1,7,90],[2,3,62],[2,5,16],[2,6,24],[2,7,47],[3,6,0],[3,7,74],[4,5,13],[4,6,60],[4,7,56],[5,7,8],[6,7,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=0, w=0\",\"Add (0,7)=7, w=7\",\"Add (5,7)=8, w=15\",\"Add (4,5)=13, w=28\",\"Add (1,2)=16, w=44\",\"Add (2,5)=16, w=60\",\"Add (6,7)=20, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,49],[0,3,77],[0,4,88],[0,5,93],[0,6,60],[0,7,7],[1,2,16],[1,4,72],[1,5,73],[1,6,81],[1,7,90],[2,3,62],[2,5,16],[2,6,24],[2,7,47],[3,6,0],[3,7,74],[4,5,13],[4,6,60],[4,7,56],[5,7,8],[6,7,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=0 Succeeded, w=0\",\"Add (0,7)=7 Succeeded, w=7\",\"Add (5,7)=8 Succeeded, w=15\",\"Add (4,5)=13 Succeeded, w=28\",\"Add (1,2)=16 Succeeded, w=44\",\"Add (2,5)=16 Succeeded, w=60\",\"Add (6,7)=20 Succeeded, w=80\",\"Add (2,6)=24 Failed, w=80\",\"Add (2,7)=47 Failed, w=80\",\"Add (0,2)=49 Failed, w=80\",\"Add (4,7)=56 Failed, w=80\",\"Add (0,6)=60 Failed, w=80\",\"Add (4,6)=60 Failed, w=80\",\"Add (2,3)=62 Failed, w=80\",\"Add (1,4)=72 Failed, w=80\",\"Add (1,5)=73 Failed, w=80\",\"Add (0,1)=74 Failed, w=80\",\"Add (3,7)=74 Failed, w=80\",\"Add (0,3)=77 Failed, w=80\",\"Add (1,6)=81 Failed, w=80\",\"Add (0,4)=88 Failed, w=80\",\"Add (1,7)=90 Failed, w=80\",\"Add (0,5)=93 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,49],[0,3,77],[0,4,88],[0,5,93],[0,6,60],[0,7,7],[1,2,16],[1,4,72],[1,5,73],[1,6,81],[1,7,90],[2,3,62],[2,5,16],[2,6,24],[2,7,47],[3,6,0],[3,7,74],[4,5,13],[4,6,60],[4,7,56],[5,7,8],[6,7,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=0,(0,7)=7,(5,7)=8,(4,5)=13,(1,2)=16,(2,5)=16,(6,7)=20,(2,6)=24,(2,7)=47,(0,2)=49,(4,7)=56,(0,6)=60,(4,6)=60,(2,3)=62,(1,4)=72,(1,5)=73,(0,1)=74,(3,7)=74,(0,3)=77,(1,6)=81,(0,4)=88,(1,7)=90,(0,5)=93]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=0 Succeeded, w=0\",\"Find(0)=0, Find(7)=7, Add (0,7)=7 Succeeded, w=7\",\"Find(5)=5, Find(7)=0, Add (5,7)=8 Succeeded, w=15\",\"Find(4)=4, Find(5)=0, Add (4,5)=13 Succeeded, w=28\",\"Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=44\",\"Find(2)=1, Find(5)=0, Add (2,5)=16 Succeeded, w=60\",\"Find(6)=3, Find(7)=1, Add (6,7)=20 Succeeded, w=80\",\"Find(2)=1, Find(6)=1, Add (2,6)=24 Failed, w=80\",\"Find(2)=1, Find(7)=1, Add (2,7)=47 Failed, w=80\",\"Find(0)=1, Find(2)=1, Add (0,2)=49 Failed, w=80\",\"Find(4)=1, Find(7)=1, Add (4,7)=56 Failed, w=80\",\"Find(0)=1, Find(6)=1, Add (0,6)=60 Failed, w=80\",\"Find(4)=1, Find(6)=1, Add (4,6)=60 Failed, w=80\",\"Find(2)=1, Find(3)=1, Add (2,3)=62 Failed, w=80\",\"Find(1)=1, Find(4)=1, Add (1,4)=72 Failed, w=80\",\"Find(1)=1, Find(5)=1, Add (1,5)=73 Failed, w=80\",\"Find(0)=1, Find(1)=1, Add (0,1)=74 Failed, w=80\",\"Find(3)=1, Find(7)=1, Add (3,7)=74 Failed, w=80\",\"Find(0)=1, Find(3)=1, Add (0,3)=77 Failed, w=80\",\"Find(1)=1, Find(6)=1, Add (1,6)=81 Failed, w=80\",\"Find(0)=1, Find(4)=1, Add (0,4)=88 Failed, w=80\",\"Find(1)=1, Find(7)=1, Add (1,7)=90 Failed, w=80\",\"Find(0)=1, Find(5)=1, Add (0,5)=93 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,49],[0,3,77],[0,4,88],[0,5,93],[0,6,60],[0,7,7],[1,2,16],[1,4,72],[1,5,73],[1,6,81],[1,7,90],[2,3,62],[2,5,16],[2,6,24],[2,7,47],[3,6,0],[3,7,74],[4,5,13],[4,6,60],[4,7,56],[5,7,8],[6,7,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=0,(0,7)=7,(5,7)=8,(4,5)=13,(1,2)=16,(2,5)=16,(6,7)=20,(2,6)=24,(2,7)=47,(0,2)=49,(4,7)=56,(0,6)=60,(4,6)=60,(2,3)=62,(1,4)=72,(1,5)=73,(0,1)=74,(3,7)=74,(0,3)=77,(1,6)=81,(0,4)=88,(1,7)=90,(0,5)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 3, 7: 0}, Find(5)=5, Find(7)=0, Add (5,7)=8 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 3, 7: 0}, Find(4)=4, Find(5)=0, Add (4,5)=13 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 0, 6: 3, 7: 0}, Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=44\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 0, 6: 3, 7: 0}, Find(2)=1, Find(5)=0, Add (2,5)=16 Succeeded, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 0, 6: 3, 7: 1}, Find(6)=3, Find(7)=1, Add (6,7)=20 Succeeded, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 0, 6: 1, 7: 1}, Find(2)=1, Find(6)=1, Add (2,6)=24 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 0, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=47 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 0, 6: 1, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=49 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=56 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=60 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=60 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=62 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=72 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=73 Failed, w=80\",\"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)=74 Failed, w=80\",\"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)=74 Failed, w=80\",\"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)=77 Failed, w=80\",\"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)=81 Failed, w=80\",\"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)=88 Failed, w=80\",\"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)=90 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=93 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,63],[0,4,49],[1,4,94],[2,3,16],[2,4,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,63],[0,4,49],[1,4,94],[2,3,16],[2,4,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":222}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,63],[0,4,49],[1,4,94],[2,3,16],[2,4,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (1,4)\"],\"Answer\":222}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,63],[0,4,49],[1,4,94],[2,3,16],[2,4,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=16, w=16\",\"Add (0,4)=49, w=65\",\"Add (0,2)=63, w=128\",\"Add (1,4)=94, w=222\"],\"Answer\":222}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,63],[0,4,49],[1,4,94],[2,3,16],[2,4,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=16 Succeeded, w=16\",\"Add (0,4)=49 Succeeded, w=65\",\"Add (0,2)=63 Succeeded, w=128\",\"Add (2,4)=90 Failed, w=128\",\"Add (1,4)=94 Succeeded, w=222\"],\"Answer\":222}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,63],[0,4,49],[1,4,94],[2,3,16],[2,4,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=16,(0,4)=49,(0,2)=63,(2,4)=90,(1,4)=94]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=16\",\"Find(0)=0, Find(4)=4, Add (0,4)=49 Succeeded, w=65\",\"Find(0)=0, Find(2)=2, Add (0,2)=63 Succeeded, w=128\",\"Find(2)=0, Find(4)=0, Add (2,4)=90 Failed, w=128\",\"Find(1)=1, Find(4)=0, Add (1,4)=94 Succeeded, w=222\"],\"Answer\":222}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,63],[0,4,49],[1,4,94],[2,3,16],[2,4,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=16,(0,4)=49,(0,2)=63,(2,4)=90,(1,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=49 Succeeded, w=65\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=63 Succeeded, w=128\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=90 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=94 Succeeded, w=222\"],\"Answer\":222}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,73],[0,2,56],[0,3,5],[0,4,61],[0,5,95],[0,6,36],[0,7,40],[1,2,11],[1,3,8],[1,4,50],[1,5,71],[1,6,87],[1,7,26],[2,3,11],[2,4,82],[2,5,54],[2,6,91],[2,7,57],[3,4,100],[3,5,90],[3,6,56],[3,7,93],[4,5,9],[4,7,27],[5,6,14],[5,7,45],[6,7,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,73],[0,2,56],[0,3,5],[0,4,61],[0,5,95],[0,6,36],[0,7,40],[1,2,11],[1,3,8],[1,4,50],[1,5,71],[1,6,87],[1,7,26],[2,3,11],[2,4,82],[2,5,54],[2,6,91],[2,7,57],[3,4,100],[3,5,90],[3,6,56],[3,7,93],[4,5,9],[4,7,27],[5,6,14],[5,7,45],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,73],[0,2,56],[0,3,5],[0,4,61],[0,5,95],[0,6,36],[0,7,40],[1,2,11],[1,3,8],[1,4,50],[1,5,71],[1,6,87],[1,7,26],[2,3,11],[2,4,82],[2,5,54],[2,6,91],[2,7,57],[3,4,100],[3,5,90],[3,6,56],[3,7,93],[4,5,9],[4,7,27],[5,6,14],[5,7,45],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (4,5)\",\"Add (1,2)\",\"Add (5,6)\",\"Add (1,7)\",\"Add (4,7)\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,73],[0,2,56],[0,3,5],[0,4,61],[0,5,95],[0,6,36],[0,7,40],[1,2,11],[1,3,8],[1,4,50],[1,5,71],[1,6,87],[1,7,26],[2,3,11],[2,4,82],[2,5,54],[2,6,91],[2,7,57],[3,4,100],[3,5,90],[3,6,56],[3,7,93],[4,5,9],[4,7,27],[5,6,14],[5,7,45],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5, w=5\",\"Add (1,3)=8, w=13\",\"Add (4,5)=9, w=22\",\"Add (1,2)=11, w=33\",\"Add (5,6)=14, w=47\",\"Add (1,7)=26, w=73\",\"Add (4,7)=27, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,73],[0,2,56],[0,3,5],[0,4,61],[0,5,95],[0,6,36],[0,7,40],[1,2,11],[1,3,8],[1,4,50],[1,5,71],[1,6,87],[1,7,26],[2,3,11],[2,4,82],[2,5,54],[2,6,91],[2,7,57],[3,4,100],[3,5,90],[3,6,56],[3,7,93],[4,5,9],[4,7,27],[5,6,14],[5,7,45],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5 Succeeded, w=5\",\"Add (1,3)=8 Succeeded, w=13\",\"Add (4,5)=9 Succeeded, w=22\",\"Add (1,2)=11 Succeeded, w=33\",\"Add (2,3)=11 Failed, w=33\",\"Add (5,6)=14 Succeeded, w=47\",\"Add (1,7)=26 Succeeded, w=73\",\"Add (4,7)=27 Succeeded, w=100\",\"Add (0,6)=36 Failed, w=100\",\"Add (0,7)=40 Failed, w=100\",\"Add (5,7)=45 Failed, w=100\",\"Add (1,4)=50 Failed, w=100\",\"Add (2,5)=54 Failed, w=100\",\"Add (0,2)=56 Failed, w=100\",\"Add (3,6)=56 Failed, w=100\",\"Add (2,7)=57 Failed, w=100\",\"Add (0,4)=61 Failed, w=100\",\"Add (1,5)=71 Failed, w=100\",\"Add (0,1)=73 Failed, w=100\",\"Add (2,4)=82 Failed, w=100\",\"Add (1,6)=87 Failed, w=100\",\"Add (6,7)=88 Failed, w=100\",\"Add (3,5)=90 Failed, w=100\",\"Add (2,6)=91 Failed, w=100\",\"Add (3,7)=93 Failed, w=100\",\"Add (0,5)=95 Failed, w=100\",\"Add (3,4)=100 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,73],[0,2,56],[0,3,5],[0,4,61],[0,5,95],[0,6,36],[0,7,40],[1,2,11],[1,3,8],[1,4,50],[1,5,71],[1,6,87],[1,7,26],[2,3,11],[2,4,82],[2,5,54],[2,6,91],[2,7,57],[3,4,100],[3,5,90],[3,6,56],[3,7,93],[4,5,9],[4,7,27],[5,6,14],[5,7,45],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(1,3)=8,(4,5)=9,(1,2)=11,(2,3)=11,(5,6)=14,(1,7)=26,(4,7)=27,(0,6)=36,(0,7)=40,(5,7)=45,(1,4)=50,(2,5)=54,(0,2)=56,(3,6)=56,(2,7)=57,(0,4)=61,(1,5)=71,(0,1)=73,(2,4)=82,(1,6)=87,(6,7)=88,(3,5)=90,(2,6)=91,(3,7)=93,(0,5)=95,(3,4)=100]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Find(1)=1, Find(3)=0, Add (1,3)=8 Succeeded, w=13\",\"Find(4)=4, Find(5)=5, Add (4,5)=9 Succeeded, w=22\",\"Find(1)=0, Find(2)=2, Add (1,2)=11 Succeeded, w=33\",\"Find(2)=0, Find(3)=0, Add (2,3)=11 Failed, w=33\",\"Find(5)=4, Find(6)=6, Add (5,6)=14 Succeeded, w=47\",\"Find(1)=0, Find(7)=7, Add (1,7)=26 Succeeded, w=73\",\"Find(4)=4, Find(7)=0, Add (4,7)=27 Succeeded, w=100\",\"Find(0)=4, Find(6)=4, Add (0,6)=36 Failed, w=100\",\"Find(0)=4, Find(7)=4, Add (0,7)=40 Failed, w=100\",\"Find(5)=4, Find(7)=4, Add (5,7)=45 Failed, w=100\",\"Find(1)=4, Find(4)=4, Add (1,4)=50 Failed, w=100\",\"Find(2)=4, Find(5)=4, Add (2,5)=54 Failed, w=100\",\"Find(0)=4, Find(2)=4, Add (0,2)=56 Failed, w=100\",\"Find(3)=4, Find(6)=4, Add (3,6)=56 Failed, w=100\",\"Find(2)=4, Find(7)=4, Add (2,7)=57 Failed, w=100\",\"Find(0)=4, Find(4)=4, Add (0,4)=61 Failed, w=100\",\"Find(1)=4, Find(5)=4, Add (1,5)=71 Failed, w=100\",\"Find(0)=4, Find(1)=4, Add (0,1)=73 Failed, w=100\",\"Find(2)=4, Find(4)=4, Add (2,4)=82 Failed, w=100\",\"Find(1)=4, Find(6)=4, Add (1,6)=87 Failed, w=100\",\"Find(6)=4, Find(7)=4, Add (6,7)=88 Failed, w=100\",\"Find(3)=4, Find(5)=4, Add (3,5)=90 Failed, w=100\",\"Find(2)=4, Find(6)=4, Add (2,6)=91 Failed, w=100\",\"Find(3)=4, Find(7)=4, Add (3,7)=93 Failed, w=100\",\"Find(0)=4, Find(5)=4, Add (0,5)=95 Failed, w=100\",\"Find(3)=4, Find(4)=4, Add (3,4)=100 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,73],[0,2,56],[0,3,5],[0,4,61],[0,5,95],[0,6,36],[0,7,40],[1,2,11],[1,3,8],[1,4,50],[1,5,71],[1,6,87],[1,7,26],[2,3,11],[2,4,82],[2,5,54],[2,6,91],[2,7,57],[3,4,100],[3,5,90],[3,6,56],[3,7,93],[4,5,9],[4,7,27],[5,6,14],[5,7,45],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(1,3)=8,(4,5)=9,(1,2)=11,(2,3)=11,(5,6)=14,(1,7)=26,(4,7)=27,(0,6)=36,(0,7)=40,(5,7)=45,(1,4)=50,(2,5)=54,(0,2)=56,(3,6)=56,(2,7)=57,(0,4)=61,(1,5)=71,(0,1)=73,(2,4)=82,(1,6)=87,(6,7)=88,(3,5)=90,(2,6)=91,(3,7)=93,(0,5)=95,(3,4)=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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=0, Add (1,3)=8 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=9 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 4, 6: 6, 7: 7}, Find(1)=0, Find(2)=2, Add (1,2)=11 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 4, 6: 6, 7: 7}, Find(2)=0, Find(3)=0, Add (2,3)=11 Failed, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 4, 6: 4, 7: 7}, Find(5)=4, Find(6)=6, Add (5,6)=14 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 4, 6: 4, 7: 0}, Find(1)=0, Find(7)=7, Add (1,7)=26 Succeeded, w=73\",\"Parent: {0: 4, 1: 0, 2: 0, 3: 0, 4: 4, 5: 4, 6: 4, 7: 0}, Find(4)=4, Find(7)=0, Add (4,7)=27 Succeeded, w=100\",\"Parent: {0: 4, 1: 0, 2: 0, 3: 0, 4: 4, 5: 4, 6: 4, 7: 0}, Find(0)=4, Find(6)=4, Add (0,6)=36 Failed, w=100\",\"Parent: {0: 4, 1: 0, 2: 0, 3: 0, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(7)=4, Add (0,7)=40 Failed, w=100\",\"Parent: {0: 4, 1: 0, 2: 0, 3: 0, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(7)=4, Add (5,7)=45 Failed, w=100\",\"Parent: {0: 4, 1: 4, 2: 0, 3: 0, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(4)=4, Add (1,4)=50 Failed, w=100\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 0, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(5)=4, Add (2,5)=54 Failed, w=100\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 0, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(2)=4, Add (0,2)=56 Failed, w=100\",\"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)=56 Failed, w=100\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(7)=4, Add (2,7)=57 Failed, w=100\",\"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)=61 Failed, w=100\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(5)=4, Add (1,5)=71 Failed, w=100\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(1)=4, Add (0,1)=73 Failed, w=100\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(4)=4, Add (2,4)=82 Failed, w=100\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(6)=4, Add (1,6)=87 Failed, w=100\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(6)=4, Find(7)=4, Add (6,7)=88 Failed, w=100\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(5)=4, Add (3,5)=90 Failed, w=100\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(6)=4, Add (2,6)=91 Failed, w=100\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(7)=4, Add (3,7)=93 Failed, w=100\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(5)=4, Add (0,5)=95 Failed, w=100\",\"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)=100 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,57],[0,3,42],[0,4,56],[0,6,62],[0,7,92],[1,3,97],[1,5,34],[1,6,5],[1,7,87],[2,3,77],[2,4,32],[2,5,56],[2,6,40],[2,7,23],[3,7,87],[4,5,1],[4,6,67],[4,7,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,3,42],[0,4,56],[0,6,62],[0,7,92],[1,3,97],[1,5,34],[1,6,5],[1,7,87],[2,3,77],[2,4,32],[2,5,56],[2,6,40],[2,7,23],[3,7,87],[4,5,1],[4,6,67],[4,7,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,3,42],[0,4,56],[0,6,62],[0,7,92],[1,3,97],[1,5,34],[1,6,5],[1,7,87],[2,3,77],[2,4,32],[2,5,56],[2,6,40],[2,7,23],[3,7,87],[4,5,1],[4,6,67],[4,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (1,6)\",\"Add (2,7)\",\"Add (2,4)\",\"Add (1,5)\",\"Add (0,3)\",\"Add (0,4)\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,3,42],[0,4,56],[0,6,62],[0,7,92],[1,3,97],[1,5,34],[1,6,5],[1,7,87],[2,3,77],[2,4,32],[2,5,56],[2,6,40],[2,7,23],[3,7,87],[4,5,1],[4,6,67],[4,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1, w=1\",\"Add (1,6)=5, w=6\",\"Add (2,7)=23, w=29\",\"Add (2,4)=32, w=61\",\"Add (1,5)=34, w=95\",\"Add (0,3)=42, w=137\",\"Add (0,4)=56, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,3,42],[0,4,56],[0,6,62],[0,7,92],[1,3,97],[1,5,34],[1,6,5],[1,7,87],[2,3,77],[2,4,32],[2,5,56],[2,6,40],[2,7,23],[3,7,87],[4,5,1],[4,6,67],[4,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1 Succeeded, w=1\",\"Add (1,6)=5 Succeeded, w=6\",\"Add (2,7)=23 Succeeded, w=29\",\"Add (2,4)=32 Succeeded, w=61\",\"Add (1,5)=34 Succeeded, w=95\",\"Add (2,6)=40 Failed, w=95\",\"Add (0,3)=42 Succeeded, w=137\",\"Add (0,4)=56 Succeeded, w=193\",\"Add (2,5)=56 Failed, w=193\",\"Add (0,1)=57 Failed, w=193\",\"Add (0,6)=62 Failed, w=193\",\"Add (4,6)=67 Failed, w=193\",\"Add (4,7)=73 Failed, w=193\",\"Add (2,3)=77 Failed, w=193\",\"Add (1,7)=87 Failed, w=193\",\"Add (3,7)=87 Failed, w=193\",\"Add (0,7)=92 Failed, w=193\",\"Add (1,3)=97 Failed, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,3,42],[0,4,56],[0,6,62],[0,7,92],[1,3,97],[1,5,34],[1,6,5],[1,7,87],[2,3,77],[2,4,32],[2,5,56],[2,6,40],[2,7,23],[3,7,87],[4,5,1],[4,6,67],[4,7,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(1,6)=5,(2,7)=23,(2,4)=32,(1,5)=34,(2,6)=40,(0,3)=42,(0,4)=56,(2,5)=56,(0,1)=57,(0,6)=62,(4,6)=67,(4,7)=73,(2,3)=77,(1,7)=87,(3,7)=87,(0,7)=92,(1,3)=97]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Find(1)=1, Find(6)=6, Add (1,6)=5 Succeeded, w=6\",\"Find(2)=2, Find(7)=7, Add (2,7)=23 Succeeded, w=29\",\"Find(2)=2, Find(4)=4, Add (2,4)=32 Succeeded, w=61\",\"Find(1)=1, Find(5)=2, Add (1,5)=34 Succeeded, w=95\",\"Find(2)=2, Find(6)=2, Add (2,6)=40 Failed, w=95\",\"Find(0)=0, Find(3)=3, Add (0,3)=42 Succeeded, w=137\",\"Find(0)=0, Find(4)=2, Add (0,4)=56 Succeeded, w=193\",\"Find(2)=2, Find(5)=2, Add (2,5)=56 Failed, w=193\",\"Find(0)=2, Find(1)=2, Add (0,1)=57 Failed, w=193\",\"Find(0)=2, Find(6)=2, Add (0,6)=62 Failed, w=193\",\"Find(4)=2, Find(6)=2, Add (4,6)=67 Failed, w=193\",\"Find(4)=2, Find(7)=2, Add (4,7)=73 Failed, w=193\",\"Find(2)=2, Find(3)=2, Add (2,3)=77 Failed, w=193\",\"Find(1)=2, Find(7)=2, Add (1,7)=87 Failed, w=193\",\"Find(3)=2, Find(7)=2, Add (3,7)=87 Failed, w=193\",\"Find(0)=2, Find(7)=2, Add (0,7)=92 Failed, w=193\",\"Find(1)=2, Find(3)=2, Add (1,3)=97 Failed, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,3,42],[0,4,56],[0,6,62],[0,7,92],[1,3,97],[1,5,34],[1,6,5],[1,7,87],[2,3,77],[2,4,32],[2,5,56],[2,6,40],[2,7,23],[3,7,87],[4,5,1],[4,6,67],[4,7,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(1,6)=5,(2,7)=23,(2,4)=32,(1,5)=34,(2,6)=40,(0,3)=42,(0,4)=56,(2,5)=56,(0,1)=57,(0,6)=62,(4,6)=67,(4,7)=73,(2,3)=77,(1,7)=87,(3,7)=87,(0,7)=92,(1,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 1, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=23 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 4, 6: 1, 7: 2}, Find(2)=2, Find(4)=4, Add (2,4)=32 Succeeded, w=61\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 1, 7: 2}, Find(1)=1, Find(5)=2, Add (1,5)=34 Succeeded, w=95\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(6)=2, Add (2,6)=40 Failed, w=95\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=0, Find(3)=3, Add (0,3)=42 Succeeded, w=137\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=0, Find(4)=2, Add (0,4)=56 Succeeded, w=193\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=56 Failed, w=193\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=57 Failed, w=193\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=62 Failed, w=193\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=67 Failed, w=193\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=73 Failed, w=193\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=77 Failed, w=193\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=87 Failed, w=193\",\"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)=87 Failed, w=193\",\"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)=92 Failed, w=193\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=97 Failed, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,98],[0,2,33],[0,3,77],[0,4,61],[0,5,0],[1,2,3],[1,3,21],[1,4,31],[1,5,45],[2,3,73],[2,4,82],[2,5,7],[3,4,23],[3,5,2],[4,5,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,33],[0,3,77],[0,4,61],[0,5,0],[1,2,3],[1,3,21],[1,4,31],[1,5,45],[2,3,73],[2,4,82],[2,5,7],[3,4,23],[3,5,2],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,33],[0,3,77],[0,4,61],[0,5,0],[1,2,3],[1,3,21],[1,4,31],[1,5,45],[2,3,73],[2,4,82],[2,5,7],[3,4,23],[3,5,2],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (3,5)\",\"Add (1,2)\",\"Add (2,5)\",\"Add (3,4)\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,33],[0,3,77],[0,4,61],[0,5,0],[1,2,3],[1,3,21],[1,4,31],[1,5,45],[2,3,73],[2,4,82],[2,5,7],[3,4,23],[3,5,2],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0, w=0\",\"Add (3,5)=2, w=2\",\"Add (1,2)=3, w=5\",\"Add (2,5)=7, w=12\",\"Add (3,4)=23, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,33],[0,3,77],[0,4,61],[0,5,0],[1,2,3],[1,3,21],[1,4,31],[1,5,45],[2,3,73],[2,4,82],[2,5,7],[3,4,23],[3,5,2],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0 Succeeded, w=0\",\"Add (3,5)=2 Succeeded, w=2\",\"Add (1,2)=3 Succeeded, w=5\",\"Add (2,5)=7 Succeeded, w=12\",\"Add (1,3)=21 Failed, w=12\",\"Add (3,4)=23 Succeeded, w=35\",\"Add (1,4)=31 Failed, w=35\",\"Add (4,5)=31 Failed, w=35\",\"Add (0,2)=33 Failed, w=35\",\"Add (1,5)=45 Failed, w=35\",\"Add (0,4)=61 Failed, w=35\",\"Add (2,3)=73 Failed, w=35\",\"Add (0,3)=77 Failed, w=35\",\"Add (2,4)=82 Failed, w=35\",\"Add (0,1)=98 Failed, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,33],[0,3,77],[0,4,61],[0,5,0],[1,2,3],[1,3,21],[1,4,31],[1,5,45],[2,3,73],[2,4,82],[2,5,7],[3,4,23],[3,5,2],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(3,5)=2,(1,2)=3,(2,5)=7,(1,3)=21,(3,4)=23,(1,4)=31,(4,5)=31,(0,2)=33,(1,5)=45,(0,4)=61,(2,3)=73,(0,3)=77,(2,4)=82,(0,1)=98]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Find(3)=3, Find(5)=0, Add (3,5)=2 Succeeded, w=2\",\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=5\",\"Find(2)=1, Find(5)=0, Add (2,5)=7 Succeeded, w=12\",\"Find(1)=1, Find(3)=1, Add (1,3)=21 Failed, w=12\",\"Find(3)=1, Find(4)=4, Add (3,4)=23 Succeeded, w=35\",\"Find(1)=1, Find(4)=1, Add (1,4)=31 Failed, w=35\",\"Find(4)=1, Find(5)=1, Add (4,5)=31 Failed, w=35\",\"Find(0)=1, Find(2)=1, Add (0,2)=33 Failed, w=35\",\"Find(1)=1, Find(5)=1, Add (1,5)=45 Failed, w=35\",\"Find(0)=1, Find(4)=1, Add (0,4)=61 Failed, w=35\",\"Find(2)=1, Find(3)=1, Add (2,3)=73 Failed, w=35\",\"Find(0)=1, Find(3)=1, Add (0,3)=77 Failed, w=35\",\"Find(2)=1, Find(4)=1, Add (2,4)=82 Failed, w=35\",\"Find(0)=1, Find(1)=1, Add (0,1)=98 Failed, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,33],[0,3,77],[0,4,61],[0,5,0],[1,2,3],[1,3,21],[1,4,31],[1,5,45],[2,3,73],[2,4,82],[2,5,7],[3,4,23],[3,5,2],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(3,5)=2,(1,2)=3,(2,5)=7,(1,3)=21,(3,4)=23,(1,4)=31,(4,5)=31,(0,2)=33,(1,5)=45,(0,4)=61,(2,3)=73,(0,3)=77,(2,4)=82,(0,1)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 0}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=5\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 4, 5: 0}, Find(2)=1, Find(5)=0, Add (2,5)=7 Succeeded, w=12\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 0}, Find(1)=1, Find(3)=1, Add (1,3)=21 Failed, w=12\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(3)=1, Find(4)=4, Add (3,4)=23 Succeeded, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(1)=1, Find(4)=1, Add (1,4)=31 Failed, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=31 Failed, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=33 Failed, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=45 Failed, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=61 Failed, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=73 Failed, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=77 Failed, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=82 Failed, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=98 Failed, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,37],[0,2,56],[0,3,45],[1,3,15],[1,4,11],[2,5,80],[2,6,69],[3,4,25],[3,5,77],[4,6,51],[5,6,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,37],[0,2,56],[0,3,45],[1,3,15],[1,4,11],[2,5,80],[2,6,69],[3,4,25],[3,5,77],[4,6,51],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,37],[0,2,56],[0,3,45],[1,3,15],[1,4,11],[2,5,80],[2,6,69],[3,4,25],[3,5,77],[4,6,51],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (1,4)\",\"Add (1,3)\",\"Add (0,1)\",\"Add (4,6)\",\"Add (0,2)\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,37],[0,2,56],[0,3,45],[1,3,15],[1,4,11],[2,5,80],[2,6,69],[3,4,25],[3,5,77],[4,6,51],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=1, w=1\",\"Add (1,4)=11, w=12\",\"Add (1,3)=15, w=27\",\"Add (0,1)=37, w=64\",\"Add (4,6)=51, w=115\",\"Add (0,2)=56, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,37],[0,2,56],[0,3,45],[1,3,15],[1,4,11],[2,5,80],[2,6,69],[3,4,25],[3,5,77],[4,6,51],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=1 Succeeded, w=1\",\"Add (1,4)=11 Succeeded, w=12\",\"Add (1,3)=15 Succeeded, w=27\",\"Add (3,4)=25 Failed, w=27\",\"Add (0,1)=37 Succeeded, w=64\",\"Add (0,3)=45 Failed, w=64\",\"Add (4,6)=51 Succeeded, w=115\",\"Add (0,2)=56 Succeeded, w=171\",\"Add (2,6)=69 Failed, w=171\",\"Add (3,5)=77 Failed, w=171\",\"Add (2,5)=80 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,37],[0,2,56],[0,3,45],[1,3,15],[1,4,11],[2,5,80],[2,6,69],[3,4,25],[3,5,77],[4,6,51],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=1,(1,4)=11,(1,3)=15,(3,4)=25,(0,1)=37,(0,3)=45,(4,6)=51,(0,2)=56,(2,6)=69,(3,5)=77,(2,5)=80]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=1 Succeeded, w=1\",\"Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=12\",\"Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=27\",\"Find(3)=1, Find(4)=1, Add (3,4)=25 Failed, w=27\",\"Find(0)=0, Find(1)=1, Add (0,1)=37 Succeeded, w=64\",\"Find(0)=1, Find(3)=1, Add (0,3)=45 Failed, w=64\",\"Find(4)=1, Find(6)=5, Add (4,6)=51 Succeeded, w=115\",\"Find(0)=1, Find(2)=2, Add (0,2)=56 Succeeded, w=171\",\"Find(2)=1, Find(6)=1, Add (2,6)=69 Failed, w=171\",\"Find(3)=1, Find(5)=1, Add (3,5)=77 Failed, w=171\",\"Find(2)=1, Find(5)=1, Add (2,5)=80 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,37],[0,2,56],[0,3,45],[1,3,15],[1,4,11],[2,5,80],[2,6,69],[3,4,25],[3,5,77],[4,6,51],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=1,(1,4)=11,(1,3)=15,(3,4)=25,(0,1)=37,(0,3)=45,(4,6)=51,(0,2)=56,(2,6)=69,(3,5)=77,(2,5)=80]\",\"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: 2, 3: 3, 4: 1, 5: 5, 6: 5}, Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 5}, Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 5}, Find(3)=1, Find(4)=1, Add (3,4)=25 Failed, w=27\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 5}, Find(0)=0, Find(1)=1, Add (0,1)=37 Succeeded, w=64\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 5}, Find(0)=1, Find(3)=1, Add (0,3)=45 Failed, w=64\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 5}, Find(4)=1, Find(6)=5, Add (4,6)=51 Succeeded, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5}, Find(0)=1, Find(2)=2, Add (0,2)=56 Succeeded, w=171\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=69 Failed, w=171\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=77 Failed, w=171\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=80 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,36],[0,2,53],[1,3,0],[1,4,63],[2,3,91],[2,4,42],[3,4,71]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,53],[1,3,0],[1,4,63],[2,3,91],[2,4,42],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,53],[1,3,0],[1,4,63],[2,3,91],[2,4,42],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (0,2)\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,53],[1,3,0],[1,4,63],[2,3,91],[2,4,42],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (0,1)=36, w=36\",\"Add (2,4)=42, w=78\",\"Add (0,2)=53, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,53],[1,3,0],[1,4,63],[2,3,91],[2,4,42],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (0,1)=36 Succeeded, w=36\",\"Add (2,4)=42 Succeeded, w=78\",\"Add (0,2)=53 Succeeded, w=131\",\"Add (1,4)=63 Failed, w=131\",\"Add (3,4)=71 Failed, w=131\",\"Add (2,3)=91 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,53],[1,3,0],[1,4,63],[2,3,91],[2,4,42],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(0,1)=36,(2,4)=42,(0,2)=53,(1,4)=63,(3,4)=71,(2,3)=91]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=36\",\"Find(2)=2, Find(4)=4, Add (2,4)=42 Succeeded, w=78\",\"Find(0)=1, Find(2)=2, Add (0,2)=53 Succeeded, w=131\",\"Find(1)=1, Find(4)=1, Add (1,4)=63 Failed, w=131\",\"Find(3)=1, Find(4)=1, Add (3,4)=71 Failed, w=131\",\"Find(2)=1, Find(3)=1, Add (2,3)=91 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,53],[1,3,0],[1,4,63],[2,3,91],[2,4,42],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(0,1)=36,(2,4)=42,(0,2)=53,(1,4)=63,(3,4)=71,(2,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=42 Succeeded, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2}, Find(0)=1, Find(2)=2, Add (0,2)=53 Succeeded, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=63 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=71 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=91 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,22],[0,2,43],[0,3,25],[0,4,41],[0,5,44],[0,6,31],[1,2,50],[1,3,95],[1,4,98],[1,5,31],[1,6,97],[2,3,5],[2,4,82],[2,5,80],[2,6,62],[3,4,79],[3,5,11],[3,6,83],[4,5,44],[4,6,16],[5,6,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,43],[0,3,25],[0,4,41],[0,5,44],[0,6,31],[1,2,50],[1,3,95],[1,4,98],[1,5,31],[1,6,97],[2,3,5],[2,4,82],[2,5,80],[2,6,62],[3,4,79],[3,5,11],[3,6,83],[4,5,44],[4,6,16],[5,6,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,43],[0,3,25],[0,4,41],[0,5,44],[0,6,31],[1,2,50],[1,3,95],[1,4,98],[1,5,31],[1,6,97],[2,3,5],[2,4,82],[2,5,80],[2,6,62],[3,4,79],[3,5,11],[3,6,83],[4,5,44],[4,6,16],[5,6,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,5)\",\"Add (4,6)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (0,6)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,43],[0,3,25],[0,4,41],[0,5,44],[0,6,31],[1,2,50],[1,3,95],[1,4,98],[1,5,31],[1,6,97],[2,3,5],[2,4,82],[2,5,80],[2,6,62],[3,4,79],[3,5,11],[3,6,83],[4,5,44],[4,6,16],[5,6,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5, w=5\",\"Add (3,5)=11, w=16\",\"Add (4,6)=16, w=32\",\"Add (0,1)=22, w=54\",\"Add (0,3)=25, w=79\",\"Add (0,6)=31, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,43],[0,3,25],[0,4,41],[0,5,44],[0,6,31],[1,2,50],[1,3,95],[1,4,98],[1,5,31],[1,6,97],[2,3,5],[2,4,82],[2,5,80],[2,6,62],[3,4,79],[3,5,11],[3,6,83],[4,5,44],[4,6,16],[5,6,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5 Succeeded, w=5\",\"Add (3,5)=11 Succeeded, w=16\",\"Add (4,6)=16 Succeeded, w=32\",\"Add (0,1)=22 Succeeded, w=54\",\"Add (0,3)=25 Succeeded, w=79\",\"Add (0,6)=31 Succeeded, w=110\",\"Add (1,5)=31 Failed, w=110\",\"Add (0,4)=41 Failed, w=110\",\"Add (0,2)=43 Failed, w=110\",\"Add (0,5)=44 Failed, w=110\",\"Add (4,5)=44 Failed, w=110\",\"Add (1,2)=50 Failed, w=110\",\"Add (2,6)=62 Failed, w=110\",\"Add (3,4)=79 Failed, w=110\",\"Add (2,5)=80 Failed, w=110\",\"Add (2,4)=82 Failed, w=110\",\"Add (3,6)=83 Failed, w=110\",\"Add (1,3)=95 Failed, w=110\",\"Add (5,6)=95 Failed, w=110\",\"Add (1,6)=97 Failed, w=110\",\"Add (1,4)=98 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,43],[0,3,25],[0,4,41],[0,5,44],[0,6,31],[1,2,50],[1,3,95],[1,4,98],[1,5,31],[1,6,97],[2,3,5],[2,4,82],[2,5,80],[2,6,62],[3,4,79],[3,5,11],[3,6,83],[4,5,44],[4,6,16],[5,6,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(3,5)=11,(4,6)=16,(0,1)=22,(0,3)=25,(0,6)=31,(1,5)=31,(0,4)=41,(0,2)=43,(0,5)=44,(4,5)=44,(1,2)=50,(2,6)=62,(3,4)=79,(2,5)=80,(2,4)=82,(3,6)=83,(1,3)=95,(5,6)=95,(1,6)=97,(1,4)=98]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Find(3)=2, Find(5)=5, Add (3,5)=11 Succeeded, w=16\",\"Find(4)=4, Find(6)=6, Add (4,6)=16 Succeeded, w=32\",\"Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=54\",\"Find(0)=0, Find(3)=2, Add (0,3)=25 Succeeded, w=79\",\"Find(0)=0, Find(6)=4, Add (0,6)=31 Succeeded, w=110\",\"Find(1)=0, Find(5)=0, Add (1,5)=31 Failed, w=110\",\"Find(0)=0, Find(4)=0, Add (0,4)=41 Failed, w=110\",\"Find(0)=0, Find(2)=0, Add (0,2)=43 Failed, w=110\",\"Find(0)=0, Find(5)=0, Add (0,5)=44 Failed, w=110\",\"Find(4)=0, Find(5)=0, Add (4,5)=44 Failed, w=110\",\"Find(1)=0, Find(2)=0, Add (1,2)=50 Failed, w=110\",\"Find(2)=0, Find(6)=0, Add (2,6)=62 Failed, w=110\",\"Find(3)=0, Find(4)=0, Add (3,4)=79 Failed, w=110\",\"Find(2)=0, Find(5)=0, Add (2,5)=80 Failed, w=110\",\"Find(2)=0, Find(4)=0, Add (2,4)=82 Failed, w=110\",\"Find(3)=0, Find(6)=0, Add (3,6)=83 Failed, w=110\",\"Find(1)=0, Find(3)=0, Add (1,3)=95 Failed, w=110\",\"Find(5)=0, Find(6)=0, Add (5,6)=95 Failed, w=110\",\"Find(1)=0, Find(6)=0, Add (1,6)=97 Failed, w=110\",\"Find(1)=0, Find(4)=0, Add (1,4)=98 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,43],[0,3,25],[0,4,41],[0,5,44],[0,6,31],[1,2,50],[1,3,95],[1,4,98],[1,5,31],[1,6,97],[2,3,5],[2,4,82],[2,5,80],[2,6,62],[3,4,79],[3,5,11],[3,6,83],[4,5,44],[4,6,16],[5,6,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(3,5)=11,(4,6)=16,(0,1)=22,(0,3)=25,(0,6)=31,(1,5)=31,(0,4)=41,(0,2)=43,(0,5)=44,(4,5)=44,(1,2)=50,(2,6)=62,(3,4)=79,(2,5)=80,(2,4)=82,(3,6)=83,(1,3)=95,(5,6)=95,(1,6)=97,(1,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6}, Find(3)=2, Find(5)=5, Add (3,5)=11 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=16 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 2, 6: 4}, Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4, 5: 2, 6: 4}, Find(0)=0, Find(3)=2, Add (0,3)=25 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 2, 6: 4}, Find(0)=0, Find(6)=4, Add (0,6)=31 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 4}, Find(1)=0, Find(5)=0, Add (1,5)=31 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 4}, Find(0)=0, Find(4)=0, Add (0,4)=41 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 4}, Find(0)=0, Find(2)=0, Add (0,2)=43 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 4}, Find(0)=0, Find(5)=0, Add (0,5)=44 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 4}, Find(4)=0, Find(5)=0, Add (4,5)=44 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 4}, Find(1)=0, Find(2)=0, Add (1,2)=50 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=62 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=79 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=80 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=82 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=83 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=95 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=95 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=97 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=98 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,89],[0,3,95],[0,4,97],[1,2,19],[2,3,12],[3,4,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,89],[0,3,95],[0,4,97],[1,2,19],[2,3,12],[3,4,23]]}",
"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\":[[0,2,89],[0,3,95],[0,4,97],[1,2,19],[2,3,12],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (0,2)\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,89],[0,3,95],[0,4,97],[1,2,19],[2,3,12],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=12, w=12\",\"Add (1,2)=19, w=31\",\"Add (3,4)=23, w=54\",\"Add (0,2)=89, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,89],[0,3,95],[0,4,97],[1,2,19],[2,3,12],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=12 Succeeded, w=12\",\"Add (1,2)=19 Succeeded, w=31\",\"Add (3,4)=23 Succeeded, w=54\",\"Add (0,2)=89 Succeeded, w=143\",\"Add (0,3)=95 Failed, w=143\",\"Add (0,4)=97 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\":[[0,2,89],[0,3,95],[0,4,97],[1,2,19],[2,3,12],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=12,(1,2)=19,(3,4)=23,(0,2)=89,(0,3)=95,(0,4)=97]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=12\",\"Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=31\",\"Find(3)=2, Find(4)=4, Add (3,4)=23 Succeeded, w=54\",\"Find(0)=0, Find(2)=2, Add (0,2)=89 Succeeded, w=143\",\"Find(0)=2, Find(3)=2, Add (0,3)=95 Failed, w=143\",\"Find(0)=2, Find(4)=2, Add (0,4)=97 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\":[[0,2,89],[0,3,95],[0,4,97],[1,2,19],[2,3,12],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=12,(1,2)=19,(3,4)=23,(0,2)=89,(0,3)=95,(0,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=31\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=4, Add (3,4)=23 Succeeded, w=54\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=89 Succeeded, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=95 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=97 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,96],[0,2,51],[0,3,69],[0,4,29],[1,2,12],[1,3,93],[1,4,79],[2,3,49],[2,4,71],[3,4,100]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,2,51],[0,3,69],[0,4,29],[1,2,12],[1,3,93],[1,4,79],[2,3,49],[2,4,71],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,2,51],[0,3,69],[0,4,29],[1,2,12],[1,3,93],[1,4,79],[2,3,49],[2,4,71],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,4)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,2,51],[0,3,69],[0,4,29],[1,2,12],[1,3,93],[1,4,79],[2,3,49],[2,4,71],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=12, w=12\",\"Add (0,4)=29, w=41\",\"Add (2,3)=49, w=90\",\"Add (0,2)=51, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,2,51],[0,3,69],[0,4,29],[1,2,12],[1,3,93],[1,4,79],[2,3,49],[2,4,71],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=12 Succeeded, w=12\",\"Add (0,4)=29 Succeeded, w=41\",\"Add (2,3)=49 Succeeded, w=90\",\"Add (0,2)=51 Succeeded, w=141\",\"Add (0,3)=69 Failed, w=141\",\"Add (2,4)=71 Failed, w=141\",\"Add (1,4)=79 Failed, w=141\",\"Add (1,3)=93 Failed, w=141\",\"Add (0,1)=96 Failed, w=141\",\"Add (3,4)=100 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,2,51],[0,3,69],[0,4,29],[1,2,12],[1,3,93],[1,4,79],[2,3,49],[2,4,71],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=12,(0,4)=29,(2,3)=49,(0,2)=51,(0,3)=69,(2,4)=71,(1,4)=79,(1,3)=93,(0,1)=96,(3,4)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=12\",\"Find(0)=0, Find(4)=4, Add (0,4)=29 Succeeded, w=41\",\"Find(2)=1, Find(3)=3, Add (2,3)=49 Succeeded, w=90\",\"Find(0)=0, Find(2)=1, Add (0,2)=51 Succeeded, w=141\",\"Find(0)=0, Find(3)=0, Add (0,3)=69 Failed, w=141\",\"Find(2)=0, Find(4)=0, Add (2,4)=71 Failed, w=141\",\"Find(1)=0, Find(4)=0, Add (1,4)=79 Failed, w=141\",\"Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=141\",\"Find(0)=0, Find(1)=0, Add (0,1)=96 Failed, w=141\",\"Find(3)=0, Find(4)=0, Add (3,4)=100 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,2,51],[0,3,69],[0,4,29],[1,2,12],[1,3,93],[1,4,79],[2,3,49],[2,4,71],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=12,(0,4)=29,(2,3)=49,(0,2)=51,(0,3)=69,(2,4)=71,(1,4)=79,(1,3)=93,(0,1)=96,(3,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=29 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0}, Find(2)=1, Find(3)=3, Add (2,3)=49 Succeeded, w=90\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0}, Find(0)=0, Find(2)=1, Add (0,2)=51 Succeeded, w=141\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=69 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=71 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=79 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=96 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=100 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,74],[0,2,4],[0,3,80],[0,4,19],[1,2,89],[1,3,12],[1,4,79],[2,3,77],[2,4,4],[3,4,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,4],[0,3,80],[0,4,19],[1,2,89],[1,3,12],[1,4,79],[2,3,77],[2,4,4],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,4],[0,3,80],[0,4,19],[1,2,89],[1,3,12],[1,4,79],[2,3,77],[2,4,4],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (3,4)\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,4],[0,3,80],[0,4,19],[1,2,89],[1,3,12],[1,4,79],[2,3,77],[2,4,4],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=4, w=4\",\"Add (2,4)=4, w=8\",\"Add (1,3)=12, w=20\",\"Add (3,4)=29, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,4],[0,3,80],[0,4,19],[1,2,89],[1,3,12],[1,4,79],[2,3,77],[2,4,4],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=4 Succeeded, w=4\",\"Add (2,4)=4 Succeeded, w=8\",\"Add (1,3)=12 Succeeded, w=20\",\"Add (0,4)=19 Failed, w=20\",\"Add (3,4)=29 Succeeded, w=49\",\"Add (0,1)=74 Failed, w=49\",\"Add (2,3)=77 Failed, w=49\",\"Add (1,4)=79 Failed, w=49\",\"Add (0,3)=80 Failed, w=49\",\"Add (1,2)=89 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,4],[0,3,80],[0,4,19],[1,2,89],[1,3,12],[1,4,79],[2,3,77],[2,4,4],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=4,(2,4)=4,(1,3)=12,(0,4)=19,(3,4)=29,(0,1)=74,(2,3)=77,(1,4)=79,(0,3)=80,(1,2)=89]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Find(2)=0, Find(4)=4, Add (2,4)=4 Succeeded, w=8\",\"Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=20\",\"Find(0)=0, Find(4)=0, Add (0,4)=19 Failed, w=20\",\"Find(3)=1, Find(4)=0, Add (3,4)=29 Succeeded, w=49\",\"Find(0)=1, Find(1)=1, Add (0,1)=74 Failed, w=49\",\"Find(2)=1, Find(3)=1, Add (2,3)=77 Failed, w=49\",\"Find(1)=1, Find(4)=1, Add (1,4)=79 Failed, w=49\",\"Find(0)=1, Find(3)=1, Add (0,3)=80 Failed, w=49\",\"Find(1)=1, Find(2)=1, Add (1,2)=89 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,4],[0,3,80],[0,4,19],[1,2,89],[1,3,12],[1,4,79],[2,3,77],[2,4,4],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=4,(2,4)=4,(1,3)=12,(0,4)=19,(3,4)=29,(0,1)=74,(2,3)=77,(1,4)=79,(0,3)=80,(1,2)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=4 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0}, Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=19 Failed, w=20\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 0}, Find(3)=1, Find(4)=0, Add (3,4)=29 Succeeded, w=49\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 0}, Find(0)=1, Find(1)=1, Add (0,1)=74 Failed, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(2)=1, Find(3)=1, Add (2,3)=77 Failed, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=79 Failed, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=80 Failed, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=89 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,48],[0,2,55],[0,3,55],[0,4,6],[2,4,1],[3,4,18]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,48],[0,2,55],[0,3,55],[0,4,6],[2,4,1],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,48],[0,2,55],[0,3,55],[0,4,6],[2,4,1],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,4)\",\"Add (3,4)\",\"Add (0,1)\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,48],[0,2,55],[0,3,55],[0,4,6],[2,4,1],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (0,4)=6, w=7\",\"Add (3,4)=18, w=25\",\"Add (0,1)=48, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,48],[0,2,55],[0,3,55],[0,4,6],[2,4,1],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (0,4)=6 Succeeded, w=7\",\"Add (3,4)=18 Succeeded, w=25\",\"Add (0,1)=48 Succeeded, w=73\",\"Add (0,2)=55 Failed, w=73\",\"Add (0,3)=55 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,48],[0,2,55],[0,3,55],[0,4,6],[2,4,1],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(0,4)=6,(3,4)=18,(0,1)=48,(0,2)=55,(0,3)=55]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(4)=2, Add (0,4)=6 Succeeded, w=7\",\"Find(3)=3, Find(4)=2, Add (3,4)=18 Succeeded, w=25\",\"Find(0)=2, Find(1)=1, Add (0,1)=48 Succeeded, w=73\",\"Find(0)=2, Find(2)=2, Add (0,2)=55 Failed, w=73\",\"Find(0)=2, Find(3)=2, Add (0,3)=55 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,48],[0,2,55],[0,3,55],[0,4,6],[2,4,1],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(0,4)=6,(3,4)=18,(0,1)=48,(0,2)=55,(0,3)=55]\",\"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: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=6 Succeeded, w=7\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=3, Find(4)=2, Add (3,4)=18 Succeeded, w=25\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=1, Add (0,1)=48 Succeeded, w=73\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=55 Failed, w=73\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=55 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,25],[0,2,32],[0,3,8],[0,4,28],[0,5,24],[1,2,15],[1,3,69],[1,4,31],[1,5,6],[2,3,33],[2,4,67],[2,5,67],[3,4,15],[3,5,55],[4,5,71]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,2,32],[0,3,8],[0,4,28],[0,5,24],[1,2,15],[1,3,69],[1,4,31],[1,5,6],[2,3,33],[2,4,67],[2,5,67],[3,4,15],[3,5,55],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,2,32],[0,3,8],[0,4,28],[0,5,24],[1,2,15],[1,3,69],[1,4,31],[1,5,6],[2,3,33],[2,4,67],[2,5,67],[3,4,15],[3,5,55],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (0,5)\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,2,32],[0,3,8],[0,4,28],[0,5,24],[1,2,15],[1,3,69],[1,4,31],[1,5,6],[2,3,33],[2,4,67],[2,5,67],[3,4,15],[3,5,55],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=6, w=6\",\"Add (0,3)=8, w=14\",\"Add (1,2)=15, w=29\",\"Add (3,4)=15, w=44\",\"Add (0,5)=24, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,2,32],[0,3,8],[0,4,28],[0,5,24],[1,2,15],[1,3,69],[1,4,31],[1,5,6],[2,3,33],[2,4,67],[2,5,67],[3,4,15],[3,5,55],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=6 Succeeded, w=6\",\"Add (0,3)=8 Succeeded, w=14\",\"Add (1,2)=15 Succeeded, w=29\",\"Add (3,4)=15 Succeeded, w=44\",\"Add (0,5)=24 Succeeded, w=68\",\"Add (0,1)=25 Failed, w=68\",\"Add (0,4)=28 Failed, w=68\",\"Add (1,4)=31 Failed, w=68\",\"Add (0,2)=32 Failed, w=68\",\"Add (2,3)=33 Failed, w=68\",\"Add (3,5)=55 Failed, w=68\",\"Add (2,4)=67 Failed, w=68\",\"Add (2,5)=67 Failed, w=68\",\"Add (1,3)=69 Failed, w=68\",\"Add (4,5)=71 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,2,32],[0,3,8],[0,4,28],[0,5,24],[1,2,15],[1,3,69],[1,4,31],[1,5,6],[2,3,33],[2,4,67],[2,5,67],[3,4,15],[3,5,55],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=6,(0,3)=8,(1,2)=15,(3,4)=15,(0,5)=24,(0,1)=25,(0,4)=28,(1,4)=31,(0,2)=32,(2,3)=33,(3,5)=55,(2,4)=67,(2,5)=67,(1,3)=69,(4,5)=71]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=6 Succeeded, w=6\",\"Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=14\",\"Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=29\",\"Find(3)=0, Find(4)=4, Add (3,4)=15 Succeeded, w=44\",\"Find(0)=0, Find(5)=1, Add (0,5)=24 Succeeded, w=68\",\"Find(0)=0, Find(1)=0, Add (0,1)=25 Failed, w=68\",\"Find(0)=0, Find(4)=0, Add (0,4)=28 Failed, w=68\",\"Find(1)=0, Find(4)=0, Add (1,4)=31 Failed, w=68\",\"Find(0)=0, Find(2)=0, Add (0,2)=32 Failed, w=68\",\"Find(2)=0, Find(3)=0, Add (2,3)=33 Failed, w=68\",\"Find(3)=0, Find(5)=0, Add (3,5)=55 Failed, w=68\",\"Find(2)=0, Find(4)=0, Add (2,4)=67 Failed, w=68\",\"Find(2)=0, Find(5)=0, Add (2,5)=67 Failed, w=68\",\"Find(1)=0, Find(3)=0, Add (1,3)=69 Failed, w=68\",\"Find(4)=0, Find(5)=0, Add (4,5)=71 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,2,32],[0,3,8],[0,4,28],[0,5,24],[1,2,15],[1,3,69],[1,4,31],[1,5,6],[2,3,33],[2,4,67],[2,5,67],[3,4,15],[3,5,55],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=6,(0,3)=8,(1,2)=15,(3,4)=15,(0,5)=24,(0,1)=25,(0,4)=28,(1,4)=31,(0,2)=32,(2,3)=33,(3,5)=55,(2,4)=67,(2,5)=67,(1,3)=69,(4,5)=71]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 1}, Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 1}, Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 1}, Find(3)=0, Find(4)=4, Add (3,4)=15 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=24 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 1}, Find(0)=0, Find(1)=0, Add (0,1)=25 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 1}, Find(0)=0, Find(4)=0, Add (0,4)=28 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 1}, Find(1)=0, Find(4)=0, Add (1,4)=31 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(0)=0, Find(2)=0, Add (0,2)=32 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(2)=0, Find(3)=0, Add (2,3)=33 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=55 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=67 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=67 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=69 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=71 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,29],[0,3,95],[0,4,12],[1,2,47],[1,3,77],[1,4,32],[3,4,59],[4,5,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,29],[0,3,95],[0,4,12],[1,2,47],[1,3,77],[1,4,32],[3,4,59],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,29],[0,3,95],[0,4,12],[1,2,47],[1,3,77],[1,4,32],[3,4,59],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,4)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (3,4)\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,29],[0,3,95],[0,4,12],[1,2,47],[1,3,77],[1,4,32],[3,4,59],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=4, w=4\",\"Add (0,4)=12, w=16\",\"Add (0,1)=29, w=45\",\"Add (1,2)=47, w=92\",\"Add (3,4)=59, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,29],[0,3,95],[0,4,12],[1,2,47],[1,3,77],[1,4,32],[3,4,59],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=4 Succeeded, w=4\",\"Add (0,4)=12 Succeeded, w=16\",\"Add (0,1)=29 Succeeded, w=45\",\"Add (1,4)=32 Failed, w=45\",\"Add (1,2)=47 Succeeded, w=92\",\"Add (3,4)=59 Succeeded, w=151\",\"Add (1,3)=77 Failed, w=151\",\"Add (0,3)=95 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,29],[0,3,95],[0,4,12],[1,2,47],[1,3,77],[1,4,32],[3,4,59],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=4,(0,4)=12,(0,1)=29,(1,4)=32,(1,2)=47,(3,4)=59,(1,3)=77,(0,3)=95]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=4 Succeeded, w=4\",\"Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=16\",\"Find(0)=4, Find(1)=1, Add (0,1)=29 Succeeded, w=45\",\"Find(1)=4, Find(4)=4, Add (1,4)=32 Failed, w=45\",\"Find(1)=4, Find(2)=2, Add (1,2)=47 Succeeded, w=92\",\"Find(3)=3, Find(4)=4, Add (3,4)=59 Succeeded, w=151\",\"Find(1)=4, Find(3)=4, Add (1,3)=77 Failed, w=151\",\"Find(0)=4, Find(3)=4, Add (0,3)=95 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,29],[0,3,95],[0,4,12],[1,2,47],[1,3,77],[1,4,32],[3,4,59],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=4,(0,4)=12,(0,1)=29,(1,4)=32,(1,2)=47,(3,4)=59,(1,3)=77,(0,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=4 Succeeded, w=4\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=16\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4}, Find(0)=4, Find(1)=1, Add (0,1)=29 Succeeded, w=45\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4}, Find(1)=4, Find(4)=4, Add (1,4)=32 Failed, w=45\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4}, Find(1)=4, Find(2)=2, Add (1,2)=47 Succeeded, w=92\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(3)=3, Find(4)=4, Add (3,4)=59 Succeeded, w=151\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(3)=4, Add (1,3)=77 Failed, w=151\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(3)=4, Add (0,3)=95 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.