Datasets:

xuan-luo
/

mst_cot

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Split (6)

train · 100k rows

graph stringlengths 50 311	messages_l0 listlengths 2 2	messages_l1 listlengths 2 2	messages_l2 listlengths 2 2	messages_l3 listlengths 2 2	messages_l4 listlengths 2 2	messages_l5 listlengths 2 2
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,42],[1,2,53],[1,3,34],[2,3,8]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[1,2,53],[1,3,34],[2,3,8]]}", "role": "user" }, { "content": "{\"Answer\":84}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[1,2,53],[1,3,34],[2,3,8]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":84}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[1,2,53],[1,3,34],[2,3,8]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=8, w=8\",\"Add (1,3)=34, w=42\",\"Add (0,1)=42, w=84\"],\"Answer\":84}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[1,2,53],[1,3,34],[2,3,8]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=8 Succeeded, w=8\",\"Add (1,3)=34 Succeeded, w=42\",\"Add (0,1)=42 Succeeded, w=84\",\"Add (1,2)=53 Failed, w=84\"],\"Answer\":84}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[1,2,53],[1,3,34],[2,3,8]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=8,(1,3)=34,(0,1)=42,(1,2)=53]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Find(1)=1, Find(3)=2, Add (1,3)=34 Succeeded, w=42\",\"Find(0)=0, Find(1)=2, Add (0,1)=42 Succeeded, w=84\",\"Find(1)=2, Find(2)=2, Add (1,2)=53 Failed, w=84\"],\"Answer\":84}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[1,2,53],[1,3,34],[2,3,8]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=8,(1,3)=34,(0,1)=42,(1,2)=53]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=34 Succeeded, w=42\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(1)=2, Add (0,1)=42 Succeeded, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=53 Failed, w=84\"],\"Answer\":84}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,34],[0,2,53],[0,4,36],[0,5,41],[1,3,24],[2,5,80],[2,7,41],[3,6,71],[3,7,40],[4,7,65],[5,6,27],[6,7,73]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,53],[0,4,36],[0,5,41],[1,3,24],[2,5,80],[2,7,41],[3,6,71],[3,7,40],[4,7,65],[5,6,27],[6,7,73]]}", "role": "user" }, { "content": "{\"Answer\":243}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,53],[0,4,36],[0,5,41],[1,3,24],[2,5,80],[2,7,41],[3,6,71],[3,7,40],[4,7,65],[5,6,27],[6,7,73]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (5,6)\",\"Add (0,1)\",\"Add (0,4)\",\"Add (3,7)\",\"Add (0,5)\",\"Add (2,7)\"],\"Answer\":243}", "role": "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],[0,2,53],[0,4,36],[0,5,41],[1,3,24],[2,5,80],[2,7,41],[3,6,71],[3,7,40],[4,7,65],[5,6,27],[6,7,73]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=24, w=24\",\"Add (5,6)=27, w=51\",\"Add (0,1)=34, w=85\",\"Add (0,4)=36, w=121\",\"Add (3,7)=40, w=161\",\"Add (0,5)=41, w=202\",\"Add (2,7)=41, w=243\"],\"Answer\":243}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,53],[0,4,36],[0,5,41],[1,3,24],[2,5,80],[2,7,41],[3,6,71],[3,7,40],[4,7,65],[5,6,27],[6,7,73]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=24 Succeeded, w=24\",\"Add (5,6)=27 Succeeded, w=51\",\"Add (0,1)=34 Succeeded, w=85\",\"Add (0,4)=36 Succeeded, w=121\",\"Add (3,7)=40 Succeeded, w=161\",\"Add (0,5)=41 Succeeded, w=202\",\"Add (2,7)=41 Succeeded, w=243\",\"Add (0,2)=53 Failed, w=243\",\"Add (4,7)=65 Failed, w=243\",\"Add (3,6)=71 Failed, w=243\",\"Add (6,7)=73 Failed, w=243\",\"Add (2,5)=80 Failed, w=243\"],\"Answer\":243}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,53],[0,4,36],[0,5,41],[1,3,24],[2,5,80],[2,7,41],[3,6,71],[3,7,40],[4,7,65],[5,6,27],[6,7,73]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=24,(5,6)=27,(0,1)=34,(0,4)=36,(3,7)=40,(0,5)=41,(2,7)=41,(0,2)=53,(4,7)=65,(3,6)=71,(6,7)=73,(2,5)=80]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=24\",\"Find(5)=5, Find(6)=6, Add (5,6)=27 Succeeded, w=51\",\"Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=85\",\"Find(0)=1, Find(4)=4, Add (0,4)=36 Succeeded, w=121\",\"Find(3)=1, Find(7)=7, Add (3,7)=40 Succeeded, w=161\",\"Find(0)=1, Find(5)=5, Add (0,5)=41 Succeeded, w=202\",\"Find(2)=2, Find(7)=1, Add (2,7)=41 Succeeded, w=243\",\"Find(0)=1, Find(2)=1, Add (0,2)=53 Failed, w=243\",\"Find(4)=1, Find(7)=1, Add (4,7)=65 Failed, w=243\",\"Find(3)=1, Find(6)=1, Add (3,6)=71 Failed, w=243\",\"Find(6)=1, Find(7)=1, Add (6,7)=73 Failed, w=243\",\"Find(2)=1, Find(5)=1, Add (2,5)=80 Failed, w=243\"],\"Answer\":243}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,53],[0,4,36],[0,5,41],[1,3,24],[2,5,80],[2,7,41],[3,6,71],[3,7,40],[4,7,65],[5,6,27],[6,7,73]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=24,(5,6)=27,(0,1)=34,(0,4)=36,(3,7)=40,(0,5)=41,(2,7)=41,(0,2)=53,(4,7)=65,(3,6)=71,(6,7)=73,(2,5)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=27 Succeeded, w=51\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 5, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=85\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 5, 7: 7}, Find(0)=1, Find(4)=4, Add (0,4)=36 Succeeded, w=121\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 5, 7: 1}, Find(3)=1, Find(7)=7, Add (3,7)=40 Succeeded, w=161\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 5, 7: 1}, Find(0)=1, Find(5)=5, Add (0,5)=41 Succeeded, w=202\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5, 7: 1}, Find(2)=2, Find(7)=1, Add (2,7)=41 Succeeded, w=243\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=53 Failed, w=243\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=65 Failed, w=243\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=71 Failed, w=243\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=73 Failed, w=243\",\"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)=80 Failed, w=243\"],\"Answer\":243}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,10],[1,2,96],[1,3,91]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,10],[1,2,96],[1,3,91]]}", "role": "user" }, { "content": "{\"Answer\":197}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,10],[1,2,96],[1,3,91]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":197}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,10],[1,2,96],[1,3,91]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=10, w=10\",\"Add (1,3)=91, w=101\",\"Add (1,2)=96, w=197\"],\"Answer\":197}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,10],[1,2,96],[1,3,91]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=10 Succeeded, w=10\",\"Add (1,3)=91 Succeeded, w=101\",\"Add (1,2)=96 Succeeded, w=197\"],\"Answer\":197}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,10],[1,2,96],[1,3,91]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=10,(1,3)=91,(1,2)=96]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Find(1)=1, Find(3)=0, Add (1,3)=91 Succeeded, w=101\",\"Find(1)=0, Find(2)=2, Add (1,2)=96 Succeeded, w=197\"],\"Answer\":197}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,10],[1,2,96],[1,3,91]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=10,(1,3)=91,(1,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=91 Succeeded, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=96 Succeeded, w=197\"],\"Answer\":197}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,4,25],[1,2,62],[1,3,35],[1,6,35],[1,7,64],[2,3,32],[2,5,14],[2,6,20],[3,4,85],[3,5,18],[3,6,4],[3,7,91],[4,5,5],[4,6,20],[4,7,95],[5,7,39]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,25],[1,2,62],[1,3,35],[1,6,35],[1,7,64],[2,3,32],[2,5,14],[2,6,20],[3,4,85],[3,5,18],[3,6,4],[3,7,91],[4,5,5],[4,6,20],[4,7,95],[5,7,39]]}", "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\":[[0,4,25],[1,2,62],[1,3,35],[1,6,35],[1,7,64],[2,3,32],[2,5,14],[2,6,20],[3,4,85],[3,5,18],[3,6,4],[3,7,91],[4,5,5],[4,6,20],[4,7,95],[5,7,39]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)\",\"Add (4,5)\",\"Add (2,5)\",\"Add (3,5)\",\"Add (0,4)\",\"Add (1,3)\",\"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\":[[0,4,25],[1,2,62],[1,3,35],[1,6,35],[1,7,64],[2,3,32],[2,5,14],[2,6,20],[3,4,85],[3,5,18],[3,6,4],[3,7,91],[4,5,5],[4,6,20],[4,7,95],[5,7,39]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)=4, w=4\",\"Add (4,5)=5, w=9\",\"Add (2,5)=14, w=23\",\"Add (3,5)=18, w=41\",\"Add (0,4)=25, w=66\",\"Add (1,3)=35, w=101\",\"Add (5,7)=39, 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\":[[0,4,25],[1,2,62],[1,3,35],[1,6,35],[1,7,64],[2,3,32],[2,5,14],[2,6,20],[3,4,85],[3,5,18],[3,6,4],[3,7,91],[4,5,5],[4,6,20],[4,7,95],[5,7,39]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)=4 Succeeded, w=4\",\"Add (4,5)=5 Succeeded, w=9\",\"Add (2,5)=14 Succeeded, w=23\",\"Add (3,5)=18 Succeeded, w=41\",\"Add (2,6)=20 Failed, w=41\",\"Add (4,6)=20 Failed, w=41\",\"Add (0,4)=25 Succeeded, w=66\",\"Add (2,3)=32 Failed, w=66\",\"Add (1,3)=35 Succeeded, w=101\",\"Add (1,6)=35 Failed, w=101\",\"Add (5,7)=39 Succeeded, w=140\",\"Add (1,2)=62 Failed, w=140\",\"Add (1,7)=64 Failed, w=140\",\"Add (3,4)=85 Failed, w=140\",\"Add (3,7)=91 Failed, w=140\",\"Add (4,7)=95 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\":[[0,4,25],[1,2,62],[1,3,35],[1,6,35],[1,7,64],[2,3,32],[2,5,14],[2,6,20],[3,4,85],[3,5,18],[3,6,4],[3,7,91],[4,5,5],[4,6,20],[4,7,95],[5,7,39]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,6)=4,(4,5)=5,(2,5)=14,(3,5)=18,(2,6)=20,(4,6)=20,(0,4)=25,(2,3)=32,(1,3)=35,(1,6)=35,(5,7)=39,(1,2)=62,(1,7)=64,(3,4)=85,(3,7)=91,(4,7)=95]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=4 Succeeded, w=4\",\"Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=9\",\"Find(2)=2, Find(5)=4, Add (2,5)=14 Succeeded, w=23\",\"Find(3)=3, Find(5)=4, Add (3,5)=18 Succeeded, w=41\",\"Find(2)=3, Find(6)=3, Add (2,6)=20 Failed, w=41\",\"Find(4)=3, Find(6)=3, Add (4,6)=20 Failed, w=41\",\"Find(0)=0, Find(4)=3, Add (0,4)=25 Succeeded, w=66\",\"Find(2)=3, Find(3)=3, Add (2,3)=32 Failed, w=66\",\"Find(1)=1, Find(3)=3, Add (1,3)=35 Succeeded, w=101\",\"Find(1)=3, Find(6)=3, Add (1,6)=35 Failed, w=101\",\"Find(5)=3, Find(7)=7, Add (5,7)=39 Succeeded, w=140\",\"Find(1)=3, Find(2)=3, Add (1,2)=62 Failed, w=140\",\"Find(1)=3, Find(7)=3, Add (1,7)=64 Failed, w=140\",\"Find(3)=3, Find(4)=3, Add (3,4)=85 Failed, w=140\",\"Find(3)=3, Find(7)=3, Add (3,7)=91 Failed, w=140\",\"Find(4)=3, Find(7)=3, Add (4,7)=95 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\":[[0,4,25],[1,2,62],[1,3,35],[1,6,35],[1,7,64],[2,3,32],[2,5,14],[2,6,20],[3,4,85],[3,5,18],[3,6,4],[3,7,91],[4,5,5],[4,6,20],[4,7,95],[5,7,39]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,6)=4,(4,5)=5,(2,5)=14,(3,5)=18,(2,6)=20,(4,6)=20,(0,4)=25,(2,3)=32,(1,3)=35,(1,6)=35,(5,7)=39,(1,2)=62,(1,7)=64,(3,4)=85,(3,7)=91,(4,7)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 3, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4, 6: 3, 7: 7}, Find(2)=2, Find(5)=4, Add (2,5)=14 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 3, 5: 4, 6: 3, 7: 7}, Find(3)=3, Find(5)=4, Add (3,5)=18 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 7}, Find(2)=3, Find(6)=3, Add (2,6)=20 Failed, w=41\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 7}, Find(4)=3, Find(6)=3, Add (4,6)=20 Failed, w=41\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 7}, Find(0)=0, Find(4)=3, Add (0,4)=25 Succeeded, w=66\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 7}, Find(2)=3, Find(3)=3, Add (2,3)=32 Failed, w=66\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=35 Succeeded, w=101\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 7}, Find(1)=3, Find(6)=3, Add (1,6)=35 Failed, w=101\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=7, Add (5,7)=39 Succeeded, w=140\",\"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)=62 Failed, w=140\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=64 Failed, w=140\",\"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)=85 Failed, w=140\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=91 Failed, w=140\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=95 Failed, w=140\"],\"Answer\":140}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,89],[0,2,42],[0,3,12],[0,4,59],[1,2,54],[1,3,97],[1,4,9],[3,4,55]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,42],[0,3,12],[0,4,59],[1,2,54],[1,3,97],[1,4,9],[3,4,55]]}", "role": "user" }, { "content": "{\"Answer\":117}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,42],[0,3,12],[0,4,59],[1,2,54],[1,3,97],[1,4,9],[3,4,55]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":117}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,42],[0,3,12],[0,4,59],[1,2,54],[1,3,97],[1,4,9],[3,4,55]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=9, w=9\",\"Add (0,3)=12, w=21\",\"Add (0,2)=42, w=63\",\"Add (1,2)=54, w=117\"],\"Answer\":117}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,42],[0,3,12],[0,4,59],[1,2,54],[1,3,97],[1,4,9],[3,4,55]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=9 Succeeded, w=9\",\"Add (0,3)=12 Succeeded, w=21\",\"Add (0,2)=42 Succeeded, w=63\",\"Add (1,2)=54 Succeeded, w=117\",\"Add (3,4)=55 Failed, w=117\",\"Add (0,4)=59 Failed, w=117\",\"Add (0,1)=89 Failed, w=117\",\"Add (1,3)=97 Failed, w=117\"],\"Answer\":117}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,42],[0,3,12],[0,4,59],[1,2,54],[1,3,97],[1,4,9],[3,4,55]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=9,(0,3)=12,(0,2)=42,(1,2)=54,(3,4)=55,(0,4)=59,(0,1)=89,(1,3)=97]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=9\",\"Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=21\",\"Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=63\",\"Find(1)=1, Find(2)=0, Add (1,2)=54 Succeeded, w=117\",\"Find(3)=1, Find(4)=1, Add (3,4)=55 Failed, w=117\",\"Find(0)=1, Find(4)=1, Add (0,4)=59 Failed, w=117\",\"Find(0)=1, Find(1)=1, Add (0,1)=89 Failed, w=117\",\"Find(1)=1, Find(3)=1, Add (1,3)=97 Failed, w=117\"],\"Answer\":117}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,42],[0,3,12],[0,4,59],[1,2,54],[1,3,97],[1,4,9],[3,4,55]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=9,(0,3)=12,(0,2)=42,(1,2)=54,(3,4)=55,(0,4)=59,(0,1)=89,(1,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1}, Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1}, Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=63\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 1}, Find(1)=1, Find(2)=0, Add (1,2)=54 Succeeded, w=117\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=55 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=59 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=89 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=97 Failed, w=117\"],\"Answer\":117}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,54],[0,2,58],[0,3,46],[2,3,49]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,58],[0,3,46],[2,3,49]]}", "role": "user" }, { "content": "{\"Answer\":149}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,58],[0,3,46],[2,3,49]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":149}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,58],[0,3,46],[2,3,49]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=46, w=46\",\"Add (2,3)=49, w=95\",\"Add (0,1)=54, w=149\"],\"Answer\":149}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,58],[0,3,46],[2,3,49]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=46 Succeeded, w=46\",\"Add (2,3)=49 Succeeded, w=95\",\"Add (0,1)=54 Succeeded, w=149\",\"Add (0,2)=58 Failed, w=149\"],\"Answer\":149}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,58],[0,3,46],[2,3,49]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=46,(2,3)=49,(0,1)=54,(0,2)=58]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=46 Succeeded, w=46\",\"Find(2)=2, Find(3)=0, Add (2,3)=49 Succeeded, w=95\",\"Find(0)=0, Find(1)=1, Add (0,1)=54 Succeeded, w=149\",\"Find(0)=0, Find(2)=0, Add (0,2)=58 Failed, w=149\"],\"Answer\":149}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,58],[0,3,46],[2,3,49]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=46,(2,3)=49,(0,1)=54,(0,2)=58]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=46 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=49 Succeeded, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=54 Succeeded, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=58 Failed, w=149\"],\"Answer\":149}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,95],[0,2,36],[0,3,47],[0,4,46],[0,5,7],[0,6,74],[1,2,3],[1,3,36],[1,4,13],[1,5,61],[1,6,79],[2,3,16],[2,4,96],[2,5,43],[2,6,17],[3,4,55],[3,5,23],[3,6,26],[4,6,63],[5,6,72]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,36],[0,3,47],[0,4,46],[0,5,7],[0,6,74],[1,2,3],[1,3,36],[1,4,13],[1,5,61],[1,6,79],[2,3,16],[2,4,96],[2,5,43],[2,6,17],[3,4,55],[3,5,23],[3,6,26],[4,6,63],[5,6,72]]}", "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\":[[0,1,95],[0,2,36],[0,3,47],[0,4,46],[0,5,7],[0,6,74],[1,2,3],[1,3,36],[1,4,13],[1,5,61],[1,6,79],[2,3,16],[2,4,96],[2,5,43],[2,6,17],[3,4,55],[3,5,23],[3,6,26],[4,6,63],[5,6,72]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (0,5)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (2,6)\",\"Add (3,5)\"],\"Answer\":79}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,36],[0,3,47],[0,4,46],[0,5,7],[0,6,74],[1,2,3],[1,3,36],[1,4,13],[1,5,61],[1,6,79],[2,3,16],[2,4,96],[2,5,43],[2,6,17],[3,4,55],[3,5,23],[3,6,26],[4,6,63],[5,6,72]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (0,5)=7, w=10\",\"Add (1,4)=13, w=23\",\"Add (2,3)=16, w=39\",\"Add (2,6)=17, w=56\",\"Add (3,5)=23, 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\":[[0,1,95],[0,2,36],[0,3,47],[0,4,46],[0,5,7],[0,6,74],[1,2,3],[1,3,36],[1,4,13],[1,5,61],[1,6,79],[2,3,16],[2,4,96],[2,5,43],[2,6,17],[3,4,55],[3,5,23],[3,6,26],[4,6,63],[5,6,72]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (0,5)=7 Succeeded, w=10\",\"Add (1,4)=13 Succeeded, w=23\",\"Add (2,3)=16 Succeeded, w=39\",\"Add (2,6)=17 Succeeded, w=56\",\"Add (3,5)=23 Succeeded, w=79\",\"Add (3,6)=26 Failed, w=79\",\"Add (0,2)=36 Failed, w=79\",\"Add (1,3)=36 Failed, w=79\",\"Add (2,5)=43 Failed, w=79\",\"Add (0,4)=46 Failed, w=79\",\"Add (0,3)=47 Failed, w=79\",\"Add (3,4)=55 Failed, w=79\",\"Add (1,5)=61 Failed, w=79\",\"Add (4,6)=63 Failed, w=79\",\"Add (5,6)=72 Failed, w=79\",\"Add (0,6)=74 Failed, w=79\",\"Add (1,6)=79 Failed, w=79\",\"Add (0,1)=95 Failed, w=79\",\"Add (2,4)=96 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\":[[0,1,95],[0,2,36],[0,3,47],[0,4,46],[0,5,7],[0,6,74],[1,2,3],[1,3,36],[1,4,13],[1,5,61],[1,6,79],[2,3,16],[2,4,96],[2,5,43],[2,6,17],[3,4,55],[3,5,23],[3,6,26],[4,6,63],[5,6,72]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=3,(0,5)=7,(1,4)=13,(2,3)=16,(2,6)=17,(3,5)=23,(3,6)=26,(0,2)=36,(1,3)=36,(2,5)=43,(0,4)=46,(0,3)=47,(3,4)=55,(1,5)=61,(4,6)=63,(5,6)=72,(0,6)=74,(1,6)=79,(0,1)=95,(2,4)=96]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=10\",\"Find(1)=1, Find(4)=4, Add (1,4)=13 Succeeded, w=23\",\"Find(2)=1, Find(3)=3, Add (2,3)=16 Succeeded, w=39\",\"Find(2)=1, Find(6)=6, Add (2,6)=17 Succeeded, w=56\",\"Find(3)=1, Find(5)=0, Add (3,5)=23 Succeeded, w=79\",\"Find(3)=1, Find(6)=1, Add (3,6)=26 Failed, w=79\",\"Find(0)=1, Find(2)=1, Add (0,2)=36 Failed, w=79\",\"Find(1)=1, Find(3)=1, Add (1,3)=36 Failed, w=79\",\"Find(2)=1, Find(5)=1, Add (2,5)=43 Failed, w=79\",\"Find(0)=1, Find(4)=1, Add (0,4)=46 Failed, w=79\",\"Find(0)=1, Find(3)=1, Add (0,3)=47 Failed, w=79\",\"Find(3)=1, Find(4)=1, Add (3,4)=55 Failed, w=79\",\"Find(1)=1, Find(5)=1, Add (1,5)=61 Failed, w=79\",\"Find(4)=1, Find(6)=1, Add (4,6)=63 Failed, w=79\",\"Find(5)=1, Find(6)=1, Add (5,6)=72 Failed, w=79\",\"Find(0)=1, Find(6)=1, Add (0,6)=74 Failed, w=79\",\"Find(1)=1, Find(6)=1, Add (1,6)=79 Failed, w=79\",\"Find(0)=1, Find(1)=1, Add (0,1)=95 Failed, w=79\",\"Find(2)=1, Find(4)=1, Add (2,4)=96 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\":[[0,1,95],[0,2,36],[0,3,47],[0,4,46],[0,5,7],[0,6,74],[1,2,3],[1,3,36],[1,4,13],[1,5,61],[1,6,79],[2,3,16],[2,4,96],[2,5,43],[2,6,17],[3,4,55],[3,5,23],[3,6,26],[4,6,63],[5,6,72]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=3,(0,5)=7,(1,4)=13,(2,3)=16,(2,6)=17,(3,5)=23,(3,6)=26,(0,2)=36,(1,3)=36,(2,5)=43,(0,4)=46,(0,3)=47,(3,4)=55,(1,5)=61,(4,6)=63,(5,6)=72,(0,6)=74,(1,6)=79,(0,1)=95,(2,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 0, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=13 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 6}, Find(2)=1, Find(3)=3, Add (2,3)=16 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(2)=1, Find(6)=6, Add (2,6)=17 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(3)=1, Find(5)=0, Add (3,5)=23 Succeeded, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=26 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=36 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=36 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=43 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=46 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=47 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=55 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=61 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=63 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=72 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=74 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=79 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=95 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=96 Failed, w=79\"],\"Answer\":79}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,64],[0,2,41],[0,3,22],[0,4,65],[0,5,5],[0,6,79],[1,2,99],[1,3,53],[1,4,85],[1,5,67],[1,6,34],[2,3,93],[2,4,57],[2,5,54],[2,6,68],[3,4,92],[3,5,91],[4,5,93],[4,6,44],[5,6,90]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,41],[0,3,22],[0,4,65],[0,5,5],[0,6,79],[1,2,99],[1,3,53],[1,4,85],[1,5,67],[1,6,34],[2,3,93],[2,4,57],[2,5,54],[2,6,68],[3,4,92],[3,5,91],[4,5,93],[4,6,44],[5,6,90]]}", "role": "user" }, { "content": "{\"Answer\":199}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,41],[0,3,22],[0,4,65],[0,5,5],[0,6,79],[1,2,99],[1,3,53],[1,4,85],[1,5,67],[1,6,34],[2,3,93],[2,4,57],[2,5,54],[2,6,68],[3,4,92],[3,5,91],[4,5,93],[4,6,44],[5,6,90]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)\",\"Add (0,3)\",\"Add (1,6)\",\"Add (0,2)\",\"Add (4,6)\",\"Add (1,3)\"],\"Answer\":199}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,41],[0,3,22],[0,4,65],[0,5,5],[0,6,79],[1,2,99],[1,3,53],[1,4,85],[1,5,67],[1,6,34],[2,3,93],[2,4,57],[2,5,54],[2,6,68],[3,4,92],[3,5,91],[4,5,93],[4,6,44],[5,6,90]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)=5, w=5\",\"Add (0,3)=22, w=27\",\"Add (1,6)=34, w=61\",\"Add (0,2)=41, w=102\",\"Add (4,6)=44, w=146\",\"Add (1,3)=53, w=199\"],\"Answer\":199}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,41],[0,3,22],[0,4,65],[0,5,5],[0,6,79],[1,2,99],[1,3,53],[1,4,85],[1,5,67],[1,6,34],[2,3,93],[2,4,57],[2,5,54],[2,6,68],[3,4,92],[3,5,91],[4,5,93],[4,6,44],[5,6,90]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)=5 Succeeded, w=5\",\"Add (0,3)=22 Succeeded, w=27\",\"Add (1,6)=34 Succeeded, w=61\",\"Add (0,2)=41 Succeeded, w=102\",\"Add (4,6)=44 Succeeded, w=146\",\"Add (1,3)=53 Succeeded, w=199\",\"Add (2,5)=54 Failed, w=199\",\"Add (2,4)=57 Failed, w=199\",\"Add (0,1)=64 Failed, w=199\",\"Add (0,4)=65 Failed, w=199\",\"Add (1,5)=67 Failed, w=199\",\"Add (2,6)=68 Failed, w=199\",\"Add (0,6)=79 Failed, w=199\",\"Add (1,4)=85 Failed, w=199\",\"Add (5,6)=90 Failed, w=199\",\"Add (3,5)=91 Failed, w=199\",\"Add (3,4)=92 Failed, w=199\",\"Add (2,3)=93 Failed, w=199\",\"Add (4,5)=93 Failed, w=199\",\"Add (1,2)=99 Failed, w=199\"],\"Answer\":199}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,41],[0,3,22],[0,4,65],[0,5,5],[0,6,79],[1,2,99],[1,3,53],[1,4,85],[1,5,67],[1,6,34],[2,3,93],[2,4,57],[2,5,54],[2,6,68],[3,4,92],[3,5,91],[4,5,93],[4,6,44],[5,6,90]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,5)=5,(0,3)=22,(1,6)=34,(0,2)=41,(4,6)=44,(1,3)=53,(2,5)=54,(2,4)=57,(0,1)=64,(0,4)=65,(1,5)=67,(2,6)=68,(0,6)=79,(1,4)=85,(5,6)=90,(3,5)=91,(3,4)=92,(2,3)=93,(4,5)=93,(1,2)=99]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=5\",\"Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=27\",\"Find(1)=1, Find(6)=6, Add (1,6)=34 Succeeded, w=61\",\"Find(0)=0, Find(2)=2, Add (0,2)=41 Succeeded, w=102\",\"Find(4)=4, Find(6)=1, Add (4,6)=44 Succeeded, w=146\",\"Find(1)=1, Find(3)=0, Add (1,3)=53 Succeeded, w=199\",\"Find(2)=1, Find(5)=1, Add (2,5)=54 Failed, w=199\",\"Find(2)=1, Find(4)=1, Add (2,4)=57 Failed, w=199\",\"Find(0)=1, Find(1)=1, Add (0,1)=64 Failed, w=199\",\"Find(0)=1, Find(4)=1, Add (0,4)=65 Failed, w=199\",\"Find(1)=1, Find(5)=1, Add (1,5)=67 Failed, w=199\",\"Find(2)=1, Find(6)=1, Add (2,6)=68 Failed, w=199\",\"Find(0)=1, Find(6)=1, Add (0,6)=79 Failed, w=199\",\"Find(1)=1, Find(4)=1, Add (1,4)=85 Failed, w=199\",\"Find(5)=1, Find(6)=1, Add (5,6)=90 Failed, w=199\",\"Find(3)=1, Find(5)=1, Add (3,5)=91 Failed, w=199\",\"Find(3)=1, Find(4)=1, Add (3,4)=92 Failed, w=199\",\"Find(2)=1, Find(3)=1, Add (2,3)=93 Failed, w=199\",\"Find(4)=1, Find(5)=1, Add (4,5)=93 Failed, w=199\",\"Find(1)=1, Find(2)=1, Add (1,2)=99 Failed, w=199\"],\"Answer\":199}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,41],[0,3,22],[0,4,65],[0,5,5],[0,6,79],[1,2,99],[1,3,53],[1,4,85],[1,5,67],[1,6,34],[2,3,93],[2,4,57],[2,5,54],[2,6,68],[3,4,92],[3,5,91],[4,5,93],[4,6,44],[5,6,90]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,5)=5,(0,3)=22,(1,6)=34,(0,2)=41,(4,6)=44,(1,3)=53,(2,5)=54,(2,4)=57,(0,1)=64,(0,4)=65,(1,5)=67,(2,6)=68,(0,6)=79,(1,4)=85,(5,6)=90,(3,5)=91,(3,4)=92,(2,3)=93,(4,5)=93,(1,2)=99]\",\"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(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=34 Succeeded, w=61\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 1}, Find(0)=0, Find(2)=2, Add (0,2)=41 Succeeded, w=102\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 0, 6: 1}, Find(4)=4, Find(6)=1, Add (4,6)=44 Succeeded, w=146\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 1, 5: 0, 6: 1}, Find(1)=1, Find(3)=0, Add (1,3)=53 Succeeded, w=199\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=54 Failed, w=199\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=57 Failed, w=199\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=64 Failed, w=199\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=65 Failed, w=199\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=67 Failed, w=199\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=68 Failed, w=199\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=79 Failed, w=199\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=85 Failed, w=199\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=90 Failed, w=199\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=91 Failed, w=199\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=92 Failed, w=199\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=93 Failed, w=199\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=93 Failed, w=199\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=99 Failed, w=199\"],\"Answer\":199}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,41],[0,2,70],[1,2,52],[1,3,75],[2,3,46],[2,4,27],[3,4,51]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,70],[1,2,52],[1,3,75],[2,3,46],[2,4,27],[3,4,51]]}", "role": "user" }, { "content": "{\"Answer\":166}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,70],[1,2,52],[1,3,75],[2,3,46],[2,4,27],[3,4,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":166}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,70],[1,2,52],[1,3,75],[2,3,46],[2,4,27],[3,4,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=27, w=27\",\"Add (0,1)=41, w=68\",\"Add (2,3)=46, w=114\",\"Add (1,2)=52, w=166\"],\"Answer\":166}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,70],[1,2,52],[1,3,75],[2,3,46],[2,4,27],[3,4,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=27 Succeeded, w=27\",\"Add (0,1)=41 Succeeded, w=68\",\"Add (2,3)=46 Succeeded, w=114\",\"Add (3,4)=51 Failed, w=114\",\"Add (1,2)=52 Succeeded, w=166\",\"Add (0,2)=70 Failed, w=166\",\"Add (1,3)=75 Failed, w=166\"],\"Answer\":166}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,70],[1,2,52],[1,3,75],[2,3,46],[2,4,27],[3,4,51]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=27,(0,1)=41,(2,3)=46,(3,4)=51,(1,2)=52,(0,2)=70,(1,3)=75]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=27 Succeeded, w=27\",\"Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=68\",\"Find(2)=2, Find(3)=3, Add (2,3)=46 Succeeded, w=114\",\"Find(3)=2, Find(4)=2, Add (3,4)=51 Failed, w=114\",\"Find(1)=0, Find(2)=2, Add (1,2)=52 Succeeded, w=166\",\"Find(0)=0, Find(2)=0, Add (0,2)=70 Failed, w=166\",\"Find(1)=0, Find(3)=0, Add (1,3)=75 Failed, w=166\"],\"Answer\":166}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,70],[1,2,52],[1,3,75],[2,3,46],[2,4,27],[3,4,51]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=27,(0,1)=41,(2,3)=46,(3,4)=51,(1,2)=52,(0,2)=70,(1,3)=75]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=3, Add (2,3)=46 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=51 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2}, Find(1)=0, Find(2)=2, Add (1,2)=52 Succeeded, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2}, Find(0)=0, Find(2)=0, Add (0,2)=70 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(3)=0, Add (1,3)=75 Failed, w=166\"],\"Answer\":166}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,34],[0,2,5],[0,3,25],[0,4,33],[1,2,26],[1,4,97],[2,3,7],[2,4,36],[3,4,1]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,5],[0,3,25],[0,4,33],[1,2,26],[1,4,97],[2,3,7],[2,4,36],[3,4,1]]}", "role": "user" }, { "content": "{\"Answer\":39}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,5],[0,3,25],[0,4,33],[1,2,26],[1,4,97],[2,3,7],[2,4,36],[3,4,1]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)\",\"Add (0,2)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":39}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,5],[0,3,25],[0,4,33],[1,2,26],[1,4,97],[2,3,7],[2,4,36],[3,4,1]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=1, w=1\",\"Add (0,2)=5, w=6\",\"Add (2,3)=7, w=13\",\"Add (1,2)=26, w=39\"],\"Answer\":39}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,5],[0,3,25],[0,4,33],[1,2,26],[1,4,97],[2,3,7],[2,4,36],[3,4,1]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=1 Succeeded, w=1\",\"Add (0,2)=5 Succeeded, w=6\",\"Add (2,3)=7 Succeeded, w=13\",\"Add (0,3)=25 Failed, w=13\",\"Add (1,2)=26 Succeeded, w=39\",\"Add (0,4)=33 Failed, w=39\",\"Add (0,1)=34 Failed, w=39\",\"Add (2,4)=36 Failed, w=39\",\"Add (1,4)=97 Failed, w=39\"],\"Answer\":39}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,5],[0,3,25],[0,4,33],[1,2,26],[1,4,97],[2,3,7],[2,4,36],[3,4,1]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=1,(0,2)=5,(2,3)=7,(0,3)=25,(1,2)=26,(0,4)=33,(0,1)=34,(2,4)=36,(1,4)=97]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=6\",\"Find(2)=0, Find(3)=3, Add (2,3)=7 Succeeded, w=13\",\"Find(0)=0, Find(3)=0, Add (0,3)=25 Failed, w=13\",\"Find(1)=1, Find(2)=0, Add (1,2)=26 Succeeded, w=39\",\"Find(0)=0, Find(4)=0, Add (0,4)=33 Failed, w=39\",\"Find(0)=0, Find(1)=0, Add (0,1)=34 Failed, w=39\",\"Find(2)=0, Find(4)=0, Add (2,4)=36 Failed, w=39\",\"Find(1)=0, Find(4)=0, Add (1,4)=97 Failed, w=39\"],\"Answer\":39}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,5],[0,3,25],[0,4,33],[1,2,26],[1,4,97],[2,3,7],[2,4,36],[3,4,1]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=1,(0,2)=5,(2,3)=7,(0,3)=25,(1,2)=26,(0,4)=33,(0,1)=34,(2,4)=36,(1,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3}, Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(3)=3, Add (2,3)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(3)=0, Add (0,3)=25 Failed, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=1, Find(2)=0, Add (1,2)=26 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=33 Failed, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=34 Failed, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=36 Failed, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=97 Failed, w=39\"],\"Answer\":39}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,84],[0,2,28],[0,4,11],[1,2,19],[1,3,62],[1,4,59],[2,3,49],[2,4,94],[3,4,82]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,84],[0,2,28],[0,4,11],[1,2,19],[1,3,62],[1,4,59],[2,3,49],[2,4,94],[3,4,82]]}", "role": "user" }, { "content": "{\"Answer\":107}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,84],[0,2,28],[0,4,11],[1,2,19],[1,3,62],[1,4,59],[2,3,49],[2,4,94],[3,4,82]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)\",\"Add (1,2)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":107}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,84],[0,2,28],[0,4,11],[1,2,19],[1,3,62],[1,4,59],[2,3,49],[2,4,94],[3,4,82]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)=11, w=11\",\"Add (1,2)=19, w=30\",\"Add (0,2)=28, w=58\",\"Add (2,3)=49, w=107\"],\"Answer\":107}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,84],[0,2,28],[0,4,11],[1,2,19],[1,3,62],[1,4,59],[2,3,49],[2,4,94],[3,4,82]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)=11 Succeeded, w=11\",\"Add (1,2)=19 Succeeded, w=30\",\"Add (0,2)=28 Succeeded, w=58\",\"Add (2,3)=49 Succeeded, w=107\",\"Add (1,4)=59 Failed, w=107\",\"Add (1,3)=62 Failed, w=107\",\"Add (3,4)=82 Failed, w=107\",\"Add (0,1)=84 Failed, w=107\",\"Add (2,4)=94 Failed, w=107\"],\"Answer\":107}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,84],[0,2,28],[0,4,11],[1,2,19],[1,3,62],[1,4,59],[2,3,49],[2,4,94],[3,4,82]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,4)=11,(1,2)=19,(0,2)=28,(2,3)=49,(1,4)=59,(1,3)=62,(3,4)=82,(0,1)=84,(2,4)=94]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=11\",\"Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=30\",\"Find(0)=0, Find(2)=1, Add (0,2)=28 Succeeded, w=58\",\"Find(2)=0, Find(3)=3, Add (2,3)=49 Succeeded, w=107\",\"Find(1)=0, Find(4)=0, Add (1,4)=59 Failed, w=107\",\"Find(1)=0, Find(3)=0, Add (1,3)=62 Failed, w=107\",\"Find(3)=0, Find(4)=0, Add (3,4)=82 Failed, w=107\",\"Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=107\",\"Find(2)=0, Find(4)=0, Add (2,4)=94 Failed, w=107\"],\"Answer\":107}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,84],[0,2,28],[0,4,11],[1,2,19],[1,3,62],[1,4,59],[2,3,49],[2,4,94],[3,4,82]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,4)=11,(1,2)=19,(0,2)=28,(2,3)=49,(1,4)=59,(1,3)=62,(3,4)=82,(0,1)=84,(2,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0}, Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 3, 4: 0}, Find(0)=0, Find(2)=1, Add (0,2)=28 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=3, Add (2,3)=49 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=59 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=62 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=82 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=94 Failed, w=107\"],\"Answer\":107}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,94],[0,2,98],[1,4,15],[2,4,7],[3,4,73]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,98],[1,4,15],[2,4,7],[3,4,73]]}", "role": "user" }, { "content": "{\"Answer\":189}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,98],[1,4,15],[2,4,7],[3,4,73]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)\",\"Add (1,4)\",\"Add (3,4)\",\"Add (0,1)\"],\"Answer\":189}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,98],[1,4,15],[2,4,7],[3,4,73]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=7, w=7\",\"Add (1,4)=15, w=22\",\"Add (3,4)=73, w=95\",\"Add (0,1)=94, w=189\"],\"Answer\":189}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,98],[1,4,15],[2,4,7],[3,4,73]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=7 Succeeded, w=7\",\"Add (1,4)=15 Succeeded, w=22\",\"Add (3,4)=73 Succeeded, w=95\",\"Add (0,1)=94 Succeeded, w=189\",\"Add (0,2)=98 Failed, w=189\"],\"Answer\":189}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,98],[1,4,15],[2,4,7],[3,4,73]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=7,(1,4)=15,(3,4)=73,(0,1)=94,(0,2)=98]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=7 Succeeded, w=7\",\"Find(1)=1, Find(4)=2, Add (1,4)=15 Succeeded, w=22\",\"Find(3)=3, Find(4)=2, Add (3,4)=73 Succeeded, w=95\",\"Find(0)=0, Find(1)=2, Add (0,1)=94 Succeeded, w=189\",\"Find(0)=2, Find(2)=2, Add (0,2)=98 Failed, w=189\"],\"Answer\":189}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,98],[1,4,15],[2,4,7],[3,4,73]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=7,(1,4)=15,(3,4)=73,(0,1)=94,(0,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=15 Succeeded, w=22\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=3, Find(4)=2, Add (3,4)=73 Succeeded, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(1)=2, Add (0,1)=94 Succeeded, w=189\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=98 Failed, w=189\"],\"Answer\":189}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,74],[0,2,53],[0,3,51],[0,4,28],[1,2,95],[1,3,27],[1,4,20],[2,4,84],[3,4,33]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,53],[0,3,51],[0,4,28],[1,2,95],[1,3,27],[1,4,20],[2,4,84],[3,4,33]]}", "role": "user" }, { "content": "{\"Answer\":128}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,53],[0,3,51],[0,4,28],[1,2,95],[1,3,27],[1,4,20],[2,4,84],[3,4,33]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)\",\"Add (1,3)\",\"Add (0,4)\",\"Add (0,2)\"],\"Answer\":128}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,53],[0,3,51],[0,4,28],[1,2,95],[1,3,27],[1,4,20],[2,4,84],[3,4,33]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=20, w=20\",\"Add (1,3)=27, w=47\",\"Add (0,4)=28, w=75\",\"Add (0,2)=53, w=128\"],\"Answer\":128}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,53],[0,3,51],[0,4,28],[1,2,95],[1,3,27],[1,4,20],[2,4,84],[3,4,33]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=20 Succeeded, w=20\",\"Add (1,3)=27 Succeeded, w=47\",\"Add (0,4)=28 Succeeded, w=75\",\"Add (3,4)=33 Failed, w=75\",\"Add (0,3)=51 Failed, w=75\",\"Add (0,2)=53 Succeeded, w=128\",\"Add (0,1)=74 Failed, w=128\",\"Add (2,4)=84 Failed, w=128\",\"Add (1,2)=95 Failed, w=128\"],\"Answer\":128}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,53],[0,3,51],[0,4,28],[1,2,95],[1,3,27],[1,4,20],[2,4,84],[3,4,33]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=20,(1,3)=27,(0,4)=28,(3,4)=33,(0,3)=51,(0,2)=53,(0,1)=74,(2,4)=84,(1,2)=95]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=20\",\"Find(1)=1, Find(3)=3, Add (1,3)=27 Succeeded, w=47\",\"Find(0)=0, Find(4)=1, Add (0,4)=28 Succeeded, w=75\",\"Find(3)=1, Find(4)=1, Add (3,4)=33 Failed, w=75\",\"Find(0)=1, Find(3)=1, Add (0,3)=51 Failed, w=75\",\"Find(0)=1, Find(2)=2, Add (0,2)=53 Succeeded, w=128\",\"Find(0)=1, Find(1)=1, Add (0,1)=74 Failed, w=128\",\"Find(2)=1, Find(4)=1, Add (2,4)=84 Failed, w=128\",\"Find(1)=1, Find(2)=1, Add (1,2)=95 Failed, w=128\"],\"Answer\":128}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,53],[0,3,51],[0,4,28],[1,2,95],[1,3,27],[1,4,20],[2,4,84],[3,4,33]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=20,(1,3)=27,(0,4)=28,(3,4)=33,(0,3)=51,(0,2)=53,(0,1)=74,(2,4)=84,(1,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(3)=3, Add (1,3)=27 Succeeded, w=47\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=28 Succeeded, w=75\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=33 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=51 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=2, Add (0,2)=53 Succeeded, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=74 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=84 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=95 Failed, w=128\"],\"Answer\":128}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,12],[0,2,74],[0,3,22],[0,4,77],[0,6,64],[0,7,60],[1,4,70],[1,5,65],[1,6,4],[1,7,39],[2,3,84],[2,4,45],[2,6,33],[2,7,29],[3,5,60],[3,7,47],[4,5,51],[4,6,44],[4,7,54],[5,6,58],[5,7,44],[6,7,29]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,74],[0,3,22],[0,4,77],[0,6,64],[0,7,60],[1,4,70],[1,5,65],[1,6,4],[1,7,39],[2,3,84],[2,4,45],[2,6,33],[2,7,29],[3,5,60],[3,7,47],[4,5,51],[4,6,44],[4,7,54],[5,6,58],[5,7,44],[6,7,29]]}", "role": "user" }, { "content": "{\"Answer\":184}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,74],[0,3,22],[0,4,77],[0,6,64],[0,7,60],[1,4,70],[1,5,65],[1,6,4],[1,7,39],[2,3,84],[2,4,45],[2,6,33],[2,7,29],[3,5,60],[3,7,47],[4,5,51],[4,6,44],[4,7,54],[5,6,58],[5,7,44],[6,7,29]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,6)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (2,7)\",\"Add (6,7)\",\"Add (4,6)\",\"Add (5,7)\"],\"Answer\":184}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,74],[0,3,22],[0,4,77],[0,6,64],[0,7,60],[1,4,70],[1,5,65],[1,6,4],[1,7,39],[2,3,84],[2,4,45],[2,6,33],[2,7,29],[3,5,60],[3,7,47],[4,5,51],[4,6,44],[4,7,54],[5,6,58],[5,7,44],[6,7,29]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,6)=4, w=4\",\"Add (0,1)=12, w=16\",\"Add (0,3)=22, w=38\",\"Add (2,7)=29, w=67\",\"Add (6,7)=29, w=96\",\"Add (4,6)=44, w=140\",\"Add (5,7)=44, w=184\"],\"Answer\":184}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,74],[0,3,22],[0,4,77],[0,6,64],[0,7,60],[1,4,70],[1,5,65],[1,6,4],[1,7,39],[2,3,84],[2,4,45],[2,6,33],[2,7,29],[3,5,60],[3,7,47],[4,5,51],[4,6,44],[4,7,54],[5,6,58],[5,7,44],[6,7,29]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,6)=4 Succeeded, w=4\",\"Add (0,1)=12 Succeeded, w=16\",\"Add (0,3)=22 Succeeded, w=38\",\"Add (2,7)=29 Succeeded, w=67\",\"Add (6,7)=29 Succeeded, w=96\",\"Add (2,6)=33 Failed, w=96\",\"Add (1,7)=39 Failed, w=96\",\"Add (4,6)=44 Succeeded, w=140\",\"Add (5,7)=44 Succeeded, w=184\",\"Add (2,4)=45 Failed, w=184\",\"Add (3,7)=47 Failed, w=184\",\"Add (4,5)=51 Failed, w=184\",\"Add (4,7)=54 Failed, w=184\",\"Add (5,6)=58 Failed, w=184\",\"Add (0,7)=60 Failed, w=184\",\"Add (3,5)=60 Failed, w=184\",\"Add (0,6)=64 Failed, w=184\",\"Add (1,5)=65 Failed, w=184\",\"Add (1,4)=70 Failed, w=184\",\"Add (0,2)=74 Failed, w=184\",\"Add (0,4)=77 Failed, w=184\",\"Add (2,3)=84 Failed, w=184\"],\"Answer\":184}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,74],[0,3,22],[0,4,77],[0,6,64],[0,7,60],[1,4,70],[1,5,65],[1,6,4],[1,7,39],[2,3,84],[2,4,45],[2,6,33],[2,7,29],[3,5,60],[3,7,47],[4,5,51],[4,6,44],[4,7,54],[5,6,58],[5,7,44],[6,7,29]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,6)=4,(0,1)=12,(0,3)=22,(2,7)=29,(6,7)=29,(2,6)=33,(1,7)=39,(4,6)=44,(5,7)=44,(2,4)=45,(3,7)=47,(4,5)=51,(4,7)=54,(5,6)=58,(0,7)=60,(3,5)=60,(0,6)=64,(1,5)=65,(1,4)=70,(0,2)=74,(0,4)=77,(2,3)=84]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=4 Succeeded, w=4\",\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=16\",\"Find(0)=1, Find(3)=3, Add (0,3)=22 Succeeded, w=38\",\"Find(2)=2, Find(7)=7, Add (2,7)=29 Succeeded, w=67\",\"Find(6)=1, Find(7)=2, Add (6,7)=29 Succeeded, w=96\",\"Find(2)=1, Find(6)=1, Add (2,6)=33 Failed, w=96\",\"Find(1)=1, Find(7)=1, Add (1,7)=39 Failed, w=96\",\"Find(4)=4, Find(6)=1, Add (4,6)=44 Succeeded, w=140\",\"Find(5)=5, Find(7)=1, Add (5,7)=44 Succeeded, w=184\",\"Find(2)=1, Find(4)=1, Add (2,4)=45 Failed, w=184\",\"Find(3)=1, Find(7)=1, Add (3,7)=47 Failed, w=184\",\"Find(4)=1, Find(5)=1, Add (4,5)=51 Failed, w=184\",\"Find(4)=1, Find(7)=1, Add (4,7)=54 Failed, w=184\",\"Find(5)=1, Find(6)=1, Add (5,6)=58 Failed, w=184\",\"Find(0)=1, Find(7)=1, Add (0,7)=60 Failed, w=184\",\"Find(3)=1, Find(5)=1, Add (3,5)=60 Failed, w=184\",\"Find(0)=1, Find(6)=1, Add (0,6)=64 Failed, w=184\",\"Find(1)=1, Find(5)=1, Add (1,5)=65 Failed, w=184\",\"Find(1)=1, Find(4)=1, Add (1,4)=70 Failed, w=184\",\"Find(0)=1, Find(2)=1, Add (0,2)=74 Failed, w=184\",\"Find(0)=1, Find(4)=1, Add (0,4)=77 Failed, w=184\",\"Find(2)=1, Find(3)=1, Add (2,3)=84 Failed, w=184\"],\"Answer\":184}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,74],[0,3,22],[0,4,77],[0,6,64],[0,7,60],[1,4,70],[1,5,65],[1,6,4],[1,7,39],[2,3,84],[2,4,45],[2,6,33],[2,7,29],[3,5,60],[3,7,47],[4,5,51],[4,6,44],[4,7,54],[5,6,58],[5,7,44],[6,7,29]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,6)=4,(0,1)=12,(0,3)=22,(2,7)=29,(6,7)=29,(2,6)=33,(1,7)=39,(4,6)=44,(5,7)=44,(2,4)=45,(3,7)=47,(4,5)=51,(4,7)=54,(5,6)=58,(0,7)=60,(3,5)=60,(0,6)=64,(1,5)=65,(1,4)=70,(0,2)=74,(0,4)=77,(2,3)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=4 Succeeded, w=4\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=16\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 1, 7: 7}, Find(0)=1, Find(3)=3, Add (0,3)=22 Succeeded, w=38\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 1, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=29 Succeeded, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 1, 7: 2}, Find(6)=1, Find(7)=2, Add (6,7)=29 Succeeded, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 1, 7: 2}, Find(2)=1, Find(6)=1, Add (2,6)=33 Failed, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=39 Failed, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 1}, Find(4)=4, Find(6)=1, Add (4,6)=44 Succeeded, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=5, Find(7)=1, Add (5,7)=44 Succeeded, w=184\",\"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)=45 Failed, w=184\",\"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)=47 Failed, w=184\",\"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)=51 Failed, w=184\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=54 Failed, w=184\",\"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)=58 Failed, w=184\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=60 Failed, w=184\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=60 Failed, w=184\",\"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)=64 Failed, w=184\",\"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)=65 Failed, w=184\",\"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)=70 Failed, w=184\",\"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)=74 Failed, w=184\",\"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)=77 Failed, w=184\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=84 Failed, w=184\"],\"Answer\":184}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,66],[0,2,62],[0,3,62],[0,4,63],[0,5,68],[0,6,54],[1,2,82],[1,3,93],[1,4,13],[1,5,75],[1,6,97],[2,3,28],[2,4,38],[2,5,0],[2,6,97],[3,4,26],[3,5,22],[3,6,62],[4,5,50],[4,6,16]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,66],[0,2,62],[0,3,62],[0,4,63],[0,5,68],[0,6,54],[1,2,82],[1,3,93],[1,4,13],[1,5,75],[1,6,97],[2,3,28],[2,4,38],[2,5,0],[2,6,97],[3,4,26],[3,5,22],[3,6,62],[4,5,50],[4,6,16]]}", "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],\"edges\":[[0,1,66],[0,2,62],[0,3,62],[0,4,63],[0,5,68],[0,6,54],[1,2,82],[1,3,93],[1,4,13],[1,5,75],[1,6,97],[2,3,28],[2,4,38],[2,5,0],[2,6,97],[3,4,26],[3,5,22],[3,6,62],[4,5,50],[4,6,16]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)\",\"Add (1,4)\",\"Add (4,6)\",\"Add (3,5)\",\"Add (3,4)\",\"Add (0,6)\"],\"Answer\":131}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,66],[0,2,62],[0,3,62],[0,4,63],[0,5,68],[0,6,54],[1,2,82],[1,3,93],[1,4,13],[1,5,75],[1,6,97],[2,3,28],[2,4,38],[2,5,0],[2,6,97],[3,4,26],[3,5,22],[3,6,62],[4,5,50],[4,6,16]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=0, w=0\",\"Add (1,4)=13, w=13\",\"Add (4,6)=16, w=29\",\"Add (3,5)=22, w=51\",\"Add (3,4)=26, w=77\",\"Add (0,6)=54, 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],\"edges\":[[0,1,66],[0,2,62],[0,3,62],[0,4,63],[0,5,68],[0,6,54],[1,2,82],[1,3,93],[1,4,13],[1,5,75],[1,6,97],[2,3,28],[2,4,38],[2,5,0],[2,6,97],[3,4,26],[3,5,22],[3,6,62],[4,5,50],[4,6,16]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=0 Succeeded, w=0\",\"Add (1,4)=13 Succeeded, w=13\",\"Add (4,6)=16 Succeeded, w=29\",\"Add (3,5)=22 Succeeded, w=51\",\"Add (3,4)=26 Succeeded, w=77\",\"Add (2,3)=28 Failed, w=77\",\"Add (2,4)=38 Failed, w=77\",\"Add (4,5)=50 Failed, w=77\",\"Add (0,6)=54 Succeeded, w=131\",\"Add (0,2)=62 Failed, w=131\",\"Add (0,3)=62 Failed, w=131\",\"Add (3,6)=62 Failed, w=131\",\"Add (0,4)=63 Failed, w=131\",\"Add (0,1)=66 Failed, w=131\",\"Add (0,5)=68 Failed, w=131\",\"Add (1,5)=75 Failed, w=131\",\"Add (1,2)=82 Failed, w=131\",\"Add (1,3)=93 Failed, w=131\",\"Add (1,6)=97 Failed, w=131\",\"Add (2,6)=97 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],\"edges\":[[0,1,66],[0,2,62],[0,3,62],[0,4,63],[0,5,68],[0,6,54],[1,2,82],[1,3,93],[1,4,13],[1,5,75],[1,6,97],[2,3,28],[2,4,38],[2,5,0],[2,6,97],[3,4,26],[3,5,22],[3,6,62],[4,5,50],[4,6,16]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=0,(1,4)=13,(4,6)=16,(3,5)=22,(3,4)=26,(2,3)=28,(2,4)=38,(4,5)=50,(0,6)=54,(0,2)=62,(0,3)=62,(3,6)=62,(0,4)=63,(0,1)=66,(0,5)=68,(1,5)=75,(1,2)=82,(1,3)=93,(1,6)=97,(2,6)=97]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Find(1)=1, Find(4)=4, Add (1,4)=13 Succeeded, w=13\",\"Find(4)=1, Find(6)=6, Add (4,6)=16 Succeeded, w=29\",\"Find(3)=3, Find(5)=2, Add (3,5)=22 Succeeded, w=51\",\"Find(3)=2, Find(4)=1, Add (3,4)=26 Succeeded, w=77\",\"Find(2)=2, Find(3)=2, Add (2,3)=28 Failed, w=77\",\"Find(2)=2, Find(4)=2, Add (2,4)=38 Failed, w=77\",\"Find(4)=2, Find(5)=2, Add (4,5)=50 Failed, w=77\",\"Find(0)=0, Find(6)=2, Add (0,6)=54 Succeeded, w=131\",\"Find(0)=2, Find(2)=2, Add (0,2)=62 Failed, w=131\",\"Find(0)=2, Find(3)=2, Add (0,3)=62 Failed, w=131\",\"Find(3)=2, Find(6)=2, Add (3,6)=62 Failed, w=131\",\"Find(0)=2, Find(4)=2, Add (0,4)=63 Failed, w=131\",\"Find(0)=2, Find(1)=2, Add (0,1)=66 Failed, w=131\",\"Find(0)=2, Find(5)=2, Add (0,5)=68 Failed, w=131\",\"Find(1)=2, Find(5)=2, Add (1,5)=75 Failed, w=131\",\"Find(1)=2, Find(2)=2, Add (1,2)=82 Failed, w=131\",\"Find(1)=2, Find(3)=2, Add (1,3)=93 Failed, w=131\",\"Find(1)=2, Find(6)=2, Add (1,6)=97 Failed, w=131\",\"Find(2)=2, Find(6)=2, Add (2,6)=97 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],\"edges\":[[0,1,66],[0,2,62],[0,3,62],[0,4,63],[0,5,68],[0,6,54],[1,2,82],[1,3,93],[1,4,13],[1,5,75],[1,6,97],[2,3,28],[2,4,38],[2,5,0],[2,6,97],[3,4,26],[3,5,22],[3,6,62],[4,5,50],[4,6,16]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=0,(1,4)=13,(4,6)=16,(3,5)=22,(3,4)=26,(2,3)=28,(2,4)=38,(4,5)=50,(0,6)=54,(0,2)=62,(0,3)=62,(3,6)=62,(0,4)=63,(0,1)=66,(0,5)=68,(1,5)=75,(1,2)=82,(1,3)=93,(1,6)=97,(2,6)=97]\",\"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)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 1}, Find(4)=1, Find(6)=6, Add (4,6)=16 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 2, 6: 1}, Find(3)=3, Find(5)=2, Add (3,5)=22 Succeeded, w=51\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 1}, Find(3)=2, Find(4)=1, Add (3,4)=26 Succeeded, w=77\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 1}, Find(2)=2, Find(3)=2, Add (2,3)=28 Failed, w=77\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1}, Find(2)=2, Find(4)=2, Add (2,4)=38 Failed, w=77\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1}, Find(4)=2, Find(5)=2, Add (4,5)=50 Failed, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=0, Find(6)=2, Add (0,6)=54 Succeeded, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=62 Failed, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=62 Failed, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=62 Failed, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=63 Failed, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=66 Failed, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=68 Failed, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=75 Failed, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=82 Failed, w=131\",\"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=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=97 Failed, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=97 Failed, w=131\"],\"Answer\":131}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,4,91],[1,2,68],[1,3,19],[1,4,88],[2,3,70],[2,4,89],[2,5,84],[3,4,31],[3,5,74],[4,5,73]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,91],[1,2,68],[1,3,19],[1,4,88],[2,3,70],[2,4,89],[2,5,84],[3,4,31],[3,5,74],[4,5,73]]}", "role": "user" }, { "content": "{\"Answer\":282}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,91],[1,2,68],[1,3,19],[1,4,88],[2,3,70],[2,4,89],[2,5,84],[3,4,31],[3,5,74],[4,5,73]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (4,5)\",\"Add (0,4)\"],\"Answer\":282}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,91],[1,2,68],[1,3,19],[1,4,88],[2,3,70],[2,4,89],[2,5,84],[3,4,31],[3,5,74],[4,5,73]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=19, w=19\",\"Add (3,4)=31, w=50\",\"Add (1,2)=68, w=118\",\"Add (4,5)=73, w=191\",\"Add (0,4)=91, w=282\"],\"Answer\":282}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,91],[1,2,68],[1,3,19],[1,4,88],[2,3,70],[2,4,89],[2,5,84],[3,4,31],[3,5,74],[4,5,73]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=19 Succeeded, w=19\",\"Add (3,4)=31 Succeeded, w=50\",\"Add (1,2)=68 Succeeded, w=118\",\"Add (2,3)=70 Failed, w=118\",\"Add (4,5)=73 Succeeded, w=191\",\"Add (3,5)=74 Failed, w=191\",\"Add (2,5)=84 Failed, w=191\",\"Add (1,4)=88 Failed, w=191\",\"Add (2,4)=89 Failed, w=191\",\"Add (0,4)=91 Succeeded, w=282\"],\"Answer\":282}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,91],[1,2,68],[1,3,19],[1,4,88],[2,3,70],[2,4,89],[2,5,84],[3,4,31],[3,5,74],[4,5,73]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=19,(3,4)=31,(1,2)=68,(2,3)=70,(4,5)=73,(3,5)=74,(2,5)=84,(1,4)=88,(2,4)=89,(0,4)=91]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=19\",\"Find(3)=1, Find(4)=4, Add (3,4)=31 Succeeded, w=50\",\"Find(1)=1, Find(2)=2, Add (1,2)=68 Succeeded, w=118\",\"Find(2)=1, Find(3)=1, Add (2,3)=70 Failed, w=118\",\"Find(4)=1, Find(5)=5, Add (4,5)=73 Succeeded, w=191\",\"Find(3)=1, Find(5)=1, Add (3,5)=74 Failed, w=191\",\"Find(2)=1, Find(5)=1, Add (2,5)=84 Failed, w=191\",\"Find(1)=1, Find(4)=1, Add (1,4)=88 Failed, w=191\",\"Find(2)=1, Find(4)=1, Add (2,4)=89 Failed, w=191\",\"Find(0)=0, Find(4)=1, Add (0,4)=91 Succeeded, w=282\"],\"Answer\":282}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,91],[1,2,68],[1,3,19],[1,4,88],[2,3,70],[2,4,89],[2,5,84],[3,4,31],[3,5,74],[4,5,73]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=19,(3,4)=31,(1,2)=68,(2,3)=70,(4,5)=73,(3,5)=74,(2,5)=84,(1,4)=88,(2,4)=89,(0,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(3)=1, Find(4)=4, Add (3,4)=31 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=68 Succeeded, w=118\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(2)=1, Find(3)=1, Add (2,3)=70 Failed, w=118\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=5, Add (4,5)=73 Succeeded, w=191\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=74 Failed, w=191\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=84 Failed, w=191\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=88 Failed, w=191\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=89 Failed, w=191\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(4)=1, Add (0,4)=91 Succeeded, w=282\"],\"Answer\":282}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,41],[0,3,86],[1,2,91]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,3,86],[1,2,91]]}", "role": "user" }, { "content": "{\"Answer\":218}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,3,86],[1,2,91]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":218}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,3,86],[1,2,91]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=41, w=41\",\"Add (0,3)=86, w=127\",\"Add (1,2)=91, w=218\"],\"Answer\":218}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,3,86],[1,2,91]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=41 Succeeded, w=41\",\"Add (0,3)=86 Succeeded, w=127\",\"Add (1,2)=91 Succeeded, w=218\"],\"Answer\":218}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,3,86],[1,2,91]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=41,(0,3)=86,(1,2)=91]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=41\",\"Find(0)=0, Find(3)=3, Add (0,3)=86 Succeeded, w=127\",\"Find(1)=0, Find(2)=2, Add (1,2)=91 Succeeded, w=218\"],\"Answer\":218}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,3,86],[1,2,91]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=41,(0,3)=86,(1,2)=91]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=86 Succeeded, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=91 Succeeded, w=218\"],\"Answer\":218}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,21],[0,2,2],[0,3,29],[0,4,92],[0,5,46],[1,2,59],[1,3,13],[1,4,72],[1,5,20],[2,3,66],[2,4,53],[2,5,65],[3,4,21],[3,5,91],[4,5,84]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,21],[0,2,2],[0,3,29],[0,4,92],[0,5,46],[1,2,59],[1,3,13],[1,4,72],[1,5,20],[2,3,66],[2,4,53],[2,5,65],[3,4,21],[3,5,91],[4,5,84]]}", "role": "user" }, { "content": "{\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,21],[0,2,2],[0,3,29],[0,4,92],[0,5,46],[1,2,59],[1,3,13],[1,4,72],[1,5,20],[2,3,66],[2,4,53],[2,5,65],[3,4,21],[3,5,91],[4,5,84]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (1,5)\",\"Add (0,1)\",\"Add (3,4)\"],\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,21],[0,2,2],[0,3,29],[0,4,92],[0,5,46],[1,2,59],[1,3,13],[1,4,72],[1,5,20],[2,3,66],[2,4,53],[2,5,65],[3,4,21],[3,5,91],[4,5,84]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=2, w=2\",\"Add (1,3)=13, w=15\",\"Add (1,5)=20, w=35\",\"Add (0,1)=21, w=56\",\"Add (3,4)=21, w=77\"],\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,21],[0,2,2],[0,3,29],[0,4,92],[0,5,46],[1,2,59],[1,3,13],[1,4,72],[1,5,20],[2,3,66],[2,4,53],[2,5,65],[3,4,21],[3,5,91],[4,5,84]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=2 Succeeded, w=2\",\"Add (1,3)=13 Succeeded, w=15\",\"Add (1,5)=20 Succeeded, w=35\",\"Add (0,1)=21 Succeeded, w=56\",\"Add (3,4)=21 Succeeded, w=77\",\"Add (0,3)=29 Failed, w=77\",\"Add (0,5)=46 Failed, w=77\",\"Add (2,4)=53 Failed, w=77\",\"Add (1,2)=59 Failed, w=77\",\"Add (2,5)=65 Failed, w=77\",\"Add (2,3)=66 Failed, w=77\",\"Add (1,4)=72 Failed, w=77\",\"Add (4,5)=84 Failed, w=77\",\"Add (3,5)=91 Failed, w=77\",\"Add (0,4)=92 Failed, w=77\"],\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,21],[0,2,2],[0,3,29],[0,4,92],[0,5,46],[1,2,59],[1,3,13],[1,4,72],[1,5,20],[2,3,66],[2,4,53],[2,5,65],[3,4,21],[3,5,91],[4,5,84]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=2,(1,3)=13,(1,5)=20,(0,1)=21,(3,4)=21,(0,3)=29,(0,5)=46,(2,4)=53,(1,2)=59,(2,5)=65,(2,3)=66,(1,4)=72,(4,5)=84,(3,5)=91,(0,4)=92]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=15\",\"Find(1)=1, Find(5)=5, Add (1,5)=20 Succeeded, w=35\",\"Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=56\",\"Find(3)=0, Find(4)=4, Add (3,4)=21 Succeeded, w=77\",\"Find(0)=0, Find(3)=0, Add (0,3)=29 Failed, w=77\",\"Find(0)=0, Find(5)=0, Add (0,5)=46 Failed, w=77\",\"Find(2)=0, Find(4)=0, Add (2,4)=53 Failed, w=77\",\"Find(1)=0, Find(2)=0, Add (1,2)=59 Failed, w=77\",\"Find(2)=0, Find(5)=0, Add (2,5)=65 Failed, w=77\",\"Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=77\",\"Find(1)=0, Find(4)=0, Add (1,4)=72 Failed, w=77\",\"Find(4)=0, Find(5)=0, Add (4,5)=84 Failed, w=77\",\"Find(3)=0, Find(5)=0, Add (3,5)=91 Failed, w=77\",\"Find(0)=0, Find(4)=0, Add (0,4)=92 Failed, w=77\"],\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,21],[0,2,2],[0,3,29],[0,4,92],[0,5,46],[1,2,59],[1,3,13],[1,4,72],[1,5,20],[2,3,66],[2,4,53],[2,5,65],[3,4,21],[3,5,91],[4,5,84]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=2,(1,3)=13,(1,5)=20,(0,1)=21,(3,4)=21,(0,3)=29,(0,5)=46,(2,4)=53,(1,2)=59,(2,5)=65,(2,3)=66,(1,4)=72,(4,5)=84,(3,5)=91,(0,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=20 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 4, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(3)=0, Find(4)=4, Add (3,4)=21 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(0)=0, Find(3)=0, Add (0,3)=29 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=46 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=53 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=59 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=65 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=72 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=84 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=91 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=92 Failed, w=77\"],\"Answer\":77}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,99],[0,3,15],[0,4,37],[1,3,63],[1,4,9],[2,4,33],[3,4,33]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,3,15],[0,4,37],[1,3,63],[1,4,9],[2,4,33],[3,4,33]]}", "role": "user" }, { "content": "{\"Answer\":90}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,3,15],[0,4,37],[1,3,63],[1,4,9],[2,4,33],[3,4,33]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (3,4)\"],\"Answer\":90}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,3,15],[0,4,37],[1,3,63],[1,4,9],[2,4,33],[3,4,33]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=9, w=9\",\"Add (0,3)=15, w=24\",\"Add (2,4)=33, w=57\",\"Add (3,4)=33, w=90\"],\"Answer\":90}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,3,15],[0,4,37],[1,3,63],[1,4,9],[2,4,33],[3,4,33]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=9 Succeeded, w=9\",\"Add (0,3)=15 Succeeded, w=24\",\"Add (2,4)=33 Succeeded, w=57\",\"Add (3,4)=33 Succeeded, w=90\",\"Add (0,4)=37 Failed, w=90\",\"Add (1,3)=63 Failed, w=90\",\"Add (0,2)=99 Failed, w=90\"],\"Answer\":90}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,3,15],[0,4,37],[1,3,63],[1,4,9],[2,4,33],[3,4,33]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=9,(0,3)=15,(2,4)=33,(3,4)=33,(0,4)=37,(1,3)=63,(0,2)=99]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=9\",\"Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=24\",\"Find(2)=2, Find(4)=1, Add (2,4)=33 Succeeded, w=57\",\"Find(3)=0, Find(4)=1, Add (3,4)=33 Succeeded, w=90\",\"Find(0)=0, Find(4)=0, Add (0,4)=37 Failed, w=90\",\"Find(1)=0, Find(3)=0, Add (1,3)=63 Failed, w=90\",\"Find(0)=0, Find(2)=0, Add (0,2)=99 Failed, w=90\"],\"Answer\":90}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,3,15],[0,4,37],[1,3,63],[1,4,9],[2,4,33],[3,4,33]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=9,(0,3)=15,(2,4)=33,(3,4)=33,(0,4)=37,(1,3)=63,(0,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1}, Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=33 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1}, Find(3)=0, Find(4)=1, Add (3,4)=33 Succeeded, w=90\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=37 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=63 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=99 Failed, w=90\"],\"Answer\":90}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,36],[0,2,37],[0,3,76],[0,4,53],[0,6,99],[1,2,26],[1,3,17],[1,4,83],[1,5,55],[1,6,53],[2,3,76],[2,4,81],[2,6,100],[2,7,68],[3,5,29],[3,6,64],[4,5,62],[4,6,18],[4,7,19],[5,6,3],[5,7,20],[6,7,58]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,37],[0,3,76],[0,4,53],[0,6,99],[1,2,26],[1,3,17],[1,4,83],[1,5,55],[1,6,53],[2,3,76],[2,4,81],[2,6,100],[2,7,68],[3,5,29],[3,6,64],[4,5,62],[4,6,18],[4,7,19],[5,6,3],[5,7,20],[6,7,58]]}", "role": "user" }, { "content": "{\"Answer\":148}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,37],[0,3,76],[0,4,53],[0,6,99],[1,2,26],[1,3,17],[1,4,83],[1,5,55],[1,6,53],[2,3,76],[2,4,81],[2,6,100],[2,7,68],[3,5,29],[3,6,64],[4,5,62],[4,6,18],[4,7,19],[5,6,3],[5,7,20],[6,7,58]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)\",\"Add (1,3)\",\"Add (4,6)\",\"Add (4,7)\",\"Add (1,2)\",\"Add (3,5)\",\"Add (0,1)\"],\"Answer\":148}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,37],[0,3,76],[0,4,53],[0,6,99],[1,2,26],[1,3,17],[1,4,83],[1,5,55],[1,6,53],[2,3,76],[2,4,81],[2,6,100],[2,7,68],[3,5,29],[3,6,64],[4,5,62],[4,6,18],[4,7,19],[5,6,3],[5,7,20],[6,7,58]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)=3, w=3\",\"Add (1,3)=17, w=20\",\"Add (4,6)=18, w=38\",\"Add (4,7)=19, w=57\",\"Add (1,2)=26, w=83\",\"Add (3,5)=29, w=112\",\"Add (0,1)=36, w=148\"],\"Answer\":148}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,37],[0,3,76],[0,4,53],[0,6,99],[1,2,26],[1,3,17],[1,4,83],[1,5,55],[1,6,53],[2,3,76],[2,4,81],[2,6,100],[2,7,68],[3,5,29],[3,6,64],[4,5,62],[4,6,18],[4,7,19],[5,6,3],[5,7,20],[6,7,58]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)=3 Succeeded, w=3\",\"Add (1,3)=17 Succeeded, w=20\",\"Add (4,6)=18 Succeeded, w=38\",\"Add (4,7)=19 Succeeded, w=57\",\"Add (5,7)=20 Failed, w=57\",\"Add (1,2)=26 Succeeded, w=83\",\"Add (3,5)=29 Succeeded, w=112\",\"Add (0,1)=36 Succeeded, w=148\",\"Add (0,2)=37 Failed, w=148\",\"Add (0,4)=53 Failed, w=148\",\"Add (1,6)=53 Failed, w=148\",\"Add (1,5)=55 Failed, w=148\",\"Add (6,7)=58 Failed, w=148\",\"Add (4,5)=62 Failed, w=148\",\"Add (3,6)=64 Failed, w=148\",\"Add (2,7)=68 Failed, w=148\",\"Add (0,3)=76 Failed, w=148\",\"Add (2,3)=76 Failed, w=148\",\"Add (2,4)=81 Failed, w=148\",\"Add (1,4)=83 Failed, w=148\",\"Add (0,6)=99 Failed, w=148\",\"Add (2,6)=100 Failed, w=148\"],\"Answer\":148}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,37],[0,3,76],[0,4,53],[0,6,99],[1,2,26],[1,3,17],[1,4,83],[1,5,55],[1,6,53],[2,3,76],[2,4,81],[2,6,100],[2,7,68],[3,5,29],[3,6,64],[4,5,62],[4,6,18],[4,7,19],[5,6,3],[5,7,20],[6,7,58]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(5,6)=3,(1,3)=17,(4,6)=18,(4,7)=19,(5,7)=20,(1,2)=26,(3,5)=29,(0,1)=36,(0,2)=37,(0,4)=53,(1,6)=53,(1,5)=55,(6,7)=58,(4,5)=62,(3,6)=64,(2,7)=68,(0,3)=76,(2,3)=76,(2,4)=81,(1,4)=83,(0,6)=99,(2,6)=100]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=3 Succeeded, w=3\",\"Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=20\",\"Find(4)=4, Find(6)=5, Add (4,6)=18 Succeeded, w=38\",\"Find(4)=5, Find(7)=7, Add (4,7)=19 Succeeded, w=57\",\"Find(5)=5, Find(7)=5, Add (5,7)=20 Failed, w=57\",\"Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=83\",\"Find(3)=1, Find(5)=5, Add (3,5)=29 Succeeded, w=112\",\"Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=148\",\"Find(0)=1, Find(2)=1, Add (0,2)=37 Failed, w=148\",\"Find(0)=1, Find(4)=1, Add (0,4)=53 Failed, w=148\",\"Find(1)=1, Find(6)=1, Add (1,6)=53 Failed, w=148\",\"Find(1)=1, Find(5)=1, Add (1,5)=55 Failed, w=148\",\"Find(6)=1, Find(7)=1, Add (6,7)=58 Failed, w=148\",\"Find(4)=1, Find(5)=1, Add (4,5)=62 Failed, w=148\",\"Find(3)=1, Find(6)=1, Add (3,6)=64 Failed, w=148\",\"Find(2)=1, Find(7)=1, Add (2,7)=68 Failed, w=148\",\"Find(0)=1, Find(3)=1, Add (0,3)=76 Failed, w=148\",\"Find(2)=1, Find(3)=1, Add (2,3)=76 Failed, w=148\",\"Find(2)=1, Find(4)=1, Add (2,4)=81 Failed, w=148\",\"Find(1)=1, Find(4)=1, Add (1,4)=83 Failed, w=148\",\"Find(0)=1, Find(6)=1, Add (0,6)=99 Failed, w=148\",\"Find(2)=1, Find(6)=1, Add (2,6)=100 Failed, w=148\"],\"Answer\":148}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,37],[0,3,76],[0,4,53],[0,6,99],[1,2,26],[1,3,17],[1,4,83],[1,5,55],[1,6,53],[2,3,76],[2,4,81],[2,6,100],[2,7,68],[3,5,29],[3,6,64],[4,5,62],[4,6,18],[4,7,19],[5,6,3],[5,7,20],[6,7,58]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(5,6)=3,(1,3)=17,(4,6)=18,(4,7)=19,(5,7)=20,(1,2)=26,(3,5)=29,(0,1)=36,(0,2)=37,(0,4)=53,(1,6)=53,(1,5)=55,(6,7)=58,(4,5)=62,(3,6)=64,(2,7)=68,(0,3)=76,(2,3)=76,(2,4)=81,(1,4)=83,(0,6)=99,(2,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 5, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 5, 5: 5, 6: 5, 7: 7}, Find(4)=4, Find(6)=5, Add (4,6)=18 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=5, Find(7)=7, Add (4,7)=19 Succeeded, w=57\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 5, 5: 5, 6: 5, 7: 5}, Find(5)=5, Find(7)=5, Add (5,7)=20 Failed, w=57\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=83\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 5, 5: 1, 6: 5, 7: 5}, Find(3)=1, Find(5)=5, Add (3,5)=29 Succeeded, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 5, 5: 1, 6: 5, 7: 5}, Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 5, 5: 1, 6: 5, 7: 5}, Find(0)=1, Find(2)=1, Add (0,2)=37 Failed, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5, 7: 5}, Find(0)=1, Find(4)=1, Add (0,4)=53 Failed, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(1)=1, Find(6)=1, Add (1,6)=53 Failed, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(1)=1, Find(5)=1, Add (1,5)=55 Failed, w=148\",\"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)=58 Failed, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=62 Failed, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=64 Failed, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=68 Failed, w=148\",\"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)=76 Failed, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=76 Failed, w=148\",\"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)=81 Failed, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=83 Failed, w=148\",\"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)=99 Failed, w=148\",\"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)=100 Failed, w=148\"],\"Answer\":148}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,89],[0,3,95],[0,5,41],[0,6,84],[0,7,90],[1,3,30],[1,4,42],[1,5,17],[1,6,64],[1,7,63],[2,3,75],[2,4,65],[2,5,55],[3,5,1],[3,6,97],[3,7,94],[4,5,87],[4,7,57],[5,6,61],[5,7,28],[6,7,13]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,3,95],[0,5,41],[0,6,84],[0,7,90],[1,3,30],[1,4,42],[1,5,17],[1,6,64],[1,7,63],[2,3,75],[2,4,65],[2,5,55],[3,5,1],[3,6,97],[3,7,94],[4,5,87],[4,7,57],[5,6,61],[5,7,28],[6,7,13]]}", "role": "user" }, { "content": "{\"Answer\":197}", "role": "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],[0,3,95],[0,5,41],[0,6,84],[0,7,90],[1,3,30],[1,4,42],[1,5,17],[1,6,64],[1,7,63],[2,3,75],[2,4,65],[2,5,55],[3,5,1],[3,6,97],[3,7,94],[4,5,87],[4,7,57],[5,6,61],[5,7,28],[6,7,13]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)\",\"Add (6,7)\",\"Add (1,5)\",\"Add (5,7)\",\"Add (0,5)\",\"Add (1,4)\",\"Add (2,5)\"],\"Answer\":197}", "role": "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],[0,3,95],[0,5,41],[0,6,84],[0,7,90],[1,3,30],[1,4,42],[1,5,17],[1,6,64],[1,7,63],[2,3,75],[2,4,65],[2,5,55],[3,5,1],[3,6,97],[3,7,94],[4,5,87],[4,7,57],[5,6,61],[5,7,28],[6,7,13]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=1, w=1\",\"Add (6,7)=13, w=14\",\"Add (1,5)=17, w=31\",\"Add (5,7)=28, w=59\",\"Add (0,5)=41, w=100\",\"Add (1,4)=42, w=142\",\"Add (2,5)=55, w=197\"],\"Answer\":197}", "role": "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],[0,3,95],[0,5,41],[0,6,84],[0,7,90],[1,3,30],[1,4,42],[1,5,17],[1,6,64],[1,7,63],[2,3,75],[2,4,65],[2,5,55],[3,5,1],[3,6,97],[3,7,94],[4,5,87],[4,7,57],[5,6,61],[5,7,28],[6,7,13]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=1 Succeeded, w=1\",\"Add (6,7)=13 Succeeded, w=14\",\"Add (1,5)=17 Succeeded, w=31\",\"Add (5,7)=28 Succeeded, w=59\",\"Add (1,3)=30 Failed, w=59\",\"Add (0,5)=41 Succeeded, w=100\",\"Add (1,4)=42 Succeeded, w=142\",\"Add (2,5)=55 Succeeded, w=197\",\"Add (4,7)=57 Failed, w=197\",\"Add (5,6)=61 Failed, w=197\",\"Add (1,7)=63 Failed, w=197\",\"Add (1,6)=64 Failed, w=197\",\"Add (2,4)=65 Failed, w=197\",\"Add (2,3)=75 Failed, w=197\",\"Add (0,6)=84 Failed, w=197\",\"Add (4,5)=87 Failed, w=197\",\"Add (0,1)=89 Failed, w=197\",\"Add (0,7)=90 Failed, w=197\",\"Add (3,7)=94 Failed, w=197\",\"Add (0,3)=95 Failed, w=197\",\"Add (3,6)=97 Failed, w=197\"],\"Answer\":197}", "role": "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],[0,3,95],[0,5,41],[0,6,84],[0,7,90],[1,3,30],[1,4,42],[1,5,17],[1,6,64],[1,7,63],[2,3,75],[2,4,65],[2,5,55],[3,5,1],[3,6,97],[3,7,94],[4,5,87],[4,7,57],[5,6,61],[5,7,28],[6,7,13]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=1,(6,7)=13,(1,5)=17,(5,7)=28,(1,3)=30,(0,5)=41,(1,4)=42,(2,5)=55,(4,7)=57,(5,6)=61,(1,7)=63,(1,6)=64,(2,4)=65,(2,3)=75,(0,6)=84,(4,5)=87,(0,1)=89,(0,7)=90,(3,7)=94,(0,3)=95,(3,6)=97]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=1 Succeeded, w=1\",\"Find(6)=6, Find(7)=7, Add (6,7)=13 Succeeded, w=14\",\"Find(1)=1, Find(5)=3, Add (1,5)=17 Succeeded, w=31\",\"Find(5)=3, Find(7)=6, Add (5,7)=28 Succeeded, w=59\",\"Find(1)=3, Find(3)=3, Add (1,3)=30 Failed, w=59\",\"Find(0)=0, Find(5)=3, Add (0,5)=41 Succeeded, w=100\",\"Find(1)=3, Find(4)=4, Add (1,4)=42 Succeeded, w=142\",\"Find(2)=2, Find(5)=3, Add (2,5)=55 Succeeded, w=197\",\"Find(4)=3, Find(7)=3, Add (4,7)=57 Failed, w=197\",\"Find(5)=3, Find(6)=3, Add (5,6)=61 Failed, w=197\",\"Find(1)=3, Find(7)=3, Add (1,7)=63 Failed, w=197\",\"Find(1)=3, Find(6)=3, Add (1,6)=64 Failed, w=197\",\"Find(2)=3, Find(4)=3, Add (2,4)=65 Failed, w=197\",\"Find(2)=3, Find(3)=3, Add (2,3)=75 Failed, w=197\",\"Find(0)=3, Find(6)=3, Add (0,6)=84 Failed, w=197\",\"Find(4)=3, Find(5)=3, Add (4,5)=87 Failed, w=197\",\"Find(0)=3, Find(1)=3, Add (0,1)=89 Failed, w=197\",\"Find(0)=3, Find(7)=3, Add (0,7)=90 Failed, w=197\",\"Find(3)=3, Find(7)=3, Add (3,7)=94 Failed, w=197\",\"Find(0)=3, Find(3)=3, Add (0,3)=95 Failed, w=197\",\"Find(3)=3, Find(6)=3, Add (3,6)=97 Failed, w=197\"],\"Answer\":197}", "role": "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],[0,3,95],[0,5,41],[0,6,84],[0,7,90],[1,3,30],[1,4,42],[1,5,17],[1,6,64],[1,7,63],[2,3,75],[2,4,65],[2,5,55],[3,5,1],[3,6,97],[3,7,94],[4,5,87],[4,7,57],[5,6,61],[5,7,28],[6,7,13]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=1,(6,7)=13,(1,5)=17,(5,7)=28,(1,3)=30,(0,5)=41,(1,4)=42,(2,5)=55,(4,7)=57,(5,6)=61,(1,7)=63,(1,6)=64,(2,4)=65,(2,3)=75,(0,6)=84,(4,5)=87,(0,1)=89,(0,7)=90,(3,7)=94,(0,3)=95,(3,6)=97]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=13 Succeeded, w=14\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 6}, Find(1)=1, Find(5)=3, Add (1,5)=17 Succeeded, w=31\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3, 7: 6}, Find(5)=3, Find(7)=6, Add (5,7)=28 Succeeded, w=59\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3, 7: 6}, Find(1)=3, Find(3)=3, Add (1,3)=30 Failed, w=59\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3, 7: 6}, Find(0)=0, Find(5)=3, Add (0,5)=41 Succeeded, w=100\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3, 7: 6}, Find(1)=3, Find(4)=4, Add (1,4)=42 Succeeded, w=142\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 6}, Find(2)=2, Find(5)=3, Add (2,5)=55 Succeeded, w=197\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=57 Failed, w=197\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=3, Add (5,6)=61 Failed, w=197\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=63 Failed, w=197\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(6)=3, Add (1,6)=64 Failed, w=197\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=65 Failed, w=197\",\"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)=75 Failed, w=197\",\"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)=84 Failed, w=197\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=87 Failed, w=197\",\"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)=89 Failed, w=197\",\"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)=90 Failed, w=197\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=94 Failed, w=197\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=95 Failed, w=197\",\"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)=97 Failed, w=197\"],\"Answer\":197}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,49],[0,2,85],[0,3,52],[0,4,13],[0,5,23],[0,6,19],[0,7,66],[1,2,100],[1,3,51],[1,4,79],[1,5,3],[1,6,9],[1,7,31],[2,3,53],[2,4,41],[2,5,71],[2,6,0],[2,7,93],[3,4,72],[3,5,37],[3,6,56],[3,7,94],[4,5,75],[4,6,27],[4,7,64],[5,6,29],[6,7,4]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,85],[0,3,52],[0,4,13],[0,5,23],[0,6,19],[0,7,66],[1,2,100],[1,3,51],[1,4,79],[1,5,3],[1,6,9],[1,7,31],[2,3,53],[2,4,41],[2,5,71],[2,6,0],[2,7,93],[3,4,72],[3,5,37],[3,6,56],[3,7,94],[4,5,75],[4,6,27],[4,7,64],[5,6,29],[6,7,4]]}", "role": "user" }, { "content": "{\"Answer\":85}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,85],[0,3,52],[0,4,13],[0,5,23],[0,6,19],[0,7,66],[1,2,100],[1,3,51],[1,4,79],[1,5,3],[1,6,9],[1,7,31],[2,3,53],[2,4,41],[2,5,71],[2,6,0],[2,7,93],[3,4,72],[3,5,37],[3,6,56],[3,7,94],[4,5,75],[4,6,27],[4,7,64],[5,6,29],[6,7,4]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,6)\",\"Add (1,5)\",\"Add (6,7)\",\"Add (1,6)\",\"Add (0,4)\",\"Add (0,6)\",\"Add (3,5)\"],\"Answer\":85}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,85],[0,3,52],[0,4,13],[0,5,23],[0,6,19],[0,7,66],[1,2,100],[1,3,51],[1,4,79],[1,5,3],[1,6,9],[1,7,31],[2,3,53],[2,4,41],[2,5,71],[2,6,0],[2,7,93],[3,4,72],[3,5,37],[3,6,56],[3,7,94],[4,5,75],[4,6,27],[4,7,64],[5,6,29],[6,7,4]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,6)=0, w=0\",\"Add (1,5)=3, w=3\",\"Add (6,7)=4, w=7\",\"Add (1,6)=9, w=16\",\"Add (0,4)=13, w=29\",\"Add (0,6)=19, w=48\",\"Add (3,5)=37, w=85\"],\"Answer\":85}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,85],[0,3,52],[0,4,13],[0,5,23],[0,6,19],[0,7,66],[1,2,100],[1,3,51],[1,4,79],[1,5,3],[1,6,9],[1,7,31],[2,3,53],[2,4,41],[2,5,71],[2,6,0],[2,7,93],[3,4,72],[3,5,37],[3,6,56],[3,7,94],[4,5,75],[4,6,27],[4,7,64],[5,6,29],[6,7,4]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,6)=0 Succeeded, w=0\",\"Add (1,5)=3 Succeeded, w=3\",\"Add (6,7)=4 Succeeded, w=7\",\"Add (1,6)=9 Succeeded, w=16\",\"Add (0,4)=13 Succeeded, w=29\",\"Add (0,6)=19 Succeeded, w=48\",\"Add (0,5)=23 Failed, w=48\",\"Add (4,6)=27 Failed, w=48\",\"Add (5,6)=29 Failed, w=48\",\"Add (1,7)=31 Failed, w=48\",\"Add (3,5)=37 Succeeded, w=85\",\"Add (2,4)=41 Failed, w=85\",\"Add (0,1)=49 Failed, w=85\",\"Add (1,3)=51 Failed, w=85\",\"Add (0,3)=52 Failed, w=85\",\"Add (2,3)=53 Failed, w=85\",\"Add (3,6)=56 Failed, w=85\",\"Add (4,7)=64 Failed, w=85\",\"Add (0,7)=66 Failed, w=85\",\"Add (2,5)=71 Failed, w=85\",\"Add (3,4)=72 Failed, w=85\",\"Add (4,5)=75 Failed, w=85\",\"Add (1,4)=79 Failed, w=85\",\"Add (0,2)=85 Failed, w=85\",\"Add (2,7)=93 Failed, w=85\",\"Add (3,7)=94 Failed, w=85\",\"Add (1,2)=100 Failed, w=85\"],\"Answer\":85}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,85],[0,3,52],[0,4,13],[0,5,23],[0,6,19],[0,7,66],[1,2,100],[1,3,51],[1,4,79],[1,5,3],[1,6,9],[1,7,31],[2,3,53],[2,4,41],[2,5,71],[2,6,0],[2,7,93],[3,4,72],[3,5,37],[3,6,56],[3,7,94],[4,5,75],[4,6,27],[4,7,64],[5,6,29],[6,7,4]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,6)=0,(1,5)=3,(6,7)=4,(1,6)=9,(0,4)=13,(0,6)=19,(0,5)=23,(4,6)=27,(5,6)=29,(1,7)=31,(3,5)=37,(2,4)=41,(0,1)=49,(1,3)=51,(0,3)=52,(2,3)=53,(3,6)=56,(4,7)=64,(0,7)=66,(2,5)=71,(3,4)=72,(4,5)=75,(1,4)=79,(0,2)=85,(2,7)=93,(3,7)=94,(1,2)=100]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=0 Succeeded, w=0\",\"Find(1)=1, Find(5)=5, Add (1,5)=3 Succeeded, w=3\",\"Find(6)=2, Find(7)=7, Add (6,7)=4 Succeeded, w=7\",\"Find(1)=1, Find(6)=2, Add (1,6)=9 Succeeded, w=16\",\"Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=29\",\"Find(0)=0, Find(6)=1, Add (0,6)=19 Succeeded, w=48\",\"Find(0)=1, Find(5)=1, Add (0,5)=23 Failed, w=48\",\"Find(4)=1, Find(6)=1, Add (4,6)=27 Failed, w=48\",\"Find(5)=1, Find(6)=1, Add (5,6)=29 Failed, w=48\",\"Find(1)=1, Find(7)=1, Add (1,7)=31 Failed, w=48\",\"Find(3)=3, Find(5)=1, Add (3,5)=37 Succeeded, w=85\",\"Find(2)=1, Find(4)=1, Add (2,4)=41 Failed, w=85\",\"Find(0)=1, Find(1)=1, Add (0,1)=49 Failed, w=85\",\"Find(1)=1, Find(3)=1, Add (1,3)=51 Failed, w=85\",\"Find(0)=1, Find(3)=1, Add (0,3)=52 Failed, w=85\",\"Find(2)=1, Find(3)=1, Add (2,3)=53 Failed, w=85\",\"Find(3)=1, Find(6)=1, Add (3,6)=56 Failed, w=85\",\"Find(4)=1, Find(7)=1, Add (4,7)=64 Failed, w=85\",\"Find(0)=1, Find(7)=1, Add (0,7)=66 Failed, w=85\",\"Find(2)=1, Find(5)=1, Add (2,5)=71 Failed, w=85\",\"Find(3)=1, Find(4)=1, Add (3,4)=72 Failed, w=85\",\"Find(4)=1, Find(5)=1, Add (4,5)=75 Failed, w=85\",\"Find(1)=1, Find(4)=1, Add (1,4)=79 Failed, w=85\",\"Find(0)=1, Find(2)=1, Add (0,2)=85 Failed, w=85\",\"Find(2)=1, Find(7)=1, Add (2,7)=93 Failed, w=85\",\"Find(3)=1, Find(7)=1, Add (3,7)=94 Failed, w=85\",\"Find(1)=1, Find(2)=1, Add (1,2)=100 Failed, w=85\"],\"Answer\":85}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,85],[0,3,52],[0,4,13],[0,5,23],[0,6,19],[0,7,66],[1,2,100],[1,3,51],[1,4,79],[1,5,3],[1,6,9],[1,7,31],[2,3,53],[2,4,41],[2,5,71],[2,6,0],[2,7,93],[3,4,72],[3,5,37],[3,6,56],[3,7,94],[4,5,75],[4,6,27],[4,7,64],[5,6,29],[6,7,4]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,6)=0,(1,5)=3,(6,7)=4,(1,6)=9,(0,4)=13,(0,6)=19,(0,5)=23,(4,6)=27,(5,6)=29,(1,7)=31,(3,5)=37,(2,4)=41,(0,1)=49,(1,3)=51,(0,3)=52,(2,3)=53,(3,6)=56,(4,7)=64,(0,7)=66,(2,5)=71,(3,4)=72,(4,5)=75,(1,4)=79,(0,2)=85,(2,7)=93,(3,7)=94,(1,2)=100]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 2, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 2, 7: 2}, Find(6)=2, Find(7)=7, Add (6,7)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 2, 7: 2}, Find(1)=1, Find(6)=2, Add (1,6)=9 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1, 6: 2, 7: 2}, Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1, 6: 1, 7: 2}, Find(0)=0, Find(6)=1, Add (0,6)=19 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1, 6: 1, 7: 2}, Find(0)=1, Find(5)=1, Add (0,5)=23 Failed, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 2}, Find(4)=1, Find(6)=1, Add (4,6)=27 Failed, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 2}, Find(5)=1, Find(6)=1, Add (5,6)=29 Failed, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=31 Failed, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=3, Find(5)=1, Add (3,5)=37 Succeeded, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=41 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=49 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(3)=1, Add (1,3)=51 Failed, w=85\",\"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)=52 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=53 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=56 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=64 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=66 Failed, w=85\",\"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)=71 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=72 Failed, w=85\",\"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)=75 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=79 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=85 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=93 Failed, w=85\",\"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)=94 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=100 Failed, w=85\"],\"Answer\":85}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,8],[0,2,60],[0,3,34],[0,5,39],[0,6,68],[1,2,3],[1,3,13],[1,4,8],[1,5,5],[1,6,54],[2,3,61],[2,4,84],[2,5,75],[3,4,19],[3,6,38],[4,5,85],[4,6,89],[5,6,77]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,60],[0,3,34],[0,5,39],[0,6,68],[1,2,3],[1,3,13],[1,4,8],[1,5,5],[1,6,54],[2,3,61],[2,4,84],[2,5,75],[3,4,19],[3,6,38],[4,5,85],[4,6,89],[5,6,77]]}", "role": "user" }, { "content": "{\"Answer\":75}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,60],[0,3,34],[0,5,39],[0,6,68],[1,2,3],[1,3,13],[1,4,8],[1,5,5],[1,6,54],[2,3,61],[2,4,84],[2,5,75],[3,4,19],[3,6,38],[4,5,85],[4,6,89],[5,6,77]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (1,5)\",\"Add (0,1)\",\"Add (1,4)\",\"Add (1,3)\",\"Add (3,6)\"],\"Answer\":75}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,60],[0,3,34],[0,5,39],[0,6,68],[1,2,3],[1,3,13],[1,4,8],[1,5,5],[1,6,54],[2,3,61],[2,4,84],[2,5,75],[3,4,19],[3,6,38],[4,5,85],[4,6,89],[5,6,77]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (1,5)=5, w=8\",\"Add (0,1)=8, w=16\",\"Add (1,4)=8, w=24\",\"Add (1,3)=13, w=37\",\"Add (3,6)=38, w=75\"],\"Answer\":75}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,60],[0,3,34],[0,5,39],[0,6,68],[1,2,3],[1,3,13],[1,4,8],[1,5,5],[1,6,54],[2,3,61],[2,4,84],[2,5,75],[3,4,19],[3,6,38],[4,5,85],[4,6,89],[5,6,77]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (1,5)=5 Succeeded, w=8\",\"Add (0,1)=8 Succeeded, w=16\",\"Add (1,4)=8 Succeeded, w=24\",\"Add (1,3)=13 Succeeded, w=37\",\"Add (3,4)=19 Failed, w=37\",\"Add (0,3)=34 Failed, w=37\",\"Add (3,6)=38 Succeeded, w=75\",\"Add (0,5)=39 Failed, w=75\",\"Add (1,6)=54 Failed, w=75\",\"Add (0,2)=60 Failed, w=75\",\"Add (2,3)=61 Failed, w=75\",\"Add (0,6)=68 Failed, w=75\",\"Add (2,5)=75 Failed, w=75\",\"Add (5,6)=77 Failed, w=75\",\"Add (2,4)=84 Failed, w=75\",\"Add (4,5)=85 Failed, w=75\",\"Add (4,6)=89 Failed, w=75\"],\"Answer\":75}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,60],[0,3,34],[0,5,39],[0,6,68],[1,2,3],[1,3,13],[1,4,8],[1,5,5],[1,6,54],[2,3,61],[2,4,84],[2,5,75],[3,4,19],[3,6,38],[4,5,85],[4,6,89],[5,6,77]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=3,(1,5)=5,(0,1)=8,(1,4)=8,(1,3)=13,(3,4)=19,(0,3)=34,(3,6)=38,(0,5)=39,(1,6)=54,(0,2)=60,(2,3)=61,(0,6)=68,(2,5)=75,(5,6)=77,(2,4)=84,(4,5)=85,(4,6)=89]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(1)=1, Find(5)=5, Add (1,5)=5 Succeeded, w=8\",\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=16\",\"Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=24\",\"Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=37\",\"Find(3)=1, Find(4)=1, Add (3,4)=19 Failed, w=37\",\"Find(0)=1, Find(3)=1, Add (0,3)=34 Failed, w=37\",\"Find(3)=1, Find(6)=6, Add (3,6)=38 Succeeded, w=75\",\"Find(0)=1, Find(5)=1, Add (0,5)=39 Failed, w=75\",\"Find(1)=1, Find(6)=1, Add (1,6)=54 Failed, w=75\",\"Find(0)=1, Find(2)=1, Add (0,2)=60 Failed, w=75\",\"Find(2)=1, Find(3)=1, Add (2,3)=61 Failed, w=75\",\"Find(0)=1, Find(6)=1, Add (0,6)=68 Failed, w=75\",\"Find(2)=1, Find(5)=1, Add (2,5)=75 Failed, w=75\",\"Find(5)=1, Find(6)=1, Add (5,6)=77 Failed, w=75\",\"Find(2)=1, Find(4)=1, Add (2,4)=84 Failed, w=75\",\"Find(4)=1, Find(5)=1, Add (4,5)=85 Failed, w=75\",\"Find(4)=1, Find(6)=1, Add (4,6)=89 Failed, w=75\"],\"Answer\":75}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,60],[0,3,34],[0,5,39],[0,6,68],[1,2,3],[1,3,13],[1,4,8],[1,5,5],[1,6,54],[2,3,61],[2,4,84],[2,5,75],[3,4,19],[3,6,38],[4,5,85],[4,6,89],[5,6,77]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=3,(1,5)=5,(0,1)=8,(1,4)=8,(1,3)=13,(3,4)=19,(0,3)=34,(3,6)=38,(0,5)=39,(1,6)=54,(0,2)=60,(2,3)=61,(0,6)=68,(2,5)=75,(5,6)=77,(2,4)=84,(4,5)=85,(4,6)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=5 Succeeded, w=8\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=16\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=24\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=37\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6}, Find(3)=1, Find(4)=1, Add (3,4)=19 Failed, w=37\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6}, Find(0)=1, Find(3)=1, Add (0,3)=34 Failed, w=37\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=6, Add (3,6)=38 Succeeded, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=39 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=54 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=60 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=61 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=68 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=75 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=77 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=84 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=85 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=89 Failed, w=75\"],\"Answer\":75}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,85],[0,2,89],[0,3,64],[1,2,11],[1,3,2],[2,3,31]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,2,89],[0,3,64],[1,2,11],[1,3,2],[2,3,31]]}", "role": "user" }, { "content": "{\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,2,89],[0,3,64],[1,2,11],[1,3,2],[2,3,31]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,2,89],[0,3,64],[1,2,11],[1,3,2],[2,3,31]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (1,2)=11, w=13\",\"Add (0,3)=64, w=77\"],\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,2,89],[0,3,64],[1,2,11],[1,3,2],[2,3,31]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (1,2)=11 Succeeded, w=13\",\"Add (2,3)=31 Failed, w=13\",\"Add (0,3)=64 Succeeded, w=77\",\"Add (0,1)=85 Failed, w=77\",\"Add (0,2)=89 Failed, w=77\"],\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,2,89],[0,3,64],[1,2,11],[1,3,2],[2,3,31]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=2,(1,2)=11,(2,3)=31,(0,3)=64,(0,1)=85,(0,2)=89]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=13\",\"Find(2)=1, Find(3)=1, Add (2,3)=31 Failed, w=13\",\"Find(0)=0, Find(3)=1, Add (0,3)=64 Succeeded, w=77\",\"Find(0)=1, Find(1)=1, Add (0,1)=85 Failed, w=77\",\"Find(0)=1, Find(2)=1, Add (0,2)=89 Failed, w=77\"],\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,2,89],[0,3,64],[1,2,11],[1,3,2],[2,3,31]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=2,(1,2)=11,(2,3)=31,(0,3)=64,(0,1)=85,(0,2)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=31 Failed, w=13\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=64 Succeeded, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=85 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=89 Failed, w=77\"],\"Answer\":77}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,9],[0,2,87],[0,3,84],[0,5,44],[0,6,100],[1,2,59],[1,3,92],[1,4,31],[1,5,32],[1,6,8],[2,4,42],[2,5,27],[2,6,34],[3,4,60],[3,5,50],[3,6,49],[4,5,73],[4,6,20],[5,6,19]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,87],[0,3,84],[0,5,44],[0,6,100],[1,2,59],[1,3,92],[1,4,31],[1,5,32],[1,6,8],[2,4,42],[2,5,27],[2,6,34],[3,4,60],[3,5,50],[3,6,49],[4,5,73],[4,6,20],[5,6,19]]}", "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],\"edges\":[[0,1,9],[0,2,87],[0,3,84],[0,5,44],[0,6,100],[1,2,59],[1,3,92],[1,4,31],[1,5,32],[1,6,8],[2,4,42],[2,5,27],[2,6,34],[3,4,60],[3,5,50],[3,6,49],[4,5,73],[4,6,20],[5,6,19]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,6)\",\"Add (0,1)\",\"Add (5,6)\",\"Add (4,6)\",\"Add (2,5)\",\"Add (3,6)\"],\"Answer\":132}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,87],[0,3,84],[0,5,44],[0,6,100],[1,2,59],[1,3,92],[1,4,31],[1,5,32],[1,6,8],[2,4,42],[2,5,27],[2,6,34],[3,4,60],[3,5,50],[3,6,49],[4,5,73],[4,6,20],[5,6,19]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,6)=8, w=8\",\"Add (0,1)=9, w=17\",\"Add (5,6)=19, w=36\",\"Add (4,6)=20, w=56\",\"Add (2,5)=27, w=83\",\"Add (3,6)=49, 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],\"edges\":[[0,1,9],[0,2,87],[0,3,84],[0,5,44],[0,6,100],[1,2,59],[1,3,92],[1,4,31],[1,5,32],[1,6,8],[2,4,42],[2,5,27],[2,6,34],[3,4,60],[3,5,50],[3,6,49],[4,5,73],[4,6,20],[5,6,19]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,6)=8 Succeeded, w=8\",\"Add (0,1)=9 Succeeded, w=17\",\"Add (5,6)=19 Succeeded, w=36\",\"Add (4,6)=20 Succeeded, w=56\",\"Add (2,5)=27 Succeeded, w=83\",\"Add (1,4)=31 Failed, w=83\",\"Add (1,5)=32 Failed, w=83\",\"Add (2,6)=34 Failed, w=83\",\"Add (2,4)=42 Failed, w=83\",\"Add (0,5)=44 Failed, w=83\",\"Add (3,6)=49 Succeeded, w=132\",\"Add (3,5)=50 Failed, w=132\",\"Add (1,2)=59 Failed, w=132\",\"Add (3,4)=60 Failed, w=132\",\"Add (4,5)=73 Failed, w=132\",\"Add (0,3)=84 Failed, w=132\",\"Add (0,2)=87 Failed, w=132\",\"Add (1,3)=92 Failed, w=132\",\"Add (0,6)=100 Failed, w=132\"],\"Answer\":132}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,87],[0,3,84],[0,5,44],[0,6,100],[1,2,59],[1,3,92],[1,4,31],[1,5,32],[1,6,8],[2,4,42],[2,5,27],[2,6,34],[3,4,60],[3,5,50],[3,6,49],[4,5,73],[4,6,20],[5,6,19]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,6)=8,(0,1)=9,(5,6)=19,(4,6)=20,(2,5)=27,(1,4)=31,(1,5)=32,(2,6)=34,(2,4)=42,(0,5)=44,(3,6)=49,(3,5)=50,(1,2)=59,(3,4)=60,(4,5)=73,(0,3)=84,(0,2)=87,(1,3)=92,(0,6)=100]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=8 Succeeded, w=8\",\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=17\",\"Find(5)=5, Find(6)=1, Add (5,6)=19 Succeeded, w=36\",\"Find(4)=4, Find(6)=1, Add (4,6)=20 Succeeded, w=56\",\"Find(2)=2, Find(5)=1, Add (2,5)=27 Succeeded, w=83\",\"Find(1)=1, Find(4)=1, Add (1,4)=31 Failed, w=83\",\"Find(1)=1, Find(5)=1, Add (1,5)=32 Failed, w=83\",\"Find(2)=1, Find(6)=1, Add (2,6)=34 Failed, w=83\",\"Find(2)=1, Find(4)=1, Add (2,4)=42 Failed, w=83\",\"Find(0)=1, Find(5)=1, Add (0,5)=44 Failed, w=83\",\"Find(3)=3, Find(6)=1, Add (3,6)=49 Succeeded, w=132\",\"Find(3)=1, Find(5)=1, Add (3,5)=50 Failed, w=132\",\"Find(1)=1, Find(2)=1, Add (1,2)=59 Failed, w=132\",\"Find(3)=1, Find(4)=1, Add (3,4)=60 Failed, w=132\",\"Find(4)=1, Find(5)=1, Add (4,5)=73 Failed, w=132\",\"Find(0)=1, Find(3)=1, Add (0,3)=84 Failed, w=132\",\"Find(0)=1, Find(2)=1, Add (0,2)=87 Failed, w=132\",\"Find(1)=1, Find(3)=1, Add (1,3)=92 Failed, w=132\",\"Find(0)=1, Find(6)=1, Add (0,6)=100 Failed, w=132\"],\"Answer\":132}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,87],[0,3,84],[0,5,44],[0,6,100],[1,2,59],[1,3,92],[1,4,31],[1,5,32],[1,6,8],[2,4,42],[2,5,27],[2,6,34],[3,4,60],[3,5,50],[3,6,49],[4,5,73],[4,6,20],[5,6,19]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,6)=8,(0,1)=9,(5,6)=19,(4,6)=20,(2,5)=27,(1,4)=31,(1,5)=32,(2,6)=34,(2,4)=42,(0,5)=44,(3,6)=49,(3,5)=50,(1,2)=59,(3,4)=60,(4,5)=73,(0,3)=84,(0,2)=87,(1,3)=92,(0,6)=100]\",\"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: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=17\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 1}, Find(5)=5, Find(6)=1, Add (5,6)=19 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 1}, Find(4)=4, Find(6)=1, Add (4,6)=20 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(2)=2, Find(5)=1, Add (2,5)=27 Succeeded, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=31 Failed, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=32 Failed, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=34 Failed, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=42 Failed, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=44 Failed, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=3, Find(6)=1, Add (3,6)=49 Succeeded, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=50 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=59 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=60 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=73 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=84 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=87 Failed, w=132\",\"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=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=100 Failed, w=132\"],\"Answer\":132}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,96],[0,2,91],[0,3,99],[0,4,72],[1,3,4],[1,4,27],[2,4,2],[3,4,34]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,2,91],[0,3,99],[0,4,72],[1,3,4],[1,4,27],[2,4,2],[3,4,34]]}", "role": "user" }, { "content": "{\"Answer\":105}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,2,91],[0,3,99],[0,4,72],[1,3,4],[1,4,27],[2,4,2],[3,4,34]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)\",\"Add (1,3)\",\"Add (1,4)\",\"Add (0,4)\"],\"Answer\":105}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,2,91],[0,3,99],[0,4,72],[1,3,4],[1,4,27],[2,4,2],[3,4,34]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=2, w=2\",\"Add (1,3)=4, w=6\",\"Add (1,4)=27, w=33\",\"Add (0,4)=72, w=105\"],\"Answer\":105}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,2,91],[0,3,99],[0,4,72],[1,3,4],[1,4,27],[2,4,2],[3,4,34]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=2 Succeeded, w=2\",\"Add (1,3)=4 Succeeded, w=6\",\"Add (1,4)=27 Succeeded, w=33\",\"Add (3,4)=34 Failed, w=33\",\"Add (0,4)=72 Succeeded, w=105\",\"Add (0,2)=91 Failed, w=105\",\"Add (0,1)=96 Failed, w=105\",\"Add (0,3)=99 Failed, w=105\"],\"Answer\":105}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,2,91],[0,3,99],[0,4,72],[1,3,4],[1,4,27],[2,4,2],[3,4,34]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=2,(1,3)=4,(1,4)=27,(3,4)=34,(0,4)=72,(0,2)=91,(0,1)=96,(0,3)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=6\",\"Find(1)=1, Find(4)=2, Add (1,4)=27 Succeeded, w=33\",\"Find(3)=1, Find(4)=1, Add (3,4)=34 Failed, w=33\",\"Find(0)=0, Find(4)=1, Add (0,4)=72 Succeeded, w=105\",\"Find(0)=1, Find(2)=1, Add (0,2)=91 Failed, w=105\",\"Find(0)=1, Find(1)=1, Add (0,1)=96 Failed, w=105\",\"Find(0)=1, Find(3)=1, Add (0,3)=99 Failed, w=105\"],\"Answer\":105}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,2,91],[0,3,99],[0,4,72],[1,3,4],[1,4,27],[2,4,2],[3,4,34]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=2,(1,3)=4,(1,4)=27,(3,4)=34,(0,4)=72,(0,2)=91,(0,1)=96,(0,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=27 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=34 Failed, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=72 Succeeded, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=91 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=96 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=99 Failed, w=105\"],\"Answer\":105}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,22],[0,2,55],[0,3,54],[0,4,77],[0,5,14],[1,2,54],[1,3,65],[1,4,53],[2,3,47],[2,5,71],[3,5,87],[4,5,46]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,2,55],[0,3,54],[0,4,77],[0,5,14],[1,2,54],[1,3,65],[1,4,53],[2,3,47],[2,5,71],[3,5,87],[4,5,46]]}", "role": "user" }, { "content": "{\"Answer\":183}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,2,55],[0,3,54],[0,4,77],[0,5,14],[1,2,54],[1,3,65],[1,4,53],[2,3,47],[2,5,71],[3,5,87],[4,5,46]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)\",\"Add (0,1)\",\"Add (4,5)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":183}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,2,55],[0,3,54],[0,4,77],[0,5,14],[1,2,54],[1,3,65],[1,4,53],[2,3,47],[2,5,71],[3,5,87],[4,5,46]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)=14, w=14\",\"Add (0,1)=22, w=36\",\"Add (4,5)=46, w=82\",\"Add (2,3)=47, w=129\",\"Add (0,3)=54, w=183\"],\"Answer\":183}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,2,55],[0,3,54],[0,4,77],[0,5,14],[1,2,54],[1,3,65],[1,4,53],[2,3,47],[2,5,71],[3,5,87],[4,5,46]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)=14 Succeeded, w=14\",\"Add (0,1)=22 Succeeded, w=36\",\"Add (4,5)=46 Succeeded, w=82\",\"Add (2,3)=47 Succeeded, w=129\",\"Add (1,4)=53 Failed, w=129\",\"Add (0,3)=54 Succeeded, w=183\",\"Add (1,2)=54 Failed, w=183\",\"Add (0,2)=55 Failed, w=183\",\"Add (1,3)=65 Failed, w=183\",\"Add (2,5)=71 Failed, w=183\",\"Add (0,4)=77 Failed, w=183\",\"Add (3,5)=87 Failed, w=183\"],\"Answer\":183}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,2,55],[0,3,54],[0,4,77],[0,5,14],[1,2,54],[1,3,65],[1,4,53],[2,3,47],[2,5,71],[3,5,87],[4,5,46]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,5)=14,(0,1)=22,(4,5)=46,(2,3)=47,(1,4)=53,(0,3)=54,(1,2)=54,(0,2)=55,(1,3)=65,(2,5)=71,(0,4)=77,(3,5)=87]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=14 Succeeded, w=14\",\"Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=36\",\"Find(4)=4, Find(5)=0, Add (4,5)=46 Succeeded, w=82\",\"Find(2)=2, Find(3)=3, Add (2,3)=47 Succeeded, w=129\",\"Find(1)=0, Find(4)=0, Add (1,4)=53 Failed, w=129\",\"Find(0)=0, Find(3)=2, Add (0,3)=54 Succeeded, w=183\",\"Find(1)=0, Find(2)=0, Add (1,2)=54 Failed, w=183\",\"Find(0)=0, Find(2)=0, Add (0,2)=55 Failed, w=183\",\"Find(1)=0, Find(3)=0, Add (1,3)=65 Failed, w=183\",\"Find(2)=0, Find(5)=0, Add (2,5)=71 Failed, w=183\",\"Find(0)=0, Find(4)=0, Add (0,4)=77 Failed, w=183\",\"Find(3)=0, Find(5)=0, Add (3,5)=87 Failed, w=183\"],\"Answer\":183}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,2,55],[0,3,54],[0,4,77],[0,5,14],[1,2,54],[1,3,65],[1,4,53],[2,3,47],[2,5,71],[3,5,87],[4,5,46]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,5)=14,(0,1)=22,(4,5)=46,(2,3)=47,(1,4)=53,(0,3)=54,(1,2)=54,(0,2)=55,(1,3)=65,(2,5)=71,(0,4)=77,(3,5)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0}, Find(4)=4, Find(5)=0, Add (4,5)=46 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 0}, Find(2)=2, Find(3)=3, Add (2,3)=47 Succeeded, w=129\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=53 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0}, Find(0)=0, Find(3)=2, Add (0,3)=54 Succeeded, w=183\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=54 Failed, w=183\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=55 Failed, w=183\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=65 Failed, w=183\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=71 Failed, w=183\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=77 Failed, w=183\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=87 Failed, w=183\"],\"Answer\":183}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,86],[0,2,38],[0,3,86],[0,4,69],[1,2,95],[1,4,32],[2,4,2],[3,4,80]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,38],[0,3,86],[0,4,69],[1,2,95],[1,4,32],[2,4,2],[3,4,80]]}", "role": "user" }, { "content": "{\"Answer\":152}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,38],[0,3,86],[0,4,69],[1,2,95],[1,4,32],[2,4,2],[3,4,80]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (3,4)\"],\"Answer\":152}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,38],[0,3,86],[0,4,69],[1,2,95],[1,4,32],[2,4,2],[3,4,80]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=2, w=2\",\"Add (1,4)=32, w=34\",\"Add (0,2)=38, w=72\",\"Add (3,4)=80, w=152\"],\"Answer\":152}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,38],[0,3,86],[0,4,69],[1,2,95],[1,4,32],[2,4,2],[3,4,80]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=2 Succeeded, w=2\",\"Add (1,4)=32 Succeeded, w=34\",\"Add (0,2)=38 Succeeded, w=72\",\"Add (0,4)=69 Failed, w=72\",\"Add (3,4)=80 Succeeded, w=152\",\"Add (0,1)=86 Failed, w=152\",\"Add (0,3)=86 Failed, w=152\",\"Add (1,2)=95 Failed, w=152\"],\"Answer\":152}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,38],[0,3,86],[0,4,69],[1,2,95],[1,4,32],[2,4,2],[3,4,80]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=2,(1,4)=32,(0,2)=38,(0,4)=69,(3,4)=80,(0,1)=86,(0,3)=86,(1,2)=95]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(1)=1, Find(4)=2, Add (1,4)=32 Succeeded, w=34\",\"Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=72\",\"Find(0)=2, Find(4)=2, Add (0,4)=69 Failed, w=72\",\"Find(3)=3, Find(4)=2, Add (3,4)=80 Succeeded, w=152\",\"Find(0)=2, Find(1)=2, Add (0,1)=86 Failed, w=152\",\"Find(0)=2, Find(3)=2, Add (0,3)=86 Failed, w=152\",\"Find(1)=2, Find(2)=2, Add (1,2)=95 Failed, w=152\"],\"Answer\":152}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,38],[0,3,86],[0,4,69],[1,2,95],[1,4,32],[2,4,2],[3,4,80]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=2,(1,4)=32,(0,2)=38,(0,4)=69,(3,4)=80,(0,1)=86,(0,3)=86,(1,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=32 Succeeded, w=34\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=72\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=69 Failed, w=72\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=3, Find(4)=2, Add (3,4)=80 Succeeded, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=86 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=86 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=95 Failed, w=152\"],\"Answer\":152}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,43],[0,2,43],[0,3,87],[0,4,96],[0,5,22],[1,3,80],[1,4,78],[1,5,92],[2,3,98],[2,4,4],[3,4,69],[3,5,15],[4,5,66]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,43],[0,3,87],[0,4,96],[0,5,22],[1,3,80],[1,4,78],[1,5,92],[2,3,98],[2,4,4],[3,4,69],[3,5,15],[4,5,66]]}", "role": "user" }, { "content": "{\"Answer\":127}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,43],[0,3,87],[0,4,96],[0,5,22],[1,3,80],[1,4,78],[1,5,92],[2,3,98],[2,4,4],[3,4,69],[3,5,15],[4,5,66]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)\",\"Add (3,5)\",\"Add (0,5)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":127}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,43],[0,3,87],[0,4,96],[0,5,22],[1,3,80],[1,4,78],[1,5,92],[2,3,98],[2,4,4],[3,4,69],[3,5,15],[4,5,66]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=4, w=4\",\"Add (3,5)=15, w=19\",\"Add (0,5)=22, w=41\",\"Add (0,1)=43, w=84\",\"Add (0,2)=43, w=127\"],\"Answer\":127}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,43],[0,3,87],[0,4,96],[0,5,22],[1,3,80],[1,4,78],[1,5,92],[2,3,98],[2,4,4],[3,4,69],[3,5,15],[4,5,66]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=4 Succeeded, w=4\",\"Add (3,5)=15 Succeeded, w=19\",\"Add (0,5)=22 Succeeded, w=41\",\"Add (0,1)=43 Succeeded, w=84\",\"Add (0,2)=43 Succeeded, w=127\",\"Add (4,5)=66 Failed, w=127\",\"Add (3,4)=69 Failed, w=127\",\"Add (1,4)=78 Failed, w=127\",\"Add (1,3)=80 Failed, w=127\",\"Add (0,3)=87 Failed, w=127\",\"Add (1,5)=92 Failed, w=127\",\"Add (0,4)=96 Failed, w=127\",\"Add (2,3)=98 Failed, w=127\"],\"Answer\":127}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,43],[0,3,87],[0,4,96],[0,5,22],[1,3,80],[1,4,78],[1,5,92],[2,3,98],[2,4,4],[3,4,69],[3,5,15],[4,5,66]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=4,(3,5)=15,(0,5)=22,(0,1)=43,(0,2)=43,(4,5)=66,(3,4)=69,(1,4)=78,(1,3)=80,(0,3)=87,(1,5)=92,(0,4)=96,(2,3)=98]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Find(3)=3, Find(5)=5, Add (3,5)=15 Succeeded, w=19\",\"Find(0)=0, Find(5)=3, Add (0,5)=22 Succeeded, w=41\",\"Find(0)=3, Find(1)=1, Add (0,1)=43 Succeeded, w=84\",\"Find(0)=3, Find(2)=2, Add (0,2)=43 Succeeded, w=127\",\"Find(4)=3, Find(5)=3, Add (4,5)=66 Failed, w=127\",\"Find(3)=3, Find(4)=3, Add (3,4)=69 Failed, w=127\",\"Find(1)=3, Find(4)=3, Add (1,4)=78 Failed, w=127\",\"Find(1)=3, Find(3)=3, Add (1,3)=80 Failed, w=127\",\"Find(0)=3, Find(3)=3, Add (0,3)=87 Failed, w=127\",\"Find(1)=3, Find(5)=3, Add (1,5)=92 Failed, w=127\",\"Find(0)=3, Find(4)=3, Add (0,4)=96 Failed, w=127\",\"Find(2)=3, Find(3)=3, Add (2,3)=98 Failed, w=127\"],\"Answer\":127}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,43],[0,3,87],[0,4,96],[0,5,22],[1,3,80],[1,4,78],[1,5,92],[2,3,98],[2,4,4],[3,4,69],[3,5,15],[4,5,66]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=4,(3,5)=15,(0,5)=22,(0,1)=43,(0,2)=43,(4,5)=66,(3,4)=69,(1,4)=78,(1,3)=80,(0,3)=87,(1,5)=92,(0,4)=96,(2,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"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=19\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3}, Find(0)=0, Find(5)=3, Add (0,5)=22 Succeeded, w=41\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 2, 5: 3}, Find(0)=3, Find(1)=1, Add (0,1)=43 Succeeded, w=84\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3}, Find(0)=3, Find(2)=2, Add (0,2)=43 Succeeded, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=66 Failed, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(4)=3, Add (3,4)=69 Failed, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=78 Failed, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(3)=3, Add (1,3)=80 Failed, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(3)=3, Add (0,3)=87 Failed, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=92 Failed, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=96 Failed, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(3)=3, Add (2,3)=98 Failed, w=127\"],\"Answer\":127}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,14],[0,3,8],[0,4,40],[1,2,38],[1,3,71],[1,4,48],[2,3,40],[2,4,29],[3,4,70]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,14],[0,3,8],[0,4,40],[1,2,38],[1,3,71],[1,4,48],[2,3,40],[2,4,29],[3,4,70]]}", "role": "user" }, { "content": "{\"Answer\":89}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,14],[0,3,8],[0,4,40],[1,2,38],[1,3,71],[1,4,48],[2,3,40],[2,4,29],[3,4,70]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (2,4)\",\"Add (1,2)\"],\"Answer\":89}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,14],[0,3,8],[0,4,40],[1,2,38],[1,3,71],[1,4,48],[2,3,40],[2,4,29],[3,4,70]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=8, w=8\",\"Add (0,2)=14, w=22\",\"Add (2,4)=29, w=51\",\"Add (1,2)=38, w=89\"],\"Answer\":89}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,14],[0,3,8],[0,4,40],[1,2,38],[1,3,71],[1,4,48],[2,3,40],[2,4,29],[3,4,70]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=8 Succeeded, w=8\",\"Add (0,2)=14 Succeeded, w=22\",\"Add (2,4)=29 Succeeded, w=51\",\"Add (1,2)=38 Succeeded, w=89\",\"Add (0,4)=40 Failed, w=89\",\"Add (2,3)=40 Failed, w=89\",\"Add (1,4)=48 Failed, w=89\",\"Add (3,4)=70 Failed, w=89\",\"Add (1,3)=71 Failed, w=89\"],\"Answer\":89}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,14],[0,3,8],[0,4,40],[1,2,38],[1,3,71],[1,4,48],[2,3,40],[2,4,29],[3,4,70]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=8,(0,2)=14,(2,4)=29,(1,2)=38,(0,4)=40,(2,3)=40,(1,4)=48,(3,4)=70,(1,3)=71]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=8\",\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=22\",\"Find(2)=0, Find(4)=4, Add (2,4)=29 Succeeded, w=51\",\"Find(1)=1, Find(2)=0, Add (1,2)=38 Succeeded, w=89\",\"Find(0)=0, Find(4)=0, Add (0,4)=40 Failed, w=89\",\"Find(2)=0, Find(3)=0, Add (2,3)=40 Failed, w=89\",\"Find(1)=0, Find(4)=0, Add (1,4)=48 Failed, w=89\",\"Find(3)=0, Find(4)=0, Add (3,4)=70 Failed, w=89\",\"Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=89\"],\"Answer\":89}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,14],[0,3,8],[0,4,40],[1,2,38],[1,3,71],[1,4,48],[2,3,40],[2,4,29],[3,4,70]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=8,(0,2)=14,(2,4)=29,(1,2)=38,(0,4)=40,(2,3)=40,(1,4)=48,(3,4)=70,(1,3)=71]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=29 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(2)=0, Add (1,2)=38 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=40 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=40 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=48 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=70 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=89\"],\"Answer\":89}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,42],[0,2,58],[0,3,53],[0,4,68],[1,2,43],[1,3,36],[1,4,80],[2,3,49],[3,4,31],[3,5,83],[4,5,33]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,58],[0,3,53],[0,4,68],[1,2,43],[1,3,36],[1,4,80],[2,3,49],[3,4,31],[3,5,83],[4,5,33]]}", "role": "user" }, { "content": "{\"Answer\":185}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,58],[0,3,53],[0,4,68],[1,2,43],[1,3,36],[1,4,80],[2,3,49],[3,4,31],[3,5,83],[4,5,33]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)\",\"Add (4,5)\",\"Add (1,3)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":185}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,58],[0,3,53],[0,4,68],[1,2,43],[1,3,36],[1,4,80],[2,3,49],[3,4,31],[3,5,83],[4,5,33]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=31, w=31\",\"Add (4,5)=33, w=64\",\"Add (1,3)=36, w=100\",\"Add (0,1)=42, w=142\",\"Add (1,2)=43, w=185\"],\"Answer\":185}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,58],[0,3,53],[0,4,68],[1,2,43],[1,3,36],[1,4,80],[2,3,49],[3,4,31],[3,5,83],[4,5,33]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=31 Succeeded, w=31\",\"Add (4,5)=33 Succeeded, w=64\",\"Add (1,3)=36 Succeeded, w=100\",\"Add (0,1)=42 Succeeded, w=142\",\"Add (1,2)=43 Succeeded, w=185\",\"Add (2,3)=49 Failed, w=185\",\"Add (0,3)=53 Failed, w=185\",\"Add (0,2)=58 Failed, w=185\",\"Add (0,4)=68 Failed, w=185\",\"Add (1,4)=80 Failed, w=185\",\"Add (3,5)=83 Failed, w=185\"],\"Answer\":185}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,58],[0,3,53],[0,4,68],[1,2,43],[1,3,36],[1,4,80],[2,3,49],[3,4,31],[3,5,83],[4,5,33]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=31,(4,5)=33,(1,3)=36,(0,1)=42,(1,2)=43,(2,3)=49,(0,3)=53,(0,2)=58,(0,4)=68,(1,4)=80,(3,5)=83]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=31 Succeeded, w=31\",\"Find(4)=3, Find(5)=5, Add (4,5)=33 Succeeded, w=64\",\"Find(1)=1, Find(3)=3, Add (1,3)=36 Succeeded, w=100\",\"Find(0)=0, Find(1)=3, Add (0,1)=42 Succeeded, w=142\",\"Find(1)=3, Find(2)=2, Add (1,2)=43 Succeeded, w=185\",\"Find(2)=3, Find(3)=3, Add (2,3)=49 Failed, w=185\",\"Find(0)=3, Find(3)=3, Add (0,3)=53 Failed, w=185\",\"Find(0)=3, Find(2)=3, Add (0,2)=58 Failed, w=185\",\"Find(0)=3, Find(4)=3, Add (0,4)=68 Failed, w=185\",\"Find(1)=3, Find(4)=3, Add (1,4)=80 Failed, w=185\",\"Find(3)=3, Find(5)=3, Add (3,5)=83 Failed, w=185\"],\"Answer\":185}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,58],[0,3,53],[0,4,68],[1,2,43],[1,3,36],[1,4,80],[2,3,49],[3,4,31],[3,5,83],[4,5,33]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=31,(4,5)=33,(1,3)=36,(0,1)=42,(1,2)=43,(2,3)=49,(0,3)=53,(0,2)=58,(0,4)=68,(1,4)=80,(3,5)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=31 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=5, Add (4,5)=33 Succeeded, w=64\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(1)=1, Find(3)=3, Add (1,3)=36 Succeeded, w=100\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(0)=0, Find(1)=3, Add (0,1)=42 Succeeded, w=142\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(2)=2, Add (1,2)=43 Succeeded, w=185\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(3)=3, Add (2,3)=49 Failed, w=185\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(3)=3, Add (0,3)=53 Failed, w=185\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=58 Failed, w=185\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=68 Failed, w=185\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=80 Failed, w=185\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=3, Add (3,5)=83 Failed, w=185\"],\"Answer\":185}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,5,66],[0,7,83],[1,2,32],[1,3,0],[1,5,9],[1,6,69],[1,7,33],[2,5,51],[2,6,81],[3,4,55],[3,5,51],[3,6,34],[3,7,80],[5,7,64],[6,7,40]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,66],[0,7,83],[1,2,32],[1,3,0],[1,5,9],[1,6,69],[1,7,33],[2,5,51],[2,6,81],[3,4,55],[3,5,51],[3,6,34],[3,7,80],[5,7,64],[6,7,40]]}", "role": "user" }, { "content": "{\"Answer\":229}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,66],[0,7,83],[1,2,32],[1,3,0],[1,5,9],[1,6,69],[1,7,33],[2,5,51],[2,6,81],[3,4,55],[3,5,51],[3,6,34],[3,7,80],[5,7,64],[6,7,40]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (1,5)\",\"Add (1,2)\",\"Add (1,7)\",\"Add (3,6)\",\"Add (3,4)\",\"Add (0,5)\"],\"Answer\":229}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,66],[0,7,83],[1,2,32],[1,3,0],[1,5,9],[1,6,69],[1,7,33],[2,5,51],[2,6,81],[3,4,55],[3,5,51],[3,6,34],[3,7,80],[5,7,64],[6,7,40]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (1,5)=9, w=9\",\"Add (1,2)=32, w=41\",\"Add (1,7)=33, w=74\",\"Add (3,6)=34, w=108\",\"Add (3,4)=55, w=163\",\"Add (0,5)=66, w=229\"],\"Answer\":229}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,66],[0,7,83],[1,2,32],[1,3,0],[1,5,9],[1,6,69],[1,7,33],[2,5,51],[2,6,81],[3,4,55],[3,5,51],[3,6,34],[3,7,80],[5,7,64],[6,7,40]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (1,5)=9 Succeeded, w=9\",\"Add (1,2)=32 Succeeded, w=41\",\"Add (1,7)=33 Succeeded, w=74\",\"Add (3,6)=34 Succeeded, w=108\",\"Add (6,7)=40 Failed, w=108\",\"Add (2,5)=51 Failed, w=108\",\"Add (3,5)=51 Failed, w=108\",\"Add (3,4)=55 Succeeded, w=163\",\"Add (5,7)=64 Failed, w=163\",\"Add (0,5)=66 Succeeded, w=229\",\"Add (1,6)=69 Failed, w=229\",\"Add (3,7)=80 Failed, w=229\",\"Add (2,6)=81 Failed, w=229\",\"Add (0,7)=83 Failed, w=229\"],\"Answer\":229}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,66],[0,7,83],[1,2,32],[1,3,0],[1,5,9],[1,6,69],[1,7,33],[2,5,51],[2,6,81],[3,4,55],[3,5,51],[3,6,34],[3,7,80],[5,7,64],[6,7,40]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=0,(1,5)=9,(1,2)=32,(1,7)=33,(3,6)=34,(6,7)=40,(2,5)=51,(3,5)=51,(3,4)=55,(5,7)=64,(0,5)=66,(1,6)=69,(3,7)=80,(2,6)=81,(0,7)=83]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(5)=5, Add (1,5)=9 Succeeded, w=9\",\"Find(1)=1, Find(2)=2, Add (1,2)=32 Succeeded, w=41\",\"Find(1)=1, Find(7)=7, Add (1,7)=33 Succeeded, w=74\",\"Find(3)=1, Find(6)=6, Add (3,6)=34 Succeeded, w=108\",\"Find(6)=1, Find(7)=1, Add (6,7)=40 Failed, w=108\",\"Find(2)=1, Find(5)=1, Add (2,5)=51 Failed, w=108\",\"Find(3)=1, Find(5)=1, Add (3,5)=51 Failed, w=108\",\"Find(3)=1, Find(4)=4, Add (3,4)=55 Succeeded, w=163\",\"Find(5)=1, Find(7)=1, Add (5,7)=64 Failed, w=163\",\"Find(0)=0, Find(5)=1, Add (0,5)=66 Succeeded, w=229\",\"Find(1)=1, Find(6)=1, Add (1,6)=69 Failed, w=229\",\"Find(3)=1, Find(7)=1, Add (3,7)=80 Failed, w=229\",\"Find(2)=1, Find(6)=1, Add (2,6)=81 Failed, w=229\",\"Find(0)=1, Find(7)=1, Add (0,7)=83 Failed, w=229\"],\"Answer\":229}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,66],[0,7,83],[1,2,32],[1,3,0],[1,5,9],[1,6,69],[1,7,33],[2,5,51],[2,6,81],[3,4,55],[3,5,51],[3,6,34],[3,7,80],[5,7,64],[6,7,40]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=0,(1,5)=9,(1,2)=32,(1,7)=33,(3,6)=34,(6,7)=40,(2,5)=51,(3,5)=51,(3,4)=55,(5,7)=64,(0,5)=66,(1,6)=69,(3,7)=80,(2,6)=81,(0,7)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=32 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=33 Succeeded, w=74\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=6, Add (3,6)=34 Succeeded, w=108\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=40 Failed, w=108\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=51 Failed, w=108\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=51 Failed, w=108\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=4, Add (3,4)=55 Succeeded, w=163\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=64 Failed, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=0, Find(5)=1, Add (0,5)=66 Succeeded, w=229\",\"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)=69 Failed, w=229\",\"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)=80 Failed, w=229\",\"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)=81 Failed, w=229\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=83 Failed, w=229\"],\"Answer\":229}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,91],[0,2,71],[0,3,45],[0,4,29],[1,3,8],[1,5,32],[1,6,24],[2,3,72],[2,4,2],[2,5,99],[2,6,70],[3,5,59],[4,5,38],[5,6,90]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,2,71],[0,3,45],[0,4,29],[1,3,8],[1,5,32],[1,6,24],[2,3,72],[2,4,2],[2,5,99],[2,6,70],[3,5,59],[4,5,38],[5,6,90]]}", "role": "user" }, { "content": "{\"Answer\":133}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,2,71],[0,3,45],[0,4,29],[1,3,8],[1,5,32],[1,6,24],[2,3,72],[2,4,2],[2,5,99],[2,6,70],[3,5,59],[4,5,38],[5,6,90]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)\",\"Add (1,3)\",\"Add (1,6)\",\"Add (0,4)\",\"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],\"edges\":[[0,1,91],[0,2,71],[0,3,45],[0,4,29],[1,3,8],[1,5,32],[1,6,24],[2,3,72],[2,4,2],[2,5,99],[2,6,70],[3,5,59],[4,5,38],[5,6,90]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=2, w=2\",\"Add (1,3)=8, w=10\",\"Add (1,6)=24, w=34\",\"Add (0,4)=29, w=63\",\"Add (1,5)=32, w=95\",\"Add (4,5)=38, w=133\"],\"Answer\":133}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,2,71],[0,3,45],[0,4,29],[1,3,8],[1,5,32],[1,6,24],[2,3,72],[2,4,2],[2,5,99],[2,6,70],[3,5,59],[4,5,38],[5,6,90]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=2 Succeeded, w=2\",\"Add (1,3)=8 Succeeded, w=10\",\"Add (1,6)=24 Succeeded, w=34\",\"Add (0,4)=29 Succeeded, w=63\",\"Add (1,5)=32 Succeeded, w=95\",\"Add (4,5)=38 Succeeded, w=133\",\"Add (0,3)=45 Failed, w=133\",\"Add (3,5)=59 Failed, w=133\",\"Add (2,6)=70 Failed, w=133\",\"Add (0,2)=71 Failed, w=133\",\"Add (2,3)=72 Failed, w=133\",\"Add (5,6)=90 Failed, w=133\",\"Add (0,1)=91 Failed, w=133\",\"Add (2,5)=99 Failed, w=133\"],\"Answer\":133}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,2,71],[0,3,45],[0,4,29],[1,3,8],[1,5,32],[1,6,24],[2,3,72],[2,4,2],[2,5,99],[2,6,70],[3,5,59],[4,5,38],[5,6,90]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=2,(1,3)=8,(1,6)=24,(0,4)=29,(1,5)=32,(4,5)=38,(0,3)=45,(3,5)=59,(2,6)=70,(0,2)=71,(2,3)=72,(5,6)=90,(0,1)=91,(2,5)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=10\",\"Find(1)=1, Find(6)=6, Add (1,6)=24 Succeeded, w=34\",\"Find(0)=0, Find(4)=2, Add (0,4)=29 Succeeded, w=63\",\"Find(1)=1, Find(5)=5, Add (1,5)=32 Succeeded, w=95\",\"Find(4)=2, Find(5)=1, Add (4,5)=38 Succeeded, w=133\",\"Find(0)=2, Find(3)=2, Add (0,3)=45 Failed, w=133\",\"Find(3)=2, Find(5)=2, Add (3,5)=59 Failed, w=133\",\"Find(2)=2, Find(6)=2, Add (2,6)=70 Failed, w=133\",\"Find(0)=2, Find(2)=2, Add (0,2)=71 Failed, w=133\",\"Find(2)=2, Find(3)=2, Add (2,3)=72 Failed, w=133\",\"Find(5)=2, Find(6)=2, Add (5,6)=90 Failed, w=133\",\"Find(0)=2, Find(1)=2, Add (0,1)=91 Failed, w=133\",\"Find(2)=2, Find(5)=2, Add (2,5)=99 Failed, w=133\"],\"Answer\":133}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,2,71],[0,3,45],[0,4,29],[1,3,8],[1,5,32],[1,6,24],[2,3,72],[2,4,2],[2,5,99],[2,6,70],[3,5,59],[4,5,38],[5,6,90]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=2,(1,3)=8,(1,6)=24,(0,4)=29,(1,5)=32,(4,5)=38,(0,3)=45,(3,5)=59,(2,6)=70,(0,2)=71,(2,3)=72,(5,6)=90,(0,1)=91,(2,5)=99]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=24 Succeeded, w=34\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5, 6: 1}, Find(0)=0, Find(4)=2, Add (0,4)=29 Succeeded, w=63\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 1}, Find(1)=1, Find(5)=5, Add (1,5)=32 Succeeded, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 1, 6: 1}, Find(4)=2, Find(5)=1, Add (4,5)=38 Succeeded, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 1}, Find(0)=2, Find(3)=2, Add (0,3)=45 Failed, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1}, Find(3)=2, Find(5)=2, Add (3,5)=59 Failed, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=70 Failed, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=71 Failed, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=72 Failed, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=90 Failed, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=91 Failed, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=99 Failed, w=133\"],\"Answer\":133}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,46],[0,2,32],[0,3,6],[1,2,46],[2,3,31]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,32],[0,3,6],[1,2,46],[2,3,31]]}", "role": "user" }, { "content": "{\"Answer\":83}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,32],[0,3,6],[1,2,46],[2,3,31]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":83}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,32],[0,3,6],[1,2,46],[2,3,31]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=6, w=6\",\"Add (2,3)=31, w=37\",\"Add (0,1)=46, w=83\"],\"Answer\":83}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,32],[0,3,6],[1,2,46],[2,3,31]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=6 Succeeded, w=6\",\"Add (2,3)=31 Succeeded, w=37\",\"Add (0,2)=32 Failed, w=37\",\"Add (0,1)=46 Succeeded, w=83\",\"Add (1,2)=46 Failed, w=83\"],\"Answer\":83}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,32],[0,3,6],[1,2,46],[2,3,31]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=6,(2,3)=31,(0,2)=32,(0,1)=46,(1,2)=46]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Find(2)=2, Find(3)=0, Add (2,3)=31 Succeeded, w=37\",\"Find(0)=0, Find(2)=0, Add (0,2)=32 Failed, w=37\",\"Find(0)=0, Find(1)=1, Add (0,1)=46 Succeeded, w=83\",\"Find(1)=0, Find(2)=0, Add (1,2)=46 Failed, w=83\"],\"Answer\":83}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,32],[0,3,6],[1,2,46],[2,3,31]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=6,(2,3)=31,(0,2)=32,(0,1)=46,(1,2)=46]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=31 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=32 Failed, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=46 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=46 Failed, w=83\"],\"Answer\":83}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,5,67],[0,6,85],[1,2,97],[1,4,8],[2,3,11],[2,4,63],[2,5,78],[2,6,93],[3,5,8],[3,6,9],[4,6,48],[5,6,4]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,5,67],[0,6,85],[1,2,97],[1,4,8],[2,3,11],[2,4,63],[2,5,78],[2,6,93],[3,5,8],[3,6,9],[4,6,48],[5,6,4]]}", "role": "user" }, { "content": "{\"Answer\":146}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,5,67],[0,6,85],[1,2,97],[1,4,8],[2,3,11],[2,4,63],[2,5,78],[2,6,93],[3,5,8],[3,6,9],[4,6,48],[5,6,4]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)\",\"Add (1,4)\",\"Add (3,5)\",\"Add (2,3)\",\"Add (4,6)\",\"Add (0,5)\"],\"Answer\":146}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,5,67],[0,6,85],[1,2,97],[1,4,8],[2,3,11],[2,4,63],[2,5,78],[2,6,93],[3,5,8],[3,6,9],[4,6,48],[5,6,4]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)=4, w=4\",\"Add (1,4)=8, w=12\",\"Add (3,5)=8, w=20\",\"Add (2,3)=11, w=31\",\"Add (4,6)=48, w=79\",\"Add (0,5)=67, w=146\"],\"Answer\":146}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,5,67],[0,6,85],[1,2,97],[1,4,8],[2,3,11],[2,4,63],[2,5,78],[2,6,93],[3,5,8],[3,6,9],[4,6,48],[5,6,4]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)=4 Succeeded, w=4\",\"Add (1,4)=8 Succeeded, w=12\",\"Add (3,5)=8 Succeeded, w=20\",\"Add (3,6)=9 Failed, w=20\",\"Add (2,3)=11 Succeeded, w=31\",\"Add (4,6)=48 Succeeded, w=79\",\"Add (2,4)=63 Failed, w=79\",\"Add (0,5)=67 Succeeded, w=146\",\"Add (2,5)=78 Failed, w=146\",\"Add (0,6)=85 Failed, w=146\",\"Add (2,6)=93 Failed, w=146\",\"Add (1,2)=97 Failed, w=146\"],\"Answer\":146}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,5,67],[0,6,85],[1,2,97],[1,4,8],[2,3,11],[2,4,63],[2,5,78],[2,6,93],[3,5,8],[3,6,9],[4,6,48],[5,6,4]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(5,6)=4,(1,4)=8,(3,5)=8,(3,6)=9,(2,3)=11,(4,6)=48,(2,4)=63,(0,5)=67,(2,5)=78,(0,6)=85,(2,6)=93,(1,2)=97]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=4 Succeeded, w=4\",\"Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=12\",\"Find(3)=3, Find(5)=5, Add (3,5)=8 Succeeded, w=20\",\"Find(3)=5, Find(6)=5, Add (3,6)=9 Failed, w=20\",\"Find(2)=2, Find(3)=5, Add (2,3)=11 Succeeded, w=31\",\"Find(4)=1, Find(6)=5, Add (4,6)=48 Succeeded, w=79\",\"Find(2)=1, Find(4)=1, Add (2,4)=63 Failed, w=79\",\"Find(0)=0, Find(5)=1, Add (0,5)=67 Succeeded, w=146\",\"Find(2)=1, Find(5)=1, Add (2,5)=78 Failed, w=146\",\"Find(0)=1, Find(6)=1, Add (0,6)=85 Failed, w=146\",\"Find(2)=1, Find(6)=1, Add (2,6)=93 Failed, w=146\",\"Find(1)=1, Find(2)=1, Add (1,2)=97 Failed, w=146\"],\"Answer\":146}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,5,67],[0,6,85],[1,2,97],[1,4,8],[2,3,11],[2,4,63],[2,5,78],[2,6,93],[3,5,8],[3,6,9],[4,6,48],[5,6,4]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(5,6)=4,(1,4)=8,(3,5)=8,(3,6)=9,(2,3)=11,(4,6)=48,(2,4)=63,(0,5)=67,(2,5)=78,(0,6)=85,(2,6)=93,(1,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 5}, Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 1, 5: 5, 6: 5}, Find(3)=3, Find(5)=5, Add (3,5)=8 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 1, 5: 5, 6: 5}, Find(3)=5, Find(6)=5, Add (3,6)=9 Failed, w=20\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5}, Find(2)=2, Find(3)=5, Add (2,3)=11 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 5, 4: 1, 5: 1, 6: 5}, Find(4)=1, Find(6)=5, Add (4,6)=48 Succeeded, w=79\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 5, 4: 1, 5: 1, 6: 5}, Find(2)=1, Find(4)=1, Add (2,4)=63 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 5, 4: 1, 5: 1, 6: 5}, Find(0)=0, Find(5)=1, Add (0,5)=67 Succeeded, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 5, 4: 1, 5: 1, 6: 5}, Find(2)=1, Find(5)=1, Add (2,5)=78 Failed, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 5, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=85 Failed, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 5, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=93 Failed, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 5, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=97 Failed, w=146\"],\"Answer\":146}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,41],[1,2,66],[2,3,75]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[1,2,66],[2,3,75]]}", "role": "user" }, { "content": "{\"Answer\":182}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[1,2,66],[2,3,75]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":182}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[1,2,66],[2,3,75]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=41, w=41\",\"Add (1,2)=66, w=107\",\"Add (2,3)=75, w=182\"],\"Answer\":182}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[1,2,66],[2,3,75]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=41 Succeeded, w=41\",\"Add (1,2)=66 Succeeded, w=107\",\"Add (2,3)=75 Succeeded, w=182\"],\"Answer\":182}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[1,2,66],[2,3,75]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=41,(1,2)=66,(2,3)=75]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=41\",\"Find(1)=0, Find(2)=2, Add (1,2)=66 Succeeded, w=107\",\"Find(2)=0, Find(3)=3, Add (2,3)=75 Succeeded, w=182\"],\"Answer\":182}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[1,2,66],[2,3,75]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=41,(1,2)=66,(2,3)=75]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=2, Add (1,2)=66 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=75 Succeeded, w=182\"],\"Answer\":182}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,40],[0,2,49],[0,3,0],[0,5,26],[1,2,76],[1,3,92],[1,4,83],[1,5,38],[1,6,46],[2,3,14],[2,5,42],[2,6,10],[3,4,72],[3,5,82],[3,6,14],[4,5,69],[4,6,22]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,2,49],[0,3,0],[0,5,26],[1,2,76],[1,3,92],[1,4,83],[1,5,38],[1,6,46],[2,3,14],[2,5,42],[2,6,10],[3,4,72],[3,5,82],[3,6,14],[4,5,69],[4,6,22]]}", "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\":[[0,1,40],[0,2,49],[0,3,0],[0,5,26],[1,2,76],[1,3,92],[1,4,83],[1,5,38],[1,6,46],[2,3,14],[2,5,42],[2,6,10],[3,4,72],[3,5,82],[3,6,14],[4,5,69],[4,6,22]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (2,6)\",\"Add (2,3)\",\"Add (4,6)\",\"Add (0,5)\",\"Add (1,5)\"],\"Answer\":110}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,2,49],[0,3,0],[0,5,26],[1,2,76],[1,3,92],[1,4,83],[1,5,38],[1,6,46],[2,3,14],[2,5,42],[2,6,10],[3,4,72],[3,5,82],[3,6,14],[4,5,69],[4,6,22]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (2,6)=10, w=10\",\"Add (2,3)=14, w=24\",\"Add (4,6)=22, w=46\",\"Add (0,5)=26, w=72\",\"Add (1,5)=38, 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\":[[0,1,40],[0,2,49],[0,3,0],[0,5,26],[1,2,76],[1,3,92],[1,4,83],[1,5,38],[1,6,46],[2,3,14],[2,5,42],[2,6,10],[3,4,72],[3,5,82],[3,6,14],[4,5,69],[4,6,22]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (2,6)=10 Succeeded, w=10\",\"Add (2,3)=14 Succeeded, w=24\",\"Add (3,6)=14 Failed, w=24\",\"Add (4,6)=22 Succeeded, w=46\",\"Add (0,5)=26 Succeeded, w=72\",\"Add (1,5)=38 Succeeded, w=110\",\"Add (0,1)=40 Failed, w=110\",\"Add (2,5)=42 Failed, w=110\",\"Add (1,6)=46 Failed, w=110\",\"Add (0,2)=49 Failed, w=110\",\"Add (4,5)=69 Failed, w=110\",\"Add (3,4)=72 Failed, w=110\",\"Add (1,2)=76 Failed, w=110\",\"Add (3,5)=82 Failed, w=110\",\"Add (1,4)=83 Failed, w=110\",\"Add (1,3)=92 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\":[[0,1,40],[0,2,49],[0,3,0],[0,5,26],[1,2,76],[1,3,92],[1,4,83],[1,5,38],[1,6,46],[2,3,14],[2,5,42],[2,6,10],[3,4,72],[3,5,82],[3,6,14],[4,5,69],[4,6,22]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=0,(2,6)=10,(2,3)=14,(3,6)=14,(4,6)=22,(0,5)=26,(1,5)=38,(0,1)=40,(2,5)=42,(1,6)=46,(0,2)=49,(4,5)=69,(3,4)=72,(1,2)=76,(3,5)=82,(1,4)=83,(1,3)=92]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(2)=2, Find(6)=6, Add (2,6)=10 Succeeded, w=10\",\"Find(2)=2, Find(3)=0, Add (2,3)=14 Succeeded, w=24\",\"Find(3)=2, Find(6)=2, Add (3,6)=14 Failed, w=24\",\"Find(4)=4, Find(6)=2, Add (4,6)=22 Succeeded, w=46\",\"Find(0)=2, Find(5)=5, Add (0,5)=26 Succeeded, w=72\",\"Find(1)=1, Find(5)=2, Add (1,5)=38 Succeeded, w=110\",\"Find(0)=2, Find(1)=2, Add (0,1)=40 Failed, w=110\",\"Find(2)=2, Find(5)=2, Add (2,5)=42 Failed, w=110\",\"Find(1)=2, Find(6)=2, Add (1,6)=46 Failed, w=110\",\"Find(0)=2, Find(2)=2, Add (0,2)=49 Failed, w=110\",\"Find(4)=2, Find(5)=2, Add (4,5)=69 Failed, w=110\",\"Find(3)=2, Find(4)=2, Add (3,4)=72 Failed, w=110\",\"Find(1)=2, Find(2)=2, Add (1,2)=76 Failed, w=110\",\"Find(3)=2, Find(5)=2, Add (3,5)=82 Failed, w=110\",\"Find(1)=2, Find(4)=2, Add (1,4)=83 Failed, w=110\",\"Find(1)=2, Find(3)=2, Add (1,3)=92 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\":[[0,1,40],[0,2,49],[0,3,0],[0,5,26],[1,2,76],[1,3,92],[1,4,83],[1,5,38],[1,6,46],[2,3,14],[2,5,42],[2,6,10],[3,4,72],[3,5,82],[3,6,14],[4,5,69],[4,6,22]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=0,(2,6)=10,(2,3)=14,(3,6)=14,(4,6)=22,(0,5)=26,(1,5)=38,(0,1)=40,(2,5)=42,(1,6)=46,(0,2)=49,(4,5)=69,(3,4)=72,(1,2)=76,(3,5)=82,(1,4)=83,(1,3)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=10 Succeeded, w=10\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(3)=0, Add (2,3)=14 Succeeded, w=24\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=14 Failed, w=24\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(4)=4, Find(6)=2, Add (4,6)=22 Succeeded, w=46\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=5, Add (0,5)=26 Succeeded, w=72\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=1, Find(5)=2, Add (1,5)=38 Succeeded, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=40 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=42 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=46 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=49 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=69 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=72 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=76 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=82 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=83 Failed, w=110\",\"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=110\"],\"Answer\":110}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,55],[0,3,10],[0,4,82],[1,2,99],[1,3,24],[1,4,100],[2,3,16],[2,4,0]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,55],[0,3,10],[0,4,82],[1,2,99],[1,3,24],[1,4,100],[2,3,16],[2,4,0]]}", "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\":[[0,2,55],[0,3,10],[0,4,82],[1,2,99],[1,3,24],[1,4,100],[2,3,16],[2,4,0]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)\",\"Add (0,3)\",\"Add (2,3)\",\"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\":[[0,2,55],[0,3,10],[0,4,82],[1,2,99],[1,3,24],[1,4,100],[2,3,16],[2,4,0]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=0, w=0\",\"Add (0,3)=10, w=10\",\"Add (2,3)=16, w=26\",\"Add (1,3)=24, w=50\"],\"Answer\":50}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,55],[0,3,10],[0,4,82],[1,2,99],[1,3,24],[1,4,100],[2,3,16],[2,4,0]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=0 Succeeded, w=0\",\"Add (0,3)=10 Succeeded, w=10\",\"Add (2,3)=16 Succeeded, w=26\",\"Add (1,3)=24 Succeeded, w=50\",\"Add (0,2)=55 Failed, w=50\",\"Add (0,4)=82 Failed, w=50\",\"Add (1,2)=99 Failed, w=50\",\"Add (1,4)=100 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\":[[0,2,55],[0,3,10],[0,4,82],[1,2,99],[1,3,24],[1,4,100],[2,3,16],[2,4,0]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=0,(0,3)=10,(2,3)=16,(1,3)=24,(0,2)=55,(0,4)=82,(1,2)=99,(1,4)=100]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Find(2)=2, Find(3)=0, Add (2,3)=16 Succeeded, w=26\",\"Find(1)=1, Find(3)=2, Add (1,3)=24 Succeeded, w=50\",\"Find(0)=2, Find(2)=2, Add (0,2)=55 Failed, w=50\",\"Find(0)=2, Find(4)=2, Add (0,4)=82 Failed, w=50\",\"Find(1)=2, Find(2)=2, Add (1,2)=99 Failed, w=50\",\"Find(1)=2, Find(4)=2, Add (1,4)=100 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\":[[0,2,55],[0,3,10],[0,4,82],[1,2,99],[1,3,24],[1,4,100],[2,3,16],[2,4,0]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=0,(0,3)=10,(2,3)=16,(1,3)=24,(0,2)=55,(0,4)=82,(1,2)=99,(1,4)=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: 0, 4: 2}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 0, 4: 2}, Find(2)=2, Find(3)=0, Add (2,3)=16 Succeeded, w=26\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(3)=2, Add (1,3)=24 Succeeded, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=55 Failed, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=82 Failed, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=99 Failed, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=100 Failed, w=50\"],\"Answer\":50}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,89],[0,3,16],[1,2,72],[2,3,64]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,89],[0,3,16],[1,2,72],[2,3,64]]}", "role": "user" }, { "content": "{\"Answer\":152}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,89],[0,3,16],[1,2,72],[2,3,64]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":152}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,89],[0,3,16],[1,2,72],[2,3,64]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=16, w=16\",\"Add (2,3)=64, w=80\",\"Add (1,2)=72, w=152\"],\"Answer\":152}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,89],[0,3,16],[1,2,72],[2,3,64]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=16 Succeeded, w=16\",\"Add (2,3)=64 Succeeded, w=80\",\"Add (1,2)=72 Succeeded, w=152\",\"Add (0,1)=89 Failed, w=152\"],\"Answer\":152}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,89],[0,3,16],[1,2,72],[2,3,64]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=16,(2,3)=64,(1,2)=72,(0,1)=89]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=16\",\"Find(2)=2, Find(3)=0, Add (2,3)=64 Succeeded, w=80\",\"Find(1)=1, Find(2)=0, Add (1,2)=72 Succeeded, w=152\",\"Find(0)=0, Find(1)=0, Add (0,1)=89 Failed, w=152\"],\"Answer\":152}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,89],[0,3,16],[1,2,72],[2,3,64]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=16,(2,3)=64,(1,2)=72,(0,1)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=64 Succeeded, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=72 Succeeded, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=89 Failed, w=152\"],\"Answer\":152}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,33],[0,2,71],[0,3,85],[1,2,100],[1,3,8],[2,3,63]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,71],[0,3,85],[1,2,100],[1,3,8],[2,3,63]]}", "role": "user" }, { "content": "{\"Answer\":104}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,71],[0,3,85],[1,2,100],[1,3,8],[2,3,63]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":104}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,71],[0,3,85],[1,2,100],[1,3,8],[2,3,63]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=8, w=8\",\"Add (0,1)=33, w=41\",\"Add (2,3)=63, w=104\"],\"Answer\":104}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,71],[0,3,85],[1,2,100],[1,3,8],[2,3,63]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=8 Succeeded, w=8\",\"Add (0,1)=33 Succeeded, w=41\",\"Add (2,3)=63 Succeeded, w=104\",\"Add (0,2)=71 Failed, w=104\",\"Add (0,3)=85 Failed, w=104\",\"Add (1,2)=100 Failed, w=104\"],\"Answer\":104}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,71],[0,3,85],[1,2,100],[1,3,8],[2,3,63]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=8,(0,1)=33,(2,3)=63,(0,2)=71,(0,3)=85,(1,2)=100]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=8\",\"Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=41\",\"Find(2)=2, Find(3)=1, Add (2,3)=63 Succeeded, w=104\",\"Find(0)=1, Find(2)=1, Add (0,2)=71 Failed, w=104\",\"Find(0)=1, Find(3)=1, Add (0,3)=85 Failed, w=104\",\"Find(1)=1, Find(2)=1, Add (1,2)=100 Failed, w=104\"],\"Answer\":104}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,71],[0,3,85],[1,2,100],[1,3,8],[2,3,63]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=8,(0,1)=33,(2,3)=63,(0,2)=71,(0,3)=85,(1,2)=100]\",\"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: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=41\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=63 Succeeded, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=71 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=85 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=100 Failed, w=104\"],\"Answer\":104}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,8],[0,2,84],[0,3,58],[0,4,100],[0,5,86],[1,2,100],[1,5,96],[2,3,54],[2,4,50],[2,5,72],[3,4,20],[3,5,14],[3,6,26],[4,6,12],[5,6,34]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,84],[0,3,58],[0,4,100],[0,5,86],[1,2,100],[1,5,96],[2,3,54],[2,4,50],[2,5,72],[3,4,20],[3,5,14],[3,6,26],[4,6,12],[5,6,34]]}", "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\":[[0,1,8],[0,2,84],[0,3,58],[0,4,100],[0,5,86],[1,2,100],[1,5,96],[2,3,54],[2,4,50],[2,5,72],[3,4,20],[3,5,14],[3,6,26],[4,6,12],[5,6,34]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (4,6)\",\"Add (3,5)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (0,3)\"],\"Answer\":162}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,84],[0,3,58],[0,4,100],[0,5,86],[1,2,100],[1,5,96],[2,3,54],[2,4,50],[2,5,72],[3,4,20],[3,5,14],[3,6,26],[4,6,12],[5,6,34]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=8, w=8\",\"Add (4,6)=12, w=20\",\"Add (3,5)=14, w=34\",\"Add (3,4)=20, w=54\",\"Add (2,4)=50, w=104\",\"Add (0,3)=58, 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\":[[0,1,8],[0,2,84],[0,3,58],[0,4,100],[0,5,86],[1,2,100],[1,5,96],[2,3,54],[2,4,50],[2,5,72],[3,4,20],[3,5,14],[3,6,26],[4,6,12],[5,6,34]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=8 Succeeded, w=8\",\"Add (4,6)=12 Succeeded, w=20\",\"Add (3,5)=14 Succeeded, w=34\",\"Add (3,4)=20 Succeeded, w=54\",\"Add (3,6)=26 Failed, w=54\",\"Add (5,6)=34 Failed, w=54\",\"Add (2,4)=50 Succeeded, w=104\",\"Add (2,3)=54 Failed, w=104\",\"Add (0,3)=58 Succeeded, w=162\",\"Add (2,5)=72 Failed, w=162\",\"Add (0,2)=84 Failed, w=162\",\"Add (0,5)=86 Failed, w=162\",\"Add (1,5)=96 Failed, w=162\",\"Add (0,4)=100 Failed, w=162\",\"Add (1,2)=100 Failed, w=162\"],\"Answer\":162}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,84],[0,3,58],[0,4,100],[0,5,86],[1,2,100],[1,5,96],[2,3,54],[2,4,50],[2,5,72],[3,4,20],[3,5,14],[3,6,26],[4,6,12],[5,6,34]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=8,(4,6)=12,(3,5)=14,(3,4)=20,(3,6)=26,(5,6)=34,(2,4)=50,(2,3)=54,(0,3)=58,(2,5)=72,(0,2)=84,(0,5)=86,(1,5)=96,(0,4)=100,(1,2)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Find(4)=4, Find(6)=6, Add (4,6)=12 Succeeded, w=20\",\"Find(3)=3, Find(5)=5, Add (3,5)=14 Succeeded, w=34\",\"Find(3)=3, Find(4)=4, Add (3,4)=20 Succeeded, w=54\",\"Find(3)=3, Find(6)=3, Add (3,6)=26 Failed, w=54\",\"Find(5)=3, Find(6)=3, Add (5,6)=34 Failed, w=54\",\"Find(2)=2, Find(4)=3, Add (2,4)=50 Succeeded, w=104\",\"Find(2)=3, Find(3)=3, Add (2,3)=54 Failed, w=104\",\"Find(0)=0, Find(3)=3, Add (0,3)=58 Succeeded, w=162\",\"Find(2)=3, Find(5)=3, Add (2,5)=72 Failed, w=162\",\"Find(0)=3, Find(2)=3, Add (0,2)=84 Failed, w=162\",\"Find(0)=3, Find(5)=3, Add (0,5)=86 Failed, w=162\",\"Find(1)=3, Find(5)=3, Add (1,5)=96 Failed, w=162\",\"Find(0)=3, Find(4)=3, Add (0,4)=100 Failed, w=162\",\"Find(1)=3, Find(2)=3, Add (1,2)=100 Failed, w=162\"],\"Answer\":162}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,84],[0,3,58],[0,4,100],[0,5,86],[1,2,100],[1,5,96],[2,3,54],[2,4,50],[2,5,72],[3,4,20],[3,5,14],[3,6,26],[4,6,12],[5,6,34]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=8,(4,6)=12,(3,5)=14,(3,4)=20,(3,6)=26,(5,6)=34,(2,4)=50,(2,3)=54,(0,3)=58,(2,5)=72,(0,2)=84,(0,5)=86,(1,5)=96,(0,4)=100,(1,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=12 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 3, 6: 4}, Find(3)=3, Find(5)=5, Add (3,5)=14 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 3, 6: 4}, Find(3)=3, Find(4)=4, Add (3,4)=20 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(6)=3, Add (3,6)=26 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=34 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=2, Find(4)=3, Add (2,4)=50 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=54 Failed, w=104\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=0, Find(3)=3, Add (0,3)=58 Succeeded, w=162\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=72 Failed, w=162\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=84 Failed, w=162\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=86 Failed, w=162\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=96 Failed, w=162\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=100 Failed, w=162\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=100 Failed, w=162\"],\"Answer\":162}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,40],[0,3,96],[0,4,9],[1,2,27],[1,4,9],[2,3,8],[2,4,40],[3,4,13]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,40],[0,3,96],[0,4,9],[1,2,27],[1,4,9],[2,3,8],[2,4,40],[3,4,13]]}", "role": "user" }, { "content": "{\"Answer\":39}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,40],[0,3,96],[0,4,9],[1,2,27],[1,4,9],[2,3,8],[2,4,40],[3,4,13]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (0,4)\",\"Add (1,4)\",\"Add (3,4)\"],\"Answer\":39}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,40],[0,3,96],[0,4,9],[1,2,27],[1,4,9],[2,3,8],[2,4,40],[3,4,13]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=8, w=8\",\"Add (0,4)=9, w=17\",\"Add (1,4)=9, w=26\",\"Add (3,4)=13, w=39\"],\"Answer\":39}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,40],[0,3,96],[0,4,9],[1,2,27],[1,4,9],[2,3,8],[2,4,40],[3,4,13]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=8 Succeeded, w=8\",\"Add (0,4)=9 Succeeded, w=17\",\"Add (1,4)=9 Succeeded, w=26\",\"Add (3,4)=13 Succeeded, w=39\",\"Add (1,2)=27 Failed, w=39\",\"Add (0,2)=40 Failed, w=39\",\"Add (2,4)=40 Failed, w=39\",\"Add (0,3)=96 Failed, w=39\"],\"Answer\":39}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,40],[0,3,96],[0,4,9],[1,2,27],[1,4,9],[2,3,8],[2,4,40],[3,4,13]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=8,(0,4)=9,(1,4)=9,(3,4)=13,(1,2)=27,(0,2)=40,(2,4)=40,(0,3)=96]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=17\",\"Find(1)=1, Find(4)=0, Add (1,4)=9 Succeeded, w=26\",\"Find(3)=2, Find(4)=0, Add (3,4)=13 Succeeded, w=39\",\"Find(1)=2, Find(2)=2, Add (1,2)=27 Failed, w=39\",\"Find(0)=2, Find(2)=2, Add (0,2)=40 Failed, w=39\",\"Find(2)=2, Find(4)=2, Add (2,4)=40 Failed, w=39\",\"Find(0)=2, Find(3)=2, Add (0,3)=96 Failed, w=39\"],\"Answer\":39}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,40],[0,3,96],[0,4,9],[1,2,27],[1,4,9],[2,3,8],[2,4,40],[3,4,13]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=8,(0,4)=9,(1,4)=9,(3,4)=13,(1,2)=27,(0,2)=40,(2,4)=40,(0,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=9 Succeeded, w=26\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 0}, Find(3)=2, Find(4)=0, Add (3,4)=13 Succeeded, w=39\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0}, Find(1)=2, Find(2)=2, Add (1,2)=27 Failed, w=39\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0}, Find(0)=2, Find(2)=2, Add (0,2)=40 Failed, w=39\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=40 Failed, w=39\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=96 Failed, w=39\"],\"Answer\":39}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,10],[0,3,67],[0,4,67],[1,2,19],[1,3,48],[1,4,95],[2,3,1],[2,4,56],[3,4,34]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,3,67],[0,4,67],[1,2,19],[1,3,48],[1,4,95],[2,3,1],[2,4,56],[3,4,34]]}", "role": "user" }, { "content": "{\"Answer\":64}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,3,67],[0,4,67],[1,2,19],[1,3,48],[1,4,95],[2,3,1],[2,4,56],[3,4,34]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (3,4)\"],\"Answer\":64}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,3,67],[0,4,67],[1,2,19],[1,3,48],[1,4,95],[2,3,1],[2,4,56],[3,4,34]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (0,1)=10, w=11\",\"Add (1,2)=19, w=30\",\"Add (3,4)=34, w=64\"],\"Answer\":64}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,3,67],[0,4,67],[1,2,19],[1,3,48],[1,4,95],[2,3,1],[2,4,56],[3,4,34]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (0,1)=10 Succeeded, w=11\",\"Add (1,2)=19 Succeeded, w=30\",\"Add (3,4)=34 Succeeded, w=64\",\"Add (1,3)=48 Failed, w=64\",\"Add (2,4)=56 Failed, w=64\",\"Add (0,3)=67 Failed, w=64\",\"Add (0,4)=67 Failed, w=64\",\"Add (1,4)=95 Failed, w=64\"],\"Answer\":64}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,3,67],[0,4,67],[1,2,19],[1,3,48],[1,4,95],[2,3,1],[2,4,56],[3,4,34]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=1,(0,1)=10,(1,2)=19,(3,4)=34,(1,3)=48,(2,4)=56,(0,3)=67,(0,4)=67,(1,4)=95]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=11\",\"Find(1)=0, Find(2)=2, Add (1,2)=19 Succeeded, w=30\",\"Find(3)=0, Find(4)=4, Add (3,4)=34 Succeeded, w=64\",\"Find(1)=0, Find(3)=0, Add (1,3)=48 Failed, w=64\",\"Find(2)=0, Find(4)=0, Add (2,4)=56 Failed, w=64\",\"Find(0)=0, Find(3)=0, Add (0,3)=67 Failed, w=64\",\"Find(0)=0, Find(4)=0, Add (0,4)=67 Failed, w=64\",\"Find(1)=0, Find(4)=0, Add (1,4)=95 Failed, w=64\"],\"Answer\":64}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,3,67],[0,4,67],[1,2,19],[1,3,48],[1,4,95],[2,3,1],[2,4,56],[3,4,34]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=1,(0,1)=10,(1,2)=19,(3,4)=34,(1,3)=48,(2,4)=56,(0,3)=67,(0,4)=67,(1,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4}, Find(1)=0, Find(2)=2, Add (1,2)=19 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=34 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=48 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=56 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=67 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=67 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=95 Failed, w=64\"],\"Answer\":64}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,92],[0,2,94],[0,3,0],[0,4,54],[0,6,53],[0,7,25],[1,2,19],[1,3,10],[1,4,66],[1,5,0],[1,6,21],[2,4,97],[2,6,91],[2,7,50],[3,4,88],[3,5,61],[3,6,37],[3,7,34],[5,7,57]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,94],[0,3,0],[0,4,54],[0,6,53],[0,7,25],[1,2,19],[1,3,10],[1,4,66],[1,5,0],[1,6,21],[2,4,97],[2,6,91],[2,7,50],[3,4,88],[3,5,61],[3,6,37],[3,7,34],[5,7,57]]}", "role": "user" }, { "content": "{\"Answer\":129}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,94],[0,3,0],[0,4,54],[0,6,53],[0,7,25],[1,2,19],[1,3,10],[1,4,66],[1,5,0],[1,6,21],[2,4,97],[2,6,91],[2,7,50],[3,4,88],[3,5,61],[3,6,37],[3,7,34],[5,7,57]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (1,5)\",\"Add (1,3)\",\"Add (1,2)\",\"Add (1,6)\",\"Add (0,7)\",\"Add (0,4)\"],\"Answer\":129}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,94],[0,3,0],[0,4,54],[0,6,53],[0,7,25],[1,2,19],[1,3,10],[1,4,66],[1,5,0],[1,6,21],[2,4,97],[2,6,91],[2,7,50],[3,4,88],[3,5,61],[3,6,37],[3,7,34],[5,7,57]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (1,5)=0, w=0\",\"Add (1,3)=10, w=10\",\"Add (1,2)=19, w=29\",\"Add (1,6)=21, w=50\",\"Add (0,7)=25, w=75\",\"Add (0,4)=54, w=129\"],\"Answer\":129}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,94],[0,3,0],[0,4,54],[0,6,53],[0,7,25],[1,2,19],[1,3,10],[1,4,66],[1,5,0],[1,6,21],[2,4,97],[2,6,91],[2,7,50],[3,4,88],[3,5,61],[3,6,37],[3,7,34],[5,7,57]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (1,5)=0 Succeeded, w=0\",\"Add (1,3)=10 Succeeded, w=10\",\"Add (1,2)=19 Succeeded, w=29\",\"Add (1,6)=21 Succeeded, w=50\",\"Add (0,7)=25 Succeeded, w=75\",\"Add (3,7)=34 Failed, w=75\",\"Add (3,6)=37 Failed, w=75\",\"Add (2,7)=50 Failed, w=75\",\"Add (0,6)=53 Failed, w=75\",\"Add (0,4)=54 Succeeded, w=129\",\"Add (5,7)=57 Failed, w=129\",\"Add (3,5)=61 Failed, w=129\",\"Add (1,4)=66 Failed, w=129\",\"Add (3,4)=88 Failed, w=129\",\"Add (2,6)=91 Failed, w=129\",\"Add (0,1)=92 Failed, w=129\",\"Add (0,2)=94 Failed, w=129\",\"Add (2,4)=97 Failed, w=129\"],\"Answer\":129}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,94],[0,3,0],[0,4,54],[0,6,53],[0,7,25],[1,2,19],[1,3,10],[1,4,66],[1,5,0],[1,6,21],[2,4,97],[2,6,91],[2,7,50],[3,4,88],[3,5,61],[3,6,37],[3,7,34],[5,7,57]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=0,(1,5)=0,(1,3)=10,(1,2)=19,(1,6)=21,(0,7)=25,(3,7)=34,(3,6)=37,(2,7)=50,(0,6)=53,(0,4)=54,(5,7)=57,(3,5)=61,(1,4)=66,(3,4)=88,(2,6)=91,(0,1)=92,(0,2)=94,(2,4)=97]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=0, Add (1,3)=10 Succeeded, w=10\",\"Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=29\",\"Find(1)=1, Find(6)=6, Add (1,6)=21 Succeeded, w=50\",\"Find(0)=1, Find(7)=7, Add (0,7)=25 Succeeded, w=75\",\"Find(3)=1, Find(7)=1, Add (3,7)=34 Failed, w=75\",\"Find(3)=1, Find(6)=1, Add (3,6)=37 Failed, w=75\",\"Find(2)=1, Find(7)=1, Add (2,7)=50 Failed, w=75\",\"Find(0)=1, Find(6)=1, Add (0,6)=53 Failed, w=75\",\"Find(0)=1, Find(4)=4, Add (0,4)=54 Succeeded, w=129\",\"Find(5)=1, Find(7)=1, Add (5,7)=57 Failed, w=129\",\"Find(3)=1, Find(5)=1, Add (3,5)=61 Failed, w=129\",\"Find(1)=1, Find(4)=1, Add (1,4)=66 Failed, w=129\",\"Find(3)=1, Find(4)=1, Add (3,4)=88 Failed, w=129\",\"Find(2)=1, Find(6)=1, Add (2,6)=91 Failed, w=129\",\"Find(0)=1, Find(1)=1, Add (0,1)=92 Failed, w=129\",\"Find(0)=1, Find(2)=1, Add (0,2)=94 Failed, w=129\",\"Find(2)=1, Find(4)=1, Add (2,4)=97 Failed, w=129\"],\"Answer\":129}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,94],[0,3,0],[0,4,54],[0,6,53],[0,7,25],[1,2,19],[1,3,10],[1,4,66],[1,5,0],[1,6,21],[2,4,97],[2,6,91],[2,7,50],[3,4,88],[3,5,61],[3,6,37],[3,7,34],[5,7,57]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=0,(1,5)=0,(1,3)=10,(1,2)=19,(1,6)=21,(0,7)=25,(3,7)=34,(3,6)=37,(2,7)=50,(0,6)=53,(0,4)=54,(5,7)=57,(3,5)=61,(1,4)=66,(3,4)=88,(2,6)=91,(0,1)=92,(0,2)=94,(2,4)=97]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 0, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(3)=0, Add (1,3)=10 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 4, 5: 1, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=21 Succeeded, w=50\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 4, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=7, Add (0,7)=25 Succeeded, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=34 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=37 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=50 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=53 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(4)=4, Add (0,4)=54 Succeeded, w=129\",\"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)=57 Failed, w=129\",\"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)=61 Failed, w=129\",\"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)=66 Failed, w=129\",\"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)=88 Failed, w=129\",\"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)=91 Failed, w=129\",\"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)=92 Failed, w=129\",\"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)=94 Failed, w=129\",\"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)=97 Failed, w=129\"],\"Answer\":129}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,88],[0,2,100],[0,3,33],[1,2,31],[2,3,65]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,100],[0,3,33],[1,2,31],[2,3,65]]}", "role": "user" }, { "content": "{\"Answer\":129}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,100],[0,3,33],[1,2,31],[2,3,65]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":129}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,100],[0,3,33],[1,2,31],[2,3,65]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=31, w=31\",\"Add (0,3)=33, w=64\",\"Add (2,3)=65, w=129\"],\"Answer\":129}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,100],[0,3,33],[1,2,31],[2,3,65]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=31 Succeeded, w=31\",\"Add (0,3)=33 Succeeded, w=64\",\"Add (2,3)=65 Succeeded, w=129\",\"Add (0,1)=88 Failed, w=129\",\"Add (0,2)=100 Failed, w=129\"],\"Answer\":129}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,100],[0,3,33],[1,2,31],[2,3,65]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=31,(0,3)=33,(2,3)=65,(0,1)=88,(0,2)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=31 Succeeded, w=31\",\"Find(0)=0, Find(3)=3, Add (0,3)=33 Succeeded, w=64\",\"Find(2)=1, Find(3)=0, Add (2,3)=65 Succeeded, w=129\",\"Find(0)=1, Find(1)=1, Add (0,1)=88 Failed, w=129\",\"Find(0)=1, Find(2)=1, Add (0,2)=100 Failed, w=129\"],\"Answer\":129}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,100],[0,3,33],[1,2,31],[2,3,65]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=31,(0,3)=33,(2,3)=65,(0,1)=88,(0,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=31 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=33 Succeeded, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(2)=1, Find(3)=0, Add (2,3)=65 Succeeded, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(0)=1, Find(1)=1, Add (0,1)=88 Failed, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(0)=1, Find(2)=1, Add (0,2)=100 Failed, w=129\"],\"Answer\":129}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,12],[0,2,20],[0,3,96],[0,4,38],[0,5,19],[0,6,1],[0,7,49],[1,2,29],[1,3,74],[1,5,52],[1,6,11],[1,7,23],[2,3,13],[2,4,11],[2,5,2],[2,6,80],[2,7,67],[3,4,94],[3,5,99],[3,6,60],[3,7,82],[4,5,26],[4,6,63],[4,7,7],[5,6,99],[5,7,43],[6,7,12]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,20],[0,3,96],[0,4,38],[0,5,19],[0,6,1],[0,7,49],[1,2,29],[1,3,74],[1,5,52],[1,6,11],[1,7,23],[2,3,13],[2,4,11],[2,5,2],[2,6,80],[2,7,67],[3,4,94],[3,5,99],[3,6,60],[3,7,82],[4,5,26],[4,6,63],[4,7,7],[5,6,99],[5,7,43],[6,7,12]]}", "role": "user" }, { "content": "{\"Answer\":57}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,20],[0,3,96],[0,4,38],[0,5,19],[0,6,1],[0,7,49],[1,2,29],[1,3,74],[1,5,52],[1,6,11],[1,7,23],[2,3,13],[2,4,11],[2,5,2],[2,6,80],[2,7,67],[3,4,94],[3,5,99],[3,6,60],[3,7,82],[4,5,26],[4,6,63],[4,7,7],[5,6,99],[5,7,43],[6,7,12]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,6)\",\"Add (2,5)\",\"Add (4,7)\",\"Add (1,6)\",\"Add (2,4)\",\"Add (6,7)\",\"Add (2,3)\"],\"Answer\":57}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,20],[0,3,96],[0,4,38],[0,5,19],[0,6,1],[0,7,49],[1,2,29],[1,3,74],[1,5,52],[1,6,11],[1,7,23],[2,3,13],[2,4,11],[2,5,2],[2,6,80],[2,7,67],[3,4,94],[3,5,99],[3,6,60],[3,7,82],[4,5,26],[4,6,63],[4,7,7],[5,6,99],[5,7,43],[6,7,12]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,6)=1, w=1\",\"Add (2,5)=2, w=3\",\"Add (4,7)=7, w=10\",\"Add (1,6)=11, w=21\",\"Add (2,4)=11, w=32\",\"Add (6,7)=12, w=44\",\"Add (2,3)=13, w=57\"],\"Answer\":57}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,20],[0,3,96],[0,4,38],[0,5,19],[0,6,1],[0,7,49],[1,2,29],[1,3,74],[1,5,52],[1,6,11],[1,7,23],[2,3,13],[2,4,11],[2,5,2],[2,6,80],[2,7,67],[3,4,94],[3,5,99],[3,6,60],[3,7,82],[4,5,26],[4,6,63],[4,7,7],[5,6,99],[5,7,43],[6,7,12]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,6)=1 Succeeded, w=1\",\"Add (2,5)=2 Succeeded, w=3\",\"Add (4,7)=7 Succeeded, w=10\",\"Add (1,6)=11 Succeeded, w=21\",\"Add (2,4)=11 Succeeded, w=32\",\"Add (0,1)=12 Failed, w=32\",\"Add (6,7)=12 Succeeded, w=44\",\"Add (2,3)=13 Succeeded, w=57\",\"Add (0,5)=19 Failed, w=57\",\"Add (0,2)=20 Failed, w=57\",\"Add (1,7)=23 Failed, w=57\",\"Add (4,5)=26 Failed, w=57\",\"Add (1,2)=29 Failed, w=57\",\"Add (0,4)=38 Failed, w=57\",\"Add (5,7)=43 Failed, w=57\",\"Add (0,7)=49 Failed, w=57\",\"Add (1,5)=52 Failed, w=57\",\"Add (3,6)=60 Failed, w=57\",\"Add (4,6)=63 Failed, w=57\",\"Add (2,7)=67 Failed, w=57\",\"Add (1,3)=74 Failed, w=57\",\"Add (2,6)=80 Failed, w=57\",\"Add (3,7)=82 Failed, w=57\",\"Add (3,4)=94 Failed, w=57\",\"Add (0,3)=96 Failed, w=57\",\"Add (3,5)=99 Failed, w=57\",\"Add (5,6)=99 Failed, w=57\"],\"Answer\":57}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,20],[0,3,96],[0,4,38],[0,5,19],[0,6,1],[0,7,49],[1,2,29],[1,3,74],[1,5,52],[1,6,11],[1,7,23],[2,3,13],[2,4,11],[2,5,2],[2,6,80],[2,7,67],[3,4,94],[3,5,99],[3,6,60],[3,7,82],[4,5,26],[4,6,63],[4,7,7],[5,6,99],[5,7,43],[6,7,12]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,6)=1,(2,5)=2,(4,7)=7,(1,6)=11,(2,4)=11,(0,1)=12,(6,7)=12,(2,3)=13,(0,5)=19,(0,2)=20,(1,7)=23,(4,5)=26,(1,2)=29,(0,4)=38,(5,7)=43,(0,7)=49,(1,5)=52,(3,6)=60,(4,6)=63,(2,7)=67,(1,3)=74,(2,6)=80,(3,7)=82,(3,4)=94,(0,3)=96,(3,5)=99,(5,6)=99]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=1 Succeeded, w=1\",\"Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=3\",\"Find(4)=4, Find(7)=7, Add (4,7)=7 Succeeded, w=10\",\"Find(1)=1, Find(6)=0, Add (1,6)=11 Succeeded, w=21\",\"Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=32\",\"Find(0)=0, Find(1)=0, Add (0,1)=12 Failed, w=32\",\"Find(6)=0, Find(7)=2, Add (6,7)=12 Succeeded, w=44\",\"Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=57\",\"Find(0)=2, Find(5)=2, Add (0,5)=19 Failed, w=57\",\"Find(0)=2, Find(2)=2, Add (0,2)=20 Failed, w=57\",\"Find(1)=2, Find(7)=2, Add (1,7)=23 Failed, w=57\",\"Find(4)=2, Find(5)=2, Add (4,5)=26 Failed, w=57\",\"Find(1)=2, Find(2)=2, Add (1,2)=29 Failed, w=57\",\"Find(0)=2, Find(4)=2, Add (0,4)=38 Failed, w=57\",\"Find(5)=2, Find(7)=2, Add (5,7)=43 Failed, w=57\",\"Find(0)=2, Find(7)=2, Add (0,7)=49 Failed, w=57\",\"Find(1)=2, Find(5)=2, Add (1,5)=52 Failed, w=57\",\"Find(3)=2, Find(6)=2, Add (3,6)=60 Failed, w=57\",\"Find(4)=2, Find(6)=2, Add (4,6)=63 Failed, w=57\",\"Find(2)=2, Find(7)=2, Add (2,7)=67 Failed, w=57\",\"Find(1)=2, Find(3)=2, Add (1,3)=74 Failed, w=57\",\"Find(2)=2, Find(6)=2, Add (2,6)=80 Failed, w=57\",\"Find(3)=2, Find(7)=2, Add (3,7)=82 Failed, w=57\",\"Find(3)=2, Find(4)=2, Add (3,4)=94 Failed, w=57\",\"Find(0)=2, Find(3)=2, Add (0,3)=96 Failed, w=57\",\"Find(3)=2, Find(5)=2, Add (3,5)=99 Failed, w=57\",\"Find(5)=2, Find(6)=2, Add (5,6)=99 Failed, w=57\"],\"Answer\":57}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,20],[0,3,96],[0,4,38],[0,5,19],[0,6,1],[0,7,49],[1,2,29],[1,3,74],[1,5,52],[1,6,11],[1,7,23],[2,3,13],[2,4,11],[2,5,2],[2,6,80],[2,7,67],[3,4,94],[3,5,99],[3,6,60],[3,7,82],[4,5,26],[4,6,63],[4,7,7],[5,6,99],[5,7,43],[6,7,12]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,6)=1,(2,5)=2,(4,7)=7,(1,6)=11,(2,4)=11,(0,1)=12,(6,7)=12,(2,3)=13,(0,5)=19,(0,2)=20,(1,7)=23,(4,5)=26,(1,2)=29,(0,4)=38,(5,7)=43,(0,7)=49,(1,5)=52,(3,6)=60,(4,6)=63,(2,7)=67,(1,3)=74,(2,6)=80,(3,7)=82,(3,4)=94,(0,3)=96,(3,5)=99,(5,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 0, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 0, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=7 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2, 6: 0, 7: 4}, Find(1)=1, Find(6)=0, Add (1,6)=11 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 2, 6: 0, 7: 4}, Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 2, 6: 0, 7: 4}, Find(0)=0, Find(1)=0, Add (0,1)=12 Failed, w=32\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 3, 4: 2, 5: 2, 6: 0, 7: 2}, Find(6)=0, Find(7)=2, Add (6,7)=12 Succeeded, w=44\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 2}, Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=57\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=19 Failed, w=57\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=20 Failed, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=23 Failed, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=26 Failed, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=29 Failed, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=38 Failed, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=43 Failed, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=49 Failed, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 2}, Find(1)=2, Find(5)=2, Add (1,5)=52 Failed, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=60 Failed, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=63 Failed, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=67 Failed, w=57\",\"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)=74 Failed, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(6)=2, Add (2,6)=80 Failed, w=57\",\"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=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=94 Failed, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=96 Failed, w=57\",\"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)=99 Failed, w=57\",\"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)=99 Failed, w=57\"],\"Answer\":57}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,71],[0,2,59],[0,3,3],[0,4,80],[1,3,31],[1,5,68],[2,4,100],[3,5,36],[4,5,43]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,59],[0,3,3],[0,4,80],[1,3,31],[1,5,68],[2,4,100],[3,5,36],[4,5,43]]}", "role": "user" }, { "content": "{\"Answer\":172}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,59],[0,3,3],[0,4,80],[1,3,31],[1,5,68],[2,4,100],[3,5,36],[4,5,43]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (3,5)\",\"Add (4,5)\",\"Add (0,2)\"],\"Answer\":172}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,59],[0,3,3],[0,4,80],[1,3,31],[1,5,68],[2,4,100],[3,5,36],[4,5,43]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=3, w=3\",\"Add (1,3)=31, w=34\",\"Add (3,5)=36, w=70\",\"Add (4,5)=43, w=113\",\"Add (0,2)=59, w=172\"],\"Answer\":172}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,59],[0,3,3],[0,4,80],[1,3,31],[1,5,68],[2,4,100],[3,5,36],[4,5,43]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=3 Succeeded, w=3\",\"Add (1,3)=31 Succeeded, w=34\",\"Add (3,5)=36 Succeeded, w=70\",\"Add (4,5)=43 Succeeded, w=113\",\"Add (0,2)=59 Succeeded, w=172\",\"Add (1,5)=68 Failed, w=172\",\"Add (0,1)=71 Failed, w=172\",\"Add (0,4)=80 Failed, w=172\",\"Add (2,4)=100 Failed, w=172\"],\"Answer\":172}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,59],[0,3,3],[0,4,80],[1,3,31],[1,5,68],[2,4,100],[3,5,36],[4,5,43]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=3,(1,3)=31,(3,5)=36,(4,5)=43,(0,2)=59,(1,5)=68,(0,1)=71,(0,4)=80,(2,4)=100]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(1)=1, Find(3)=0, Add (1,3)=31 Succeeded, w=34\",\"Find(3)=0, Find(5)=5, Add (3,5)=36 Succeeded, w=70\",\"Find(4)=4, Find(5)=0, Add (4,5)=43 Succeeded, w=113\",\"Find(0)=0, Find(2)=2, Add (0,2)=59 Succeeded, w=172\",\"Find(1)=0, Find(5)=0, Add (1,5)=68 Failed, w=172\",\"Find(0)=0, Find(1)=0, Add (0,1)=71 Failed, w=172\",\"Find(0)=0, Find(4)=0, Add (0,4)=80 Failed, w=172\",\"Find(2)=0, Find(4)=0, Add (2,4)=100 Failed, w=172\"],\"Answer\":172}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,59],[0,3,3],[0,4,80],[1,3,31],[1,5,68],[2,4,100],[3,5,36],[4,5,43]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=3,(1,3)=31,(3,5)=36,(4,5)=43,(0,2)=59,(1,5)=68,(0,1)=71,(0,4)=80,(2,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5}, Find(1)=1, Find(3)=0, Add (1,3)=31 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0}, Find(3)=0, Find(5)=5, Add (3,5)=36 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(4)=4, Find(5)=0, Add (4,5)=43 Succeeded, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=59 Succeeded, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=68 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=71 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=80 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=100 Failed, w=172\"],\"Answer\":172}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,22],[0,2,57],[0,3,6],[1,2,52],[1,3,65],[2,3,80]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,2,57],[0,3,6],[1,2,52],[1,3,65],[2,3,80]]}", "role": "user" }, { "content": "{\"Answer\":80}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,2,57],[0,3,6],[1,2,52],[1,3,65],[2,3,80]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"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],\"edges\":[[0,1,22],[0,2,57],[0,3,6],[1,2,52],[1,3,65],[2,3,80]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=6, w=6\",\"Add (0,1)=22, w=28\",\"Add (1,2)=52, w=80\"],\"Answer\":80}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,2,57],[0,3,6],[1,2,52],[1,3,65],[2,3,80]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=6 Succeeded, w=6\",\"Add (0,1)=22 Succeeded, w=28\",\"Add (1,2)=52 Succeeded, w=80\",\"Add (0,2)=57 Failed, w=80\",\"Add (1,3)=65 Failed, w=80\",\"Add (2,3)=80 Failed, w=80\"],\"Answer\":80}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,2,57],[0,3,6],[1,2,52],[1,3,65],[2,3,80]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=6,(0,1)=22,(1,2)=52,(0,2)=57,(1,3)=65,(2,3)=80]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=28\",\"Find(1)=0, Find(2)=2, Add (1,2)=52 Succeeded, w=80\",\"Find(0)=0, Find(2)=0, Add (0,2)=57 Failed, w=80\",\"Find(1)=0, Find(3)=0, Add (1,3)=65 Failed, w=80\",\"Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=80\"],\"Answer\":80}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,2,57],[0,3,6],[1,2,52],[1,3,65],[2,3,80]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=6,(0,1)=22,(1,2)=52,(0,2)=57,(1,3)=65,(2,3)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=52 Succeeded, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=57 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=65 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=80\"],\"Answer\":80}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,5],[0,4,99],[1,4,28],[2,3,41]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,5],[0,4,99],[1,4,28],[2,3,41]]}", "role": "user" }, { "content": "{\"Answer\":173}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,5],[0,4,99],[1,4,28],[2,3,41]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (0,4)\"],\"Answer\":173}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,5],[0,4,99],[1,4,28],[2,3,41]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=5, w=5\",\"Add (1,4)=28, w=33\",\"Add (2,3)=41, w=74\",\"Add (0,4)=99, w=173\"],\"Answer\":173}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,5],[0,4,99],[1,4,28],[2,3,41]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=5 Succeeded, w=5\",\"Add (1,4)=28 Succeeded, w=33\",\"Add (2,3)=41 Succeeded, w=74\",\"Add (0,4)=99 Succeeded, w=173\"],\"Answer\":173}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,5],[0,4,99],[1,4,28],[2,3,41]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=5,(1,4)=28,(2,3)=41,(0,4)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Find(1)=1, Find(4)=4, Add (1,4)=28 Succeeded, w=33\",\"Find(2)=0, Find(3)=3, Add (2,3)=41 Succeeded, w=74\",\"Find(0)=0, Find(4)=1, Add (0,4)=99 Succeeded, w=173\"],\"Answer\":173}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,5],[0,4,99],[1,4,28],[2,3,41]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=5,(1,4)=28,(2,3)=41,(0,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=28 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1}, Find(2)=0, Find(3)=3, Add (2,3)=41 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=99 Succeeded, w=173\"],\"Answer\":173}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,50],[0,3,72],[0,4,100],[0,6,36],[1,2,56],[1,3,100],[1,4,50],[1,5,98],[2,3,22],[2,4,23],[2,5,87],[2,6,35],[3,4,16],[3,5,37],[3,6,42],[4,5,25],[5,6,32]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,50],[0,3,72],[0,4,100],[0,6,36],[1,2,56],[1,3,100],[1,4,50],[1,5,98],[2,3,22],[2,4,23],[2,5,87],[2,6,35],[3,4,16],[3,5,37],[3,6,42],[4,5,25],[5,6,32]]}", "role": "user" }, { "content": "{\"Answer\":181}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,50],[0,3,72],[0,4,100],[0,6,36],[1,2,56],[1,3,100],[1,4,50],[1,5,98],[2,3,22],[2,4,23],[2,5,87],[2,6,35],[3,4,16],[3,5,37],[3,6,42],[4,5,25],[5,6,32]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)\",\"Add (2,3)\",\"Add (4,5)\",\"Add (5,6)\",\"Add (0,6)\",\"Add (0,1)\"],\"Answer\":181}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,50],[0,3,72],[0,4,100],[0,6,36],[1,2,56],[1,3,100],[1,4,50],[1,5,98],[2,3,22],[2,4,23],[2,5,87],[2,6,35],[3,4,16],[3,5,37],[3,6,42],[4,5,25],[5,6,32]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=16, w=16\",\"Add (2,3)=22, w=38\",\"Add (4,5)=25, w=63\",\"Add (5,6)=32, w=95\",\"Add (0,6)=36, w=131\",\"Add (0,1)=50, w=181\"],\"Answer\":181}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,50],[0,3,72],[0,4,100],[0,6,36],[1,2,56],[1,3,100],[1,4,50],[1,5,98],[2,3,22],[2,4,23],[2,5,87],[2,6,35],[3,4,16],[3,5,37],[3,6,42],[4,5,25],[5,6,32]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=16 Succeeded, w=16\",\"Add (2,3)=22 Succeeded, w=38\",\"Add (2,4)=23 Failed, w=38\",\"Add (4,5)=25 Succeeded, w=63\",\"Add (5,6)=32 Succeeded, w=95\",\"Add (2,6)=35 Failed, w=95\",\"Add (0,6)=36 Succeeded, w=131\",\"Add (3,5)=37 Failed, w=131\",\"Add (3,6)=42 Failed, w=131\",\"Add (0,1)=50 Succeeded, w=181\",\"Add (1,4)=50 Failed, w=181\",\"Add (1,2)=56 Failed, w=181\",\"Add (0,3)=72 Failed, w=181\",\"Add (2,5)=87 Failed, w=181\",\"Add (1,5)=98 Failed, w=181\",\"Add (0,4)=100 Failed, w=181\",\"Add (1,3)=100 Failed, w=181\"],\"Answer\":181}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,50],[0,3,72],[0,4,100],[0,6,36],[1,2,56],[1,3,100],[1,4,50],[1,5,98],[2,3,22],[2,4,23],[2,5,87],[2,6,35],[3,4,16],[3,5,37],[3,6,42],[4,5,25],[5,6,32]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=16,(2,3)=22,(2,4)=23,(4,5)=25,(5,6)=32,(2,6)=35,(0,6)=36,(3,5)=37,(3,6)=42,(0,1)=50,(1,4)=50,(1,2)=56,(0,3)=72,(2,5)=87,(1,5)=98,(0,4)=100,(1,3)=100]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=16 Succeeded, w=16\",\"Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=38\",\"Find(2)=3, Find(4)=3, Add (2,4)=23 Failed, w=38\",\"Find(4)=3, Find(5)=5, Add (4,5)=25 Succeeded, w=63\",\"Find(5)=3, Find(6)=6, Add (5,6)=32 Succeeded, w=95\",\"Find(2)=3, Find(6)=3, Add (2,6)=35 Failed, w=95\",\"Find(0)=0, Find(6)=3, Add (0,6)=36 Succeeded, w=131\",\"Find(3)=3, Find(5)=3, Add (3,5)=37 Failed, w=131\",\"Find(3)=3, Find(6)=3, Add (3,6)=42 Failed, w=131\",\"Find(0)=3, Find(1)=1, Add (0,1)=50 Succeeded, w=181\",\"Find(1)=3, Find(4)=3, Add (1,4)=50 Failed, w=181\",\"Find(1)=3, Find(2)=3, Add (1,2)=56 Failed, w=181\",\"Find(0)=3, Find(3)=3, Add (0,3)=72 Failed, w=181\",\"Find(2)=3, Find(5)=3, Add (2,5)=87 Failed, w=181\",\"Find(1)=3, Find(5)=3, Add (1,5)=98 Failed, w=181\",\"Find(0)=3, Find(4)=3, Add (0,4)=100 Failed, w=181\",\"Find(1)=3, Find(3)=3, Add (1,3)=100 Failed, w=181\"],\"Answer\":181}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,50],[0,3,72],[0,4,100],[0,6,36],[1,2,56],[1,3,100],[1,4,50],[1,5,98],[2,3,22],[2,4,23],[2,5,87],[2,6,35],[3,4,16],[3,5,37],[3,6,42],[4,5,25],[5,6,32]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=16,(2,3)=22,(2,4)=23,(4,5)=25,(5,6)=32,(2,6)=35,(0,6)=36,(3,5)=37,(3,6)=42,(0,1)=50,(1,4)=50,(1,2)=56,(0,3)=72,(2,5)=87,(1,5)=98,(0,4)=100,(1,3)=100]\",\"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)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5, 6: 6}, Find(2)=3, Find(4)=3, Add (2,4)=23 Failed, w=38\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6}, Find(4)=3, Find(5)=5, Add (4,5)=25 Succeeded, w=63\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=6, Add (5,6)=32 Succeeded, w=95\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=35 Failed, w=95\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=0, Find(6)=3, Add (0,6)=36 Succeeded, w=131\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(5)=3, Add (3,5)=37 Failed, w=131\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(6)=3, Add (3,6)=42 Failed, w=131\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=1, Add (0,1)=50 Succeeded, w=181\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=50 Failed, w=181\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=56 Failed, w=181\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=72 Failed, w=181\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=87 Failed, w=181\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=98 Failed, w=181\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=100 Failed, w=181\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=100 Failed, w=181\"],\"Answer\":181}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,98],[0,3,80],[0,5,69],[0,7,87],[1,2,24],[1,3,37],[1,4,34],[1,6,50],[1,7,31],[2,3,37],[2,4,51],[2,5,0],[2,6,64],[2,7,40],[3,4,23],[3,5,49],[3,6,97],[3,7,59],[4,5,94],[4,6,66],[4,7,11],[5,7,34],[6,7,71]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,98],[0,3,80],[0,5,69],[0,7,87],[1,2,24],[1,3,37],[1,4,34],[1,6,50],[1,7,31],[2,3,37],[2,4,51],[2,5,0],[2,6,64],[2,7,40],[3,4,23],[3,5,49],[3,6,97],[3,7,59],[4,5,94],[4,6,66],[4,7,11],[5,7,34],[6,7,71]]}", "role": "user" }, { "content": "{\"Answer\":208}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,98],[0,3,80],[0,5,69],[0,7,87],[1,2,24],[1,3,37],[1,4,34],[1,6,50],[1,7,31],[2,3,37],[2,4,51],[2,5,0],[2,6,64],[2,7,40],[3,4,23],[3,5,49],[3,6,97],[3,7,59],[4,5,94],[4,6,66],[4,7,11],[5,7,34],[6,7,71]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)\",\"Add (4,7)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (1,7)\",\"Add (1,6)\",\"Add (0,5)\"],\"Answer\":208}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,98],[0,3,80],[0,5,69],[0,7,87],[1,2,24],[1,3,37],[1,4,34],[1,6,50],[1,7,31],[2,3,37],[2,4,51],[2,5,0],[2,6,64],[2,7,40],[3,4,23],[3,5,49],[3,6,97],[3,7,59],[4,5,94],[4,6,66],[4,7,11],[5,7,34],[6,7,71]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=0, w=0\",\"Add (4,7)=11, w=11\",\"Add (3,4)=23, w=34\",\"Add (1,2)=24, w=58\",\"Add (1,7)=31, w=89\",\"Add (1,6)=50, w=139\",\"Add (0,5)=69, w=208\"],\"Answer\":208}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,98],[0,3,80],[0,5,69],[0,7,87],[1,2,24],[1,3,37],[1,4,34],[1,6,50],[1,7,31],[2,3,37],[2,4,51],[2,5,0],[2,6,64],[2,7,40],[3,4,23],[3,5,49],[3,6,97],[3,7,59],[4,5,94],[4,6,66],[4,7,11],[5,7,34],[6,7,71]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=0 Succeeded, w=0\",\"Add (4,7)=11 Succeeded, w=11\",\"Add (3,4)=23 Succeeded, w=34\",\"Add (1,2)=24 Succeeded, w=58\",\"Add (1,7)=31 Succeeded, w=89\",\"Add (1,4)=34 Failed, w=89\",\"Add (5,7)=34 Failed, w=89\",\"Add (1,3)=37 Failed, w=89\",\"Add (2,3)=37 Failed, w=89\",\"Add (2,7)=40 Failed, w=89\",\"Add (3,5)=49 Failed, w=89\",\"Add (1,6)=50 Succeeded, w=139\",\"Add (2,4)=51 Failed, w=139\",\"Add (3,7)=59 Failed, w=139\",\"Add (2,6)=64 Failed, w=139\",\"Add (4,6)=66 Failed, w=139\",\"Add (0,5)=69 Succeeded, w=208\",\"Add (6,7)=71 Failed, w=208\",\"Add (0,3)=80 Failed, w=208\",\"Add (0,7)=87 Failed, w=208\",\"Add (4,5)=94 Failed, w=208\",\"Add (3,6)=97 Failed, w=208\",\"Add (0,2)=98 Failed, w=208\"],\"Answer\":208}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,98],[0,3,80],[0,5,69],[0,7,87],[1,2,24],[1,3,37],[1,4,34],[1,6,50],[1,7,31],[2,3,37],[2,4,51],[2,5,0],[2,6,64],[2,7,40],[3,4,23],[3,5,49],[3,6,97],[3,7,59],[4,5,94],[4,6,66],[4,7,11],[5,7,34],[6,7,71]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=0,(4,7)=11,(3,4)=23,(1,2)=24,(1,7)=31,(1,4)=34,(5,7)=34,(1,3)=37,(2,3)=37,(2,7)=40,(3,5)=49,(1,6)=50,(2,4)=51,(3,7)=59,(2,6)=64,(4,6)=66,(0,5)=69,(6,7)=71,(0,3)=80,(0,7)=87,(4,5)=94,(3,6)=97,(0,2)=98]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Find(4)=4, Find(7)=7, Add (4,7)=11 Succeeded, w=11\",\"Find(3)=3, Find(4)=4, Add (3,4)=23 Succeeded, w=34\",\"Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=58\",\"Find(1)=2, Find(7)=4, Add (1,7)=31 Succeeded, w=89\",\"Find(1)=2, Find(4)=2, Add (1,4)=34 Failed, w=89\",\"Find(5)=2, Find(7)=2, Add (5,7)=34 Failed, w=89\",\"Find(1)=2, Find(3)=2, Add (1,3)=37 Failed, w=89\",\"Find(2)=2, Find(3)=2, Add (2,3)=37 Failed, w=89\",\"Find(2)=2, Find(7)=2, Add (2,7)=40 Failed, w=89\",\"Find(3)=2, Find(5)=2, Add (3,5)=49 Failed, w=89\",\"Find(1)=2, Find(6)=6, Add (1,6)=50 Succeeded, w=139\",\"Find(2)=2, Find(4)=2, Add (2,4)=51 Failed, w=139\",\"Find(3)=2, Find(7)=2, Add (3,7)=59 Failed, w=139\",\"Find(2)=2, Find(6)=2, Add (2,6)=64 Failed, w=139\",\"Find(4)=2, Find(6)=2, Add (4,6)=66 Failed, w=139\",\"Find(0)=0, Find(5)=2, Add (0,5)=69 Succeeded, w=208\",\"Find(6)=2, Find(7)=2, Add (6,7)=71 Failed, w=208\",\"Find(0)=2, Find(3)=2, Add (0,3)=80 Failed, w=208\",\"Find(0)=2, Find(7)=2, Add (0,7)=87 Failed, w=208\",\"Find(4)=2, Find(5)=2, Add (4,5)=94 Failed, w=208\",\"Find(3)=2, Find(6)=2, Add (3,6)=97 Failed, w=208\",\"Find(0)=2, Find(2)=2, Add (0,2)=98 Failed, w=208\"],\"Answer\":208}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,98],[0,3,80],[0,5,69],[0,7,87],[1,2,24],[1,3,37],[1,4,34],[1,6,50],[1,7,31],[2,3,37],[2,4,51],[2,5,0],[2,6,64],[2,7,40],[3,4,23],[3,5,49],[3,6,97],[3,7,59],[4,5,94],[4,6,66],[4,7,11],[5,7,34],[6,7,71]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=0,(4,7)=11,(3,4)=23,(1,2)=24,(1,7)=31,(1,4)=34,(5,7)=34,(1,3)=37,(2,3)=37,(2,7)=40,(3,5)=49,(1,6)=50,(2,4)=51,(3,7)=59,(2,6)=64,(4,6)=66,(0,5)=69,(6,7)=71,(0,3)=80,(0,7)=87,(4,5)=94,(3,6)=97,(0,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 2, 6: 6, 7: 4}, Find(3)=3, Find(4)=4, Add (3,4)=23 Succeeded, w=34\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 4, 4: 4, 5: 2, 6: 6, 7: 4}, Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=58\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 4, 4: 2, 5: 2, 6: 6, 7: 4}, Find(1)=2, Find(7)=4, Add (1,7)=31 Succeeded, w=89\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 4, 4: 2, 5: 2, 6: 6, 7: 4}, Find(1)=2, Find(4)=2, Add (1,4)=34 Failed, w=89\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 4, 4: 2, 5: 2, 6: 6, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=34 Failed, w=89\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=37 Failed, w=89\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=37 Failed, w=89\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=40 Failed, w=89\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=49 Failed, w=89\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(6)=6, Add (1,6)=50 Succeeded, w=139\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=51 Failed, w=139\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=59 Failed, w=139\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(6)=2, Add (2,6)=64 Failed, w=139\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=66 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=0, Find(5)=2, Add (0,5)=69 Succeeded, w=208\",\"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)=71 Failed, w=208\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=80 Failed, w=208\",\"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)=87 Failed, w=208\",\"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)=94 Failed, w=208\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=97 Failed, w=208\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=98 Failed, w=208\"],\"Answer\":208}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,76],[0,2,94],[0,3,84],[0,4,12],[0,5,54],[0,6,23],[0,7,68],[1,2,39],[1,3,37],[1,4,17],[1,5,93],[1,6,5],[1,7,9],[2,3,4],[2,4,55],[2,5,58],[2,7,25],[3,4,100],[3,5,31],[3,6,89],[3,7,12],[4,5,58],[4,6,10],[4,7,63],[5,6,16],[5,7,45],[6,7,53]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,94],[0,3,84],[0,4,12],[0,5,54],[0,6,23],[0,7,68],[1,2,39],[1,3,37],[1,4,17],[1,5,93],[1,6,5],[1,7,9],[2,3,4],[2,4,55],[2,5,58],[2,7,25],[3,4,100],[3,5,31],[3,6,89],[3,7,12],[4,5,58],[4,6,10],[4,7,63],[5,6,16],[5,7,45],[6,7,53]]}", "role": "user" }, { "content": "{\"Answer\":68}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,94],[0,3,84],[0,4,12],[0,5,54],[0,6,23],[0,7,68],[1,2,39],[1,3,37],[1,4,17],[1,5,93],[1,6,5],[1,7,9],[2,3,4],[2,4,55],[2,5,58],[2,7,25],[3,4,100],[3,5,31],[3,6,89],[3,7,12],[4,5,58],[4,6,10],[4,7,63],[5,6,16],[5,7,45],[6,7,53]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (1,6)\",\"Add (1,7)\",\"Add (4,6)\",\"Add (0,4)\",\"Add (3,7)\",\"Add (5,6)\"],\"Answer\":68}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,94],[0,3,84],[0,4,12],[0,5,54],[0,6,23],[0,7,68],[1,2,39],[1,3,37],[1,4,17],[1,5,93],[1,6,5],[1,7,9],[2,3,4],[2,4,55],[2,5,58],[2,7,25],[3,4,100],[3,5,31],[3,6,89],[3,7,12],[4,5,58],[4,6,10],[4,7,63],[5,6,16],[5,7,45],[6,7,53]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=4, w=4\",\"Add (1,6)=5, w=9\",\"Add (1,7)=9, w=18\",\"Add (4,6)=10, w=28\",\"Add (0,4)=12, w=40\",\"Add (3,7)=12, w=52\",\"Add (5,6)=16, w=68\"],\"Answer\":68}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,94],[0,3,84],[0,4,12],[0,5,54],[0,6,23],[0,7,68],[1,2,39],[1,3,37],[1,4,17],[1,5,93],[1,6,5],[1,7,9],[2,3,4],[2,4,55],[2,5,58],[2,7,25],[3,4,100],[3,5,31],[3,6,89],[3,7,12],[4,5,58],[4,6,10],[4,7,63],[5,6,16],[5,7,45],[6,7,53]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=4 Succeeded, w=4\",\"Add (1,6)=5 Succeeded, w=9\",\"Add (1,7)=9 Succeeded, w=18\",\"Add (4,6)=10 Succeeded, w=28\",\"Add (0,4)=12 Succeeded, w=40\",\"Add (3,7)=12 Succeeded, w=52\",\"Add (5,6)=16 Succeeded, w=68\",\"Add (1,4)=17 Failed, w=68\",\"Add (0,6)=23 Failed, w=68\",\"Add (2,7)=25 Failed, w=68\",\"Add (3,5)=31 Failed, w=68\",\"Add (1,3)=37 Failed, w=68\",\"Add (1,2)=39 Failed, w=68\",\"Add (5,7)=45 Failed, w=68\",\"Add (6,7)=53 Failed, w=68\",\"Add (0,5)=54 Failed, w=68\",\"Add (2,4)=55 Failed, w=68\",\"Add (2,5)=58 Failed, w=68\",\"Add (4,5)=58 Failed, w=68\",\"Add (4,7)=63 Failed, w=68\",\"Add (0,7)=68 Failed, w=68\",\"Add (0,1)=76 Failed, w=68\",\"Add (0,3)=84 Failed, w=68\",\"Add (3,6)=89 Failed, w=68\",\"Add (1,5)=93 Failed, w=68\",\"Add (0,2)=94 Failed, w=68\",\"Add (3,4)=100 Failed, w=68\"],\"Answer\":68}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,94],[0,3,84],[0,4,12],[0,5,54],[0,6,23],[0,7,68],[1,2,39],[1,3,37],[1,4,17],[1,5,93],[1,6,5],[1,7,9],[2,3,4],[2,4,55],[2,5,58],[2,7,25],[3,4,100],[3,5,31],[3,6,89],[3,7,12],[4,5,58],[4,6,10],[4,7,63],[5,6,16],[5,7,45],[6,7,53]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=4,(1,6)=5,(1,7)=9,(4,6)=10,(0,4)=12,(3,7)=12,(5,6)=16,(1,4)=17,(0,6)=23,(2,7)=25,(3,5)=31,(1,3)=37,(1,2)=39,(5,7)=45,(6,7)=53,(0,5)=54,(2,4)=55,(2,5)=58,(4,5)=58,(4,7)=63,(0,7)=68,(0,1)=76,(0,3)=84,(3,6)=89,(1,5)=93,(0,2)=94,(3,4)=100]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Find(1)=1, Find(6)=6, Add (1,6)=5 Succeeded, w=9\",\"Find(1)=1, Find(7)=7, Add (1,7)=9 Succeeded, w=18\",\"Find(4)=4, Find(6)=1, Add (4,6)=10 Succeeded, w=28\",\"Find(0)=0, Find(4)=1, Add (0,4)=12 Succeeded, w=40\",\"Find(3)=2, Find(7)=1, Add (3,7)=12 Succeeded, w=52\",\"Find(5)=5, Find(6)=2, Add (5,6)=16 Succeeded, w=68\",\"Find(1)=2, Find(4)=2, Add (1,4)=17 Failed, w=68\",\"Find(0)=2, Find(6)=2, Add (0,6)=23 Failed, w=68\",\"Find(2)=2, Find(7)=2, Add (2,7)=25 Failed, w=68\",\"Find(3)=2, Find(5)=2, Add (3,5)=31 Failed, w=68\",\"Find(1)=2, Find(3)=2, Add (1,3)=37 Failed, w=68\",\"Find(1)=2, Find(2)=2, Add (1,2)=39 Failed, w=68\",\"Find(5)=2, Find(7)=2, Add (5,7)=45 Failed, w=68\",\"Find(6)=2, Find(7)=2, Add (6,7)=53 Failed, w=68\",\"Find(0)=2, Find(5)=2, Add (0,5)=54 Failed, w=68\",\"Find(2)=2, Find(4)=2, Add (2,4)=55 Failed, w=68\",\"Find(2)=2, Find(5)=2, Add (2,5)=58 Failed, w=68\",\"Find(4)=2, Find(5)=2, Add (4,5)=58 Failed, w=68\",\"Find(4)=2, Find(7)=2, Add (4,7)=63 Failed, w=68\",\"Find(0)=2, Find(7)=2, Add (0,7)=68 Failed, w=68\",\"Find(0)=2, Find(1)=2, Add (0,1)=76 Failed, w=68\",\"Find(0)=2, Find(3)=2, Add (0,3)=84 Failed, w=68\",\"Find(3)=2, Find(6)=2, Add (3,6)=89 Failed, w=68\",\"Find(1)=2, Find(5)=2, Add (1,5)=93 Failed, w=68\",\"Find(0)=2, Find(2)=2, Add (0,2)=94 Failed, w=68\",\"Find(3)=2, Find(4)=2, Add (3,4)=100 Failed, w=68\"],\"Answer\":68}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,94],[0,3,84],[0,4,12],[0,5,54],[0,6,23],[0,7,68],[1,2,39],[1,3,37],[1,4,17],[1,5,93],[1,6,5],[1,7,9],[2,3,4],[2,4,55],[2,5,58],[2,7,25],[3,4,100],[3,5,31],[3,6,89],[3,7,12],[4,5,58],[4,6,10],[4,7,63],[5,6,16],[5,7,45],[6,7,53]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=4,(1,6)=5,(1,7)=9,(4,6)=10,(0,4)=12,(3,7)=12,(5,6)=16,(1,4)=17,(0,6)=23,(2,7)=25,(3,5)=31,(1,3)=37,(1,2)=39,(5,7)=45,(6,7)=53,(0,5)=54,(2,4)=55,(2,5)=58,(4,5)=58,(4,7)=63,(0,7)=68,(0,1)=76,(0,3)=84,(3,6)=89,(1,5)=93,(0,2)=94,(3,4)=100]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 1, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=9 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 5, 6: 1, 7: 1}, Find(4)=4, Find(6)=1, Add (4,6)=10 Succeeded, w=28\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 1, 5: 5, 6: 1, 7: 1}, Find(0)=0, Find(4)=1, Add (0,4)=12 Succeeded, w=40\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 1, 5: 5, 6: 1, 7: 1}, Find(3)=2, Find(7)=1, Add (3,7)=12 Succeeded, w=52\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 1}, Find(5)=5, Find(6)=2, Add (5,6)=16 Succeeded, w=68\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 1}, Find(1)=2, Find(4)=2, Add (1,4)=17 Failed, w=68\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 1}, Find(0)=2, Find(6)=2, Add (0,6)=23 Failed, w=68\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=25 Failed, w=68\",\"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)=31 Failed, w=68\",\"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)=37 Failed, w=68\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=39 Failed, w=68\",\"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)=45 Failed, w=68\",\"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)=53 Failed, w=68\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=54 Failed, w=68\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=55 Failed, w=68\",\"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)=58 Failed, w=68\",\"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)=58 Failed, w=68\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=63 Failed, w=68\",\"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)=68 Failed, w=68\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=76 Failed, w=68\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=84 Failed, w=68\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=89 Failed, w=68\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(5)=2, Add (1,5)=93 Failed, w=68\",\"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)=94 Failed, w=68\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=100 Failed, w=68\"],\"Answer\":68}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,33],[0,3,53],[0,6,61],[0,7,94],[1,3,61],[1,4,63],[1,5,89],[2,3,20],[2,4,15],[2,5,29],[3,4,43],[3,5,34],[3,7,53],[5,6,82],[6,7,92]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,33],[0,3,53],[0,6,61],[0,7,94],[1,3,61],[1,4,63],[1,5,89],[2,3,20],[2,4,15],[2,5,29],[3,4,43],[3,5,34],[3,7,53],[5,6,82],[6,7,92]]}", "role": "user" }, { "content": "{\"Answer\":264}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,33],[0,3,53],[0,6,61],[0,7,94],[1,3,61],[1,4,63],[1,5,89],[2,3,20],[2,4,15],[2,5,29],[3,4,43],[3,5,34],[3,7,53],[5,6,82],[6,7,92]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)\",\"Add (2,3)\",\"Add (2,5)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (3,7)\",\"Add (0,6)\"],\"Answer\":264}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,33],[0,3,53],[0,6,61],[0,7,94],[1,3,61],[1,4,63],[1,5,89],[2,3,20],[2,4,15],[2,5,29],[3,4,43],[3,5,34],[3,7,53],[5,6,82],[6,7,92]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=15, w=15\",\"Add (2,3)=20, w=35\",\"Add (2,5)=29, w=64\",\"Add (0,1)=33, w=97\",\"Add (0,3)=53, w=150\",\"Add (3,7)=53, w=203\",\"Add (0,6)=61, w=264\"],\"Answer\":264}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,33],[0,3,53],[0,6,61],[0,7,94],[1,3,61],[1,4,63],[1,5,89],[2,3,20],[2,4,15],[2,5,29],[3,4,43],[3,5,34],[3,7,53],[5,6,82],[6,7,92]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=15 Succeeded, w=15\",\"Add (2,3)=20 Succeeded, w=35\",\"Add (2,5)=29 Succeeded, w=64\",\"Add (0,1)=33 Succeeded, w=97\",\"Add (3,5)=34 Failed, w=97\",\"Add (3,4)=43 Failed, w=97\",\"Add (0,3)=53 Succeeded, w=150\",\"Add (3,7)=53 Succeeded, w=203\",\"Add (0,6)=61 Succeeded, w=264\",\"Add (1,3)=61 Failed, w=264\",\"Add (1,4)=63 Failed, w=264\",\"Add (5,6)=82 Failed, w=264\",\"Add (1,5)=89 Failed, w=264\",\"Add (6,7)=92 Failed, w=264\",\"Add (0,7)=94 Failed, w=264\"],\"Answer\":264}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,33],[0,3,53],[0,6,61],[0,7,94],[1,3,61],[1,4,63],[1,5,89],[2,3,20],[2,4,15],[2,5,29],[3,4,43],[3,5,34],[3,7,53],[5,6,82],[6,7,92]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=15,(2,3)=20,(2,5)=29,(0,1)=33,(3,5)=34,(3,4)=43,(0,3)=53,(3,7)=53,(0,6)=61,(1,3)=61,(1,4)=63,(5,6)=82,(1,5)=89,(6,7)=92,(0,7)=94]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=15\",\"Find(2)=2, Find(3)=3, Add (2,3)=20 Succeeded, w=35\",\"Find(2)=2, Find(5)=5, Add (2,5)=29 Succeeded, w=64\",\"Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=97\",\"Find(3)=2, Find(5)=2, Add (3,5)=34 Failed, w=97\",\"Find(3)=2, Find(4)=2, Add (3,4)=43 Failed, w=97\",\"Find(0)=0, Find(3)=2, Add (0,3)=53 Succeeded, w=150\",\"Find(3)=0, Find(7)=7, Add (3,7)=53 Succeeded, w=203\",\"Find(0)=0, Find(6)=6, Add (0,6)=61 Succeeded, w=264\",\"Find(1)=0, Find(3)=0, Add (1,3)=61 Failed, w=264\",\"Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=264\",\"Find(5)=0, Find(6)=0, Add (5,6)=82 Failed, w=264\",\"Find(1)=0, Find(5)=0, Add (1,5)=89 Failed, w=264\",\"Find(6)=0, Find(7)=0, Add (6,7)=92 Failed, w=264\",\"Find(0)=0, Find(7)=0, Add (0,7)=94 Failed, w=264\"],\"Answer\":264}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,33],[0,3,53],[0,6,61],[0,7,94],[1,3,61],[1,4,63],[1,5,89],[2,3,20],[2,4,15],[2,5,29],[3,4,43],[3,5,34],[3,7,53],[5,6,82],[6,7,92]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=15,(2,3)=20,(2,5)=29,(0,1)=33,(3,5)=34,(3,4)=43,(0,3)=53,(3,7)=53,(0,6)=61,(1,3)=61,(1,4)=63,(5,6)=82,(1,5)=89,(6,7)=92,(0,7)=94]\",\"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)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=20 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=29 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(3)=2, Find(5)=2, Add (3,5)=34 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(3)=2, Find(4)=2, Add (3,4)=43 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(0)=0, Find(3)=2, Add (0,3)=53 Succeeded, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 2, 6: 6, 7: 0}, Find(3)=0, Find(7)=7, Add (3,7)=53 Succeeded, w=203\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 2, 6: 0, 7: 0}, Find(0)=0, Find(6)=6, Add (0,6)=61 Succeeded, w=264\",\"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)=61 Failed, w=264\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=264\",\"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)=82 Failed, w=264\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=89 Failed, w=264\",\"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)=92 Failed, w=264\",\"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)=94 Failed, w=264\"],\"Answer\":264}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,81],[0,3,96],[0,4,93],[0,6,68],[0,7,20],[1,3,100],[1,5,89],[1,6,44],[1,7,49],[2,3,23],[2,4,32],[2,5,95],[2,6,15],[2,7,52],[3,4,88],[3,5,28],[3,6,72],[3,7,81],[4,5,99],[4,6,47],[4,7,33],[5,6,93],[5,7,36],[6,7,100]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,3,96],[0,4,93],[0,6,68],[0,7,20],[1,3,100],[1,5,89],[1,6,44],[1,7,49],[2,3,23],[2,4,32],[2,5,95],[2,6,15],[2,7,52],[3,4,88],[3,5,28],[3,6,72],[3,7,81],[4,5,99],[4,6,47],[4,7,33],[5,6,93],[5,7,36],[6,7,100]]}", "role": "user" }, { "content": "{\"Answer\":195}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,3,96],[0,4,93],[0,6,68],[0,7,20],[1,3,100],[1,5,89],[1,6,44],[1,7,49],[2,3,23],[2,4,32],[2,5,95],[2,6,15],[2,7,52],[3,4,88],[3,5,28],[3,6,72],[3,7,81],[4,5,99],[4,6,47],[4,7,33],[5,6,93],[5,7,36],[6,7,100]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,6)\",\"Add (0,7)\",\"Add (2,3)\",\"Add (3,5)\",\"Add (2,4)\",\"Add (4,7)\",\"Add (1,6)\"],\"Answer\":195}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,3,96],[0,4,93],[0,6,68],[0,7,20],[1,3,100],[1,5,89],[1,6,44],[1,7,49],[2,3,23],[2,4,32],[2,5,95],[2,6,15],[2,7,52],[3,4,88],[3,5,28],[3,6,72],[3,7,81],[4,5,99],[4,6,47],[4,7,33],[5,6,93],[5,7,36],[6,7,100]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,6)=15, w=15\",\"Add (0,7)=20, w=35\",\"Add (2,3)=23, w=58\",\"Add (3,5)=28, w=86\",\"Add (2,4)=32, w=118\",\"Add (4,7)=33, w=151\",\"Add (1,6)=44, w=195\"],\"Answer\":195}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,3,96],[0,4,93],[0,6,68],[0,7,20],[1,3,100],[1,5,89],[1,6,44],[1,7,49],[2,3,23],[2,4,32],[2,5,95],[2,6,15],[2,7,52],[3,4,88],[3,5,28],[3,6,72],[3,7,81],[4,5,99],[4,6,47],[4,7,33],[5,6,93],[5,7,36],[6,7,100]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,6)=15 Succeeded, w=15\",\"Add (0,7)=20 Succeeded, w=35\",\"Add (2,3)=23 Succeeded, w=58\",\"Add (3,5)=28 Succeeded, w=86\",\"Add (2,4)=32 Succeeded, w=118\",\"Add (4,7)=33 Succeeded, w=151\",\"Add (5,7)=36 Failed, w=151\",\"Add (1,6)=44 Succeeded, w=195\",\"Add (4,6)=47 Failed, w=195\",\"Add (1,7)=49 Failed, w=195\",\"Add (2,7)=52 Failed, w=195\",\"Add (0,6)=68 Failed, w=195\",\"Add (3,6)=72 Failed, w=195\",\"Add (0,1)=81 Failed, w=195\",\"Add (3,7)=81 Failed, w=195\",\"Add (3,4)=88 Failed, w=195\",\"Add (1,5)=89 Failed, w=195\",\"Add (0,4)=93 Failed, w=195\",\"Add (5,6)=93 Failed, w=195\",\"Add (2,5)=95 Failed, w=195\",\"Add (0,3)=96 Failed, w=195\",\"Add (4,5)=99 Failed, w=195\",\"Add (1,3)=100 Failed, w=195\",\"Add (6,7)=100 Failed, w=195\"],\"Answer\":195}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,3,96],[0,4,93],[0,6,68],[0,7,20],[1,3,100],[1,5,89],[1,6,44],[1,7,49],[2,3,23],[2,4,32],[2,5,95],[2,6,15],[2,7,52],[3,4,88],[3,5,28],[3,6,72],[3,7,81],[4,5,99],[4,6,47],[4,7,33],[5,6,93],[5,7,36],[6,7,100]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,6)=15,(0,7)=20,(2,3)=23,(3,5)=28,(2,4)=32,(4,7)=33,(5,7)=36,(1,6)=44,(4,6)=47,(1,7)=49,(2,7)=52,(0,6)=68,(3,6)=72,(0,1)=81,(3,7)=81,(3,4)=88,(1,5)=89,(0,4)=93,(5,6)=93,(2,5)=95,(0,3)=96,(4,5)=99,(1,3)=100,(6,7)=100]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=15 Succeeded, w=15\",\"Find(0)=0, Find(7)=7, Add (0,7)=20 Succeeded, w=35\",\"Find(2)=2, Find(3)=3, Add (2,3)=23 Succeeded, w=58\",\"Find(3)=2, Find(5)=5, Add (3,5)=28 Succeeded, w=86\",\"Find(2)=2, Find(4)=4, Add (2,4)=32 Succeeded, w=118\",\"Find(4)=2, Find(7)=0, Add (4,7)=33 Succeeded, w=151\",\"Find(5)=2, Find(7)=2, Add (5,7)=36 Failed, w=151\",\"Find(1)=1, Find(6)=2, Add (1,6)=44 Succeeded, w=195\",\"Find(4)=2, Find(6)=2, Add (4,6)=47 Failed, w=195\",\"Find(1)=2, Find(7)=2, Add (1,7)=49 Failed, w=195\",\"Find(2)=2, Find(7)=2, Add (2,7)=52 Failed, w=195\",\"Find(0)=2, Find(6)=2, Add (0,6)=68 Failed, w=195\",\"Find(3)=2, Find(6)=2, Add (3,6)=72 Failed, w=195\",\"Find(0)=2, Find(1)=2, Add (0,1)=81 Failed, w=195\",\"Find(3)=2, Find(7)=2, Add (3,7)=81 Failed, w=195\",\"Find(3)=2, Find(4)=2, Add (3,4)=88 Failed, w=195\",\"Find(1)=2, Find(5)=2, Add (1,5)=89 Failed, w=195\",\"Find(0)=2, Find(4)=2, Add (0,4)=93 Failed, w=195\",\"Find(5)=2, Find(6)=2, Add (5,6)=93 Failed, w=195\",\"Find(2)=2, Find(5)=2, Add (2,5)=95 Failed, w=195\",\"Find(0)=2, Find(3)=2, Add (0,3)=96 Failed, w=195\",\"Find(4)=2, Find(5)=2, Add (4,5)=99 Failed, w=195\",\"Find(1)=2, Find(3)=2, Add (1,3)=100 Failed, w=195\",\"Find(6)=2, Find(7)=2, Add (6,7)=100 Failed, w=195\"],\"Answer\":195}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,3,96],[0,4,93],[0,6,68],[0,7,20],[1,3,100],[1,5,89],[1,6,44],[1,7,49],[2,3,23],[2,4,32],[2,5,95],[2,6,15],[2,7,52],[3,4,88],[3,5,28],[3,6,72],[3,7,81],[4,5,99],[4,6,47],[4,7,33],[5,6,93],[5,7,36],[6,7,100]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,6)=15,(0,7)=20,(2,3)=23,(3,5)=28,(2,4)=32,(4,7)=33,(5,7)=36,(1,6)=44,(4,6)=47,(1,7)=49,(2,7)=52,(0,6)=68,(3,6)=72,(0,1)=81,(3,7)=81,(3,4)=88,(1,5)=89,(0,4)=93,(5,6)=93,(2,5)=95,(0,3)=96,(4,5)=99,(1,3)=100,(6,7)=100]\",\"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)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=20 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2, 7: 0}, Find(2)=2, Find(3)=3, Add (2,3)=23 Succeeded, w=58\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 0}, Find(3)=2, Find(5)=5, Add (3,5)=28 Succeeded, w=86\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 0}, Find(2)=2, Find(4)=4, Add (2,4)=32 Succeeded, w=118\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 0}, Find(4)=2, Find(7)=0, Add (4,7)=33 Succeeded, w=151\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=36 Failed, w=151\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=1, Find(6)=2, Add (1,6)=44 Succeeded, w=195\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=47 Failed, w=195\",\"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)=49 Failed, w=195\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=52 Failed, w=195\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=68 Failed, w=195\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=72 Failed, w=195\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=81 Failed, w=195\",\"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)=81 Failed, w=195\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=88 Failed, w=195\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(5)=2, Add (1,5)=89 Failed, w=195\",\"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)=93 Failed, w=195\",\"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)=93 Failed, w=195\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=95 Failed, w=195\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=96 Failed, w=195\",\"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)=99 Failed, w=195\",\"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)=100 Failed, w=195\",\"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)=100 Failed, w=195\"],\"Answer\":195}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,2],[0,2,61],[0,3,76],[1,2,53],[1,3,43]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,2,61],[0,3,76],[1,2,53],[1,3,43]]}", "role": "user" }, { "content": "{\"Answer\":98}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,2,61],[0,3,76],[1,2,53],[1,3,43]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":98}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,2,61],[0,3,76],[1,2,53],[1,3,43]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=2, w=2\",\"Add (1,3)=43, w=45\",\"Add (1,2)=53, w=98\"],\"Answer\":98}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,2,61],[0,3,76],[1,2,53],[1,3,43]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=2 Succeeded, w=2\",\"Add (1,3)=43 Succeeded, w=45\",\"Add (1,2)=53 Succeeded, w=98\",\"Add (0,2)=61 Failed, w=98\",\"Add (0,3)=76 Failed, w=98\"],\"Answer\":98}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,2,61],[0,3,76],[1,2,53],[1,3,43]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=2,(1,3)=43,(1,2)=53,(0,2)=61,(0,3)=76]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Find(1)=0, Find(3)=3, Add (1,3)=43 Succeeded, w=45\",\"Find(1)=0, Find(2)=2, Add (1,2)=53 Succeeded, w=98\",\"Find(0)=0, Find(2)=0, Add (0,2)=61 Failed, w=98\",\"Find(0)=0, Find(3)=0, Add (0,3)=76 Failed, w=98\"],\"Answer\":98}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,2,61],[0,3,76],[1,2,53],[1,3,43]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=2,(1,3)=43,(1,2)=53,(0,2)=61,(0,3)=76]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=43 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=53 Succeeded, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=61 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=76 Failed, w=98\"],\"Answer\":98}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,4,42],[0,6,9],[1,4,52],[2,4,21],[3,4,14],[3,5,52],[3,6,68],[4,5,94],[5,6,6]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,42],[0,6,9],[1,4,52],[2,4,21],[3,4,14],[3,5,52],[3,6,68],[4,5,94],[5,6,6]]}", "role": "user" }, { "content": "{\"Answer\":144}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,42],[0,6,9],[1,4,52],[2,4,21],[3,4,14],[3,5,52],[3,6,68],[4,5,94],[5,6,6]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)\",\"Add (0,6)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (0,4)\",\"Add (1,4)\"],\"Answer\":144}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,42],[0,6,9],[1,4,52],[2,4,21],[3,4,14],[3,5,52],[3,6,68],[4,5,94],[5,6,6]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)=6, w=6\",\"Add (0,6)=9, w=15\",\"Add (3,4)=14, w=29\",\"Add (2,4)=21, w=50\",\"Add (0,4)=42, w=92\",\"Add (1,4)=52, w=144\"],\"Answer\":144}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,42],[0,6,9],[1,4,52],[2,4,21],[3,4,14],[3,5,52],[3,6,68],[4,5,94],[5,6,6]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)=6 Succeeded, w=6\",\"Add (0,6)=9 Succeeded, w=15\",\"Add (3,4)=14 Succeeded, w=29\",\"Add (2,4)=21 Succeeded, w=50\",\"Add (0,4)=42 Succeeded, w=92\",\"Add (1,4)=52 Succeeded, w=144\",\"Add (3,5)=52 Failed, w=144\",\"Add (3,6)=68 Failed, w=144\",\"Add (4,5)=94 Failed, w=144\"],\"Answer\":144}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,42],[0,6,9],[1,4,52],[2,4,21],[3,4,14],[3,5,52],[3,6,68],[4,5,94],[5,6,6]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(5,6)=6,(0,6)=9,(3,4)=14,(2,4)=21,(0,4)=42,(1,4)=52,(3,5)=52,(3,6)=68,(4,5)=94]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=6 Succeeded, w=6\",\"Find(0)=0, Find(6)=5, Add (0,6)=9 Succeeded, w=15\",\"Find(3)=3, Find(4)=4, Add (3,4)=14 Succeeded, w=29\",\"Find(2)=2, Find(4)=3, Add (2,4)=21 Succeeded, w=50\",\"Find(0)=5, Find(4)=3, Add (0,4)=42 Succeeded, w=92\",\"Find(1)=1, Find(4)=5, Add (1,4)=52 Succeeded, w=144\",\"Find(3)=5, Find(5)=5, Add (3,5)=52 Failed, w=144\",\"Find(3)=5, Find(6)=5, Add (3,6)=68 Failed, w=144\",\"Find(4)=5, Find(5)=5, Add (4,5)=94 Failed, w=144\"],\"Answer\":144}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,42],[0,6,9],[1,4,52],[2,4,21],[3,4,14],[3,5,52],[3,6,68],[4,5,94],[5,6,6]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(5,6)=6,(0,6)=9,(3,4)=14,(2,4)=21,(0,4)=42,(1,4)=52,(3,5)=52,(3,6)=68,(4,5)=94]\",\"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: 5, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(6)=5, Add (0,6)=9 Succeeded, w=15\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 5}, Find(3)=3, Find(4)=4, Add (3,4)=14 Succeeded, w=29\",\"Parent: {0: 5, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5, 6: 5}, Find(2)=2, Find(4)=3, Add (2,4)=21 Succeeded, w=50\",\"Parent: {0: 5, 1: 1, 2: 3, 3: 5, 4: 3, 5: 5, 6: 5}, Find(0)=5, Find(4)=3, Add (0,4)=42 Succeeded, w=92\",\"Parent: {0: 5, 1: 5, 2: 3, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=1, Find(4)=5, Add (1,4)=52 Succeeded, w=144\",\"Parent: {0: 5, 1: 5, 2: 3, 3: 5, 4: 5, 5: 5, 6: 5}, Find(3)=5, Find(5)=5, Add (3,5)=52 Failed, w=144\",\"Parent: {0: 5, 1: 5, 2: 3, 3: 5, 4: 5, 5: 5, 6: 5}, Find(3)=5, Find(6)=5, Add (3,6)=68 Failed, w=144\",\"Parent: {0: 5, 1: 5, 2: 3, 3: 5, 4: 5, 5: 5, 6: 5}, Find(4)=5, Find(5)=5, Add (4,5)=94 Failed, w=144\"],\"Answer\":144}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,15],[0,3,23],[0,6,15],[0,7,97],[1,6,49],[1,7,11],[3,5,47],[4,5,78],[4,6,18],[5,7,41],[6,7,39]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,15],[0,3,23],[0,6,15],[0,7,97],[1,6,49],[1,7,11],[3,5,47],[4,5,78],[4,6,18],[5,7,41],[6,7,39]]}", "role": "user" }, { "content": "{\"Answer\":162}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,15],[0,3,23],[0,6,15],[0,7,97],[1,6,49],[1,7,11],[3,5,47],[4,5,78],[4,6,18],[5,7,41],[6,7,39]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,7)\",\"Add (0,2)\",\"Add (0,6)\",\"Add (4,6)\",\"Add (0,3)\",\"Add (6,7)\",\"Add (5,7)\"],\"Answer\":162}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,15],[0,3,23],[0,6,15],[0,7,97],[1,6,49],[1,7,11],[3,5,47],[4,5,78],[4,6,18],[5,7,41],[6,7,39]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,7)=11, w=11\",\"Add (0,2)=15, w=26\",\"Add (0,6)=15, w=41\",\"Add (4,6)=18, w=59\",\"Add (0,3)=23, w=82\",\"Add (6,7)=39, w=121\",\"Add (5,7)=41, w=162\"],\"Answer\":162}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,15],[0,3,23],[0,6,15],[0,7,97],[1,6,49],[1,7,11],[3,5,47],[4,5,78],[4,6,18],[5,7,41],[6,7,39]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,7)=11 Succeeded, w=11\",\"Add (0,2)=15 Succeeded, w=26\",\"Add (0,6)=15 Succeeded, w=41\",\"Add (4,6)=18 Succeeded, w=59\",\"Add (0,3)=23 Succeeded, w=82\",\"Add (6,7)=39 Succeeded, w=121\",\"Add (5,7)=41 Succeeded, w=162\",\"Add (3,5)=47 Failed, w=162\",\"Add (1,6)=49 Failed, w=162\",\"Add (4,5)=78 Failed, w=162\",\"Add (0,7)=97 Failed, w=162\"],\"Answer\":162}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,15],[0,3,23],[0,6,15],[0,7,97],[1,6,49],[1,7,11],[3,5,47],[4,5,78],[4,6,18],[5,7,41],[6,7,39]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,7)=11,(0,2)=15,(0,6)=15,(4,6)=18,(0,3)=23,(6,7)=39,(5,7)=41,(3,5)=47,(1,6)=49,(4,5)=78,(0,7)=97]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=11 Succeeded, w=11\",\"Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=26\",\"Find(0)=0, Find(6)=6, Add (0,6)=15 Succeeded, w=41\",\"Find(4)=4, Find(6)=0, Add (4,6)=18 Succeeded, w=59\",\"Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=82\",\"Find(6)=0, Find(7)=1, Add (6,7)=39 Succeeded, w=121\",\"Find(5)=5, Find(7)=0, Add (5,7)=41 Succeeded, w=162\",\"Find(3)=0, Find(5)=0, Add (3,5)=47 Failed, w=162\",\"Find(1)=0, Find(6)=0, Add (1,6)=49 Failed, w=162\",\"Find(4)=0, Find(5)=0, Add (4,5)=78 Failed, w=162\",\"Find(0)=0, Find(7)=0, Add (0,7)=97 Failed, w=162\"],\"Answer\":162}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,15],[0,3,23],[0,6,15],[0,7,97],[1,6,49],[1,7,11],[3,5,47],[4,5,78],[4,6,18],[5,7,41],[6,7,39]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,7)=11,(0,2)=15,(0,6)=15,(4,6)=18,(0,3)=23,(6,7)=39,(5,7)=41,(3,5)=47,(1,6)=49,(4,5)=78,(0,7)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0, 7: 1}, Find(0)=0, Find(6)=6, Add (0,6)=15 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0, 7: 1}, Find(4)=4, Find(6)=0, Add (4,6)=18 Succeeded, w=59\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 1}, Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 1}, Find(6)=0, Find(7)=1, Add (6,7)=39 Succeeded, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=5, Find(7)=0, Add (5,7)=41 Succeeded, w=162\",\"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)=47 Failed, w=162\",\"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)=49 Failed, w=162\",\"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)=78 Failed, w=162\",\"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)=97 Failed, w=162\"],\"Answer\":162}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,97],[0,2,92],[0,3,43],[1,3,7],[2,3,70]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,2,92],[0,3,43],[1,3,7],[2,3,70]]}", "role": "user" }, { "content": "{\"Answer\":120}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,2,92],[0,3,43],[1,3,7],[2,3,70]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":120}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,2,92],[0,3,43],[1,3,7],[2,3,70]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=7, w=7\",\"Add (0,3)=43, w=50\",\"Add (2,3)=70, w=120\"],\"Answer\":120}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,2,92],[0,3,43],[1,3,7],[2,3,70]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=7 Succeeded, w=7\",\"Add (0,3)=43 Succeeded, w=50\",\"Add (2,3)=70 Succeeded, w=120\",\"Add (0,2)=92 Failed, w=120\",\"Add (0,1)=97 Failed, w=120\"],\"Answer\":120}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,2,92],[0,3,43],[1,3,7],[2,3,70]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=7,(0,3)=43,(2,3)=70,(0,2)=92,(0,1)=97]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=7\",\"Find(0)=0, Find(3)=1, Add (0,3)=43 Succeeded, w=50\",\"Find(2)=2, Find(3)=1, Add (2,3)=70 Succeeded, w=120\",\"Find(0)=1, Find(2)=1, Add (0,2)=92 Failed, w=120\",\"Find(0)=1, Find(1)=1, Add (0,1)=97 Failed, w=120\"],\"Answer\":120}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,2,92],[0,3,43],[1,3,7],[2,3,70]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=7,(0,3)=43,(2,3)=70,(0,2)=92,(0,1)=97]\",\"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)=43 Succeeded, w=50\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=70 Succeeded, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=92 Failed, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=97 Failed, w=120\"],\"Answer\":120}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,84],[0,4,95],[0,6,78],[1,2,84],[1,4,40],[1,5,97],[1,6,30],[2,3,62],[2,5,38],[2,6,21],[3,4,68],[3,5,71],[3,6,60],[5,6,16]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,84],[0,4,95],[0,6,78],[1,2,84],[1,4,40],[1,5,97],[1,6,30],[2,3,62],[2,5,38],[2,6,21],[3,4,68],[3,5,71],[3,6,60],[5,6,16]]}", "role": "user" }, { "content": "{\"Answer\":245}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,84],[0,4,95],[0,6,78],[1,2,84],[1,4,40],[1,5,97],[1,6,30],[2,3,62],[2,5,38],[2,6,21],[3,4,68],[3,5,71],[3,6,60],[5,6,16]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)\",\"Add (2,6)\",\"Add (1,6)\",\"Add (1,4)\",\"Add (3,6)\",\"Add (0,6)\"],\"Answer\":245}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,84],[0,4,95],[0,6,78],[1,2,84],[1,4,40],[1,5,97],[1,6,30],[2,3,62],[2,5,38],[2,6,21],[3,4,68],[3,5,71],[3,6,60],[5,6,16]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)=16, w=16\",\"Add (2,6)=21, w=37\",\"Add (1,6)=30, w=67\",\"Add (1,4)=40, w=107\",\"Add (3,6)=60, w=167\",\"Add (0,6)=78, w=245\"],\"Answer\":245}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,84],[0,4,95],[0,6,78],[1,2,84],[1,4,40],[1,5,97],[1,6,30],[2,3,62],[2,5,38],[2,6,21],[3,4,68],[3,5,71],[3,6,60],[5,6,16]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)=16 Succeeded, w=16\",\"Add (2,6)=21 Succeeded, w=37\",\"Add (1,6)=30 Succeeded, w=67\",\"Add (2,5)=38 Failed, w=67\",\"Add (1,4)=40 Succeeded, w=107\",\"Add (3,6)=60 Succeeded, w=167\",\"Add (2,3)=62 Failed, w=167\",\"Add (3,4)=68 Failed, w=167\",\"Add (3,5)=71 Failed, w=167\",\"Add (0,6)=78 Succeeded, w=245\",\"Add (0,3)=84 Failed, w=245\",\"Add (1,2)=84 Failed, w=245\",\"Add (0,4)=95 Failed, w=245\",\"Add (1,5)=97 Failed, w=245\"],\"Answer\":245}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,84],[0,4,95],[0,6,78],[1,2,84],[1,4,40],[1,5,97],[1,6,30],[2,3,62],[2,5,38],[2,6,21],[3,4,68],[3,5,71],[3,6,60],[5,6,16]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(5,6)=16,(2,6)=21,(1,6)=30,(2,5)=38,(1,4)=40,(3,6)=60,(2,3)=62,(3,4)=68,(3,5)=71,(0,6)=78,(0,3)=84,(1,2)=84,(0,4)=95,(1,5)=97]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=16 Succeeded, w=16\",\"Find(2)=2, Find(6)=5, Add (2,6)=21 Succeeded, w=37\",\"Find(1)=1, Find(6)=5, Add (1,6)=30 Succeeded, w=67\",\"Find(2)=5, Find(5)=5, Add (2,5)=38 Failed, w=67\",\"Find(1)=5, Find(4)=4, Add (1,4)=40 Succeeded, w=107\",\"Find(3)=3, Find(6)=5, Add (3,6)=60 Succeeded, w=167\",\"Find(2)=5, Find(3)=5, Add (2,3)=62 Failed, w=167\",\"Find(3)=5, Find(4)=5, Add (3,4)=68 Failed, w=167\",\"Find(3)=5, Find(5)=5, Add (3,5)=71 Failed, w=167\",\"Find(0)=0, Find(6)=5, Add (0,6)=78 Succeeded, w=245\",\"Find(0)=5, Find(3)=5, Add (0,3)=84 Failed, w=245\",\"Find(1)=5, Find(2)=5, Add (1,2)=84 Failed, w=245\",\"Find(0)=5, Find(4)=5, Add (0,4)=95 Failed, w=245\",\"Find(1)=5, Find(5)=5, Add (1,5)=97 Failed, w=245\"],\"Answer\":245}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,84],[0,4,95],[0,6,78],[1,2,84],[1,4,40],[1,5,97],[1,6,30],[2,3,62],[2,5,38],[2,6,21],[3,4,68],[3,5,71],[3,6,60],[5,6,16]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(5,6)=16,(2,6)=21,(1,6)=30,(2,5)=38,(1,4)=40,(3,6)=60,(2,3)=62,(3,4)=68,(3,5)=71,(0,6)=78,(0,3)=84,(1,2)=84,(0,4)=95,(1,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5}, Find(2)=2, Find(6)=5, Add (2,6)=21 Succeeded, w=37\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5}, Find(1)=1, Find(6)=5, Add (1,6)=30 Succeeded, w=67\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5}, Find(2)=5, Find(5)=5, Add (2,5)=38 Failed, w=67\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 3, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(4)=4, Add (1,4)=40 Succeeded, w=107\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(3)=3, Find(6)=5, Add (3,6)=60 Succeeded, w=167\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(3)=5, Add (2,3)=62 Failed, w=167\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(3)=5, Find(4)=5, Add (3,4)=68 Failed, w=167\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(3)=5, Find(5)=5, Add (3,5)=71 Failed, w=167\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=0, Find(6)=5, Add (0,6)=78 Succeeded, w=245\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(3)=5, Add (0,3)=84 Failed, w=245\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(2)=5, Add (1,2)=84 Failed, w=245\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(4)=5, Add (0,4)=95 Failed, w=245\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(5)=5, Add (1,5)=97 Failed, w=245\"],\"Answer\":245}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,27],[0,3,90],[2,3,80]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,27],[0,3,90],[2,3,80]]}", "role": "user" }, { "content": "{\"Answer\":197}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,27],[0,3,90],[2,3,80]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":197}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,27],[0,3,90],[2,3,80]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=27, w=27\",\"Add (2,3)=80, w=107\",\"Add (0,3)=90, w=197\"],\"Answer\":197}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,27],[0,3,90],[2,3,80]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=27 Succeeded, w=27\",\"Add (2,3)=80 Succeeded, w=107\",\"Add (0,3)=90 Succeeded, w=197\"],\"Answer\":197}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,27],[0,3,90],[2,3,80]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=27,(2,3)=80,(0,3)=90]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=27\",\"Find(2)=2, Find(3)=3, Add (2,3)=80 Succeeded, w=107\",\"Find(0)=0, Find(3)=2, Add (0,3)=90 Succeeded, w=197\"],\"Answer\":197}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,27],[0,3,90],[2,3,80]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=27,(2,3)=80,(0,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=80 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=90 Succeeded, w=197\"],\"Answer\":197}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,6],[0,3,44],[0,4,60],[0,5,87],[0,6,20],[0,7,24],[1,3,48],[1,5,22],[1,6,11],[1,7,32],[2,3,14],[2,5,27],[2,7,40],[3,4,31],[3,5,1],[3,6,4],[3,7,24],[4,6,55],[5,6,4],[6,7,30]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,3,44],[0,4,60],[0,5,87],[0,6,20],[0,7,24],[1,3,48],[1,5,22],[1,6,11],[1,7,32],[2,3,14],[2,5,27],[2,7,40],[3,4,31],[3,5,1],[3,6,4],[3,7,24],[4,6,55],[5,6,4],[6,7,30]]}", "role": "user" }, { "content": "{\"Answer\":91}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,3,44],[0,4,60],[0,5,87],[0,6,20],[0,7,24],[1,3,48],[1,5,22],[1,6,11],[1,7,32],[2,3,14],[2,5,27],[2,7,40],[3,4,31],[3,5,1],[3,6,4],[3,7,24],[4,6,55],[5,6,4],[6,7,30]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)\",\"Add (3,6)\",\"Add (0,1)\",\"Add (1,6)\",\"Add (2,3)\",\"Add (0,7)\",\"Add (3,4)\"],\"Answer\":91}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,3,44],[0,4,60],[0,5,87],[0,6,20],[0,7,24],[1,3,48],[1,5,22],[1,6,11],[1,7,32],[2,3,14],[2,5,27],[2,7,40],[3,4,31],[3,5,1],[3,6,4],[3,7,24],[4,6,55],[5,6,4],[6,7,30]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=1, w=1\",\"Add (3,6)=4, w=5\",\"Add (0,1)=6, w=11\",\"Add (1,6)=11, w=22\",\"Add (2,3)=14, w=36\",\"Add (0,7)=24, w=60\",\"Add (3,4)=31, w=91\"],\"Answer\":91}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,3,44],[0,4,60],[0,5,87],[0,6,20],[0,7,24],[1,3,48],[1,5,22],[1,6,11],[1,7,32],[2,3,14],[2,5,27],[2,7,40],[3,4,31],[3,5,1],[3,6,4],[3,7,24],[4,6,55],[5,6,4],[6,7,30]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=1 Succeeded, w=1\",\"Add (3,6)=4 Succeeded, w=5\",\"Add (5,6)=4 Failed, w=5\",\"Add (0,1)=6 Succeeded, w=11\",\"Add (1,6)=11 Succeeded, w=22\",\"Add (2,3)=14 Succeeded, w=36\",\"Add (0,6)=20 Failed, w=36\",\"Add (1,5)=22 Failed, w=36\",\"Add (0,7)=24 Succeeded, w=60\",\"Add (3,7)=24 Failed, w=60\",\"Add (2,5)=27 Failed, w=60\",\"Add (6,7)=30 Failed, w=60\",\"Add (3,4)=31 Succeeded, w=91\",\"Add (1,7)=32 Failed, w=91\",\"Add (2,7)=40 Failed, w=91\",\"Add (0,3)=44 Failed, w=91\",\"Add (1,3)=48 Failed, w=91\",\"Add (4,6)=55 Failed, w=91\",\"Add (0,4)=60 Failed, w=91\",\"Add (0,5)=87 Failed, w=91\"],\"Answer\":91}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,3,44],[0,4,60],[0,5,87],[0,6,20],[0,7,24],[1,3,48],[1,5,22],[1,6,11],[1,7,32],[2,3,14],[2,5,27],[2,7,40],[3,4,31],[3,5,1],[3,6,4],[3,7,24],[4,6,55],[5,6,4],[6,7,30]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=1,(3,6)=4,(5,6)=4,(0,1)=6,(1,6)=11,(2,3)=14,(0,6)=20,(1,5)=22,(0,7)=24,(3,7)=24,(2,5)=27,(6,7)=30,(3,4)=31,(1,7)=32,(2,7)=40,(0,3)=44,(1,3)=48,(4,6)=55,(0,4)=60,(0,5)=87]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=1 Succeeded, w=1\",\"Find(3)=3, Find(6)=6, Add (3,6)=4 Succeeded, w=5\",\"Find(5)=3, Find(6)=3, Add (5,6)=4 Failed, w=5\",\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=11\",\"Find(1)=0, Find(6)=3, Add (1,6)=11 Succeeded, w=22\",\"Find(2)=2, Find(3)=0, Add (2,3)=14 Succeeded, w=36\",\"Find(0)=0, Find(6)=0, Add (0,6)=20 Failed, w=36\",\"Find(1)=0, Find(5)=0, Add (1,5)=22 Failed, w=36\",\"Find(0)=0, Find(7)=7, Add (0,7)=24 Succeeded, w=60\",\"Find(3)=0, Find(7)=0, Add (3,7)=24 Failed, w=60\",\"Find(2)=0, Find(5)=0, Add (2,5)=27 Failed, w=60\",\"Find(6)=0, Find(7)=0, Add (6,7)=30 Failed, w=60\",\"Find(3)=0, Find(4)=4, Add (3,4)=31 Succeeded, w=91\",\"Find(1)=0, Find(7)=0, Add (1,7)=32 Failed, w=91\",\"Find(2)=0, Find(7)=0, Add (2,7)=40 Failed, w=91\",\"Find(0)=0, Find(3)=0, Add (0,3)=44 Failed, w=91\",\"Find(1)=0, Find(3)=0, Add (1,3)=48 Failed, w=91\",\"Find(4)=0, Find(6)=0, Add (4,6)=55 Failed, w=91\",\"Find(0)=0, Find(4)=0, Add (0,4)=60 Failed, w=91\",\"Find(0)=0, Find(5)=0, Add (0,5)=87 Failed, w=91\"],\"Answer\":91}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,3,44],[0,4,60],[0,5,87],[0,6,20],[0,7,24],[1,3,48],[1,5,22],[1,6,11],[1,7,32],[2,3,14],[2,5,27],[2,7,40],[3,4,31],[3,5,1],[3,6,4],[3,7,24],[4,6,55],[5,6,4],[6,7,30]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=1,(3,6)=4,(5,6)=4,(0,1)=6,(1,6)=11,(2,3)=14,(0,6)=20,(1,5)=22,(0,7)=24,(3,7)=24,(2,5)=27,(6,7)=30,(3,4)=31,(1,7)=32,(2,7)=40,(0,3)=44,(1,3)=48,(4,6)=55,(0,4)=60,(0,5)=87]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3, 7: 7}, Find(5)=3, Find(6)=3, Add (5,6)=4 Failed, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 3, 6: 3, 7: 7}, Find(1)=0, Find(6)=3, Add (1,6)=11 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 3, 6: 3, 7: 7}, Find(2)=2, Find(3)=0, Add (2,3)=14 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 3, 6: 0, 7: 7}, Find(0)=0, Find(6)=0, Add (0,6)=20 Failed, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 7}, Find(1)=0, Find(5)=0, Add (1,5)=22 Failed, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=24 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=24 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=27 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=30 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=4, Add (3,4)=31 Succeeded, w=91\",\"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)=32 Failed, w=91\",\"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)=40 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=44 Failed, w=91\",\"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)=48 Failed, w=91\",\"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)=55 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=60 Failed, w=91\",\"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)=87 Failed, w=91\"],\"Answer\":91}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,71],[0,3,32],[0,4,65],[0,5,59],[0,6,29],[0,7,75],[1,2,91],[1,3,45],[1,4,55],[1,5,18],[1,6,54],[1,7,76],[2,3,19],[2,4,17],[2,6,68],[2,7,79],[3,5,73],[3,6,98],[3,7,1],[4,5,57],[4,6,12],[4,7,19],[5,6,77],[5,7,94]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,71],[0,3,32],[0,4,65],[0,5,59],[0,6,29],[0,7,75],[1,2,91],[1,3,45],[1,4,55],[1,5,18],[1,6,54],[1,7,76],[2,3,19],[2,4,17],[2,6,68],[2,7,79],[3,5,73],[3,6,98],[3,7,1],[4,5,57],[4,6,12],[4,7,19],[5,6,77],[5,7,94]]}", "role": "user" }, { "content": "{\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,71],[0,3,32],[0,4,65],[0,5,59],[0,6,29],[0,7,75],[1,2,91],[1,3,45],[1,4,55],[1,5,18],[1,6,54],[1,7,76],[2,3,19],[2,4,17],[2,6,68],[2,7,79],[3,5,73],[3,6,98],[3,7,1],[4,5,57],[4,6,12],[4,7,19],[5,6,77],[5,7,94]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,7)\",\"Add (4,6)\",\"Add (2,4)\",\"Add (1,5)\",\"Add (2,3)\",\"Add (0,6)\",\"Add (1,3)\"],\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,71],[0,3,32],[0,4,65],[0,5,59],[0,6,29],[0,7,75],[1,2,91],[1,3,45],[1,4,55],[1,5,18],[1,6,54],[1,7,76],[2,3,19],[2,4,17],[2,6,68],[2,7,79],[3,5,73],[3,6,98],[3,7,1],[4,5,57],[4,6,12],[4,7,19],[5,6,77],[5,7,94]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,7)=1, w=1\",\"Add (4,6)=12, w=13\",\"Add (2,4)=17, w=30\",\"Add (1,5)=18, w=48\",\"Add (2,3)=19, w=67\",\"Add (0,6)=29, w=96\",\"Add (1,3)=45, w=141\"],\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,71],[0,3,32],[0,4,65],[0,5,59],[0,6,29],[0,7,75],[1,2,91],[1,3,45],[1,4,55],[1,5,18],[1,6,54],[1,7,76],[2,3,19],[2,4,17],[2,6,68],[2,7,79],[3,5,73],[3,6,98],[3,7,1],[4,5,57],[4,6,12],[4,7,19],[5,6,77],[5,7,94]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,7)=1 Succeeded, w=1\",\"Add (4,6)=12 Succeeded, w=13\",\"Add (2,4)=17 Succeeded, w=30\",\"Add (1,5)=18 Succeeded, w=48\",\"Add (2,3)=19 Succeeded, w=67\",\"Add (4,7)=19 Failed, w=67\",\"Add (0,6)=29 Succeeded, w=96\",\"Add (0,3)=32 Failed, w=96\",\"Add (1,3)=45 Succeeded, w=141\",\"Add (1,6)=54 Failed, w=141\",\"Add (1,4)=55 Failed, w=141\",\"Add (4,5)=57 Failed, w=141\",\"Add (0,5)=59 Failed, w=141\",\"Add (0,4)=65 Failed, w=141\",\"Add (2,6)=68 Failed, w=141\",\"Add (0,2)=71 Failed, w=141\",\"Add (3,5)=73 Failed, w=141\",\"Add (0,7)=75 Failed, w=141\",\"Add (1,7)=76 Failed, w=141\",\"Add (5,6)=77 Failed, w=141\",\"Add (2,7)=79 Failed, w=141\",\"Add (1,2)=91 Failed, w=141\",\"Add (5,7)=94 Failed, w=141\",\"Add (3,6)=98 Failed, w=141\"],\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,71],[0,3,32],[0,4,65],[0,5,59],[0,6,29],[0,7,75],[1,2,91],[1,3,45],[1,4,55],[1,5,18],[1,6,54],[1,7,76],[2,3,19],[2,4,17],[2,6,68],[2,7,79],[3,5,73],[3,6,98],[3,7,1],[4,5,57],[4,6,12],[4,7,19],[5,6,77],[5,7,94]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,7)=1,(4,6)=12,(2,4)=17,(1,5)=18,(2,3)=19,(4,7)=19,(0,6)=29,(0,3)=32,(1,3)=45,(1,6)=54,(1,4)=55,(4,5)=57,(0,5)=59,(0,4)=65,(2,6)=68,(0,2)=71,(3,5)=73,(0,7)=75,(1,7)=76,(5,6)=77,(2,7)=79,(1,2)=91,(5,7)=94,(3,6)=98]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=1 Succeeded, w=1\",\"Find(4)=4, Find(6)=6, Add (4,6)=12 Succeeded, w=13\",\"Find(2)=2, Find(4)=4, Add (2,4)=17 Succeeded, w=30\",\"Find(1)=1, Find(5)=5, Add (1,5)=18 Succeeded, w=48\",\"Find(2)=4, Find(3)=3, Add (2,3)=19 Succeeded, w=67\",\"Find(4)=4, Find(7)=4, Add (4,7)=19 Failed, w=67\",\"Find(0)=0, Find(6)=4, Add (0,6)=29 Succeeded, w=96\",\"Find(0)=4, Find(3)=4, Add (0,3)=32 Failed, w=96\",\"Find(1)=1, Find(3)=4, Add (1,3)=45 Succeeded, w=141\",\"Find(1)=4, Find(6)=4, Add (1,6)=54 Failed, w=141\",\"Find(1)=4, Find(4)=4, Add (1,4)=55 Failed, w=141\",\"Find(4)=4, Find(5)=4, Add (4,5)=57 Failed, w=141\",\"Find(0)=4, Find(5)=4, Add (0,5)=59 Failed, w=141\",\"Find(0)=4, Find(4)=4, Add (0,4)=65 Failed, w=141\",\"Find(2)=4, Find(6)=4, Add (2,6)=68 Failed, w=141\",\"Find(0)=4, Find(2)=4, Add (0,2)=71 Failed, w=141\",\"Find(3)=4, Find(5)=4, Add (3,5)=73 Failed, w=141\",\"Find(0)=4, Find(7)=4, Add (0,7)=75 Failed, w=141\",\"Find(1)=4, Find(7)=4, Add (1,7)=76 Failed, w=141\",\"Find(5)=4, Find(6)=4, Add (5,6)=77 Failed, w=141\",\"Find(2)=4, Find(7)=4, Add (2,7)=79 Failed, w=141\",\"Find(1)=4, Find(2)=4, Add (1,2)=91 Failed, w=141\",\"Find(5)=4, Find(7)=4, Add (5,7)=94 Failed, w=141\",\"Find(3)=4, Find(6)=4, Add (3,6)=98 Failed, w=141\"],\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,71],[0,3,32],[0,4,65],[0,5,59],[0,6,29],[0,7,75],[1,2,91],[1,3,45],[1,4,55],[1,5,18],[1,6,54],[1,7,76],[2,3,19],[2,4,17],[2,6,68],[2,7,79],[3,5,73],[3,6,98],[3,7,1],[4,5,57],[4,6,12],[4,7,19],[5,6,77],[5,7,94]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,7)=1,(4,6)=12,(2,4)=17,(1,5)=18,(2,3)=19,(4,7)=19,(0,6)=29,(0,3)=32,(1,3)=45,(1,6)=54,(1,4)=55,(4,5)=57,(0,5)=59,(0,4)=65,(2,6)=68,(0,2)=71,(3,5)=73,(0,7)=75,(1,7)=76,(5,6)=77,(2,7)=79,(1,2)=91,(5,7)=94,(3,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 3}, Find(4)=4, Find(6)=6, Add (4,6)=12 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 5, 6: 4, 7: 3}, Find(2)=2, Find(4)=4, Add (2,4)=17 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 1, 6: 4, 7: 3}, Find(1)=1, Find(5)=5, Add (1,5)=18 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 1, 6: 4, 7: 3}, Find(2)=4, Find(3)=3, Add (2,3)=19 Succeeded, w=67\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 1, 6: 4, 7: 4}, Find(4)=4, Find(7)=4, Add (4,7)=19 Failed, w=67\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 1, 6: 4, 7: 4}, Find(0)=0, Find(6)=4, Add (0,6)=29 Succeeded, w=96\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 1, 6: 4, 7: 4}, Find(0)=4, Find(3)=4, Add (0,3)=32 Failed, w=96\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 1, 6: 4, 7: 4}, Find(1)=1, Find(3)=4, Add (1,3)=45 Succeeded, w=141\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 1, 6: 4, 7: 4}, Find(1)=4, Find(6)=4, Add (1,6)=54 Failed, w=141\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 1, 6: 4, 7: 4}, Find(1)=4, Find(4)=4, Add (1,4)=55 Failed, w=141\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(5)=4, Add (4,5)=57 Failed, w=141\",\"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)=59 Failed, w=141\",\"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)=65 Failed, w=141\",\"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)=68 Failed, w=141\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(2)=4, Add (0,2)=71 Failed, w=141\",\"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)=73 Failed, w=141\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(7)=4, Add (0,7)=75 Failed, w=141\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(7)=4, Add (1,7)=76 Failed, w=141\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(6)=4, Add (5,6)=77 Failed, w=141\",\"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)=79 Failed, w=141\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(2)=4, Add (1,2)=91 Failed, w=141\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(7)=4, Add (5,7)=94 Failed, w=141\",\"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)=98 Failed, w=141\"],\"Answer\":141}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,26],[0,3,99],[0,4,50],[0,5,7],[1,2,79],[1,3,96],[1,4,92],[1,5,6],[2,3,13],[2,5,53],[3,4,17],[3,5,19],[4,5,32]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,26],[0,3,99],[0,4,50],[0,5,7],[1,2,79],[1,3,96],[1,4,92],[1,5,6],[2,3,13],[2,5,53],[3,4,17],[3,5,19],[4,5,32]]}", "role": "user" }, { "content": "{\"Answer\":62}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,26],[0,3,99],[0,4,50],[0,5,7],[1,2,79],[1,3,96],[1,4,92],[1,5,6],[2,3,13],[2,5,53],[3,4,17],[3,5,19],[4,5,32]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)\",\"Add (0,5)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (3,5)\"],\"Answer\":62}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,26],[0,3,99],[0,4,50],[0,5,7],[1,2,79],[1,3,96],[1,4,92],[1,5,6],[2,3,13],[2,5,53],[3,4,17],[3,5,19],[4,5,32]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)=6, w=6\",\"Add (0,5)=7, w=13\",\"Add (2,3)=13, w=26\",\"Add (3,4)=17, w=43\",\"Add (3,5)=19, w=62\"],\"Answer\":62}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,26],[0,3,99],[0,4,50],[0,5,7],[1,2,79],[1,3,96],[1,4,92],[1,5,6],[2,3,13],[2,5,53],[3,4,17],[3,5,19],[4,5,32]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)=6 Succeeded, w=6\",\"Add (0,5)=7 Succeeded, w=13\",\"Add (2,3)=13 Succeeded, w=26\",\"Add (3,4)=17 Succeeded, w=43\",\"Add (3,5)=19 Succeeded, w=62\",\"Add (0,2)=26 Failed, w=62\",\"Add (4,5)=32 Failed, w=62\",\"Add (0,4)=50 Failed, w=62\",\"Add (2,5)=53 Failed, w=62\",\"Add (1,2)=79 Failed, w=62\",\"Add (1,4)=92 Failed, w=62\",\"Add (1,3)=96 Failed, w=62\",\"Add (0,3)=99 Failed, w=62\"],\"Answer\":62}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,26],[0,3,99],[0,4,50],[0,5,7],[1,2,79],[1,3,96],[1,4,92],[1,5,6],[2,3,13],[2,5,53],[3,4,17],[3,5,19],[4,5,32]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,5)=6,(0,5)=7,(2,3)=13,(3,4)=17,(3,5)=19,(0,2)=26,(4,5)=32,(0,4)=50,(2,5)=53,(1,2)=79,(1,4)=92,(1,3)=96,(0,3)=99]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=6 Succeeded, w=6\",\"Find(0)=0, Find(5)=1, Add (0,5)=7 Succeeded, w=13\",\"Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=26\",\"Find(3)=2, Find(4)=4, Add (3,4)=17 Succeeded, w=43\",\"Find(3)=2, Find(5)=1, Add (3,5)=19 Succeeded, w=62\",\"Find(0)=2, Find(2)=2, Add (0,2)=26 Failed, w=62\",\"Find(4)=2, Find(5)=2, Add (4,5)=32 Failed, w=62\",\"Find(0)=2, Find(4)=2, Add (0,4)=50 Failed, w=62\",\"Find(2)=2, Find(5)=2, Add (2,5)=53 Failed, w=62\",\"Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=62\",\"Find(1)=2, Find(4)=2, Add (1,4)=92 Failed, w=62\",\"Find(1)=2, Find(3)=2, Add (1,3)=96 Failed, w=62\",\"Find(0)=2, Find(3)=2, Add (0,3)=99 Failed, w=62\"],\"Answer\":62}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,26],[0,3,99],[0,4,50],[0,5,7],[1,2,79],[1,3,96],[1,4,92],[1,5,6],[2,3,13],[2,5,53],[3,4,17],[3,5,19],[4,5,32]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,5)=6,(0,5)=7,(2,3)=13,(3,4)=17,(3,5)=19,(0,2)=26,(4,5)=32,(0,4)=50,(2,5)=53,(1,2)=79,(1,4)=92,(1,3)=96,(0,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=6 Succeeded, w=6\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=7 Succeeded, w=13\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1}, Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=26\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1}, Find(3)=2, Find(4)=4, Add (3,4)=17 Succeeded, w=43\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(3)=2, Find(5)=1, Add (3,5)=19 Succeeded, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(0)=2, Find(2)=2, Add (0,2)=26 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=32 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=50 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=53 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=92 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=96 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=99 Failed, w=62\"],\"Answer\":62}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,69],[0,4,58],[1,3,23],[1,4,60],[2,3,97],[2,4,94],[3,4,46]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,69],[0,4,58],[1,3,23],[1,4,60],[2,3,97],[2,4,94],[3,4,46]]}", "role": "user" }, { "content": "{\"Answer\":221}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,69],[0,4,58],[1,3,23],[1,4,60],[2,3,97],[2,4,94],[3,4,46]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (2,4)\"],\"Answer\":221}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,69],[0,4,58],[1,3,23],[1,4,60],[2,3,97],[2,4,94],[3,4,46]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=23, w=23\",\"Add (3,4)=46, w=69\",\"Add (0,4)=58, w=127\",\"Add (2,4)=94, w=221\"],\"Answer\":221}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,69],[0,4,58],[1,3,23],[1,4,60],[2,3,97],[2,4,94],[3,4,46]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=23 Succeeded, w=23\",\"Add (3,4)=46 Succeeded, w=69\",\"Add (0,4)=58 Succeeded, w=127\",\"Add (1,4)=60 Failed, w=127\",\"Add (0,3)=69 Failed, w=127\",\"Add (2,4)=94 Succeeded, w=221\",\"Add (2,3)=97 Failed, w=221\"],\"Answer\":221}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,69],[0,4,58],[1,3,23],[1,4,60],[2,3,97],[2,4,94],[3,4,46]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=23,(3,4)=46,(0,4)=58,(1,4)=60,(0,3)=69,(2,4)=94,(2,3)=97]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=23\",\"Find(3)=1, Find(4)=4, Add (3,4)=46 Succeeded, w=69\",\"Find(0)=0, Find(4)=1, Add (0,4)=58 Succeeded, w=127\",\"Find(1)=1, Find(4)=1, Add (1,4)=60 Failed, w=127\",\"Find(0)=1, Find(3)=1, Add (0,3)=69 Failed, w=127\",\"Find(2)=2, Find(4)=1, Add (2,4)=94 Succeeded, w=221\",\"Find(2)=1, Find(3)=1, Add (2,3)=97 Failed, w=221\"],\"Answer\":221}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,69],[0,4,58],[1,3,23],[1,4,60],[2,3,97],[2,4,94],[3,4,46]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=23,(3,4)=46,(0,4)=58,(1,4)=60,(0,3)=69,(2,4)=94,(2,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=1, Find(4)=4, Add (3,4)=46 Succeeded, w=69\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=58 Succeeded, w=127\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=60 Failed, w=127\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=69 Failed, w=127\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=94 Succeeded, w=221\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=97 Failed, w=221\"],\"Answer\":221}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,47],[0,4,30],[0,6,53],[1,2,17],[1,3,85],[1,4,66],[1,5,44],[1,7,69],[2,3,65],[2,5,98],[2,7,6],[3,4,79],[3,5,44],[3,6,0],[3,7,21],[4,5,90],[4,7,45],[6,7,71]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,47],[0,4,30],[0,6,53],[1,2,17],[1,3,85],[1,4,66],[1,5,44],[1,7,69],[2,3,65],[2,5,98],[2,7,6],[3,4,79],[3,5,44],[3,6,0],[3,7,21],[4,5,90],[4,7,45],[6,7,71]]}", "role": "user" }, { "content": "{\"Answer\":163}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,47],[0,4,30],[0,6,53],[1,2,17],[1,3,85],[1,4,66],[1,5,44],[1,7,69],[2,3,65],[2,5,98],[2,7,6],[3,4,79],[3,5,44],[3,6,0],[3,7,21],[4,5,90],[4,7,45],[6,7,71]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)\",\"Add (2,7)\",\"Add (1,2)\",\"Add (3,7)\",\"Add (0,4)\",\"Add (1,5)\",\"Add (4,7)\"],\"Answer\":163}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,47],[0,4,30],[0,6,53],[1,2,17],[1,3,85],[1,4,66],[1,5,44],[1,7,69],[2,3,65],[2,5,98],[2,7,6],[3,4,79],[3,5,44],[3,6,0],[3,7,21],[4,5,90],[4,7,45],[6,7,71]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)=0, w=0\",\"Add (2,7)=6, w=6\",\"Add (1,2)=17, w=23\",\"Add (3,7)=21, w=44\",\"Add (0,4)=30, w=74\",\"Add (1,5)=44, w=118\",\"Add (4,7)=45, w=163\"],\"Answer\":163}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,47],[0,4,30],[0,6,53],[1,2,17],[1,3,85],[1,4,66],[1,5,44],[1,7,69],[2,3,65],[2,5,98],[2,7,6],[3,4,79],[3,5,44],[3,6,0],[3,7,21],[4,5,90],[4,7,45],[6,7,71]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)=0 Succeeded, w=0\",\"Add (2,7)=6 Succeeded, w=6\",\"Add (1,2)=17 Succeeded, w=23\",\"Add (3,7)=21 Succeeded, w=44\",\"Add (0,4)=30 Succeeded, w=74\",\"Add (1,5)=44 Succeeded, w=118\",\"Add (3,5)=44 Failed, w=118\",\"Add (4,7)=45 Succeeded, w=163\",\"Add (0,2)=47 Failed, w=163\",\"Add (0,6)=53 Failed, w=163\",\"Add (2,3)=65 Failed, w=163\",\"Add (1,4)=66 Failed, w=163\",\"Add (1,7)=69 Failed, w=163\",\"Add (6,7)=71 Failed, w=163\",\"Add (3,4)=79 Failed, w=163\",\"Add (1,3)=85 Failed, w=163\",\"Add (4,5)=90 Failed, w=163\",\"Add (2,5)=98 Failed, w=163\"],\"Answer\":163}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,47],[0,4,30],[0,6,53],[1,2,17],[1,3,85],[1,4,66],[1,5,44],[1,7,69],[2,3,65],[2,5,98],[2,7,6],[3,4,79],[3,5,44],[3,6,0],[3,7,21],[4,5,90],[4,7,45],[6,7,71]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,6)=0,(2,7)=6,(1,2)=17,(3,7)=21,(0,4)=30,(1,5)=44,(3,5)=44,(4,7)=45,(0,2)=47,(0,6)=53,(2,3)=65,(1,4)=66,(1,7)=69,(6,7)=71,(3,4)=79,(1,3)=85,(4,5)=90,(2,5)=98]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=0 Succeeded, w=0\",\"Find(2)=2, Find(7)=7, Add (2,7)=6 Succeeded, w=6\",\"Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=23\",\"Find(3)=3, Find(7)=2, Add (3,7)=21 Succeeded, w=44\",\"Find(0)=0, Find(4)=4, Add (0,4)=30 Succeeded, w=74\",\"Find(1)=3, Find(5)=5, Add (1,5)=44 Succeeded, w=118\",\"Find(3)=3, Find(5)=3, Add (3,5)=44 Failed, w=118\",\"Find(4)=0, Find(7)=3, Add (4,7)=45 Succeeded, w=163\",\"Find(0)=3, Find(2)=3, Add (0,2)=47 Failed, w=163\",\"Find(0)=3, Find(6)=3, Add (0,6)=53 Failed, w=163\",\"Find(2)=3, Find(3)=3, Add (2,3)=65 Failed, w=163\",\"Find(1)=3, Find(4)=3, Add (1,4)=66 Failed, w=163\",\"Find(1)=3, Find(7)=3, Add (1,7)=69 Failed, w=163\",\"Find(6)=3, Find(7)=3, Add (6,7)=71 Failed, w=163\",\"Find(3)=3, Find(4)=3, Add (3,4)=79 Failed, w=163\",\"Find(1)=3, Find(3)=3, Add (1,3)=85 Failed, w=163\",\"Find(4)=3, Find(5)=3, Add (4,5)=90 Failed, w=163\",\"Find(2)=3, Find(5)=3, Add (2,5)=98 Failed, w=163\"],\"Answer\":163}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,47],[0,4,30],[0,6,53],[1,2,17],[1,3,85],[1,4,66],[1,5,44],[1,7,69],[2,3,65],[2,5,98],[2,7,6],[3,4,79],[3,5,44],[3,6,0],[3,7,21],[4,5,90],[4,7,45],[6,7,71]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,6)=0,(2,7)=6,(1,2)=17,(3,7)=21,(0,4)=30,(1,5)=44,(3,5)=44,(4,7)=45,(0,2)=47,(0,6)=53,(2,3)=65,(1,4)=66,(1,7)=69,(6,7)=71,(3,4)=79,(1,3)=85,(4,5)=90,(2,5)=98]\",\"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: 2}, Find(2)=2, Find(7)=7, Add (2,7)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 2}, Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=23\",\"Parent: {0: 0, 1: 2, 2: 3, 3: 3, 4: 4, 5: 5, 6: 3, 7: 2}, Find(3)=3, Find(7)=2, Add (3,7)=21 Succeeded, w=44\",\"Parent: {0: 0, 1: 2, 2: 3, 3: 3, 4: 0, 5: 5, 6: 3, 7: 2}, Find(0)=0, Find(4)=4, Add (0,4)=30 Succeeded, w=74\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 0, 5: 3, 6: 3, 7: 2}, Find(1)=3, Find(5)=5, Add (1,5)=44 Succeeded, w=118\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 0, 5: 3, 6: 3, 7: 2}, Find(3)=3, Find(5)=3, Add (3,5)=44 Failed, w=118\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 0, 5: 3, 6: 3, 7: 3}, Find(4)=0, Find(7)=3, Add (4,7)=45 Succeeded, w=163\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 0, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(2)=3, Add (0,2)=47 Failed, w=163\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 0, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=53 Failed, w=163\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 0, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=65 Failed, w=163\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=66 Failed, w=163\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=69 Failed, w=163\",\"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)=71 Failed, w=163\",\"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)=79 Failed, w=163\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=85 Failed, w=163\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=90 Failed, w=163\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(5)=3, Add (2,5)=98 Failed, w=163\"],\"Answer\":163}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,64],[0,2,34],[0,3,77],[0,4,13],[0,5,88],[1,3,15],[1,5,22],[2,3,62],[2,4,86],[2,5,69],[3,4,100],[3,5,89],[4,5,10]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,64],[0,2,34],[0,3,77],[0,4,13],[0,5,88],[1,3,15],[1,5,22],[2,3,62],[2,4,86],[2,5,69],[3,4,100],[3,5,89],[4,5,10]]}", "role": "user" }, { "content": "{\"Answer\":94}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,64],[0,2,34],[0,3,77],[0,4,13],[0,5,88],[1,3,15],[1,5,22],[2,3,62],[2,4,86],[2,5,69],[3,4,100],[3,5,89],[4,5,10]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,5)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (1,5)\",\"Add (0,2)\"],\"Answer\":94}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,64],[0,2,34],[0,3,77],[0,4,13],[0,5,88],[1,3,15],[1,5,22],[2,3,62],[2,4,86],[2,5,69],[3,4,100],[3,5,89],[4,5,10]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,5)=10, w=10\",\"Add (0,4)=13, w=23\",\"Add (1,3)=15, w=38\",\"Add (1,5)=22, w=60\",\"Add (0,2)=34, w=94\"],\"Answer\":94}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,64],[0,2,34],[0,3,77],[0,4,13],[0,5,88],[1,3,15],[1,5,22],[2,3,62],[2,4,86],[2,5,69],[3,4,100],[3,5,89],[4,5,10]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,5)=10 Succeeded, w=10\",\"Add (0,4)=13 Succeeded, w=23\",\"Add (1,3)=15 Succeeded, w=38\",\"Add (1,5)=22 Succeeded, w=60\",\"Add (0,2)=34 Succeeded, w=94\",\"Add (2,3)=62 Failed, w=94\",\"Add (0,1)=64 Failed, w=94\",\"Add (2,5)=69 Failed, w=94\",\"Add (0,3)=77 Failed, w=94\",\"Add (2,4)=86 Failed, w=94\",\"Add (0,5)=88 Failed, w=94\",\"Add (3,5)=89 Failed, w=94\",\"Add (3,4)=100 Failed, w=94\"],\"Answer\":94}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,64],[0,2,34],[0,3,77],[0,4,13],[0,5,88],[1,3,15],[1,5,22],[2,3,62],[2,4,86],[2,5,69],[3,4,100],[3,5,89],[4,5,10]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(4,5)=10,(0,4)=13,(1,3)=15,(1,5)=22,(0,2)=34,(2,3)=62,(0,1)=64,(2,5)=69,(0,3)=77,(2,4)=86,(0,5)=88,(3,5)=89,(3,4)=100]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=10 Succeeded, w=10\",\"Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=23\",\"Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=38\",\"Find(1)=1, Find(5)=4, Add (1,5)=22 Succeeded, w=60\",\"Find(0)=1, Find(2)=2, Add (0,2)=34 Succeeded, w=94\",\"Find(2)=1, Find(3)=1, Add (2,3)=62 Failed, w=94\",\"Find(0)=1, Find(1)=1, Add (0,1)=64 Failed, w=94\",\"Find(2)=1, Find(5)=1, Add (2,5)=69 Failed, w=94\",\"Find(0)=1, Find(3)=1, Add (0,3)=77 Failed, w=94\",\"Find(2)=1, Find(4)=1, Add (2,4)=86 Failed, w=94\",\"Find(0)=1, Find(5)=1, Add (0,5)=88 Failed, w=94\",\"Find(3)=1, Find(5)=1, Add (3,5)=89 Failed, w=94\",\"Find(3)=1, Find(4)=1, Add (3,4)=100 Failed, w=94\"],\"Answer\":94}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,64],[0,2,34],[0,3,77],[0,4,13],[0,5,88],[1,3,15],[1,5,22],[2,3,62],[2,4,86],[2,5,69],[3,4,100],[3,5,89],[4,5,10]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(4,5)=10,(0,4)=13,(1,3)=15,(1,5)=22,(0,2)=34,(2,3)=62,(0,1)=64,(2,5)=69,(0,3)=77,(2,4)=86,(0,5)=88,(3,5)=89,(3,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=10 Succeeded, w=10\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=23\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4}, Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=38\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 1, 4: 1, 5: 4}, Find(1)=1, Find(5)=4, Add (1,5)=22 Succeeded, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(0)=1, Find(2)=2, Add (0,2)=34 Succeeded, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(2)=1, Find(3)=1, Add (2,3)=62 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(0)=1, Find(1)=1, Add (0,1)=64 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=69 Failed, w=94\",\"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=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=86 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=88 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=89 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=100 Failed, w=94\"],\"Answer\":94}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,60],[0,2,87],[0,3,49],[0,4,47],[0,5,1],[0,6,72],[1,2,62],[1,3,21],[1,4,0],[1,5,91],[1,6,67],[2,3,81],[2,4,74],[2,5,34],[2,6,26],[3,4,100],[3,5,47],[3,6,15],[4,5,55],[4,6,1],[5,6,69]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,60],[0,2,87],[0,3,49],[0,4,47],[0,5,1],[0,6,72],[1,2,62],[1,3,21],[1,4,0],[1,5,91],[1,6,67],[2,3,81],[2,4,74],[2,5,34],[2,6,26],[3,4,100],[3,5,47],[3,6,15],[4,5,55],[4,6,1],[5,6,69]]}", "role": "user" }, { "content": "{\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,60],[0,2,87],[0,3,49],[0,4,47],[0,5,1],[0,6,72],[1,2,62],[1,3,21],[1,4,0],[1,5,91],[1,6,67],[2,3,81],[2,4,74],[2,5,34],[2,6,26],[3,4,100],[3,5,47],[3,6,15],[4,5,55],[4,6,1],[5,6,69]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)\",\"Add (0,5)\",\"Add (4,6)\",\"Add (3,6)\",\"Add (2,6)\",\"Add (2,5)\"],\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,60],[0,2,87],[0,3,49],[0,4,47],[0,5,1],[0,6,72],[1,2,62],[1,3,21],[1,4,0],[1,5,91],[1,6,67],[2,3,81],[2,4,74],[2,5,34],[2,6,26],[3,4,100],[3,5,47],[3,6,15],[4,5,55],[4,6,1],[5,6,69]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (0,5)=1, w=1\",\"Add (4,6)=1, w=2\",\"Add (3,6)=15, w=17\",\"Add (2,6)=26, w=43\",\"Add (2,5)=34, w=77\"],\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,60],[0,2,87],[0,3,49],[0,4,47],[0,5,1],[0,6,72],[1,2,62],[1,3,21],[1,4,0],[1,5,91],[1,6,67],[2,3,81],[2,4,74],[2,5,34],[2,6,26],[3,4,100],[3,5,47],[3,6,15],[4,5,55],[4,6,1],[5,6,69]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (0,5)=1 Succeeded, w=1\",\"Add (4,6)=1 Succeeded, w=2\",\"Add (3,6)=15 Succeeded, w=17\",\"Add (1,3)=21 Failed, w=17\",\"Add (2,6)=26 Succeeded, w=43\",\"Add (2,5)=34 Succeeded, w=77\",\"Add (0,4)=47 Failed, w=77\",\"Add (3,5)=47 Failed, w=77\",\"Add (0,3)=49 Failed, w=77\",\"Add (4,5)=55 Failed, w=77\",\"Add (0,1)=60 Failed, w=77\",\"Add (1,2)=62 Failed, w=77\",\"Add (1,6)=67 Failed, w=77\",\"Add (5,6)=69 Failed, w=77\",\"Add (0,6)=72 Failed, w=77\",\"Add (2,4)=74 Failed, w=77\",\"Add (2,3)=81 Failed, w=77\",\"Add (0,2)=87 Failed, w=77\",\"Add (1,5)=91 Failed, w=77\",\"Add (3,4)=100 Failed, w=77\"],\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,60],[0,2,87],[0,3,49],[0,4,47],[0,5,1],[0,6,72],[1,2,62],[1,3,21],[1,4,0],[1,5,91],[1,6,67],[2,3,81],[2,4,74],[2,5,34],[2,6,26],[3,4,100],[3,5,47],[3,6,15],[4,5,55],[4,6,1],[5,6,69]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=0,(0,5)=1,(4,6)=1,(3,6)=15,(1,3)=21,(2,6)=26,(2,5)=34,(0,4)=47,(3,5)=47,(0,3)=49,(4,5)=55,(0,1)=60,(1,2)=62,(1,6)=67,(5,6)=69,(0,6)=72,(2,4)=74,(2,3)=81,(0,2)=87,(1,5)=91,(3,4)=100]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(5)=5, Add (0,5)=1 Succeeded, w=1\",\"Find(4)=1, Find(6)=6, Add (4,6)=1 Succeeded, w=2\",\"Find(3)=3, Find(6)=1, Add (3,6)=15 Succeeded, w=17\",\"Find(1)=1, Find(3)=1, Add (1,3)=21 Failed, w=17\",\"Find(2)=2, Find(6)=1, Add (2,6)=26 Succeeded, w=43\",\"Find(2)=1, Find(5)=0, Add (2,5)=34 Succeeded, w=77\",\"Find(0)=1, Find(4)=1, Add (0,4)=47 Failed, w=77\",\"Find(3)=1, Find(5)=1, Add (3,5)=47 Failed, w=77\",\"Find(0)=1, Find(3)=1, Add (0,3)=49 Failed, w=77\",\"Find(4)=1, Find(5)=1, Add (4,5)=55 Failed, w=77\",\"Find(0)=1, Find(1)=1, Add (0,1)=60 Failed, w=77\",\"Find(1)=1, Find(2)=1, Add (1,2)=62 Failed, w=77\",\"Find(1)=1, Find(6)=1, Add (1,6)=67 Failed, w=77\",\"Find(5)=1, Find(6)=1, Add (5,6)=69 Failed, w=77\",\"Find(0)=1, Find(6)=1, Add (0,6)=72 Failed, w=77\",\"Find(2)=1, Find(4)=1, Add (2,4)=74 Failed, w=77\",\"Find(2)=1, Find(3)=1, Add (2,3)=81 Failed, w=77\",\"Find(0)=1, Find(2)=1, Add (0,2)=87 Failed, w=77\",\"Find(1)=1, Find(5)=1, Add (1,5)=91 Failed, w=77\",\"Find(3)=1, Find(4)=1, Add (3,4)=100 Failed, w=77\"],\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,60],[0,2,87],[0,3,49],[0,4,47],[0,5,1],[0,6,72],[1,2,62],[1,3,21],[1,4,0],[1,5,91],[1,6,67],[2,3,81],[2,4,74],[2,5,34],[2,6,26],[3,4,100],[3,5,47],[3,6,15],[4,5,55],[4,6,1],[5,6,69]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=0,(0,5)=1,(4,6)=1,(3,6)=15,(1,3)=21,(2,6)=26,(2,5)=34,(0,4)=47,(3,5)=47,(0,3)=49,(4,5)=55,(0,1)=60,(1,2)=62,(1,6)=67,(5,6)=69,(0,6)=72,(2,4)=74,(2,3)=81,(0,2)=87,(1,5)=91,(3,4)=100]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0, 6: 1}, Find(4)=1, Find(6)=6, Add (4,6)=1 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 0, 6: 1}, Find(3)=3, Find(6)=1, Add (3,6)=15 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 0, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=21 Failed, w=17\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(2)=2, Find(6)=1, Add (2,6)=26 Succeeded, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(2)=1, Find(5)=0, Add (2,5)=34 Succeeded, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=47 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=47 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=49 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=55 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=60 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=62 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=67 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=69 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=72 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=74 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=81 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=87 Failed, w=77\",\"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=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=100 Failed, w=77\"],\"Answer\":77}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,2],[0,2,11],[0,3,19],[2,3,20]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,2,11],[0,3,19],[2,3,20]]}", "role": "user" }, { "content": "{\"Answer\":32}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,2,11],[0,3,19],[2,3,20]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":32}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,2,11],[0,3,19],[2,3,20]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=2, w=2\",\"Add (0,2)=11, w=13\",\"Add (0,3)=19, w=32\"],\"Answer\":32}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,2,11],[0,3,19],[2,3,20]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=2 Succeeded, w=2\",\"Add (0,2)=11 Succeeded, w=13\",\"Add (0,3)=19 Succeeded, w=32\",\"Add (2,3)=20 Failed, w=32\"],\"Answer\":32}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,2,11],[0,3,19],[2,3,20]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=2,(0,2)=11,(0,3)=19,(2,3)=20]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=13\",\"Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=32\",\"Find(2)=0, Find(3)=0, Add (2,3)=20 Failed, w=32\"],\"Answer\":32}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,2,11],[0,3,19],[2,3,20]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=2,(0,2)=11,(0,3)=19,(2,3)=20]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=20 Failed, w=32\"],\"Answer\":32}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,97],[0,2,97],[0,3,64],[0,4,51],[1,3,70],[1,4,68],[2,4,53],[2,5,15],[3,4,22],[4,5,35]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,97],[0,3,64],[0,4,51],[1,3,70],[1,4,68],[2,4,53],[2,5,15],[3,4,22],[4,5,35]]}", "role": "user" }, { "content": "{\"Answer\":191}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,97],[0,3,64],[0,4,51],[1,3,70],[1,4,68],[2,4,53],[2,5,15],[3,4,22],[4,5,35]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)\",\"Add (3,4)\",\"Add (4,5)\",\"Add (0,4)\",\"Add (1,4)\"],\"Answer\":191}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,97],[0,3,64],[0,4,51],[1,3,70],[1,4,68],[2,4,53],[2,5,15],[3,4,22],[4,5,35]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=15, w=15\",\"Add (3,4)=22, w=37\",\"Add (4,5)=35, w=72\",\"Add (0,4)=51, w=123\",\"Add (1,4)=68, w=191\"],\"Answer\":191}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,97],[0,3,64],[0,4,51],[1,3,70],[1,4,68],[2,4,53],[2,5,15],[3,4,22],[4,5,35]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=15 Succeeded, w=15\",\"Add (3,4)=22 Succeeded, w=37\",\"Add (4,5)=35 Succeeded, w=72\",\"Add (0,4)=51 Succeeded, w=123\",\"Add (2,4)=53 Failed, w=123\",\"Add (0,3)=64 Failed, w=123\",\"Add (1,4)=68 Succeeded, w=191\",\"Add (1,3)=70 Failed, w=191\",\"Add (0,1)=97 Failed, w=191\",\"Add (0,2)=97 Failed, w=191\"],\"Answer\":191}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,97],[0,3,64],[0,4,51],[1,3,70],[1,4,68],[2,4,53],[2,5,15],[3,4,22],[4,5,35]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=15,(3,4)=22,(4,5)=35,(0,4)=51,(2,4)=53,(0,3)=64,(1,4)=68,(1,3)=70,(0,1)=97,(0,2)=97]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=15 Succeeded, w=15\",\"Find(3)=3, Find(4)=4, Add (3,4)=22 Succeeded, w=37\",\"Find(4)=3, Find(5)=2, Add (4,5)=35 Succeeded, w=72\",\"Find(0)=0, Find(4)=3, Add (0,4)=51 Succeeded, w=123\",\"Find(2)=3, Find(4)=3, Add (2,4)=53 Failed, w=123\",\"Find(0)=3, Find(3)=3, Add (0,3)=64 Failed, w=123\",\"Find(1)=1, Find(4)=3, Add (1,4)=68 Succeeded, w=191\",\"Find(1)=3, Find(3)=3, Add (1,3)=70 Failed, w=191\",\"Find(0)=3, Find(1)=3, Add (0,1)=97 Failed, w=191\",\"Find(0)=3, Find(2)=3, Add (0,2)=97 Failed, w=191\"],\"Answer\":191}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,97],[0,3,64],[0,4,51],[1,3,70],[1,4,68],[2,4,53],[2,5,15],[3,4,22],[4,5,35]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=15,(3,4)=22,(4,5)=35,(0,4)=51,(2,4)=53,(0,3)=64,(1,4)=68,(1,3)=70,(0,1)=97,(0,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2}, Find(3)=3, Find(4)=4, Add (3,4)=22 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 2}, Find(4)=3, Find(5)=2, Add (4,5)=35 Succeeded, w=72\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 2}, Find(0)=0, Find(4)=3, Add (0,4)=51 Succeeded, w=123\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 2}, Find(2)=3, Find(4)=3, Add (2,4)=53 Failed, w=123\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 2}, Find(0)=3, Find(3)=3, Add (0,3)=64 Failed, w=123\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2}, Find(1)=1, Find(4)=3, Add (1,4)=68 Succeeded, w=191\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2}, Find(1)=3, Find(3)=3, Add (1,3)=70 Failed, w=191\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2}, Find(0)=3, Find(1)=3, Add (0,1)=97 Failed, w=191\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2}, Find(0)=3, Find(2)=3, Add (0,2)=97 Failed, w=191\"],\"Answer\":191}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,7],[0,3,68],[0,4,66],[1,2,18],[1,5,13],[2,4,31],[2,5,59],[3,4,26],[4,5,3]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,7],[0,3,68],[0,4,66],[1,2,18],[1,5,13],[2,4,31],[2,5,59],[3,4,26],[4,5,3]]}", "role": "user" }, { "content": "{\"Answer\":67}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,7],[0,3,68],[0,4,66],[1,2,18],[1,5,13],[2,4,31],[2,5,59],[3,4,26],[4,5,3]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,5)\",\"Add (0,2)\",\"Add (1,5)\",\"Add (1,2)\",\"Add (3,4)\"],\"Answer\":67}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,7],[0,3,68],[0,4,66],[1,2,18],[1,5,13],[2,4,31],[2,5,59],[3,4,26],[4,5,3]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,5)=3, w=3\",\"Add (0,2)=7, w=10\",\"Add (1,5)=13, w=23\",\"Add (1,2)=18, w=41\",\"Add (3,4)=26, w=67\"],\"Answer\":67}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,7],[0,3,68],[0,4,66],[1,2,18],[1,5,13],[2,4,31],[2,5,59],[3,4,26],[4,5,3]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,5)=3 Succeeded, w=3\",\"Add (0,2)=7 Succeeded, w=10\",\"Add (1,5)=13 Succeeded, w=23\",\"Add (1,2)=18 Succeeded, w=41\",\"Add (3,4)=26 Succeeded, w=67\",\"Add (2,4)=31 Failed, w=67\",\"Add (2,5)=59 Failed, w=67\",\"Add (0,4)=66 Failed, w=67\",\"Add (0,3)=68 Failed, w=67\"],\"Answer\":67}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,7],[0,3,68],[0,4,66],[1,2,18],[1,5,13],[2,4,31],[2,5,59],[3,4,26],[4,5,3]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(4,5)=3,(0,2)=7,(1,5)=13,(1,2)=18,(3,4)=26,(2,4)=31,(2,5)=59,(0,4)=66,(0,3)=68]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=3 Succeeded, w=3\",\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=10\",\"Find(1)=1, Find(5)=4, Add (1,5)=13 Succeeded, w=23\",\"Find(1)=4, Find(2)=0, Add (1,2)=18 Succeeded, w=41\",\"Find(3)=3, Find(4)=4, Add (3,4)=26 Succeeded, w=67\",\"Find(2)=4, Find(4)=4, Add (2,4)=31 Failed, w=67\",\"Find(2)=4, Find(5)=4, Add (2,5)=59 Failed, w=67\",\"Find(0)=4, Find(4)=4, Add (0,4)=66 Failed, w=67\",\"Find(0)=4, Find(3)=4, Add (0,3)=68 Failed, w=67\"],\"Answer\":67}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,7],[0,3,68],[0,4,66],[1,2,18],[1,5,13],[2,4,31],[2,5,59],[3,4,26],[4,5,3]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(4,5)=3,(0,2)=7,(1,5)=13,(1,2)=18,(3,4)=26,(2,4)=31,(2,5)=59,(0,4)=66,(0,3)=68]\",\"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: 0, 3: 3, 4: 4, 5: 4}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=10\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 3, 4: 4, 5: 4}, Find(1)=1, Find(5)=4, Add (1,5)=13 Succeeded, w=23\",\"Parent: {0: 4, 1: 4, 2: 0, 3: 3, 4: 4, 5: 4}, Find(1)=4, Find(2)=0, Add (1,2)=18 Succeeded, w=41\",\"Parent: {0: 4, 1: 4, 2: 0, 3: 4, 4: 4, 5: 4}, Find(3)=3, Find(4)=4, Add (3,4)=26 Succeeded, w=67\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=4, Find(4)=4, Add (2,4)=31 Failed, w=67\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=4, Find(5)=4, Add (2,5)=59 Failed, w=67\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(4)=4, Add (0,4)=66 Failed, w=67\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(3)=4, Add (0,3)=68 Failed, w=67\"],\"Answer\":67}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,3],[0,3,65],[1,3,81],[1,4,61],[2,3,58],[3,4,50]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,3],[0,3,65],[1,3,81],[1,4,61],[2,3,58],[3,4,50]]}", "role": "user" }, { "content": "{\"Answer\":172}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,3],[0,3,65],[1,3,81],[1,4,61],[2,3,58],[3,4,50]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (3,4)\",\"Add (2,3)\",\"Add (1,4)\"],\"Answer\":172}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,3],[0,3,65],[1,3,81],[1,4,61],[2,3,58],[3,4,50]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=3, w=3\",\"Add (3,4)=50, w=53\",\"Add (2,3)=58, w=111\",\"Add (1,4)=61, w=172\"],\"Answer\":172}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,3],[0,3,65],[1,3,81],[1,4,61],[2,3,58],[3,4,50]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=3 Succeeded, w=3\",\"Add (3,4)=50 Succeeded, w=53\",\"Add (2,3)=58 Succeeded, w=111\",\"Add (1,4)=61 Succeeded, w=172\",\"Add (0,3)=65 Failed, w=172\",\"Add (1,3)=81 Failed, w=172\"],\"Answer\":172}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,3],[0,3,65],[1,3,81],[1,4,61],[2,3,58],[3,4,50]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=3,(3,4)=50,(2,3)=58,(1,4)=61,(0,3)=65,(1,3)=81]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(3)=3, Find(4)=4, Add (3,4)=50 Succeeded, w=53\",\"Find(2)=0, Find(3)=3, Add (2,3)=58 Succeeded, w=111\",\"Find(1)=1, Find(4)=0, Add (1,4)=61 Succeeded, w=172\",\"Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=172\",\"Find(1)=0, Find(3)=0, Add (1,3)=81 Failed, w=172\"],\"Answer\":172}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,3],[0,3,65],[1,3,81],[1,4,61],[2,3,58],[3,4,50]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=3,(3,4)=50,(2,3)=58,(1,4)=61,(0,3)=65,(1,3)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=50 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(3)=3, Add (2,3)=58 Succeeded, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=61 Succeeded, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=81 Failed, w=172\"],\"Answer\":172}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,47],[0,2,6],[0,3,99],[1,2,22],[1,3,32],[2,3,7]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,2,6],[0,3,99],[1,2,22],[1,3,32],[2,3,7]]}", "role": "user" }, { "content": "{\"Answer\":35}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,2,6],[0,3,99],[1,2,22],[1,3,32],[2,3,7]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":35}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,2,6],[0,3,99],[1,2,22],[1,3,32],[2,3,7]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=6, w=6\",\"Add (2,3)=7, w=13\",\"Add (1,2)=22, w=35\"],\"Answer\":35}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,2,6],[0,3,99],[1,2,22],[1,3,32],[2,3,7]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=6 Succeeded, w=6\",\"Add (2,3)=7 Succeeded, w=13\",\"Add (1,2)=22 Succeeded, w=35\",\"Add (1,3)=32 Failed, w=35\",\"Add (0,1)=47 Failed, w=35\",\"Add (0,3)=99 Failed, w=35\"],\"Answer\":35}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,2,6],[0,3,99],[1,2,22],[1,3,32],[2,3,7]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=6,(2,3)=7,(1,2)=22,(1,3)=32,(0,1)=47,(0,3)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Find(2)=0, Find(3)=3, Add (2,3)=7 Succeeded, w=13\",\"Find(1)=1, Find(2)=0, Add (1,2)=22 Succeeded, w=35\",\"Find(1)=0, Find(3)=0, Add (1,3)=32 Failed, w=35\",\"Find(0)=0, Find(1)=0, Add (0,1)=47 Failed, w=35\",\"Find(0)=0, Find(3)=0, Add (0,3)=99 Failed, w=35\"],\"Answer\":35}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,2,6],[0,3,99],[1,2,22],[1,3,32],[2,3,7]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=6,(2,3)=7,(1,2)=22,(1,3)=32,(0,1)=47,(0,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=22 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=32 Failed, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=47 Failed, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=99 Failed, w=35\"],\"Answer\":35}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,5,33],[1,2,28],[1,4,72],[1,6,60],[2,3,16],[2,5,74],[2,6,71],[3,4,79],[3,5,7],[3,6,28],[4,6,94],[5,6,77]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,5,33],[1,2,28],[1,4,72],[1,6,60],[2,3,16],[2,5,74],[2,6,71],[3,4,79],[3,5,7],[3,6,28],[4,6,94],[5,6,77]]}", "role": "user" }, { "content": "{\"Answer\":184}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,5,33],[1,2,28],[1,4,72],[1,6,60],[2,3,16],[2,5,74],[2,6,71],[3,4,79],[3,5,7],[3,6,28],[4,6,94],[5,6,77]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)\",\"Add (2,3)\",\"Add (1,2)\",\"Add (3,6)\",\"Add (0,5)\",\"Add (1,4)\"],\"Answer\":184}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,5,33],[1,2,28],[1,4,72],[1,6,60],[2,3,16],[2,5,74],[2,6,71],[3,4,79],[3,5,7],[3,6,28],[4,6,94],[5,6,77]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=7, w=7\",\"Add (2,3)=16, w=23\",\"Add (1,2)=28, w=51\",\"Add (3,6)=28, w=79\",\"Add (0,5)=33, w=112\",\"Add (1,4)=72, w=184\"],\"Answer\":184}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,5,33],[1,2,28],[1,4,72],[1,6,60],[2,3,16],[2,5,74],[2,6,71],[3,4,79],[3,5,7],[3,6,28],[4,6,94],[5,6,77]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=7 Succeeded, w=7\",\"Add (2,3)=16 Succeeded, w=23\",\"Add (1,2)=28 Succeeded, w=51\",\"Add (3,6)=28 Succeeded, w=79\",\"Add (0,5)=33 Succeeded, w=112\",\"Add (1,6)=60 Failed, w=112\",\"Add (2,6)=71 Failed, w=112\",\"Add (1,4)=72 Succeeded, w=184\",\"Add (2,5)=74 Failed, w=184\",\"Add (5,6)=77 Failed, w=184\",\"Add (3,4)=79 Failed, w=184\",\"Add (4,6)=94 Failed, w=184\"],\"Answer\":184}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,5,33],[1,2,28],[1,4,72],[1,6,60],[2,3,16],[2,5,74],[2,6,71],[3,4,79],[3,5,7],[3,6,28],[4,6,94],[5,6,77]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=7,(2,3)=16,(1,2)=28,(3,6)=28,(0,5)=33,(1,6)=60,(2,6)=71,(1,4)=72,(2,5)=74,(5,6)=77,(3,4)=79,(4,6)=94]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=7 Succeeded, w=7\",\"Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=23\",\"Find(1)=1, Find(2)=3, Add (1,2)=28 Succeeded, w=51\",\"Find(3)=3, Find(6)=6, Add (3,6)=28 Succeeded, w=79\",\"Find(0)=0, Find(5)=3, Add (0,5)=33 Succeeded, w=112\",\"Find(1)=3, Find(6)=3, Add (1,6)=60 Failed, w=112\",\"Find(2)=3, Find(6)=3, Add (2,6)=71 Failed, w=112\",\"Find(1)=3, Find(4)=4, Add (1,4)=72 Succeeded, w=184\",\"Find(2)=3, Find(5)=3, Add (2,5)=74 Failed, w=184\",\"Find(5)=3, Find(6)=3, Add (5,6)=77 Failed, w=184\",\"Find(3)=3, Find(4)=3, Add (3,4)=79 Failed, w=184\",\"Find(4)=3, Find(6)=3, Add (4,6)=94 Failed, w=184\"],\"Answer\":184}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,5,33],[1,2,28],[1,4,72],[1,6,60],[2,3,16],[2,5,74],[2,6,71],[3,4,79],[3,5,7],[3,6,28],[4,6,94],[5,6,77]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=7,(2,3)=16,(1,2)=28,(3,6)=28,(0,5)=33,(1,6)=60,(2,6)=71,(1,4)=72,(2,5)=74,(5,6)=77,(3,4)=79,(4,6)=94]\",\"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)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=23\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 6}, Find(1)=1, Find(2)=3, Add (1,2)=28 Succeeded, w=51\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=28 Succeeded, w=79\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3}, Find(0)=0, Find(5)=3, Add (0,5)=33 Succeeded, w=112\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=60 Failed, w=112\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=71 Failed, w=112\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=4, Add (1,4)=72 Succeeded, w=184\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=74 Failed, w=184\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=77 Failed, w=184\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(4)=3, Add (3,4)=79 Failed, w=184\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=94 Failed, w=184\"],\"Answer\":184}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,76],[0,2,63],[0,3,64],[0,4,38],[0,5,88],[1,5,25],[2,3,52],[2,4,48],[2,5,14],[2,6,66],[3,4,47],[3,6,64],[4,6,66],[5,6,15]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,63],[0,3,64],[0,4,38],[0,5,88],[1,5,25],[2,3,52],[2,4,48],[2,5,14],[2,6,66],[3,4,47],[3,6,64],[4,6,66],[5,6,15]]}", "role": "user" }, { "content": "{\"Answer\":187}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,63],[0,3,64],[0,4,38],[0,5,88],[1,5,25],[2,3,52],[2,4,48],[2,5,14],[2,6,66],[3,4,47],[3,6,64],[4,6,66],[5,6,15]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)\",\"Add (5,6)\",\"Add (1,5)\",\"Add (0,4)\",\"Add (3,4)\",\"Add (2,4)\"],\"Answer\":187}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,63],[0,3,64],[0,4,38],[0,5,88],[1,5,25],[2,3,52],[2,4,48],[2,5,14],[2,6,66],[3,4,47],[3,6,64],[4,6,66],[5,6,15]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=14, w=14\",\"Add (5,6)=15, w=29\",\"Add (1,5)=25, w=54\",\"Add (0,4)=38, w=92\",\"Add (3,4)=47, w=139\",\"Add (2,4)=48, w=187\"],\"Answer\":187}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,63],[0,3,64],[0,4,38],[0,5,88],[1,5,25],[2,3,52],[2,4,48],[2,5,14],[2,6,66],[3,4,47],[3,6,64],[4,6,66],[5,6,15]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=14 Succeeded, w=14\",\"Add (5,6)=15 Succeeded, w=29\",\"Add (1,5)=25 Succeeded, w=54\",\"Add (0,4)=38 Succeeded, w=92\",\"Add (3,4)=47 Succeeded, w=139\",\"Add (2,4)=48 Succeeded, w=187\",\"Add (2,3)=52 Failed, w=187\",\"Add (0,2)=63 Failed, w=187\",\"Add (0,3)=64 Failed, w=187\",\"Add (3,6)=64 Failed, w=187\",\"Add (2,6)=66 Failed, w=187\",\"Add (4,6)=66 Failed, w=187\",\"Add (0,1)=76 Failed, w=187\",\"Add (0,5)=88 Failed, w=187\"],\"Answer\":187}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,63],[0,3,64],[0,4,38],[0,5,88],[1,5,25],[2,3,52],[2,4,48],[2,5,14],[2,6,66],[3,4,47],[3,6,64],[4,6,66],[5,6,15]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=14,(5,6)=15,(1,5)=25,(0,4)=38,(3,4)=47,(2,4)=48,(2,3)=52,(0,2)=63,(0,3)=64,(3,6)=64,(2,6)=66,(4,6)=66,(0,1)=76,(0,5)=88]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=14 Succeeded, w=14\",\"Find(5)=2, Find(6)=6, Add (5,6)=15 Succeeded, w=29\",\"Find(1)=1, Find(5)=2, Add (1,5)=25 Succeeded, w=54\",\"Find(0)=0, Find(4)=4, Add (0,4)=38 Succeeded, w=92\",\"Find(3)=3, Find(4)=0, Add (3,4)=47 Succeeded, w=139\",\"Find(2)=2, Find(4)=0, Add (2,4)=48 Succeeded, w=187\",\"Find(2)=2, Find(3)=2, Add (2,3)=52 Failed, w=187\",\"Find(0)=2, Find(2)=2, Add (0,2)=63 Failed, w=187\",\"Find(0)=2, Find(3)=2, Add (0,3)=64 Failed, w=187\",\"Find(3)=2, Find(6)=2, Add (3,6)=64 Failed, w=187\",\"Find(2)=2, Find(6)=2, Add (2,6)=66 Failed, w=187\",\"Find(4)=2, Find(6)=2, Add (4,6)=66 Failed, w=187\",\"Find(0)=2, Find(1)=2, Add (0,1)=76 Failed, w=187\",\"Find(0)=2, Find(5)=2, Add (0,5)=88 Failed, w=187\"],\"Answer\":187}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,63],[0,3,64],[0,4,38],[0,5,88],[1,5,25],[2,3,52],[2,4,48],[2,5,14],[2,6,66],[3,4,47],[3,6,64],[4,6,66],[5,6,15]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=14,(5,6)=15,(1,5)=25,(0,4)=38,(3,4)=47,(2,4)=48,(2,3)=52,(0,2)=63,(0,3)=64,(3,6)=64,(2,6)=66,(4,6)=66,(0,1)=76,(0,5)=88]\",\"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)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2}, Find(5)=2, Find(6)=6, Add (5,6)=15 Succeeded, w=29\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2}, Find(1)=1, Find(5)=2, Add (1,5)=25 Succeeded, w=54\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 0, 5: 2, 6: 2}, Find(0)=0, Find(4)=4, Add (0,4)=38 Succeeded, w=92\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 0, 5: 2, 6: 2}, Find(3)=3, Find(4)=0, Add (3,4)=47 Succeeded, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 0, 5: 2, 6: 2}, Find(2)=2, Find(4)=0, Add (2,4)=48 Succeeded, w=187\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=52 Failed, w=187\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=63 Failed, w=187\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=64 Failed, w=187\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=64 Failed, w=187\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=66 Failed, w=187\",\"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=187\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=76 Failed, w=187\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=88 Failed, w=187\"],\"Answer\":187}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,46],[0,2,81],[0,4,62],[0,6,43],[1,2,51],[1,3,70],[1,4,93],[1,5,38],[1,6,62],[2,4,39],[2,6,2],[3,4,16],[3,5,86],[3,6,86],[4,5,9],[5,6,13]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,81],[0,4,62],[0,6,43],[1,2,51],[1,3,70],[1,4,93],[1,5,38],[1,6,62],[2,4,39],[2,6,2],[3,4,16],[3,5,86],[3,6,86],[4,5,9],[5,6,13]]}", "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\":[[0,1,46],[0,2,81],[0,4,62],[0,6,43],[1,2,51],[1,3,70],[1,4,93],[1,5,38],[1,6,62],[2,4,39],[2,6,2],[3,4,16],[3,5,86],[3,6,86],[4,5,9],[5,6,13]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,6)\",\"Add (4,5)\",\"Add (5,6)\",\"Add (3,4)\",\"Add (1,5)\",\"Add (0,6)\"],\"Answer\":121}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,81],[0,4,62],[0,6,43],[1,2,51],[1,3,70],[1,4,93],[1,5,38],[1,6,62],[2,4,39],[2,6,2],[3,4,16],[3,5,86],[3,6,86],[4,5,9],[5,6,13]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,6)=2, w=2\",\"Add (4,5)=9, w=11\",\"Add (5,6)=13, w=24\",\"Add (3,4)=16, w=40\",\"Add (1,5)=38, w=78\",\"Add (0,6)=43, 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\":[[0,1,46],[0,2,81],[0,4,62],[0,6,43],[1,2,51],[1,3,70],[1,4,93],[1,5,38],[1,6,62],[2,4,39],[2,6,2],[3,4,16],[3,5,86],[3,6,86],[4,5,9],[5,6,13]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,6)=2 Succeeded, w=2\",\"Add (4,5)=9 Succeeded, w=11\",\"Add (5,6)=13 Succeeded, w=24\",\"Add (3,4)=16 Succeeded, w=40\",\"Add (1,5)=38 Succeeded, w=78\",\"Add (2,4)=39 Failed, w=78\",\"Add (0,6)=43 Succeeded, w=121\",\"Add (0,1)=46 Failed, w=121\",\"Add (1,2)=51 Failed, w=121\",\"Add (0,4)=62 Failed, w=121\",\"Add (1,6)=62 Failed, w=121\",\"Add (1,3)=70 Failed, w=121\",\"Add (0,2)=81 Failed, w=121\",\"Add (3,5)=86 Failed, w=121\",\"Add (3,6)=86 Failed, w=121\",\"Add (1,4)=93 Failed, w=121\"],\"Answer\":121}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,81],[0,4,62],[0,6,43],[1,2,51],[1,3,70],[1,4,93],[1,5,38],[1,6,62],[2,4,39],[2,6,2],[3,4,16],[3,5,86],[3,6,86],[4,5,9],[5,6,13]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,6)=2,(4,5)=9,(5,6)=13,(3,4)=16,(1,5)=38,(2,4)=39,(0,6)=43,(0,1)=46,(1,2)=51,(0,4)=62,(1,6)=62,(1,3)=70,(0,2)=81,(3,5)=86,(3,6)=86,(1,4)=93]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=2 Succeeded, w=2\",\"Find(4)=4, Find(5)=5, Add (4,5)=9 Succeeded, w=11\",\"Find(5)=4, Find(6)=2, Add (5,6)=13 Succeeded, w=24\",\"Find(3)=3, Find(4)=4, Add (3,4)=16 Succeeded, w=40\",\"Find(1)=1, Find(5)=4, Add (1,5)=38 Succeeded, w=78\",\"Find(2)=4, Find(4)=4, Add (2,4)=39 Failed, w=78\",\"Find(0)=0, Find(6)=4, Add (0,6)=43 Succeeded, w=121\",\"Find(0)=4, Find(1)=4, Add (0,1)=46 Failed, w=121\",\"Find(1)=4, Find(2)=4, Add (1,2)=51 Failed, w=121\",\"Find(0)=4, Find(4)=4, Add (0,4)=62 Failed, w=121\",\"Find(1)=4, Find(6)=4, Add (1,6)=62 Failed, w=121\",\"Find(1)=4, Find(3)=4, Add (1,3)=70 Failed, w=121\",\"Find(0)=4, Find(2)=4, Add (0,2)=81 Failed, w=121\",\"Find(3)=4, Find(5)=4, Add (3,5)=86 Failed, w=121\",\"Find(3)=4, Find(6)=4, Add (3,6)=86 Failed, w=121\",\"Find(1)=4, Find(4)=4, Add (1,4)=93 Failed, w=121\"],\"Answer\":121}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,81],[0,4,62],[0,6,43],[1,2,51],[1,3,70],[1,4,93],[1,5,38],[1,6,62],[2,4,39],[2,6,2],[3,4,16],[3,5,86],[3,6,86],[4,5,9],[5,6,13]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,6)=2,(4,5)=9,(5,6)=13,(3,4)=16,(1,5)=38,(2,4)=39,(0,6)=43,(0,1)=46,(1,2)=51,(0,4)=62,(1,6)=62,(1,3)=70,(0,2)=81,(3,5)=86,(3,6)=86,(1,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 2}, Find(4)=4, Find(5)=5, Add (4,5)=9 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4, 6: 2}, Find(5)=4, Find(6)=2, Add (5,6)=13 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 2}, Find(3)=3, Find(4)=4, Add (3,4)=16 Succeeded, w=40\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 2}, Find(1)=1, Find(5)=4, Add (1,5)=38 Succeeded, w=78\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 2}, Find(2)=4, Find(4)=4, Add (2,4)=39 Failed, w=78\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=0, Find(6)=4, Add (0,6)=43 Succeeded, w=121\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(1)=4, Add (0,1)=46 Failed, w=121\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(2)=4, Add (1,2)=51 Failed, w=121\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(4)=4, Add (0,4)=62 Failed, w=121\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(6)=4, Add (1,6)=62 Failed, w=121\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(3)=4, Add (1,3)=70 Failed, w=121\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(2)=4, Add (0,2)=81 Failed, w=121\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(5)=4, Add (3,5)=86 Failed, w=121\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(6)=4, Add (3,6)=86 Failed, w=121\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(4)=4, Add (1,4)=93 Failed, w=121\"],\"Answer\":121}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,4,67],[1,2,47],[2,4,78]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,67],[1,2,47],[2,4,78]]}", "role": "user" }, { "content": "{\"Answer\":192}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,67],[1,2,47],[2,4,78]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (0,4)\",\"Add (2,4)\"],\"Answer\":192}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,67],[1,2,47],[2,4,78]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=47, w=47\",\"Add (0,4)=67, w=114\",\"Add (2,4)=78, w=192\"],\"Answer\":192}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,67],[1,2,47],[2,4,78]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=47 Succeeded, w=47\",\"Add (0,4)=67 Succeeded, w=114\",\"Add (2,4)=78 Succeeded, w=192\"],\"Answer\":192}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,67],[1,2,47],[2,4,78]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=47,(0,4)=67,(2,4)=78]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=47 Succeeded, w=47\",\"Find(0)=0, Find(4)=4, Add (0,4)=67 Succeeded, w=114\",\"Find(2)=1, Find(4)=0, Add (2,4)=78 Succeeded, w=192\"],\"Answer\":192}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,67],[1,2,47],[2,4,78]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=47,(0,4)=67,(2,4)=78]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=47 Succeeded, w=47\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=67 Succeeded, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0}, Find(2)=1, Find(4)=0, Add (2,4)=78 Succeeded, w=192\"],\"Answer\":192}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,60],[0,2,48],[0,4,41],[0,5,12],[1,4,58],[2,5,78],[4,5,54]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,48],[0,4,41],[0,5,12],[1,4,58],[2,5,78],[4,5,54]]}", "role": "user" }, { "content": "{\"Answer\":159}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,48],[0,4,41],[0,5,12],[1,4,58],[2,5,78],[4,5,54]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (1,4)\"],\"Answer\":159}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,48],[0,4,41],[0,5,12],[1,4,58],[2,5,78],[4,5,54]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)=12, w=12\",\"Add (0,4)=41, w=53\",\"Add (0,2)=48, w=101\",\"Add (1,4)=58, w=159\"],\"Answer\":159}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,48],[0,4,41],[0,5,12],[1,4,58],[2,5,78],[4,5,54]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)=12 Succeeded, w=12\",\"Add (0,4)=41 Succeeded, w=53\",\"Add (0,2)=48 Succeeded, w=101\",\"Add (4,5)=54 Failed, w=101\",\"Add (1,4)=58 Succeeded, w=159\",\"Add (0,1)=60 Failed, w=159\",\"Add (2,5)=78 Failed, w=159\"],\"Answer\":159}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,48],[0,4,41],[0,5,12],[1,4,58],[2,5,78],[4,5,54]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,5)=12,(0,4)=41,(0,2)=48,(4,5)=54,(1,4)=58,(0,1)=60,(2,5)=78]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=12 Succeeded, w=12\",\"Find(0)=0, Find(4)=4, Add (0,4)=41 Succeeded, w=53\",\"Find(0)=0, Find(2)=2, Add (0,2)=48 Succeeded, w=101\",\"Find(4)=0, Find(5)=0, Add (4,5)=54 Failed, w=101\",\"Find(1)=1, Find(4)=0, Add (1,4)=58 Succeeded, w=159\",\"Find(0)=0, Find(1)=0, Add (0,1)=60 Failed, w=159\",\"Find(2)=0, Find(5)=0, Add (2,5)=78 Failed, w=159\"],\"Answer\":159}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,48],[0,4,41],[0,5,12],[1,4,58],[2,5,78],[4,5,54]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,5)=12,(0,4)=41,(0,2)=48,(4,5)=54,(1,4)=58,(0,1)=60,(2,5)=78]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(4)=4, Add (0,4)=41 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=48 Succeeded, w=101\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=54 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=1, Find(4)=0, Add (1,4)=58 Succeeded, w=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=60 Failed, w=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=78 Failed, w=159\"],\"Answer\":159}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,35],[0,2,35],[0,3,85],[0,4,20],[1,2,46],[1,3,32],[1,4,65],[2,3,98],[2,4,48],[3,4,62]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,35],[0,3,85],[0,4,20],[1,2,46],[1,3,32],[1,4,65],[2,3,98],[2,4,48],[3,4,62]]}", "role": "user" }, { "content": "{\"Answer\":122}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,35],[0,3,85],[0,4,20],[1,2,46],[1,3,32],[1,4,65],[2,3,98],[2,4,48],[3,4,62]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)\",\"Add (1,3)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":122}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,35],[0,3,85],[0,4,20],[1,2,46],[1,3,32],[1,4,65],[2,3,98],[2,4,48],[3,4,62]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)=20, w=20\",\"Add (1,3)=32, w=52\",\"Add (0,1)=35, w=87\",\"Add (0,2)=35, w=122\"],\"Answer\":122}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,35],[0,3,85],[0,4,20],[1,2,46],[1,3,32],[1,4,65],[2,3,98],[2,4,48],[3,4,62]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)=20 Succeeded, w=20\",\"Add (1,3)=32 Succeeded, w=52\",\"Add (0,1)=35 Succeeded, w=87\",\"Add (0,2)=35 Succeeded, w=122\",\"Add (1,2)=46 Failed, w=122\",\"Add (2,4)=48 Failed, w=122\",\"Add (3,4)=62 Failed, w=122\",\"Add (1,4)=65 Failed, w=122\",\"Add (0,3)=85 Failed, w=122\",\"Add (2,3)=98 Failed, w=122\"],\"Answer\":122}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,35],[0,3,85],[0,4,20],[1,2,46],[1,3,32],[1,4,65],[2,3,98],[2,4,48],[3,4,62]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,4)=20,(1,3)=32,(0,1)=35,(0,2)=35,(1,2)=46,(2,4)=48,(3,4)=62,(1,4)=65,(0,3)=85,(2,3)=98]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=20 Succeeded, w=20\",\"Find(1)=1, Find(3)=3, Add (1,3)=32 Succeeded, w=52\",\"Find(0)=0, Find(1)=1, Add (0,1)=35 Succeeded, w=87\",\"Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=122\",\"Find(1)=0, Find(2)=0, Add (1,2)=46 Failed, w=122\",\"Find(2)=0, Find(4)=0, Add (2,4)=48 Failed, w=122\",\"Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=122\",\"Find(1)=0, Find(4)=0, Add (1,4)=65 Failed, w=122\",\"Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=122\",\"Find(2)=0, Find(3)=0, Add (2,3)=98 Failed, w=122\"],\"Answer\":122}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,35],[0,3,85],[0,4,20],[1,2,46],[1,3,32],[1,4,65],[2,3,98],[2,4,48],[3,4,62]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,4)=20,(1,3)=32,(0,1)=35,(0,2)=35,(1,2)=46,(2,4)=48,(3,4)=62,(1,4)=65,(0,3)=85,(2,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0}, Find(1)=1, Find(3)=3, Add (1,3)=32 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=35 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=46 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=48 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=65 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=98 Failed, w=122\"],\"Answer\":122}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,69],[1,2,27],[1,3,0]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,69],[1,2,27],[1,3,0]]}", "role": "user" }, { "content": "{\"Answer\":96}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,69],[1,2,27],[1,3,0]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":96}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,69],[1,2,27],[1,3,0]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (1,2)=27, w=27\",\"Add (0,2)=69, w=96\"],\"Answer\":96}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,69],[1,2,27],[1,3,0]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (1,2)=27 Succeeded, w=27\",\"Add (0,2)=69 Succeeded, w=96\"],\"Answer\":96}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,69],[1,2,27],[1,3,0]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=0,(1,2)=27,(0,2)=69]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=27\",\"Find(0)=0, Find(2)=1, Add (0,2)=69 Succeeded, w=96\"],\"Answer\":96}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,69],[1,2,27],[1,3,0]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=0,(1,2)=27,(0,2)=69]\",\"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: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=27\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=69 Succeeded, w=96\"],\"Answer\":96}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,91],[0,3,4],[1,3,40]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,91],[0,3,4],[1,3,40]]}", "role": "user" }, { "content": "{\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,91],[0,3,4],[1,3,40]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,91],[0,3,4],[1,3,40]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=4, w=4\",\"Add (1,3)=40, w=44\",\"Add (0,2)=91, w=135\"],\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,91],[0,3,4],[1,3,40]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=4 Succeeded, w=4\",\"Add (1,3)=40 Succeeded, w=44\",\"Add (0,2)=91 Succeeded, w=135\"],\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,91],[0,3,4],[1,3,40]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=4,(1,3)=40,(0,2)=91]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Find(1)=1, Find(3)=0, Add (1,3)=40 Succeeded, w=44\",\"Find(0)=0, Find(2)=2, Add (0,2)=91 Succeeded, w=135\"],\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,91],[0,3,4],[1,3,40]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=4,(1,3)=40,(0,2)=91]\",\"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: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=40 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=91 Succeeded, w=135\"],\"Answer\":135}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,61],[0,2,46],[0,3,10],[0,4,5],[1,2,71],[1,3,7],[1,4,68],[2,3,84],[2,4,45]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,2,46],[0,3,10],[0,4,5],[1,2,71],[1,3,7],[1,4,68],[2,3,84],[2,4,45]]}", "role": "user" }, { "content": "{\"Answer\":67}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,2,46],[0,3,10],[0,4,5],[1,2,71],[1,3,7],[1,4,68],[2,3,84],[2,4,45]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)\",\"Add (1,3)\",\"Add (0,3)\",\"Add (2,4)\"],\"Answer\":67}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,2,46],[0,3,10],[0,4,5],[1,2,71],[1,3,7],[1,4,68],[2,3,84],[2,4,45]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)=5, w=5\",\"Add (1,3)=7, w=12\",\"Add (0,3)=10, w=22\",\"Add (2,4)=45, w=67\"],\"Answer\":67}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,2,46],[0,3,10],[0,4,5],[1,2,71],[1,3,7],[1,4,68],[2,3,84],[2,4,45]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)=5 Succeeded, w=5\",\"Add (1,3)=7 Succeeded, w=12\",\"Add (0,3)=10 Succeeded, w=22\",\"Add (2,4)=45 Succeeded, w=67\",\"Add (0,2)=46 Failed, w=67\",\"Add (0,1)=61 Failed, w=67\",\"Add (1,4)=68 Failed, w=67\",\"Add (1,2)=71 Failed, w=67\",\"Add (2,3)=84 Failed, w=67\"],\"Answer\":67}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,2,46],[0,3,10],[0,4,5],[1,2,71],[1,3,7],[1,4,68],[2,3,84],[2,4,45]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,4)=5,(1,3)=7,(0,3)=10,(2,4)=45,(0,2)=46,(0,1)=61,(1,4)=68,(1,2)=71,(2,3)=84]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=12\",\"Find(0)=0, Find(3)=1, Add (0,3)=10 Succeeded, w=22\",\"Find(2)=2, Find(4)=0, Add (2,4)=45 Succeeded, w=67\",\"Find(0)=0, Find(2)=0, Add (0,2)=46 Failed, w=67\",\"Find(0)=0, Find(1)=0, Add (0,1)=61 Failed, w=67\",\"Find(1)=0, Find(4)=0, Add (1,4)=68 Failed, w=67\",\"Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=67\",\"Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=67\"],\"Answer\":67}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,2,46],[0,3,10],[0,4,5],[1,2,71],[1,3,7],[1,4,68],[2,3,84],[2,4,45]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,4)=5,(1,3)=7,(0,3)=10,(2,4)=45,(0,2)=46,(0,1)=61,(1,4)=68,(1,2)=71,(2,3)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0}, Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0}, Find(0)=0, Find(3)=1, Add (0,3)=10 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=45 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=46 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=61 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=68 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=67\"],\"Answer\":67}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,43],[0,2,84],[0,5,66],[0,7,50],[1,5,9],[1,6,28],[2,5,30],[2,6,32],[3,4,23],[3,6,77],[3,7,19],[4,6,87],[4,7,44],[5,6,45],[5,7,59]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,43],[0,2,84],[0,5,66],[0,7,50],[1,5,9],[1,6,28],[2,5,30],[2,6,32],[3,4,23],[3,6,77],[3,7,19],[4,6,87],[4,7,44],[5,6,45],[5,7,59]]}", "role": "user" }, { "content": "{\"Answer\":202}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,43],[0,2,84],[0,5,66],[0,7,50],[1,5,9],[1,6,28],[2,5,30],[2,6,32],[3,4,23],[3,6,77],[3,7,19],[4,6,87],[4,7,44],[5,6,45],[5,7,59]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)\",\"Add (3,7)\",\"Add (3,4)\",\"Add (1,6)\",\"Add (2,5)\",\"Add (0,1)\",\"Add (0,7)\"],\"Answer\":202}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,43],[0,2,84],[0,5,66],[0,7,50],[1,5,9],[1,6,28],[2,5,30],[2,6,32],[3,4,23],[3,6,77],[3,7,19],[4,6,87],[4,7,44],[5,6,45],[5,7,59]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)=9, w=9\",\"Add (3,7)=19, w=28\",\"Add (3,4)=23, w=51\",\"Add (1,6)=28, w=79\",\"Add (2,5)=30, w=109\",\"Add (0,1)=43, w=152\",\"Add (0,7)=50, w=202\"],\"Answer\":202}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,43],[0,2,84],[0,5,66],[0,7,50],[1,5,9],[1,6,28],[2,5,30],[2,6,32],[3,4,23],[3,6,77],[3,7,19],[4,6,87],[4,7,44],[5,6,45],[5,7,59]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)=9 Succeeded, w=9\",\"Add (3,7)=19 Succeeded, w=28\",\"Add (3,4)=23 Succeeded, w=51\",\"Add (1,6)=28 Succeeded, w=79\",\"Add (2,5)=30 Succeeded, w=109\",\"Add (2,6)=32 Failed, w=109\",\"Add (0,1)=43 Succeeded, w=152\",\"Add (4,7)=44 Failed, w=152\",\"Add (5,6)=45 Failed, w=152\",\"Add (0,7)=50 Succeeded, w=202\",\"Add (5,7)=59 Failed, w=202\",\"Add (0,5)=66 Failed, w=202\",\"Add (3,6)=77 Failed, w=202\",\"Add (0,2)=84 Failed, w=202\",\"Add (4,6)=87 Failed, w=202\"],\"Answer\":202}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,43],[0,2,84],[0,5,66],[0,7,50],[1,5,9],[1,6,28],[2,5,30],[2,6,32],[3,4,23],[3,6,77],[3,7,19],[4,6,87],[4,7,44],[5,6,45],[5,7,59]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,5)=9,(3,7)=19,(3,4)=23,(1,6)=28,(2,5)=30,(2,6)=32,(0,1)=43,(4,7)=44,(5,6)=45,(0,7)=50,(5,7)=59,(0,5)=66,(3,6)=77,(0,2)=84,(4,6)=87]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=9 Succeeded, w=9\",\"Find(3)=3, Find(7)=7, Add (3,7)=19 Succeeded, w=28\",\"Find(3)=3, Find(4)=4, Add (3,4)=23 Succeeded, w=51\",\"Find(1)=1, Find(6)=6, Add (1,6)=28 Succeeded, w=79\",\"Find(2)=2, Find(5)=1, Add (2,5)=30 Succeeded, w=109\",\"Find(2)=1, Find(6)=1, Add (2,6)=32 Failed, w=109\",\"Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=152\",\"Find(4)=3, Find(7)=3, Add (4,7)=44 Failed, w=152\",\"Find(5)=1, Find(6)=1, Add (5,6)=45 Failed, w=152\",\"Find(0)=1, Find(7)=3, Add (0,7)=50 Succeeded, w=202\",\"Find(5)=1, Find(7)=1, Add (5,7)=59 Failed, w=202\",\"Find(0)=1, Find(5)=1, Add (0,5)=66 Failed, w=202\",\"Find(3)=1, Find(6)=1, Add (3,6)=77 Failed, w=202\",\"Find(0)=1, Find(2)=1, Add (0,2)=84 Failed, w=202\",\"Find(4)=1, Find(6)=1, Add (4,6)=87 Failed, w=202\"],\"Answer\":202}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,43],[0,2,84],[0,5,66],[0,7,50],[1,5,9],[1,6,28],[2,5,30],[2,6,32],[3,4,23],[3,6,77],[3,7,19],[4,6,87],[4,7,44],[5,6,45],[5,7,59]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,5)=9,(3,7)=19,(3,4)=23,(1,6)=28,(2,5)=30,(2,6)=32,(0,1)=43,(4,7)=44,(5,6)=45,(0,7)=50,(5,7)=59,(0,5)=66,(3,6)=77,(0,2)=84,(4,6)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=19 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1, 6: 6, 7: 3}, Find(3)=3, Find(4)=4, Add (3,4)=23 Succeeded, w=51\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1, 6: 1, 7: 3}, Find(1)=1, Find(6)=6, Add (1,6)=28 Succeeded, w=79\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 1, 6: 1, 7: 3}, Find(2)=2, Find(5)=1, Add (2,5)=30 Succeeded, w=109\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 1, 6: 1, 7: 3}, Find(2)=1, Find(6)=1, Add (2,6)=32 Failed, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 1, 6: 1, 7: 3}, Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=152\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 1, 6: 1, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=44 Failed, w=152\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 1, 6: 1, 7: 3}, Find(5)=1, Find(6)=1, Add (5,6)=45 Failed, w=152\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 1, 7: 3}, Find(0)=1, Find(7)=3, Add (0,7)=50 Succeeded, w=202\",\"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)=59 Failed, w=202\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=66 Failed, w=202\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=77 Failed, w=202\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=84 Failed, w=202\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=87 Failed, w=202\"],\"Answer\":202}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,47],[0,2,43],[0,4,44],[0,6,12],[0,7,55],[1,2,86],[1,4,35],[1,5,75],[1,6,26],[2,3,22],[2,4,97],[2,5,59],[2,6,77],[2,7,89],[3,4,28],[3,7,26],[4,5,12],[4,7,49],[5,6,67],[5,7,93],[6,7,8]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,43],[0,4,44],[0,6,12],[0,7,55],[1,2,86],[1,4,35],[1,5,75],[1,6,26],[2,3,22],[2,4,97],[2,5,59],[2,6,77],[2,7,89],[3,4,28],[3,7,26],[4,5,12],[4,7,49],[5,6,67],[5,7,93],[6,7,8]]}", "role": "user" }, { "content": "{\"Answer\":134}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,43],[0,4,44],[0,6,12],[0,7,55],[1,2,86],[1,4,35],[1,5,75],[1,6,26],[2,3,22],[2,4,97],[2,5,59],[2,6,77],[2,7,89],[3,4,28],[3,7,26],[4,5,12],[4,7,49],[5,6,67],[5,7,93],[6,7,8]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (6,7)\",\"Add (0,6)\",\"Add (4,5)\",\"Add (2,3)\",\"Add (1,6)\",\"Add (3,7)\",\"Add (3,4)\"],\"Answer\":134}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,43],[0,4,44],[0,6,12],[0,7,55],[1,2,86],[1,4,35],[1,5,75],[1,6,26],[2,3,22],[2,4,97],[2,5,59],[2,6,77],[2,7,89],[3,4,28],[3,7,26],[4,5,12],[4,7,49],[5,6,67],[5,7,93],[6,7,8]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (6,7)=8, w=8\",\"Add (0,6)=12, w=20\",\"Add (4,5)=12, w=32\",\"Add (2,3)=22, w=54\",\"Add (1,6)=26, w=80\",\"Add (3,7)=26, w=106\",\"Add (3,4)=28, w=134\"],\"Answer\":134}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,43],[0,4,44],[0,6,12],[0,7,55],[1,2,86],[1,4,35],[1,5,75],[1,6,26],[2,3,22],[2,4,97],[2,5,59],[2,6,77],[2,7,89],[3,4,28],[3,7,26],[4,5,12],[4,7,49],[5,6,67],[5,7,93],[6,7,8]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (6,7)=8 Succeeded, w=8\",\"Add (0,6)=12 Succeeded, w=20\",\"Add (4,5)=12 Succeeded, w=32\",\"Add (2,3)=22 Succeeded, w=54\",\"Add (1,6)=26 Succeeded, w=80\",\"Add (3,7)=26 Succeeded, w=106\",\"Add (3,4)=28 Succeeded, w=134\",\"Add (1,4)=35 Failed, w=134\",\"Add (0,2)=43 Failed, w=134\",\"Add (0,4)=44 Failed, w=134\",\"Add (0,1)=47 Failed, w=134\",\"Add (4,7)=49 Failed, w=134\",\"Add (0,7)=55 Failed, w=134\",\"Add (2,5)=59 Failed, w=134\",\"Add (5,6)=67 Failed, w=134\",\"Add (1,5)=75 Failed, w=134\",\"Add (2,6)=77 Failed, w=134\",\"Add (1,2)=86 Failed, w=134\",\"Add (2,7)=89 Failed, w=134\",\"Add (5,7)=93 Failed, w=134\",\"Add (2,4)=97 Failed, w=134\"],\"Answer\":134}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,43],[0,4,44],[0,6,12],[0,7,55],[1,2,86],[1,4,35],[1,5,75],[1,6,26],[2,3,22],[2,4,97],[2,5,59],[2,6,77],[2,7,89],[3,4,28],[3,7,26],[4,5,12],[4,7,49],[5,6,67],[5,7,93],[6,7,8]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(6,7)=8,(0,6)=12,(4,5)=12,(2,3)=22,(1,6)=26,(3,7)=26,(3,4)=28,(1,4)=35,(0,2)=43,(0,4)=44,(0,1)=47,(4,7)=49,(0,7)=55,(2,5)=59,(5,6)=67,(1,5)=75,(2,6)=77,(1,2)=86,(2,7)=89,(5,7)=93,(2,4)=97]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=8 Succeeded, w=8\",\"Find(0)=0, Find(6)=6, Add (0,6)=12 Succeeded, w=20\",\"Find(4)=4, Find(5)=5, Add (4,5)=12 Succeeded, w=32\",\"Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=54\",\"Find(1)=1, Find(6)=6, Add (1,6)=26 Succeeded, w=80\",\"Find(3)=2, Find(7)=6, Add (3,7)=26 Succeeded, w=106\",\"Find(3)=2, Find(4)=4, Add (3,4)=28 Succeeded, w=134\",\"Find(1)=2, Find(4)=2, Add (1,4)=35 Failed, w=134\",\"Find(0)=2, Find(2)=2, Add (0,2)=43 Failed, w=134\",\"Find(0)=2, Find(4)=2, Add (0,4)=44 Failed, w=134\",\"Find(0)=2, Find(1)=2, Add (0,1)=47 Failed, w=134\",\"Find(4)=2, Find(7)=2, Add (4,7)=49 Failed, w=134\",\"Find(0)=2, Find(7)=2, Add (0,7)=55 Failed, w=134\",\"Find(2)=2, Find(5)=2, Add (2,5)=59 Failed, w=134\",\"Find(5)=2, Find(6)=2, Add (5,6)=67 Failed, w=134\",\"Find(1)=2, Find(5)=2, Add (1,5)=75 Failed, w=134\",\"Find(2)=2, Find(6)=2, Add (2,6)=77 Failed, w=134\",\"Find(1)=2, Find(2)=2, Add (1,2)=86 Failed, w=134\",\"Find(2)=2, Find(7)=2, Add (2,7)=89 Failed, w=134\",\"Find(5)=2, Find(7)=2, Add (5,7)=93 Failed, w=134\",\"Find(2)=2, Find(4)=2, Add (2,4)=97 Failed, w=134\"],\"Answer\":134}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,43],[0,4,44],[0,6,12],[0,7,55],[1,2,86],[1,4,35],[1,5,75],[1,6,26],[2,3,22],[2,4,97],[2,5,59],[2,6,77],[2,7,89],[3,4,28],[3,7,26],[4,5,12],[4,7,49],[5,6,67],[5,7,93],[6,7,8]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(6,7)=8,(0,6)=12,(4,5)=12,(2,3)=22,(1,6)=26,(3,7)=26,(3,4)=28,(1,4)=35,(0,2)=43,(0,4)=44,(0,1)=47,(4,7)=49,(0,7)=55,(2,5)=59,(5,6)=67,(1,5)=75,(2,6)=77,(1,2)=86,(2,7)=89,(5,7)=93,(2,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=8 Succeeded, w=8\",\"Parent: {0: 6, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(0)=0, Find(6)=6, Add (0,6)=12 Succeeded, w=20\",\"Parent: {0: 6, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 6}, Find(4)=4, Find(5)=5, Add (4,5)=12 Succeeded, w=32\",\"Parent: {0: 6, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4, 6: 6, 7: 6}, Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=54\",\"Parent: {0: 6, 1: 6, 2: 2, 3: 2, 4: 4, 5: 4, 6: 6, 7: 6}, Find(1)=1, Find(6)=6, Add (1,6)=26 Succeeded, w=80\",\"Parent: {0: 6, 1: 6, 2: 2, 3: 2, 4: 4, 5: 4, 6: 2, 7: 6}, Find(3)=2, Find(7)=6, Add (3,7)=26 Succeeded, w=106\",\"Parent: {0: 6, 1: 6, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2, 7: 6}, Find(3)=2, Find(4)=4, Add (3,4)=28 Succeeded, w=134\",\"Parent: {0: 6, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2, 7: 6}, Find(1)=2, Find(4)=2, Add (1,4)=35 Failed, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2, 7: 6}, Find(0)=2, Find(2)=2, Add (0,2)=43 Failed, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2, 7: 6}, Find(0)=2, Find(4)=2, Add (0,4)=44 Failed, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2, 7: 6}, Find(0)=2, Find(1)=2, Add (0,1)=47 Failed, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=49 Failed, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=55 Failed, w=134\",\"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)=59 Failed, w=134\",\"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)=67 Failed, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(5)=2, Add (1,5)=75 Failed, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(6)=2, Add (2,6)=77 Failed, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=86 Failed, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=89 Failed, w=134\",\"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=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=97 Failed, w=134\"],\"Answer\":134}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,49],[0,3,42],[1,2,1],[1,3,97],[2,3,84]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,49],[0,3,42],[1,2,1],[1,3,97],[2,3,84]]}", "role": "user" }, { "content": "{\"Answer\":92}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,49],[0,3,42],[1,2,1],[1,3,97],[2,3,84]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":92}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,49],[0,3,42],[1,2,1],[1,3,97],[2,3,84]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (0,3)=42, w=43\",\"Add (0,2)=49, w=92\"],\"Answer\":92}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,49],[0,3,42],[1,2,1],[1,3,97],[2,3,84]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (0,3)=42 Succeeded, w=43\",\"Add (0,2)=49 Succeeded, w=92\",\"Add (2,3)=84 Failed, w=92\",\"Add (1,3)=97 Failed, w=92\"],\"Answer\":92}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,49],[0,3,42],[1,2,1],[1,3,97],[2,3,84]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=1,(0,3)=42,(0,2)=49,(2,3)=84,(1,3)=97]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=3, Add (0,3)=42 Succeeded, w=43\",\"Find(0)=0, Find(2)=1, Add (0,2)=49 Succeeded, w=92\",\"Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=92\",\"Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=92\"],\"Answer\":92}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,49],[0,3,42],[1,2,1],[1,3,97],[2,3,84]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=1,(0,3)=42,(0,2)=49,(2,3)=84,(1,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=42 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(2)=1, Add (0,2)=49 Succeeded, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=92\"],\"Answer\":92}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,61],[0,2,25],[0,3,13],[0,4,26],[0,5,48],[0,6,26],[1,2,29],[1,3,62],[1,4,26],[1,5,87],[1,6,30],[2,3,71],[2,4,75],[2,5,93],[2,6,51],[3,6,95],[4,5,76],[4,6,88],[5,6,31]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,25],[0,3,13],[0,4,26],[0,5,48],[0,6,26],[1,2,29],[1,3,62],[1,4,26],[1,5,87],[1,6,30],[2,3,71],[2,4,75],[2,5,93],[2,6,51],[3,6,95],[4,5,76],[4,6,88],[5,6,31]]}", "role": "user" }, { "content": "{\"Answer\":147}", "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],[0,2,25],[0,3,13],[0,4,26],[0,5,48],[0,6,26],[1,2,29],[1,3,62],[1,4,26],[1,5,87],[1,6,30],[2,3,71],[2,4,75],[2,5,93],[2,6,51],[3,6,95],[4,5,76],[4,6,88],[5,6,31]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (0,6)\",\"Add (1,4)\",\"Add (5,6)\"],\"Answer\":147}", "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],[0,2,25],[0,3,13],[0,4,26],[0,5,48],[0,6,26],[1,2,29],[1,3,62],[1,4,26],[1,5,87],[1,6,30],[2,3,71],[2,4,75],[2,5,93],[2,6,51],[3,6,95],[4,5,76],[4,6,88],[5,6,31]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=13, w=13\",\"Add (0,2)=25, w=38\",\"Add (0,4)=26, w=64\",\"Add (0,6)=26, w=90\",\"Add (1,4)=26, w=116\",\"Add (5,6)=31, w=147\"],\"Answer\":147}", "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],[0,2,25],[0,3,13],[0,4,26],[0,5,48],[0,6,26],[1,2,29],[1,3,62],[1,4,26],[1,5,87],[1,6,30],[2,3,71],[2,4,75],[2,5,93],[2,6,51],[3,6,95],[4,5,76],[4,6,88],[5,6,31]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=13 Succeeded, w=13\",\"Add (0,2)=25 Succeeded, w=38\",\"Add (0,4)=26 Succeeded, w=64\",\"Add (0,6)=26 Succeeded, w=90\",\"Add (1,4)=26 Succeeded, w=116\",\"Add (1,2)=29 Failed, w=116\",\"Add (1,6)=30 Failed, w=116\",\"Add (5,6)=31 Succeeded, w=147\",\"Add (0,5)=48 Failed, w=147\",\"Add (2,6)=51 Failed, w=147\",\"Add (0,1)=61 Failed, w=147\",\"Add (1,3)=62 Failed, w=147\",\"Add (2,3)=71 Failed, w=147\",\"Add (2,4)=75 Failed, w=147\",\"Add (4,5)=76 Failed, w=147\",\"Add (1,5)=87 Failed, w=147\",\"Add (4,6)=88 Failed, w=147\",\"Add (2,5)=93 Failed, w=147\",\"Add (3,6)=95 Failed, w=147\"],\"Answer\":147}", "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],[0,2,25],[0,3,13],[0,4,26],[0,5,48],[0,6,26],[1,2,29],[1,3,62],[1,4,26],[1,5,87],[1,6,30],[2,3,71],[2,4,75],[2,5,93],[2,6,51],[3,6,95],[4,5,76],[4,6,88],[5,6,31]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=13,(0,2)=25,(0,4)=26,(0,6)=26,(1,4)=26,(1,2)=29,(1,6)=30,(5,6)=31,(0,5)=48,(2,6)=51,(0,1)=61,(1,3)=62,(2,3)=71,(2,4)=75,(4,5)=76,(1,5)=87,(4,6)=88,(2,5)=93,(3,6)=95]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=13\",\"Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=38\",\"Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=64\",\"Find(0)=0, Find(6)=6, Add (0,6)=26 Succeeded, w=90\",\"Find(1)=1, Find(4)=0, Add (1,4)=26 Succeeded, w=116\",\"Find(1)=0, Find(2)=0, Add (1,2)=29 Failed, w=116\",\"Find(1)=0, Find(6)=0, Add (1,6)=30 Failed, w=116\",\"Find(5)=5, Find(6)=0, Add (5,6)=31 Succeeded, w=147\",\"Find(0)=0, Find(5)=0, Add (0,5)=48 Failed, w=147\",\"Find(2)=0, Find(6)=0, Add (2,6)=51 Failed, w=147\",\"Find(0)=0, Find(1)=0, Add (0,1)=61 Failed, w=147\",\"Find(1)=0, Find(3)=0, Add (1,3)=62 Failed, w=147\",\"Find(2)=0, Find(3)=0, Add (2,3)=71 Failed, w=147\",\"Find(2)=0, Find(4)=0, Add (2,4)=75 Failed, w=147\",\"Find(4)=0, Find(5)=0, Add (4,5)=76 Failed, w=147\",\"Find(1)=0, Find(5)=0, Add (1,5)=87 Failed, w=147\",\"Find(4)=0, Find(6)=0, Add (4,6)=88 Failed, w=147\",\"Find(2)=0, Find(5)=0, Add (2,5)=93 Failed, w=147\",\"Find(3)=0, Find(6)=0, Add (3,6)=95 Failed, w=147\"],\"Answer\":147}", "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],[0,2,25],[0,3,13],[0,4,26],[0,5,48],[0,6,26],[1,2,29],[1,3,62],[1,4,26],[1,5,87],[1,6,30],[2,3,71],[2,4,75],[2,5,93],[2,6,51],[3,6,95],[4,5,76],[4,6,88],[5,6,31]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=13,(0,2)=25,(0,4)=26,(0,6)=26,(1,4)=26,(1,2)=29,(1,6)=30,(5,6)=31,(0,5)=48,(2,6)=51,(0,1)=61,(1,3)=62,(2,3)=71,(2,4)=75,(4,5)=76,(1,5)=87,(4,6)=88,(2,5)=93,(3,6)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=64\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=26 Succeeded, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(1)=1, Find(4)=0, Add (1,4)=26 Succeeded, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=29 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=30 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=5, Find(6)=0, Add (5,6)=31 Succeeded, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=48 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=51 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=61 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=62 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=71 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=75 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=76 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=87 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=88 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=93 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=95 Failed, w=147\"],\"Answer\":147}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,44],[0,2,43],[0,3,67],[0,4,12],[0,5,45],[0,6,26],[0,7,30],[1,2,67],[1,3,63],[1,4,46],[1,6,54],[1,7,96],[2,3,53],[2,4,29],[2,5,58],[2,6,95],[2,7,10],[3,4,60],[3,5,7],[3,6,96],[3,7,87],[4,6,71],[4,7,25],[5,6,83],[5,7,84],[6,7,43]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,43],[0,3,67],[0,4,12],[0,5,45],[0,6,26],[0,7,30],[1,2,67],[1,3,63],[1,4,46],[1,6,54],[1,7,96],[2,3,53],[2,4,29],[2,5,58],[2,6,95],[2,7,10],[3,4,60],[3,5,7],[3,6,96],[3,7,87],[4,6,71],[4,7,25],[5,6,83],[5,7,84],[6,7,43]]}", "role": "user" }, { "content": "{\"Answer\":169}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,43],[0,3,67],[0,4,12],[0,5,45],[0,6,26],[0,7,30],[1,2,67],[1,3,63],[1,4,46],[1,6,54],[1,7,96],[2,3,53],[2,4,29],[2,5,58],[2,6,95],[2,7,10],[3,4,60],[3,5,7],[3,6,96],[3,7,87],[4,6,71],[4,7,25],[5,6,83],[5,7,84],[6,7,43]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)\",\"Add (2,7)\",\"Add (0,4)\",\"Add (4,7)\",\"Add (0,6)\",\"Add (0,1)\",\"Add (0,5)\"],\"Answer\":169}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,43],[0,3,67],[0,4,12],[0,5,45],[0,6,26],[0,7,30],[1,2,67],[1,3,63],[1,4,46],[1,6,54],[1,7,96],[2,3,53],[2,4,29],[2,5,58],[2,6,95],[2,7,10],[3,4,60],[3,5,7],[3,6,96],[3,7,87],[4,6,71],[4,7,25],[5,6,83],[5,7,84],[6,7,43]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=7, w=7\",\"Add (2,7)=10, w=17\",\"Add (0,4)=12, w=29\",\"Add (4,7)=25, w=54\",\"Add (0,6)=26, w=80\",\"Add (0,1)=44, w=124\",\"Add (0,5)=45, w=169\"],\"Answer\":169}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,43],[0,3,67],[0,4,12],[0,5,45],[0,6,26],[0,7,30],[1,2,67],[1,3,63],[1,4,46],[1,6,54],[1,7,96],[2,3,53],[2,4,29],[2,5,58],[2,6,95],[2,7,10],[3,4,60],[3,5,7],[3,6,96],[3,7,87],[4,6,71],[4,7,25],[5,6,83],[5,7,84],[6,7,43]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=7 Succeeded, w=7\",\"Add (2,7)=10 Succeeded, w=17\",\"Add (0,4)=12 Succeeded, w=29\",\"Add (4,7)=25 Succeeded, w=54\",\"Add (0,6)=26 Succeeded, w=80\",\"Add (2,4)=29 Failed, w=80\",\"Add (0,7)=30 Failed, w=80\",\"Add (0,2)=43 Failed, w=80\",\"Add (6,7)=43 Failed, w=80\",\"Add (0,1)=44 Succeeded, w=124\",\"Add (0,5)=45 Succeeded, w=169\",\"Add (1,4)=46 Failed, w=169\",\"Add (2,3)=53 Failed, w=169\",\"Add (1,6)=54 Failed, w=169\",\"Add (2,5)=58 Failed, w=169\",\"Add (3,4)=60 Failed, w=169\",\"Add (1,3)=63 Failed, w=169\",\"Add (0,3)=67 Failed, w=169\",\"Add (1,2)=67 Failed, w=169\",\"Add (4,6)=71 Failed, w=169\",\"Add (5,6)=83 Failed, w=169\",\"Add (5,7)=84 Failed, w=169\",\"Add (3,7)=87 Failed, w=169\",\"Add (2,6)=95 Failed, w=169\",\"Add (1,7)=96 Failed, w=169\",\"Add (3,6)=96 Failed, w=169\"],\"Answer\":169}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,43],[0,3,67],[0,4,12],[0,5,45],[0,6,26],[0,7,30],[1,2,67],[1,3,63],[1,4,46],[1,6,54],[1,7,96],[2,3,53],[2,4,29],[2,5,58],[2,6,95],[2,7,10],[3,4,60],[3,5,7],[3,6,96],[3,7,87],[4,6,71],[4,7,25],[5,6,83],[5,7,84],[6,7,43]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=7,(2,7)=10,(0,4)=12,(4,7)=25,(0,6)=26,(2,4)=29,(0,7)=30,(0,2)=43,(6,7)=43,(0,1)=44,(0,5)=45,(1,4)=46,(2,3)=53,(1,6)=54,(2,5)=58,(3,4)=60,(1,3)=63,(0,3)=67,(1,2)=67,(4,6)=71,(5,6)=83,(5,7)=84,(3,7)=87,(2,6)=95,(1,7)=96,(3,6)=96]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=7 Succeeded, w=7\",\"Find(2)=2, Find(7)=7, Add (2,7)=10 Succeeded, w=17\",\"Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=29\",\"Find(4)=0, Find(7)=2, Add (4,7)=25 Succeeded, w=54\",\"Find(0)=0, Find(6)=6, Add (0,6)=26 Succeeded, w=80\",\"Find(2)=0, Find(4)=0, Add (2,4)=29 Failed, w=80\",\"Find(0)=0, Find(7)=0, Add (0,7)=30 Failed, w=80\",\"Find(0)=0, Find(2)=0, Add (0,2)=43 Failed, w=80\",\"Find(6)=0, Find(7)=0, Add (6,7)=43 Failed, w=80\",\"Find(0)=0, Find(1)=1, Add (0,1)=44 Succeeded, w=124\",\"Find(0)=0, Find(5)=3, Add (0,5)=45 Succeeded, w=169\",\"Find(1)=0, Find(4)=0, Add (1,4)=46 Failed, w=169\",\"Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=169\",\"Find(1)=0, Find(6)=0, Add (1,6)=54 Failed, w=169\",\"Find(2)=0, Find(5)=0, Add (2,5)=58 Failed, w=169\",\"Find(3)=0, Find(4)=0, Add (3,4)=60 Failed, w=169\",\"Find(1)=0, Find(3)=0, Add (1,3)=63 Failed, w=169\",\"Find(0)=0, Find(3)=0, Add (0,3)=67 Failed, w=169\",\"Find(1)=0, Find(2)=0, Add (1,2)=67 Failed, w=169\",\"Find(4)=0, Find(6)=0, Add (4,6)=71 Failed, w=169\",\"Find(5)=0, Find(6)=0, Add (5,6)=83 Failed, w=169\",\"Find(5)=0, Find(7)=0, Add (5,7)=84 Failed, w=169\",\"Find(3)=0, Find(7)=0, Add (3,7)=87 Failed, w=169\",\"Find(2)=0, Find(6)=0, Add (2,6)=95 Failed, w=169\",\"Find(1)=0, Find(7)=0, Add (1,7)=96 Failed, w=169\",\"Find(3)=0, Find(6)=0, Add (3,6)=96 Failed, w=169\"],\"Answer\":169}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,43],[0,3,67],[0,4,12],[0,5,45],[0,6,26],[0,7,30],[1,2,67],[1,3,63],[1,4,46],[1,6,54],[1,7,96],[2,3,53],[2,4,29],[2,5,58],[2,6,95],[2,7,10],[3,4,60],[3,5,7],[3,6,96],[3,7,87],[4,6,71],[4,7,25],[5,6,83],[5,7,84],[6,7,43]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=7,(2,7)=10,(0,4)=12,(4,7)=25,(0,6)=26,(2,4)=29,(0,7)=30,(0,2)=43,(6,7)=43,(0,1)=44,(0,5)=45,(1,4)=46,(2,3)=53,(1,6)=54,(2,5)=58,(3,4)=60,(1,3)=63,(0,3)=67,(1,2)=67,(4,6)=71,(5,6)=83,(5,7)=84,(3,7)=87,(2,6)=95,(1,7)=96,(3,6)=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)=7 Succeeded, w=7\",\"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)=10 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 3, 6: 6, 7: 2}, Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 3, 6: 6, 7: 2}, Find(4)=0, Find(7)=2, Add (4,7)=25 Succeeded, w=54\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 3, 6: 0, 7: 2}, Find(0)=0, Find(6)=6, Add (0,6)=26 Succeeded, w=80\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 3, 6: 0, 7: 2}, Find(2)=0, Find(4)=0, Add (2,4)=29 Failed, w=80\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 3, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=30 Failed, w=80\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 3, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=43 Failed, w=80\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 3, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=43 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 3, 6: 0, 7: 0}, Find(0)=0, Find(1)=1, Add (0,1)=44 Succeeded, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0, 7: 0}, Find(0)=0, Find(5)=3, Add (0,5)=45 Succeeded, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=46 Failed, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=54 Failed, w=169\",\"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)=58 Failed, w=169\",\"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=169\",\"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)=63 Failed, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=67 Failed, w=169\",\"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)=67 Failed, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=71 Failed, w=169\",\"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)=83 Failed, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=84 Failed, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=87 Failed, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=95 Failed, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=96 Failed, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=96 Failed, w=169\"],\"Answer\":169}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,47],[0,3,29],[0,4,60],[0,5,56],[1,2,72],[1,3,48],[1,4,23],[1,5,100],[2,4,19],[2,5,30],[3,5,4],[4,5,76]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,47],[0,3,29],[0,4,60],[0,5,56],[1,2,72],[1,3,48],[1,4,23],[1,5,100],[2,4,19],[2,5,30],[3,5,4],[4,5,76]]}", "role": "user" }, { "content": "{\"Answer\":105}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,47],[0,3,29],[0,4,60],[0,5,56],[1,2,72],[1,3,48],[1,4,23],[1,5,100],[2,4,19],[2,5,30],[3,5,4],[4,5,76]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)\",\"Add (2,4)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (2,5)\"],\"Answer\":105}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,47],[0,3,29],[0,4,60],[0,5,56],[1,2,72],[1,3,48],[1,4,23],[1,5,100],[2,4,19],[2,5,30],[3,5,4],[4,5,76]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=4, w=4\",\"Add (2,4)=19, w=23\",\"Add (1,4)=23, w=46\",\"Add (0,3)=29, w=75\",\"Add (2,5)=30, w=105\"],\"Answer\":105}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,47],[0,3,29],[0,4,60],[0,5,56],[1,2,72],[1,3,48],[1,4,23],[1,5,100],[2,4,19],[2,5,30],[3,5,4],[4,5,76]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=4 Succeeded, w=4\",\"Add (2,4)=19 Succeeded, w=23\",\"Add (1,4)=23 Succeeded, w=46\",\"Add (0,3)=29 Succeeded, w=75\",\"Add (2,5)=30 Succeeded, w=105\",\"Add (0,2)=47 Failed, w=105\",\"Add (1,3)=48 Failed, w=105\",\"Add (0,5)=56 Failed, w=105\",\"Add (0,4)=60 Failed, w=105\",\"Add (1,2)=72 Failed, w=105\",\"Add (4,5)=76 Failed, w=105\",\"Add (1,5)=100 Failed, w=105\"],\"Answer\":105}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,47],[0,3,29],[0,4,60],[0,5,56],[1,2,72],[1,3,48],[1,4,23],[1,5,100],[2,4,19],[2,5,30],[3,5,4],[4,5,76]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=4,(2,4)=19,(1,4)=23,(0,3)=29,(2,5)=30,(0,2)=47,(1,3)=48,(0,5)=56,(0,4)=60,(1,2)=72,(4,5)=76,(1,5)=100]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=4 Succeeded, w=4\",\"Find(2)=2, Find(4)=4, Add (2,4)=19 Succeeded, w=23\",\"Find(1)=1, Find(4)=2, Add (1,4)=23 Succeeded, w=46\",\"Find(0)=0, Find(3)=3, Add (0,3)=29 Succeeded, w=75\",\"Find(2)=2, Find(5)=3, Add (2,5)=30 Succeeded, w=105\",\"Find(0)=2, Find(2)=2, Add (0,2)=47 Failed, w=105\",\"Find(1)=2, Find(3)=2, Add (1,3)=48 Failed, w=105\",\"Find(0)=2, Find(5)=2, Add (0,5)=56 Failed, w=105\",\"Find(0)=2, Find(4)=2, Add (0,4)=60 Failed, w=105\",\"Find(1)=2, Find(2)=2, Add (1,2)=72 Failed, w=105\",\"Find(4)=2, Find(5)=2, Add (4,5)=76 Failed, w=105\",\"Find(1)=2, Find(5)=2, Add (1,5)=100 Failed, w=105\"],\"Answer\":105}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,47],[0,3,29],[0,4,60],[0,5,56],[1,2,72],[1,3,48],[1,4,23],[1,5,100],[2,4,19],[2,5,30],[3,5,4],[4,5,76]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=4,(2,4)=19,(1,4)=23,(0,3)=29,(2,5)=30,(0,2)=47,(1,3)=48,(0,5)=56,(0,4)=60,(1,2)=72,(4,5)=76,(1,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3}, Find(2)=2, Find(4)=4, Add (2,4)=19 Succeeded, w=23\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 3}, Find(1)=1, Find(4)=2, Add (1,4)=23 Succeeded, w=46\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 3, 4: 2, 5: 3}, Find(0)=0, Find(3)=3, Add (0,3)=29 Succeeded, w=75\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3}, Find(2)=2, Find(5)=3, Add (2,5)=30 Succeeded, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3}, Find(0)=2, Find(2)=2, Add (0,2)=47 Failed, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3}, Find(1)=2, Find(3)=2, Add (1,3)=48 Failed, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=56 Failed, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=60 Failed, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=72 Failed, w=105\",\"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=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=100 Failed, w=105\"],\"Answer\":105}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,8],[0,3,45],[0,5,3],[1,2,61],[1,3,94],[1,4,39],[1,5,22],[2,3,36],[2,4,26],[2,5,74],[3,5,51],[4,5,54]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,3,45],[0,5,3],[1,2,61],[1,3,94],[1,4,39],[1,5,22],[2,3,36],[2,4,26],[2,5,74],[3,5,51],[4,5,54]]}", "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\":[[0,1,8],[0,3,45],[0,5,3],[1,2,61],[1,3,94],[1,4,39],[1,5,22],[2,3,36],[2,4,26],[2,5,74],[3,5,51],[4,5,54]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (2,3)\",\"Add (1,4)\"],\"Answer\":112}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,3,45],[0,5,3],[1,2,61],[1,3,94],[1,4,39],[1,5,22],[2,3,36],[2,4,26],[2,5,74],[3,5,51],[4,5,54]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)=3, w=3\",\"Add (0,1)=8, w=11\",\"Add (2,4)=26, w=37\",\"Add (2,3)=36, w=73\",\"Add (1,4)=39, 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\":[[0,1,8],[0,3,45],[0,5,3],[1,2,61],[1,3,94],[1,4,39],[1,5,22],[2,3,36],[2,4,26],[2,5,74],[3,5,51],[4,5,54]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)=3 Succeeded, w=3\",\"Add (0,1)=8 Succeeded, w=11\",\"Add (1,5)=22 Failed, w=11\",\"Add (2,4)=26 Succeeded, w=37\",\"Add (2,3)=36 Succeeded, w=73\",\"Add (1,4)=39 Succeeded, w=112\",\"Add (0,3)=45 Failed, w=112\",\"Add (3,5)=51 Failed, w=112\",\"Add (4,5)=54 Failed, w=112\",\"Add (1,2)=61 Failed, w=112\",\"Add (2,5)=74 Failed, w=112\",\"Add (1,3)=94 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\":[[0,1,8],[0,3,45],[0,5,3],[1,2,61],[1,3,94],[1,4,39],[1,5,22],[2,3,36],[2,4,26],[2,5,74],[3,5,51],[4,5,54]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,5)=3,(0,1)=8,(1,5)=22,(2,4)=26,(2,3)=36,(1,4)=39,(0,3)=45,(3,5)=51,(4,5)=54,(1,2)=61,(2,5)=74,(1,3)=94]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=11\",\"Find(1)=0, Find(5)=0, Add (1,5)=22 Failed, w=11\",\"Find(2)=2, Find(4)=4, Add (2,4)=26 Succeeded, w=37\",\"Find(2)=2, Find(3)=3, Add (2,3)=36 Succeeded, w=73\",\"Find(1)=0, Find(4)=2, Add (1,4)=39 Succeeded, w=112\",\"Find(0)=0, Find(3)=0, Add (0,3)=45 Failed, w=112\",\"Find(3)=0, Find(5)=0, Add (3,5)=51 Failed, w=112\",\"Find(4)=0, Find(5)=0, Add (4,5)=54 Failed, w=112\",\"Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=112\",\"Find(2)=0, Find(5)=0, Add (2,5)=74 Failed, w=112\",\"Find(1)=0, Find(3)=0, Add (1,3)=94 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\":[[0,1,8],[0,3,45],[0,5,3],[1,2,61],[1,3,94],[1,4,39],[1,5,22],[2,3,36],[2,4,26],[2,5,74],[3,5,51],[4,5,54]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,5)=3,(0,1)=8,(1,5)=22,(2,4)=26,(2,3)=36,(1,4)=39,(0,3)=45,(3,5)=51,(4,5)=54,(1,2)=61,(2,5)=74,(1,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=22 Failed, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 0}, Find(2)=2, Find(4)=4, Add (2,4)=26 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 0}, Find(2)=2, Find(3)=3, Add (2,3)=36 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 0}, Find(1)=0, Find(4)=2, Add (1,4)=39 Succeeded, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=45 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=51 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)=54 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=74 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=94 Failed, w=112\"],\"Answer\":112}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,78],[0,2,12],[0,3,6],[0,5,12],[0,7,51],[1,3,47],[1,4,83],[1,6,93],[1,7,17],[2,3,64],[2,4,12],[2,5,80],[2,6,10],[3,5,12],[3,7,10],[4,5,72],[4,7,10],[5,6,68],[5,7,77]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,12],[0,3,6],[0,5,12],[0,7,51],[1,3,47],[1,4,83],[1,6,93],[1,7,17],[2,3,64],[2,4,12],[2,5,80],[2,6,10],[3,5,12],[3,7,10],[4,5,72],[4,7,10],[5,6,68],[5,7,77]]}", "role": "user" }, { "content": "{\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,12],[0,3,6],[0,5,12],[0,7,51],[1,3,47],[1,4,83],[1,6,93],[1,7,17],[2,3,64],[2,4,12],[2,5,80],[2,6,10],[3,5,12],[3,7,10],[4,5,72],[4,7,10],[5,6,68],[5,7,77]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (2,6)\",\"Add (3,7)\",\"Add (4,7)\",\"Add (0,2)\",\"Add (0,5)\",\"Add (1,7)\"],\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,12],[0,3,6],[0,5,12],[0,7,51],[1,3,47],[1,4,83],[1,6,93],[1,7,17],[2,3,64],[2,4,12],[2,5,80],[2,6,10],[3,5,12],[3,7,10],[4,5,72],[4,7,10],[5,6,68],[5,7,77]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=6, w=6\",\"Add (2,6)=10, w=16\",\"Add (3,7)=10, w=26\",\"Add (4,7)=10, w=36\",\"Add (0,2)=12, w=48\",\"Add (0,5)=12, w=60\",\"Add (1,7)=17, w=77\"],\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,12],[0,3,6],[0,5,12],[0,7,51],[1,3,47],[1,4,83],[1,6,93],[1,7,17],[2,3,64],[2,4,12],[2,5,80],[2,6,10],[3,5,12],[3,7,10],[4,5,72],[4,7,10],[5,6,68],[5,7,77]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=6 Succeeded, w=6\",\"Add (2,6)=10 Succeeded, w=16\",\"Add (3,7)=10 Succeeded, w=26\",\"Add (4,7)=10 Succeeded, w=36\",\"Add (0,2)=12 Succeeded, w=48\",\"Add (0,5)=12 Succeeded, w=60\",\"Add (2,4)=12 Failed, w=60\",\"Add (3,5)=12 Failed, w=60\",\"Add (1,7)=17 Succeeded, w=77\",\"Add (1,3)=47 Failed, w=77\",\"Add (0,7)=51 Failed, w=77\",\"Add (2,3)=64 Failed, w=77\",\"Add (5,6)=68 Failed, w=77\",\"Add (4,5)=72 Failed, w=77\",\"Add (5,7)=77 Failed, w=77\",\"Add (0,1)=78 Failed, w=77\",\"Add (2,5)=80 Failed, w=77\",\"Add (1,4)=83 Failed, w=77\",\"Add (1,6)=93 Failed, w=77\"],\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,12],[0,3,6],[0,5,12],[0,7,51],[1,3,47],[1,4,83],[1,6,93],[1,7,17],[2,3,64],[2,4,12],[2,5,80],[2,6,10],[3,5,12],[3,7,10],[4,5,72],[4,7,10],[5,6,68],[5,7,77]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=6,(2,6)=10,(3,7)=10,(4,7)=10,(0,2)=12,(0,5)=12,(2,4)=12,(3,5)=12,(1,7)=17,(1,3)=47,(0,7)=51,(2,3)=64,(5,6)=68,(4,5)=72,(5,7)=77,(0,1)=78,(2,5)=80,(1,4)=83,(1,6)=93]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Find(2)=2, Find(6)=6, Add (2,6)=10 Succeeded, w=16\",\"Find(3)=0, Find(7)=7, Add (3,7)=10 Succeeded, w=26\",\"Find(4)=4, Find(7)=0, Add (4,7)=10 Succeeded, w=36\",\"Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=48\",\"Find(0)=0, Find(5)=5, Add (0,5)=12 Succeeded, w=60\",\"Find(2)=0, Find(4)=0, Add (2,4)=12 Failed, w=60\",\"Find(3)=0, Find(5)=0, Add (3,5)=12 Failed, w=60\",\"Find(1)=1, Find(7)=0, Add (1,7)=17 Succeeded, w=77\",\"Find(1)=0, Find(3)=0, Add (1,3)=47 Failed, w=77\",\"Find(0)=0, Find(7)=0, Add (0,7)=51 Failed, w=77\",\"Find(2)=0, Find(3)=0, Add (2,3)=64 Failed, w=77\",\"Find(5)=0, Find(6)=0, Add (5,6)=68 Failed, w=77\",\"Find(4)=0, Find(5)=0, Add (4,5)=72 Failed, w=77\",\"Find(5)=0, Find(7)=0, Add (5,7)=77 Failed, w=77\",\"Find(0)=0, Find(1)=0, Add (0,1)=78 Failed, w=77\",\"Find(2)=0, Find(5)=0, Add (2,5)=80 Failed, w=77\",\"Find(1)=0, Find(4)=0, Add (1,4)=83 Failed, w=77\",\"Find(1)=0, Find(6)=0, Add (1,6)=93 Failed, w=77\"],\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,12],[0,3,6],[0,5,12],[0,7,51],[1,3,47],[1,4,83],[1,6,93],[1,7,17],[2,3,64],[2,4,12],[2,5,80],[2,6,10],[3,5,12],[3,7,10],[4,5,72],[4,7,10],[5,6,68],[5,7,77]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=6,(2,6)=10,(3,7)=10,(4,7)=10,(0,2)=12,(0,5)=12,(2,4)=12,(3,5)=12,(1,7)=17,(1,3)=47,(0,7)=51,(2,3)=64,(5,6)=68,(4,5)=72,(5,7)=77,(0,1)=78,(2,5)=80,(1,4)=83,(1,6)=93]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=10 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 2, 7: 0}, Find(3)=0, Find(7)=7, Add (3,7)=10 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 2, 7: 0}, Find(4)=4, Find(7)=0, Add (4,7)=10 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 2, 7: 0}, Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(0)=0, Find(5)=5, Add (0,5)=12 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=12 Failed, w=60\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=12 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(1)=1, Find(7)=0, Add (1,7)=17 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=47 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=51 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=64 Failed, w=77\",\"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)=68 Failed, w=77\",\"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)=72 Failed, w=77\",\"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=77\",\"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)=78 Failed, w=77\",\"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)=80 Failed, w=77\",\"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)=83 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=93 Failed, w=77\"],\"Answer\":77}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,1],[0,4,84],[0,5,15],[1,4,78],[2,3,54],[2,4,20],[3,4,56],[3,5,96]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,1],[0,4,84],[0,5,15],[1,4,78],[2,3,54],[2,4,20],[3,4,56],[3,5,96]]}", "role": "user" }, { "content": "{\"Answer\":168}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,1],[0,4,84],[0,5,15],[1,4,78],[2,3,54],[2,4,20],[3,4,56],[3,5,96]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (0,5)\",\"Add (2,4)\",\"Add (2,3)\",\"Add (1,4)\"],\"Answer\":168}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,1],[0,4,84],[0,5,15],[1,4,78],[2,3,54],[2,4,20],[3,4,56],[3,5,96]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (0,5)=15, w=16\",\"Add (2,4)=20, w=36\",\"Add (2,3)=54, w=90\",\"Add (1,4)=78, w=168\"],\"Answer\":168}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,1],[0,4,84],[0,5,15],[1,4,78],[2,3,54],[2,4,20],[3,4,56],[3,5,96]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (0,5)=15 Succeeded, w=16\",\"Add (2,4)=20 Succeeded, w=36\",\"Add (2,3)=54 Succeeded, w=90\",\"Add (3,4)=56 Failed, w=90\",\"Add (1,4)=78 Succeeded, w=168\",\"Add (0,4)=84 Failed, w=168\",\"Add (3,5)=96 Failed, w=168\"],\"Answer\":168}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,1],[0,4,84],[0,5,15],[1,4,78],[2,3,54],[2,4,20],[3,4,56],[3,5,96]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=1,(0,5)=15,(2,4)=20,(2,3)=54,(3,4)=56,(1,4)=78,(0,4)=84,(3,5)=96]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(0)=0, Find(5)=5, Add (0,5)=15 Succeeded, w=16\",\"Find(2)=0, Find(4)=4, Add (2,4)=20 Succeeded, w=36\",\"Find(2)=0, Find(3)=3, Add (2,3)=54 Succeeded, w=90\",\"Find(3)=0, Find(4)=0, Add (3,4)=56 Failed, w=90\",\"Find(1)=1, Find(4)=0, Add (1,4)=78 Succeeded, w=168\",\"Find(0)=0, Find(4)=0, Add (0,4)=84 Failed, w=168\",\"Find(3)=0, Find(5)=0, Add (3,5)=96 Failed, w=168\"],\"Answer\":168}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,1],[0,4,84],[0,5,15],[1,4,78],[2,3,54],[2,4,20],[3,4,56],[3,5,96]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=1,(0,5)=15,(2,4)=20,(2,3)=54,(3,4)=56,(1,4)=78,(0,4)=84,(3,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=15 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0}, Find(2)=0, Find(4)=4, Add (2,4)=20 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=3, Add (2,3)=54 Succeeded, w=90\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=56 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(4)=0, Add (1,4)=78 Succeeded, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=84 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=96 Failed, w=168\"],\"Answer\":168}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,3],[0,2,32],[0,4,18],[0,5,14],[0,6,96],[1,2,79],[1,3,18],[1,4,27],[1,5,6],[1,6,86],[2,4,16],[2,5,12],[2,6,70],[3,4,78],[3,5,23],[3,6,15],[4,6,96],[5,6,95]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,32],[0,4,18],[0,5,14],[0,6,96],[1,2,79],[1,3,18],[1,4,27],[1,5,6],[1,6,86],[2,4,16],[2,5,12],[2,6,70],[3,4,78],[3,5,23],[3,6,15],[4,6,96],[5,6,95]]}", "role": "user" }, { "content": "{\"Answer\":70}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,32],[0,4,18],[0,5,14],[0,6,96],[1,2,79],[1,3,18],[1,4,27],[1,5,6],[1,6,86],[2,4,16],[2,5,12],[2,6,70],[3,4,78],[3,5,23],[3,6,15],[4,6,96],[5,6,95]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (1,5)\",\"Add (2,5)\",\"Add (3,6)\",\"Add (2,4)\",\"Add (1,3)\"],\"Answer\":70}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,32],[0,4,18],[0,5,14],[0,6,96],[1,2,79],[1,3,18],[1,4,27],[1,5,6],[1,6,86],[2,4,16],[2,5,12],[2,6,70],[3,4,78],[3,5,23],[3,6,15],[4,6,96],[5,6,95]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=3, w=3\",\"Add (1,5)=6, w=9\",\"Add (2,5)=12, w=21\",\"Add (3,6)=15, w=36\",\"Add (2,4)=16, w=52\",\"Add (1,3)=18, w=70\"],\"Answer\":70}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,32],[0,4,18],[0,5,14],[0,6,96],[1,2,79],[1,3,18],[1,4,27],[1,5,6],[1,6,86],[2,4,16],[2,5,12],[2,6,70],[3,4,78],[3,5,23],[3,6,15],[4,6,96],[5,6,95]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=3 Succeeded, w=3\",\"Add (1,5)=6 Succeeded, w=9\",\"Add (2,5)=12 Succeeded, w=21\",\"Add (0,5)=14 Failed, w=21\",\"Add (3,6)=15 Succeeded, w=36\",\"Add (2,4)=16 Succeeded, w=52\",\"Add (0,4)=18 Failed, w=52\",\"Add (1,3)=18 Succeeded, w=70\",\"Add (3,5)=23 Failed, w=70\",\"Add (1,4)=27 Failed, w=70\",\"Add (0,2)=32 Failed, w=70\",\"Add (2,6)=70 Failed, w=70\",\"Add (3,4)=78 Failed, w=70\",\"Add (1,2)=79 Failed, w=70\",\"Add (1,6)=86 Failed, w=70\",\"Add (5,6)=95 Failed, w=70\",\"Add (0,6)=96 Failed, w=70\",\"Add (4,6)=96 Failed, w=70\"],\"Answer\":70}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,32],[0,4,18],[0,5,14],[0,6,96],[1,2,79],[1,3,18],[1,4,27],[1,5,6],[1,6,86],[2,4,16],[2,5,12],[2,6,70],[3,4,78],[3,5,23],[3,6,15],[4,6,96],[5,6,95]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=3,(1,5)=6,(2,5)=12,(0,5)=14,(3,6)=15,(2,4)=16,(0,4)=18,(1,3)=18,(3,5)=23,(1,4)=27,(0,2)=32,(2,6)=70,(3,4)=78,(1,2)=79,(1,6)=86,(5,6)=95,(0,6)=96,(4,6)=96]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(1)=0, Find(5)=5, Add (1,5)=6 Succeeded, w=9\",\"Find(2)=2, Find(5)=0, Add (2,5)=12 Succeeded, w=21\",\"Find(0)=0, Find(5)=0, Add (0,5)=14 Failed, w=21\",\"Find(3)=3, Find(6)=6, Add (3,6)=15 Succeeded, w=36\",\"Find(2)=0, Find(4)=4, Add (2,4)=16 Succeeded, w=52\",\"Find(0)=0, Find(4)=0, Add (0,4)=18 Failed, w=52\",\"Find(1)=0, Find(3)=3, Add (1,3)=18 Succeeded, w=70\",\"Find(3)=0, Find(5)=0, Add (3,5)=23 Failed, w=70\",\"Find(1)=0, Find(4)=0, Add (1,4)=27 Failed, w=70\",\"Find(0)=0, Find(2)=0, Add (0,2)=32 Failed, w=70\",\"Find(2)=0, Find(6)=0, Add (2,6)=70 Failed, w=70\",\"Find(3)=0, Find(4)=0, Add (3,4)=78 Failed, w=70\",\"Find(1)=0, Find(2)=0, Add (1,2)=79 Failed, w=70\",\"Find(1)=0, Find(6)=0, Add (1,6)=86 Failed, w=70\",\"Find(5)=0, Find(6)=0, Add (5,6)=95 Failed, w=70\",\"Find(0)=0, Find(6)=0, Add (0,6)=96 Failed, w=70\",\"Find(4)=0, Find(6)=0, Add (4,6)=96 Failed, w=70\"],\"Answer\":70}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,32],[0,4,18],[0,5,14],[0,6,96],[1,2,79],[1,3,18],[1,4,27],[1,5,6],[1,6,86],[2,4,16],[2,5,12],[2,6,70],[3,4,78],[3,5,23],[3,6,15],[4,6,96],[5,6,95]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=3,(1,5)=6,(2,5)=12,(0,5)=14,(3,6)=15,(2,4)=16,(0,4)=18,(1,3)=18,(3,5)=23,(1,4)=27,(0,2)=32,(2,6)=70,(3,4)=78,(1,2)=79,(1,6)=86,(5,6)=95,(0,6)=96,(4,6)=96]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(1)=0, Find(5)=5, Add (1,5)=6 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6}, Find(2)=2, Find(5)=0, Add (2,5)=12 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=0, Add (0,5)=14 Failed, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=15 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 3}, Find(2)=0, Find(4)=4, Add (2,4)=16 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 3}, Find(0)=0, Find(4)=0, Add (0,4)=18 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(1)=0, Find(3)=3, Add (1,3)=18 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(3)=0, Find(5)=0, Add (3,5)=23 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(1)=0, Find(4)=0, Add (1,4)=27 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(0)=0, Find(2)=0, Add (0,2)=32 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=70 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=78 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=79 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=86 Failed, w=70\",\"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=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=96 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=96 Failed, w=70\"],\"Answer\":70}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,95],[0,2,89],[0,3,86],[1,2,25],[2,3,41],[2,4,77]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,2,89],[0,3,86],[1,2,25],[2,3,41],[2,4,77]]}", "role": "user" }, { "content": "{\"Answer\":229}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,2,89],[0,3,86],[1,2,25],[2,3,41],[2,4,77]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (2,4)\",\"Add (0,3)\"],\"Answer\":229}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,2,89],[0,3,86],[1,2,25],[2,3,41],[2,4,77]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=25, w=25\",\"Add (2,3)=41, w=66\",\"Add (2,4)=77, w=143\",\"Add (0,3)=86, w=229\"],\"Answer\":229}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,2,89],[0,3,86],[1,2,25],[2,3,41],[2,4,77]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=25 Succeeded, w=25\",\"Add (2,3)=41 Succeeded, w=66\",\"Add (2,4)=77 Succeeded, w=143\",\"Add (0,3)=86 Succeeded, w=229\",\"Add (0,2)=89 Failed, w=229\",\"Add (0,1)=95 Failed, w=229\"],\"Answer\":229}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,2,89],[0,3,86],[1,2,25],[2,3,41],[2,4,77]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=25,(2,3)=41,(2,4)=77,(0,3)=86,(0,2)=89,(0,1)=95]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=25 Succeeded, w=25\",\"Find(2)=1, Find(3)=3, Add (2,3)=41 Succeeded, w=66\",\"Find(2)=1, Find(4)=4, Add (2,4)=77 Succeeded, w=143\",\"Find(0)=0, Find(3)=1, Add (0,3)=86 Succeeded, w=229\",\"Find(0)=1, Find(2)=1, Add (0,2)=89 Failed, w=229\",\"Find(0)=1, Find(1)=1, Add (0,1)=95 Failed, w=229\"],\"Answer\":229}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,2,89],[0,3,86],[1,2,25],[2,3,41],[2,4,77]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=25,(2,3)=41,(2,4)=77,(0,3)=86,(0,2)=89,(0,1)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=25 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=1, Find(3)=3, Add (2,3)=41 Succeeded, w=66\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=77 Succeeded, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(3)=1, Add (0,3)=86 Succeeded, w=229\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=89 Failed, w=229\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=95 Failed, w=229\"],\"Answer\":229}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,75],[0,2,20],[0,6,94],[0,7,24],[1,3,49],[1,6,63],[2,6,25],[2,7,15],[3,4,36],[3,6,24],[4,5,93],[4,7,97],[6,7,20]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,20],[0,6,94],[0,7,24],[1,3,49],[1,6,63],[2,6,25],[2,7,15],[3,4,36],[3,6,24],[4,5,93],[4,7,97],[6,7,20]]}", "role": "user" }, { "content": "{\"Answer\":257}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,20],[0,6,94],[0,7,24],[1,3,49],[1,6,63],[2,6,25],[2,7,15],[3,4,36],[3,6,24],[4,5,93],[4,7,97],[6,7,20]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,7)\",\"Add (0,2)\",\"Add (6,7)\",\"Add (3,6)\",\"Add (3,4)\",\"Add (1,3)\",\"Add (4,5)\"],\"Answer\":257}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,20],[0,6,94],[0,7,24],[1,3,49],[1,6,63],[2,6,25],[2,7,15],[3,4,36],[3,6,24],[4,5,93],[4,7,97],[6,7,20]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,7)=15, w=15\",\"Add (0,2)=20, w=35\",\"Add (6,7)=20, w=55\",\"Add (3,6)=24, w=79\",\"Add (3,4)=36, w=115\",\"Add (1,3)=49, w=164\",\"Add (4,5)=93, w=257\"],\"Answer\":257}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,20],[0,6,94],[0,7,24],[1,3,49],[1,6,63],[2,6,25],[2,7,15],[3,4,36],[3,6,24],[4,5,93],[4,7,97],[6,7,20]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,7)=15 Succeeded, w=15\",\"Add (0,2)=20 Succeeded, w=35\",\"Add (6,7)=20 Succeeded, w=55\",\"Add (0,7)=24 Failed, w=55\",\"Add (3,6)=24 Succeeded, w=79\",\"Add (2,6)=25 Failed, w=79\",\"Add (3,4)=36 Succeeded, w=115\",\"Add (1,3)=49 Succeeded, w=164\",\"Add (1,6)=63 Failed, w=164\",\"Add (0,1)=75 Failed, w=164\",\"Add (4,5)=93 Succeeded, w=257\",\"Add (0,6)=94 Failed, w=257\",\"Add (4,7)=97 Failed, w=257\"],\"Answer\":257}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,20],[0,6,94],[0,7,24],[1,3,49],[1,6,63],[2,6,25],[2,7,15],[3,4,36],[3,6,24],[4,5,93],[4,7,97],[6,7,20]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,7)=15,(0,2)=20,(6,7)=20,(0,7)=24,(3,6)=24,(2,6)=25,(3,4)=36,(1,3)=49,(1,6)=63,(0,1)=75,(4,5)=93,(0,6)=94,(4,7)=97]\",\"Process\":[\"Find(2)=2, Find(7)=7, Add (2,7)=15 Succeeded, w=15\",\"Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=35\",\"Find(6)=6, Find(7)=2, Add (6,7)=20 Succeeded, w=55\",\"Find(0)=2, Find(7)=2, Add (0,7)=24 Failed, w=55\",\"Find(3)=3, Find(6)=2, Add (3,6)=24 Succeeded, w=79\",\"Find(2)=2, Find(6)=2, Add (2,6)=25 Failed, w=79\",\"Find(3)=2, Find(4)=4, Add (3,4)=36 Succeeded, w=115\",\"Find(1)=1, Find(3)=2, Add (1,3)=49 Succeeded, w=164\",\"Find(1)=2, Find(6)=2, Add (1,6)=63 Failed, w=164\",\"Find(0)=2, Find(1)=2, Add (0,1)=75 Failed, w=164\",\"Find(4)=2, Find(5)=5, Add (4,5)=93 Succeeded, w=257\",\"Find(0)=2, Find(6)=2, Add (0,6)=94 Failed, w=257\",\"Find(4)=2, Find(7)=2, Add (4,7)=97 Failed, w=257\"],\"Answer\":257}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,20],[0,6,94],[0,7,24],[1,3,49],[1,6,63],[2,6,25],[2,7,15],[3,4,36],[3,6,24],[4,5,93],[4,7,97],[6,7,20]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,7)=15,(0,2)=20,(6,7)=20,(0,7)=24,(3,6)=24,(2,6)=25,(3,4)=36,(1,3)=49,(1,6)=63,(0,1)=75,(4,5)=93,(0,6)=94,(4,7)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=15 Succeeded, w=15\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 2}, Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=35\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 2}, Find(6)=6, Find(7)=2, Add (6,7)=20 Succeeded, w=55\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=24 Failed, w=55\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2, 7: 2}, Find(3)=3, Find(6)=2, Add (3,6)=24 Succeeded, w=79\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2, 7: 2}, Find(2)=2, Find(6)=2, Add (2,6)=25 Failed, w=79\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2, 7: 2}, Find(3)=2, Find(4)=4, Add (3,4)=36 Succeeded, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2, 7: 2}, Find(1)=1, Find(3)=2, Add (1,3)=49 Succeeded, w=164\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=63 Failed, w=164\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=75 Failed, w=164\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(5)=5, Add (4,5)=93 Succeeded, w=257\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=94 Failed, w=257\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=97 Failed, w=257\"],\"Answer\":257}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,77],[1,2,90],[1,3,4]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[1,2,90],[1,3,4]]}", "role": "user" }, { "content": "{\"Answer\":171}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[1,2,90],[1,3,4]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":171}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[1,2,90],[1,3,4]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=4, w=4\",\"Add (0,1)=77, w=81\",\"Add (1,2)=90, w=171\"],\"Answer\":171}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[1,2,90],[1,3,4]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=4 Succeeded, w=4\",\"Add (0,1)=77 Succeeded, w=81\",\"Add (1,2)=90 Succeeded, w=171\"],\"Answer\":171}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[1,2,90],[1,3,4]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=4,(0,1)=77,(1,2)=90]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Find(0)=0, Find(1)=1, Add (0,1)=77 Succeeded, w=81\",\"Find(1)=1, Find(2)=2, Add (1,2)=90 Succeeded, w=171\"],\"Answer\":171}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[1,2,90],[1,3,4]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=4,(0,1)=77,(1,2)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=77 Succeeded, w=81\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=90 Succeeded, w=171\"],\"Answer\":171}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,3],[0,4,30],[1,2,21],[1,3,93],[1,4,68],[2,3,50],[2,4,97],[3,4,42]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,3],[0,4,30],[1,2,21],[1,3,93],[1,4,68],[2,3,50],[2,4,97],[3,4,42]]}", "role": "user" }, { "content": "{\"Answer\":96}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,3],[0,4,30],[1,2,21],[1,3,93],[1,4,68],[2,3,50],[2,4,97],[3,4,42]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (3,4)\"],\"Answer\":96}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,3],[0,4,30],[1,2,21],[1,3,93],[1,4,68],[2,3,50],[2,4,97],[3,4,42]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=3, w=3\",\"Add (1,2)=21, w=24\",\"Add (0,4)=30, w=54\",\"Add (3,4)=42, w=96\"],\"Answer\":96}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,3],[0,4,30],[1,2,21],[1,3,93],[1,4,68],[2,3,50],[2,4,97],[3,4,42]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=3 Succeeded, w=3\",\"Add (1,2)=21 Succeeded, w=24\",\"Add (0,4)=30 Succeeded, w=54\",\"Add (3,4)=42 Succeeded, w=96\",\"Add (2,3)=50 Failed, w=96\",\"Add (1,4)=68 Failed, w=96\",\"Add (1,3)=93 Failed, w=96\",\"Add (2,4)=97 Failed, w=96\"],\"Answer\":96}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,3],[0,4,30],[1,2,21],[1,3,93],[1,4,68],[2,3,50],[2,4,97],[3,4,42]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=3,(1,2)=21,(0,4)=30,(3,4)=42,(2,3)=50,(1,4)=68,(1,3)=93,(2,4)=97]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=0, Add (1,2)=21 Succeeded, w=24\",\"Find(0)=0, Find(4)=4, Add (0,4)=30 Succeeded, w=54\",\"Find(3)=3, Find(4)=0, Add (3,4)=42 Succeeded, w=96\",\"Find(2)=0, Find(3)=0, Add (2,3)=50 Failed, w=96\",\"Find(1)=0, Find(4)=0, Add (1,4)=68 Failed, w=96\",\"Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=96\",\"Find(2)=0, Find(4)=0, Add (2,4)=97 Failed, w=96\"],\"Answer\":96}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,3],[0,4,30],[1,2,21],[1,3,93],[1,4,68],[2,3,50],[2,4,97],[3,4,42]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=3,(1,2)=21,(0,4)=30,(3,4)=42,(2,3)=50,(1,4)=68,(1,3)=93,(2,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(1)=1, Find(2)=0, Add (1,2)=21 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=30 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=42 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=50 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=68 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=97 Failed, w=96\"],\"Answer\":96}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,53],[0,2,30],[0,3,88],[1,2,68],[1,3,67],[2,3,32]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,30],[0,3,88],[1,2,68],[1,3,67],[2,3,32]]}", "role": "user" }, { "content": "{\"Answer\":115}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,30],[0,3,88],[1,2,68],[1,3,67],[2,3,32]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":115}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,30],[0,3,88],[1,2,68],[1,3,67],[2,3,32]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=30, w=30\",\"Add (2,3)=32, w=62\",\"Add (0,1)=53, w=115\"],\"Answer\":115}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,30],[0,3,88],[1,2,68],[1,3,67],[2,3,32]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=30 Succeeded, w=30\",\"Add (2,3)=32 Succeeded, w=62\",\"Add (0,1)=53 Succeeded, w=115\",\"Add (1,3)=67 Failed, w=115\",\"Add (1,2)=68 Failed, w=115\",\"Add (0,3)=88 Failed, w=115\"],\"Answer\":115}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,30],[0,3,88],[1,2,68],[1,3,67],[2,3,32]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=30,(2,3)=32,(0,1)=53,(1,3)=67,(1,2)=68,(0,3)=88]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=30 Succeeded, w=30\",\"Find(2)=0, Find(3)=3, Add (2,3)=32 Succeeded, w=62\",\"Find(0)=0, Find(1)=1, Add (0,1)=53 Succeeded, w=115\",\"Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=115\",\"Find(1)=0, Find(2)=0, Add (1,2)=68 Failed, w=115\",\"Find(0)=0, Find(3)=0, Add (0,3)=88 Failed, w=115\"],\"Answer\":115}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,30],[0,3,88],[1,2,68],[1,3,67],[2,3,32]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=30,(2,3)=32,(0,1)=53,(1,3)=67,(1,2)=68,(0,3)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=30 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=32 Succeeded, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=53 Succeeded, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=68 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=88 Failed, w=115\"],\"Answer\":115}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,29],[0,2,15],[0,3,31],[0,4,10],[1,2,15],[1,3,14],[1,4,89],[2,3,76],[2,4,67],[3,4,9]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,15],[0,3,31],[0,4,10],[1,2,15],[1,3,14],[1,4,89],[2,3,76],[2,4,67],[3,4,9]]}", "role": "user" }, { "content": "{\"Answer\":48}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,15],[0,3,31],[0,4,10],[1,2,15],[1,3,14],[1,4,89],[2,3,76],[2,4,67],[3,4,9]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":48}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,15],[0,3,31],[0,4,10],[1,2,15],[1,3,14],[1,4,89],[2,3,76],[2,4,67],[3,4,9]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=9, w=9\",\"Add (0,4)=10, w=19\",\"Add (1,3)=14, w=33\",\"Add (0,2)=15, w=48\"],\"Answer\":48}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,15],[0,3,31],[0,4,10],[1,2,15],[1,3,14],[1,4,89],[2,3,76],[2,4,67],[3,4,9]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=9 Succeeded, w=9\",\"Add (0,4)=10 Succeeded, w=19\",\"Add (1,3)=14 Succeeded, w=33\",\"Add (0,2)=15 Succeeded, w=48\",\"Add (1,2)=15 Failed, w=48\",\"Add (0,1)=29 Failed, w=48\",\"Add (0,3)=31 Failed, w=48\",\"Add (2,4)=67 Failed, w=48\",\"Add (2,3)=76 Failed, w=48\",\"Add (1,4)=89 Failed, w=48\"],\"Answer\":48}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,15],[0,3,31],[0,4,10],[1,2,15],[1,3,14],[1,4,89],[2,3,76],[2,4,67],[3,4,9]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=9,(0,4)=10,(1,3)=14,(0,2)=15,(1,2)=15,(0,1)=29,(0,3)=31,(2,4)=67,(2,3)=76,(1,4)=89]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=9 Succeeded, w=9\",\"Find(0)=0, Find(4)=3, Add (0,4)=10 Succeeded, w=19\",\"Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=33\",\"Find(0)=3, Find(2)=2, Add (0,2)=15 Succeeded, w=48\",\"Find(1)=3, Find(2)=3, Add (1,2)=15 Failed, w=48\",\"Find(0)=3, Find(1)=3, Add (0,1)=29 Failed, w=48\",\"Find(0)=3, Find(3)=3, Add (0,3)=31 Failed, w=48\",\"Find(2)=3, Find(4)=3, Add (2,4)=67 Failed, w=48\",\"Find(2)=3, Find(3)=3, Add (2,3)=76 Failed, w=48\",\"Find(1)=3, Find(4)=3, Add (1,4)=89 Failed, w=48\"],\"Answer\":48}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,15],[0,3,31],[0,4,10],[1,2,15],[1,3,14],[1,4,89],[2,3,76],[2,4,67],[3,4,9]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=9,(0,4)=10,(1,3)=14,(0,2)=15,(1,2)=15,(0,1)=29,(0,3)=31,(2,4)=67,(2,3)=76,(1,4)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=9 Succeeded, w=9\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=10 Succeeded, w=19\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=33\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(2)=2, Add (0,2)=15 Succeeded, w=48\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(2)=3, Add (1,2)=15 Failed, w=48\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(1)=3, Add (0,1)=29 Failed, w=48\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(3)=3, Add (0,3)=31 Failed, w=48\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(4)=3, Add (2,4)=67 Failed, w=48\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(3)=3, Add (2,3)=76 Failed, w=48\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(4)=3, Add (1,4)=89 Failed, w=48\"],\"Answer\":48}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,97],[0,3,56],[0,4,44],[0,5,0],[1,2,36],[1,5,46],[2,4,64],[2,5,17],[3,5,98],[4,5,92]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,97],[0,3,56],[0,4,44],[0,5,0],[1,2,36],[1,5,46],[2,4,64],[2,5,17],[3,5,98],[4,5,92]]}", "role": "user" }, { "content": "{\"Answer\":153}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,97],[0,3,56],[0,4,44],[0,5,0],[1,2,36],[1,5,46],[2,4,64],[2,5,17],[3,5,98],[4,5,92]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)\",\"Add (2,5)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (0,3)\"],\"Answer\":153}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,97],[0,3,56],[0,4,44],[0,5,0],[1,2,36],[1,5,46],[2,4,64],[2,5,17],[3,5,98],[4,5,92]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)=0, w=0\",\"Add (2,5)=17, w=17\",\"Add (1,2)=36, w=53\",\"Add (0,4)=44, w=97\",\"Add (0,3)=56, w=153\"],\"Answer\":153}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,97],[0,3,56],[0,4,44],[0,5,0],[1,2,36],[1,5,46],[2,4,64],[2,5,17],[3,5,98],[4,5,92]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)=0 Succeeded, w=0\",\"Add (2,5)=17 Succeeded, w=17\",\"Add (1,2)=36 Succeeded, w=53\",\"Add (0,4)=44 Succeeded, w=97\",\"Add (1,5)=46 Failed, w=97\",\"Add (0,3)=56 Succeeded, w=153\",\"Add (2,4)=64 Failed, w=153\",\"Add (4,5)=92 Failed, w=153\",\"Add (0,2)=97 Failed, w=153\",\"Add (3,5)=98 Failed, w=153\"],\"Answer\":153}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,97],[0,3,56],[0,4,44],[0,5,0],[1,2,36],[1,5,46],[2,4,64],[2,5,17],[3,5,98],[4,5,92]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,5)=0,(2,5)=17,(1,2)=36,(0,4)=44,(1,5)=46,(0,3)=56,(2,4)=64,(4,5)=92,(0,2)=97,(3,5)=98]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Find(2)=2, Find(5)=0, Add (2,5)=17 Succeeded, w=17\",\"Find(1)=1, Find(2)=0, Add (1,2)=36 Succeeded, w=53\",\"Find(0)=0, Find(4)=4, Add (0,4)=44 Succeeded, w=97\",\"Find(1)=0, Find(5)=0, Add (1,5)=46 Failed, w=97\",\"Find(0)=0, Find(3)=3, Add (0,3)=56 Succeeded, w=153\",\"Find(2)=0, Find(4)=0, Add (2,4)=64 Failed, w=153\",\"Find(4)=0, Find(5)=0, Add (4,5)=92 Failed, w=153\",\"Find(0)=0, Find(2)=0, Add (0,2)=97 Failed, w=153\",\"Find(3)=0, Find(5)=0, Add (3,5)=98 Failed, w=153\"],\"Answer\":153}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,97],[0,3,56],[0,4,44],[0,5,0],[1,2,36],[1,5,46],[2,4,64],[2,5,17],[3,5,98],[4,5,92]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,5)=0,(2,5)=17,(1,2)=36,(0,4)=44,(1,5)=46,(0,3)=56,(2,4)=64,(4,5)=92,(0,2)=97,(3,5)=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: 0, 3: 3, 4: 4, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0}, Find(1)=1, Find(2)=0, Add (1,2)=36 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(4)=4, Add (0,4)=44 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=46 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=3, Add (0,3)=56 Succeeded, w=153\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=64 Failed, w=153\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=92 Failed, w=153\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=97 Failed, w=153\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=98 Failed, w=153\"],\"Answer\":153}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,4],[0,4,7],[0,5,5],[1,2,87],[1,3,97],[1,4,42],[2,4,20],[2,5,5],[4,5,60]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,4,7],[0,5,5],[1,2,87],[1,3,97],[1,4,42],[2,4,20],[2,5,5],[4,5,60]]}", "role": "user" }, { "content": "{\"Answer\":118}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,4,7],[0,5,5],[1,2,87],[1,3,97],[1,4,42],[2,4,20],[2,5,5],[4,5,60]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (0,5)\",\"Add (2,5)\",\"Add (0,4)\",\"Add (1,3)\"],\"Answer\":118}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,4,7],[0,5,5],[1,2,87],[1,3,97],[1,4,42],[2,4,20],[2,5,5],[4,5,60]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=4, w=4\",\"Add (0,5)=5, w=9\",\"Add (2,5)=5, w=14\",\"Add (0,4)=7, w=21\",\"Add (1,3)=97, w=118\"],\"Answer\":118}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,4,7],[0,5,5],[1,2,87],[1,3,97],[1,4,42],[2,4,20],[2,5,5],[4,5,60]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=4 Succeeded, w=4\",\"Add (0,5)=5 Succeeded, w=9\",\"Add (2,5)=5 Succeeded, w=14\",\"Add (0,4)=7 Succeeded, w=21\",\"Add (2,4)=20 Failed, w=21\",\"Add (1,4)=42 Failed, w=21\",\"Add (4,5)=60 Failed, w=21\",\"Add (1,2)=87 Failed, w=21\",\"Add (1,3)=97 Succeeded, w=118\"],\"Answer\":118}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,4,7],[0,5,5],[1,2,87],[1,3,97],[1,4,42],[2,4,20],[2,5,5],[4,5,60]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=4,(0,5)=5,(2,5)=5,(0,4)=7,(2,4)=20,(1,4)=42,(4,5)=60,(1,2)=87,(1,3)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=9\",\"Find(2)=2, Find(5)=0, Add (2,5)=5 Succeeded, w=14\",\"Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=21\",\"Find(2)=0, Find(4)=0, Add (2,4)=20 Failed, w=21\",\"Find(1)=0, Find(4)=0, Add (1,4)=42 Failed, w=21\",\"Find(4)=0, Find(5)=0, Add (4,5)=60 Failed, w=21\",\"Find(1)=0, Find(2)=0, Add (1,2)=87 Failed, w=21\",\"Find(1)=0, Find(3)=3, Add (1,3)=97 Succeeded, w=118\"],\"Answer\":118}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,4,7],[0,5,5],[1,2,87],[1,3,97],[1,4,42],[2,4,20],[2,5,5],[4,5,60]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=4,(0,5)=5,(2,5)=5,(0,4)=7,(2,4)=20,(1,4)=42,(4,5)=60,(1,2)=87,(1,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=5 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=20 Failed, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=42 Failed, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=60 Failed, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=87 Failed, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=3, Add (1,3)=97 Succeeded, w=118\"],\"Answer\":118}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,78],[0,4,86],[0,5,61],[0,6,59],[1,4,97],[1,5,12],[1,6,32],[2,3,23],[2,5,62],[2,6,5],[2,7,91],[3,5,47],[3,7,8],[4,5,95],[4,7,11],[5,6,51],[5,7,30],[6,7,34]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,78],[0,4,86],[0,5,61],[0,6,59],[1,4,97],[1,5,12],[1,6,32],[2,3,23],[2,5,62],[2,6,5],[2,7,91],[3,5,47],[3,7,8],[4,5,95],[4,7,11],[5,6,51],[5,7,30],[6,7,34]]}", "role": "user" }, { "content": "{\"Answer\":148}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,78],[0,4,86],[0,5,61],[0,6,59],[1,4,97],[1,5,12],[1,6,32],[2,3,23],[2,5,62],[2,6,5],[2,7,91],[3,5,47],[3,7,8],[4,5,95],[4,7,11],[5,6,51],[5,7,30],[6,7,34]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,6)\",\"Add (3,7)\",\"Add (4,7)\",\"Add (1,5)\",\"Add (2,3)\",\"Add (5,7)\",\"Add (0,6)\"],\"Answer\":148}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,78],[0,4,86],[0,5,61],[0,6,59],[1,4,97],[1,5,12],[1,6,32],[2,3,23],[2,5,62],[2,6,5],[2,7,91],[3,5,47],[3,7,8],[4,5,95],[4,7,11],[5,6,51],[5,7,30],[6,7,34]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,6)=5, w=5\",\"Add (3,7)=8, w=13\",\"Add (4,7)=11, w=24\",\"Add (1,5)=12, w=36\",\"Add (2,3)=23, w=59\",\"Add (5,7)=30, w=89\",\"Add (0,6)=59, w=148\"],\"Answer\":148}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,78],[0,4,86],[0,5,61],[0,6,59],[1,4,97],[1,5,12],[1,6,32],[2,3,23],[2,5,62],[2,6,5],[2,7,91],[3,5,47],[3,7,8],[4,5,95],[4,7,11],[5,6,51],[5,7,30],[6,7,34]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,6)=5 Succeeded, w=5\",\"Add (3,7)=8 Succeeded, w=13\",\"Add (4,7)=11 Succeeded, w=24\",\"Add (1,5)=12 Succeeded, w=36\",\"Add (2,3)=23 Succeeded, w=59\",\"Add (5,7)=30 Succeeded, w=89\",\"Add (1,6)=32 Failed, w=89\",\"Add (6,7)=34 Failed, w=89\",\"Add (3,5)=47 Failed, w=89\",\"Add (5,6)=51 Failed, w=89\",\"Add (0,6)=59 Succeeded, w=148\",\"Add (0,5)=61 Failed, w=148\",\"Add (2,5)=62 Failed, w=148\",\"Add (0,3)=78 Failed, w=148\",\"Add (0,4)=86 Failed, w=148\",\"Add (2,7)=91 Failed, w=148\",\"Add (4,5)=95 Failed, w=148\",\"Add (1,4)=97 Failed, w=148\"],\"Answer\":148}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,78],[0,4,86],[0,5,61],[0,6,59],[1,4,97],[1,5,12],[1,6,32],[2,3,23],[2,5,62],[2,6,5],[2,7,91],[3,5,47],[3,7,8],[4,5,95],[4,7,11],[5,6,51],[5,7,30],[6,7,34]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,6)=5,(3,7)=8,(4,7)=11,(1,5)=12,(2,3)=23,(5,7)=30,(1,6)=32,(6,7)=34,(3,5)=47,(5,6)=51,(0,6)=59,(0,5)=61,(2,5)=62,(0,3)=78,(0,4)=86,(2,7)=91,(4,5)=95,(1,4)=97]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=5 Succeeded, w=5\",\"Find(3)=3, Find(7)=7, Add (3,7)=8 Succeeded, w=13\",\"Find(4)=4, Find(7)=3, Add (4,7)=11 Succeeded, w=24\",\"Find(1)=1, Find(5)=5, Add (1,5)=12 Succeeded, w=36\",\"Find(2)=2, Find(3)=3, Add (2,3)=23 Succeeded, w=59\",\"Find(5)=1, Find(7)=2, Add (5,7)=30 Succeeded, w=89\",\"Find(1)=2, Find(6)=2, Add (1,6)=32 Failed, w=89\",\"Find(6)=2, Find(7)=2, Add (6,7)=34 Failed, w=89\",\"Find(3)=2, Find(5)=2, Add (3,5)=47 Failed, w=89\",\"Find(5)=2, Find(6)=2, Add (5,6)=51 Failed, w=89\",\"Find(0)=0, Find(6)=2, Add (0,6)=59 Succeeded, w=148\",\"Find(0)=2, Find(5)=2, Add (0,5)=61 Failed, w=148\",\"Find(2)=2, Find(5)=2, Add (2,5)=62 Failed, w=148\",\"Find(0)=2, Find(3)=2, Add (0,3)=78 Failed, w=148\",\"Find(0)=2, Find(4)=2, Add (0,4)=86 Failed, w=148\",\"Find(2)=2, Find(7)=2, Add (2,7)=91 Failed, w=148\",\"Find(4)=2, Find(5)=2, Add (4,5)=95 Failed, w=148\",\"Find(1)=2, Find(4)=2, Add (1,4)=97 Failed, w=148\"],\"Answer\":148}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,78],[0,4,86],[0,5,61],[0,6,59],[1,4,97],[1,5,12],[1,6,32],[2,3,23],[2,5,62],[2,6,5],[2,7,91],[3,5,47],[3,7,8],[4,5,95],[4,7,11],[5,6,51],[5,7,30],[6,7,34]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,6)=5,(3,7)=8,(4,7)=11,(1,5)=12,(2,3)=23,(5,7)=30,(1,6)=32,(6,7)=34,(3,5)=47,(5,6)=51,(0,6)=59,(0,5)=61,(2,5)=62,(0,3)=78,(0,4)=86,(2,7)=91,(4,5)=95,(1,4)=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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=8 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 2, 7: 3}, Find(4)=4, Find(7)=3, Add (4,7)=11 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1, 6: 2, 7: 3}, Find(1)=1, Find(5)=5, Add (1,5)=12 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 3, 5: 1, 6: 2, 7: 3}, Find(2)=2, Find(3)=3, Add (2,3)=23 Succeeded, w=59\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 3, 5: 1, 6: 2, 7: 2}, Find(5)=1, Find(7)=2, Add (5,7)=30 Succeeded, w=89\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 3, 5: 1, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=32 Failed, w=89\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 3, 5: 1, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=34 Failed, w=89\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=47 Failed, w=89\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=51 Failed, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2, 7: 2}, Find(0)=0, Find(6)=2, Add (0,6)=59 Succeeded, w=148\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=61 Failed, w=148\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=62 Failed, w=148\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=78 Failed, w=148\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=86 Failed, w=148\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=91 Failed, w=148\",\"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)=95 Failed, w=148\",\"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=148\"],\"Answer\":148}", "role": "assistant" } ]

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