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":[0,1,2,3,4],"edges":[[1,2,78],[1,3,76],[2,3,45],[2,4,59]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,78],[1,3,76],[2,3,45],[2,4,59]]}", "role": "user" }, { "content": "{\"Answer\":180}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,78],[1,3,76],[2,3,45],[2,4,59]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (2,4)\",\"Add (1,3)\"],\"Answer\":180}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,78],[1,3,76],[2,3,45],[2,4,59]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=45, w=45\",\"Add (2,4)=59, w=104\",\"Add (1,3)=76, w=180\"],\"Answer\":180}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,78],[1,3,76],[2,3,45],[2,4,59]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=45 Succeeded, w=45\",\"Add (2,4)=59 Succeeded, w=104\",\"Add (1,3)=76 Succeeded, w=180\",\"Add (1,2)=78 Failed, w=180\"],\"Answer\":180}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,78],[1,3,76],[2,3,45],[2,4,59]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=45,(2,4)=59,(1,3)=76,(1,2)=78]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=45 Succeeded, w=45\",\"Find(2)=2, Find(4)=4, Add (2,4)=59 Succeeded, w=104\",\"Find(1)=1, Find(3)=2, Add (1,3)=76 Succeeded, w=180\",\"Find(1)=2, Find(2)=2, Add (1,2)=78 Failed, w=180\"],\"Answer\":180}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,78],[1,3,76],[2,3,45],[2,4,59]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=45,(2,4)=59,(1,3)=76,(1,2)=78]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=45 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=59 Succeeded, w=104\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(3)=2, Add (1,3)=76 Succeeded, w=180\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=78 Failed, w=180\"],\"Answer\":180}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,93],[0,2,4],[0,3,52],[0,4,50],[0,5,66],[1,2,13],[1,3,17],[1,4,77],[1,5,94],[2,3,29],[2,4,70],[2,5,9],[3,4,85],[3,5,6],[4,5,11]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,93],[0,2,4],[0,3,52],[0,4,50],[0,5,66],[1,2,13],[1,3,17],[1,4,77],[1,5,94],[2,3,29],[2,4,70],[2,5,9],[3,4,85],[3,5,6],[4,5,11]]}", "role": "user" }, { "content": "{\"Answer\":43}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,93],[0,2,4],[0,3,52],[0,4,50],[0,5,66],[1,2,13],[1,3,17],[1,4,77],[1,5,94],[2,3,29],[2,4,70],[2,5,9],[3,4,85],[3,5,6],[4,5,11]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (3,5)\",\"Add (2,5)\",\"Add (4,5)\",\"Add (1,2)\"],\"Answer\":43}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,93],[0,2,4],[0,3,52],[0,4,50],[0,5,66],[1,2,13],[1,3,17],[1,4,77],[1,5,94],[2,3,29],[2,4,70],[2,5,9],[3,4,85],[3,5,6],[4,5,11]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=4, w=4\",\"Add (3,5)=6, w=10\",\"Add (2,5)=9, w=19\",\"Add (4,5)=11, w=30\",\"Add (1,2)=13, w=43\"],\"Answer\":43}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,93],[0,2,4],[0,3,52],[0,4,50],[0,5,66],[1,2,13],[1,3,17],[1,4,77],[1,5,94],[2,3,29],[2,4,70],[2,5,9],[3,4,85],[3,5,6],[4,5,11]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=4 Succeeded, w=4\",\"Add (3,5)=6 Succeeded, w=10\",\"Add (2,5)=9 Succeeded, w=19\",\"Add (4,5)=11 Succeeded, w=30\",\"Add (1,2)=13 Succeeded, w=43\",\"Add (1,3)=17 Failed, w=43\",\"Add (2,3)=29 Failed, w=43\",\"Add (0,4)=50 Failed, w=43\",\"Add (0,3)=52 Failed, w=43\",\"Add (0,5)=66 Failed, w=43\",\"Add (2,4)=70 Failed, w=43\",\"Add (1,4)=77 Failed, w=43\",\"Add (3,4)=85 Failed, w=43\",\"Add (0,1)=93 Failed, w=43\",\"Add (1,5)=94 Failed, w=43\"],\"Answer\":43}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,93],[0,2,4],[0,3,52],[0,4,50],[0,5,66],[1,2,13],[1,3,17],[1,4,77],[1,5,94],[2,3,29],[2,4,70],[2,5,9],[3,4,85],[3,5,6],[4,5,11]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=4,(3,5)=6,(2,5)=9,(4,5)=11,(1,2)=13,(1,3)=17,(2,3)=29,(0,4)=50,(0,3)=52,(0,5)=66,(2,4)=70,(1,4)=77,(3,4)=85,(0,1)=93,(1,5)=94]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Find(3)=3, Find(5)=5, Add (3,5)=6 Succeeded, w=10\",\"Find(2)=0, Find(5)=3, Add (2,5)=9 Succeeded, w=19\",\"Find(4)=4, Find(5)=0, Add (4,5)=11 Succeeded, w=30\",\"Find(1)=1, Find(2)=0, Add (1,2)=13 Succeeded, w=43\",\"Find(1)=0, Find(3)=0, Add (1,3)=17 Failed, w=43\",\"Find(2)=0, Find(3)=0, Add (2,3)=29 Failed, w=43\",\"Find(0)=0, Find(4)=0, Add (0,4)=50 Failed, w=43\",\"Find(0)=0, Find(3)=0, Add (0,3)=52 Failed, w=43\",\"Find(0)=0, Find(5)=0, Add (0,5)=66 Failed, w=43\",\"Find(2)=0, Find(4)=0, Add (2,4)=70 Failed, w=43\",\"Find(1)=0, Find(4)=0, Add (1,4)=77 Failed, w=43\",\"Find(3)=0, Find(4)=0, Add (3,4)=85 Failed, w=43\",\"Find(0)=0, Find(1)=0, Add (0,1)=93 Failed, w=43\",\"Find(1)=0, Find(5)=0, Add (1,5)=94 Failed, w=43\"],\"Answer\":43}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,93],[0,2,4],[0,3,52],[0,4,50],[0,5,66],[1,2,13],[1,3,17],[1,4,77],[1,5,94],[2,3,29],[2,4,70],[2,5,9],[3,4,85],[3,5,6],[4,5,11]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=4,(3,5)=6,(2,5)=9,(4,5)=11,(1,2)=13,(1,3)=17,(2,3)=29,(0,4)=50,(0,3)=52,(0,5)=66,(2,4)=70,(1,4)=77,(3,4)=85,(0,1)=93,(1,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 3}, Find(2)=0, Find(5)=3, Add (2,5)=9 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=4, Find(5)=0, Add (4,5)=11 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(2)=0, Add (1,2)=13 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=17 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=29 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=50 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=52 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=66 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=70 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=77 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=85 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=93 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=94 Failed, w=43\"],\"Answer\":43}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,62],[0,2,97],[0,3,3],[0,4,35],[0,5,76],[0,6,28],[0,7,82],[1,2,88],[1,3,75],[1,4,57],[1,5,44],[1,6,85],[1,7,57],[2,3,7],[2,4,49],[2,5,96],[2,6,41],[2,7,22],[3,4,26],[3,5,85],[3,6,31],[3,7,81],[4,5,3],[4,6,80],[4,7,2],[5,6,36],[6,7,95]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,97],[0,3,3],[0,4,35],[0,5,76],[0,6,28],[0,7,82],[1,2,88],[1,3,75],[1,4,57],[1,5,44],[1,6,85],[1,7,57],[2,3,7],[2,4,49],[2,5,96],[2,6,41],[2,7,22],[3,4,26],[3,5,85],[3,6,31],[3,7,81],[4,5,3],[4,6,80],[4,7,2],[5,6,36],[6,7,95]]}", "role": "user" }, { "content": "{\"Answer\":109}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,97],[0,3,3],[0,4,35],[0,5,76],[0,6,28],[0,7,82],[1,2,88],[1,3,75],[1,4,57],[1,5,44],[1,6,85],[1,7,57],[2,3,7],[2,4,49],[2,5,96],[2,6,41],[2,7,22],[3,4,26],[3,5,85],[3,6,31],[3,7,81],[4,5,3],[4,6,80],[4,7,2],[5,6,36],[6,7,95]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,7)\",\"Add (0,3)\",\"Add (4,5)\",\"Add (2,3)\",\"Add (2,7)\",\"Add (0,6)\",\"Add (1,5)\"],\"Answer\":109}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,97],[0,3,3],[0,4,35],[0,5,76],[0,6,28],[0,7,82],[1,2,88],[1,3,75],[1,4,57],[1,5,44],[1,6,85],[1,7,57],[2,3,7],[2,4,49],[2,5,96],[2,6,41],[2,7,22],[3,4,26],[3,5,85],[3,6,31],[3,7,81],[4,5,3],[4,6,80],[4,7,2],[5,6,36],[6,7,95]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,7)=2, w=2\",\"Add (0,3)=3, w=5\",\"Add (4,5)=3, w=8\",\"Add (2,3)=7, w=15\",\"Add (2,7)=22, w=37\",\"Add (0,6)=28, w=65\",\"Add (1,5)=44, w=109\"],\"Answer\":109}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,97],[0,3,3],[0,4,35],[0,5,76],[0,6,28],[0,7,82],[1,2,88],[1,3,75],[1,4,57],[1,5,44],[1,6,85],[1,7,57],[2,3,7],[2,4,49],[2,5,96],[2,6,41],[2,7,22],[3,4,26],[3,5,85],[3,6,31],[3,7,81],[4,5,3],[4,6,80],[4,7,2],[5,6,36],[6,7,95]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,7)=2 Succeeded, w=2\",\"Add (0,3)=3 Succeeded, w=5\",\"Add (4,5)=3 Succeeded, w=8\",\"Add (2,3)=7 Succeeded, w=15\",\"Add (2,7)=22 Succeeded, w=37\",\"Add (3,4)=26 Failed, w=37\",\"Add (0,6)=28 Succeeded, w=65\",\"Add (3,6)=31 Failed, w=65\",\"Add (0,4)=35 Failed, w=65\",\"Add (5,6)=36 Failed, w=65\",\"Add (2,6)=41 Failed, w=65\",\"Add (1,5)=44 Succeeded, w=109\",\"Add (2,4)=49 Failed, w=109\",\"Add (1,4)=57 Failed, w=109\",\"Add (1,7)=57 Failed, w=109\",\"Add (0,1)=62 Failed, w=109\",\"Add (1,3)=75 Failed, w=109\",\"Add (0,5)=76 Failed, w=109\",\"Add (4,6)=80 Failed, w=109\",\"Add (3,7)=81 Failed, w=109\",\"Add (0,7)=82 Failed, w=109\",\"Add (1,6)=85 Failed, w=109\",\"Add (3,5)=85 Failed, w=109\",\"Add (1,2)=88 Failed, w=109\",\"Add (6,7)=95 Failed, w=109\",\"Add (2,5)=96 Failed, w=109\",\"Add (0,2)=97 Failed, w=109\"],\"Answer\":109}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,97],[0,3,3],[0,4,35],[0,5,76],[0,6,28],[0,7,82],[1,2,88],[1,3,75],[1,4,57],[1,5,44],[1,6,85],[1,7,57],[2,3,7],[2,4,49],[2,5,96],[2,6,41],[2,7,22],[3,4,26],[3,5,85],[3,6,31],[3,7,81],[4,5,3],[4,6,80],[4,7,2],[5,6,36],[6,7,95]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(4,7)=2,(0,3)=3,(4,5)=3,(2,3)=7,(2,7)=22,(3,4)=26,(0,6)=28,(3,6)=31,(0,4)=35,(5,6)=36,(2,6)=41,(1,5)=44,(2,4)=49,(1,4)=57,(1,7)=57,(0,1)=62,(1,3)=75,(0,5)=76,(4,6)=80,(3,7)=81,(0,7)=82,(1,6)=85,(3,5)=85,(1,2)=88,(6,7)=95,(2,5)=96,(0,2)=97]\",\"Process\":[\"Find(4)=4, Find(7)=7, Add (4,7)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=5\",\"Find(4)=4, Find(5)=5, Add (4,5)=3 Succeeded, w=8\",\"Find(2)=2, Find(3)=0, Add (2,3)=7 Succeeded, w=15\",\"Find(2)=0, Find(7)=4, Add (2,7)=22 Succeeded, w=37\",\"Find(3)=0, Find(4)=0, Add (3,4)=26 Failed, w=37\",\"Find(0)=0, Find(6)=6, Add (0,6)=28 Succeeded, w=65\",\"Find(3)=0, Find(6)=0, Add (3,6)=31 Failed, w=65\",\"Find(0)=0, Find(4)=0, Add (0,4)=35 Failed, w=65\",\"Find(5)=0, Find(6)=0, Add (5,6)=36 Failed, w=65\",\"Find(2)=0, Find(6)=0, Add (2,6)=41 Failed, w=65\",\"Find(1)=1, Find(5)=0, Add (1,5)=44 Succeeded, w=109\",\"Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=109\",\"Find(1)=0, Find(4)=0, Add (1,4)=57 Failed, w=109\",\"Find(1)=0, Find(7)=0, Add (1,7)=57 Failed, w=109\",\"Find(0)=0, Find(1)=0, Add (0,1)=62 Failed, w=109\",\"Find(1)=0, Find(3)=0, Add (1,3)=75 Failed, w=109\",\"Find(0)=0, Find(5)=0, Add (0,5)=76 Failed, w=109\",\"Find(4)=0, Find(6)=0, Add (4,6)=80 Failed, w=109\",\"Find(3)=0, Find(7)=0, Add (3,7)=81 Failed, w=109\",\"Find(0)=0, Find(7)=0, Add (0,7)=82 Failed, w=109\",\"Find(1)=0, Find(6)=0, Add (1,6)=85 Failed, w=109\",\"Find(3)=0, Find(5)=0, Add (3,5)=85 Failed, w=109\",\"Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=109\",\"Find(6)=0, Find(7)=0, Add (6,7)=95 Failed, w=109\",\"Find(2)=0, Find(5)=0, Add (2,5)=96 Failed, w=109\",\"Find(0)=0, Find(2)=0, Add (0,2)=97 Failed, w=109\"],\"Answer\":109}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,97],[0,3,3],[0,4,35],[0,5,76],[0,6,28],[0,7,82],[1,2,88],[1,3,75],[1,4,57],[1,5,44],[1,6,85],[1,7,57],[2,3,7],[2,4,49],[2,5,96],[2,6,41],[2,7,22],[3,4,26],[3,5,85],[3,6,31],[3,7,81],[4,5,3],[4,6,80],[4,7,2],[5,6,36],[6,7,95]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(4,7)=2,(0,3)=3,(4,5)=3,(2,3)=7,(2,7)=22,(3,4)=26,(0,6)=28,(3,6)=31,(0,4)=35,(5,6)=36,(2,6)=41,(1,5)=44,(2,4)=49,(1,4)=57,(1,7)=57,(0,1)=62,(1,3)=75,(0,5)=76,(4,6)=80,(3,7)=81,(0,7)=82,(1,6)=85,(3,5)=85,(1,2)=88,(6,7)=95,(2,5)=96,(0,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 4}, Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 6, 7: 4}, Find(4)=4, Find(5)=5, Add (4,5)=3 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 4, 6: 6, 7: 4}, Find(2)=2, Find(3)=0, Add (2,3)=7 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 4, 6: 6, 7: 4}, Find(2)=0, Find(7)=4, Add (2,7)=22 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 4, 6: 6, 7: 4}, Find(3)=0, Find(4)=0, Add (3,4)=26 Failed, w=37\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 4}, Find(0)=0, Find(6)=6, Add (0,6)=28 Succeeded, w=65\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 4}, Find(3)=0, Find(6)=0, Add (3,6)=31 Failed, w=65\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 4}, Find(0)=0, Find(4)=0, Add (0,4)=35 Failed, w=65\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(5)=0, Find(6)=0, Add (5,6)=36 Failed, w=65\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(2)=0, Find(6)=0, Add (2,6)=41 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(1)=1, Find(5)=0, Add (1,5)=44 Succeeded, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(1)=0, Find(4)=0, Add (1,4)=57 Failed, w=109\",\"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)=57 Failed, w=109\",\"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)=62 Failed, w=109\",\"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)=75 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=76 Failed, w=109\",\"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)=80 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=81 Failed, w=109\",\"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)=82 Failed, w=109\",\"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)=85 Failed, w=109\",\"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)=85 Failed, w=109\",\"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)=88 Failed, w=109\",\"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)=95 Failed, w=109\",\"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)=96 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=97 Failed, w=109\"],\"Answer\":109}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,74],[0,2,31],[0,3,68],[0,5,40],[1,2,15],[1,3,54],[1,4,55],[1,5,3],[2,3,48],[2,4,25],[2,5,2],[3,4,32],[3,5,90],[4,5,57]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,2,31],[0,3,68],[0,5,40],[1,2,15],[1,3,54],[1,4,55],[1,5,3],[2,3,48],[2,4,25],[2,5,2],[3,4,32],[3,5,90],[4,5,57]]}", "role": "user" }, { "content": "{\"Answer\":93}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,2,31],[0,3,68],[0,5,40],[1,2,15],[1,3,54],[1,4,55],[1,5,3],[2,3,48],[2,4,25],[2,5,2],[3,4,32],[3,5,90],[4,5,57]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)\",\"Add (1,5)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (3,4)\"],\"Answer\":93}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,2,31],[0,3,68],[0,5,40],[1,2,15],[1,3,54],[1,4,55],[1,5,3],[2,3,48],[2,4,25],[2,5,2],[3,4,32],[3,5,90],[4,5,57]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=2, w=2\",\"Add (1,5)=3, w=5\",\"Add (2,4)=25, w=30\",\"Add (0,2)=31, w=61\",\"Add (3,4)=32, w=93\"],\"Answer\":93}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,2,31],[0,3,68],[0,5,40],[1,2,15],[1,3,54],[1,4,55],[1,5,3],[2,3,48],[2,4,25],[2,5,2],[3,4,32],[3,5,90],[4,5,57]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=2 Succeeded, w=2\",\"Add (1,5)=3 Succeeded, w=5\",\"Add (1,2)=15 Failed, w=5\",\"Add (2,4)=25 Succeeded, w=30\",\"Add (0,2)=31 Succeeded, w=61\",\"Add (3,4)=32 Succeeded, w=93\",\"Add (0,5)=40 Failed, w=93\",\"Add (2,3)=48 Failed, w=93\",\"Add (1,3)=54 Failed, w=93\",\"Add (1,4)=55 Failed, w=93\",\"Add (4,5)=57 Failed, w=93\",\"Add (0,3)=68 Failed, w=93\",\"Add (0,1)=74 Failed, w=93\",\"Add (3,5)=90 Failed, w=93\"],\"Answer\":93}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,2,31],[0,3,68],[0,5,40],[1,2,15],[1,3,54],[1,4,55],[1,5,3],[2,3,48],[2,4,25],[2,5,2],[3,4,32],[3,5,90],[4,5,57]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=2,(1,5)=3,(1,2)=15,(2,4)=25,(0,2)=31,(3,4)=32,(0,5)=40,(2,3)=48,(1,3)=54,(1,4)=55,(4,5)=57,(0,3)=68,(0,1)=74,(3,5)=90]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=2\",\"Find(1)=1, Find(5)=2, Add (1,5)=3 Succeeded, w=5\",\"Find(1)=2, Find(2)=2, Add (1,2)=15 Failed, w=5\",\"Find(2)=2, Find(4)=4, Add (2,4)=25 Succeeded, w=30\",\"Find(0)=0, Find(2)=2, Add (0,2)=31 Succeeded, w=61\",\"Find(3)=3, Find(4)=2, Add (3,4)=32 Succeeded, w=93\",\"Find(0)=2, Find(5)=2, Add (0,5)=40 Failed, w=93\",\"Find(2)=2, Find(3)=2, Add (2,3)=48 Failed, w=93\",\"Find(1)=2, Find(3)=2, Add (1,3)=54 Failed, w=93\",\"Find(1)=2, Find(4)=2, Add (1,4)=55 Failed, w=93\",\"Find(4)=2, Find(5)=2, Add (4,5)=57 Failed, w=93\",\"Find(0)=2, Find(3)=2, Add (0,3)=68 Failed, w=93\",\"Find(0)=2, Find(1)=2, Add (0,1)=74 Failed, w=93\",\"Find(3)=2, Find(5)=2, Add (3,5)=90 Failed, w=93\"],\"Answer\":93}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,2,31],[0,3,68],[0,5,40],[1,2,15],[1,3,54],[1,4,55],[1,5,3],[2,3,48],[2,4,25],[2,5,2],[3,4,32],[3,5,90],[4,5,57]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=2,(1,5)=3,(1,2)=15,(2,4)=25,(0,2)=31,(3,4)=32,(0,5)=40,(2,3)=48,(1,3)=54,(1,4)=55,(4,5)=57,(0,3)=68,(0,1)=74,(3,5)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=15 Failed, w=5\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(2)=2, Find(4)=4, Add (2,4)=25 Succeeded, w=30\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=31 Succeeded, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=3, Find(4)=2, Add (3,4)=32 Succeeded, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=40 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=48 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=54 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=55 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=57 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=68 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=74 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=90 Failed, w=93\"],\"Answer\":93}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,61],[1,3,88],[2,3,82]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[1,3,88],[2,3,82]]}", "role": "user" }, { "content": "{\"Answer\":231}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[1,3,88],[2,3,82]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":231}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[1,3,88],[2,3,82]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=61, w=61\",\"Add (2,3)=82, w=143\",\"Add (1,3)=88, w=231\"],\"Answer\":231}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[1,3,88],[2,3,82]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=61 Succeeded, w=61\",\"Add (2,3)=82 Succeeded, w=143\",\"Add (1,3)=88 Succeeded, w=231\"],\"Answer\":231}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[1,3,88],[2,3,82]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=61,(2,3)=82,(1,3)=88]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=61 Succeeded, w=61\",\"Find(2)=2, Find(3)=3, Add (2,3)=82 Succeeded, w=143\",\"Find(1)=0, Find(3)=2, Add (1,3)=88 Succeeded, w=231\"],\"Answer\":231}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[1,3,88],[2,3,82]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=61,(2,3)=82,(1,3)=88]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=61 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=82 Succeeded, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(3)=2, Add (1,3)=88 Succeeded, w=231\"],\"Answer\":231}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,57],[0,2,30],[0,3,50],[0,4,29],[0,5,30],[0,6,61],[0,7,40],[1,2,71],[1,3,25],[1,4,67],[1,5,94],[1,6,96],[1,7,7],[2,4,26],[2,5,23],[2,7,83],[3,4,67],[3,5,24],[3,6,63],[3,7,80],[4,5,26],[4,6,93],[4,7,28],[5,6,87],[5,7,29],[6,7,95]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,2,30],[0,3,50],[0,4,29],[0,5,30],[0,6,61],[0,7,40],[1,2,71],[1,3,25],[1,4,67],[1,5,94],[1,6,96],[1,7,7],[2,4,26],[2,5,23],[2,7,83],[3,4,67],[3,5,24],[3,6,63],[3,7,80],[4,5,26],[4,6,93],[4,7,28],[5,6,87],[5,7,29],[6,7,95]]}", "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\":[[0,1,57],[0,2,30],[0,3,50],[0,4,29],[0,5,30],[0,6,61],[0,7,40],[1,2,71],[1,3,25],[1,4,67],[1,5,94],[1,6,96],[1,7,7],[2,4,26],[2,5,23],[2,7,83],[3,4,67],[3,5,24],[3,6,63],[3,7,80],[4,5,26],[4,6,93],[4,7,28],[5,6,87],[5,7,29],[6,7,95]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,7)\",\"Add (2,5)\",\"Add (3,5)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (0,4)\",\"Add (0,6)\"],\"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\":[[0,1,57],[0,2,30],[0,3,50],[0,4,29],[0,5,30],[0,6,61],[0,7,40],[1,2,71],[1,3,25],[1,4,67],[1,5,94],[1,6,96],[1,7,7],[2,4,26],[2,5,23],[2,7,83],[3,4,67],[3,5,24],[3,6,63],[3,7,80],[4,5,26],[4,6,93],[4,7,28],[5,6,87],[5,7,29],[6,7,95]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,7)=7, w=7\",\"Add (2,5)=23, w=30\",\"Add (3,5)=24, w=54\",\"Add (1,3)=25, w=79\",\"Add (2,4)=26, w=105\",\"Add (0,4)=29, w=134\",\"Add (0,6)=61, 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\":[[0,1,57],[0,2,30],[0,3,50],[0,4,29],[0,5,30],[0,6,61],[0,7,40],[1,2,71],[1,3,25],[1,4,67],[1,5,94],[1,6,96],[1,7,7],[2,4,26],[2,5,23],[2,7,83],[3,4,67],[3,5,24],[3,6,63],[3,7,80],[4,5,26],[4,6,93],[4,7,28],[5,6,87],[5,7,29],[6,7,95]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,7)=7 Succeeded, w=7\",\"Add (2,5)=23 Succeeded, w=30\",\"Add (3,5)=24 Succeeded, w=54\",\"Add (1,3)=25 Succeeded, w=79\",\"Add (2,4)=26 Succeeded, w=105\",\"Add (4,5)=26 Failed, w=105\",\"Add (4,7)=28 Failed, w=105\",\"Add (0,4)=29 Succeeded, w=134\",\"Add (5,7)=29 Failed, w=134\",\"Add (0,2)=30 Failed, w=134\",\"Add (0,5)=30 Failed, w=134\",\"Add (0,7)=40 Failed, w=134\",\"Add (0,3)=50 Failed, w=134\",\"Add (0,1)=57 Failed, w=134\",\"Add (0,6)=61 Succeeded, w=195\",\"Add (3,6)=63 Failed, w=195\",\"Add (1,4)=67 Failed, w=195\",\"Add (3,4)=67 Failed, w=195\",\"Add (1,2)=71 Failed, w=195\",\"Add (3,7)=80 Failed, w=195\",\"Add (2,7)=83 Failed, w=195\",\"Add (5,6)=87 Failed, w=195\",\"Add (4,6)=93 Failed, w=195\",\"Add (1,5)=94 Failed, w=195\",\"Add (6,7)=95 Failed, w=195\",\"Add (1,6)=96 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\":[[0,1,57],[0,2,30],[0,3,50],[0,4,29],[0,5,30],[0,6,61],[0,7,40],[1,2,71],[1,3,25],[1,4,67],[1,5,94],[1,6,96],[1,7,7],[2,4,26],[2,5,23],[2,7,83],[3,4,67],[3,5,24],[3,6,63],[3,7,80],[4,5,26],[4,6,93],[4,7,28],[5,6,87],[5,7,29],[6,7,95]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,7)=7,(2,5)=23,(3,5)=24,(1,3)=25,(2,4)=26,(4,5)=26,(4,7)=28,(0,4)=29,(5,7)=29,(0,2)=30,(0,5)=30,(0,7)=40,(0,3)=50,(0,1)=57,(0,6)=61,(3,6)=63,(1,4)=67,(3,4)=67,(1,2)=71,(3,7)=80,(2,7)=83,(5,6)=87,(4,6)=93,(1,5)=94,(6,7)=95,(1,6)=96]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=7 Succeeded, w=7\",\"Find(2)=2, Find(5)=5, Add (2,5)=23 Succeeded, w=30\",\"Find(3)=3, Find(5)=2, Add (3,5)=24 Succeeded, w=54\",\"Find(1)=1, Find(3)=2, Add (1,3)=25 Succeeded, w=79\",\"Find(2)=1, Find(4)=4, Add (2,4)=26 Succeeded, w=105\",\"Find(4)=1, Find(5)=1, Add (4,5)=26 Failed, w=105\",\"Find(4)=1, Find(7)=1, Add (4,7)=28 Failed, w=105\",\"Find(0)=0, Find(4)=1, Add (0,4)=29 Succeeded, w=134\",\"Find(5)=1, Find(7)=1, Add (5,7)=29 Failed, w=134\",\"Find(0)=1, Find(2)=1, Add (0,2)=30 Failed, w=134\",\"Find(0)=1, Find(5)=1, Add (0,5)=30 Failed, w=134\",\"Find(0)=1, Find(7)=1, Add (0,7)=40 Failed, w=134\",\"Find(0)=1, Find(3)=1, Add (0,3)=50 Failed, w=134\",\"Find(0)=1, Find(1)=1, Add (0,1)=57 Failed, w=134\",\"Find(0)=1, Find(6)=6, Add (0,6)=61 Succeeded, w=195\",\"Find(3)=1, Find(6)=1, Add (3,6)=63 Failed, w=195\",\"Find(1)=1, Find(4)=1, Add (1,4)=67 Failed, w=195\",\"Find(3)=1, Find(4)=1, Add (3,4)=67 Failed, w=195\",\"Find(1)=1, Find(2)=1, Add (1,2)=71 Failed, w=195\",\"Find(3)=1, Find(7)=1, Add (3,7)=80 Failed, w=195\",\"Find(2)=1, Find(7)=1, Add (2,7)=83 Failed, w=195\",\"Find(5)=1, Find(6)=1, Add (5,6)=87 Failed, w=195\",\"Find(4)=1, Find(6)=1, Add (4,6)=93 Failed, w=195\",\"Find(1)=1, Find(5)=1, Add (1,5)=94 Failed, w=195\",\"Find(6)=1, Find(7)=1, Add (6,7)=95 Failed, w=195\",\"Find(1)=1, Find(6)=1, Add (1,6)=96 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\":[[0,1,57],[0,2,30],[0,3,50],[0,4,29],[0,5,30],[0,6,61],[0,7,40],[1,2,71],[1,3,25],[1,4,67],[1,5,94],[1,6,96],[1,7,7],[2,4,26],[2,5,23],[2,7,83],[3,4,67],[3,5,24],[3,6,63],[3,7,80],[4,5,26],[4,6,93],[4,7,28],[5,6,87],[5,7,29],[6,7,95]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,7)=7,(2,5)=23,(3,5)=24,(1,3)=25,(2,4)=26,(4,5)=26,(4,7)=28,(0,4)=29,(5,7)=29,(0,2)=30,(0,5)=30,(0,7)=40,(0,3)=50,(0,1)=57,(0,6)=61,(3,6)=63,(1,4)=67,(3,4)=67,(1,2)=71,(3,7)=80,(2,7)=83,(5,6)=87,(4,6)=93,(1,5)=94,(6,7)=95,(1,6)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 1}, Find(2)=2, Find(5)=5, Add (2,5)=23 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6, 7: 1}, Find(3)=3, Find(5)=2, Add (3,5)=24 Succeeded, w=54\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 2, 4: 4, 5: 2, 6: 6, 7: 1}, Find(1)=1, Find(3)=2, Add (1,3)=25 Succeeded, w=79\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 2, 4: 1, 5: 2, 6: 6, 7: 1}, Find(2)=1, Find(4)=4, Add (2,4)=26 Succeeded, w=105\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 6, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=26 Failed, w=105\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 6, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=28 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 6, 7: 1}, Find(0)=0, Find(4)=1, Add (0,4)=29 Succeeded, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 6, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=29 Failed, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 6, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=30 Failed, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 6, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=30 Failed, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 6, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=40 Failed, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=50 Failed, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=57 Failed, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=6, Add (0,6)=61 Succeeded, w=195\",\"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)=63 Failed, w=195\",\"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)=67 Failed, w=195\",\"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)=67 Failed, w=195\",\"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)=71 Failed, w=195\",\"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=195\",\"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)=83 Failed, w=195\",\"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)=87 Failed, w=195\",\"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)=93 Failed, w=195\",\"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)=94 Failed, w=195\",\"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)=95 Failed, w=195\",\"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)=96 Failed, w=195\"],\"Answer\":195}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,11],[0,2,77],[0,3,1],[0,4,40],[0,5,20],[1,2,23],[1,3,67],[1,4,77],[1,5,48],[2,4,47],[3,4,4],[3,5,26],[4,5,98]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,11],[0,2,77],[0,3,1],[0,4,40],[0,5,20],[1,2,23],[1,3,67],[1,4,77],[1,5,48],[2,4,47],[3,4,4],[3,5,26],[4,5,98]]}", "role": "user" }, { "content": "{\"Answer\":59}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,11],[0,2,77],[0,3,1],[0,4,40],[0,5,20],[1,2,23],[1,3,67],[1,4,77],[1,5,48],[2,4,47],[3,4,4],[3,5,26],[4,5,98]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (0,5)\",\"Add (1,2)\"],\"Answer\":59}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,11],[0,2,77],[0,3,1],[0,4,40],[0,5,20],[1,2,23],[1,3,67],[1,4,77],[1,5,48],[2,4,47],[3,4,4],[3,5,26],[4,5,98]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=1, w=1\",\"Add (3,4)=4, w=5\",\"Add (0,1)=11, w=16\",\"Add (0,5)=20, w=36\",\"Add (1,2)=23, w=59\"],\"Answer\":59}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,11],[0,2,77],[0,3,1],[0,4,40],[0,5,20],[1,2,23],[1,3,67],[1,4,77],[1,5,48],[2,4,47],[3,4,4],[3,5,26],[4,5,98]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=1 Succeeded, w=1\",\"Add (3,4)=4 Succeeded, w=5\",\"Add (0,1)=11 Succeeded, w=16\",\"Add (0,5)=20 Succeeded, w=36\",\"Add (1,2)=23 Succeeded, w=59\",\"Add (3,5)=26 Failed, w=59\",\"Add (0,4)=40 Failed, w=59\",\"Add (2,4)=47 Failed, w=59\",\"Add (1,5)=48 Failed, w=59\",\"Add (1,3)=67 Failed, w=59\",\"Add (0,2)=77 Failed, w=59\",\"Add (1,4)=77 Failed, w=59\",\"Add (4,5)=98 Failed, w=59\"],\"Answer\":59}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,11],[0,2,77],[0,3,1],[0,4,40],[0,5,20],[1,2,23],[1,3,67],[1,4,77],[1,5,48],[2,4,47],[3,4,4],[3,5,26],[4,5,98]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=1,(3,4)=4,(0,1)=11,(0,5)=20,(1,2)=23,(3,5)=26,(0,4)=40,(2,4)=47,(1,5)=48,(1,3)=67,(0,2)=77,(1,4)=77,(4,5)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Find(3)=0, Find(4)=4, Add (3,4)=4 Succeeded, w=5\",\"Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=16\",\"Find(0)=0, Find(5)=5, Add (0,5)=20 Succeeded, w=36\",\"Find(1)=0, Find(2)=2, Add (1,2)=23 Succeeded, w=59\",\"Find(3)=0, Find(5)=0, Add (3,5)=26 Failed, w=59\",\"Find(0)=0, Find(4)=0, Add (0,4)=40 Failed, w=59\",\"Find(2)=0, Find(4)=0, Add (2,4)=47 Failed, w=59\",\"Find(1)=0, Find(5)=0, Add (1,5)=48 Failed, w=59\",\"Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=59\",\"Find(0)=0, Find(2)=0, Add (0,2)=77 Failed, w=59\",\"Find(1)=0, Find(4)=0, Add (1,4)=77 Failed, w=59\",\"Find(4)=0, Find(5)=0, Add (4,5)=98 Failed, w=59\"],\"Answer\":59}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,11],[0,2,77],[0,3,1],[0,4,40],[0,5,20],[1,2,23],[1,3,67],[1,4,77],[1,5,48],[2,4,47],[3,4,4],[3,5,26],[4,5,98]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=1,(3,4)=4,(0,1)=11,(0,5)=20,(1,2)=23,(3,5)=26,(0,4)=40,(2,4)=47,(1,5)=48,(1,3)=67,(0,2)=77,(1,4)=77,(4,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5}, Find(3)=0, Find(4)=4, Add (3,4)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=20 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=2, Add (1,2)=23 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=26 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=40 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=47 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=48 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=77 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=77 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=98 Failed, w=59\"],\"Answer\":59}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,71],[0,3,52],[0,4,87],[0,5,71],[0,6,98],[1,2,57],[1,3,4],[1,4,16],[1,5,57],[1,6,95],[2,3,27],[2,4,47],[2,5,18],[2,6,84],[3,4,75],[3,5,88],[3,6,54],[4,5,57],[4,6,22],[5,6,52]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,71],[0,3,52],[0,4,87],[0,5,71],[0,6,98],[1,2,57],[1,3,4],[1,4,16],[1,5,57],[1,6,95],[2,3,27],[2,4,47],[2,5,18],[2,6,84],[3,4,75],[3,5,88],[3,6,54],[4,5,57],[4,6,22],[5,6,52]]}", "role": "user" }, { "content": "{\"Answer\":139}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,71],[0,3,52],[0,4,87],[0,5,71],[0,6,98],[1,2,57],[1,3,4],[1,4,16],[1,5,57],[1,6,95],[2,3,27],[2,4,47],[2,5,18],[2,6,84],[3,4,75],[3,5,88],[3,6,54],[4,5,57],[4,6,22],[5,6,52]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (1,4)\",\"Add (2,5)\",\"Add (4,6)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":139}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,71],[0,3,52],[0,4,87],[0,5,71],[0,6,98],[1,2,57],[1,3,4],[1,4,16],[1,5,57],[1,6,95],[2,3,27],[2,4,47],[2,5,18],[2,6,84],[3,4,75],[3,5,88],[3,6,54],[4,5,57],[4,6,22],[5,6,52]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=4, w=4\",\"Add (1,4)=16, w=20\",\"Add (2,5)=18, w=38\",\"Add (4,6)=22, w=60\",\"Add (2,3)=27, w=87\",\"Add (0,3)=52, w=139\"],\"Answer\":139}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,71],[0,3,52],[0,4,87],[0,5,71],[0,6,98],[1,2,57],[1,3,4],[1,4,16],[1,5,57],[1,6,95],[2,3,27],[2,4,47],[2,5,18],[2,6,84],[3,4,75],[3,5,88],[3,6,54],[4,5,57],[4,6,22],[5,6,52]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=4 Succeeded, w=4\",\"Add (1,4)=16 Succeeded, w=20\",\"Add (2,5)=18 Succeeded, w=38\",\"Add (4,6)=22 Succeeded, w=60\",\"Add (2,3)=27 Succeeded, w=87\",\"Add (2,4)=47 Failed, w=87\",\"Add (0,3)=52 Succeeded, w=139\",\"Add (5,6)=52 Failed, w=139\",\"Add (3,6)=54 Failed, w=139\",\"Add (1,2)=57 Failed, w=139\",\"Add (1,5)=57 Failed, w=139\",\"Add (4,5)=57 Failed, w=139\",\"Add (0,2)=71 Failed, w=139\",\"Add (0,5)=71 Failed, w=139\",\"Add (3,4)=75 Failed, w=139\",\"Add (2,6)=84 Failed, w=139\",\"Add (0,4)=87 Failed, w=139\",\"Add (3,5)=88 Failed, w=139\",\"Add (1,6)=95 Failed, w=139\",\"Add (0,6)=98 Failed, w=139\"],\"Answer\":139}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,71],[0,3,52],[0,4,87],[0,5,71],[0,6,98],[1,2,57],[1,3,4],[1,4,16],[1,5,57],[1,6,95],[2,3,27],[2,4,47],[2,5,18],[2,6,84],[3,4,75],[3,5,88],[3,6,54],[4,5,57],[4,6,22],[5,6,52]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=4,(1,4)=16,(2,5)=18,(4,6)=22,(2,3)=27,(2,4)=47,(0,3)=52,(5,6)=52,(3,6)=54,(1,2)=57,(1,5)=57,(4,5)=57,(0,2)=71,(0,5)=71,(3,4)=75,(2,6)=84,(0,4)=87,(3,5)=88,(1,6)=95,(0,6)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=20\",\"Find(2)=2, Find(5)=5, Add (2,5)=18 Succeeded, w=38\",\"Find(4)=1, Find(6)=6, Add (4,6)=22 Succeeded, w=60\",\"Find(2)=2, Find(3)=1, Add (2,3)=27 Succeeded, w=87\",\"Find(2)=2, Find(4)=2, Add (2,4)=47 Failed, w=87\",\"Find(0)=0, Find(3)=2, Add (0,3)=52 Succeeded, w=139\",\"Find(5)=2, Find(6)=2, Add (5,6)=52 Failed, w=139\",\"Find(3)=2, Find(6)=2, Add (3,6)=54 Failed, w=139\",\"Find(1)=2, Find(2)=2, Add (1,2)=57 Failed, w=139\",\"Find(1)=2, Find(5)=2, Add (1,5)=57 Failed, w=139\",\"Find(4)=2, Find(5)=2, Add (4,5)=57 Failed, w=139\",\"Find(0)=2, Find(2)=2, Add (0,2)=71 Failed, w=139\",\"Find(0)=2, Find(5)=2, Add (0,5)=71 Failed, w=139\",\"Find(3)=2, Find(4)=2, Add (3,4)=75 Failed, w=139\",\"Find(2)=2, Find(6)=2, Add (2,6)=84 Failed, w=139\",\"Find(0)=2, Find(4)=2, Add (0,4)=87 Failed, w=139\",\"Find(3)=2, Find(5)=2, Add (3,5)=88 Failed, w=139\",\"Find(1)=2, Find(6)=2, Add (1,6)=95 Failed, w=139\",\"Find(0)=2, Find(6)=2, Add (0,6)=98 Failed, w=139\"],\"Answer\":139}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,71],[0,3,52],[0,4,87],[0,5,71],[0,6,98],[1,2,57],[1,3,4],[1,4,16],[1,5,57],[1,6,95],[2,3,27],[2,4,47],[2,5,18],[2,6,84],[3,4,75],[3,5,88],[3,6,54],[4,5,57],[4,6,22],[5,6,52]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=4,(1,4)=16,(2,5)=18,(4,6)=22,(2,3)=27,(2,4)=47,(0,3)=52,(5,6)=52,(3,6)=54,(1,2)=57,(1,5)=57,(4,5)=57,(0,2)=71,(0,5)=71,(3,4)=75,(2,6)=84,(0,4)=87,(3,5)=88,(1,6)=95,(0,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=18 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 1}, Find(4)=1, Find(6)=6, Add (4,6)=22 Succeeded, w=60\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 1, 5: 2, 6: 1}, Find(2)=2, Find(3)=1, Add (2,3)=27 Succeeded, w=87\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 1}, Find(2)=2, Find(4)=2, Add (2,4)=47 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1}, Find(0)=0, Find(3)=2, Add (0,3)=52 Succeeded, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=52 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=54 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=57 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=57 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=57 Failed, w=139\",\"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=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=71 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=75 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=84 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=87 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=88 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=95 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=98 Failed, w=139\"],\"Answer\":139}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,35],[0,3,96],[0,4,29],[0,5,2],[1,2,11],[1,5,96],[2,3,49],[2,4,55],[2,5,41],[3,4,12],[3,5,90],[4,5,57]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,3,96],[0,4,29],[0,5,2],[1,2,11],[1,5,96],[2,3,49],[2,4,55],[2,5,41],[3,4,12],[3,5,90],[4,5,57]]}", "role": "user" }, { "content": "{\"Answer\":89}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,3,96],[0,4,29],[0,5,2],[1,2,11],[1,5,96],[2,3,49],[2,4,55],[2,5,41],[3,4,12],[3,5,90],[4,5,57]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (0,1)\"],\"Answer\":89}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,3,96],[0,4,29],[0,5,2],[1,2,11],[1,5,96],[2,3,49],[2,4,55],[2,5,41],[3,4,12],[3,5,90],[4,5,57]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)=2, w=2\",\"Add (1,2)=11, w=13\",\"Add (3,4)=12, w=25\",\"Add (0,4)=29, w=54\",\"Add (0,1)=35, w=89\"],\"Answer\":89}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,3,96],[0,4,29],[0,5,2],[1,2,11],[1,5,96],[2,3,49],[2,4,55],[2,5,41],[3,4,12],[3,5,90],[4,5,57]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)=2 Succeeded, w=2\",\"Add (1,2)=11 Succeeded, w=13\",\"Add (3,4)=12 Succeeded, w=25\",\"Add (0,4)=29 Succeeded, w=54\",\"Add (0,1)=35 Succeeded, w=89\",\"Add (2,5)=41 Failed, w=89\",\"Add (2,3)=49 Failed, w=89\",\"Add (2,4)=55 Failed, w=89\",\"Add (4,5)=57 Failed, w=89\",\"Add (3,5)=90 Failed, w=89\",\"Add (0,3)=96 Failed, w=89\",\"Add (1,5)=96 Failed, w=89\"],\"Answer\":89}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,3,96],[0,4,29],[0,5,2],[1,2,11],[1,5,96],[2,3,49],[2,4,55],[2,5,41],[3,4,12],[3,5,90],[4,5,57]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,5)=2,(1,2)=11,(3,4)=12,(0,4)=29,(0,1)=35,(2,5)=41,(2,3)=49,(2,4)=55,(4,5)=57,(3,5)=90,(0,3)=96,(1,5)=96]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=2\",\"Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=13\",\"Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=25\",\"Find(0)=0, Find(4)=3, Add (0,4)=29 Succeeded, w=54\",\"Find(0)=0, Find(1)=1, Add (0,1)=35 Succeeded, w=89\",\"Find(2)=0, Find(5)=0, Add (2,5)=41 Failed, w=89\",\"Find(2)=0, Find(3)=0, Add (2,3)=49 Failed, w=89\",\"Find(2)=0, Find(4)=0, Add (2,4)=55 Failed, w=89\",\"Find(4)=0, Find(5)=0, Add (4,5)=57 Failed, w=89\",\"Find(3)=0, Find(5)=0, Add (3,5)=90 Failed, w=89\",\"Find(0)=0, Find(3)=0, Add (0,3)=96 Failed, w=89\",\"Find(1)=0, Find(5)=0, Add (1,5)=96 Failed, w=89\"],\"Answer\":89}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,3,96],[0,4,29],[0,5,2],[1,2,11],[1,5,96],[2,3,49],[2,4,55],[2,5,41],[3,4,12],[3,5,90],[4,5,57]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,5)=2,(1,2)=11,(3,4)=12,(0,4)=29,(0,1)=35,(2,5)=41,(2,3)=49,(2,4)=55,(4,5)=57,(3,5)=90,(0,3)=96,(1,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 0}, Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 0}, Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(4)=3, Add (0,4)=29 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(1)=1, Add (0,1)=35 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=41 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=49 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=55 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=57 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=90 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=96 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=96 Failed, w=89\"],\"Answer\":89}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,39],[0,2,73],[0,3,87],[0,4,26],[0,5,74],[0,6,95],[1,2,13],[1,3,0],[1,4,26],[1,5,16],[1,6,30],[2,3,68],[2,4,65],[2,5,40],[2,6,69],[3,4,97],[3,5,94],[3,6,14],[4,5,31],[4,6,90],[5,6,28]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,73],[0,3,87],[0,4,26],[0,5,74],[0,6,95],[1,2,13],[1,3,0],[1,4,26],[1,5,16],[1,6,30],[2,3,68],[2,4,65],[2,5,40],[2,6,69],[3,4,97],[3,5,94],[3,6,14],[4,5,31],[4,6,90],[5,6,28]]}", "role": "user" }, { "content": "{\"Answer\":95}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,73],[0,3,87],[0,4,26],[0,5,74],[0,6,95],[1,2,13],[1,3,0],[1,4,26],[1,5,16],[1,6,30],[2,3,68],[2,4,65],[2,5,40],[2,6,69],[3,4,97],[3,5,94],[3,6,14],[4,5,31],[4,6,90],[5,6,28]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (3,6)\",\"Add (1,5)\",\"Add (0,4)\",\"Add (1,4)\"],\"Answer\":95}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,73],[0,3,87],[0,4,26],[0,5,74],[0,6,95],[1,2,13],[1,3,0],[1,4,26],[1,5,16],[1,6,30],[2,3,68],[2,4,65],[2,5,40],[2,6,69],[3,4,97],[3,5,94],[3,6,14],[4,5,31],[4,6,90],[5,6,28]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (1,2)=13, w=13\",\"Add (3,6)=14, w=27\",\"Add (1,5)=16, w=43\",\"Add (0,4)=26, w=69\",\"Add (1,4)=26, w=95\"],\"Answer\":95}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,73],[0,3,87],[0,4,26],[0,5,74],[0,6,95],[1,2,13],[1,3,0],[1,4,26],[1,5,16],[1,6,30],[2,3,68],[2,4,65],[2,5,40],[2,6,69],[3,4,97],[3,5,94],[3,6,14],[4,5,31],[4,6,90],[5,6,28]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (1,2)=13 Succeeded, w=13\",\"Add (3,6)=14 Succeeded, w=27\",\"Add (1,5)=16 Succeeded, w=43\",\"Add (0,4)=26 Succeeded, w=69\",\"Add (1,4)=26 Succeeded, w=95\",\"Add (5,6)=28 Failed, w=95\",\"Add (1,6)=30 Failed, w=95\",\"Add (4,5)=31 Failed, w=95\",\"Add (0,1)=39 Failed, w=95\",\"Add (2,5)=40 Failed, w=95\",\"Add (2,4)=65 Failed, w=95\",\"Add (2,3)=68 Failed, w=95\",\"Add (2,6)=69 Failed, w=95\",\"Add (0,2)=73 Failed, w=95\",\"Add (0,5)=74 Failed, w=95\",\"Add (0,3)=87 Failed, w=95\",\"Add (4,6)=90 Failed, w=95\",\"Add (3,5)=94 Failed, w=95\",\"Add (0,6)=95 Failed, w=95\",\"Add (3,4)=97 Failed, w=95\"],\"Answer\":95}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,73],[0,3,87],[0,4,26],[0,5,74],[0,6,95],[1,2,13],[1,3,0],[1,4,26],[1,5,16],[1,6,30],[2,3,68],[2,4,65],[2,5,40],[2,6,69],[3,4,97],[3,5,94],[3,6,14],[4,5,31],[4,6,90],[5,6,28]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=0,(1,2)=13,(3,6)=14,(1,5)=16,(0,4)=26,(1,4)=26,(5,6)=28,(1,6)=30,(4,5)=31,(0,1)=39,(2,5)=40,(2,4)=65,(2,3)=68,(2,6)=69,(0,2)=73,(0,5)=74,(0,3)=87,(4,6)=90,(3,5)=94,(0,6)=95,(3,4)=97]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=13\",\"Find(3)=1, Find(6)=6, Add (3,6)=14 Succeeded, w=27\",\"Find(1)=1, Find(5)=5, Add (1,5)=16 Succeeded, w=43\",\"Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=69\",\"Find(1)=1, Find(4)=0, Add (1,4)=26 Succeeded, w=95\",\"Find(5)=1, Find(6)=1, Add (5,6)=28 Failed, w=95\",\"Find(1)=1, Find(6)=1, Add (1,6)=30 Failed, w=95\",\"Find(4)=1, Find(5)=1, Add (4,5)=31 Failed, w=95\",\"Find(0)=1, Find(1)=1, Add (0,1)=39 Failed, w=95\",\"Find(2)=1, Find(5)=1, Add (2,5)=40 Failed, w=95\",\"Find(2)=1, Find(4)=1, Add (2,4)=65 Failed, w=95\",\"Find(2)=1, Find(3)=1, Add (2,3)=68 Failed, w=95\",\"Find(2)=1, Find(6)=1, Add (2,6)=69 Failed, w=95\",\"Find(0)=1, Find(2)=1, Add (0,2)=73 Failed, w=95\",\"Find(0)=1, Find(5)=1, Add (0,5)=74 Failed, w=95\",\"Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=95\",\"Find(4)=1, Find(6)=1, Add (4,6)=90 Failed, w=95\",\"Find(3)=1, Find(5)=1, Add (3,5)=94 Failed, w=95\",\"Find(0)=1, Find(6)=1, Add (0,6)=95 Failed, w=95\",\"Find(3)=1, Find(4)=1, Add (3,4)=97 Failed, w=95\"],\"Answer\":95}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,73],[0,3,87],[0,4,26],[0,5,74],[0,6,95],[1,2,13],[1,3,0],[1,4,26],[1,5,16],[1,6,30],[2,3,68],[2,4,65],[2,5,40],[2,6,69],[3,4,97],[3,5,94],[3,6,14],[4,5,31],[4,6,90],[5,6,28]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=0,(1,2)=13,(3,6)=14,(1,5)=16,(0,4)=26,(1,4)=26,(5,6)=28,(1,6)=30,(4,5)=31,(0,1)=39,(2,5)=40,(2,4)=65,(2,3)=68,(2,6)=69,(0,2)=73,(0,5)=74,(0,3)=87,(4,6)=90,(3,5)=94,(0,6)=95,(3,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 1}, Find(3)=1, Find(6)=6, Add (3,6)=14 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(1)=1, Find(5)=5, Add (1,5)=16 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(1)=1, Find(4)=0, Add (1,4)=26 Succeeded, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=28 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=30 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=31 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=39 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=40 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=65 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=68 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=69 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=73 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=74 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=90 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=94 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=95 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=97 Failed, w=95\"],\"Answer\":95}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,50],[0,3,28],[0,4,47],[1,2,67],[1,3,37],[1,4,45],[2,3,82],[2,4,33]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,50],[0,3,28],[0,4,47],[1,2,67],[1,3,37],[1,4,45],[2,3,82],[2,4,33]]}", "role": "user" }, { "content": "{\"Answer\":143}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,50],[0,3,28],[0,4,47],[1,2,67],[1,3,37],[1,4,45],[2,3,82],[2,4,33]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (1,4)\"],\"Answer\":143}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,50],[0,3,28],[0,4,47],[1,2,67],[1,3,37],[1,4,45],[2,3,82],[2,4,33]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=28, w=28\",\"Add (2,4)=33, w=61\",\"Add (1,3)=37, w=98\",\"Add (1,4)=45, w=143\"],\"Answer\":143}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,50],[0,3,28],[0,4,47],[1,2,67],[1,3,37],[1,4,45],[2,3,82],[2,4,33]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=28 Succeeded, w=28\",\"Add (2,4)=33 Succeeded, w=61\",\"Add (1,3)=37 Succeeded, w=98\",\"Add (1,4)=45 Succeeded, w=143\",\"Add (0,4)=47 Failed, w=143\",\"Add (0,2)=50 Failed, w=143\",\"Add (1,2)=67 Failed, w=143\",\"Add (2,3)=82 Failed, w=143\"],\"Answer\":143}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,50],[0,3,28],[0,4,47],[1,2,67],[1,3,37],[1,4,45],[2,3,82],[2,4,33]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=28,(2,4)=33,(1,3)=37,(1,4)=45,(0,4)=47,(0,2)=50,(1,2)=67,(2,3)=82]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=28 Succeeded, w=28\",\"Find(2)=2, Find(4)=4, Add (2,4)=33 Succeeded, w=61\",\"Find(1)=1, Find(3)=0, Add (1,3)=37 Succeeded, w=98\",\"Find(1)=0, Find(4)=2, Add (1,4)=45 Succeeded, w=143\",\"Find(0)=0, Find(4)=0, Add (0,4)=47 Failed, w=143\",\"Find(0)=0, Find(2)=0, Add (0,2)=50 Failed, w=143\",\"Find(1)=0, Find(2)=0, Add (1,2)=67 Failed, w=143\",\"Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=143\"],\"Answer\":143}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,50],[0,3,28],[0,4,47],[1,2,67],[1,3,37],[1,4,45],[2,3,82],[2,4,33]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=28,(2,4)=33,(1,3)=37,(1,4)=45,(0,4)=47,(0,2)=50,(1,2)=67,(2,3)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=28 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=33 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2}, Find(1)=1, Find(3)=0, Add (1,3)=37 Succeeded, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(4)=2, Add (1,4)=45 Succeeded, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=47 Failed, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=50 Failed, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=67 Failed, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=143\"],\"Answer\":143}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[1,3,10],[1,4,83],[2,3,100]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,3,10],[1,4,83],[2,3,100]]}", "role": "user" }, { "content": "{\"Answer\":193}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,3,10],[1,4,83],[2,3,100]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (1,4)\",\"Add (2,3)\"],\"Answer\":193}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,3,10],[1,4,83],[2,3,100]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=10, w=10\",\"Add (1,4)=83, w=93\",\"Add (2,3)=100, w=193\"],\"Answer\":193}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,3,10],[1,4,83],[2,3,100]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=10 Succeeded, w=10\",\"Add (1,4)=83 Succeeded, w=93\",\"Add (2,3)=100 Succeeded, w=193\"],\"Answer\":193}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,3,10],[1,4,83],[2,3,100]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=10,(1,4)=83,(2,3)=100]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=10\",\"Find(1)=1, Find(4)=4, Add (1,4)=83 Succeeded, w=93\",\"Find(2)=2, Find(3)=1, Add (2,3)=100 Succeeded, w=193\"],\"Answer\":193}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,3,10],[1,4,83],[2,3,100]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=10,(1,4)=83,(2,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=83 Succeeded, w=93\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(3)=1, Add (2,3)=100 Succeeded, w=193\"],\"Answer\":193}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,97],[0,2,63],[0,3,4],[0,5,3],[0,6,80],[1,2,89],[1,4,80],[1,5,24],[2,4,33],[2,6,61],[2,7,71],[3,4,40],[3,5,17],[3,7,54],[5,6,88],[5,7,88],[6,7,27]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,2,63],[0,3,4],[0,5,3],[0,6,80],[1,2,89],[1,4,80],[1,5,24],[2,4,33],[2,6,61],[2,7,71],[3,4,40],[3,5,17],[3,7,54],[5,6,88],[5,7,88],[6,7,27]]}", "role": "user" }, { "content": "{\"Answer\":185}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,2,63],[0,3,4],[0,5,3],[0,6,80],[1,2,89],[1,4,80],[1,5,24],[2,4,33],[2,6,61],[2,7,71],[3,4,40],[3,5,17],[3,7,54],[5,6,88],[5,7,88],[6,7,27]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)\",\"Add (0,3)\",\"Add (1,5)\",\"Add (6,7)\",\"Add (2,4)\",\"Add (3,4)\",\"Add (3,7)\"],\"Answer\":185}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,2,63],[0,3,4],[0,5,3],[0,6,80],[1,2,89],[1,4,80],[1,5,24],[2,4,33],[2,6,61],[2,7,71],[3,4,40],[3,5,17],[3,7,54],[5,6,88],[5,7,88],[6,7,27]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)=3, w=3\",\"Add (0,3)=4, w=7\",\"Add (1,5)=24, w=31\",\"Add (6,7)=27, w=58\",\"Add (2,4)=33, w=91\",\"Add (3,4)=40, w=131\",\"Add (3,7)=54, w=185\"],\"Answer\":185}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,2,63],[0,3,4],[0,5,3],[0,6,80],[1,2,89],[1,4,80],[1,5,24],[2,4,33],[2,6,61],[2,7,71],[3,4,40],[3,5,17],[3,7,54],[5,6,88],[5,7,88],[6,7,27]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)=3 Succeeded, w=3\",\"Add (0,3)=4 Succeeded, w=7\",\"Add (3,5)=17 Failed, w=7\",\"Add (1,5)=24 Succeeded, w=31\",\"Add (6,7)=27 Succeeded, w=58\",\"Add (2,4)=33 Succeeded, w=91\",\"Add (3,4)=40 Succeeded, w=131\",\"Add (3,7)=54 Succeeded, w=185\",\"Add (2,6)=61 Failed, w=185\",\"Add (0,2)=63 Failed, w=185\",\"Add (2,7)=71 Failed, w=185\",\"Add (0,6)=80 Failed, w=185\",\"Add (1,4)=80 Failed, w=185\",\"Add (5,6)=88 Failed, w=185\",\"Add (5,7)=88 Failed, w=185\",\"Add (1,2)=89 Failed, w=185\",\"Add (0,1)=97 Failed, w=185\"],\"Answer\":185}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,2,63],[0,3,4],[0,5,3],[0,6,80],[1,2,89],[1,4,80],[1,5,24],[2,4,33],[2,6,61],[2,7,71],[3,4,40],[3,5,17],[3,7,54],[5,6,88],[5,7,88],[6,7,27]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,5)=3,(0,3)=4,(3,5)=17,(1,5)=24,(6,7)=27,(2,4)=33,(3,4)=40,(3,7)=54,(2,6)=61,(0,2)=63,(2,7)=71,(0,6)=80,(1,4)=80,(5,6)=88,(5,7)=88,(1,2)=89,(0,1)=97]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=7\",\"Find(3)=0, Find(5)=0, Add (3,5)=17 Failed, w=7\",\"Find(1)=1, Find(5)=0, Add (1,5)=24 Succeeded, w=31\",\"Find(6)=6, Find(7)=7, Add (6,7)=27 Succeeded, w=58\",\"Find(2)=2, Find(4)=4, Add (2,4)=33 Succeeded, w=91\",\"Find(3)=0, Find(4)=2, Add (3,4)=40 Succeeded, w=131\",\"Find(3)=0, Find(7)=6, Add (3,7)=54 Succeeded, w=185\",\"Find(2)=0, Find(6)=0, Add (2,6)=61 Failed, w=185\",\"Find(0)=0, Find(2)=0, Add (0,2)=63 Failed, w=185\",\"Find(2)=0, Find(7)=0, Add (2,7)=71 Failed, w=185\",\"Find(0)=0, Find(6)=0, Add (0,6)=80 Failed, w=185\",\"Find(1)=0, Find(4)=0, Add (1,4)=80 Failed, w=185\",\"Find(5)=0, Find(6)=0, Add (5,6)=88 Failed, w=185\",\"Find(5)=0, Find(7)=0, Add (5,7)=88 Failed, w=185\",\"Find(1)=0, Find(2)=0, Add (1,2)=89 Failed, w=185\",\"Find(0)=0, Find(1)=0, Add (0,1)=97 Failed, w=185\"],\"Answer\":185}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,2,63],[0,3,4],[0,5,3],[0,6,80],[1,2,89],[1,4,80],[1,5,24],[2,4,33],[2,6,61],[2,7,71],[3,4,40],[3,5,17],[3,7,54],[5,6,88],[5,7,88],[6,7,27]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,5)=3,(0,3)=4,(3,5)=17,(1,5)=24,(6,7)=27,(2,4)=33,(3,4)=40,(3,7)=54,(2,6)=61,(0,2)=63,(2,7)=71,(0,6)=80,(1,4)=80,(5,6)=88,(5,7)=88,(1,2)=89,(0,1)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6, 7: 7}, Find(3)=0, Find(5)=0, Add (3,5)=17 Failed, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6, 7: 7}, Find(1)=1, Find(5)=0, Add (1,5)=24 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=27 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 0, 6: 6, 7: 6}, Find(2)=2, Find(4)=4, Add (2,4)=33 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 6, 7: 6}, Find(3)=0, Find(4)=2, Add (3,4)=40 Succeeded, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 6}, Find(3)=0, Find(7)=6, Add (3,7)=54 Succeeded, w=185\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 6}, Find(2)=0, Find(6)=0, Add (2,6)=61 Failed, w=185\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 6}, Find(0)=0, Find(2)=0, Add (0,2)=63 Failed, w=185\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=71 Failed, w=185\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=80 Failed, w=185\",\"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)=80 Failed, w=185\",\"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)=88 Failed, w=185\",\"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)=88 Failed, w=185\",\"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)=89 Failed, w=185\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=97 Failed, w=185\"],\"Answer\":185}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,72],[0,2,14],[0,3,74],[0,4,99],[0,5,38],[1,2,55],[1,3,8],[1,4,24],[1,5,96],[2,3,30],[2,4,4],[2,5,89],[3,4,5],[3,5,67],[4,5,96]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,14],[0,3,74],[0,4,99],[0,5,38],[1,2,55],[1,3,8],[1,4,24],[1,5,96],[2,3,30],[2,4,4],[2,5,89],[3,4,5],[3,5,67],[4,5,96]]}", "role": "user" }, { "content": "{\"Answer\":69}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,14],[0,3,74],[0,4,99],[0,5,38],[1,2,55],[1,3,8],[1,4,24],[1,5,96],[2,3,30],[2,4,4],[2,5,89],[3,4,5],[3,5,67],[4,5,96]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)\",\"Add (3,4)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (0,5)\"],\"Answer\":69}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,14],[0,3,74],[0,4,99],[0,5,38],[1,2,55],[1,3,8],[1,4,24],[1,5,96],[2,3,30],[2,4,4],[2,5,89],[3,4,5],[3,5,67],[4,5,96]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=4, w=4\",\"Add (3,4)=5, w=9\",\"Add (1,3)=8, w=17\",\"Add (0,2)=14, w=31\",\"Add (0,5)=38, w=69\"],\"Answer\":69}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,14],[0,3,74],[0,4,99],[0,5,38],[1,2,55],[1,3,8],[1,4,24],[1,5,96],[2,3,30],[2,4,4],[2,5,89],[3,4,5],[3,5,67],[4,5,96]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=4 Succeeded, w=4\",\"Add (3,4)=5 Succeeded, w=9\",\"Add (1,3)=8 Succeeded, w=17\",\"Add (0,2)=14 Succeeded, w=31\",\"Add (1,4)=24 Failed, w=31\",\"Add (2,3)=30 Failed, w=31\",\"Add (0,5)=38 Succeeded, w=69\",\"Add (1,2)=55 Failed, w=69\",\"Add (3,5)=67 Failed, w=69\",\"Add (0,1)=72 Failed, w=69\",\"Add (0,3)=74 Failed, w=69\",\"Add (2,5)=89 Failed, w=69\",\"Add (1,5)=96 Failed, w=69\",\"Add (4,5)=96 Failed, w=69\",\"Add (0,4)=99 Failed, w=69\"],\"Answer\":69}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,14],[0,3,74],[0,4,99],[0,5,38],[1,2,55],[1,3,8],[1,4,24],[1,5,96],[2,3,30],[2,4,4],[2,5,89],[3,4,5],[3,5,67],[4,5,96]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=4,(3,4)=5,(1,3)=8,(0,2)=14,(1,4)=24,(2,3)=30,(0,5)=38,(1,2)=55,(3,5)=67,(0,1)=72,(0,3)=74,(2,5)=89,(1,5)=96,(4,5)=96,(0,4)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Find(3)=3, Find(4)=2, Add (3,4)=5 Succeeded, w=9\",\"Find(1)=1, Find(3)=2, Add (1,3)=8 Succeeded, w=17\",\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=31\",\"Find(1)=2, Find(4)=2, Add (1,4)=24 Failed, w=31\",\"Find(2)=2, Find(3)=2, Add (2,3)=30 Failed, w=31\",\"Find(0)=2, Find(5)=5, Add (0,5)=38 Succeeded, w=69\",\"Find(1)=2, Find(2)=2, Add (1,2)=55 Failed, w=69\",\"Find(3)=2, Find(5)=2, Add (3,5)=67 Failed, w=69\",\"Find(0)=2, Find(1)=2, Add (0,1)=72 Failed, w=69\",\"Find(0)=2, Find(3)=2, Add (0,3)=74 Failed, w=69\",\"Find(2)=2, Find(5)=2, Add (2,5)=89 Failed, w=69\",\"Find(1)=2, Find(5)=2, Add (1,5)=96 Failed, w=69\",\"Find(4)=2, Find(5)=2, Add (4,5)=96 Failed, w=69\",\"Find(0)=2, Find(4)=2, Add (0,4)=99 Failed, w=69\"],\"Answer\":69}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,14],[0,3,74],[0,4,99],[0,5,38],[1,2,55],[1,3,8],[1,4,24],[1,5,96],[2,3,30],[2,4,4],[2,5,89],[3,4,5],[3,5,67],[4,5,96]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=4,(3,4)=5,(1,3)=8,(0,2)=14,(1,4)=24,(2,3)=30,(0,5)=38,(1,2)=55,(3,5)=67,(0,1)=72,(0,3)=74,(2,5)=89,(1,5)=96,(4,5)=96,(0,4)=99]\",\"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: 2, 4: 2, 5: 5}, Find(3)=3, Find(4)=2, Add (3,4)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5}, Find(1)=1, Find(3)=2, Add (1,3)=8 Succeeded, w=17\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=31\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5}, Find(1)=2, Find(4)=2, Add (1,4)=24 Failed, w=31\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5}, Find(2)=2, Find(3)=2, Add (2,3)=30 Failed, w=31\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=5, Add (0,5)=38 Succeeded, w=69\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=55 Failed, w=69\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=67 Failed, w=69\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=72 Failed, w=69\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=74 Failed, w=69\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=89 Failed, w=69\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=96 Failed, w=69\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=96 Failed, w=69\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=99 Failed, w=69\"],\"Answer\":69}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,4,28],[0,5,74],[1,2,43],[1,3,70],[1,4,18],[2,3,40],[2,5,97],[2,6,40],[3,7,2],[4,5,32],[4,7,76],[5,7,61],[6,7,0]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,28],[0,5,74],[1,2,43],[1,3,70],[1,4,18],[2,3,40],[2,5,97],[2,6,40],[3,7,2],[4,5,32],[4,7,76],[5,7,61],[6,7,0]]}", "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\":[[0,4,28],[0,5,74],[1,2,43],[1,3,70],[1,4,18],[2,3,40],[2,5,97],[2,6,40],[3,7,2],[4,5,32],[4,7,76],[5,7,61],[6,7,0]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (6,7)\",\"Add (3,7)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (4,5)\",\"Add (2,3)\",\"Add (1,2)\"],\"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\":[[0,4,28],[0,5,74],[1,2,43],[1,3,70],[1,4,18],[2,3,40],[2,5,97],[2,6,40],[3,7,2],[4,5,32],[4,7,76],[5,7,61],[6,7,0]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (6,7)=0, w=0\",\"Add (3,7)=2, w=2\",\"Add (1,4)=18, w=20\",\"Add (0,4)=28, w=48\",\"Add (4,5)=32, w=80\",\"Add (2,3)=40, w=120\",\"Add (1,2)=43, 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\":[[0,4,28],[0,5,74],[1,2,43],[1,3,70],[1,4,18],[2,3,40],[2,5,97],[2,6,40],[3,7,2],[4,5,32],[4,7,76],[5,7,61],[6,7,0]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (6,7)=0 Succeeded, w=0\",\"Add (3,7)=2 Succeeded, w=2\",\"Add (1,4)=18 Succeeded, w=20\",\"Add (0,4)=28 Succeeded, w=48\",\"Add (4,5)=32 Succeeded, w=80\",\"Add (2,3)=40 Succeeded, w=120\",\"Add (2,6)=40 Failed, w=120\",\"Add (1,2)=43 Succeeded, w=163\",\"Add (5,7)=61 Failed, w=163\",\"Add (1,3)=70 Failed, w=163\",\"Add (0,5)=74 Failed, w=163\",\"Add (4,7)=76 Failed, w=163\",\"Add (2,5)=97 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\":[[0,4,28],[0,5,74],[1,2,43],[1,3,70],[1,4,18],[2,3,40],[2,5,97],[2,6,40],[3,7,2],[4,5,32],[4,7,76],[5,7,61],[6,7,0]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(6,7)=0,(3,7)=2,(1,4)=18,(0,4)=28,(4,5)=32,(2,3)=40,(2,6)=40,(1,2)=43,(5,7)=61,(1,3)=70,(0,5)=74,(4,7)=76,(2,5)=97]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=0 Succeeded, w=0\",\"Find(3)=3, Find(7)=6, Add (3,7)=2 Succeeded, w=2\",\"Find(1)=1, Find(4)=4, Add (1,4)=18 Succeeded, w=20\",\"Find(0)=0, Find(4)=1, Add (0,4)=28 Succeeded, w=48\",\"Find(4)=1, Find(5)=5, Add (4,5)=32 Succeeded, w=80\",\"Find(2)=2, Find(3)=6, Add (2,3)=40 Succeeded, w=120\",\"Find(2)=6, Find(6)=6, Add (2,6)=40 Failed, w=120\",\"Find(1)=1, Find(2)=6, Add (1,2)=43 Succeeded, w=163\",\"Find(5)=1, Find(7)=1, Add (5,7)=61 Failed, w=163\",\"Find(1)=1, Find(3)=1, Add (1,3)=70 Failed, w=163\",\"Find(0)=1, Find(5)=1, Add (0,5)=74 Failed, w=163\",\"Find(4)=1, Find(7)=1, Add (4,7)=76 Failed, w=163\",\"Find(2)=1, Find(5)=1, Add (2,5)=97 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\":[[0,4,28],[0,5,74],[1,2,43],[1,3,70],[1,4,18],[2,3,40],[2,5,97],[2,6,40],[3,7,2],[4,5,32],[4,7,76],[5,7,61],[6,7,0]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(6,7)=0,(3,7)=2,(1,4)=18,(0,4)=28,(4,5)=32,(2,3)=40,(2,6)=40,(1,2)=43,(5,7)=61,(1,3)=70,(0,5)=74,(4,7)=76,(2,5)=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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 6, 4: 4, 5: 5, 6: 6, 7: 6}, Find(3)=3, Find(7)=6, Add (3,7)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 6, 4: 1, 5: 5, 6: 6, 7: 6}, Find(1)=1, Find(4)=4, Add (1,4)=18 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 6, 4: 1, 5: 5, 6: 6, 7: 6}, Find(0)=0, Find(4)=1, Add (0,4)=28 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 6, 4: 1, 5: 1, 6: 6, 7: 6}, Find(4)=1, Find(5)=5, Add (4,5)=32 Succeeded, w=80\",\"Parent: {0: 1, 1: 1, 2: 6, 3: 6, 4: 1, 5: 1, 6: 6, 7: 6}, Find(2)=2, Find(3)=6, Add (2,3)=40 Succeeded, w=120\",\"Parent: {0: 1, 1: 1, 2: 6, 3: 6, 4: 1, 5: 1, 6: 6, 7: 6}, Find(2)=6, Find(6)=6, Add (2,6)=40 Failed, w=120\",\"Parent: {0: 1, 1: 1, 2: 6, 3: 6, 4: 1, 5: 1, 6: 1, 7: 6}, Find(1)=1, Find(2)=6, Add (1,2)=43 Succeeded, w=163\",\"Parent: {0: 1, 1: 1, 2: 6, 3: 6, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=61 Failed, w=163\",\"Parent: {0: 1, 1: 1, 2: 6, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(3)=1, Add (1,3)=70 Failed, w=163\",\"Parent: {0: 1, 1: 1, 2: 6, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=74 Failed, w=163\",\"Parent: {0: 1, 1: 1, 2: 6, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=76 Failed, w=163\",\"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)=97 Failed, w=163\"],\"Answer\":163}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[1,2,40],[1,3,69],[2,4,4]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,40],[1,3,69],[2,4,4]]}", "role": "user" }, { "content": "{\"Answer\":113}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,40],[1,3,69],[2,4,4]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":113}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,40],[1,3,69],[2,4,4]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=4, w=4\",\"Add (1,2)=40, w=44\",\"Add (1,3)=69, w=113\"],\"Answer\":113}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,40],[1,3,69],[2,4,4]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=4 Succeeded, w=4\",\"Add (1,2)=40 Succeeded, w=44\",\"Add (1,3)=69 Succeeded, w=113\"],\"Answer\":113}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,40],[1,3,69],[2,4,4]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=4,(1,2)=40,(1,3)=69]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=44\",\"Find(1)=2, Find(3)=3, Add (1,3)=69 Succeeded, w=113\"],\"Answer\":113}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,40],[1,3,69],[2,4,4]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=4,(1,2)=40,(1,3)=69]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=44\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=3, Add (1,3)=69 Succeeded, w=113\"],\"Answer\":113}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,99],[0,2,51],[0,3,91],[0,4,75],[0,5,85],[0,6,56],[0,7,21],[1,2,40],[1,3,13],[1,4,71],[1,5,1],[1,6,25],[2,3,100],[2,4,15],[2,5,34],[2,6,72],[2,7,18],[3,4,33],[3,5,96],[3,6,78],[3,7,55],[4,5,17],[4,6,44],[4,7,14],[5,6,82],[5,7,46]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,51],[0,3,91],[0,4,75],[0,5,85],[0,6,56],[0,7,21],[1,2,40],[1,3,13],[1,4,71],[1,5,1],[1,6,25],[2,3,100],[2,4,15],[2,5,34],[2,6,72],[2,7,18],[3,4,33],[3,5,96],[3,6,78],[3,7,55],[4,5,17],[4,6,44],[4,7,14],[5,6,82],[5,7,46]]}", "role": "user" }, { "content": "{\"Answer\":106}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,51],[0,3,91],[0,4,75],[0,5,85],[0,6,56],[0,7,21],[1,2,40],[1,3,13],[1,4,71],[1,5,1],[1,6,25],[2,3,100],[2,4,15],[2,5,34],[2,6,72],[2,7,18],[3,4,33],[3,5,96],[3,6,78],[3,7,55],[4,5,17],[4,6,44],[4,7,14],[5,6,82],[5,7,46]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)\",\"Add (1,3)\",\"Add (4,7)\",\"Add (2,4)\",\"Add (4,5)\",\"Add (0,7)\",\"Add (1,6)\"],\"Answer\":106}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,51],[0,3,91],[0,4,75],[0,5,85],[0,6,56],[0,7,21],[1,2,40],[1,3,13],[1,4,71],[1,5,1],[1,6,25],[2,3,100],[2,4,15],[2,5,34],[2,6,72],[2,7,18],[3,4,33],[3,5,96],[3,6,78],[3,7,55],[4,5,17],[4,6,44],[4,7,14],[5,6,82],[5,7,46]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)=1, w=1\",\"Add (1,3)=13, w=14\",\"Add (4,7)=14, w=28\",\"Add (2,4)=15, w=43\",\"Add (4,5)=17, w=60\",\"Add (0,7)=21, w=81\",\"Add (1,6)=25, w=106\"],\"Answer\":106}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,51],[0,3,91],[0,4,75],[0,5,85],[0,6,56],[0,7,21],[1,2,40],[1,3,13],[1,4,71],[1,5,1],[1,6,25],[2,3,100],[2,4,15],[2,5,34],[2,6,72],[2,7,18],[3,4,33],[3,5,96],[3,6,78],[3,7,55],[4,5,17],[4,6,44],[4,7,14],[5,6,82],[5,7,46]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)=1 Succeeded, w=1\",\"Add (1,3)=13 Succeeded, w=14\",\"Add (4,7)=14 Succeeded, w=28\",\"Add (2,4)=15 Succeeded, w=43\",\"Add (4,5)=17 Succeeded, w=60\",\"Add (2,7)=18 Failed, w=60\",\"Add (0,7)=21 Succeeded, w=81\",\"Add (1,6)=25 Succeeded, w=106\",\"Add (3,4)=33 Failed, w=106\",\"Add (2,5)=34 Failed, w=106\",\"Add (1,2)=40 Failed, w=106\",\"Add (4,6)=44 Failed, w=106\",\"Add (5,7)=46 Failed, w=106\",\"Add (0,2)=51 Failed, w=106\",\"Add (3,7)=55 Failed, w=106\",\"Add (0,6)=56 Failed, w=106\",\"Add (1,4)=71 Failed, w=106\",\"Add (2,6)=72 Failed, w=106\",\"Add (0,4)=75 Failed, w=106\",\"Add (3,6)=78 Failed, w=106\",\"Add (5,6)=82 Failed, w=106\",\"Add (0,5)=85 Failed, w=106\",\"Add (0,3)=91 Failed, w=106\",\"Add (3,5)=96 Failed, w=106\",\"Add (0,1)=99 Failed, w=106\",\"Add (2,3)=100 Failed, w=106\"],\"Answer\":106}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,51],[0,3,91],[0,4,75],[0,5,85],[0,6,56],[0,7,21],[1,2,40],[1,3,13],[1,4,71],[1,5,1],[1,6,25],[2,3,100],[2,4,15],[2,5,34],[2,6,72],[2,7,18],[3,4,33],[3,5,96],[3,6,78],[3,7,55],[4,5,17],[4,6,44],[4,7,14],[5,6,82],[5,7,46]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,5)=1,(1,3)=13,(4,7)=14,(2,4)=15,(4,5)=17,(2,7)=18,(0,7)=21,(1,6)=25,(3,4)=33,(2,5)=34,(1,2)=40,(4,6)=44,(5,7)=46,(0,2)=51,(3,7)=55,(0,6)=56,(1,4)=71,(2,6)=72,(0,4)=75,(3,6)=78,(5,6)=82,(0,5)=85,(0,3)=91,(3,5)=96,(0,1)=99,(2,3)=100]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=14\",\"Find(4)=4, Find(7)=7, Add (4,7)=14 Succeeded, w=28\",\"Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=43\",\"Find(4)=4, Find(5)=1, Add (4,5)=17 Succeeded, w=60\",\"Find(2)=4, Find(7)=4, Add (2,7)=18 Failed, w=60\",\"Find(0)=0, Find(7)=4, Add (0,7)=21 Succeeded, w=81\",\"Find(1)=4, Find(6)=6, Add (1,6)=25 Succeeded, w=106\",\"Find(3)=4, Find(4)=4, Add (3,4)=33 Failed, w=106\",\"Find(2)=4, Find(5)=4, Add (2,5)=34 Failed, w=106\",\"Find(1)=4, Find(2)=4, Add (1,2)=40 Failed, w=106\",\"Find(4)=4, Find(6)=4, Add (4,6)=44 Failed, w=106\",\"Find(5)=4, Find(7)=4, Add (5,7)=46 Failed, w=106\",\"Find(0)=4, Find(2)=4, Add (0,2)=51 Failed, w=106\",\"Find(3)=4, Find(7)=4, Add (3,7)=55 Failed, w=106\",\"Find(0)=4, Find(6)=4, Add (0,6)=56 Failed, w=106\",\"Find(1)=4, Find(4)=4, Add (1,4)=71 Failed, w=106\",\"Find(2)=4, Find(6)=4, Add (2,6)=72 Failed, w=106\",\"Find(0)=4, Find(4)=4, Add (0,4)=75 Failed, w=106\",\"Find(3)=4, Find(6)=4, Add (3,6)=78 Failed, w=106\",\"Find(5)=4, Find(6)=4, Add (5,6)=82 Failed, w=106\",\"Find(0)=4, Find(5)=4, Add (0,5)=85 Failed, w=106\",\"Find(0)=4, Find(3)=4, Add (0,3)=91 Failed, w=106\",\"Find(3)=4, Find(5)=4, Add (3,5)=96 Failed, w=106\",\"Find(0)=4, Find(1)=4, Add (0,1)=99 Failed, w=106\",\"Find(2)=4, Find(3)=4, Add (2,3)=100 Failed, w=106\"],\"Answer\":106}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,51],[0,3,91],[0,4,75],[0,5,85],[0,6,56],[0,7,21],[1,2,40],[1,3,13],[1,4,71],[1,5,1],[1,6,25],[2,3,100],[2,4,15],[2,5,34],[2,6,72],[2,7,18],[3,4,33],[3,5,96],[3,6,78],[3,7,55],[4,5,17],[4,6,44],[4,7,14],[5,6,82],[5,7,46]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,5)=1,(1,3)=13,(4,7)=14,(2,4)=15,(4,5)=17,(2,7)=18,(0,7)=21,(1,6)=25,(3,4)=33,(2,5)=34,(1,2)=40,(4,6)=44,(5,7)=46,(0,2)=51,(3,7)=55,(0,6)=56,(1,4)=71,(2,6)=72,(0,4)=75,(3,6)=78,(5,6)=82,(0,5)=85,(0,3)=91,(3,5)=96,(0,1)=99,(2,3)=100]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=14 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 1, 4: 4, 5: 1, 6: 6, 7: 4}, Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=43\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 1, 4: 4, 5: 1, 6: 6, 7: 4}, Find(4)=4, Find(5)=1, Add (4,5)=17 Succeeded, w=60\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 1, 4: 4, 5: 1, 6: 6, 7: 4}, Find(2)=4, Find(7)=4, Add (2,7)=18 Failed, w=60\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 1, 4: 4, 5: 1, 6: 6, 7: 4}, Find(0)=0, Find(7)=4, Add (0,7)=21 Succeeded, w=81\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 1, 4: 4, 5: 1, 6: 4, 7: 4}, Find(1)=4, Find(6)=6, Add (1,6)=25 Succeeded, w=106\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 1, 6: 4, 7: 4}, Find(3)=4, Find(4)=4, Add (3,4)=33 Failed, w=106\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(5)=4, Add (2,5)=34 Failed, w=106\",\"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)=40 Failed, w=106\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(6)=4, Add (4,6)=44 Failed, w=106\",\"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)=46 Failed, w=106\",\"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)=51 Failed, w=106\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(7)=4, Add (3,7)=55 Failed, w=106\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(6)=4, Add (0,6)=56 Failed, w=106\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(4)=4, Add (1,4)=71 Failed, w=106\",\"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)=72 Failed, w=106\",\"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)=75 Failed, w=106\",\"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)=78 Failed, w=106\",\"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)=82 Failed, w=106\",\"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)=85 Failed, w=106\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(3)=4, Add (0,3)=91 Failed, w=106\",\"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)=96 Failed, w=106\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(1)=4, Add (0,1)=99 Failed, w=106\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(3)=4, Add (2,3)=100 Failed, w=106\"],\"Answer\":106}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,69],[0,2,34],[0,3,89],[0,4,23],[1,3,25],[1,5,81],[2,4,24],[2,5,24],[2,6,63],[3,5,5],[3,6,83],[4,5,4],[4,6,85]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,34],[0,3,89],[0,4,23],[1,3,25],[1,5,81],[2,4,24],[2,5,24],[2,6,63],[3,5,5],[3,6,83],[4,5,4],[4,6,85]]}", "role": "user" }, { "content": "{\"Answer\":144}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,34],[0,3,89],[0,4,23],[1,3,25],[1,5,81],[2,4,24],[2,5,24],[2,6,63],[3,5,5],[3,6,83],[4,5,4],[4,6,85]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,5)\",\"Add (3,5)\",\"Add (0,4)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (2,6)\"],\"Answer\":144}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,34],[0,3,89],[0,4,23],[1,3,25],[1,5,81],[2,4,24],[2,5,24],[2,6,63],[3,5,5],[3,6,83],[4,5,4],[4,6,85]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,5)=4, w=4\",\"Add (3,5)=5, w=9\",\"Add (0,4)=23, w=32\",\"Add (2,4)=24, w=56\",\"Add (1,3)=25, w=81\",\"Add (2,6)=63, w=144\"],\"Answer\":144}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,34],[0,3,89],[0,4,23],[1,3,25],[1,5,81],[2,4,24],[2,5,24],[2,6,63],[3,5,5],[3,6,83],[4,5,4],[4,6,85]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,5)=4 Succeeded, w=4\",\"Add (3,5)=5 Succeeded, w=9\",\"Add (0,4)=23 Succeeded, w=32\",\"Add (2,4)=24 Succeeded, w=56\",\"Add (2,5)=24 Failed, w=56\",\"Add (1,3)=25 Succeeded, w=81\",\"Add (0,2)=34 Failed, w=81\",\"Add (2,6)=63 Succeeded, w=144\",\"Add (0,1)=69 Failed, w=144\",\"Add (1,5)=81 Failed, w=144\",\"Add (3,6)=83 Failed, w=144\",\"Add (4,6)=85 Failed, w=144\",\"Add (0,3)=89 Failed, w=144\"],\"Answer\":144}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,34],[0,3,89],[0,4,23],[1,3,25],[1,5,81],[2,4,24],[2,5,24],[2,6,63],[3,5,5],[3,6,83],[4,5,4],[4,6,85]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(4,5)=4,(3,5)=5,(0,4)=23,(2,4)=24,(2,5)=24,(1,3)=25,(0,2)=34,(2,6)=63,(0,1)=69,(1,5)=81,(3,6)=83,(4,6)=85,(0,3)=89]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=4 Succeeded, w=4\",\"Find(3)=3, Find(5)=4, Add (3,5)=5 Succeeded, w=9\",\"Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=32\",\"Find(2)=2, Find(4)=4, Add (2,4)=24 Succeeded, w=56\",\"Find(2)=4, Find(5)=4, Add (2,5)=24 Failed, w=56\",\"Find(1)=1, Find(3)=4, Add (1,3)=25 Succeeded, w=81\",\"Find(0)=4, Find(2)=4, Add (0,2)=34 Failed, w=81\",\"Find(2)=4, Find(6)=6, Add (2,6)=63 Succeeded, w=144\",\"Find(0)=4, Find(1)=4, Add (0,1)=69 Failed, w=144\",\"Find(1)=4, Find(5)=4, Add (1,5)=81 Failed, w=144\",\"Find(3)=4, Find(6)=4, Add (3,6)=83 Failed, w=144\",\"Find(4)=4, Find(6)=4, Add (4,6)=85 Failed, w=144\",\"Find(0)=4, Find(3)=4, Add (0,3)=89 Failed, w=144\"],\"Answer\":144}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,34],[0,3,89],[0,4,23],[1,3,25],[1,5,81],[2,4,24],[2,5,24],[2,6,63],[3,5,5],[3,6,83],[4,5,4],[4,6,85]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(4,5)=4,(3,5)=5,(0,4)=23,(2,4)=24,(2,5)=24,(1,3)=25,(0,2)=34,(2,6)=63,(0,1)=69,(1,5)=81,(3,6)=83,(4,6)=85,(0,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4, 6: 6}, Find(3)=3, Find(5)=4, Add (3,5)=5 Succeeded, w=9\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=32\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=24 Succeeded, w=56\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6}, Find(2)=4, Find(5)=4, Add (2,5)=24 Failed, w=56\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6}, Find(1)=1, Find(3)=4, Add (1,3)=25 Succeeded, w=81\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6}, Find(0)=4, Find(2)=4, Add (0,2)=34 Failed, w=81\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(6)=6, Add (2,6)=63 Succeeded, w=144\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(1)=4, Add (0,1)=69 Failed, w=144\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(5)=4, Add (1,5)=81 Failed, w=144\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(6)=4, Add (3,6)=83 Failed, w=144\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(6)=4, Add (4,6)=85 Failed, w=144\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(3)=4, Add (0,3)=89 Failed, w=144\"],\"Answer\":144}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,93],[0,2,37],[0,3,47],[1,2,56],[1,3,24],[2,3,47]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,37],[0,3,47],[1,2,56],[1,3,24],[2,3,47]]}", "role": "user" }, { "content": "{\"Answer\":108}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,37],[0,3,47],[1,2,56],[1,3,24],[2,3,47]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":108}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,37],[0,3,47],[1,2,56],[1,3,24],[2,3,47]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=24, w=24\",\"Add (0,2)=37, w=61\",\"Add (0,3)=47, w=108\"],\"Answer\":108}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,37],[0,3,47],[1,2,56],[1,3,24],[2,3,47]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=24 Succeeded, w=24\",\"Add (0,2)=37 Succeeded, w=61\",\"Add (0,3)=47 Succeeded, w=108\",\"Add (2,3)=47 Failed, w=108\",\"Add (1,2)=56 Failed, w=108\",\"Add (0,1)=93 Failed, w=108\"],\"Answer\":108}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,37],[0,3,47],[1,2,56],[1,3,24],[2,3,47]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=24,(0,2)=37,(0,3)=47,(2,3)=47,(1,2)=56,(0,1)=93]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=24\",\"Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=61\",\"Find(0)=0, Find(3)=1, Add (0,3)=47 Succeeded, w=108\",\"Find(2)=0, Find(3)=0, Add (2,3)=47 Failed, w=108\",\"Find(1)=0, Find(2)=0, Add (1,2)=56 Failed, w=108\",\"Find(0)=0, Find(1)=0, Add (0,1)=93 Failed, w=108\"],\"Answer\":108}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,37],[0,3,47],[1,2,56],[1,3,24],[2,3,47]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=24,(0,2)=37,(0,3)=47,(2,3)=47,(1,2)=56,(0,1)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=47 Succeeded, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=47 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=56 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=93 Failed, w=108\"],\"Answer\":108}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,31],[0,2,45],[0,3,75],[0,4,96],[0,5,96],[0,6,36],[1,2,50],[1,3,5],[1,4,30],[1,5,41],[1,6,85],[2,4,74],[2,5,76],[2,6,34],[3,4,19],[3,5,98],[3,6,50],[4,5,66],[5,6,94]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,2,45],[0,3,75],[0,4,96],[0,5,96],[0,6,36],[1,2,50],[1,3,5],[1,4,30],[1,5,41],[1,6,85],[2,4,74],[2,5,76],[2,6,34],[3,4,19],[3,5,98],[3,6,50],[4,5,66],[5,6,94]]}", "role": "user" }, { "content": "{\"Answer\":166}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,2,45],[0,3,75],[0,4,96],[0,5,96],[0,6,36],[1,2,50],[1,3,5],[1,4,30],[1,5,41],[1,6,85],[2,4,74],[2,5,76],[2,6,34],[3,4,19],[3,5,98],[3,6,50],[4,5,66],[5,6,94]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (2,6)\",\"Add (0,6)\",\"Add (1,5)\"],\"Answer\":166}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,2,45],[0,3,75],[0,4,96],[0,5,96],[0,6,36],[1,2,50],[1,3,5],[1,4,30],[1,5,41],[1,6,85],[2,4,74],[2,5,76],[2,6,34],[3,4,19],[3,5,98],[3,6,50],[4,5,66],[5,6,94]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=5, w=5\",\"Add (3,4)=19, w=24\",\"Add (0,1)=31, w=55\",\"Add (2,6)=34, w=89\",\"Add (0,6)=36, w=125\",\"Add (1,5)=41, w=166\"],\"Answer\":166}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,2,45],[0,3,75],[0,4,96],[0,5,96],[0,6,36],[1,2,50],[1,3,5],[1,4,30],[1,5,41],[1,6,85],[2,4,74],[2,5,76],[2,6,34],[3,4,19],[3,5,98],[3,6,50],[4,5,66],[5,6,94]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=5 Succeeded, w=5\",\"Add (3,4)=19 Succeeded, w=24\",\"Add (1,4)=30 Failed, w=24\",\"Add (0,1)=31 Succeeded, w=55\",\"Add (2,6)=34 Succeeded, w=89\",\"Add (0,6)=36 Succeeded, w=125\",\"Add (1,5)=41 Succeeded, w=166\",\"Add (0,2)=45 Failed, w=166\",\"Add (1,2)=50 Failed, w=166\",\"Add (3,6)=50 Failed, w=166\",\"Add (4,5)=66 Failed, w=166\",\"Add (2,4)=74 Failed, w=166\",\"Add (0,3)=75 Failed, w=166\",\"Add (2,5)=76 Failed, w=166\",\"Add (1,6)=85 Failed, w=166\",\"Add (5,6)=94 Failed, w=166\",\"Add (0,4)=96 Failed, w=166\",\"Add (0,5)=96 Failed, w=166\",\"Add (3,5)=98 Failed, w=166\"],\"Answer\":166}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,2,45],[0,3,75],[0,4,96],[0,5,96],[0,6,36],[1,2,50],[1,3,5],[1,4,30],[1,5,41],[1,6,85],[2,4,74],[2,5,76],[2,6,34],[3,4,19],[3,5,98],[3,6,50],[4,5,66],[5,6,94]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=5,(3,4)=19,(1,4)=30,(0,1)=31,(2,6)=34,(0,6)=36,(1,5)=41,(0,2)=45,(1,2)=50,(3,6)=50,(4,5)=66,(2,4)=74,(0,3)=75,(2,5)=76,(1,6)=85,(5,6)=94,(0,4)=96,(0,5)=96,(3,5)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Find(3)=1, Find(4)=4, Add (3,4)=19 Succeeded, w=24\",\"Find(1)=1, Find(4)=1, Add (1,4)=30 Failed, w=24\",\"Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=55\",\"Find(2)=2, Find(6)=6, Add (2,6)=34 Succeeded, w=89\",\"Find(0)=1, Find(6)=2, Add (0,6)=36 Succeeded, w=125\",\"Find(1)=1, Find(5)=5, Add (1,5)=41 Succeeded, w=166\",\"Find(0)=1, Find(2)=1, Add (0,2)=45 Failed, w=166\",\"Find(1)=1, Find(2)=1, Add (1,2)=50 Failed, w=166\",\"Find(3)=1, Find(6)=1, Add (3,6)=50 Failed, w=166\",\"Find(4)=1, Find(5)=1, Add (4,5)=66 Failed, w=166\",\"Find(2)=1, Find(4)=1, Add (2,4)=74 Failed, w=166\",\"Find(0)=1, Find(3)=1, Add (0,3)=75 Failed, w=166\",\"Find(2)=1, Find(5)=1, Add (2,5)=76 Failed, w=166\",\"Find(1)=1, Find(6)=1, Add (1,6)=85 Failed, w=166\",\"Find(5)=1, Find(6)=1, Add (5,6)=94 Failed, w=166\",\"Find(0)=1, Find(4)=1, Add (0,4)=96 Failed, w=166\",\"Find(0)=1, Find(5)=1, Add (0,5)=96 Failed, w=166\",\"Find(3)=1, Find(5)=1, Add (3,5)=98 Failed, w=166\"],\"Answer\":166}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,2,45],[0,3,75],[0,4,96],[0,5,96],[0,6,36],[1,2,50],[1,3,5],[1,4,30],[1,5,41],[1,6,85],[2,4,74],[2,5,76],[2,6,34],[3,4,19],[3,5,98],[3,6,50],[4,5,66],[5,6,94]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=5,(3,4)=19,(1,4)=30,(0,1)=31,(2,6)=34,(0,6)=36,(1,5)=41,(0,2)=45,(1,2)=50,(3,6)=50,(4,5)=66,(2,4)=74,(0,3)=75,(2,5)=76,(1,6)=85,(5,6)=94,(0,4)=96,(0,5)=96,(3,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6}, Find(3)=1, Find(4)=4, Add (3,4)=19 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=1, Add (1,4)=30 Failed, w=24\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=55\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=34 Succeeded, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 2}, Find(0)=1, Find(6)=2, Add (0,6)=36 Succeeded, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(1)=1, Find(5)=5, Add (1,5)=41 Succeeded, w=166\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(0)=1, Find(2)=1, Add (0,2)=45 Failed, w=166\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(1)=1, Find(2)=1, Add (1,2)=50 Failed, w=166\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=50 Failed, w=166\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=66 Failed, w=166\",\"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=166\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=75 Failed, w=166\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=76 Failed, w=166\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=85 Failed, w=166\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=94 Failed, w=166\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=96 Failed, w=166\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=96 Failed, w=166\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=98 Failed, w=166\"],\"Answer\":166}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,65],[0,4,16],[0,6,50],[0,7,38],[1,2,42],[1,4,50],[1,6,66],[1,7,0],[2,3,51],[2,5,11],[2,6,36],[2,7,68],[3,4,54],[3,5,100],[3,7,11],[4,6,83],[4,7,21],[5,6,96]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,65],[0,4,16],[0,6,50],[0,7,38],[1,2,42],[1,4,50],[1,6,66],[1,7,0],[2,3,51],[2,5,11],[2,6,36],[2,7,68],[3,4,54],[3,5,100],[3,7,11],[4,6,83],[4,7,21],[5,6,96]]}", "role": "user" }, { "content": "{\"Answer\":137}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,65],[0,4,16],[0,6,50],[0,7,38],[1,2,42],[1,4,50],[1,6,66],[1,7,0],[2,3,51],[2,5,11],[2,6,36],[2,7,68],[3,4,54],[3,5,100],[3,7,11],[4,6,83],[4,7,21],[5,6,96]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,7)\",\"Add (2,5)\",\"Add (3,7)\",\"Add (0,4)\",\"Add (4,7)\",\"Add (2,6)\",\"Add (1,2)\"],\"Answer\":137}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,65],[0,4,16],[0,6,50],[0,7,38],[1,2,42],[1,4,50],[1,6,66],[1,7,0],[2,3,51],[2,5,11],[2,6,36],[2,7,68],[3,4,54],[3,5,100],[3,7,11],[4,6,83],[4,7,21],[5,6,96]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,7)=0, w=0\",\"Add (2,5)=11, w=11\",\"Add (3,7)=11, w=22\",\"Add (0,4)=16, w=38\",\"Add (4,7)=21, w=59\",\"Add (2,6)=36, w=95\",\"Add (1,2)=42, w=137\"],\"Answer\":137}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,65],[0,4,16],[0,6,50],[0,7,38],[1,2,42],[1,4,50],[1,6,66],[1,7,0],[2,3,51],[2,5,11],[2,6,36],[2,7,68],[3,4,54],[3,5,100],[3,7,11],[4,6,83],[4,7,21],[5,6,96]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,7)=0 Succeeded, w=0\",\"Add (2,5)=11 Succeeded, w=11\",\"Add (3,7)=11 Succeeded, w=22\",\"Add (0,4)=16 Succeeded, w=38\",\"Add (4,7)=21 Succeeded, w=59\",\"Add (2,6)=36 Succeeded, w=95\",\"Add (0,7)=38 Failed, w=95\",\"Add (1,2)=42 Succeeded, w=137\",\"Add (0,6)=50 Failed, w=137\",\"Add (1,4)=50 Failed, w=137\",\"Add (2,3)=51 Failed, w=137\",\"Add (3,4)=54 Failed, w=137\",\"Add (0,1)=65 Failed, w=137\",\"Add (1,6)=66 Failed, w=137\",\"Add (2,7)=68 Failed, w=137\",\"Add (4,6)=83 Failed, w=137\",\"Add (5,6)=96 Failed, w=137\",\"Add (3,5)=100 Failed, w=137\"],\"Answer\":137}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,65],[0,4,16],[0,6,50],[0,7,38],[1,2,42],[1,4,50],[1,6,66],[1,7,0],[2,3,51],[2,5,11],[2,6,36],[2,7,68],[3,4,54],[3,5,100],[3,7,11],[4,6,83],[4,7,21],[5,6,96]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,7)=0,(2,5)=11,(3,7)=11,(0,4)=16,(4,7)=21,(2,6)=36,(0,7)=38,(1,2)=42,(0,6)=50,(1,4)=50,(2,3)=51,(3,4)=54,(0,1)=65,(1,6)=66,(2,7)=68,(4,6)=83,(5,6)=96,(3,5)=100]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=0 Succeeded, w=0\",\"Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=11\",\"Find(3)=3, Find(7)=1, Add (3,7)=11 Succeeded, w=22\",\"Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=38\",\"Find(4)=0, Find(7)=1, Add (4,7)=21 Succeeded, w=59\",\"Find(2)=2, Find(6)=6, Add (2,6)=36 Succeeded, w=95\",\"Find(0)=0, Find(7)=0, Add (0,7)=38 Failed, w=95\",\"Find(1)=0, Find(2)=2, Add (1,2)=42 Succeeded, w=137\",\"Find(0)=0, Find(6)=0, Add (0,6)=50 Failed, w=137\",\"Find(1)=0, Find(4)=0, Add (1,4)=50 Failed, w=137\",\"Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=137\",\"Find(3)=0, Find(4)=0, Add (3,4)=54 Failed, w=137\",\"Find(0)=0, Find(1)=0, Add (0,1)=65 Failed, w=137\",\"Find(1)=0, Find(6)=0, Add (1,6)=66 Failed, w=137\",\"Find(2)=0, Find(7)=0, Add (2,7)=68 Failed, w=137\",\"Find(4)=0, Find(6)=0, Add (4,6)=83 Failed, w=137\",\"Find(5)=0, Find(6)=0, Add (5,6)=96 Failed, w=137\",\"Find(3)=0, Find(5)=0, Add (3,5)=100 Failed, w=137\"],\"Answer\":137}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,65],[0,4,16],[0,6,50],[0,7,38],[1,2,42],[1,4,50],[1,6,66],[1,7,0],[2,3,51],[2,5,11],[2,6,36],[2,7,68],[3,4,54],[3,5,100],[3,7,11],[4,6,83],[4,7,21],[5,6,96]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,7)=0,(2,5)=11,(3,7)=11,(0,4)=16,(4,7)=21,(2,6)=36,(0,7)=38,(1,2)=42,(0,6)=50,(1,4)=50,(2,3)=51,(3,4)=54,(0,1)=65,(1,6)=66,(2,7)=68,(4,6)=83,(5,6)=96,(3,5)=100]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 1}, Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2, 6: 6, 7: 1}, Find(3)=3, Find(7)=1, Add (3,7)=11 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 2, 6: 6, 7: 1}, Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0, 5: 2, 6: 6, 7: 1}, Find(4)=0, Find(7)=1, Add (4,7)=21 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0, 5: 2, 6: 2, 7: 1}, Find(2)=2, Find(6)=6, Add (2,6)=36 Succeeded, w=95\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0, 5: 2, 6: 2, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=38 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 2, 6: 2, 7: 0}, Find(1)=0, Find(2)=2, Add (1,2)=42 Succeeded, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 2, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=50 Failed, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 2, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=50 Failed, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=54 Failed, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=65 Failed, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=66 Failed, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=68 Failed, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=83 Failed, w=137\",\"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)=96 Failed, w=137\",\"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)=100 Failed, w=137\"],\"Answer\":137}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,88],[0,2,11],[0,3,42],[1,2,73],[1,3,93],[2,3,45]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,11],[0,3,42],[1,2,73],[1,3,93],[2,3,45]]}", "role": "user" }, { "content": "{\"Answer\":126}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,11],[0,3,42],[1,2,73],[1,3,93],[2,3,45]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":126}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,11],[0,3,42],[1,2,73],[1,3,93],[2,3,45]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=11, w=11\",\"Add (0,3)=42, w=53\",\"Add (1,2)=73, w=126\"],\"Answer\":126}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,11],[0,3,42],[1,2,73],[1,3,93],[2,3,45]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=11 Succeeded, w=11\",\"Add (0,3)=42 Succeeded, w=53\",\"Add (2,3)=45 Failed, w=53\",\"Add (1,2)=73 Succeeded, w=126\",\"Add (0,1)=88 Failed, w=126\",\"Add (1,3)=93 Failed, w=126\"],\"Answer\":126}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,11],[0,3,42],[1,2,73],[1,3,93],[2,3,45]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=11,(0,3)=42,(2,3)=45,(1,2)=73,(0,1)=88,(1,3)=93]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=11\",\"Find(0)=0, Find(3)=3, Add (0,3)=42 Succeeded, w=53\",\"Find(2)=0, Find(3)=0, Add (2,3)=45 Failed, w=53\",\"Find(1)=1, Find(2)=0, Add (1,2)=73 Succeeded, w=126\",\"Find(0)=0, Find(1)=0, Add (0,1)=88 Failed, w=126\",\"Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=126\"],\"Answer\":126}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,11],[0,3,42],[1,2,73],[1,3,93],[2,3,45]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=11,(0,3)=42,(2,3)=45,(1,2)=73,(0,1)=88,(1,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=42 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=45 Failed, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=73 Succeeded, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=88 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=126\"],\"Answer\":126}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,87],[0,2,47],[0,3,84],[0,4,86],[0,5,51],[0,6,17],[1,2,45],[1,4,92],[1,5,74],[1,6,15],[2,4,97],[2,5,47],[2,6,30],[3,4,32],[3,5,61],[4,5,33],[4,6,71],[5,6,39]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,87],[0,2,47],[0,3,84],[0,4,86],[0,5,51],[0,6,17],[1,2,45],[1,4,92],[1,5,74],[1,6,15],[2,4,97],[2,5,47],[2,6,30],[3,4,32],[3,5,61],[4,5,33],[4,6,71],[5,6,39]]}", "role": "user" }, { "content": "{\"Answer\":166}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,87],[0,2,47],[0,3,84],[0,4,86],[0,5,51],[0,6,17],[1,2,45],[1,4,92],[1,5,74],[1,6,15],[2,4,97],[2,5,47],[2,6,30],[3,4,32],[3,5,61],[4,5,33],[4,6,71],[5,6,39]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,6)\",\"Add (0,6)\",\"Add (2,6)\",\"Add (3,4)\",\"Add (4,5)\",\"Add (5,6)\"],\"Answer\":166}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,87],[0,2,47],[0,3,84],[0,4,86],[0,5,51],[0,6,17],[1,2,45],[1,4,92],[1,5,74],[1,6,15],[2,4,97],[2,5,47],[2,6,30],[3,4,32],[3,5,61],[4,5,33],[4,6,71],[5,6,39]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,6)=15, w=15\",\"Add (0,6)=17, w=32\",\"Add (2,6)=30, w=62\",\"Add (3,4)=32, w=94\",\"Add (4,5)=33, w=127\",\"Add (5,6)=39, w=166\"],\"Answer\":166}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,87],[0,2,47],[0,3,84],[0,4,86],[0,5,51],[0,6,17],[1,2,45],[1,4,92],[1,5,74],[1,6,15],[2,4,97],[2,5,47],[2,6,30],[3,4,32],[3,5,61],[4,5,33],[4,6,71],[5,6,39]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,6)=15 Succeeded, w=15\",\"Add (0,6)=17 Succeeded, w=32\",\"Add (2,6)=30 Succeeded, w=62\",\"Add (3,4)=32 Succeeded, w=94\",\"Add (4,5)=33 Succeeded, w=127\",\"Add (5,6)=39 Succeeded, w=166\",\"Add (1,2)=45 Failed, w=166\",\"Add (0,2)=47 Failed, w=166\",\"Add (2,5)=47 Failed, w=166\",\"Add (0,5)=51 Failed, w=166\",\"Add (3,5)=61 Failed, w=166\",\"Add (4,6)=71 Failed, w=166\",\"Add (1,5)=74 Failed, w=166\",\"Add (0,3)=84 Failed, w=166\",\"Add (0,4)=86 Failed, w=166\",\"Add (0,1)=87 Failed, w=166\",\"Add (1,4)=92 Failed, w=166\",\"Add (2,4)=97 Failed, w=166\"],\"Answer\":166}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,87],[0,2,47],[0,3,84],[0,4,86],[0,5,51],[0,6,17],[1,2,45],[1,4,92],[1,5,74],[1,6,15],[2,4,97],[2,5,47],[2,6,30],[3,4,32],[3,5,61],[4,5,33],[4,6,71],[5,6,39]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,6)=15,(0,6)=17,(2,6)=30,(3,4)=32,(4,5)=33,(5,6)=39,(1,2)=45,(0,2)=47,(2,5)=47,(0,5)=51,(3,5)=61,(4,6)=71,(1,5)=74,(0,3)=84,(0,4)=86,(0,1)=87,(1,4)=92,(2,4)=97]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=15 Succeeded, w=15\",\"Find(0)=0, Find(6)=1, Add (0,6)=17 Succeeded, w=32\",\"Find(2)=2, Find(6)=1, Add (2,6)=30 Succeeded, w=62\",\"Find(3)=3, Find(4)=4, Add (3,4)=32 Succeeded, w=94\",\"Find(4)=3, Find(5)=5, Add (4,5)=33 Succeeded, w=127\",\"Find(5)=3, Find(6)=1, Add (5,6)=39 Succeeded, w=166\",\"Find(1)=3, Find(2)=3, Add (1,2)=45 Failed, w=166\",\"Find(0)=3, Find(2)=3, Add (0,2)=47 Failed, w=166\",\"Find(2)=3, Find(5)=3, Add (2,5)=47 Failed, w=166\",\"Find(0)=3, Find(5)=3, Add (0,5)=51 Failed, w=166\",\"Find(3)=3, Find(5)=3, Add (3,5)=61 Failed, w=166\",\"Find(4)=3, Find(6)=3, Add (4,6)=71 Failed, w=166\",\"Find(1)=3, Find(5)=3, Add (1,5)=74 Failed, w=166\",\"Find(0)=3, Find(3)=3, Add (0,3)=84 Failed, w=166\",\"Find(0)=3, Find(4)=3, Add (0,4)=86 Failed, w=166\",\"Find(0)=3, Find(1)=3, Add (0,1)=87 Failed, w=166\",\"Find(1)=3, Find(4)=3, Add (1,4)=92 Failed, w=166\",\"Find(2)=3, Find(4)=3, Add (2,4)=97 Failed, w=166\"],\"Answer\":166}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,87],[0,2,47],[0,3,84],[0,4,86],[0,5,51],[0,6,17],[1,2,45],[1,4,92],[1,5,74],[1,6,15],[2,4,97],[2,5,47],[2,6,30],[3,4,32],[3,5,61],[4,5,33],[4,6,71],[5,6,39]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,6)=15,(0,6)=17,(2,6)=30,(3,4)=32,(4,5)=33,(5,6)=39,(1,2)=45,(0,2)=47,(2,5)=47,(0,5)=51,(3,5)=61,(4,6)=71,(1,5)=74,(0,3)=84,(0,4)=86,(0,1)=87,(1,4)=92,(2,4)=97]\",\"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)=15 Succeeded, w=15\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=17 Succeeded, w=32\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 1}, Find(2)=2, Find(6)=1, Add (2,6)=30 Succeeded, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 1}, Find(3)=3, Find(4)=4, Add (3,4)=32 Succeeded, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 3, 6: 1}, Find(4)=3, Find(5)=5, Add (4,5)=33 Succeeded, w=127\",\"Parent: {0: 1, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 1}, Find(5)=3, Find(6)=1, Add (5,6)=39 Succeeded, w=166\",\"Parent: {0: 1, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1}, Find(1)=3, Find(2)=3, Add (1,2)=45 Failed, w=166\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1}, Find(0)=3, Find(2)=3, Add (0,2)=47 Failed, w=166\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1}, Find(2)=3, Find(5)=3, Add (2,5)=47 Failed, w=166\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1}, Find(0)=3, Find(5)=3, Add (0,5)=51 Failed, w=166\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1}, Find(3)=3, Find(5)=3, Add (3,5)=61 Failed, w=166\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=71 Failed, w=166\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=74 Failed, w=166\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=84 Failed, w=166\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=86 Failed, w=166\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=87 Failed, w=166\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=92 Failed, w=166\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=97 Failed, w=166\"],\"Answer\":166}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,55],[0,2,42],[1,2,30],[2,3,59],[2,4,15],[3,5,4]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,42],[1,2,30],[2,3,59],[2,4,15],[3,5,4]]}", "role": "user" }, { "content": "{\"Answer\":150}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,42],[1,2,30],[2,3,59],[2,4,15],[3,5,4]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)\",\"Add (2,4)\",\"Add (1,2)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":150}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,42],[1,2,30],[2,3,59],[2,4,15],[3,5,4]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=4, w=4\",\"Add (2,4)=15, w=19\",\"Add (1,2)=30, w=49\",\"Add (0,2)=42, w=91\",\"Add (2,3)=59, w=150\"],\"Answer\":150}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,42],[1,2,30],[2,3,59],[2,4,15],[3,5,4]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=4 Succeeded, w=4\",\"Add (2,4)=15 Succeeded, w=19\",\"Add (1,2)=30 Succeeded, w=49\",\"Add (0,2)=42 Succeeded, w=91\",\"Add (0,1)=55 Failed, w=91\",\"Add (2,3)=59 Succeeded, w=150\"],\"Answer\":150}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,42],[1,2,30],[2,3,59],[2,4,15],[3,5,4]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=4,(2,4)=15,(1,2)=30,(0,2)=42,(0,1)=55,(2,3)=59]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=4 Succeeded, w=4\",\"Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=19\",\"Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=49\",\"Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=91\",\"Find(0)=2, Find(1)=2, Add (0,1)=55 Failed, w=91\",\"Find(2)=2, Find(3)=3, Add (2,3)=59 Succeeded, w=150\"],\"Answer\":150}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,42],[1,2,30],[2,3,59],[2,4,15],[3,5,4]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=4,(2,4)=15,(1,2)=30,(0,2)=42,(0,1)=55,(2,3)=59]\",\"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)=15 Succeeded, w=19\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 3}, Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=49\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 3}, Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 3}, Find(0)=2, Find(1)=2, Add (0,1)=55 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3}, Find(2)=2, Find(3)=3, Add (2,3)=59 Succeeded, w=150\"],\"Answer\":150}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,51],[0,3,36],[0,5,10],[1,2,18],[1,3,37],[1,4,79],[1,5,53],[2,3,97],[2,4,31],[2,5,80],[3,4,74],[3,5,47],[4,5,12]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,51],[0,3,36],[0,5,10],[1,2,18],[1,3,37],[1,4,79],[1,5,53],[2,3,97],[2,4,31],[2,5,80],[3,4,74],[3,5,47],[4,5,12]]}", "role": "user" }, { "content": "{\"Answer\":107}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,51],[0,3,36],[0,5,10],[1,2,18],[1,3,37],[1,4,79],[1,5,53],[2,3,97],[2,4,31],[2,5,80],[3,4,74],[3,5,47],[4,5,12]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)\",\"Add (4,5)\",\"Add (1,2)\",\"Add (2,4)\",\"Add (0,3)\"],\"Answer\":107}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,51],[0,3,36],[0,5,10],[1,2,18],[1,3,37],[1,4,79],[1,5,53],[2,3,97],[2,4,31],[2,5,80],[3,4,74],[3,5,47],[4,5,12]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)=10, w=10\",\"Add (4,5)=12, w=22\",\"Add (1,2)=18, w=40\",\"Add (2,4)=31, w=71\",\"Add (0,3)=36, w=107\"],\"Answer\":107}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,51],[0,3,36],[0,5,10],[1,2,18],[1,3,37],[1,4,79],[1,5,53],[2,3,97],[2,4,31],[2,5,80],[3,4,74],[3,5,47],[4,5,12]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)=10 Succeeded, w=10\",\"Add (4,5)=12 Succeeded, w=22\",\"Add (1,2)=18 Succeeded, w=40\",\"Add (2,4)=31 Succeeded, w=71\",\"Add (0,3)=36 Succeeded, w=107\",\"Add (1,3)=37 Failed, w=107\",\"Add (3,5)=47 Failed, w=107\",\"Add (0,2)=51 Failed, w=107\",\"Add (1,5)=53 Failed, w=107\",\"Add (3,4)=74 Failed, w=107\",\"Add (1,4)=79 Failed, w=107\",\"Add (2,5)=80 Failed, w=107\",\"Add (2,3)=97 Failed, w=107\"],\"Answer\":107}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,51],[0,3,36],[0,5,10],[1,2,18],[1,3,37],[1,4,79],[1,5,53],[2,3,97],[2,4,31],[2,5,80],[3,4,74],[3,5,47],[4,5,12]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,5)=10,(4,5)=12,(1,2)=18,(2,4)=31,(0,3)=36,(1,3)=37,(3,5)=47,(0,2)=51,(1,5)=53,(3,4)=74,(1,4)=79,(2,5)=80,(2,3)=97]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=10 Succeeded, w=10\",\"Find(4)=4, Find(5)=0, Add (4,5)=12 Succeeded, w=22\",\"Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=40\",\"Find(2)=1, Find(4)=0, Add (2,4)=31 Succeeded, w=71\",\"Find(0)=1, Find(3)=3, Add (0,3)=36 Succeeded, w=107\",\"Find(1)=1, Find(3)=1, Add (1,3)=37 Failed, w=107\",\"Find(3)=1, Find(5)=1, Add (3,5)=47 Failed, w=107\",\"Find(0)=1, Find(2)=1, Add (0,2)=51 Failed, w=107\",\"Find(1)=1, Find(5)=1, Add (1,5)=53 Failed, w=107\",\"Find(3)=1, Find(4)=1, Add (3,4)=74 Failed, w=107\",\"Find(1)=1, Find(4)=1, Add (1,4)=79 Failed, w=107\",\"Find(2)=1, Find(5)=1, Add (2,5)=80 Failed, w=107\",\"Find(2)=1, Find(3)=1, Add (2,3)=97 Failed, w=107\"],\"Answer\":107}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,51],[0,3,36],[0,5,10],[1,2,18],[1,3,37],[1,4,79],[1,5,53],[2,3,97],[2,4,31],[2,5,80],[3,4,74],[3,5,47],[4,5,12]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,5)=10,(4,5)=12,(1,2)=18,(2,4)=31,(0,3)=36,(1,3)=37,(3,5)=47,(0,2)=51,(1,5)=53,(3,4)=74,(1,4)=79,(2,5)=80,(2,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0}, Find(4)=4, Find(5)=0, Add (4,5)=12 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 0}, Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 0}, Find(2)=1, Find(4)=0, Add (2,4)=31 Succeeded, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 0}, Find(0)=1, Find(3)=3, Add (0,3)=36 Succeeded, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 0}, Find(1)=1, Find(3)=1, Add (1,3)=37 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=47 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=51 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=53 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=74 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=79 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=80 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=97 Failed, w=107\"],\"Answer\":107}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,24],[0,3,45],[0,4,96],[0,5,69],[0,6,39],[0,7,79],[1,2,78],[1,3,30],[1,4,20],[1,5,24],[1,6,86],[1,7,56],[2,3,31],[2,4,77],[2,5,62],[2,6,39],[3,4,1],[3,5,70],[3,6,18],[3,7,18],[4,5,16],[4,6,84],[5,6,67],[5,7,14],[6,7,31]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,24],[0,3,45],[0,4,96],[0,5,69],[0,6,39],[0,7,79],[1,2,78],[1,3,30],[1,4,20],[1,5,24],[1,6,86],[1,7,56],[2,3,31],[2,4,77],[2,5,62],[2,6,39],[3,4,1],[3,5,70],[3,6,18],[3,7,18],[4,5,16],[4,6,84],[5,6,67],[5,7,14],[6,7,31]]}", "role": "user" }, { "content": "{\"Answer\":124}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,24],[0,3,45],[0,4,96],[0,5,69],[0,6,39],[0,7,79],[1,2,78],[1,3,30],[1,4,20],[1,5,24],[1,6,86],[1,7,56],[2,3,31],[2,4,77],[2,5,62],[2,6,39],[3,4,1],[3,5,70],[3,6,18],[3,7,18],[4,5,16],[4,6,84],[5,6,67],[5,7,14],[6,7,31]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)\",\"Add (5,7)\",\"Add (4,5)\",\"Add (3,6)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":124}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,24],[0,3,45],[0,4,96],[0,5,69],[0,6,39],[0,7,79],[1,2,78],[1,3,30],[1,4,20],[1,5,24],[1,6,86],[1,7,56],[2,3,31],[2,4,77],[2,5,62],[2,6,39],[3,4,1],[3,5,70],[3,6,18],[3,7,18],[4,5,16],[4,6,84],[5,6,67],[5,7,14],[6,7,31]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=1, w=1\",\"Add (5,7)=14, w=15\",\"Add (4,5)=16, w=31\",\"Add (3,6)=18, w=49\",\"Add (1,4)=20, w=69\",\"Add (0,2)=24, w=93\",\"Add (2,3)=31, w=124\"],\"Answer\":124}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,24],[0,3,45],[0,4,96],[0,5,69],[0,6,39],[0,7,79],[1,2,78],[1,3,30],[1,4,20],[1,5,24],[1,6,86],[1,7,56],[2,3,31],[2,4,77],[2,5,62],[2,6,39],[3,4,1],[3,5,70],[3,6,18],[3,7,18],[4,5,16],[4,6,84],[5,6,67],[5,7,14],[6,7,31]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=1 Succeeded, w=1\",\"Add (5,7)=14 Succeeded, w=15\",\"Add (4,5)=16 Succeeded, w=31\",\"Add (3,6)=18 Succeeded, w=49\",\"Add (3,7)=18 Failed, w=49\",\"Add (1,4)=20 Succeeded, w=69\",\"Add (0,2)=24 Succeeded, w=93\",\"Add (1,5)=24 Failed, w=93\",\"Add (1,3)=30 Failed, w=93\",\"Add (2,3)=31 Succeeded, w=124\",\"Add (6,7)=31 Failed, w=124\",\"Add (0,6)=39 Failed, w=124\",\"Add (2,6)=39 Failed, w=124\",\"Add (0,3)=45 Failed, w=124\",\"Add (1,7)=56 Failed, w=124\",\"Add (2,5)=62 Failed, w=124\",\"Add (5,6)=67 Failed, w=124\",\"Add (0,5)=69 Failed, w=124\",\"Add (3,5)=70 Failed, w=124\",\"Add (2,4)=77 Failed, w=124\",\"Add (1,2)=78 Failed, w=124\",\"Add (0,7)=79 Failed, w=124\",\"Add (4,6)=84 Failed, w=124\",\"Add (1,6)=86 Failed, w=124\",\"Add (0,4)=96 Failed, w=124\"],\"Answer\":124}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,24],[0,3,45],[0,4,96],[0,5,69],[0,6,39],[0,7,79],[1,2,78],[1,3,30],[1,4,20],[1,5,24],[1,6,86],[1,7,56],[2,3,31],[2,4,77],[2,5,62],[2,6,39],[3,4,1],[3,5,70],[3,6,18],[3,7,18],[4,5,16],[4,6,84],[5,6,67],[5,7,14],[6,7,31]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=1,(5,7)=14,(4,5)=16,(3,6)=18,(3,7)=18,(1,4)=20,(0,2)=24,(1,5)=24,(1,3)=30,(2,3)=31,(6,7)=31,(0,6)=39,(2,6)=39,(0,3)=45,(1,7)=56,(2,5)=62,(5,6)=67,(0,5)=69,(3,5)=70,(2,4)=77,(1,2)=78,(0,7)=79,(4,6)=84,(1,6)=86,(0,4)=96]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Find(5)=5, Find(7)=7, Add (5,7)=14 Succeeded, w=15\",\"Find(4)=3, Find(5)=5, Add (4,5)=16 Succeeded, w=31\",\"Find(3)=3, Find(6)=6, Add (3,6)=18 Succeeded, w=49\",\"Find(3)=3, Find(7)=3, Add (3,7)=18 Failed, w=49\",\"Find(1)=1, Find(4)=3, Add (1,4)=20 Succeeded, w=69\",\"Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=93\",\"Find(1)=3, Find(5)=3, Add (1,5)=24 Failed, w=93\",\"Find(1)=3, Find(3)=3, Add (1,3)=30 Failed, w=93\",\"Find(2)=0, Find(3)=3, Add (2,3)=31 Succeeded, w=124\",\"Find(6)=3, Find(7)=3, Add (6,7)=31 Failed, w=124\",\"Find(0)=3, Find(6)=3, Add (0,6)=39 Failed, w=124\",\"Find(2)=3, Find(6)=3, Add (2,6)=39 Failed, w=124\",\"Find(0)=3, Find(3)=3, Add (0,3)=45 Failed, w=124\",\"Find(1)=3, Find(7)=3, Add (1,7)=56 Failed, w=124\",\"Find(2)=3, Find(5)=3, Add (2,5)=62 Failed, w=124\",\"Find(5)=3, Find(6)=3, Add (5,6)=67 Failed, w=124\",\"Find(0)=3, Find(5)=3, Add (0,5)=69 Failed, w=124\",\"Find(3)=3, Find(5)=3, Add (3,5)=70 Failed, w=124\",\"Find(2)=3, Find(4)=3, Add (2,4)=77 Failed, w=124\",\"Find(1)=3, Find(2)=3, Add (1,2)=78 Failed, w=124\",\"Find(0)=3, Find(7)=3, Add (0,7)=79 Failed, w=124\",\"Find(4)=3, Find(6)=3, Add (4,6)=84 Failed, w=124\",\"Find(1)=3, Find(6)=3, Add (1,6)=86 Failed, w=124\",\"Find(0)=3, Find(4)=3, Add (0,4)=96 Failed, w=124\"],\"Answer\":124}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,24],[0,3,45],[0,4,96],[0,5,69],[0,6,39],[0,7,79],[1,2,78],[1,3,30],[1,4,20],[1,5,24],[1,6,86],[1,7,56],[2,3,31],[2,4,77],[2,5,62],[2,6,39],[3,4,1],[3,5,70],[3,6,18],[3,7,18],[4,5,16],[4,6,84],[5,6,67],[5,7,14],[6,7,31]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=1,(5,7)=14,(4,5)=16,(3,6)=18,(3,7)=18,(1,4)=20,(0,2)=24,(1,5)=24,(1,3)=30,(2,3)=31,(6,7)=31,(0,6)=39,(2,6)=39,(0,3)=45,(1,7)=56,(2,5)=62,(5,6)=67,(0,5)=69,(3,5)=70,(2,4)=77,(1,2)=78,(0,7)=79,(4,6)=84,(1,6)=86,(0,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=14 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6, 7: 5}, Find(4)=3, Find(5)=5, Add (4,5)=16 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3, 7: 5}, Find(3)=3, Find(6)=6, Add (3,6)=18 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=18 Failed, w=49\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=1, Find(4)=3, Add (1,4)=20 Succeeded, w=69\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=93\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=24 Failed, w=93\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=30 Failed, w=93\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=0, Find(3)=3, Add (2,3)=31 Succeeded, w=124\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(6)=3, Find(7)=3, Add (6,7)=31 Failed, w=124\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=39 Failed, w=124\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(6)=3, Add (2,6)=39 Failed, w=124\",\"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)=45 Failed, w=124\",\"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)=56 Failed, w=124\",\"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)=62 Failed, w=124\",\"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)=67 Failed, w=124\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(5)=3, Add (0,5)=69 Failed, w=124\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(5)=3, Add (3,5)=70 Failed, w=124\",\"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)=77 Failed, w=124\",\"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)=78 Failed, w=124\",\"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)=79 Failed, w=124\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=84 Failed, w=124\",\"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)=86 Failed, w=124\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=96 Failed, w=124\"],\"Answer\":124}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,82],[0,3,70],[0,4,72],[0,5,63],[0,6,48],[1,3,49],[1,4,5],[1,5,80],[1,6,66],[2,4,67],[2,6,25],[3,4,43],[3,5,98],[3,6,22],[4,5,63],[4,6,48],[5,6,51]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,3,70],[0,4,72],[0,5,63],[0,6,48],[1,3,49],[1,4,5],[1,5,80],[1,6,66],[2,4,67],[2,6,25],[3,4,43],[3,5,98],[3,6,22],[4,5,63],[4,6,48],[5,6,51]]}", "role": "user" }, { "content": "{\"Answer\":194}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,3,70],[0,4,72],[0,5,63],[0,6,48],[1,3,49],[1,4,5],[1,5,80],[1,6,66],[2,4,67],[2,6,25],[3,4,43],[3,5,98],[3,6,22],[4,5,63],[4,6,48],[5,6,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)\",\"Add (3,6)\",\"Add (2,6)\",\"Add (3,4)\",\"Add (0,6)\",\"Add (5,6)\"],\"Answer\":194}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,3,70],[0,4,72],[0,5,63],[0,6,48],[1,3,49],[1,4,5],[1,5,80],[1,6,66],[2,4,67],[2,6,25],[3,4,43],[3,5,98],[3,6,22],[4,5,63],[4,6,48],[5,6,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=5, w=5\",\"Add (3,6)=22, w=27\",\"Add (2,6)=25, w=52\",\"Add (3,4)=43, w=95\",\"Add (0,6)=48, w=143\",\"Add (5,6)=51, w=194\"],\"Answer\":194}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,3,70],[0,4,72],[0,5,63],[0,6,48],[1,3,49],[1,4,5],[1,5,80],[1,6,66],[2,4,67],[2,6,25],[3,4,43],[3,5,98],[3,6,22],[4,5,63],[4,6,48],[5,6,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=5 Succeeded, w=5\",\"Add (3,6)=22 Succeeded, w=27\",\"Add (2,6)=25 Succeeded, w=52\",\"Add (3,4)=43 Succeeded, w=95\",\"Add (0,6)=48 Succeeded, w=143\",\"Add (4,6)=48 Failed, w=143\",\"Add (1,3)=49 Failed, w=143\",\"Add (5,6)=51 Succeeded, w=194\",\"Add (0,5)=63 Failed, w=194\",\"Add (4,5)=63 Failed, w=194\",\"Add (1,6)=66 Failed, w=194\",\"Add (2,4)=67 Failed, w=194\",\"Add (0,3)=70 Failed, w=194\",\"Add (0,4)=72 Failed, w=194\",\"Add (1,5)=80 Failed, w=194\",\"Add (0,1)=82 Failed, w=194\",\"Add (3,5)=98 Failed, w=194\"],\"Answer\":194}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,3,70],[0,4,72],[0,5,63],[0,6,48],[1,3,49],[1,4,5],[1,5,80],[1,6,66],[2,4,67],[2,6,25],[3,4,43],[3,5,98],[3,6,22],[4,5,63],[4,6,48],[5,6,51]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=5,(3,6)=22,(2,6)=25,(3,4)=43,(0,6)=48,(4,6)=48,(1,3)=49,(5,6)=51,(0,5)=63,(4,5)=63,(1,6)=66,(2,4)=67,(0,3)=70,(0,4)=72,(1,5)=80,(0,1)=82,(3,5)=98]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Find(3)=3, Find(6)=6, Add (3,6)=22 Succeeded, w=27\",\"Find(2)=2, Find(6)=3, Add (2,6)=25 Succeeded, w=52\",\"Find(3)=3, Find(4)=1, Add (3,4)=43 Succeeded, w=95\",\"Find(0)=0, Find(6)=3, Add (0,6)=48 Succeeded, w=143\",\"Find(4)=3, Find(6)=3, Add (4,6)=48 Failed, w=143\",\"Find(1)=3, Find(3)=3, Add (1,3)=49 Failed, w=143\",\"Find(5)=5, Find(6)=3, Add (5,6)=51 Succeeded, w=194\",\"Find(0)=3, Find(5)=3, Add (0,5)=63 Failed, w=194\",\"Find(4)=3, Find(5)=3, Add (4,5)=63 Failed, w=194\",\"Find(1)=3, Find(6)=3, Add (1,6)=66 Failed, w=194\",\"Find(2)=3, Find(4)=3, Add (2,4)=67 Failed, w=194\",\"Find(0)=3, Find(3)=3, Add (0,3)=70 Failed, w=194\",\"Find(0)=3, Find(4)=3, Add (0,4)=72 Failed, w=194\",\"Find(1)=3, Find(5)=3, Add (1,5)=80 Failed, w=194\",\"Find(0)=3, Find(1)=3, Add (0,1)=82 Failed, w=194\",\"Find(3)=3, Find(5)=3, Add (3,5)=98 Failed, w=194\"],\"Answer\":194}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,3,70],[0,4,72],[0,5,63],[0,6,48],[1,3,49],[1,4,5],[1,5,80],[1,6,66],[2,4,67],[2,6,25],[3,4,43],[3,5,98],[3,6,22],[4,5,63],[4,6,48],[5,6,51]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=5,(3,6)=22,(2,6)=25,(3,4)=43,(0,6)=48,(4,6)=48,(1,3)=49,(5,6)=51,(0,5)=63,(4,5)=63,(1,6)=66,(2,4)=67,(0,3)=70,(0,4)=72,(1,5)=80,(0,1)=82,(3,5)=98]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=22 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 1, 5: 5, 6: 3}, Find(2)=2, Find(6)=3, Add (2,6)=25 Succeeded, w=52\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 1, 5: 5, 6: 3}, Find(3)=3, Find(4)=1, Add (3,4)=43 Succeeded, w=95\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 1, 5: 5, 6: 3}, Find(0)=0, Find(6)=3, Add (0,6)=48 Succeeded, w=143\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=48 Failed, w=143\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=49 Failed, w=143\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=5, Find(6)=3, Add (5,6)=51 Succeeded, w=194\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=63 Failed, w=194\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=63 Failed, w=194\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=66 Failed, w=194\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=67 Failed, w=194\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=70 Failed, w=194\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=72 Failed, w=194\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=80 Failed, w=194\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=82 Failed, w=194\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(5)=3, Add (3,5)=98 Failed, w=194\"],\"Answer\":194}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,100],[0,5,19],[0,7,62],[1,2,30],[1,4,0],[1,5,10],[1,7,52],[2,4,3],[2,6,92],[2,7,28],[3,5,34],[3,6,3],[3,7,5],[4,5,47],[4,6,36],[4,7,21],[5,6,79],[6,7,5]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,5,19],[0,7,62],[1,2,30],[1,4,0],[1,5,10],[1,7,52],[2,4,3],[2,6,92],[2,7,28],[3,5,34],[3,6,3],[3,7,5],[4,5,47],[4,6,36],[4,7,21],[5,6,79],[6,7,5]]}", "role": "user" }, { "content": "{\"Answer\":61}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,5,19],[0,7,62],[1,2,30],[1,4,0],[1,5,10],[1,7,52],[2,4,3],[2,6,92],[2,7,28],[3,5,34],[3,6,3],[3,7,5],[4,5,47],[4,6,36],[4,7,21],[5,6,79],[6,7,5]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)\",\"Add (2,4)\",\"Add (3,6)\",\"Add (3,7)\",\"Add (1,5)\",\"Add (0,5)\",\"Add (4,7)\"],\"Answer\":61}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,5,19],[0,7,62],[1,2,30],[1,4,0],[1,5,10],[1,7,52],[2,4,3],[2,6,92],[2,7,28],[3,5,34],[3,6,3],[3,7,5],[4,5,47],[4,6,36],[4,7,21],[5,6,79],[6,7,5]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (2,4)=3, w=3\",\"Add (3,6)=3, w=6\",\"Add (3,7)=5, w=11\",\"Add (1,5)=10, w=21\",\"Add (0,5)=19, w=40\",\"Add (4,7)=21, w=61\"],\"Answer\":61}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,5,19],[0,7,62],[1,2,30],[1,4,0],[1,5,10],[1,7,52],[2,4,3],[2,6,92],[2,7,28],[3,5,34],[3,6,3],[3,7,5],[4,5,47],[4,6,36],[4,7,21],[5,6,79],[6,7,5]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (2,4)=3 Succeeded, w=3\",\"Add (3,6)=3 Succeeded, w=6\",\"Add (3,7)=5 Succeeded, w=11\",\"Add (6,7)=5 Failed, w=11\",\"Add (1,5)=10 Succeeded, w=21\",\"Add (0,5)=19 Succeeded, w=40\",\"Add (4,7)=21 Succeeded, w=61\",\"Add (2,7)=28 Failed, w=61\",\"Add (1,2)=30 Failed, w=61\",\"Add (3,5)=34 Failed, w=61\",\"Add (4,6)=36 Failed, w=61\",\"Add (4,5)=47 Failed, w=61\",\"Add (1,7)=52 Failed, w=61\",\"Add (0,7)=62 Failed, w=61\",\"Add (5,6)=79 Failed, w=61\",\"Add (2,6)=92 Failed, w=61\",\"Add (0,1)=100 Failed, w=61\"],\"Answer\":61}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,5,19],[0,7,62],[1,2,30],[1,4,0],[1,5,10],[1,7,52],[2,4,3],[2,6,92],[2,7,28],[3,5,34],[3,6,3],[3,7,5],[4,5,47],[4,6,36],[4,7,21],[5,6,79],[6,7,5]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=0,(2,4)=3,(3,6)=3,(3,7)=5,(6,7)=5,(1,5)=10,(0,5)=19,(4,7)=21,(2,7)=28,(1,2)=30,(3,5)=34,(4,6)=36,(4,5)=47,(1,7)=52,(0,7)=62,(5,6)=79,(2,6)=92,(0,1)=100]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(2)=2, Find(4)=1, Add (2,4)=3 Succeeded, w=3\",\"Find(3)=3, Find(6)=6, Add (3,6)=3 Succeeded, w=6\",\"Find(3)=3, Find(7)=7, Add (3,7)=5 Succeeded, w=11\",\"Find(6)=3, Find(7)=3, Add (6,7)=5 Failed, w=11\",\"Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=21\",\"Find(0)=0, Find(5)=1, Add (0,5)=19 Succeeded, w=40\",\"Find(4)=1, Find(7)=3, Add (4,7)=21 Succeeded, w=61\",\"Find(2)=1, Find(7)=1, Add (2,7)=28 Failed, w=61\",\"Find(1)=1, Find(2)=1, Add (1,2)=30 Failed, w=61\",\"Find(3)=1, Find(5)=1, Add (3,5)=34 Failed, w=61\",\"Find(4)=1, Find(6)=1, Add (4,6)=36 Failed, w=61\",\"Find(4)=1, Find(5)=1, Add (4,5)=47 Failed, w=61\",\"Find(1)=1, Find(7)=1, Add (1,7)=52 Failed, w=61\",\"Find(0)=1, Find(7)=1, Add (0,7)=62 Failed, w=61\",\"Find(5)=1, Find(6)=1, Add (5,6)=79 Failed, w=61\",\"Find(2)=1, Find(6)=1, Add (2,6)=92 Failed, w=61\",\"Find(0)=1, Find(1)=1, Add (0,1)=100 Failed, w=61\"],\"Answer\":61}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,5,19],[0,7,62],[1,2,30],[1,4,0],[1,5,10],[1,7,52],[2,4,3],[2,6,92],[2,7,28],[3,5,34],[3,6,3],[3,7,5],[4,5,47],[4,6,36],[4,7,21],[5,6,79],[6,7,5]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=0,(2,4)=3,(3,6)=3,(3,7)=5,(6,7)=5,(1,5)=10,(0,5)=19,(4,7)=21,(2,7)=28,(1,2)=30,(3,5)=34,(4,6)=36,(4,5)=47,(1,7)=52,(0,7)=62,(5,6)=79,(2,6)=92,(0,1)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=1, Add (2,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=3 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 3, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=5 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 3, 7: 3}, Find(6)=3, Find(7)=3, Add (6,7)=5 Failed, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 3, 7: 3}, Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=21\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 3, 7: 3}, Find(0)=0, Find(5)=1, Add (0,5)=19 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 3}, Find(4)=1, Find(7)=3, Add (4,7)=21 Succeeded, w=61\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=28 Failed, w=61\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=30 Failed, w=61\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=34 Failed, w=61\",\"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)=36 Failed, w=61\",\"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)=47 Failed, w=61\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=52 Failed, w=61\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=62 Failed, w=61\",\"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)=79 Failed, w=61\",\"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)=92 Failed, w=61\",\"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)=100 Failed, w=61\"],\"Answer\":61}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,26],[0,2,0],[0,3,66],[0,4,0],[0,5,56],[1,2,86],[1,3,81],[1,4,22],[1,5,0],[2,4,97],[2,5,99],[3,4,91],[3,5,89]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,0],[0,3,66],[0,4,0],[0,5,56],[1,2,86],[1,3,81],[1,4,22],[1,5,0],[2,4,97],[2,5,99],[3,4,91],[3,5,89]]}", "role": "user" }, { "content": "{\"Answer\":88}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,0],[0,3,66],[0,4,0],[0,5,56],[1,2,86],[1,3,81],[1,4,22],[1,5,0],[2,4,97],[2,5,99],[3,4,91],[3,5,89]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (0,4)\",\"Add (1,5)\",\"Add (1,4)\",\"Add (0,3)\"],\"Answer\":88}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,0],[0,3,66],[0,4,0],[0,5,56],[1,2,86],[1,3,81],[1,4,22],[1,5,0],[2,4,97],[2,5,99],[3,4,91],[3,5,89]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=0, w=0\",\"Add (0,4)=0, w=0\",\"Add (1,5)=0, w=0\",\"Add (1,4)=22, w=22\",\"Add (0,3)=66, w=88\"],\"Answer\":88}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,0],[0,3,66],[0,4,0],[0,5,56],[1,2,86],[1,3,81],[1,4,22],[1,5,0],[2,4,97],[2,5,99],[3,4,91],[3,5,89]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=0 Succeeded, w=0\",\"Add (0,4)=0 Succeeded, w=0\",\"Add (1,5)=0 Succeeded, w=0\",\"Add (1,4)=22 Succeeded, w=22\",\"Add (0,1)=26 Failed, w=22\",\"Add (0,5)=56 Failed, w=22\",\"Add (0,3)=66 Succeeded, w=88\",\"Add (1,3)=81 Failed, w=88\",\"Add (1,2)=86 Failed, w=88\",\"Add (3,5)=89 Failed, w=88\",\"Add (3,4)=91 Failed, w=88\",\"Add (2,4)=97 Failed, w=88\",\"Add (2,5)=99 Failed, w=88\"],\"Answer\":88}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,0],[0,3,66],[0,4,0],[0,5,56],[1,2,86],[1,3,81],[1,4,22],[1,5,0],[2,4,97],[2,5,99],[3,4,91],[3,5,89]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=0,(0,4)=0,(1,5)=0,(1,4)=22,(0,1)=26,(0,5)=56,(0,3)=66,(1,3)=81,(1,2)=86,(3,5)=89,(3,4)=91,(2,4)=97,(2,5)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Find(1)=1, Find(4)=0, Add (1,4)=22 Succeeded, w=22\",\"Find(0)=1, Find(1)=1, Add (0,1)=26 Failed, w=22\",\"Find(0)=1, Find(5)=1, Add (0,5)=56 Failed, w=22\",\"Find(0)=1, Find(3)=3, Add (0,3)=66 Succeeded, w=88\",\"Find(1)=1, Find(3)=1, Add (1,3)=81 Failed, w=88\",\"Find(1)=1, Find(2)=1, Add (1,2)=86 Failed, w=88\",\"Find(3)=1, Find(5)=1, Add (3,5)=89 Failed, w=88\",\"Find(3)=1, Find(4)=1, Add (3,4)=91 Failed, w=88\",\"Find(2)=1, Find(4)=1, Add (2,4)=97 Failed, w=88\",\"Find(2)=1, Find(5)=1, Add (2,5)=99 Failed, w=88\"],\"Answer\":88}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,0],[0,3,66],[0,4,0],[0,5,56],[1,2,86],[1,3,81],[1,4,22],[1,5,0],[2,4,97],[2,5,99],[3,4,91],[3,5,89]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=0,(0,4)=0,(1,5)=0,(1,4)=22,(0,1)=26,(0,5)=56,(0,3)=66,(1,3)=81,(1,2)=86,(3,5)=89,(3,4)=91,(2,4)=97,(2,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 3, 4: 0, 5: 1}, Find(1)=1, Find(4)=0, Add (1,4)=22 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 3, 4: 0, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=26 Failed, w=22\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 3, 4: 0, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=56 Failed, w=22\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 0, 5: 1}, Find(0)=1, Find(3)=3, Add (0,3)=66 Succeeded, w=88\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 0, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=81 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=86 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=89 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=91 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=97 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=99 Failed, w=88\"],\"Answer\":88}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,44],[0,2,24],[0,3,3],[1,2,29],[1,3,26],[2,3,4]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,24],[0,3,3],[1,2,29],[1,3,26],[2,3,4]]}", "role": "user" }, { "content": "{\"Answer\":33}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,24],[0,3,3],[1,2,29],[1,3,26],[2,3,4]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":33}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,24],[0,3,3],[1,2,29],[1,3,26],[2,3,4]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=3, w=3\",\"Add (2,3)=4, w=7\",\"Add (1,3)=26, w=33\"],\"Answer\":33}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,24],[0,3,3],[1,2,29],[1,3,26],[2,3,4]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=3 Succeeded, w=3\",\"Add (2,3)=4 Succeeded, w=7\",\"Add (0,2)=24 Failed, w=7\",\"Add (1,3)=26 Succeeded, w=33\",\"Add (1,2)=29 Failed, w=33\",\"Add (0,1)=44 Failed, w=33\"],\"Answer\":33}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,24],[0,3,3],[1,2,29],[1,3,26],[2,3,4]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=3,(2,3)=4,(0,2)=24,(1,3)=26,(1,2)=29,(0,1)=44]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(2)=2, Find(3)=0, Add (2,3)=4 Succeeded, w=7\",\"Find(0)=0, Find(2)=0, Add (0,2)=24 Failed, w=7\",\"Find(1)=1, Find(3)=0, Add (1,3)=26 Succeeded, w=33\",\"Find(1)=0, Find(2)=0, Add (1,2)=29 Failed, w=33\",\"Find(0)=0, Find(1)=0, Add (0,1)=44 Failed, w=33\"],\"Answer\":33}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,24],[0,3,3],[1,2,29],[1,3,26],[2,3,4]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=3,(2,3)=4,(0,2)=24,(1,3)=26,(1,2)=29,(0,1)=44]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=24 Failed, w=7\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=26 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=29 Failed, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=44 Failed, w=33\"],\"Answer\":33}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,0],[0,3,30],[0,4,71],[1,2,99],[1,3,29],[1,4,16],[2,3,71],[2,4,4],[3,4,99]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,0],[0,3,30],[0,4,71],[1,2,99],[1,3,29],[1,4,16],[2,3,71],[2,4,4],[3,4,99]]}", "role": "user" }, { "content": "{\"Answer\":49}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,0],[0,3,30],[0,4,71],[1,2,99],[1,3,29],[1,4,16],[2,3,71],[2,4,4],[3,4,99]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (2,4)\",\"Add (1,4)\",\"Add (1,3)\"],\"Answer\":49}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,0],[0,3,30],[0,4,71],[1,2,99],[1,3,29],[1,4,16],[2,3,71],[2,4,4],[3,4,99]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=0, w=0\",\"Add (2,4)=4, w=4\",\"Add (1,4)=16, w=20\",\"Add (1,3)=29, w=49\"],\"Answer\":49}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,0],[0,3,30],[0,4,71],[1,2,99],[1,3,29],[1,4,16],[2,3,71],[2,4,4],[3,4,99]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=0 Succeeded, w=0\",\"Add (2,4)=4 Succeeded, w=4\",\"Add (1,4)=16 Succeeded, w=20\",\"Add (1,3)=29 Succeeded, w=49\",\"Add (0,3)=30 Failed, w=49\",\"Add (0,4)=71 Failed, w=49\",\"Add (2,3)=71 Failed, w=49\",\"Add (1,2)=99 Failed, w=49\",\"Add (3,4)=99 Failed, w=49\"],\"Answer\":49}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,0],[0,3,30],[0,4,71],[1,2,99],[1,3,29],[1,4,16],[2,3,71],[2,4,4],[3,4,99]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=0,(2,4)=4,(1,4)=16,(1,3)=29,(0,3)=30,(0,4)=71,(2,3)=71,(1,2)=99,(3,4)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Find(2)=0, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Find(1)=1, Find(4)=0, Add (1,4)=16 Succeeded, w=20\",\"Find(1)=0, Find(3)=3, Add (1,3)=29 Succeeded, w=49\",\"Find(0)=0, Find(3)=0, Add (0,3)=30 Failed, w=49\",\"Find(0)=0, Find(4)=0, Add (0,4)=71 Failed, w=49\",\"Find(2)=0, Find(3)=0, Add (2,3)=71 Failed, w=49\",\"Find(1)=0, Find(2)=0, Add (1,2)=99 Failed, w=49\",\"Find(3)=0, Find(4)=0, Add (3,4)=99 Failed, w=49\"],\"Answer\":49}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,0],[0,3,30],[0,4,71],[1,2,99],[1,3,29],[1,4,16],[2,3,71],[2,4,4],[3,4,99]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=0,(2,4)=4,(1,4)=16,(1,3)=29,(0,3)=30,(0,4)=71,(2,3)=71,(1,2)=99,(3,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=16 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=3, Add (1,3)=29 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=30 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=71 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=71 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=99 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=99 Failed, w=49\"],\"Answer\":49}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,72],[0,2,87],[0,3,65],[0,4,69],[0,5,65],[1,2,84],[1,3,93],[1,4,82],[1,5,39],[2,3,36],[2,4,31],[3,4,27],[3,5,58],[4,5,89]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,87],[0,3,65],[0,4,69],[0,5,65],[1,2,84],[1,3,93],[1,4,82],[1,5,39],[2,3,36],[2,4,31],[3,4,27],[3,5,58],[4,5,89]]}", "role": "user" }, { "content": "{\"Answer\":220}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,87],[0,3,65],[0,4,69],[0,5,65],[1,2,84],[1,3,93],[1,4,82],[1,5,39],[2,3,36],[2,4,31],[3,4,27],[3,5,58],[4,5,89]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)\",\"Add (2,4)\",\"Add (1,5)\",\"Add (3,5)\",\"Add (0,3)\"],\"Answer\":220}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,87],[0,3,65],[0,4,69],[0,5,65],[1,2,84],[1,3,93],[1,4,82],[1,5,39],[2,3,36],[2,4,31],[3,4,27],[3,5,58],[4,5,89]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=27, w=27\",\"Add (2,4)=31, w=58\",\"Add (1,5)=39, w=97\",\"Add (3,5)=58, w=155\",\"Add (0,3)=65, w=220\"],\"Answer\":220}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,87],[0,3,65],[0,4,69],[0,5,65],[1,2,84],[1,3,93],[1,4,82],[1,5,39],[2,3,36],[2,4,31],[3,4,27],[3,5,58],[4,5,89]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=27 Succeeded, w=27\",\"Add (2,4)=31 Succeeded, w=58\",\"Add (2,3)=36 Failed, w=58\",\"Add (1,5)=39 Succeeded, w=97\",\"Add (3,5)=58 Succeeded, w=155\",\"Add (0,3)=65 Succeeded, w=220\",\"Add (0,5)=65 Failed, w=220\",\"Add (0,4)=69 Failed, w=220\",\"Add (0,1)=72 Failed, w=220\",\"Add (1,4)=82 Failed, w=220\",\"Add (1,2)=84 Failed, w=220\",\"Add (0,2)=87 Failed, w=220\",\"Add (4,5)=89 Failed, w=220\",\"Add (1,3)=93 Failed, w=220\"],\"Answer\":220}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,87],[0,3,65],[0,4,69],[0,5,65],[1,2,84],[1,3,93],[1,4,82],[1,5,39],[2,3,36],[2,4,31],[3,4,27],[3,5,58],[4,5,89]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=27,(2,4)=31,(2,3)=36,(1,5)=39,(3,5)=58,(0,3)=65,(0,5)=65,(0,4)=69,(0,1)=72,(1,4)=82,(1,2)=84,(0,2)=87,(4,5)=89,(1,3)=93]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=27 Succeeded, w=27\",\"Find(2)=2, Find(4)=3, Add (2,4)=31 Succeeded, w=58\",\"Find(2)=3, Find(3)=3, Add (2,3)=36 Failed, w=58\",\"Find(1)=1, Find(5)=5, Add (1,5)=39 Succeeded, w=97\",\"Find(3)=3, Find(5)=1, Add (3,5)=58 Succeeded, w=155\",\"Find(0)=0, Find(3)=3, Add (0,3)=65 Succeeded, w=220\",\"Find(0)=3, Find(5)=3, Add (0,5)=65 Failed, w=220\",\"Find(0)=3, Find(4)=3, Add (0,4)=69 Failed, w=220\",\"Find(0)=3, Find(1)=3, Add (0,1)=72 Failed, w=220\",\"Find(1)=3, Find(4)=3, Add (1,4)=82 Failed, w=220\",\"Find(1)=3, Find(2)=3, Add (1,2)=84 Failed, w=220\",\"Find(0)=3, Find(2)=3, Add (0,2)=87 Failed, w=220\",\"Find(4)=3, Find(5)=3, Add (4,5)=89 Failed, w=220\",\"Find(1)=3, Find(3)=3, Add (1,3)=93 Failed, w=220\"],\"Answer\":220}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,87],[0,3,65],[0,4,69],[0,5,65],[1,2,84],[1,3,93],[1,4,82],[1,5,39],[2,3,36],[2,4,31],[3,4,27],[3,5,58],[4,5,89]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=27,(2,4)=31,(2,3)=36,(1,5)=39,(3,5)=58,(0,3)=65,(0,5)=65,(0,4)=69,(0,1)=72,(1,4)=82,(1,2)=84,(0,2)=87,(4,5)=89,(1,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5}, Find(2)=2, Find(4)=3, Add (2,4)=31 Succeeded, w=58\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5}, Find(2)=3, Find(3)=3, Add (2,3)=36 Failed, w=58\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=39 Succeeded, w=97\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1}, Find(3)=3, Find(5)=1, Add (3,5)=58 Succeeded, w=155\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1}, Find(0)=0, Find(3)=3, Add (0,3)=65 Succeeded, w=220\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=65 Failed, w=220\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=69 Failed, w=220\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(1)=3, Add (0,1)=72 Failed, w=220\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=82 Failed, w=220\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(2)=3, Add (1,2)=84 Failed, w=220\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=87 Failed, w=220\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=89 Failed, w=220\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(3)=3, Add (1,3)=93 Failed, w=220\"],\"Answer\":220}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,12],[0,2,32],[0,4,33],[0,5,98],[1,2,67],[1,3,70],[1,4,23],[1,5,69],[2,3,76],[2,4,69],[2,5,16],[3,4,35],[3,5,83]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,12],[0,2,32],[0,4,33],[0,5,98],[1,2,67],[1,3,70],[1,4,23],[1,5,69],[2,3,76],[2,4,69],[2,5,16],[3,4,35],[3,5,83]]}", "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\":[[0,1,12],[0,2,32],[0,4,33],[0,5,98],[1,2,67],[1,3,70],[1,4,23],[1,5,69],[2,3,76],[2,4,69],[2,5,16],[3,4,35],[3,5,83]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (2,5)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (3,4)\"],\"Answer\":118}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,12],[0,2,32],[0,4,33],[0,5,98],[1,2,67],[1,3,70],[1,4,23],[1,5,69],[2,3,76],[2,4,69],[2,5,16],[3,4,35],[3,5,83]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=12, w=12\",\"Add (2,5)=16, w=28\",\"Add (1,4)=23, w=51\",\"Add (0,2)=32, w=83\",\"Add (3,4)=35, 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\":[[0,1,12],[0,2,32],[0,4,33],[0,5,98],[1,2,67],[1,3,70],[1,4,23],[1,5,69],[2,3,76],[2,4,69],[2,5,16],[3,4,35],[3,5,83]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=12 Succeeded, w=12\",\"Add (2,5)=16 Succeeded, w=28\",\"Add (1,4)=23 Succeeded, w=51\",\"Add (0,2)=32 Succeeded, w=83\",\"Add (0,4)=33 Failed, w=83\",\"Add (3,4)=35 Succeeded, w=118\",\"Add (1,2)=67 Failed, w=118\",\"Add (1,5)=69 Failed, w=118\",\"Add (2,4)=69 Failed, w=118\",\"Add (1,3)=70 Failed, w=118\",\"Add (2,3)=76 Failed, w=118\",\"Add (3,5)=83 Failed, w=118\",\"Add (0,5)=98 Failed, 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\":[[0,1,12],[0,2,32],[0,4,33],[0,5,98],[1,2,67],[1,3,70],[1,4,23],[1,5,69],[2,3,76],[2,4,69],[2,5,16],[3,4,35],[3,5,83]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=12,(2,5)=16,(1,4)=23,(0,2)=32,(0,4)=33,(3,4)=35,(1,2)=67,(1,5)=69,(2,4)=69,(1,3)=70,(2,3)=76,(3,5)=83,(0,5)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=12\",\"Find(2)=2, Find(5)=5, Add (2,5)=16 Succeeded, w=28\",\"Find(1)=0, Find(4)=4, Add (1,4)=23 Succeeded, w=51\",\"Find(0)=0, Find(2)=2, Add (0,2)=32 Succeeded, w=83\",\"Find(0)=0, Find(4)=0, Add (0,4)=33 Failed, w=83\",\"Find(3)=3, Find(4)=0, Add (3,4)=35 Succeeded, w=118\",\"Find(1)=0, Find(2)=0, Add (1,2)=67 Failed, w=118\",\"Find(1)=0, Find(5)=0, Add (1,5)=69 Failed, w=118\",\"Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=118\",\"Find(1)=0, Find(3)=0, Add (1,3)=70 Failed, w=118\",\"Find(2)=0, Find(3)=0, Add (2,3)=76 Failed, w=118\",\"Find(3)=0, Find(5)=0, Add (3,5)=83 Failed, w=118\",\"Find(0)=0, Find(5)=0, Add (0,5)=98 Failed, 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\":[[0,1,12],[0,2,32],[0,4,33],[0,5,98],[1,2,67],[1,3,70],[1,4,23],[1,5,69],[2,3,76],[2,4,69],[2,5,16],[3,4,35],[3,5,83]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=12,(2,5)=16,(1,4)=23,(0,2)=32,(0,4)=33,(3,4)=35,(1,2)=67,(1,5)=69,(2,4)=69,(1,3)=70,(2,3)=76,(3,5)=83,(0,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=16 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 2}, Find(1)=0, Find(4)=4, Add (1,4)=23 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=32 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 2}, Find(0)=0, Find(4)=0, Add (0,4)=33 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(3)=3, Find(4)=0, Add (3,4)=35 Succeeded, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(1)=0, Find(2)=0, Add (1,2)=67 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=69 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=70 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=76 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=83 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=98 Failed, w=118\"],\"Answer\":118}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,61],[0,3,5],[1,3,73],[2,3,79]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,61],[0,3,5],[1,3,73],[2,3,79]]}", "role": "user" }, { "content": "{\"Answer\":139}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,61],[0,3,5],[1,3,73],[2,3,79]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":139}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,61],[0,3,5],[1,3,73],[2,3,79]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=5, w=5\",\"Add (0,2)=61, w=66\",\"Add (1,3)=73, w=139\"],\"Answer\":139}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,61],[0,3,5],[1,3,73],[2,3,79]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=5 Succeeded, w=5\",\"Add (0,2)=61 Succeeded, w=66\",\"Add (1,3)=73 Succeeded, w=139\",\"Add (2,3)=79 Failed, w=139\"],\"Answer\":139}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,61],[0,3,5],[1,3,73],[2,3,79]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=5,(0,2)=61,(1,3)=73,(2,3)=79]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Find(0)=0, Find(2)=2, Add (0,2)=61 Succeeded, w=66\",\"Find(1)=1, Find(3)=0, Add (1,3)=73 Succeeded, w=139\",\"Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=139\"],\"Answer\":139}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,61],[0,3,5],[1,3,73],[2,3,79]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=5,(0,2)=61,(1,3)=73,(2,3)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=61 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=73 Succeeded, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=139\"],\"Answer\":139}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,58],[0,2,27],[0,5,11],[1,2,62],[1,3,0],[1,4,70],[1,5,37],[2,3,45],[2,4,8],[2,5,8],[3,5,76],[4,5,11]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,2,27],[0,5,11],[1,2,62],[1,3,0],[1,4,70],[1,5,37],[2,3,45],[2,4,8],[2,5,8],[3,5,76],[4,5,11]]}", "role": "user" }, { "content": "{\"Answer\":64}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,2,27],[0,5,11],[1,2,62],[1,3,0],[1,4,70],[1,5,37],[2,3,45],[2,4,8],[2,5,8],[3,5,76],[4,5,11]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (2,4)\",\"Add (2,5)\",\"Add (0,5)\",\"Add (1,5)\"],\"Answer\":64}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,2,27],[0,5,11],[1,2,62],[1,3,0],[1,4,70],[1,5,37],[2,3,45],[2,4,8],[2,5,8],[3,5,76],[4,5,11]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (2,4)=8, w=8\",\"Add (2,5)=8, w=16\",\"Add (0,5)=11, w=27\",\"Add (1,5)=37, w=64\"],\"Answer\":64}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,2,27],[0,5,11],[1,2,62],[1,3,0],[1,4,70],[1,5,37],[2,3,45],[2,4,8],[2,5,8],[3,5,76],[4,5,11]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (2,4)=8 Succeeded, w=8\",\"Add (2,5)=8 Succeeded, w=16\",\"Add (0,5)=11 Succeeded, w=27\",\"Add (4,5)=11 Failed, w=27\",\"Add (0,2)=27 Failed, w=27\",\"Add (1,5)=37 Succeeded, w=64\",\"Add (2,3)=45 Failed, w=64\",\"Add (0,1)=58 Failed, w=64\",\"Add (1,2)=62 Failed, w=64\",\"Add (1,4)=70 Failed, w=64\",\"Add (3,5)=76 Failed, w=64\"],\"Answer\":64}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,2,27],[0,5,11],[1,2,62],[1,3,0],[1,4,70],[1,5,37],[2,3,45],[2,4,8],[2,5,8],[3,5,76],[4,5,11]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=0,(2,4)=8,(2,5)=8,(0,5)=11,(4,5)=11,(0,2)=27,(1,5)=37,(2,3)=45,(0,1)=58,(1,2)=62,(1,4)=70,(3,5)=76]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=8\",\"Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=16\",\"Find(0)=0, Find(5)=2, Add (0,5)=11 Succeeded, w=27\",\"Find(4)=2, Find(5)=2, Add (4,5)=11 Failed, w=27\",\"Find(0)=2, Find(2)=2, Add (0,2)=27 Failed, w=27\",\"Find(1)=1, Find(5)=2, Add (1,5)=37 Succeeded, w=64\",\"Find(2)=1, Find(3)=1, Add (2,3)=45 Failed, w=64\",\"Find(0)=1, Find(1)=1, Add (0,1)=58 Failed, w=64\",\"Find(1)=1, Find(2)=1, Add (1,2)=62 Failed, w=64\",\"Find(1)=1, Find(4)=1, Add (1,4)=70 Failed, w=64\",\"Find(3)=1, Find(5)=1, Add (3,5)=76 Failed, w=64\"],\"Answer\":64}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,2,27],[0,5,11],[1,2,62],[1,3,0],[1,4,70],[1,5,37],[2,3,45],[2,4,8],[2,5,8],[3,5,76],[4,5,11]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=0,(2,4)=8,(2,5)=8,(0,5)=11,(4,5)=11,(0,2)=27,(1,5)=37,(2,3)=45,(0,1)=58,(1,2)=62,(1,4)=70,(3,5)=76]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=16\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2}, Find(0)=0, Find(5)=2, Add (0,5)=11 Succeeded, w=27\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=11 Failed, w=27\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=27 Failed, w=27\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=37 Succeeded, w=64\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2}, Find(2)=1, Find(3)=1, Add (2,3)=45 Failed, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2}, Find(0)=1, Find(1)=1, Add (0,1)=58 Failed, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2}, Find(1)=1, Find(2)=1, Add (1,2)=62 Failed, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2}, Find(1)=1, Find(4)=1, Add (1,4)=70 Failed, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=76 Failed, w=64\"],\"Answer\":64}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,75],[0,2,68],[0,3,0],[0,4,13],[0,5,87],[1,2,49],[1,3,76],[1,4,39],[1,5,90],[2,3,40],[2,4,49],[2,5,11],[3,4,100],[3,5,36],[4,5,62]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,68],[0,3,0],[0,4,13],[0,5,87],[1,2,49],[1,3,76],[1,4,39],[1,5,90],[2,3,40],[2,4,49],[2,5,11],[3,4,100],[3,5,36],[4,5,62]]}", "role": "user" }, { "content": "{\"Answer\":99}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,68],[0,3,0],[0,4,13],[0,5,87],[1,2,49],[1,3,76],[1,4,39],[1,5,90],[2,3,40],[2,4,49],[2,5,11],[3,4,100],[3,5,36],[4,5,62]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (2,5)\",\"Add (0,4)\",\"Add (3,5)\",\"Add (1,4)\"],\"Answer\":99}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,68],[0,3,0],[0,4,13],[0,5,87],[1,2,49],[1,3,76],[1,4,39],[1,5,90],[2,3,40],[2,4,49],[2,5,11],[3,4,100],[3,5,36],[4,5,62]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (2,5)=11, w=11\",\"Add (0,4)=13, w=24\",\"Add (3,5)=36, w=60\",\"Add (1,4)=39, w=99\"],\"Answer\":99}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,68],[0,3,0],[0,4,13],[0,5,87],[1,2,49],[1,3,76],[1,4,39],[1,5,90],[2,3,40],[2,4,49],[2,5,11],[3,4,100],[3,5,36],[4,5,62]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (2,5)=11 Succeeded, w=11\",\"Add (0,4)=13 Succeeded, w=24\",\"Add (3,5)=36 Succeeded, w=60\",\"Add (1,4)=39 Succeeded, w=99\",\"Add (2,3)=40 Failed, w=99\",\"Add (1,2)=49 Failed, w=99\",\"Add (2,4)=49 Failed, w=99\",\"Add (4,5)=62 Failed, w=99\",\"Add (0,2)=68 Failed, w=99\",\"Add (0,1)=75 Failed, w=99\",\"Add (1,3)=76 Failed, w=99\",\"Add (0,5)=87 Failed, w=99\",\"Add (1,5)=90 Failed, w=99\",\"Add (3,4)=100 Failed, w=99\"],\"Answer\":99}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,68],[0,3,0],[0,4,13],[0,5,87],[1,2,49],[1,3,76],[1,4,39],[1,5,90],[2,3,40],[2,4,49],[2,5,11],[3,4,100],[3,5,36],[4,5,62]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=0,(2,5)=11,(0,4)=13,(3,5)=36,(1,4)=39,(2,3)=40,(1,2)=49,(2,4)=49,(4,5)=62,(0,2)=68,(0,1)=75,(1,3)=76,(0,5)=87,(1,5)=90,(3,4)=100]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=11\",\"Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=24\",\"Find(3)=0, Find(5)=2, Add (3,5)=36 Succeeded, w=60\",\"Find(1)=1, Find(4)=0, Add (1,4)=39 Succeeded, w=99\",\"Find(2)=0, Find(3)=0, Add (2,3)=40 Failed, w=99\",\"Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=99\",\"Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=99\",\"Find(4)=0, Find(5)=0, Add (4,5)=62 Failed, w=99\",\"Find(0)=0, Find(2)=0, Add (0,2)=68 Failed, w=99\",\"Find(0)=0, Find(1)=0, Add (0,1)=75 Failed, w=99\",\"Find(1)=0, Find(3)=0, Add (1,3)=76 Failed, w=99\",\"Find(0)=0, Find(5)=0, Add (0,5)=87 Failed, w=99\",\"Find(1)=0, Find(5)=0, Add (1,5)=90 Failed, w=99\",\"Find(3)=0, Find(4)=0, Add (3,4)=100 Failed, w=99\"],\"Answer\":99}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,68],[0,3,0],[0,4,13],[0,5,87],[1,2,49],[1,3,76],[1,4,39],[1,5,90],[2,3,40],[2,4,49],[2,5,11],[3,4,100],[3,5,36],[4,5,62]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=0,(2,5)=11,(0,4)=13,(3,5)=36,(1,4)=39,(2,3)=40,(1,2)=49,(2,4)=49,(4,5)=62,(0,2)=68,(0,1)=75,(1,3)=76,(0,5)=87,(1,5)=90,(3,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 2}, Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 2}, Find(3)=0, Find(5)=2, Add (3,5)=36 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(1)=1, Find(4)=0, Add (1,4)=39 Succeeded, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(2)=0, Find(3)=0, Add (2,3)=40 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=62 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=68 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=75 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=76 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=87 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=90 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=100 Failed, w=99\"],\"Answer\":99}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,98],[0,3,72],[0,7,89],[1,3,47],[1,6,83],[1,7,81],[2,3,19],[2,4,74],[2,5,63],[2,6,57],[2,7,52],[3,4,63],[3,5,24],[3,6,65],[4,5,82],[4,6,0],[4,7,2],[5,6,49],[5,7,13],[6,7,17]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,3,72],[0,7,89],[1,3,47],[1,6,83],[1,7,81],[2,3,19],[2,4,74],[2,5,63],[2,6,57],[2,7,52],[3,4,63],[3,5,24],[3,6,65],[4,5,82],[4,6,0],[4,7,2],[5,6,49],[5,7,13],[6,7,17]]}", "role": "user" }, { "content": "{\"Answer\":177}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,3,72],[0,7,89],[1,3,47],[1,6,83],[1,7,81],[2,3,19],[2,4,74],[2,5,63],[2,6,57],[2,7,52],[3,4,63],[3,5,24],[3,6,65],[4,5,82],[4,6,0],[4,7,2],[5,6,49],[5,7,13],[6,7,17]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,6)\",\"Add (4,7)\",\"Add (5,7)\",\"Add (2,3)\",\"Add (3,5)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":177}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,3,72],[0,7,89],[1,3,47],[1,6,83],[1,7,81],[2,3,19],[2,4,74],[2,5,63],[2,6,57],[2,7,52],[3,4,63],[3,5,24],[3,6,65],[4,5,82],[4,6,0],[4,7,2],[5,6,49],[5,7,13],[6,7,17]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,6)=0, w=0\",\"Add (4,7)=2, w=2\",\"Add (5,7)=13, w=15\",\"Add (2,3)=19, w=34\",\"Add (3,5)=24, w=58\",\"Add (1,3)=47, w=105\",\"Add (0,3)=72, w=177\"],\"Answer\":177}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,3,72],[0,7,89],[1,3,47],[1,6,83],[1,7,81],[2,3,19],[2,4,74],[2,5,63],[2,6,57],[2,7,52],[3,4,63],[3,5,24],[3,6,65],[4,5,82],[4,6,0],[4,7,2],[5,6,49],[5,7,13],[6,7,17]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,6)=0 Succeeded, w=0\",\"Add (4,7)=2 Succeeded, w=2\",\"Add (5,7)=13 Succeeded, w=15\",\"Add (6,7)=17 Failed, w=15\",\"Add (2,3)=19 Succeeded, w=34\",\"Add (3,5)=24 Succeeded, w=58\",\"Add (1,3)=47 Succeeded, w=105\",\"Add (5,6)=49 Failed, w=105\",\"Add (2,7)=52 Failed, w=105\",\"Add (2,6)=57 Failed, w=105\",\"Add (2,5)=63 Failed, w=105\",\"Add (3,4)=63 Failed, w=105\",\"Add (3,6)=65 Failed, w=105\",\"Add (0,3)=72 Succeeded, w=177\",\"Add (2,4)=74 Failed, w=177\",\"Add (1,7)=81 Failed, w=177\",\"Add (4,5)=82 Failed, w=177\",\"Add (1,6)=83 Failed, w=177\",\"Add (0,7)=89 Failed, w=177\",\"Add (0,1)=98 Failed, w=177\"],\"Answer\":177}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,3,72],[0,7,89],[1,3,47],[1,6,83],[1,7,81],[2,3,19],[2,4,74],[2,5,63],[2,6,57],[2,7,52],[3,4,63],[3,5,24],[3,6,65],[4,5,82],[4,6,0],[4,7,2],[5,6,49],[5,7,13],[6,7,17]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(4,6)=0,(4,7)=2,(5,7)=13,(6,7)=17,(2,3)=19,(3,5)=24,(1,3)=47,(5,6)=49,(2,7)=52,(2,6)=57,(2,5)=63,(3,4)=63,(3,6)=65,(0,3)=72,(2,4)=74,(1,7)=81,(4,5)=82,(1,6)=83,(0,7)=89,(0,1)=98]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=0 Succeeded, w=0\",\"Find(4)=4, Find(7)=7, Add (4,7)=2 Succeeded, w=2\",\"Find(5)=5, Find(7)=4, Add (5,7)=13 Succeeded, w=15\",\"Find(6)=4, Find(7)=4, Add (6,7)=17 Failed, w=15\",\"Find(2)=2, Find(3)=3, Add (2,3)=19 Succeeded, w=34\",\"Find(3)=2, Find(5)=4, Add (3,5)=24 Succeeded, w=58\",\"Find(1)=1, Find(3)=2, Add (1,3)=47 Succeeded, w=105\",\"Find(5)=2, Find(6)=2, Add (5,6)=49 Failed, w=105\",\"Find(2)=2, Find(7)=2, Add (2,7)=52 Failed, w=105\",\"Find(2)=2, Find(6)=2, Add (2,6)=57 Failed, w=105\",\"Find(2)=2, Find(5)=2, Add (2,5)=63 Failed, w=105\",\"Find(3)=2, Find(4)=2, Add (3,4)=63 Failed, w=105\",\"Find(3)=2, Find(6)=2, Add (3,6)=65 Failed, w=105\",\"Find(0)=0, Find(3)=2, Add (0,3)=72 Succeeded, w=177\",\"Find(2)=2, Find(4)=2, Add (2,4)=74 Failed, w=177\",\"Find(1)=2, Find(7)=2, Add (1,7)=81 Failed, w=177\",\"Find(4)=2, Find(5)=2, Add (4,5)=82 Failed, w=177\",\"Find(1)=2, Find(6)=2, Add (1,6)=83 Failed, w=177\",\"Find(0)=2, Find(7)=2, Add (0,7)=89 Failed, w=177\",\"Find(0)=2, Find(1)=2, Add (0,1)=98 Failed, w=177\"],\"Answer\":177}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,3,72],[0,7,89],[1,3,47],[1,6,83],[1,7,81],[2,3,19],[2,4,74],[2,5,63],[2,6,57],[2,7,52],[3,4,63],[3,5,24],[3,6,65],[4,5,82],[4,6,0],[4,7,2],[5,6,49],[5,7,13],[6,7,17]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(4,6)=0,(4,7)=2,(5,7)=13,(6,7)=17,(2,3)=19,(3,5)=24,(1,3)=47,(5,6)=49,(2,7)=52,(2,6)=57,(2,5)=63,(3,4)=63,(3,6)=65,(0,3)=72,(2,4)=74,(1,7)=81,(4,5)=82,(1,6)=83,(0,7)=89,(0,1)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=5, Find(7)=4, Add (5,7)=13 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4, 7: 4}, Find(6)=4, Find(7)=4, Add (6,7)=17 Failed, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=2, Find(3)=3, Add (2,3)=19 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4, 6: 4, 7: 4}, Find(3)=2, Find(5)=4, Add (3,5)=24 Succeeded, w=58\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 4, 7: 4}, Find(1)=1, Find(3)=2, Add (1,3)=47 Succeeded, w=105\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 4}, Find(5)=2, Find(6)=2, Add (5,6)=49 Failed, w=105\",\"Parent: {0: 0, 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=105\",\"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)=57 Failed, w=105\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=63 Failed, w=105\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=63 Failed, w=105\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=65 Failed, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=0, Find(3)=2, Add (0,3)=72 Succeeded, w=177\",\"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)=74 Failed, w=177\",\"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)=81 Failed, w=177\",\"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)=82 Failed, w=177\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=83 Failed, w=177\",\"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)=89 Failed, w=177\",\"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)=98 Failed, w=177\"],\"Answer\":177}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,39],[0,2,43],[0,3,44],[0,4,14],[1,2,97],[1,3,2],[1,4,18],[2,3,94],[2,4,76],[3,4,48]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,43],[0,3,44],[0,4,14],[1,2,97],[1,3,2],[1,4,18],[2,3,94],[2,4,76],[3,4,48]]}", "role": "user" }, { "content": "{\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,43],[0,3,44],[0,4,14],[1,2,97],[1,3,2],[1,4,18],[2,3,94],[2,4,76],[3,4,48]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (0,4)\",\"Add (1,4)\",\"Add (0,2)\"],\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,43],[0,3,44],[0,4,14],[1,2,97],[1,3,2],[1,4,18],[2,3,94],[2,4,76],[3,4,48]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (0,4)=14, w=16\",\"Add (1,4)=18, w=34\",\"Add (0,2)=43, w=77\"],\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,43],[0,3,44],[0,4,14],[1,2,97],[1,3,2],[1,4,18],[2,3,94],[2,4,76],[3,4,48]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (0,4)=14 Succeeded, w=16\",\"Add (1,4)=18 Succeeded, w=34\",\"Add (0,1)=39 Failed, w=34\",\"Add (0,2)=43 Succeeded, w=77\",\"Add (0,3)=44 Failed, w=77\",\"Add (3,4)=48 Failed, w=77\",\"Add (2,4)=76 Failed, w=77\",\"Add (2,3)=94 Failed, w=77\",\"Add (1,2)=97 Failed, w=77\"],\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,43],[0,3,44],[0,4,14],[1,2,97],[1,3,2],[1,4,18],[2,3,94],[2,4,76],[3,4,48]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=2,(0,4)=14,(1,4)=18,(0,1)=39,(0,2)=43,(0,3)=44,(3,4)=48,(2,4)=76,(2,3)=94,(1,2)=97]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=16\",\"Find(1)=1, Find(4)=0, Add (1,4)=18 Succeeded, w=34\",\"Find(0)=1, Find(1)=1, Add (0,1)=39 Failed, w=34\",\"Find(0)=1, Find(2)=2, Add (0,2)=43 Succeeded, w=77\",\"Find(0)=1, Find(3)=1, Add (0,3)=44 Failed, w=77\",\"Find(3)=1, Find(4)=1, Add (3,4)=48 Failed, w=77\",\"Find(2)=1, Find(4)=1, Add (2,4)=76 Failed, w=77\",\"Find(2)=1, Find(3)=1, Add (2,3)=94 Failed, w=77\",\"Find(1)=1, Find(2)=1, Add (1,2)=97 Failed, w=77\"],\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,43],[0,3,44],[0,4,14],[1,2,97],[1,3,2],[1,4,18],[2,3,94],[2,4,76],[3,4,48]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=2,(0,4)=14,(1,4)=18,(0,1)=39,(0,2)=43,(0,3)=44,(3,4)=48,(2,4)=76,(2,3)=94,(1,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=16\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=18 Succeeded, w=34\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 0}, Find(0)=1, Find(1)=1, Add (0,1)=39 Failed, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(0)=1, Find(2)=2, Add (0,2)=43 Succeeded, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(0)=1, Find(3)=1, Add (0,3)=44 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=48 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=76 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=94 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=97 Failed, w=77\"],\"Answer\":77}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,53],[0,3,23],[0,4,74],[0,5,60],[1,2,89],[1,3,57],[1,4,4],[1,5,5],[2,3,75],[3,5,34],[4,5,6]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,23],[0,4,74],[0,5,60],[1,2,89],[1,3,57],[1,4,4],[1,5,5],[2,3,75],[3,5,34],[4,5,6]]}", "role": "user" }, { "content": "{\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,23],[0,4,74],[0,5,60],[1,2,89],[1,3,57],[1,4,4],[1,5,5],[2,3,75],[3,5,34],[4,5,6]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)\",\"Add (1,5)\",\"Add (0,3)\",\"Add (3,5)\",\"Add (2,3)\"],\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,23],[0,4,74],[0,5,60],[1,2,89],[1,3,57],[1,4,4],[1,5,5],[2,3,75],[3,5,34],[4,5,6]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=4, w=4\",\"Add (1,5)=5, w=9\",\"Add (0,3)=23, w=32\",\"Add (3,5)=34, w=66\",\"Add (2,3)=75, w=141\"],\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,23],[0,4,74],[0,5,60],[1,2,89],[1,3,57],[1,4,4],[1,5,5],[2,3,75],[3,5,34],[4,5,6]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=4 Succeeded, w=4\",\"Add (1,5)=5 Succeeded, w=9\",\"Add (4,5)=6 Failed, w=9\",\"Add (0,3)=23 Succeeded, w=32\",\"Add (3,5)=34 Succeeded, w=66\",\"Add (0,1)=53 Failed, w=66\",\"Add (1,3)=57 Failed, w=66\",\"Add (0,5)=60 Failed, w=66\",\"Add (0,4)=74 Failed, w=66\",\"Add (2,3)=75 Succeeded, w=141\",\"Add (1,2)=89 Failed, w=141\"],\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,23],[0,4,74],[0,5,60],[1,2,89],[1,3,57],[1,4,4],[1,5,5],[2,3,75],[3,5,34],[4,5,6]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=4,(1,5)=5,(4,5)=6,(0,3)=23,(3,5)=34,(0,1)=53,(1,3)=57,(0,5)=60,(0,4)=74,(2,3)=75,(1,2)=89]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=4\",\"Find(1)=1, Find(5)=5, Add (1,5)=5 Succeeded, w=9\",\"Find(4)=1, Find(5)=1, Add (4,5)=6 Failed, w=9\",\"Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=32\",\"Find(3)=0, Find(5)=1, Add (3,5)=34 Succeeded, w=66\",\"Find(0)=0, Find(1)=0, Add (0,1)=53 Failed, w=66\",\"Find(1)=0, Find(3)=0, Add (1,3)=57 Failed, w=66\",\"Find(0)=0, Find(5)=0, Add (0,5)=60 Failed, w=66\",\"Find(0)=0, Find(4)=0, Add (0,4)=74 Failed, w=66\",\"Find(2)=2, Find(3)=0, Add (2,3)=75 Succeeded, w=141\",\"Find(1)=0, Find(2)=0, Add (1,2)=89 Failed, w=141\"],\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,23],[0,4,74],[0,5,60],[1,2,89],[1,3,57],[1,4,4],[1,5,5],[2,3,75],[3,5,34],[4,5,6]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=4,(1,5)=5,(4,5)=6,(0,3)=23,(3,5)=34,(0,1)=53,(1,3)=57,(0,5)=60,(0,4)=74,(2,3)=75,(1,2)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=6 Failed, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 1}, Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 1}, Find(3)=0, Find(5)=1, Add (3,5)=34 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 1}, Find(0)=0, Find(1)=0, Add (0,1)=53 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 1}, Find(1)=0, Find(3)=0, Add (1,3)=57 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=60 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=74 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(3)=0, Add (2,3)=75 Succeeded, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=89 Failed, w=141\"],\"Answer\":141}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,85],[0,2,41],[0,3,17],[0,4,25],[0,5,68],[0,6,92],[0,7,61],[1,2,5],[1,3,70],[1,4,46],[1,5,10],[1,7,24],[2,3,98],[2,4,11],[2,5,3],[2,6,54],[2,7,11],[3,4,81],[3,5,46],[3,6,100],[3,7,42],[4,5,60],[4,6,13],[4,7,46],[5,6,75],[5,7,24],[6,7,3]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,2,41],[0,3,17],[0,4,25],[0,5,68],[0,6,92],[0,7,61],[1,2,5],[1,3,70],[1,4,46],[1,5,10],[1,7,24],[2,3,98],[2,4,11],[2,5,3],[2,6,54],[2,7,11],[3,4,81],[3,5,46],[3,6,100],[3,7,42],[4,5,60],[4,6,13],[4,7,46],[5,6,75],[5,7,24],[6,7,3]]}", "role": "user" }, { "content": "{\"Answer\":75}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,2,41],[0,3,17],[0,4,25],[0,5,68],[0,6,92],[0,7,61],[1,2,5],[1,3,70],[1,4,46],[1,5,10],[1,7,24],[2,3,98],[2,4,11],[2,5,3],[2,6,54],[2,7,11],[3,4,81],[3,5,46],[3,6,100],[3,7,42],[4,5,60],[4,6,13],[4,7,46],[5,6,75],[5,7,24],[6,7,3]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)\",\"Add (6,7)\",\"Add (1,2)\",\"Add (2,4)\",\"Add (2,7)\",\"Add (0,3)\",\"Add (0,4)\"],\"Answer\":75}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,2,41],[0,3,17],[0,4,25],[0,5,68],[0,6,92],[0,7,61],[1,2,5],[1,3,70],[1,4,46],[1,5,10],[1,7,24],[2,3,98],[2,4,11],[2,5,3],[2,6,54],[2,7,11],[3,4,81],[3,5,46],[3,6,100],[3,7,42],[4,5,60],[4,6,13],[4,7,46],[5,6,75],[5,7,24],[6,7,3]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=3, w=3\",\"Add (6,7)=3, w=6\",\"Add (1,2)=5, w=11\",\"Add (2,4)=11, w=22\",\"Add (2,7)=11, w=33\",\"Add (0,3)=17, w=50\",\"Add (0,4)=25, w=75\"],\"Answer\":75}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,2,41],[0,3,17],[0,4,25],[0,5,68],[0,6,92],[0,7,61],[1,2,5],[1,3,70],[1,4,46],[1,5,10],[1,7,24],[2,3,98],[2,4,11],[2,5,3],[2,6,54],[2,7,11],[3,4,81],[3,5,46],[3,6,100],[3,7,42],[4,5,60],[4,6,13],[4,7,46],[5,6,75],[5,7,24],[6,7,3]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=3 Succeeded, w=3\",\"Add (6,7)=3 Succeeded, w=6\",\"Add (1,2)=5 Succeeded, w=11\",\"Add (1,5)=10 Failed, w=11\",\"Add (2,4)=11 Succeeded, w=22\",\"Add (2,7)=11 Succeeded, w=33\",\"Add (4,6)=13 Failed, w=33\",\"Add (0,3)=17 Succeeded, w=50\",\"Add (1,7)=24 Failed, w=50\",\"Add (5,7)=24 Failed, w=50\",\"Add (0,4)=25 Succeeded, w=75\",\"Add (0,2)=41 Failed, w=75\",\"Add (3,7)=42 Failed, w=75\",\"Add (1,4)=46 Failed, w=75\",\"Add (3,5)=46 Failed, w=75\",\"Add (4,7)=46 Failed, w=75\",\"Add (2,6)=54 Failed, w=75\",\"Add (4,5)=60 Failed, w=75\",\"Add (0,7)=61 Failed, w=75\",\"Add (0,5)=68 Failed, w=75\",\"Add (1,3)=70 Failed, w=75\",\"Add (5,6)=75 Failed, w=75\",\"Add (3,4)=81 Failed, w=75\",\"Add (0,1)=85 Failed, w=75\",\"Add (0,6)=92 Failed, w=75\",\"Add (2,3)=98 Failed, w=75\",\"Add (3,6)=100 Failed, w=75\"],\"Answer\":75}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,2,41],[0,3,17],[0,4,25],[0,5,68],[0,6,92],[0,7,61],[1,2,5],[1,3,70],[1,4,46],[1,5,10],[1,7,24],[2,3,98],[2,4,11],[2,5,3],[2,6,54],[2,7,11],[3,4,81],[3,5,46],[3,6,100],[3,7,42],[4,5,60],[4,6,13],[4,7,46],[5,6,75],[5,7,24],[6,7,3]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=3,(6,7)=3,(1,2)=5,(1,5)=10,(2,4)=11,(2,7)=11,(4,6)=13,(0,3)=17,(1,7)=24,(5,7)=24,(0,4)=25,(0,2)=41,(3,7)=42,(1,4)=46,(3,5)=46,(4,7)=46,(2,6)=54,(4,5)=60,(0,7)=61,(0,5)=68,(1,3)=70,(5,6)=75,(3,4)=81,(0,1)=85,(0,6)=92,(2,3)=98,(3,6)=100]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=3\",\"Find(6)=6, Find(7)=7, Add (6,7)=3 Succeeded, w=6\",\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=11\",\"Find(1)=2, Find(5)=2, Add (1,5)=10 Failed, w=11\",\"Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=22\",\"Find(2)=2, Find(7)=6, Add (2,7)=11 Succeeded, w=33\",\"Find(4)=2, Find(6)=2, Add (4,6)=13 Failed, w=33\",\"Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=50\",\"Find(1)=2, Find(7)=2, Add (1,7)=24 Failed, w=50\",\"Find(5)=2, Find(7)=2, Add (5,7)=24 Failed, w=50\",\"Find(0)=0, Find(4)=2, Add (0,4)=25 Succeeded, w=75\",\"Find(0)=2, Find(2)=2, Add (0,2)=41 Failed, w=75\",\"Find(3)=2, Find(7)=2, Add (3,7)=42 Failed, w=75\",\"Find(1)=2, Find(4)=2, Add (1,4)=46 Failed, w=75\",\"Find(3)=2, Find(5)=2, Add (3,5)=46 Failed, w=75\",\"Find(4)=2, Find(7)=2, Add (4,7)=46 Failed, w=75\",\"Find(2)=2, Find(6)=2, Add (2,6)=54 Failed, w=75\",\"Find(4)=2, Find(5)=2, Add (4,5)=60 Failed, w=75\",\"Find(0)=2, Find(7)=2, Add (0,7)=61 Failed, w=75\",\"Find(0)=2, Find(5)=2, Add (0,5)=68 Failed, w=75\",\"Find(1)=2, Find(3)=2, Add (1,3)=70 Failed, w=75\",\"Find(5)=2, Find(6)=2, Add (5,6)=75 Failed, w=75\",\"Find(3)=2, Find(4)=2, Add (3,4)=81 Failed, w=75\",\"Find(0)=2, Find(1)=2, Add (0,1)=85 Failed, w=75\",\"Find(0)=2, Find(6)=2, Add (0,6)=92 Failed, w=75\",\"Find(2)=2, Find(3)=2, Add (2,3)=98 Failed, w=75\",\"Find(3)=2, Find(6)=2, Add (3,6)=100 Failed, w=75\"],\"Answer\":75}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,2,41],[0,3,17],[0,4,25],[0,5,68],[0,6,92],[0,7,61],[1,2,5],[1,3,70],[1,4,46],[1,5,10],[1,7,24],[2,3,98],[2,4,11],[2,5,3],[2,6,54],[2,7,11],[3,4,81],[3,5,46],[3,6,100],[3,7,42],[4,5,60],[4,6,13],[4,7,46],[5,6,75],[5,7,24],[6,7,3]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=3,(6,7)=3,(1,2)=5,(1,5)=10,(2,4)=11,(2,7)=11,(4,6)=13,(0,3)=17,(1,7)=24,(5,7)=24,(0,4)=25,(0,2)=41,(3,7)=42,(1,4)=46,(3,5)=46,(4,7)=46,(2,6)=54,(4,5)=60,(0,7)=61,(0,5)=68,(1,3)=70,(5,6)=75,(3,4)=81,(0,1)=85,(0,6)=92,(2,3)=98,(3,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=3 Succeeded, w=6\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 6}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=11\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 6}, Find(1)=2, Find(5)=2, Add (1,5)=10 Failed, w=11\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6, 7: 6}, Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=22\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 6}, Find(2)=2, Find(7)=6, Add (2,7)=11 Succeeded, w=33\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 6}, Find(4)=2, Find(6)=2, Add (4,6)=13 Failed, w=33\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 6}, Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=50\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=24 Failed, w=50\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=24 Failed, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=0, Find(4)=2, Add (0,4)=25 Succeeded, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=41 Failed, w=75\",\"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)=42 Failed, w=75\",\"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)=46 Failed, w=75\",\"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)=46 Failed, w=75\",\"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)=46 Failed, w=75\",\"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)=54 Failed, w=75\",\"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)=60 Failed, w=75\",\"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)=61 Failed, w=75\",\"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)=68 Failed, w=75\",\"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)=70 Failed, w=75\",\"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)=75 Failed, w=75\",\"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)=81 Failed, w=75\",\"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)=85 Failed, w=75\",\"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)=92 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=98 Failed, w=75\",\"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)=100 Failed, w=75\"],\"Answer\":75}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,3],[0,2,13],[0,3,79],[0,4,98],[1,2,84],[1,3,71],[1,4,90],[1,5,54],[2,4,19],[2,5,14],[4,5,27]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,2,13],[0,3,79],[0,4,98],[1,2,84],[1,3,71],[1,4,90],[1,5,54],[2,4,19],[2,5,14],[4,5,27]]}", "role": "user" }, { "content": "{\"Answer\":120}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,2,13],[0,3,79],[0,4,98],[1,2,84],[1,3,71],[1,4,90],[1,5,54],[2,4,19],[2,5,14],[4,5,27]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (2,5)\",\"Add (2,4)\",\"Add (1,3)\"],\"Answer\":120}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,2,13],[0,3,79],[0,4,98],[1,2,84],[1,3,71],[1,4,90],[1,5,54],[2,4,19],[2,5,14],[4,5,27]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=3, w=3\",\"Add (0,2)=13, w=16\",\"Add (2,5)=14, w=30\",\"Add (2,4)=19, w=49\",\"Add (1,3)=71, w=120\"],\"Answer\":120}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,2,13],[0,3,79],[0,4,98],[1,2,84],[1,3,71],[1,4,90],[1,5,54],[2,4,19],[2,5,14],[4,5,27]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=3 Succeeded, w=3\",\"Add (0,2)=13 Succeeded, w=16\",\"Add (2,5)=14 Succeeded, w=30\",\"Add (2,4)=19 Succeeded, w=49\",\"Add (4,5)=27 Failed, w=49\",\"Add (1,5)=54 Failed, w=49\",\"Add (1,3)=71 Succeeded, w=120\",\"Add (0,3)=79 Failed, w=120\",\"Add (1,2)=84 Failed, w=120\",\"Add (1,4)=90 Failed, w=120\",\"Add (0,4)=98 Failed, w=120\"],\"Answer\":120}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,2,13],[0,3,79],[0,4,98],[1,2,84],[1,3,71],[1,4,90],[1,5,54],[2,4,19],[2,5,14],[4,5,27]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=3,(0,2)=13,(2,5)=14,(2,4)=19,(4,5)=27,(1,5)=54,(1,3)=71,(0,3)=79,(1,2)=84,(1,4)=90,(0,4)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=16\",\"Find(2)=0, Find(5)=5, Add (2,5)=14 Succeeded, w=30\",\"Find(2)=0, Find(4)=4, Add (2,4)=19 Succeeded, w=49\",\"Find(4)=0, Find(5)=0, Add (4,5)=27 Failed, w=49\",\"Find(1)=0, Find(5)=0, Add (1,5)=54 Failed, w=49\",\"Find(1)=0, Find(3)=3, Add (1,3)=71 Succeeded, w=120\",\"Find(0)=0, Find(3)=0, Add (0,3)=79 Failed, w=120\",\"Find(1)=0, Find(2)=0, Add (1,2)=84 Failed, w=120\",\"Find(1)=0, Find(4)=0, Add (1,4)=90 Failed, w=120\",\"Find(0)=0, Find(4)=0, Add (0,4)=98 Failed, w=120\"],\"Answer\":120}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,2,13],[0,3,79],[0,4,98],[1,2,84],[1,3,71],[1,4,90],[1,5,54],[2,4,19],[2,5,14],[4,5,27]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=3,(0,2)=13,(2,5)=14,(2,4)=19,(4,5)=27,(1,5)=54,(1,3)=71,(0,3)=79,(1,2)=84,(1,4)=90,(0,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0}, Find(2)=0, Find(5)=5, Add (2,5)=14 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(2)=0, Find(4)=4, Add (2,4)=19 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=27 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=54 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=3, Add (1,3)=71 Succeeded, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=79 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=84 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=90 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=98 Failed, w=120\"],\"Answer\":120}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,49],[1,2,47],[1,3,44],[2,3,30]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,49],[1,2,47],[1,3,44],[2,3,30]]}", "role": "user" }, { "content": "{\"Answer\":123}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,49],[1,2,47],[1,3,44],[2,3,30]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":123}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,49],[1,2,47],[1,3,44],[2,3,30]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=30, w=30\",\"Add (1,3)=44, w=74\",\"Add (0,3)=49, w=123\"],\"Answer\":123}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,49],[1,2,47],[1,3,44],[2,3,30]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=30 Succeeded, w=30\",\"Add (1,3)=44 Succeeded, w=74\",\"Add (1,2)=47 Failed, w=74\",\"Add (0,3)=49 Succeeded, w=123\"],\"Answer\":123}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,49],[1,2,47],[1,3,44],[2,3,30]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=30,(1,3)=44,(1,2)=47,(0,3)=49]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=30 Succeeded, w=30\",\"Find(1)=1, Find(3)=2, Add (1,3)=44 Succeeded, w=74\",\"Find(1)=2, Find(2)=2, Add (1,2)=47 Failed, w=74\",\"Find(0)=0, Find(3)=2, Add (0,3)=49 Succeeded, w=123\"],\"Answer\":123}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,49],[1,2,47],[1,3,44],[2,3,30]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=30,(1,3)=44,(1,2)=47,(0,3)=49]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=30 Succeeded, w=30\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=44 Succeeded, w=74\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=47 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=49 Succeeded, w=123\"],\"Answer\":123}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,31],[0,2,66],[0,4,56],[1,2,23],[1,4,65],[3,4,92]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,2,66],[0,4,56],[1,2,23],[1,4,65],[3,4,92]]}", "role": "user" }, { "content": "{\"Answer\":202}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,2,66],[0,4,56],[1,2,23],[1,4,65],[3,4,92]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (0,4)\",\"Add (3,4)\"],\"Answer\":202}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,2,66],[0,4,56],[1,2,23],[1,4,65],[3,4,92]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=23, w=23\",\"Add (0,1)=31, w=54\",\"Add (0,4)=56, w=110\",\"Add (3,4)=92, w=202\"],\"Answer\":202}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,2,66],[0,4,56],[1,2,23],[1,4,65],[3,4,92]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=23 Succeeded, w=23\",\"Add (0,1)=31 Succeeded, w=54\",\"Add (0,4)=56 Succeeded, w=110\",\"Add (1,4)=65 Failed, w=110\",\"Add (0,2)=66 Failed, w=110\",\"Add (3,4)=92 Succeeded, w=202\"],\"Answer\":202}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,2,66],[0,4,56],[1,2,23],[1,4,65],[3,4,92]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=23,(0,1)=31,(0,4)=56,(1,4)=65,(0,2)=66,(3,4)=92]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=23\",\"Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=54\",\"Find(0)=1, Find(4)=4, Add (0,4)=56 Succeeded, w=110\",\"Find(1)=1, Find(4)=1, Add (1,4)=65 Failed, w=110\",\"Find(0)=1, Find(2)=1, Add (0,2)=66 Failed, w=110\",\"Find(3)=3, Find(4)=1, Add (3,4)=92 Succeeded, w=202\"],\"Answer\":202}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,2,66],[0,4,56],[1,2,23],[1,4,65],[3,4,92]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=23,(0,1)=31,(0,4)=56,(1,4)=65,(0,2)=66,(3,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=23\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=1, Find(4)=4, Add (0,4)=56 Succeeded, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=65 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=66 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=3, Find(4)=1, Add (3,4)=92 Succeeded, w=202\"],\"Answer\":202}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,13],[0,2,56],[0,3,63],[1,2,73],[1,3,6],[2,3,15]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,56],[0,3,63],[1,2,73],[1,3,6],[2,3,15]]}", "role": "user" }, { "content": "{\"Answer\":34}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,56],[0,3,63],[1,2,73],[1,3,6],[2,3,15]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":34}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,56],[0,3,63],[1,2,73],[1,3,6],[2,3,15]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=6, w=6\",\"Add (0,1)=13, w=19\",\"Add (2,3)=15, w=34\"],\"Answer\":34}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,56],[0,3,63],[1,2,73],[1,3,6],[2,3,15]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=6 Succeeded, w=6\",\"Add (0,1)=13 Succeeded, w=19\",\"Add (2,3)=15 Succeeded, w=34\",\"Add (0,2)=56 Failed, w=34\",\"Add (0,3)=63 Failed, w=34\",\"Add (1,2)=73 Failed, w=34\"],\"Answer\":34}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,56],[0,3,63],[1,2,73],[1,3,6],[2,3,15]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=6,(0,1)=13,(2,3)=15,(0,2)=56,(0,3)=63,(1,2)=73]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=6\",\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=19\",\"Find(2)=2, Find(3)=1, Add (2,3)=15 Succeeded, w=34\",\"Find(0)=1, Find(2)=1, Add (0,2)=56 Failed, w=34\",\"Find(0)=1, Find(3)=1, Add (0,3)=63 Failed, w=34\",\"Find(1)=1, Find(2)=1, Add (1,2)=73 Failed, w=34\"],\"Answer\":34}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,56],[0,3,63],[1,2,73],[1,3,6],[2,3,15]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=6,(0,1)=13,(2,3)=15,(0,2)=56,(0,3)=63,(1,2)=73]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=6\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=19\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=15 Succeeded, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=56 Failed, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=63 Failed, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=73 Failed, w=34\"],\"Answer\":34}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,67],[0,2,53],[0,3,41],[0,4,91],[0,5,62],[0,6,18],[0,7,51],[1,2,7],[1,3,66],[1,4,82],[1,5,69],[1,6,17],[1,7,94],[2,3,77],[2,4,50],[2,5,86],[2,6,57],[2,7,41],[3,4,40],[3,5,64],[3,6,6],[3,7,98],[4,5,73],[4,6,59],[4,7,71],[5,6,45],[5,7,83],[6,7,56]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,53],[0,3,41],[0,4,91],[0,5,62],[0,6,18],[0,7,51],[1,2,7],[1,3,66],[1,4,82],[1,5,69],[1,6,17],[1,7,94],[2,3,77],[2,4,50],[2,5,86],[2,6,57],[2,7,41],[3,4,40],[3,5,64],[3,6,6],[3,7,98],[4,5,73],[4,6,59],[4,7,71],[5,6,45],[5,7,83],[6,7,56]]}", "role": "user" }, { "content": "{\"Answer\":174}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,53],[0,3,41],[0,4,91],[0,5,62],[0,6,18],[0,7,51],[1,2,7],[1,3,66],[1,4,82],[1,5,69],[1,6,17],[1,7,94],[2,3,77],[2,4,50],[2,5,86],[2,6,57],[2,7,41],[3,4,40],[3,5,64],[3,6,6],[3,7,98],[4,5,73],[4,6,59],[4,7,71],[5,6,45],[5,7,83],[6,7,56]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)\",\"Add (1,2)\",\"Add (1,6)\",\"Add (0,6)\",\"Add (3,4)\",\"Add (2,7)\",\"Add (5,6)\"],\"Answer\":174}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,53],[0,3,41],[0,4,91],[0,5,62],[0,6,18],[0,7,51],[1,2,7],[1,3,66],[1,4,82],[1,5,69],[1,6,17],[1,7,94],[2,3,77],[2,4,50],[2,5,86],[2,6,57],[2,7,41],[3,4,40],[3,5,64],[3,6,6],[3,7,98],[4,5,73],[4,6,59],[4,7,71],[5,6,45],[5,7,83],[6,7,56]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)=6, w=6\",\"Add (1,2)=7, w=13\",\"Add (1,6)=17, w=30\",\"Add (0,6)=18, w=48\",\"Add (3,4)=40, w=88\",\"Add (2,7)=41, w=129\",\"Add (5,6)=45, w=174\"],\"Answer\":174}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,53],[0,3,41],[0,4,91],[0,5,62],[0,6,18],[0,7,51],[1,2,7],[1,3,66],[1,4,82],[1,5,69],[1,6,17],[1,7,94],[2,3,77],[2,4,50],[2,5,86],[2,6,57],[2,7,41],[3,4,40],[3,5,64],[3,6,6],[3,7,98],[4,5,73],[4,6,59],[4,7,71],[5,6,45],[5,7,83],[6,7,56]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)=6 Succeeded, w=6\",\"Add (1,2)=7 Succeeded, w=13\",\"Add (1,6)=17 Succeeded, w=30\",\"Add (0,6)=18 Succeeded, w=48\",\"Add (3,4)=40 Succeeded, w=88\",\"Add (0,3)=41 Failed, w=88\",\"Add (2,7)=41 Succeeded, w=129\",\"Add (5,6)=45 Succeeded, w=174\",\"Add (2,4)=50 Failed, w=174\",\"Add (0,7)=51 Failed, w=174\",\"Add (0,2)=53 Failed, w=174\",\"Add (6,7)=56 Failed, w=174\",\"Add (2,6)=57 Failed, w=174\",\"Add (4,6)=59 Failed, w=174\",\"Add (0,5)=62 Failed, w=174\",\"Add (3,5)=64 Failed, w=174\",\"Add (1,3)=66 Failed, w=174\",\"Add (0,1)=67 Failed, w=174\",\"Add (1,5)=69 Failed, w=174\",\"Add (4,7)=71 Failed, w=174\",\"Add (4,5)=73 Failed, w=174\",\"Add (2,3)=77 Failed, w=174\",\"Add (1,4)=82 Failed, w=174\",\"Add (5,7)=83 Failed, w=174\",\"Add (2,5)=86 Failed, w=174\",\"Add (0,4)=91 Failed, w=174\",\"Add (1,7)=94 Failed, w=174\",\"Add (3,7)=98 Failed, w=174\"],\"Answer\":174}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,53],[0,3,41],[0,4,91],[0,5,62],[0,6,18],[0,7,51],[1,2,7],[1,3,66],[1,4,82],[1,5,69],[1,6,17],[1,7,94],[2,3,77],[2,4,50],[2,5,86],[2,6,57],[2,7,41],[3,4,40],[3,5,64],[3,6,6],[3,7,98],[4,5,73],[4,6,59],[4,7,71],[5,6,45],[5,7,83],[6,7,56]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,6)=6,(1,2)=7,(1,6)=17,(0,6)=18,(3,4)=40,(0,3)=41,(2,7)=41,(5,6)=45,(2,4)=50,(0,7)=51,(0,2)=53,(6,7)=56,(2,6)=57,(4,6)=59,(0,5)=62,(3,5)=64,(1,3)=66,(0,1)=67,(1,5)=69,(4,7)=71,(4,5)=73,(2,3)=77,(1,4)=82,(5,7)=83,(2,5)=86,(0,4)=91,(1,7)=94,(3,7)=98]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=6 Succeeded, w=6\",\"Find(1)=1, Find(2)=2, Add (1,2)=7 Succeeded, w=13\",\"Find(1)=1, Find(6)=3, Add (1,6)=17 Succeeded, w=30\",\"Find(0)=0, Find(6)=1, Add (0,6)=18 Succeeded, w=48\",\"Find(3)=1, Find(4)=4, Add (3,4)=40 Succeeded, w=88\",\"Find(0)=1, Find(3)=1, Add (0,3)=41 Failed, w=88\",\"Find(2)=1, Find(7)=7, Add (2,7)=41 Succeeded, w=129\",\"Find(5)=5, Find(6)=1, Add (5,6)=45 Succeeded, w=174\",\"Find(2)=1, Find(4)=1, Add (2,4)=50 Failed, w=174\",\"Find(0)=1, Find(7)=1, Add (0,7)=51 Failed, w=174\",\"Find(0)=1, Find(2)=1, Add (0,2)=53 Failed, w=174\",\"Find(6)=1, Find(7)=1, Add (6,7)=56 Failed, w=174\",\"Find(2)=1, Find(6)=1, Add (2,6)=57 Failed, w=174\",\"Find(4)=1, Find(6)=1, Add (4,6)=59 Failed, w=174\",\"Find(0)=1, Find(5)=1, Add (0,5)=62 Failed, w=174\",\"Find(3)=1, Find(5)=1, Add (3,5)=64 Failed, w=174\",\"Find(1)=1, Find(3)=1, Add (1,3)=66 Failed, w=174\",\"Find(0)=1, Find(1)=1, Add (0,1)=67 Failed, w=174\",\"Find(1)=1, Find(5)=1, Add (1,5)=69 Failed, w=174\",\"Find(4)=1, Find(7)=1, Add (4,7)=71 Failed, w=174\",\"Find(4)=1, Find(5)=1, Add (4,5)=73 Failed, w=174\",\"Find(2)=1, Find(3)=1, Add (2,3)=77 Failed, w=174\",\"Find(1)=1, Find(4)=1, Add (1,4)=82 Failed, w=174\",\"Find(5)=1, Find(7)=1, Add (5,7)=83 Failed, w=174\",\"Find(2)=1, Find(5)=1, Add (2,5)=86 Failed, w=174\",\"Find(0)=1, Find(4)=1, Add (0,4)=91 Failed, w=174\",\"Find(1)=1, Find(7)=1, Add (1,7)=94 Failed, w=174\",\"Find(3)=1, Find(7)=1, Add (3,7)=98 Failed, w=174\"],\"Answer\":174}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,53],[0,3,41],[0,4,91],[0,5,62],[0,6,18],[0,7,51],[1,2,7],[1,3,66],[1,4,82],[1,5,69],[1,6,17],[1,7,94],[2,3,77],[2,4,50],[2,5,86],[2,6,57],[2,7,41],[3,4,40],[3,5,64],[3,6,6],[3,7,98],[4,5,73],[4,6,59],[4,7,71],[5,6,45],[5,7,83],[6,7,56]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,6)=6,(1,2)=7,(1,6)=17,(0,6)=18,(3,4)=40,(0,3)=41,(2,7)=41,(5,6)=45,(2,4)=50,(0,7)=51,(0,2)=53,(6,7)=56,(2,6)=57,(4,6)=59,(0,5)=62,(3,5)=64,(1,3)=66,(0,1)=67,(1,5)=69,(4,7)=71,(4,5)=73,(2,3)=77,(1,4)=82,(5,7)=83,(2,5)=86,(0,4)=91,(1,7)=94,(3,7)=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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 3, 7: 7}, Find(1)=1, Find(6)=3, Add (1,6)=17 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 1, 7: 7}, Find(0)=0, Find(6)=1, Add (0,6)=18 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 7}, Find(3)=1, Find(4)=4, Add (3,4)=40 Succeeded, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 7}, Find(0)=1, Find(3)=1, Add (0,3)=41 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 1}, Find(2)=1, Find(7)=7, Add (2,7)=41 Succeeded, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=5, Find(6)=1, Add (5,6)=45 Succeeded, w=174\",\"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)=50 Failed, w=174\",\"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)=51 Failed, w=174\",\"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)=53 Failed, w=174\",\"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)=56 Failed, w=174\",\"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)=57 Failed, w=174\",\"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)=59 Failed, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=62 Failed, w=174\",\"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)=64 Failed, w=174\",\"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)=66 Failed, w=174\",\"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)=67 Failed, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=69 Failed, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=71 Failed, w=174\",\"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)=73 Failed, w=174\",\"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)=77 Failed, w=174\",\"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)=82 Failed, w=174\",\"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)=83 Failed, w=174\",\"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)=86 Failed, w=174\",\"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)=91 Failed, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=94 Failed, w=174\",\"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)=98 Failed, w=174\"],\"Answer\":174}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,68],[0,3,24],[1,2,34],[1,4,8],[2,3,98],[2,4,36],[3,4,41],[3,5,100],[4,5,15]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,3,24],[1,2,34],[1,4,8],[2,3,98],[2,4,36],[3,4,41],[3,5,100],[4,5,15]]}", "role": "user" }, { "content": "{\"Answer\":122}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,3,24],[1,2,34],[1,4,8],[2,3,98],[2,4,36],[3,4,41],[3,5,100],[4,5,15]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)\",\"Add (4,5)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (3,4)\"],\"Answer\":122}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,3,24],[1,2,34],[1,4,8],[2,3,98],[2,4,36],[3,4,41],[3,5,100],[4,5,15]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=8, w=8\",\"Add (4,5)=15, w=23\",\"Add (0,3)=24, w=47\",\"Add (1,2)=34, w=81\",\"Add (3,4)=41, w=122\"],\"Answer\":122}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,3,24],[1,2,34],[1,4,8],[2,3,98],[2,4,36],[3,4,41],[3,5,100],[4,5,15]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=8 Succeeded, w=8\",\"Add (4,5)=15 Succeeded, w=23\",\"Add (0,3)=24 Succeeded, w=47\",\"Add (1,2)=34 Succeeded, w=81\",\"Add (2,4)=36 Failed, w=81\",\"Add (3,4)=41 Succeeded, w=122\",\"Add (0,1)=68 Failed, w=122\",\"Add (2,3)=98 Failed, w=122\",\"Add (3,5)=100 Failed, w=122\"],\"Answer\":122}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,3,24],[1,2,34],[1,4,8],[2,3,98],[2,4,36],[3,4,41],[3,5,100],[4,5,15]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=8,(4,5)=15,(0,3)=24,(1,2)=34,(2,4)=36,(3,4)=41,(0,1)=68,(2,3)=98,(3,5)=100]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=8\",\"Find(4)=1, Find(5)=5, Add (4,5)=15 Succeeded, w=23\",\"Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=47\",\"Find(1)=1, Find(2)=2, Add (1,2)=34 Succeeded, w=81\",\"Find(2)=1, Find(4)=1, Add (2,4)=36 Failed, w=81\",\"Find(3)=0, Find(4)=1, Add (3,4)=41 Succeeded, w=122\",\"Find(0)=0, Find(1)=0, Add (0,1)=68 Failed, w=122\",\"Find(2)=0, Find(3)=0, Add (2,3)=98 Failed, w=122\",\"Find(3)=0, Find(5)=0, Add (3,5)=100 Failed, w=122\"],\"Answer\":122}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,3,24],[1,2,34],[1,4,8],[2,3,98],[2,4,36],[3,4,41],[3,5,100],[4,5,15]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=8,(4,5)=15,(0,3)=24,(1,2)=34,(2,4)=36,(3,4)=41,(0,1)=68,(2,3)=98,(3,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(4)=1, Find(5)=5, Add (4,5)=15 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 1}, Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=47\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1}, Find(1)=1, Find(2)=2, Add (1,2)=34 Succeeded, w=81\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=36 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1, 5: 1}, Find(3)=0, Find(4)=1, Add (3,4)=41 Succeeded, w=122\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1, 5: 1}, Find(0)=0, Find(1)=0, Add (0,1)=68 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 1}, Find(2)=0, Find(3)=0, Add (2,3)=98 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=100 Failed, w=122\"],\"Answer\":122}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,60],[0,2,69],[0,3,100],[0,4,17],[0,5,17],[1,3,42],[1,4,20],[1,5,15],[2,4,79],[2,5,42],[3,4,98],[3,5,39],[4,5,84]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,69],[0,3,100],[0,4,17],[0,5,17],[1,3,42],[1,4,20],[1,5,15],[2,4,79],[2,5,42],[3,4,98],[3,5,39],[4,5,84]]}", "role": "user" }, { "content": "{\"Answer\":130}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,69],[0,3,100],[0,4,17],[0,5,17],[1,3,42],[1,4,20],[1,5,15],[2,4,79],[2,5,42],[3,4,98],[3,5,39],[4,5,84]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)\",\"Add (0,4)\",\"Add (0,5)\",\"Add (3,5)\",\"Add (2,5)\"],\"Answer\":130}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,69],[0,3,100],[0,4,17],[0,5,17],[1,3,42],[1,4,20],[1,5,15],[2,4,79],[2,5,42],[3,4,98],[3,5,39],[4,5,84]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)=15, w=15\",\"Add (0,4)=17, w=32\",\"Add (0,5)=17, w=49\",\"Add (3,5)=39, w=88\",\"Add (2,5)=42, w=130\"],\"Answer\":130}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,69],[0,3,100],[0,4,17],[0,5,17],[1,3,42],[1,4,20],[1,5,15],[2,4,79],[2,5,42],[3,4,98],[3,5,39],[4,5,84]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)=15 Succeeded, w=15\",\"Add (0,4)=17 Succeeded, w=32\",\"Add (0,5)=17 Succeeded, w=49\",\"Add (1,4)=20 Failed, w=49\",\"Add (3,5)=39 Succeeded, w=88\",\"Add (1,3)=42 Failed, w=88\",\"Add (2,5)=42 Succeeded, w=130\",\"Add (0,1)=60 Failed, w=130\",\"Add (0,2)=69 Failed, w=130\",\"Add (2,4)=79 Failed, w=130\",\"Add (4,5)=84 Failed, w=130\",\"Add (3,4)=98 Failed, w=130\",\"Add (0,3)=100 Failed, w=130\"],\"Answer\":130}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,69],[0,3,100],[0,4,17],[0,5,17],[1,3,42],[1,4,20],[1,5,15],[2,4,79],[2,5,42],[3,4,98],[3,5,39],[4,5,84]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,5)=15,(0,4)=17,(0,5)=17,(1,4)=20,(3,5)=39,(1,3)=42,(2,5)=42,(0,1)=60,(0,2)=69,(2,4)=79,(4,5)=84,(3,4)=98,(0,3)=100]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=15 Succeeded, w=15\",\"Find(0)=0, Find(4)=4, Add (0,4)=17 Succeeded, w=32\",\"Find(0)=0, Find(5)=1, Add (0,5)=17 Succeeded, w=49\",\"Find(1)=0, Find(4)=0, Add (1,4)=20 Failed, w=49\",\"Find(3)=3, Find(5)=0, Add (3,5)=39 Succeeded, w=88\",\"Find(1)=0, Find(3)=0, Add (1,3)=42 Failed, w=88\",\"Find(2)=2, Find(5)=0, Add (2,5)=42 Succeeded, w=130\",\"Find(0)=0, Find(1)=0, Add (0,1)=60 Failed, w=130\",\"Find(0)=0, Find(2)=0, Add (0,2)=69 Failed, w=130\",\"Find(2)=0, Find(4)=0, Add (2,4)=79 Failed, w=130\",\"Find(4)=0, Find(5)=0, Add (4,5)=84 Failed, w=130\",\"Find(3)=0, Find(4)=0, Add (3,4)=98 Failed, w=130\",\"Find(0)=0, Find(3)=0, Add (0,3)=100 Failed, w=130\"],\"Answer\":130}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,69],[0,3,100],[0,4,17],[0,5,17],[1,3,42],[1,4,20],[1,5,15],[2,4,79],[2,5,42],[3,4,98],[3,5,39],[4,5,84]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,5)=15,(0,4)=17,(0,5)=17,(1,4)=20,(3,5)=39,(1,3)=42,(2,5)=42,(0,1)=60,(0,2)=69,(2,4)=79,(4,5)=84,(3,4)=98,(0,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 1}, Find(0)=0, Find(4)=4, Add (0,4)=17 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=17 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 1}, Find(1)=0, Find(4)=0, Add (1,4)=20 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=39 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=42 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=42 Succeeded, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=60 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=69 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=79 Failed, w=130\",\"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=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=98 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=100 Failed, w=130\"],\"Answer\":130}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,9],[1,2,90]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,9],[1,2,90]]}", "role": "user" }, { "content": "{\"Answer\":99}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,9],[1,2,90]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":99}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,9],[1,2,90]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=9, w=9\",\"Add (1,2)=90, w=99\"],\"Answer\":99}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,9],[1,2,90]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=9 Succeeded, w=9\",\"Add (1,2)=90 Succeeded, w=99\"],\"Answer\":99}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,9],[1,2,90]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=9,(1,2)=90]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=9\",\"Find(1)=1, Find(2)=2, Add (1,2)=90 Succeeded, w=99\"],\"Answer\":99}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,9],[1,2,90]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=9,(1,2)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=90 Succeeded, w=99\"],\"Answer\":99}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,88],[0,3,51],[0,4,23],[1,2,14],[1,4,28],[2,4,93]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,3,51],[0,4,23],[1,2,14],[1,4,28],[2,4,93]]}", "role": "user" }, { "content": "{\"Answer\":116}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,3,51],[0,4,23],[1,2,14],[1,4,28],[2,4,93]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (0,4)\",\"Add (1,4)\",\"Add (0,3)\"],\"Answer\":116}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,3,51],[0,4,23],[1,2,14],[1,4,28],[2,4,93]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=14, w=14\",\"Add (0,4)=23, w=37\",\"Add (1,4)=28, w=65\",\"Add (0,3)=51, w=116\"],\"Answer\":116}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,3,51],[0,4,23],[1,2,14],[1,4,28],[2,4,93]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=14 Succeeded, w=14\",\"Add (0,4)=23 Succeeded, w=37\",\"Add (1,4)=28 Succeeded, w=65\",\"Add (0,3)=51 Succeeded, w=116\",\"Add (0,1)=88 Failed, w=116\",\"Add (2,4)=93 Failed, w=116\"],\"Answer\":116}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,3,51],[0,4,23],[1,2,14],[1,4,28],[2,4,93]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=14,(0,4)=23,(1,4)=28,(0,3)=51,(0,1)=88,(2,4)=93]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=14\",\"Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=37\",\"Find(1)=1, Find(4)=0, Add (1,4)=28 Succeeded, w=65\",\"Find(0)=1, Find(3)=3, Add (0,3)=51 Succeeded, w=116\",\"Find(0)=1, Find(1)=1, Add (0,1)=88 Failed, w=116\",\"Find(2)=1, Find(4)=1, Add (2,4)=93 Failed, w=116\"],\"Answer\":116}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,3,51],[0,4,23],[1,2,14],[1,4,28],[2,4,93]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=14,(0,4)=23,(1,4)=28,(0,3)=51,(0,1)=88,(2,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=37\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=28 Succeeded, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(0)=1, Find(3)=3, Add (0,3)=51 Succeeded, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(0)=1, Find(1)=1, Add (0,1)=88 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=93 Failed, w=116\"],\"Answer\":116}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,61],[0,2,58],[0,3,32],[0,4,90],[1,3,58],[1,4,25],[2,3,13],[3,5,3],[4,5,98]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,58],[0,3,32],[0,4,90],[1,3,58],[1,4,25],[2,3,13],[3,5,3],[4,5,98]]}", "role": "user" }, { "content": "{\"Answer\":131}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,58],[0,3,32],[0,4,90],[1,3,58],[1,4,25],[2,3,13],[3,5,3],[4,5,98]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)\",\"Add (2,3)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":131}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,58],[0,3,32],[0,4,90],[1,3,58],[1,4,25],[2,3,13],[3,5,3],[4,5,98]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=3, w=3\",\"Add (2,3)=13, w=16\",\"Add (1,4)=25, w=41\",\"Add (0,3)=32, w=73\",\"Add (1,3)=58, w=131\"],\"Answer\":131}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,58],[0,3,32],[0,4,90],[1,3,58],[1,4,25],[2,3,13],[3,5,3],[4,5,98]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=3 Succeeded, w=3\",\"Add (2,3)=13 Succeeded, w=16\",\"Add (1,4)=25 Succeeded, w=41\",\"Add (0,3)=32 Succeeded, w=73\",\"Add (0,2)=58 Failed, w=73\",\"Add (1,3)=58 Succeeded, w=131\",\"Add (0,1)=61 Failed, w=131\",\"Add (0,4)=90 Failed, w=131\",\"Add (4,5)=98 Failed, w=131\"],\"Answer\":131}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,58],[0,3,32],[0,4,90],[1,3,58],[1,4,25],[2,3,13],[3,5,3],[4,5,98]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=3,(2,3)=13,(1,4)=25,(0,3)=32,(0,2)=58,(1,3)=58,(0,1)=61,(0,4)=90,(4,5)=98]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=3 Succeeded, w=3\",\"Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=16\",\"Find(1)=1, Find(4)=4, Add (1,4)=25 Succeeded, w=41\",\"Find(0)=0, Find(3)=3, Add (0,3)=32 Succeeded, w=73\",\"Find(0)=3, Find(2)=3, Add (0,2)=58 Failed, w=73\",\"Find(1)=1, Find(3)=3, Add (1,3)=58 Succeeded, w=131\",\"Find(0)=1, Find(1)=1, Add (0,1)=61 Failed, w=131\",\"Find(0)=1, Find(4)=1, Add (0,4)=90 Failed, w=131\",\"Find(4)=1, Find(5)=1, Add (4,5)=98 Failed, w=131\"],\"Answer\":131}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,58],[0,3,32],[0,4,90],[1,3,58],[1,4,25],[2,3,13],[3,5,3],[4,5,98]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=3,(2,3)=13,(1,4)=25,(0,3)=32,(0,2)=58,(1,3)=58,(0,1)=61,(0,4)=90,(4,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3}, Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 1, 5: 3}, Find(1)=1, Find(4)=4, Add (1,4)=25 Succeeded, w=41\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 1, 5: 3}, Find(0)=0, Find(3)=3, Add (0,3)=32 Succeeded, w=73\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 1, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=58 Failed, w=73\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 1, 4: 1, 5: 3}, Find(1)=1, Find(3)=3, Add (1,3)=58 Succeeded, w=131\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 3}, Find(0)=1, Find(1)=1, Add (0,1)=61 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 3}, Find(0)=1, Find(4)=1, Add (0,4)=90 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=98 Failed, w=131\"],\"Answer\":131}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,91],[0,2,8],[0,3,40],[0,4,38],[0,5,85],[0,6,44],[0,7,21],[1,2,70],[1,3,39],[1,4,41],[1,5,39],[1,6,46],[1,7,78],[2,3,71],[2,5,0],[2,6,76],[2,7,15],[3,4,4],[3,5,61],[3,6,39],[3,7,77],[4,5,65],[4,6,9],[4,7,54],[5,6,10],[6,7,24]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,8],[0,3,40],[0,4,38],[0,5,85],[0,6,44],[0,7,21],[1,2,70],[1,3,39],[1,4,41],[1,5,39],[1,6,46],[1,7,78],[2,3,71],[2,5,0],[2,6,76],[2,7,15],[3,4,4],[3,5,61],[3,6,39],[3,7,77],[4,5,65],[4,6,9],[4,7,54],[5,6,10],[6,7,24]]}", "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\":[[0,1,91],[0,2,8],[0,3,40],[0,4,38],[0,5,85],[0,6,44],[0,7,21],[1,2,70],[1,3,39],[1,4,41],[1,5,39],[1,6,46],[1,7,78],[2,3,71],[2,5,0],[2,6,76],[2,7,15],[3,4,4],[3,5,61],[3,6,39],[3,7,77],[4,5,65],[4,6,9],[4,7,54],[5,6,10],[6,7,24]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (4,6)\",\"Add (5,6)\",\"Add (2,7)\",\"Add (1,3)\"],\"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\":[[0,1,91],[0,2,8],[0,3,40],[0,4,38],[0,5,85],[0,6,44],[0,7,21],[1,2,70],[1,3,39],[1,4,41],[1,5,39],[1,6,46],[1,7,78],[2,3,71],[2,5,0],[2,6,76],[2,7,15],[3,4,4],[3,5,61],[3,6,39],[3,7,77],[4,5,65],[4,6,9],[4,7,54],[5,6,10],[6,7,24]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=0, w=0\",\"Add (3,4)=4, w=4\",\"Add (0,2)=8, w=12\",\"Add (4,6)=9, w=21\",\"Add (5,6)=10, w=31\",\"Add (2,7)=15, w=46\",\"Add (1,3)=39, 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\":[[0,1,91],[0,2,8],[0,3,40],[0,4,38],[0,5,85],[0,6,44],[0,7,21],[1,2,70],[1,3,39],[1,4,41],[1,5,39],[1,6,46],[1,7,78],[2,3,71],[2,5,0],[2,6,76],[2,7,15],[3,4,4],[3,5,61],[3,6,39],[3,7,77],[4,5,65],[4,6,9],[4,7,54],[5,6,10],[6,7,24]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=0 Succeeded, w=0\",\"Add (3,4)=4 Succeeded, w=4\",\"Add (0,2)=8 Succeeded, w=12\",\"Add (4,6)=9 Succeeded, w=21\",\"Add (5,6)=10 Succeeded, w=31\",\"Add (2,7)=15 Succeeded, w=46\",\"Add (0,7)=21 Failed, w=46\",\"Add (6,7)=24 Failed, w=46\",\"Add (0,4)=38 Failed, w=46\",\"Add (1,3)=39 Succeeded, w=85\",\"Add (1,5)=39 Failed, w=85\",\"Add (3,6)=39 Failed, w=85\",\"Add (0,3)=40 Failed, w=85\",\"Add (1,4)=41 Failed, w=85\",\"Add (0,6)=44 Failed, w=85\",\"Add (1,6)=46 Failed, w=85\",\"Add (4,7)=54 Failed, w=85\",\"Add (3,5)=61 Failed, w=85\",\"Add (4,5)=65 Failed, w=85\",\"Add (1,2)=70 Failed, w=85\",\"Add (2,3)=71 Failed, w=85\",\"Add (2,6)=76 Failed, w=85\",\"Add (3,7)=77 Failed, w=85\",\"Add (1,7)=78 Failed, w=85\",\"Add (0,5)=85 Failed, w=85\",\"Add (0,1)=91 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\":[[0,1,91],[0,2,8],[0,3,40],[0,4,38],[0,5,85],[0,6,44],[0,7,21],[1,2,70],[1,3,39],[1,4,41],[1,5,39],[1,6,46],[1,7,78],[2,3,71],[2,5,0],[2,6,76],[2,7,15],[3,4,4],[3,5,61],[3,6,39],[3,7,77],[4,5,65],[4,6,9],[4,7,54],[5,6,10],[6,7,24]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=0,(3,4)=4,(0,2)=8,(4,6)=9,(5,6)=10,(2,7)=15,(0,7)=21,(6,7)=24,(0,4)=38,(1,3)=39,(1,5)=39,(3,6)=39,(0,3)=40,(1,4)=41,(0,6)=44,(1,6)=46,(4,7)=54,(3,5)=61,(4,5)=65,(1,2)=70,(2,3)=71,(2,6)=76,(3,7)=77,(1,7)=78,(0,5)=85,(0,1)=91]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=4\",\"Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=12\",\"Find(4)=3, Find(6)=6, Add (4,6)=9 Succeeded, w=21\",\"Find(5)=2, Find(6)=3, Add (5,6)=10 Succeeded, w=31\",\"Find(2)=2, Find(7)=7, Add (2,7)=15 Succeeded, w=46\",\"Find(0)=2, Find(7)=2, Add (0,7)=21 Failed, w=46\",\"Find(6)=2, Find(7)=2, Add (6,7)=24 Failed, w=46\",\"Find(0)=2, Find(4)=2, Add (0,4)=38 Failed, w=46\",\"Find(1)=1, Find(3)=2, Add (1,3)=39 Succeeded, w=85\",\"Find(1)=2, Find(5)=2, Add (1,5)=39 Failed, w=85\",\"Find(3)=2, Find(6)=2, Add (3,6)=39 Failed, w=85\",\"Find(0)=2, Find(3)=2, Add (0,3)=40 Failed, w=85\",\"Find(1)=2, Find(4)=2, Add (1,4)=41 Failed, w=85\",\"Find(0)=2, Find(6)=2, Add (0,6)=44 Failed, w=85\",\"Find(1)=2, Find(6)=2, Add (1,6)=46 Failed, w=85\",\"Find(4)=2, Find(7)=2, Add (4,7)=54 Failed, w=85\",\"Find(3)=2, Find(5)=2, Add (3,5)=61 Failed, w=85\",\"Find(4)=2, Find(5)=2, Add (4,5)=65 Failed, w=85\",\"Find(1)=2, Find(2)=2, Add (1,2)=70 Failed, w=85\",\"Find(2)=2, Find(3)=2, Add (2,3)=71 Failed, w=85\",\"Find(2)=2, Find(6)=2, Add (2,6)=76 Failed, w=85\",\"Find(3)=2, Find(7)=2, Add (3,7)=77 Failed, w=85\",\"Find(1)=2, Find(7)=2, Add (1,7)=78 Failed, w=85\",\"Find(0)=2, Find(5)=2, Add (0,5)=85 Failed, w=85\",\"Find(0)=2, Find(1)=2, Add (0,1)=91 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\":[[0,1,91],[0,2,8],[0,3,40],[0,4,38],[0,5,85],[0,6,44],[0,7,21],[1,2,70],[1,3,39],[1,4,41],[1,5,39],[1,6,46],[1,7,78],[2,3,71],[2,5,0],[2,6,76],[2,7,15],[3,4,4],[3,5,61],[3,6,39],[3,7,77],[4,5,65],[4,6,9],[4,7,54],[5,6,10],[6,7,24]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=0,(3,4)=4,(0,2)=8,(4,6)=9,(5,6)=10,(2,7)=15,(0,7)=21,(6,7)=24,(0,4)=38,(1,3)=39,(1,5)=39,(3,6)=39,(0,3)=40,(1,4)=41,(0,6)=44,(1,6)=46,(4,7)=54,(3,5)=61,(4,5)=65,(1,2)=70,(2,3)=71,(2,6)=76,(3,7)=77,(1,7)=78,(0,5)=85,(0,1)=91]\",\"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: 3, 5: 2, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=4\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=12\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 3, 7: 7}, Find(4)=3, Find(6)=6, Add (4,6)=9 Succeeded, w=21\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 3, 5: 2, 6: 3, 7: 7}, Find(5)=2, Find(6)=3, Add (5,6)=10 Succeeded, w=31\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 3, 5: 2, 6: 3, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=15 Succeeded, w=46\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 3, 5: 2, 6: 3, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=21 Failed, w=46\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=24 Failed, w=46\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=38 Failed, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=1, Find(3)=2, Add (1,3)=39 Succeeded, w=85\",\"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)=39 Failed, w=85\",\"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)=39 Failed, w=85\",\"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)=40 Failed, w=85\",\"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)=41 Failed, w=85\",\"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)=44 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=46 Failed, w=85\",\"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)=54 Failed, w=85\",\"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)=61 Failed, w=85\",\"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)=65 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=70 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=71 Failed, w=85\",\"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)=76 Failed, w=85\",\"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)=77 Failed, w=85\",\"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)=78 Failed, w=85\",\"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)=85 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=91 Failed, w=85\"],\"Answer\":85}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,57],[0,2,13],[0,3,74],[1,3,41],[2,3,50]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,13],[0,3,74],[1,3,41],[2,3,50]]}", "role": "user" }, { "content": "{\"Answer\":104}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,13],[0,3,74],[1,3,41],[2,3,50]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":104}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,13],[0,3,74],[1,3,41],[2,3,50]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=13, w=13\",\"Add (1,3)=41, w=54\",\"Add (2,3)=50, w=104\"],\"Answer\":104}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,13],[0,3,74],[1,3,41],[2,3,50]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=13 Succeeded, w=13\",\"Add (1,3)=41 Succeeded, w=54\",\"Add (2,3)=50 Succeeded, w=104\",\"Add (0,1)=57 Failed, w=104\",\"Add (0,3)=74 Failed, w=104\"],\"Answer\":104}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,13],[0,3,74],[1,3,41],[2,3,50]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=13,(1,3)=41,(2,3)=50,(0,1)=57,(0,3)=74]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=13\",\"Find(1)=1, Find(3)=3, Add (1,3)=41 Succeeded, w=54\",\"Find(2)=0, Find(3)=1, Add (2,3)=50 Succeeded, w=104\",\"Find(0)=0, Find(1)=0, Add (0,1)=57 Failed, w=104\",\"Find(0)=0, Find(3)=0, Add (0,3)=74 Failed, w=104\"],\"Answer\":104}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,13],[0,3,74],[1,3,41],[2,3,50]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=13,(1,3)=41,(2,3)=50,(0,1)=57,(0,3)=74]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=41 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(2)=0, Find(3)=1, Add (2,3)=50 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(1)=0, Add (0,1)=57 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=74 Failed, w=104\"],\"Answer\":104}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,50],[0,2,3],[0,3,65],[0,4,11],[1,2,40],[1,3,89],[1,4,80],[2,3,60],[2,4,38]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,3],[0,3,65],[0,4,11],[1,2,40],[1,3,89],[1,4,80],[2,3,60],[2,4,38]]}", "role": "user" }, { "content": "{\"Answer\":114}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,3],[0,3,65],[0,4,11],[1,2,40],[1,3,89],[1,4,80],[2,3,60],[2,4,38]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":114}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,3],[0,3,65],[0,4,11],[1,2,40],[1,3,89],[1,4,80],[2,3,60],[2,4,38]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=3, w=3\",\"Add (0,4)=11, w=14\",\"Add (1,2)=40, w=54\",\"Add (2,3)=60, w=114\"],\"Answer\":114}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,3],[0,3,65],[0,4,11],[1,2,40],[1,3,89],[1,4,80],[2,3,60],[2,4,38]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=3 Succeeded, w=3\",\"Add (0,4)=11 Succeeded, w=14\",\"Add (2,4)=38 Failed, w=14\",\"Add (1,2)=40 Succeeded, w=54\",\"Add (0,1)=50 Failed, w=54\",\"Add (2,3)=60 Succeeded, w=114\",\"Add (0,3)=65 Failed, w=114\",\"Add (1,4)=80 Failed, w=114\",\"Add (1,3)=89 Failed, w=114\"],\"Answer\":114}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,3],[0,3,65],[0,4,11],[1,2,40],[1,3,89],[1,4,80],[2,3,60],[2,4,38]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=3,(0,4)=11,(2,4)=38,(1,2)=40,(0,1)=50,(2,3)=60,(0,3)=65,(1,4)=80,(1,3)=89]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=14\",\"Find(2)=0, Find(4)=0, Add (2,4)=38 Failed, w=14\",\"Find(1)=1, Find(2)=0, Add (1,2)=40 Succeeded, w=54\",\"Find(0)=0, Find(1)=0, Add (0,1)=50 Failed, w=54\",\"Find(2)=0, Find(3)=3, Add (2,3)=60 Succeeded, w=114\",\"Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=114\",\"Find(1)=0, Find(4)=0, Add (1,4)=80 Failed, w=114\",\"Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=114\"],\"Answer\":114}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,3],[0,3,65],[0,4,11],[1,2,40],[1,3,89],[1,4,80],[2,3,60],[2,4,38]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=3,(0,4)=11,(2,4)=38,(1,2)=40,(0,1)=50,(2,3)=60,(0,3)=65,(1,4)=80,(1,3)=89]\",\"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: 0}, Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=38 Failed, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=1, Find(2)=0, Add (1,2)=40 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=50 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=3, Add (2,3)=60 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=80 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=114\"],\"Answer\":114}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,2],[0,2,56],[0,3,24],[0,4,35],[1,2,38],[1,3,17],[1,4,45],[1,5,54],[2,3,9],[2,4,22],[3,4,40],[3,5,13],[4,5,71]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,56],[0,3,24],[0,4,35],[1,2,38],[1,3,17],[1,4,45],[1,5,54],[2,3,9],[2,4,22],[3,4,40],[3,5,13],[4,5,71]]}", "role": "user" }, { "content": "{\"Answer\":63}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,56],[0,3,24],[0,4,35],[1,2,38],[1,3,17],[1,4,45],[1,5,54],[2,3,9],[2,4,22],[3,4,40],[3,5,13],[4,5,71]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (3,5)\",\"Add (1,3)\",\"Add (2,4)\"],\"Answer\":63}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,56],[0,3,24],[0,4,35],[1,2,38],[1,3,17],[1,4,45],[1,5,54],[2,3,9],[2,4,22],[3,4,40],[3,5,13],[4,5,71]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=2, w=2\",\"Add (2,3)=9, w=11\",\"Add (3,5)=13, w=24\",\"Add (1,3)=17, w=41\",\"Add (2,4)=22, w=63\"],\"Answer\":63}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,56],[0,3,24],[0,4,35],[1,2,38],[1,3,17],[1,4,45],[1,5,54],[2,3,9],[2,4,22],[3,4,40],[3,5,13],[4,5,71]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=2 Succeeded, w=2\",\"Add (2,3)=9 Succeeded, w=11\",\"Add (3,5)=13 Succeeded, w=24\",\"Add (1,3)=17 Succeeded, w=41\",\"Add (2,4)=22 Succeeded, w=63\",\"Add (0,3)=24 Failed, w=63\",\"Add (0,4)=35 Failed, w=63\",\"Add (1,2)=38 Failed, w=63\",\"Add (3,4)=40 Failed, w=63\",\"Add (1,4)=45 Failed, w=63\",\"Add (1,5)=54 Failed, w=63\",\"Add (0,2)=56 Failed, w=63\",\"Add (4,5)=71 Failed, w=63\"],\"Answer\":63}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,56],[0,3,24],[0,4,35],[1,2,38],[1,3,17],[1,4,45],[1,5,54],[2,3,9],[2,4,22],[3,4,40],[3,5,13],[4,5,71]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=2,(2,3)=9,(3,5)=13,(1,3)=17,(2,4)=22,(0,3)=24,(0,4)=35,(1,2)=38,(3,4)=40,(1,4)=45,(1,5)=54,(0,2)=56,(4,5)=71]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=11\",\"Find(3)=2, Find(5)=5, Add (3,5)=13 Succeeded, w=24\",\"Find(1)=0, Find(3)=2, Add (1,3)=17 Succeeded, w=41\",\"Find(2)=0, Find(4)=4, Add (2,4)=22 Succeeded, w=63\",\"Find(0)=0, Find(3)=0, Add (0,3)=24 Failed, w=63\",\"Find(0)=0, Find(4)=0, Add (0,4)=35 Failed, w=63\",\"Find(1)=0, Find(2)=0, Add (1,2)=38 Failed, w=63\",\"Find(3)=0, Find(4)=0, Add (3,4)=40 Failed, w=63\",\"Find(1)=0, Find(4)=0, Add (1,4)=45 Failed, w=63\",\"Find(1)=0, Find(5)=0, Add (1,5)=54 Failed, w=63\",\"Find(0)=0, Find(2)=0, Add (0,2)=56 Failed, w=63\",\"Find(4)=0, Find(5)=0, Add (4,5)=71 Failed, w=63\"],\"Answer\":63}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,56],[0,3,24],[0,4,35],[1,2,38],[1,3,17],[1,4,45],[1,5,54],[2,3,9],[2,4,22],[3,4,40],[3,5,13],[4,5,71]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=2,(2,3)=9,(3,5)=13,(1,3)=17,(2,4)=22,(0,3)=24,(0,4)=35,(1,2)=38,(3,4)=40,(1,4)=45,(1,5)=54,(0,2)=56,(4,5)=71]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 2}, Find(3)=2, Find(5)=5, Add (3,5)=13 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4, 5: 2}, Find(1)=0, Find(3)=2, Add (1,3)=17 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 2}, Find(2)=0, Find(4)=4, Add (2,4)=22 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(0)=0, Find(3)=0, Add (0,3)=24 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(0)=0, Find(4)=0, Add (0,4)=35 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(1)=0, Find(2)=0, Add (1,2)=38 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(3)=0, Find(4)=0, Add (3,4)=40 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(1)=0, Find(4)=0, Add (1,4)=45 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=54 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=56 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=71 Failed, w=63\"],\"Answer\":63}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,5],[0,2,76],[0,3,27],[0,4,18],[0,5,1],[0,6,46],[1,2,80],[1,3,43],[1,4,54],[1,5,56],[1,6,92],[2,3,11],[2,5,20],[2,6,38],[3,4,68],[3,5,56],[3,6,22],[4,5,15],[5,6,40]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,76],[0,3,27],[0,4,18],[0,5,1],[0,6,46],[1,2,80],[1,3,43],[1,4,54],[1,5,56],[1,6,92],[2,3,11],[2,5,20],[2,6,38],[3,4,68],[3,5,56],[3,6,22],[4,5,15],[5,6,40]]}", "role": "user" }, { "content": "{\"Answer\":74}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,76],[0,3,27],[0,4,18],[0,5,1],[0,6,46],[1,2,80],[1,3,43],[1,4,54],[1,5,56],[1,6,92],[2,3,11],[2,5,20],[2,6,38],[3,4,68],[3,5,56],[3,6,22],[4,5,15],[5,6,40]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (4,5)\",\"Add (2,5)\",\"Add (3,6)\"],\"Answer\":74}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,76],[0,3,27],[0,4,18],[0,5,1],[0,6,46],[1,2,80],[1,3,43],[1,4,54],[1,5,56],[1,6,92],[2,3,11],[2,5,20],[2,6,38],[3,4,68],[3,5,56],[3,6,22],[4,5,15],[5,6,40]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)=1, w=1\",\"Add (0,1)=5, w=6\",\"Add (2,3)=11, w=17\",\"Add (4,5)=15, w=32\",\"Add (2,5)=20, w=52\",\"Add (3,6)=22, w=74\"],\"Answer\":74}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,76],[0,3,27],[0,4,18],[0,5,1],[0,6,46],[1,2,80],[1,3,43],[1,4,54],[1,5,56],[1,6,92],[2,3,11],[2,5,20],[2,6,38],[3,4,68],[3,5,56],[3,6,22],[4,5,15],[5,6,40]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)=1 Succeeded, w=1\",\"Add (0,1)=5 Succeeded, w=6\",\"Add (2,3)=11 Succeeded, w=17\",\"Add (4,5)=15 Succeeded, w=32\",\"Add (0,4)=18 Failed, w=32\",\"Add (2,5)=20 Succeeded, w=52\",\"Add (3,6)=22 Succeeded, w=74\",\"Add (0,3)=27 Failed, w=74\",\"Add (2,6)=38 Failed, w=74\",\"Add (5,6)=40 Failed, w=74\",\"Add (1,3)=43 Failed, w=74\",\"Add (0,6)=46 Failed, w=74\",\"Add (1,4)=54 Failed, w=74\",\"Add (1,5)=56 Failed, w=74\",\"Add (3,5)=56 Failed, w=74\",\"Add (3,4)=68 Failed, w=74\",\"Add (0,2)=76 Failed, w=74\",\"Add (1,2)=80 Failed, w=74\",\"Add (1,6)=92 Failed, w=74\"],\"Answer\":74}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,76],[0,3,27],[0,4,18],[0,5,1],[0,6,46],[1,2,80],[1,3,43],[1,4,54],[1,5,56],[1,6,92],[2,3,11],[2,5,20],[2,6,38],[3,4,68],[3,5,56],[3,6,22],[4,5,15],[5,6,40]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,5)=1,(0,1)=5,(2,3)=11,(4,5)=15,(0,4)=18,(2,5)=20,(3,6)=22,(0,3)=27,(2,6)=38,(5,6)=40,(1,3)=43,(0,6)=46,(1,4)=54,(1,5)=56,(3,5)=56,(3,4)=68,(0,2)=76,(1,2)=80,(1,6)=92]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=6\",\"Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=17\",\"Find(4)=4, Find(5)=0, Add (4,5)=15 Succeeded, w=32\",\"Find(0)=0, Find(4)=0, Add (0,4)=18 Failed, w=32\",\"Find(2)=2, Find(5)=0, Add (2,5)=20 Succeeded, w=52\",\"Find(3)=2, Find(6)=6, Add (3,6)=22 Succeeded, w=74\",\"Find(0)=2, Find(3)=2, Add (0,3)=27 Failed, w=74\",\"Find(2)=2, Find(6)=2, Add (2,6)=38 Failed, w=74\",\"Find(5)=2, Find(6)=2, Add (5,6)=40 Failed, w=74\",\"Find(1)=2, Find(3)=2, Add (1,3)=43 Failed, w=74\",\"Find(0)=2, Find(6)=2, Add (0,6)=46 Failed, w=74\",\"Find(1)=2, Find(4)=2, Add (1,4)=54 Failed, w=74\",\"Find(1)=2, Find(5)=2, Add (1,5)=56 Failed, w=74\",\"Find(3)=2, Find(5)=2, Add (3,5)=56 Failed, w=74\",\"Find(3)=2, Find(4)=2, Add (3,4)=68 Failed, w=74\",\"Find(0)=2, Find(2)=2, Add (0,2)=76 Failed, w=74\",\"Find(1)=2, Find(2)=2, Add (1,2)=80 Failed, w=74\",\"Find(1)=2, Find(6)=2, Add (1,6)=92 Failed, w=74\"],\"Answer\":74}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,76],[0,3,27],[0,4,18],[0,5,1],[0,6,46],[1,2,80],[1,3,43],[1,4,54],[1,5,56],[1,6,92],[2,3,11],[2,5,20],[2,6,38],[3,4,68],[3,5,56],[3,6,22],[4,5,15],[5,6,40]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,5)=1,(0,1)=5,(2,3)=11,(4,5)=15,(0,4)=18,(2,5)=20,(3,6)=22,(0,3)=27,(2,6)=38,(5,6)=40,(1,3)=43,(0,6)=46,(1,4)=54,(1,5)=56,(3,5)=56,(3,4)=68,(0,2)=76,(1,2)=80,(1,6)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 0, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 0, 6: 6}, Find(4)=4, Find(5)=0, Add (4,5)=15 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(4)=0, Add (0,4)=18 Failed, w=32\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 0, 5: 0, 6: 6}, Find(2)=2, Find(5)=0, Add (2,5)=20 Succeeded, w=52\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 0, 5: 0, 6: 2}, Find(3)=2, Find(6)=6, Add (3,6)=22 Succeeded, w=74\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 0, 5: 0, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=27 Failed, w=74\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 0, 5: 0, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=38 Failed, w=74\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=40 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=43 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=46 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=54 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=56 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=56 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=68 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=76 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=80 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=92 Failed, w=74\"],\"Answer\":74}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,74],[0,4,80],[2,3,51]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,74],[0,4,80],[2,3,51]]}", "role": "user" }, { "content": "{\"Answer\":205}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,74],[0,4,80],[2,3,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (0,4)\"],\"Answer\":205}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,74],[0,4,80],[2,3,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=51, w=51\",\"Add (0,3)=74, w=125\",\"Add (0,4)=80, w=205\"],\"Answer\":205}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,74],[0,4,80],[2,3,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=51 Succeeded, w=51\",\"Add (0,3)=74 Succeeded, w=125\",\"Add (0,4)=80 Succeeded, w=205\"],\"Answer\":205}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,74],[0,4,80],[2,3,51]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=51,(0,3)=74,(0,4)=80]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=51 Succeeded, w=51\",\"Find(0)=0, Find(3)=2, Add (0,3)=74 Succeeded, w=125\",\"Find(0)=2, Find(4)=4, Add (0,4)=80 Succeeded, w=205\"],\"Answer\":205}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,74],[0,4,80],[2,3,51]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=51,(0,3)=74,(0,4)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=51 Succeeded, w=51\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(3)=2, Add (0,3)=74 Succeeded, w=125\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=4, Add (0,4)=80 Succeeded, w=205\"],\"Answer\":205}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,16],[0,2,89],[0,3,44],[0,4,42],[1,2,86],[1,3,93],[1,4,36],[2,3,79],[2,4,84],[3,4,79]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,89],[0,3,44],[0,4,42],[1,2,86],[1,3,93],[1,4,36],[2,3,79],[2,4,84],[3,4,79]]}", "role": "user" }, { "content": "{\"Answer\":175}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,89],[0,3,44],[0,4,42],[1,2,86],[1,3,93],[1,4,36],[2,3,79],[2,4,84],[3,4,79]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":175}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,89],[0,3,44],[0,4,42],[1,2,86],[1,3,93],[1,4,36],[2,3,79],[2,4,84],[3,4,79]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=16, w=16\",\"Add (1,4)=36, w=52\",\"Add (0,3)=44, w=96\",\"Add (2,3)=79, w=175\"],\"Answer\":175}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,89],[0,3,44],[0,4,42],[1,2,86],[1,3,93],[1,4,36],[2,3,79],[2,4,84],[3,4,79]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=16 Succeeded, w=16\",\"Add (1,4)=36 Succeeded, w=52\",\"Add (0,4)=42 Failed, w=52\",\"Add (0,3)=44 Succeeded, w=96\",\"Add (2,3)=79 Succeeded, w=175\",\"Add (3,4)=79 Failed, w=175\",\"Add (2,4)=84 Failed, w=175\",\"Add (1,2)=86 Failed, w=175\",\"Add (0,2)=89 Failed, w=175\",\"Add (1,3)=93 Failed, w=175\"],\"Answer\":175}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,89],[0,3,44],[0,4,42],[1,2,86],[1,3,93],[1,4,36],[2,3,79],[2,4,84],[3,4,79]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=16,(1,4)=36,(0,4)=42,(0,3)=44,(2,3)=79,(3,4)=79,(2,4)=84,(1,2)=86,(0,2)=89,(1,3)=93]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=16\",\"Find(1)=0, Find(4)=4, Add (1,4)=36 Succeeded, w=52\",\"Find(0)=0, Find(4)=0, Add (0,4)=42 Failed, w=52\",\"Find(0)=0, Find(3)=3, Add (0,3)=44 Succeeded, w=96\",\"Find(2)=2, Find(3)=0, Add (2,3)=79 Succeeded, w=175\",\"Find(3)=0, Find(4)=0, Add (3,4)=79 Failed, w=175\",\"Find(2)=0, Find(4)=0, Add (2,4)=84 Failed, w=175\",\"Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=175\",\"Find(0)=0, Find(2)=0, Add (0,2)=89 Failed, w=175\",\"Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=175\"],\"Answer\":175}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,89],[0,3,44],[0,4,42],[1,2,86],[1,3,93],[1,4,36],[2,3,79],[2,4,84],[3,4,79]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=16,(1,4)=36,(0,4)=42,(0,3)=44,(2,3)=79,(3,4)=79,(2,4)=84,(1,2)=86,(0,2)=89,(1,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=36 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=42 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=44 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(3)=0, Add (2,3)=79 Succeeded, w=175\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=79 Failed, w=175\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=84 Failed, w=175\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=175\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=89 Failed, w=175\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=175\"],\"Answer\":175}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,50],[0,2,74],[0,3,46],[0,4,31],[1,2,63],[1,3,59],[1,4,52],[2,3,4],[2,4,96],[3,4,87]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,74],[0,3,46],[0,4,31],[1,2,63],[1,3,59],[1,4,52],[2,3,4],[2,4,96],[3,4,87]]}", "role": "user" }, { "content": "{\"Answer\":131}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,74],[0,3,46],[0,4,31],[1,2,63],[1,3,59],[1,4,52],[2,3,4],[2,4,96],[3,4,87]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (0,4)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":131}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,74],[0,3,46],[0,4,31],[1,2,63],[1,3,59],[1,4,52],[2,3,4],[2,4,96],[3,4,87]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=4, w=4\",\"Add (0,4)=31, w=35\",\"Add (0,3)=46, w=81\",\"Add (0,1)=50, w=131\"],\"Answer\":131}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,74],[0,3,46],[0,4,31],[1,2,63],[1,3,59],[1,4,52],[2,3,4],[2,4,96],[3,4,87]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=4 Succeeded, w=4\",\"Add (0,4)=31 Succeeded, w=35\",\"Add (0,3)=46 Succeeded, w=81\",\"Add (0,1)=50 Succeeded, w=131\",\"Add (1,4)=52 Failed, w=131\",\"Add (1,3)=59 Failed, w=131\",\"Add (1,2)=63 Failed, w=131\",\"Add (0,2)=74 Failed, w=131\",\"Add (3,4)=87 Failed, w=131\",\"Add (2,4)=96 Failed, w=131\"],\"Answer\":131}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,74],[0,3,46],[0,4,31],[1,2,63],[1,3,59],[1,4,52],[2,3,4],[2,4,96],[3,4,87]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=4,(0,4)=31,(0,3)=46,(0,1)=50,(1,4)=52,(1,3)=59,(1,2)=63,(0,2)=74,(3,4)=87,(2,4)=96]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Find(0)=0, Find(4)=4, Add (0,4)=31 Succeeded, w=35\",\"Find(0)=0, Find(3)=2, Add (0,3)=46 Succeeded, w=81\",\"Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=131\",\"Find(1)=0, Find(4)=0, Add (1,4)=52 Failed, w=131\",\"Find(1)=0, Find(3)=0, Add (1,3)=59 Failed, w=131\",\"Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=131\",\"Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=131\",\"Find(3)=0, Find(4)=0, Add (3,4)=87 Failed, w=131\",\"Find(2)=0, Find(4)=0, Add (2,4)=96 Failed, w=131\"],\"Answer\":131}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,74],[0,3,46],[0,4,31],[1,2,63],[1,3,59],[1,4,52],[2,3,4],[2,4,96],[3,4,87]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=4,(0,4)=31,(0,3)=46,(0,1)=50,(1,4)=52,(1,3)=59,(1,2)=63,(0,2)=74,(3,4)=87,(2,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=31 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(3)=2, Add (0,3)=46 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=52 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=59 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=87 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=96 Failed, w=131\"],\"Answer\":131}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,43],[0,3,22],[0,4,68],[1,4,2],[2,3,70]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,3,22],[0,4,68],[1,4,2],[2,3,70]]}", "role": "user" }, { "content": "{\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,3,22],[0,4,68],[1,4,2],[2,3,70]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (0,4)\"],\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,3,22],[0,4,68],[1,4,2],[2,3,70]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=2, w=2\",\"Add (0,3)=22, w=24\",\"Add (0,2)=43, w=67\",\"Add (0,4)=68, w=135\"],\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,3,22],[0,4,68],[1,4,2],[2,3,70]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=2 Succeeded, w=2\",\"Add (0,3)=22 Succeeded, w=24\",\"Add (0,2)=43 Succeeded, w=67\",\"Add (0,4)=68 Succeeded, w=135\",\"Add (2,3)=70 Failed, w=135\"],\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,3,22],[0,4,68],[1,4,2],[2,3,70]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=2,(0,3)=22,(0,2)=43,(0,4)=68,(2,3)=70]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=24\",\"Find(0)=0, Find(2)=2, Add (0,2)=43 Succeeded, w=67\",\"Find(0)=0, Find(4)=1, Add (0,4)=68 Succeeded, w=135\",\"Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=135\"],\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,3,22],[0,4,68],[1,4,2],[2,3,70]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=2,(0,3)=22,(0,2)=43,(0,4)=68,(2,3)=70]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1}, Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1}, Find(0)=0, Find(2)=2, Add (0,2)=43 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=68 Succeeded, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=135\"],\"Answer\":135}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,25],[0,3,6],[0,5,22],[0,6,48],[1,2,44],[1,3,55],[1,7,84],[2,3,43],[2,5,51],[2,6,93],[3,6,80],[3,7,0],[4,5,61],[4,7,52],[6,7,71]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,25],[0,3,6],[0,5,22],[0,6,48],[1,2,44],[1,3,55],[1,7,84],[2,3,43],[2,5,51],[2,6,93],[3,6,80],[3,7,0],[4,5,61],[4,7,52],[6,7,71]]}", "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\":[[0,2,25],[0,3,6],[0,5,22],[0,6,48],[1,2,44],[1,3,55],[1,7,84],[2,3,43],[2,5,51],[2,6,93],[3,6,80],[3,7,0],[4,5,61],[4,7,52],[6,7,71]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,7)\",\"Add (0,3)\",\"Add (0,5)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (0,6)\",\"Add (4,7)\"],\"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\":[[0,2,25],[0,3,6],[0,5,22],[0,6,48],[1,2,44],[1,3,55],[1,7,84],[2,3,43],[2,5,51],[2,6,93],[3,6,80],[3,7,0],[4,5,61],[4,7,52],[6,7,71]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,7)=0, w=0\",\"Add (0,3)=6, w=6\",\"Add (0,5)=22, w=28\",\"Add (0,2)=25, w=53\",\"Add (1,2)=44, w=97\",\"Add (0,6)=48, w=145\",\"Add (4,7)=52, 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\":[[0,2,25],[0,3,6],[0,5,22],[0,6,48],[1,2,44],[1,3,55],[1,7,84],[2,3,43],[2,5,51],[2,6,93],[3,6,80],[3,7,0],[4,5,61],[4,7,52],[6,7,71]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,7)=0 Succeeded, w=0\",\"Add (0,3)=6 Succeeded, w=6\",\"Add (0,5)=22 Succeeded, w=28\",\"Add (0,2)=25 Succeeded, w=53\",\"Add (2,3)=43 Failed, w=53\",\"Add (1,2)=44 Succeeded, w=97\",\"Add (0,6)=48 Succeeded, w=145\",\"Add (2,5)=51 Failed, w=145\",\"Add (4,7)=52 Succeeded, w=197\",\"Add (1,3)=55 Failed, w=197\",\"Add (4,5)=61 Failed, w=197\",\"Add (6,7)=71 Failed, w=197\",\"Add (3,6)=80 Failed, w=197\",\"Add (1,7)=84 Failed, w=197\",\"Add (2,6)=93 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\":[[0,2,25],[0,3,6],[0,5,22],[0,6,48],[1,2,44],[1,3,55],[1,7,84],[2,3,43],[2,5,51],[2,6,93],[3,6,80],[3,7,0],[4,5,61],[4,7,52],[6,7,71]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,7)=0,(0,3)=6,(0,5)=22,(0,2)=25,(2,3)=43,(1,2)=44,(0,6)=48,(2,5)=51,(4,7)=52,(1,3)=55,(4,5)=61,(6,7)=71,(3,6)=80,(1,7)=84,(2,6)=93]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=0 Succeeded, w=0\",\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Find(0)=3, Find(5)=5, Add (0,5)=22 Succeeded, w=28\",\"Find(0)=3, Find(2)=2, Add (0,2)=25 Succeeded, w=53\",\"Find(2)=3, Find(3)=3, Add (2,3)=43 Failed, w=53\",\"Find(1)=1, Find(2)=3, Add (1,2)=44 Succeeded, w=97\",\"Find(0)=3, Find(6)=6, Add (0,6)=48 Succeeded, w=145\",\"Find(2)=3, Find(5)=3, Add (2,5)=51 Failed, w=145\",\"Find(4)=4, Find(7)=3, Add (4,7)=52 Succeeded, w=197\",\"Find(1)=3, Find(3)=3, Add (1,3)=55 Failed, w=197\",\"Find(4)=3, Find(5)=3, Add (4,5)=61 Failed, w=197\",\"Find(6)=3, Find(7)=3, Add (6,7)=71 Failed, w=197\",\"Find(3)=3, Find(6)=3, Add (3,6)=80 Failed, w=197\",\"Find(1)=3, Find(7)=3, Add (1,7)=84 Failed, w=197\",\"Find(2)=3, Find(6)=3, Add (2,6)=93 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\":[[0,2,25],[0,3,6],[0,5,22],[0,6,48],[1,2,44],[1,3,55],[1,7,84],[2,3,43],[2,5,51],[2,6,93],[3,6,80],[3,7,0],[4,5,61],[4,7,52],[6,7,71]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,7)=0,(0,3)=6,(0,5)=22,(0,2)=25,(2,3)=43,(1,2)=44,(0,6)=48,(2,5)=51,(4,7)=52,(1,3)=55,(4,5)=61,(6,7)=71,(3,6)=80,(1,7)=84,(2,6)=93]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 3}, Find(0)=3, Find(5)=5, Add (0,5)=22 Succeeded, w=28\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 6, 7: 3}, Find(0)=3, Find(2)=2, Add (0,2)=25 Succeeded, w=53\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 6, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=43 Failed, w=53\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 6, 7: 3}, Find(1)=1, Find(2)=3, Add (1,2)=44 Succeeded, w=97\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(6)=6, Add (0,6)=48 Succeeded, w=145\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(5)=3, Add (2,5)=51 Failed, w=145\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=4, Find(7)=3, Add (4,7)=52 Succeeded, w=197\",\"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)=55 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)=61 Failed, w=197\",\"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=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)=80 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)=84 Failed, w=197\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(6)=3, Add (2,6)=93 Failed, w=197\"],\"Answer\":197}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,15],[0,2,5],[0,3,97],[0,5,29],[0,6,4],[0,7,99],[1,2,71],[1,3,0],[1,4,40],[1,5,33],[1,6,2],[1,7,34],[2,3,79],[2,4,3],[2,5,97],[2,6,92],[2,7,89],[3,4,34],[3,5,75],[3,6,53],[3,7,9],[4,5,78],[4,6,33],[4,7,41],[5,7,17],[6,7,56]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,5],[0,3,97],[0,5,29],[0,6,4],[0,7,99],[1,2,71],[1,3,0],[1,4,40],[1,5,33],[1,6,2],[1,7,34],[2,3,79],[2,4,3],[2,5,97],[2,6,92],[2,7,89],[3,4,34],[3,5,75],[3,6,53],[3,7,9],[4,5,78],[4,6,33],[4,7,41],[5,7,17],[6,7,56]]}", "role": "user" }, { "content": "{\"Answer\":40}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,5],[0,3,97],[0,5,29],[0,6,4],[0,7,99],[1,2,71],[1,3,0],[1,4,40],[1,5,33],[1,6,2],[1,7,34],[2,3,79],[2,4,3],[2,5,97],[2,6,92],[2,7,89],[3,4,34],[3,5,75],[3,6,53],[3,7,9],[4,5,78],[4,6,33],[4,7,41],[5,7,17],[6,7,56]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (1,6)\",\"Add (2,4)\",\"Add (0,6)\",\"Add (0,2)\",\"Add (3,7)\",\"Add (5,7)\"],\"Answer\":40}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,5],[0,3,97],[0,5,29],[0,6,4],[0,7,99],[1,2,71],[1,3,0],[1,4,40],[1,5,33],[1,6,2],[1,7,34],[2,3,79],[2,4,3],[2,5,97],[2,6,92],[2,7,89],[3,4,34],[3,5,75],[3,6,53],[3,7,9],[4,5,78],[4,6,33],[4,7,41],[5,7,17],[6,7,56]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (1,6)=2, w=2\",\"Add (2,4)=3, w=5\",\"Add (0,6)=4, w=9\",\"Add (0,2)=5, w=14\",\"Add (3,7)=9, w=23\",\"Add (5,7)=17, w=40\"],\"Answer\":40}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,5],[0,3,97],[0,5,29],[0,6,4],[0,7,99],[1,2,71],[1,3,0],[1,4,40],[1,5,33],[1,6,2],[1,7,34],[2,3,79],[2,4,3],[2,5,97],[2,6,92],[2,7,89],[3,4,34],[3,5,75],[3,6,53],[3,7,9],[4,5,78],[4,6,33],[4,7,41],[5,7,17],[6,7,56]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (1,6)=2 Succeeded, w=2\",\"Add (2,4)=3 Succeeded, w=5\",\"Add (0,6)=4 Succeeded, w=9\",\"Add (0,2)=5 Succeeded, w=14\",\"Add (3,7)=9 Succeeded, w=23\",\"Add (0,1)=15 Failed, w=23\",\"Add (5,7)=17 Succeeded, w=40\",\"Add (0,5)=29 Failed, w=40\",\"Add (1,5)=33 Failed, w=40\",\"Add (4,6)=33 Failed, w=40\",\"Add (1,7)=34 Failed, w=40\",\"Add (3,4)=34 Failed, w=40\",\"Add (1,4)=40 Failed, w=40\",\"Add (4,7)=41 Failed, w=40\",\"Add (3,6)=53 Failed, w=40\",\"Add (6,7)=56 Failed, w=40\",\"Add (1,2)=71 Failed, w=40\",\"Add (3,5)=75 Failed, w=40\",\"Add (4,5)=78 Failed, w=40\",\"Add (2,3)=79 Failed, w=40\",\"Add (2,7)=89 Failed, w=40\",\"Add (2,6)=92 Failed, w=40\",\"Add (0,3)=97 Failed, w=40\",\"Add (2,5)=97 Failed, w=40\",\"Add (0,7)=99 Failed, w=40\"],\"Answer\":40}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,5],[0,3,97],[0,5,29],[0,6,4],[0,7,99],[1,2,71],[1,3,0],[1,4,40],[1,5,33],[1,6,2],[1,7,34],[2,3,79],[2,4,3],[2,5,97],[2,6,92],[2,7,89],[3,4,34],[3,5,75],[3,6,53],[3,7,9],[4,5,78],[4,6,33],[4,7,41],[5,7,17],[6,7,56]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=0,(1,6)=2,(2,4)=3,(0,6)=4,(0,2)=5,(3,7)=9,(0,1)=15,(5,7)=17,(0,5)=29,(1,5)=33,(4,6)=33,(1,7)=34,(3,4)=34,(1,4)=40,(4,7)=41,(3,6)=53,(6,7)=56,(1,2)=71,(3,5)=75,(4,5)=78,(2,3)=79,(2,7)=89,(2,6)=92,(0,3)=97,(2,5)=97,(0,7)=99]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(6)=6, Add (1,6)=2 Succeeded, w=2\",\"Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=5\",\"Find(0)=0, Find(6)=1, Add (0,6)=4 Succeeded, w=9\",\"Find(0)=1, Find(2)=2, Add (0,2)=5 Succeeded, w=14\",\"Find(3)=1, Find(7)=7, Add (3,7)=9 Succeeded, w=23\",\"Find(0)=1, Find(1)=1, Add (0,1)=15 Failed, w=23\",\"Find(5)=5, Find(7)=1, Add (5,7)=17 Succeeded, w=40\",\"Find(0)=1, Find(5)=1, Add (0,5)=29 Failed, w=40\",\"Find(1)=1, Find(5)=1, Add (1,5)=33 Failed, w=40\",\"Find(4)=1, Find(6)=1, Add (4,6)=33 Failed, w=40\",\"Find(1)=1, Find(7)=1, Add (1,7)=34 Failed, w=40\",\"Find(3)=1, Find(4)=1, Add (3,4)=34 Failed, w=40\",\"Find(1)=1, Find(4)=1, Add (1,4)=40 Failed, w=40\",\"Find(4)=1, Find(7)=1, Add (4,7)=41 Failed, w=40\",\"Find(3)=1, Find(6)=1, Add (3,6)=53 Failed, w=40\",\"Find(6)=1, Find(7)=1, Add (6,7)=56 Failed, w=40\",\"Find(1)=1, Find(2)=1, Add (1,2)=71 Failed, w=40\",\"Find(3)=1, Find(5)=1, Add (3,5)=75 Failed, w=40\",\"Find(4)=1, Find(5)=1, Add (4,5)=78 Failed, w=40\",\"Find(2)=1, Find(3)=1, Add (2,3)=79 Failed, w=40\",\"Find(2)=1, Find(7)=1, Add (2,7)=89 Failed, w=40\",\"Find(2)=1, Find(6)=1, Add (2,6)=92 Failed, w=40\",\"Find(0)=1, Find(3)=1, Add (0,3)=97 Failed, w=40\",\"Find(2)=1, Find(5)=1, Add (2,5)=97 Failed, w=40\",\"Find(0)=1, Find(7)=1, Add (0,7)=99 Failed, w=40\"],\"Answer\":40}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,5],[0,3,97],[0,5,29],[0,6,4],[0,7,99],[1,2,71],[1,3,0],[1,4,40],[1,5,33],[1,6,2],[1,7,34],[2,3,79],[2,4,3],[2,5,97],[2,6,92],[2,7,89],[3,4,34],[3,5,75],[3,6,53],[3,7,9],[4,5,78],[4,6,33],[4,7,41],[5,7,17],[6,7,56]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=0,(1,6)=2,(2,4)=3,(0,6)=4,(0,2)=5,(3,7)=9,(0,1)=15,(5,7)=17,(0,5)=29,(1,5)=33,(4,6)=33,(1,7)=34,(3,4)=34,(1,4)=40,(4,7)=41,(3,6)=53,(6,7)=56,(1,2)=71,(3,5)=75,(4,5)=78,(2,3)=79,(2,7)=89,(2,6)=92,(0,3)=97,(2,5)=97,(0,7)=99]\",\"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: 5, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5, 6: 1, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=5\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5, 6: 1, 7: 7}, Find(0)=0, Find(6)=1, Add (0,6)=4 Succeeded, w=9\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 5, 6: 1, 7: 7}, Find(0)=1, Find(2)=2, Add (0,2)=5 Succeeded, w=14\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 5, 6: 1, 7: 1}, Find(3)=1, Find(7)=7, Add (3,7)=9 Succeeded, w=23\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 5, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=15 Failed, w=23\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1, 7: 1}, Find(5)=5, Find(7)=1, Add (5,7)=17 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=29 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=33 Failed, w=40\",\"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)=33 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=34 Failed, w=40\",\"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)=34 Failed, w=40\",\"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)=40 Failed, w=40\",\"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)=41 Failed, w=40\",\"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)=53 Failed, w=40\",\"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)=56 Failed, w=40\",\"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)=71 Failed, w=40\",\"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)=75 Failed, w=40\",\"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)=78 Failed, w=40\",\"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)=79 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=89 Failed, w=40\",\"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)=92 Failed, w=40\",\"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)=97 Failed, w=40\",\"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)=97 Failed, w=40\",\"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)=99 Failed, w=40\"],\"Answer\":40}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,74],[0,2,48],[0,3,47],[1,2,47],[1,3,57],[2,3,63]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,48],[0,3,47],[1,2,47],[1,3,57],[2,3,63]]}", "role": "user" }, { "content": "{\"Answer\":142}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,48],[0,3,47],[1,2,47],[1,3,57],[2,3,63]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":142}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,48],[0,3,47],[1,2,47],[1,3,57],[2,3,63]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=47, w=47\",\"Add (1,2)=47, w=94\",\"Add (0,2)=48, w=142\"],\"Answer\":142}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,48],[0,3,47],[1,2,47],[1,3,57],[2,3,63]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=47 Succeeded, w=47\",\"Add (1,2)=47 Succeeded, w=94\",\"Add (0,2)=48 Succeeded, w=142\",\"Add (1,3)=57 Failed, w=142\",\"Add (2,3)=63 Failed, w=142\",\"Add (0,1)=74 Failed, w=142\"],\"Answer\":142}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,48],[0,3,47],[1,2,47],[1,3,57],[2,3,63]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=47,(1,2)=47,(0,2)=48,(1,3)=57,(2,3)=63,(0,1)=74]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=47 Succeeded, w=47\",\"Find(1)=1, Find(2)=2, Add (1,2)=47 Succeeded, w=94\",\"Find(0)=0, Find(2)=1, Add (0,2)=48 Succeeded, w=142\",\"Find(1)=0, Find(3)=0, Add (1,3)=57 Failed, w=142\",\"Find(2)=0, Find(3)=0, Add (2,3)=63 Failed, w=142\",\"Find(0)=0, Find(1)=0, Add (0,1)=74 Failed, w=142\"],\"Answer\":142}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,48],[0,3,47],[1,2,47],[1,3,57],[2,3,63]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=47,(1,2)=47,(0,2)=48,(1,3)=57,(2,3)=63,(0,1)=74]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=47 Succeeded, w=47\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=47 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(2)=1, Add (0,2)=48 Succeeded, w=142\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=57 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=63 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=74 Failed, w=142\"],\"Answer\":142}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,25],[0,2,66],[0,4,33],[0,5,53],[1,3,17],[2,4,77],[3,4,77]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,2,66],[0,4,33],[0,5,53],[1,3,17],[2,4,77],[3,4,77]]}", "role": "user" }, { "content": "{\"Answer\":194}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,2,66],[0,4,33],[0,5,53],[1,3,17],[2,4,77],[3,4,77]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (0,4)\",\"Add (0,5)\",\"Add (0,2)\"],\"Answer\":194}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,2,66],[0,4,33],[0,5,53],[1,3,17],[2,4,77],[3,4,77]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=17, w=17\",\"Add (0,1)=25, w=42\",\"Add (0,4)=33, w=75\",\"Add (0,5)=53, w=128\",\"Add (0,2)=66, w=194\"],\"Answer\":194}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,2,66],[0,4,33],[0,5,53],[1,3,17],[2,4,77],[3,4,77]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=17 Succeeded, w=17\",\"Add (0,1)=25 Succeeded, w=42\",\"Add (0,4)=33 Succeeded, w=75\",\"Add (0,5)=53 Succeeded, w=128\",\"Add (0,2)=66 Succeeded, w=194\",\"Add (2,4)=77 Failed, w=194\",\"Add (3,4)=77 Failed, w=194\"],\"Answer\":194}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,2,66],[0,4,33],[0,5,53],[1,3,17],[2,4,77],[3,4,77]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=17,(0,1)=25,(0,4)=33,(0,5)=53,(0,2)=66,(2,4)=77,(3,4)=77]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=17\",\"Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=42\",\"Find(0)=1, Find(4)=4, Add (0,4)=33 Succeeded, w=75\",\"Find(0)=1, Find(5)=5, Add (0,5)=53 Succeeded, w=128\",\"Find(0)=1, Find(2)=2, Add (0,2)=66 Succeeded, w=194\",\"Find(2)=1, Find(4)=1, Add (2,4)=77 Failed, w=194\",\"Find(3)=1, Find(4)=1, Add (3,4)=77 Failed, w=194\"],\"Answer\":194}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,2,66],[0,4,33],[0,5,53],[1,3,17],[2,4,77],[3,4,77]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=17,(0,1)=25,(0,4)=33,(0,5)=53,(0,2)=66,(2,4)=77,(3,4)=77]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=17\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=42\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(0)=1, Find(4)=4, Add (0,4)=33 Succeeded, w=75\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=5, Add (0,5)=53 Succeeded, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=2, Add (0,2)=66 Succeeded, w=194\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=77 Failed, w=194\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=77 Failed, w=194\"],\"Answer\":194}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,3],[0,2,32],[0,3,97],[0,4,76],[0,5,77],[1,2,70],[1,3,68],[1,4,34],[2,3,66],[2,4,21],[3,4,21],[3,5,46],[4,5,88]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,2,32],[0,3,97],[0,4,76],[0,5,77],[1,2,70],[1,3,68],[1,4,34],[2,3,66],[2,4,21],[3,4,21],[3,5,46],[4,5,88]]}", "role": "user" }, { "content": "{\"Answer\":123}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,2,32],[0,3,97],[0,4,76],[0,5,77],[1,2,70],[1,3,68],[1,4,34],[2,3,66],[2,4,21],[3,4,21],[3,5,46],[4,5,88]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (2,4)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (3,5)\"],\"Answer\":123}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,2,32],[0,3,97],[0,4,76],[0,5,77],[1,2,70],[1,3,68],[1,4,34],[2,3,66],[2,4,21],[3,4,21],[3,5,46],[4,5,88]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=3, w=3\",\"Add (2,4)=21, w=24\",\"Add (3,4)=21, w=45\",\"Add (0,2)=32, w=77\",\"Add (3,5)=46, w=123\"],\"Answer\":123}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,2,32],[0,3,97],[0,4,76],[0,5,77],[1,2,70],[1,3,68],[1,4,34],[2,3,66],[2,4,21],[3,4,21],[3,5,46],[4,5,88]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=3 Succeeded, w=3\",\"Add (2,4)=21 Succeeded, w=24\",\"Add (3,4)=21 Succeeded, w=45\",\"Add (0,2)=32 Succeeded, w=77\",\"Add (1,4)=34 Failed, w=77\",\"Add (3,5)=46 Succeeded, w=123\",\"Add (2,3)=66 Failed, w=123\",\"Add (1,3)=68 Failed, w=123\",\"Add (1,2)=70 Failed, w=123\",\"Add (0,4)=76 Failed, w=123\",\"Add (0,5)=77 Failed, w=123\",\"Add (4,5)=88 Failed, w=123\",\"Add (0,3)=97 Failed, w=123\"],\"Answer\":123}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,2,32],[0,3,97],[0,4,76],[0,5,77],[1,2,70],[1,3,68],[1,4,34],[2,3,66],[2,4,21],[3,4,21],[3,5,46],[4,5,88]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=3,(2,4)=21,(3,4)=21,(0,2)=32,(1,4)=34,(3,5)=46,(2,3)=66,(1,3)=68,(1,2)=70,(0,4)=76,(0,5)=77,(4,5)=88,(0,3)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=24\",\"Find(3)=3, Find(4)=2, Add (3,4)=21 Succeeded, w=45\",\"Find(0)=0, Find(2)=2, Add (0,2)=32 Succeeded, w=77\",\"Find(1)=0, Find(4)=0, Add (1,4)=34 Failed, w=77\",\"Find(3)=0, Find(5)=5, Add (3,5)=46 Succeeded, w=123\",\"Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=123\",\"Find(1)=0, Find(3)=0, Add (1,3)=68 Failed, w=123\",\"Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=123\",\"Find(0)=0, Find(4)=0, Add (0,4)=76 Failed, w=123\",\"Find(0)=0, Find(5)=0, Add (0,5)=77 Failed, w=123\",\"Find(4)=0, Find(5)=0, Add (4,5)=88 Failed, w=123\",\"Find(0)=0, Find(3)=0, Add (0,3)=97 Failed, w=123\"],\"Answer\":123}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,2,32],[0,3,97],[0,4,76],[0,5,77],[1,2,70],[1,3,68],[1,4,34],[2,3,66],[2,4,21],[3,4,21],[3,5,46],[4,5,88]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=3,(2,4)=21,(3,4)=21,(0,2)=32,(1,4)=34,(3,5)=46,(2,3)=66,(1,3)=68,(1,2)=70,(0,4)=76,(0,5)=77,(4,5)=88,(0,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 5}, Find(3)=3, Find(4)=2, Add (3,4)=21 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=32 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 5}, Find(1)=0, Find(4)=0, Add (1,4)=34 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=5, Add (3,5)=46 Succeeded, w=123\",\"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=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=68 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=76 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=77 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=88 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=97 Failed, w=123\"],\"Answer\":123}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,89],[0,2,40],[1,3,56]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,89],[0,2,40],[1,3,56]]}", "role": "user" }, { "content": "{\"Answer\":185}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,89],[0,2,40],[1,3,56]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":185}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,89],[0,2,40],[1,3,56]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=40, w=40\",\"Add (1,3)=56, w=96\",\"Add (0,1)=89, w=185\"],\"Answer\":185}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,89],[0,2,40],[1,3,56]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=40 Succeeded, w=40\",\"Add (1,3)=56 Succeeded, w=96\",\"Add (0,1)=89 Succeeded, w=185\"],\"Answer\":185}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,89],[0,2,40],[1,3,56]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=40,(1,3)=56,(0,1)=89]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=40 Succeeded, w=40\",\"Find(1)=1, Find(3)=3, Add (1,3)=56 Succeeded, w=96\",\"Find(0)=0, Find(1)=1, Add (0,1)=89 Succeeded, w=185\"],\"Answer\":185}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,89],[0,2,40],[1,3,56]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=40,(1,3)=56,(0,1)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=40 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=56 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=89 Succeeded, w=185\"],\"Answer\":185}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,9],[0,3,61],[0,4,84],[0,5,70],[0,6,17],[1,2,33],[1,3,93],[1,4,55],[1,6,21],[2,3,28],[2,4,18],[2,5,7],[2,6,21],[3,4,42],[3,5,26],[3,6,43],[4,5,67],[4,6,67],[5,6,88]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,3,61],[0,4,84],[0,5,70],[0,6,17],[1,2,33],[1,3,93],[1,4,55],[1,6,21],[2,3,28],[2,4,18],[2,5,7],[2,6,21],[3,4,42],[3,5,26],[3,6,43],[4,5,67],[4,6,67],[5,6,88]]}", "role": "user" }, { "content": "{\"Answer\":98}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,3,61],[0,4,84],[0,5,70],[0,6,17],[1,2,33],[1,3,93],[1,4,55],[1,6,21],[2,3,28],[2,4,18],[2,5,7],[2,6,21],[3,4,42],[3,5,26],[3,6,43],[4,5,67],[4,6,67],[5,6,88]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)\",\"Add (0,1)\",\"Add (0,6)\",\"Add (2,4)\",\"Add (2,6)\",\"Add (3,5)\"],\"Answer\":98}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,3,61],[0,4,84],[0,5,70],[0,6,17],[1,2,33],[1,3,93],[1,4,55],[1,6,21],[2,3,28],[2,4,18],[2,5,7],[2,6,21],[3,4,42],[3,5,26],[3,6,43],[4,5,67],[4,6,67],[5,6,88]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=7, w=7\",\"Add (0,1)=9, w=16\",\"Add (0,6)=17, w=33\",\"Add (2,4)=18, w=51\",\"Add (2,6)=21, w=72\",\"Add (3,5)=26, w=98\"],\"Answer\":98}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,3,61],[0,4,84],[0,5,70],[0,6,17],[1,2,33],[1,3,93],[1,4,55],[1,6,21],[2,3,28],[2,4,18],[2,5,7],[2,6,21],[3,4,42],[3,5,26],[3,6,43],[4,5,67],[4,6,67],[5,6,88]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=7 Succeeded, w=7\",\"Add (0,1)=9 Succeeded, w=16\",\"Add (0,6)=17 Succeeded, w=33\",\"Add (2,4)=18 Succeeded, w=51\",\"Add (1,6)=21 Failed, w=51\",\"Add (2,6)=21 Succeeded, w=72\",\"Add (3,5)=26 Succeeded, w=98\",\"Add (2,3)=28 Failed, w=98\",\"Add (1,2)=33 Failed, w=98\",\"Add (3,4)=42 Failed, w=98\",\"Add (3,6)=43 Failed, w=98\",\"Add (1,4)=55 Failed, w=98\",\"Add (0,3)=61 Failed, w=98\",\"Add (4,5)=67 Failed, w=98\",\"Add (4,6)=67 Failed, w=98\",\"Add (0,5)=70 Failed, w=98\",\"Add (0,4)=84 Failed, w=98\",\"Add (5,6)=88 Failed, w=98\",\"Add (1,3)=93 Failed, w=98\"],\"Answer\":98}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,3,61],[0,4,84],[0,5,70],[0,6,17],[1,2,33],[1,3,93],[1,4,55],[1,6,21],[2,3,28],[2,4,18],[2,5,7],[2,6,21],[3,4,42],[3,5,26],[3,6,43],[4,5,67],[4,6,67],[5,6,88]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=7,(0,1)=9,(0,6)=17,(2,4)=18,(1,6)=21,(2,6)=21,(3,5)=26,(2,3)=28,(1,2)=33,(3,4)=42,(3,6)=43,(1,4)=55,(0,3)=61,(4,5)=67,(4,6)=67,(0,5)=70,(0,4)=84,(5,6)=88,(1,3)=93]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=7 Succeeded, w=7\",\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=16\",\"Find(0)=0, Find(6)=6, Add (0,6)=17 Succeeded, w=33\",\"Find(2)=2, Find(4)=4, Add (2,4)=18 Succeeded, w=51\",\"Find(1)=0, Find(6)=0, Add (1,6)=21 Failed, w=51\",\"Find(2)=2, Find(6)=0, Add (2,6)=21 Succeeded, w=72\",\"Find(3)=3, Find(5)=2, Add (3,5)=26 Succeeded, w=98\",\"Find(2)=2, Find(3)=2, Add (2,3)=28 Failed, w=98\",\"Find(1)=2, Find(2)=2, Add (1,2)=33 Failed, w=98\",\"Find(3)=2, Find(4)=2, Add (3,4)=42 Failed, w=98\",\"Find(3)=2, Find(6)=2, Add (3,6)=43 Failed, w=98\",\"Find(1)=2, Find(4)=2, Add (1,4)=55 Failed, w=98\",\"Find(0)=2, Find(3)=2, Add (0,3)=61 Failed, w=98\",\"Find(4)=2, Find(5)=2, Add (4,5)=67 Failed, w=98\",\"Find(4)=2, Find(6)=2, Add (4,6)=67 Failed, w=98\",\"Find(0)=2, Find(5)=2, Add (0,5)=70 Failed, w=98\",\"Find(0)=2, Find(4)=2, Add (0,4)=84 Failed, w=98\",\"Find(5)=2, Find(6)=2, Add (5,6)=88 Failed, w=98\",\"Find(1)=2, Find(3)=2, Add (1,3)=93 Failed, w=98\"],\"Answer\":98}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,3,61],[0,4,84],[0,5,70],[0,6,17],[1,2,33],[1,3,93],[1,4,55],[1,6,21],[2,3,28],[2,4,18],[2,5,7],[2,6,21],[3,4,42],[3,5,26],[3,6,43],[4,5,67],[4,6,67],[5,6,88]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=7,(0,1)=9,(0,6)=17,(2,4)=18,(1,6)=21,(2,6)=21,(3,5)=26,(2,3)=28,(1,2)=33,(3,4)=42,(3,6)=43,(1,4)=55,(0,3)=61,(4,5)=67,(4,6)=67,(0,5)=70,(0,4)=84,(5,6)=88,(1,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=17 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 2, 6: 0}, Find(2)=2, Find(4)=4, Add (2,4)=18 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 2, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=21 Failed, w=51\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 3, 4: 2, 5: 2, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=21 Succeeded, w=72\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0}, Find(3)=3, Find(5)=2, Add (3,5)=26 Succeeded, w=98\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0}, Find(2)=2, Find(3)=2, Add (2,3)=28 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0}, Find(1)=2, Find(2)=2, Add (1,2)=33 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0}, Find(3)=2, Find(4)=2, Add (3,4)=42 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=43 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=55 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=61 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=67 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=67 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=70 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=84 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=88 Failed, w=98\",\"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=98\"],\"Answer\":98}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,49],[0,4,97],[0,5,85],[0,6,67],[1,3,47],[1,4,1],[1,5,37],[1,6,16],[1,7,14],[2,3,22],[2,5,69],[2,6,99],[2,7,43],[3,5,56],[4,5,4],[4,6,27],[4,7,92],[5,6,11],[5,7,22],[6,7,75]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,49],[0,4,97],[0,5,85],[0,6,67],[1,3,47],[1,4,1],[1,5,37],[1,6,16],[1,7,14],[2,3,22],[2,5,69],[2,6,99],[2,7,43],[3,5,56],[4,5,4],[4,6,27],[4,7,92],[5,6,11],[5,7,22],[6,7,75]]}", "role": "user" }, { "content": "{\"Answer\":144}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,49],[0,4,97],[0,5,85],[0,6,67],[1,3,47],[1,4,1],[1,5,37],[1,6,16],[1,7,14],[2,3,22],[2,5,69],[2,6,99],[2,7,43],[3,5,56],[4,5,4],[4,6,27],[4,7,92],[5,6,11],[5,7,22],[6,7,75]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)\",\"Add (4,5)\",\"Add (5,6)\",\"Add (1,7)\",\"Add (2,3)\",\"Add (2,7)\",\"Add (0,2)\"],\"Answer\":144}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,49],[0,4,97],[0,5,85],[0,6,67],[1,3,47],[1,4,1],[1,5,37],[1,6,16],[1,7,14],[2,3,22],[2,5,69],[2,6,99],[2,7,43],[3,5,56],[4,5,4],[4,6,27],[4,7,92],[5,6,11],[5,7,22],[6,7,75]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=1, w=1\",\"Add (4,5)=4, w=5\",\"Add (5,6)=11, w=16\",\"Add (1,7)=14, w=30\",\"Add (2,3)=22, w=52\",\"Add (2,7)=43, w=95\",\"Add (0,2)=49, w=144\"],\"Answer\":144}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,49],[0,4,97],[0,5,85],[0,6,67],[1,3,47],[1,4,1],[1,5,37],[1,6,16],[1,7,14],[2,3,22],[2,5,69],[2,6,99],[2,7,43],[3,5,56],[4,5,4],[4,6,27],[4,7,92],[5,6,11],[5,7,22],[6,7,75]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=1 Succeeded, w=1\",\"Add (4,5)=4 Succeeded, w=5\",\"Add (5,6)=11 Succeeded, w=16\",\"Add (1,7)=14 Succeeded, w=30\",\"Add (1,6)=16 Failed, w=30\",\"Add (2,3)=22 Succeeded, w=52\",\"Add (5,7)=22 Failed, w=52\",\"Add (4,6)=27 Failed, w=52\",\"Add (1,5)=37 Failed, w=52\",\"Add (2,7)=43 Succeeded, w=95\",\"Add (1,3)=47 Failed, w=95\",\"Add (0,2)=49 Succeeded, w=144\",\"Add (3,5)=56 Failed, w=144\",\"Add (0,6)=67 Failed, w=144\",\"Add (2,5)=69 Failed, w=144\",\"Add (6,7)=75 Failed, w=144\",\"Add (0,5)=85 Failed, w=144\",\"Add (4,7)=92 Failed, w=144\",\"Add (0,4)=97 Failed, w=144\",\"Add (2,6)=99 Failed, w=144\"],\"Answer\":144}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,49],[0,4,97],[0,5,85],[0,6,67],[1,3,47],[1,4,1],[1,5,37],[1,6,16],[1,7,14],[2,3,22],[2,5,69],[2,6,99],[2,7,43],[3,5,56],[4,5,4],[4,6,27],[4,7,92],[5,6,11],[5,7,22],[6,7,75]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=1,(4,5)=4,(5,6)=11,(1,7)=14,(1,6)=16,(2,3)=22,(5,7)=22,(4,6)=27,(1,5)=37,(2,7)=43,(1,3)=47,(0,2)=49,(3,5)=56,(0,6)=67,(2,5)=69,(6,7)=75,(0,5)=85,(4,7)=92,(0,4)=97,(2,6)=99]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Find(4)=1, Find(5)=5, Add (4,5)=4 Succeeded, w=5\",\"Find(5)=1, Find(6)=6, Add (5,6)=11 Succeeded, w=16\",\"Find(1)=1, Find(7)=7, Add (1,7)=14 Succeeded, w=30\",\"Find(1)=1, Find(6)=1, Add (1,6)=16 Failed, w=30\",\"Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=52\",\"Find(5)=1, Find(7)=1, Add (5,7)=22 Failed, w=52\",\"Find(4)=1, Find(6)=1, Add (4,6)=27 Failed, w=52\",\"Find(1)=1, Find(5)=1, Add (1,5)=37 Failed, w=52\",\"Find(2)=2, Find(7)=1, Add (2,7)=43 Succeeded, w=95\",\"Find(1)=2, Find(3)=2, Add (1,3)=47 Failed, w=95\",\"Find(0)=0, Find(2)=2, Add (0,2)=49 Succeeded, w=144\",\"Find(3)=2, Find(5)=2, Add (3,5)=56 Failed, w=144\",\"Find(0)=2, Find(6)=2, Add (0,6)=67 Failed, w=144\",\"Find(2)=2, Find(5)=2, Add (2,5)=69 Failed, w=144\",\"Find(6)=2, Find(7)=2, Add (6,7)=75 Failed, w=144\",\"Find(0)=2, Find(5)=2, Add (0,5)=85 Failed, w=144\",\"Find(4)=2, Find(7)=2, Add (4,7)=92 Failed, w=144\",\"Find(0)=2, Find(4)=2, Add (0,4)=97 Failed, w=144\",\"Find(2)=2, Find(6)=2, Add (2,6)=99 Failed, w=144\"],\"Answer\":144}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,49],[0,4,97],[0,5,85],[0,6,67],[1,3,47],[1,4,1],[1,5,37],[1,6,16],[1,7,14],[2,3,22],[2,5,69],[2,6,99],[2,7,43],[3,5,56],[4,5,4],[4,6,27],[4,7,92],[5,6,11],[5,7,22],[6,7,75]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=1,(4,5)=4,(5,6)=11,(1,7)=14,(1,6)=16,(2,3)=22,(5,7)=22,(4,6)=27,(1,5)=37,(2,7)=43,(1,3)=47,(0,2)=49,(3,5)=56,(0,6)=67,(2,5)=69,(6,7)=75,(0,5)=85,(4,7)=92,(0,4)=97,(2,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 6, 7: 7}, Find(4)=1, Find(5)=5, Add (4,5)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 1, 7: 7}, Find(5)=1, Find(6)=6, Add (5,6)=11 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=14 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=16 Failed, w=30\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=52\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=22 Failed, w=52\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=27 Failed, w=52\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=37 Failed, w=52\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=2, Find(7)=1, Add (2,7)=43 Succeeded, w=95\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=2, Find(3)=2, Add (1,3)=47 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=0, Find(2)=2, Add (0,2)=49 Succeeded, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 1, 7: 1}, Find(3)=2, Find(5)=2, Add (3,5)=56 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 1}, Find(0)=2, Find(6)=2, Add (0,6)=67 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 1}, Find(2)=2, Find(5)=2, Add (2,5)=69 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=75 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=85 Failed, w=144\",\"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)=92 Failed, w=144\",\"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)=97 Failed, w=144\",\"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)=99 Failed, w=144\"],\"Answer\":144}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,94],[0,2,0],[0,3,83],[0,4,8],[1,2,13],[1,3,51],[2,3,76],[2,4,99],[3,4,63]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,0],[0,3,83],[0,4,8],[1,2,13],[1,3,51],[2,3,76],[2,4,99],[3,4,63]]}", "role": "user" }, { "content": "{\"Answer\":72}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,0],[0,3,83],[0,4,8],[1,2,13],[1,3,51],[2,3,76],[2,4,99],[3,4,63]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":72}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,0],[0,3,83],[0,4,8],[1,2,13],[1,3,51],[2,3,76],[2,4,99],[3,4,63]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=0, w=0\",\"Add (0,4)=8, w=8\",\"Add (1,2)=13, w=21\",\"Add (1,3)=51, w=72\"],\"Answer\":72}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,0],[0,3,83],[0,4,8],[1,2,13],[1,3,51],[2,3,76],[2,4,99],[3,4,63]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=0 Succeeded, w=0\",\"Add (0,4)=8 Succeeded, w=8\",\"Add (1,2)=13 Succeeded, w=21\",\"Add (1,3)=51 Succeeded, w=72\",\"Add (3,4)=63 Failed, w=72\",\"Add (2,3)=76 Failed, w=72\",\"Add (0,3)=83 Failed, w=72\",\"Add (0,1)=94 Failed, w=72\",\"Add (2,4)=99 Failed, w=72\"],\"Answer\":72}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,0],[0,3,83],[0,4,8],[1,2,13],[1,3,51],[2,3,76],[2,4,99],[3,4,63]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=0,(0,4)=8,(1,2)=13,(1,3)=51,(3,4)=63,(2,3)=76,(0,3)=83,(0,1)=94,(2,4)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=8\",\"Find(1)=1, Find(2)=0, Add (1,2)=13 Succeeded, w=21\",\"Find(1)=0, Find(3)=3, Add (1,3)=51 Succeeded, w=72\",\"Find(3)=0, Find(4)=0, Add (3,4)=63 Failed, w=72\",\"Find(2)=0, Find(3)=0, Add (2,3)=76 Failed, w=72\",\"Find(0)=0, Find(3)=0, Add (0,3)=83 Failed, w=72\",\"Find(0)=0, Find(1)=0, Add (0,1)=94 Failed, w=72\",\"Find(2)=0, Find(4)=0, Add (2,4)=99 Failed, w=72\"],\"Answer\":72}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,0],[0,3,83],[0,4,8],[1,2,13],[1,3,51],[2,3,76],[2,4,99],[3,4,63]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=0,(0,4)=8,(1,2)=13,(1,3)=51,(3,4)=63,(2,3)=76,(0,3)=83,(0,1)=94,(2,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=1, Find(2)=0, Add (1,2)=13 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=3, Add (1,3)=51 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=63 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=76 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=83 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=94 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=99 Failed, w=72\"],\"Answer\":72}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,83],[0,3,33],[1,3,58],[2,3,99],[2,4,82],[3,4,81]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,83],[0,3,33],[1,3,58],[2,3,99],[2,4,82],[3,4,81]]}", "role": "user" }, { "content": "{\"Answer\":254}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,83],[0,3,33],[1,3,58],[2,3,99],[2,4,82],[3,4,81]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (3,4)\",\"Add (2,4)\"],\"Answer\":254}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,83],[0,3,33],[1,3,58],[2,3,99],[2,4,82],[3,4,81]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=33, w=33\",\"Add (1,3)=58, w=91\",\"Add (3,4)=81, w=172\",\"Add (2,4)=82, w=254\"],\"Answer\":254}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,83],[0,3,33],[1,3,58],[2,3,99],[2,4,82],[3,4,81]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=33 Succeeded, w=33\",\"Add (1,3)=58 Succeeded, w=91\",\"Add (3,4)=81 Succeeded, w=172\",\"Add (2,4)=82 Succeeded, w=254\",\"Add (0,2)=83 Failed, w=254\",\"Add (2,3)=99 Failed, w=254\"],\"Answer\":254}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,83],[0,3,33],[1,3,58],[2,3,99],[2,4,82],[3,4,81]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=33,(1,3)=58,(3,4)=81,(2,4)=82,(0,2)=83,(2,3)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=33 Succeeded, w=33\",\"Find(1)=1, Find(3)=0, Add (1,3)=58 Succeeded, w=91\",\"Find(3)=0, Find(4)=4, Add (3,4)=81 Succeeded, w=172\",\"Find(2)=2, Find(4)=0, Add (2,4)=82 Succeeded, w=254\",\"Find(0)=0, Find(2)=0, Add (0,2)=83 Failed, w=254\",\"Find(2)=0, Find(3)=0, Add (2,3)=99 Failed, w=254\"],\"Answer\":254}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,83],[0,3,33],[1,3,58],[2,3,99],[2,4,82],[3,4,81]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=33,(1,3)=58,(3,4)=81,(2,4)=82,(0,2)=83,(2,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=33 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(1)=1, Find(3)=0, Add (1,3)=58 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=81 Succeeded, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=82 Succeeded, w=254\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=83 Failed, w=254\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=99 Failed, w=254\"],\"Answer\":254}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,94],[0,2,54],[0,3,44],[1,2,54],[1,3,99],[2,3,18]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,54],[0,3,44],[1,2,54],[1,3,99],[2,3,18]]}", "role": "user" }, { "content": "{\"Answer\":116}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,54],[0,3,44],[1,2,54],[1,3,99],[2,3,18]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":116}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,54],[0,3,44],[1,2,54],[1,3,99],[2,3,18]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=18, w=18\",\"Add (0,3)=44, w=62\",\"Add (1,2)=54, w=116\"],\"Answer\":116}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,54],[0,3,44],[1,2,54],[1,3,99],[2,3,18]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=18 Succeeded, w=18\",\"Add (0,3)=44 Succeeded, w=62\",\"Add (0,2)=54 Failed, w=62\",\"Add (1,2)=54 Succeeded, w=116\",\"Add (0,1)=94 Failed, w=116\",\"Add (1,3)=99 Failed, w=116\"],\"Answer\":116}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,54],[0,3,44],[1,2,54],[1,3,99],[2,3,18]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=18,(0,3)=44,(0,2)=54,(1,2)=54,(0,1)=94,(1,3)=99]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=18\",\"Find(0)=0, Find(3)=2, Add (0,3)=44 Succeeded, w=62\",\"Find(0)=2, Find(2)=2, Add (0,2)=54 Failed, w=62\",\"Find(1)=1, Find(2)=2, Add (1,2)=54 Succeeded, w=116\",\"Find(0)=2, Find(1)=2, Add (0,1)=94 Failed, w=116\",\"Find(1)=2, Find(3)=2, Add (1,3)=99 Failed, w=116\"],\"Answer\":116}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,54],[0,3,44],[1,2,54],[1,3,99],[2,3,18]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=18,(0,3)=44,(0,2)=54,(1,2)=54,(0,1)=94,(1,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=18\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=44 Succeeded, w=62\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=54 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=54 Succeeded, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=94 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=99 Failed, w=116\"],\"Answer\":116}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,18],[0,4,22],[1,3,97],[1,5,91],[3,4,48],[4,5,23]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,18],[0,4,22],[1,3,97],[1,5,91],[3,4,48],[4,5,23]]}", "role": "user" }, { "content": "{\"Answer\":154}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,18],[0,4,22],[1,3,97],[1,5,91],[3,4,48],[4,5,23]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (0,4)\",\"Add (4,5)\",\"Add (1,5)\"],\"Answer\":154}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,18],[0,4,22],[1,3,97],[1,5,91],[3,4,48],[4,5,23]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=18, w=18\",\"Add (0,4)=22, w=40\",\"Add (4,5)=23, w=63\",\"Add (1,5)=91, w=154\"],\"Answer\":154}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,18],[0,4,22],[1,3,97],[1,5,91],[3,4,48],[4,5,23]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=18 Succeeded, w=18\",\"Add (0,4)=22 Succeeded, w=40\",\"Add (4,5)=23 Succeeded, w=63\",\"Add (3,4)=48 Failed, w=63\",\"Add (1,5)=91 Succeeded, w=154\",\"Add (1,3)=97 Failed, w=154\"],\"Answer\":154}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,18],[0,4,22],[1,3,97],[1,5,91],[3,4,48],[4,5,23]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=18,(0,4)=22,(4,5)=23,(3,4)=48,(1,5)=91,(1,3)=97]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=18\",\"Find(0)=0, Find(4)=4, Add (0,4)=22 Succeeded, w=40\",\"Find(4)=0, Find(5)=5, Add (4,5)=23 Succeeded, w=63\",\"Find(3)=0, Find(4)=0, Add (3,4)=48 Failed, w=63\",\"Find(1)=1, Find(5)=0, Add (1,5)=91 Succeeded, w=154\",\"Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=154\"],\"Answer\":154}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,18],[0,4,22],[1,3,97],[1,5,91],[3,4,48],[4,5,23]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=18,(0,4)=22,(4,5)=23,(3,4)=48,(1,5)=91,(1,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=22 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=23 Succeeded, w=63\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=48 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=91 Succeeded, w=154\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=154\"],\"Answer\":154}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,71],[0,2,8],[0,3,92],[0,4,2],[0,5,72],[0,7,89],[1,2,81],[1,4,76],[1,5,22],[1,6,30],[1,7,21],[2,4,26],[2,5,87],[2,6,98],[2,7,99],[3,4,25],[3,5,5],[3,6,27],[3,7,62],[4,5,52],[4,6,48],[4,7,56],[5,6,19],[5,7,69],[6,7,65]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,2,8],[0,3,92],[0,4,2],[0,5,72],[0,7,89],[1,2,81],[1,4,76],[1,5,22],[1,6,30],[1,7,21],[2,4,26],[2,5,87],[2,6,98],[2,7,99],[3,4,25],[3,5,5],[3,6,27],[3,7,62],[4,5,52],[4,6,48],[4,7,56],[5,6,19],[5,7,69],[6,7,65]]}", "role": "user" }, { "content": "{\"Answer\":102}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,2,8],[0,3,92],[0,4,2],[0,5,72],[0,7,89],[1,2,81],[1,4,76],[1,5,22],[1,6,30],[1,7,21],[2,4,26],[2,5,87],[2,6,98],[2,7,99],[3,4,25],[3,5,5],[3,6,27],[3,7,62],[4,5,52],[4,6,48],[4,7,56],[5,6,19],[5,7,69],[6,7,65]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)\",\"Add (3,5)\",\"Add (0,2)\",\"Add (5,6)\",\"Add (1,7)\",\"Add (1,5)\",\"Add (3,4)\"],\"Answer\":102}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,2,8],[0,3,92],[0,4,2],[0,5,72],[0,7,89],[1,2,81],[1,4,76],[1,5,22],[1,6,30],[1,7,21],[2,4,26],[2,5,87],[2,6,98],[2,7,99],[3,4,25],[3,5,5],[3,6,27],[3,7,62],[4,5,52],[4,6,48],[4,7,56],[5,6,19],[5,7,69],[6,7,65]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)=2, w=2\",\"Add (3,5)=5, w=7\",\"Add (0,2)=8, w=15\",\"Add (5,6)=19, w=34\",\"Add (1,7)=21, w=55\",\"Add (1,5)=22, w=77\",\"Add (3,4)=25, w=102\"],\"Answer\":102}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,2,8],[0,3,92],[0,4,2],[0,5,72],[0,7,89],[1,2,81],[1,4,76],[1,5,22],[1,6,30],[1,7,21],[2,4,26],[2,5,87],[2,6,98],[2,7,99],[3,4,25],[3,5,5],[3,6,27],[3,7,62],[4,5,52],[4,6,48],[4,7,56],[5,6,19],[5,7,69],[6,7,65]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)=2 Succeeded, w=2\",\"Add (3,5)=5 Succeeded, w=7\",\"Add (0,2)=8 Succeeded, w=15\",\"Add (5,6)=19 Succeeded, w=34\",\"Add (1,7)=21 Succeeded, w=55\",\"Add (1,5)=22 Succeeded, w=77\",\"Add (3,4)=25 Succeeded, w=102\",\"Add (2,4)=26 Failed, w=102\",\"Add (3,6)=27 Failed, w=102\",\"Add (1,6)=30 Failed, w=102\",\"Add (4,6)=48 Failed, w=102\",\"Add (4,5)=52 Failed, w=102\",\"Add (4,7)=56 Failed, w=102\",\"Add (3,7)=62 Failed, w=102\",\"Add (6,7)=65 Failed, w=102\",\"Add (5,7)=69 Failed, w=102\",\"Add (0,1)=71 Failed, w=102\",\"Add (0,5)=72 Failed, w=102\",\"Add (1,4)=76 Failed, w=102\",\"Add (1,2)=81 Failed, w=102\",\"Add (2,5)=87 Failed, w=102\",\"Add (0,7)=89 Failed, w=102\",\"Add (0,3)=92 Failed, w=102\",\"Add (2,6)=98 Failed, w=102\",\"Add (2,7)=99 Failed, w=102\"],\"Answer\":102}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,2,8],[0,3,92],[0,4,2],[0,5,72],[0,7,89],[1,2,81],[1,4,76],[1,5,22],[1,6,30],[1,7,21],[2,4,26],[2,5,87],[2,6,98],[2,7,99],[3,4,25],[3,5,5],[3,6,27],[3,7,62],[4,5,52],[4,6,48],[4,7,56],[5,6,19],[5,7,69],[6,7,65]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,4)=2,(3,5)=5,(0,2)=8,(5,6)=19,(1,7)=21,(1,5)=22,(3,4)=25,(2,4)=26,(3,6)=27,(1,6)=30,(4,6)=48,(4,5)=52,(4,7)=56,(3,7)=62,(6,7)=65,(5,7)=69,(0,1)=71,(0,5)=72,(1,4)=76,(1,2)=81,(2,5)=87,(0,7)=89,(0,3)=92,(2,6)=98,(2,7)=99]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=7\",\"Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=15\",\"Find(5)=3, Find(6)=6, Add (5,6)=19 Succeeded, w=34\",\"Find(1)=1, Find(7)=7, Add (1,7)=21 Succeeded, w=55\",\"Find(1)=1, Find(5)=3, Add (1,5)=22 Succeeded, w=77\",\"Find(3)=1, Find(4)=0, Add (3,4)=25 Succeeded, w=102\",\"Find(2)=1, Find(4)=1, Add (2,4)=26 Failed, w=102\",\"Find(3)=1, Find(6)=1, Add (3,6)=27 Failed, w=102\",\"Find(1)=1, Find(6)=1, Add (1,6)=30 Failed, w=102\",\"Find(4)=1, Find(6)=1, Add (4,6)=48 Failed, w=102\",\"Find(4)=1, Find(5)=1, Add (4,5)=52 Failed, w=102\",\"Find(4)=1, Find(7)=1, Add (4,7)=56 Failed, w=102\",\"Find(3)=1, Find(7)=1, Add (3,7)=62 Failed, w=102\",\"Find(6)=1, Find(7)=1, Add (6,7)=65 Failed, w=102\",\"Find(5)=1, Find(7)=1, Add (5,7)=69 Failed, w=102\",\"Find(0)=1, Find(1)=1, Add (0,1)=71 Failed, w=102\",\"Find(0)=1, Find(5)=1, Add (0,5)=72 Failed, w=102\",\"Find(1)=1, Find(4)=1, Add (1,4)=76 Failed, w=102\",\"Find(1)=1, Find(2)=1, Add (1,2)=81 Failed, w=102\",\"Find(2)=1, Find(5)=1, Add (2,5)=87 Failed, w=102\",\"Find(0)=1, Find(7)=1, Add (0,7)=89 Failed, w=102\",\"Find(0)=1, Find(3)=1, Add (0,3)=92 Failed, w=102\",\"Find(2)=1, Find(6)=1, Add (2,6)=98 Failed, w=102\",\"Find(2)=1, Find(7)=1, Add (2,7)=99 Failed, w=102\"],\"Answer\":102}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,2,8],[0,3,92],[0,4,2],[0,5,72],[0,7,89],[1,2,81],[1,4,76],[1,5,22],[1,6,30],[1,7,21],[2,4,26],[2,5,87],[2,6,98],[2,7,99],[3,4,25],[3,5,5],[3,6,27],[3,7,62],[4,5,52],[4,6,48],[4,7,56],[5,6,19],[5,7,69],[6,7,65]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,4)=2,(3,5)=5,(0,2)=8,(5,6)=19,(1,7)=21,(1,5)=22,(3,4)=25,(2,4)=26,(3,6)=27,(1,6)=30,(4,6)=48,(4,5)=52,(4,7)=56,(3,7)=62,(6,7)=65,(5,7)=69,(0,1)=71,(0,5)=72,(1,4)=76,(1,2)=81,(2,5)=87,(0,7)=89,(0,3)=92,(2,6)=98,(2,7)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 3, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 3, 6: 3, 7: 7}, Find(5)=3, Find(6)=6, Add (5,6)=19 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 3, 6: 3, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=21 Succeeded, w=55\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 3, 6: 3, 7: 1}, Find(1)=1, Find(5)=3, Add (1,5)=22 Succeeded, w=77\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 0, 5: 3, 6: 3, 7: 1}, Find(3)=1, Find(4)=0, Add (3,4)=25 Succeeded, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 3, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=26 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=27 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=30 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=48 Failed, w=102\",\"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)=52 Failed, w=102\",\"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)=56 Failed, w=102\",\"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)=62 Failed, w=102\",\"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)=65 Failed, w=102\",\"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)=69 Failed, w=102\",\"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)=71 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=72 Failed, w=102\",\"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)=76 Failed, w=102\",\"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)=81 Failed, w=102\",\"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)=87 Failed, w=102\",\"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)=89 Failed, w=102\",\"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)=92 Failed, w=102\",\"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)=98 Failed, w=102\",\"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)=99 Failed, w=102\"],\"Answer\":102}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,91],[1,2,22],[1,3,95],[2,3,20]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,91],[1,2,22],[1,3,95],[2,3,20]]}", "role": "user" }, { "content": "{\"Answer\":133}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,91],[1,2,22],[1,3,95],[2,3,20]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":133}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,91],[1,2,22],[1,3,95],[2,3,20]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=20, w=20\",\"Add (1,2)=22, w=42\",\"Add (0,3)=91, w=133\"],\"Answer\":133}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,91],[1,2,22],[1,3,95],[2,3,20]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=20 Succeeded, w=20\",\"Add (1,2)=22 Succeeded, w=42\",\"Add (0,3)=91 Succeeded, w=133\",\"Add (1,3)=95 Failed, w=133\"],\"Answer\":133}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,91],[1,2,22],[1,3,95],[2,3,20]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=20,(1,2)=22,(0,3)=91,(1,3)=95]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=20 Succeeded, w=20\",\"Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=42\",\"Find(0)=0, Find(3)=2, Add (0,3)=91 Succeeded, w=133\",\"Find(1)=2, Find(3)=2, Add (1,3)=95 Failed, w=133\"],\"Answer\":133}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,91],[1,2,22],[1,3,95],[2,3,20]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=20,(1,2)=22,(0,3)=91,(1,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=42\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=91 Succeeded, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=95 Failed, w=133\"],\"Answer\":133}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,47],[0,4,69],[1,2,70],[1,4,17],[1,5,10],[2,3,1],[2,4,43],[2,5,64]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,47],[0,4,69],[1,2,70],[1,4,17],[1,5,10],[2,3,1],[2,4,43],[2,5,64]]}", "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\":[[0,1,47],[0,4,69],[1,2,70],[1,4,17],[1,5,10],[2,3,1],[2,4,43],[2,5,64]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (1,5)\",\"Add (1,4)\",\"Add (2,4)\",\"Add (0,1)\"],\"Answer\":118}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,47],[0,4,69],[1,2,70],[1,4,17],[1,5,10],[2,3,1],[2,4,43],[2,5,64]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (1,5)=10, w=11\",\"Add (1,4)=17, w=28\",\"Add (2,4)=43, w=71\",\"Add (0,1)=47, 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\":[[0,1,47],[0,4,69],[1,2,70],[1,4,17],[1,5,10],[2,3,1],[2,4,43],[2,5,64]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (1,5)=10 Succeeded, w=11\",\"Add (1,4)=17 Succeeded, w=28\",\"Add (2,4)=43 Succeeded, w=71\",\"Add (0,1)=47 Succeeded, w=118\",\"Add (2,5)=64 Failed, w=118\",\"Add (0,4)=69 Failed, w=118\",\"Add (1,2)=70 Failed, 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\":[[0,1,47],[0,4,69],[1,2,70],[1,4,17],[1,5,10],[2,3,1],[2,4,43],[2,5,64]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=1,(1,5)=10,(1,4)=17,(2,4)=43,(0,1)=47,(2,5)=64,(0,4)=69,(1,2)=70]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=11\",\"Find(1)=1, Find(4)=4, Add (1,4)=17 Succeeded, w=28\",\"Find(2)=2, Find(4)=1, Add (2,4)=43 Succeeded, w=71\",\"Find(0)=0, Find(1)=2, Add (0,1)=47 Succeeded, w=118\",\"Find(2)=2, Find(5)=2, Add (2,5)=64 Failed, w=118\",\"Find(0)=2, Find(4)=2, Add (0,4)=69 Failed, w=118\",\"Find(1)=2, Find(2)=2, Add (1,2)=70 Failed, 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\":[[0,1,47],[0,4,69],[1,2,70],[1,4,17],[1,5,10],[2,3,1],[2,4,43],[2,5,64]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=1,(1,5)=10,(1,4)=17,(2,4)=43,(0,1)=47,(2,5)=64,(0,4)=69,(1,2)=70]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1}, Find(1)=1, Find(4)=4, Add (1,4)=17 Succeeded, w=28\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 1, 5: 1}, Find(2)=2, Find(4)=1, Add (2,4)=43 Succeeded, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 1}, Find(0)=0, Find(1)=2, Add (0,1)=47 Succeeded, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=64 Failed, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=69 Failed, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=70 Failed, w=118\"],\"Answer\":118}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,79],[0,2,58],[0,4,97],[1,2,79],[1,3,79],[1,4,21],[2,3,45]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,58],[0,4,97],[1,2,79],[1,3,79],[1,4,21],[2,3,45]]}", "role": "user" }, { "content": "{\"Answer\":203}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,58],[0,4,97],[1,2,79],[1,3,79],[1,4,21],[2,3,45]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":203}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,58],[0,4,97],[1,2,79],[1,3,79],[1,4,21],[2,3,45]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=21, w=21\",\"Add (2,3)=45, w=66\",\"Add (0,2)=58, w=124\",\"Add (0,1)=79, w=203\"],\"Answer\":203}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,58],[0,4,97],[1,2,79],[1,3,79],[1,4,21],[2,3,45]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=21 Succeeded, w=21\",\"Add (2,3)=45 Succeeded, w=66\",\"Add (0,2)=58 Succeeded, w=124\",\"Add (0,1)=79 Succeeded, w=203\",\"Add (1,2)=79 Failed, w=203\",\"Add (1,3)=79 Failed, w=203\",\"Add (0,4)=97 Failed, w=203\"],\"Answer\":203}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,58],[0,4,97],[1,2,79],[1,3,79],[1,4,21],[2,3,45]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=21,(2,3)=45,(0,2)=58,(0,1)=79,(1,2)=79,(1,3)=79,(0,4)=97]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=21 Succeeded, w=21\",\"Find(2)=2, Find(3)=3, Add (2,3)=45 Succeeded, w=66\",\"Find(0)=0, Find(2)=2, Add (0,2)=58 Succeeded, w=124\",\"Find(0)=2, Find(1)=1, Add (0,1)=79 Succeeded, w=203\",\"Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=203\",\"Find(1)=2, Find(3)=2, Add (1,3)=79 Failed, w=203\",\"Find(0)=2, Find(4)=2, Add (0,4)=97 Failed, w=203\"],\"Answer\":203}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,58],[0,4,97],[1,2,79],[1,3,79],[1,4,21],[2,3,45]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=21,(2,3)=45,(0,2)=58,(0,1)=79,(1,2)=79,(1,3)=79,(0,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1}, Find(2)=2, Find(3)=3, Add (2,3)=45 Succeeded, w=66\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1}, Find(0)=0, Find(2)=2, Add (0,2)=58 Succeeded, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1}, Find(0)=2, Find(1)=1, Add (0,1)=79 Succeeded, w=203\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1}, Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=203\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1}, Find(1)=2, Find(3)=2, Add (1,3)=79 Failed, w=203\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=97 Failed, w=203\"],\"Answer\":203}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,4,83],[0,5,88],[1,3,19],[1,4,10],[1,5,18],[2,3,16],[2,5,67]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,83],[0,5,88],[1,3,19],[1,4,10],[1,5,18],[2,3,16],[2,5,67]]}", "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\":[[0,4,83],[0,5,88],[1,3,19],[1,4,10],[1,5,18],[2,3,16],[2,5,67]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)\",\"Add (2,3)\",\"Add (1,5)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":146}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,83],[0,5,88],[1,3,19],[1,4,10],[1,5,18],[2,3,16],[2,5,67]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=10, w=10\",\"Add (2,3)=16, w=26\",\"Add (1,5)=18, w=44\",\"Add (1,3)=19, w=63\",\"Add (0,4)=83, 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\":[[0,4,83],[0,5,88],[1,3,19],[1,4,10],[1,5,18],[2,3,16],[2,5,67]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=10 Succeeded, w=10\",\"Add (2,3)=16 Succeeded, w=26\",\"Add (1,5)=18 Succeeded, w=44\",\"Add (1,3)=19 Succeeded, w=63\",\"Add (2,5)=67 Failed, w=63\",\"Add (0,4)=83 Succeeded, w=146\",\"Add (0,5)=88 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\":[[0,4,83],[0,5,88],[1,3,19],[1,4,10],[1,5,18],[2,3,16],[2,5,67]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=10,(2,3)=16,(1,5)=18,(1,3)=19,(2,5)=67,(0,4)=83,(0,5)=88]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=10\",\"Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=26\",\"Find(1)=1, Find(5)=5, Add (1,5)=18 Succeeded, w=44\",\"Find(1)=1, Find(3)=2, Add (1,3)=19 Succeeded, w=63\",\"Find(2)=1, Find(5)=1, Add (2,5)=67 Failed, w=63\",\"Find(0)=0, Find(4)=1, Add (0,4)=83 Succeeded, w=146\",\"Find(0)=1, Find(5)=1, Add (0,5)=88 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\":[[0,4,83],[0,5,88],[1,3,19],[1,4,10],[1,5,18],[2,3,16],[2,5,67]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=10,(2,3)=16,(1,5)=18,(1,3)=19,(2,5)=67,(0,4)=83,(0,5)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=18 Succeeded, w=44\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 6}, Find(1)=1, Find(3)=2, Add (1,3)=19 Succeeded, w=63\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 6}, Find(2)=1, Find(5)=1, Add (2,5)=67 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 6}, Find(0)=0, Find(4)=1, Add (0,4)=83 Succeeded, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 6}, Find(0)=1, Find(5)=1, Add (0,5)=88 Failed, w=146\"],\"Answer\":146}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,93],[0,4,9],[0,5,44],[0,6,68],[1,4,23],[1,5,28],[1,6,40],[2,3,92],[2,4,80],[2,6,67],[3,5,46],[4,5,43],[4,6,93],[5,6,23]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,93],[0,4,9],[0,5,44],[0,6,68],[1,4,23],[1,5,28],[1,6,40],[2,3,92],[2,4,80],[2,6,67],[3,5,46],[4,5,43],[4,6,93],[5,6,23]]}", "role": "user" }, { "content": "{\"Answer\":196}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,93],[0,4,9],[0,5,44],[0,6,68],[1,4,23],[1,5,28],[1,6,40],[2,3,92],[2,4,80],[2,6,67],[3,5,46],[4,5,43],[4,6,93],[5,6,23]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)\",\"Add (1,4)\",\"Add (5,6)\",\"Add (1,5)\",\"Add (3,5)\",\"Add (2,6)\"],\"Answer\":196}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,93],[0,4,9],[0,5,44],[0,6,68],[1,4,23],[1,5,28],[1,6,40],[2,3,92],[2,4,80],[2,6,67],[3,5,46],[4,5,43],[4,6,93],[5,6,23]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)=9, w=9\",\"Add (1,4)=23, w=32\",\"Add (5,6)=23, w=55\",\"Add (1,5)=28, w=83\",\"Add (3,5)=46, w=129\",\"Add (2,6)=67, w=196\"],\"Answer\":196}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,93],[0,4,9],[0,5,44],[0,6,68],[1,4,23],[1,5,28],[1,6,40],[2,3,92],[2,4,80],[2,6,67],[3,5,46],[4,5,43],[4,6,93],[5,6,23]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)=9 Succeeded, w=9\",\"Add (1,4)=23 Succeeded, w=32\",\"Add (5,6)=23 Succeeded, w=55\",\"Add (1,5)=28 Succeeded, w=83\",\"Add (1,6)=40 Failed, w=83\",\"Add (4,5)=43 Failed, w=83\",\"Add (0,5)=44 Failed, w=83\",\"Add (3,5)=46 Succeeded, w=129\",\"Add (2,6)=67 Succeeded, w=196\",\"Add (0,6)=68 Failed, w=196\",\"Add (2,4)=80 Failed, w=196\",\"Add (2,3)=92 Failed, w=196\",\"Add (0,2)=93 Failed, w=196\",\"Add (4,6)=93 Failed, w=196\"],\"Answer\":196}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,93],[0,4,9],[0,5,44],[0,6,68],[1,4,23],[1,5,28],[1,6,40],[2,3,92],[2,4,80],[2,6,67],[3,5,46],[4,5,43],[4,6,93],[5,6,23]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,4)=9,(1,4)=23,(5,6)=23,(1,5)=28,(1,6)=40,(4,5)=43,(0,5)=44,(3,5)=46,(2,6)=67,(0,6)=68,(2,4)=80,(2,3)=92,(0,2)=93,(4,6)=93]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=9\",\"Find(1)=1, Find(4)=0, Add (1,4)=23 Succeeded, w=32\",\"Find(5)=5, Find(6)=6, Add (5,6)=23 Succeeded, w=55\",\"Find(1)=0, Find(5)=5, Add (1,5)=28 Succeeded, w=83\",\"Find(1)=0, Find(6)=0, Add (1,6)=40 Failed, w=83\",\"Find(4)=0, Find(5)=0, Add (4,5)=43 Failed, w=83\",\"Find(0)=0, Find(5)=0, Add (0,5)=44 Failed, w=83\",\"Find(3)=3, Find(5)=0, Add (3,5)=46 Succeeded, w=129\",\"Find(2)=2, Find(6)=0, Add (2,6)=67 Succeeded, w=196\",\"Find(0)=0, Find(6)=0, Add (0,6)=68 Failed, w=196\",\"Find(2)=0, Find(4)=0, Add (2,4)=80 Failed, w=196\",\"Find(2)=0, Find(3)=0, Add (2,3)=92 Failed, w=196\",\"Find(0)=0, Find(2)=0, Add (0,2)=93 Failed, w=196\",\"Find(4)=0, Find(6)=0, Add (4,6)=93 Failed, w=196\"],\"Answer\":196}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,93],[0,4,9],[0,5,44],[0,6,68],[1,4,23],[1,5,28],[1,6,40],[2,3,92],[2,4,80],[2,6,67],[3,5,46],[4,5,43],[4,6,93],[5,6,23]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,4)=9,(1,4)=23,(5,6)=23,(1,5)=28,(1,6)=40,(4,5)=43,(0,5)=44,(3,5)=46,(2,6)=67,(0,6)=68,(2,4)=80,(2,3)=92,(0,2)=93,(4,6)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(1)=1, Find(4)=0, Add (1,4)=23 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=23 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 5}, Find(1)=0, Find(5)=5, Add (1,5)=28 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=40 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=43 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=44 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=3, Find(5)=0, Add (3,5)=46 Succeeded, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=67 Succeeded, w=196\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=68 Failed, w=196\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=80 Failed, w=196\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=92 Failed, w=196\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=93 Failed, w=196\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=93 Failed, w=196\"],\"Answer\":196}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,26],[0,2,68],[0,3,99],[0,4,46],[0,5,20],[0,6,64],[0,7,25],[1,2,53],[1,3,83],[1,4,80],[1,5,35],[1,6,81],[1,7,63],[2,3,28],[2,4,93],[2,5,20],[2,6,72],[2,7,33],[3,4,42],[3,5,67],[3,6,25],[3,7,100],[4,5,19],[4,6,16],[4,7,28],[5,6,8],[5,7,87],[6,7,80]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,68],[0,3,99],[0,4,46],[0,5,20],[0,6,64],[0,7,25],[1,2,53],[1,3,83],[1,4,80],[1,5,35],[1,6,81],[1,7,63],[2,3,28],[2,4,93],[2,5,20],[2,6,72],[2,7,33],[3,4,42],[3,5,67],[3,6,25],[3,7,100],[4,5,19],[4,6,16],[4,7,28],[5,6,8],[5,7,87],[6,7,80]]}", "role": "user" }, { "content": "{\"Answer\":140}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,68],[0,3,99],[0,4,46],[0,5,20],[0,6,64],[0,7,25],[1,2,53],[1,3,83],[1,4,80],[1,5,35],[1,6,81],[1,7,63],[2,3,28],[2,4,93],[2,5,20],[2,6,72],[2,7,33],[3,4,42],[3,5,67],[3,6,25],[3,7,100],[4,5,19],[4,6,16],[4,7,28],[5,6,8],[5,7,87],[6,7,80]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)\",\"Add (4,6)\",\"Add (0,5)\",\"Add (2,5)\",\"Add (0,7)\",\"Add (3,6)\",\"Add (0,1)\"],\"Answer\":140}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,68],[0,3,99],[0,4,46],[0,5,20],[0,6,64],[0,7,25],[1,2,53],[1,3,83],[1,4,80],[1,5,35],[1,6,81],[1,7,63],[2,3,28],[2,4,93],[2,5,20],[2,6,72],[2,7,33],[3,4,42],[3,5,67],[3,6,25],[3,7,100],[4,5,19],[4,6,16],[4,7,28],[5,6,8],[5,7,87],[6,7,80]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)=8, w=8\",\"Add (4,6)=16, w=24\",\"Add (0,5)=20, w=44\",\"Add (2,5)=20, w=64\",\"Add (0,7)=25, w=89\",\"Add (3,6)=25, w=114\",\"Add (0,1)=26, w=140\"],\"Answer\":140}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,68],[0,3,99],[0,4,46],[0,5,20],[0,6,64],[0,7,25],[1,2,53],[1,3,83],[1,4,80],[1,5,35],[1,6,81],[1,7,63],[2,3,28],[2,4,93],[2,5,20],[2,6,72],[2,7,33],[3,4,42],[3,5,67],[3,6,25],[3,7,100],[4,5,19],[4,6,16],[4,7,28],[5,6,8],[5,7,87],[6,7,80]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)=8 Succeeded, w=8\",\"Add (4,6)=16 Succeeded, w=24\",\"Add (4,5)=19 Failed, w=24\",\"Add (0,5)=20 Succeeded, w=44\",\"Add (2,5)=20 Succeeded, w=64\",\"Add (0,7)=25 Succeeded, w=89\",\"Add (3,6)=25 Succeeded, w=114\",\"Add (0,1)=26 Succeeded, w=140\",\"Add (2,3)=28 Failed, w=140\",\"Add (4,7)=28 Failed, w=140\",\"Add (2,7)=33 Failed, w=140\",\"Add (1,5)=35 Failed, w=140\",\"Add (3,4)=42 Failed, w=140\",\"Add (0,4)=46 Failed, w=140\",\"Add (1,2)=53 Failed, w=140\",\"Add (1,7)=63 Failed, w=140\",\"Add (0,6)=64 Failed, w=140\",\"Add (3,5)=67 Failed, w=140\",\"Add (0,2)=68 Failed, w=140\",\"Add (2,6)=72 Failed, w=140\",\"Add (1,4)=80 Failed, w=140\",\"Add (6,7)=80 Failed, w=140\",\"Add (1,6)=81 Failed, w=140\",\"Add (1,3)=83 Failed, w=140\",\"Add (5,7)=87 Failed, w=140\",\"Add (2,4)=93 Failed, w=140\",\"Add (0,3)=99 Failed, w=140\",\"Add (3,7)=100 Failed, w=140\"],\"Answer\":140}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,68],[0,3,99],[0,4,46],[0,5,20],[0,6,64],[0,7,25],[1,2,53],[1,3,83],[1,4,80],[1,5,35],[1,6,81],[1,7,63],[2,3,28],[2,4,93],[2,5,20],[2,6,72],[2,7,33],[3,4,42],[3,5,67],[3,6,25],[3,7,100],[4,5,19],[4,6,16],[4,7,28],[5,6,8],[5,7,87],[6,7,80]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(5,6)=8,(4,6)=16,(4,5)=19,(0,5)=20,(2,5)=20,(0,7)=25,(3,6)=25,(0,1)=26,(2,3)=28,(4,7)=28,(2,7)=33,(1,5)=35,(3,4)=42,(0,4)=46,(1,2)=53,(1,7)=63,(0,6)=64,(3,5)=67,(0,2)=68,(2,6)=72,(1,4)=80,(6,7)=80,(1,6)=81,(1,3)=83,(5,7)=87,(2,4)=93,(0,3)=99,(3,7)=100]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=8 Succeeded, w=8\",\"Find(4)=4, Find(6)=5, Add (4,6)=16 Succeeded, w=24\",\"Find(4)=5, Find(5)=5, Add (4,5)=19 Failed, w=24\",\"Find(0)=0, Find(5)=5, Add (0,5)=20 Succeeded, w=44\",\"Find(2)=2, Find(5)=5, Add (2,5)=20 Succeeded, w=64\",\"Find(0)=5, Find(7)=7, Add (0,7)=25 Succeeded, w=89\",\"Find(3)=3, Find(6)=5, Add (3,6)=25 Succeeded, w=114\",\"Find(0)=5, Find(1)=1, Add (0,1)=26 Succeeded, w=140\",\"Find(2)=5, Find(3)=5, Add (2,3)=28 Failed, w=140\",\"Find(4)=5, Find(7)=5, Add (4,7)=28 Failed, w=140\",\"Find(2)=5, Find(7)=5, Add (2,7)=33 Failed, w=140\",\"Find(1)=5, Find(5)=5, Add (1,5)=35 Failed, w=140\",\"Find(3)=5, Find(4)=5, Add (3,4)=42 Failed, w=140\",\"Find(0)=5, Find(4)=5, Add (0,4)=46 Failed, w=140\",\"Find(1)=5, Find(2)=5, Add (1,2)=53 Failed, w=140\",\"Find(1)=5, Find(7)=5, Add (1,7)=63 Failed, w=140\",\"Find(0)=5, Find(6)=5, Add (0,6)=64 Failed, w=140\",\"Find(3)=5, Find(5)=5, Add (3,5)=67 Failed, w=140\",\"Find(0)=5, Find(2)=5, Add (0,2)=68 Failed, w=140\",\"Find(2)=5, Find(6)=5, Add (2,6)=72 Failed, w=140\",\"Find(1)=5, Find(4)=5, Add (1,4)=80 Failed, w=140\",\"Find(6)=5, Find(7)=5, Add (6,7)=80 Failed, w=140\",\"Find(1)=5, Find(6)=5, Add (1,6)=81 Failed, w=140\",\"Find(1)=5, Find(3)=5, Add (1,3)=83 Failed, w=140\",\"Find(5)=5, Find(7)=5, Add (5,7)=87 Failed, w=140\",\"Find(2)=5, Find(4)=5, Add (2,4)=93 Failed, w=140\",\"Find(0)=5, Find(3)=5, Add (0,3)=99 Failed, w=140\",\"Find(3)=5, Find(7)=5, Add (3,7)=100 Failed, w=140\"],\"Answer\":140}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,68],[0,3,99],[0,4,46],[0,5,20],[0,6,64],[0,7,25],[1,2,53],[1,3,83],[1,4,80],[1,5,35],[1,6,81],[1,7,63],[2,3,28],[2,4,93],[2,5,20],[2,6,72],[2,7,33],[3,4,42],[3,5,67],[3,6,25],[3,7,100],[4,5,19],[4,6,16],[4,7,28],[5,6,8],[5,7,87],[6,7,80]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(5,6)=8,(4,6)=16,(4,5)=19,(0,5)=20,(2,5)=20,(0,7)=25,(3,6)=25,(0,1)=26,(2,3)=28,(4,7)=28,(2,7)=33,(1,5)=35,(3,4)=42,(0,4)=46,(1,2)=53,(1,7)=63,(0,6)=64,(3,5)=67,(0,2)=68,(2,6)=72,(1,4)=80,(6,7)=80,(1,6)=81,(1,3)=83,(5,7)=87,(2,4)=93,(0,3)=99,(3,7)=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)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 5, 5: 5, 6: 5, 7: 7}, Find(4)=4, Find(6)=5, Add (4,6)=16 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 5, 5: 5, 6: 5, 7: 7}, Find(4)=5, Find(5)=5, Add (4,5)=19 Failed, w=24\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 5, 5: 5, 6: 5, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=20 Succeeded, w=44\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 3, 4: 5, 5: 5, 6: 5, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=20 Succeeded, w=64\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 3, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(7)=7, Add (0,7)=25 Succeeded, w=89\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=3, Find(6)=5, Add (3,6)=25 Succeeded, w=114\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(1)=1, Add (0,1)=26 Succeeded, w=140\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(3)=5, Add (2,3)=28 Failed, w=140\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=5, Find(7)=5, Add (4,7)=28 Failed, w=140\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(7)=5, Add (2,7)=33 Failed, w=140\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(5)=5, Add (1,5)=35 Failed, w=140\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(4)=5, Add (3,4)=42 Failed, w=140\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(4)=5, Add (0,4)=46 Failed, w=140\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(2)=5, Add (1,2)=53 Failed, w=140\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(7)=5, Add (1,7)=63 Failed, w=140\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(6)=5, Add (0,6)=64 Failed, w=140\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(5)=5, Add (3,5)=67 Failed, w=140\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(2)=5, Add (0,2)=68 Failed, w=140\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(6)=5, Add (2,6)=72 Failed, w=140\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(4)=5, Add (1,4)=80 Failed, w=140\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(6)=5, Find(7)=5, Add (6,7)=80 Failed, w=140\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(6)=5, Add (1,6)=81 Failed, w=140\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(3)=5, Add (1,3)=83 Failed, w=140\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(5)=5, Find(7)=5, Add (5,7)=87 Failed, w=140\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(4)=5, Add (2,4)=93 Failed, w=140\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(3)=5, Add (0,3)=99 Failed, w=140\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(7)=5, Add (3,7)=100 Failed, w=140\"],\"Answer\":140}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,79],[0,2,7],[0,3,50],[0,4,76],[0,5,88],[0,6,19],[0,7,41],[1,3,94],[1,4,2],[1,6,81],[1,7,21],[2,3,75],[2,5,90],[3,4,17],[3,5,59],[3,7,58],[4,6,52],[4,7,54],[5,6,55],[5,7,11],[6,7,17]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,7],[0,3,50],[0,4,76],[0,5,88],[0,6,19],[0,7,41],[1,3,94],[1,4,2],[1,6,81],[1,7,21],[2,3,75],[2,5,90],[3,4,17],[3,5,59],[3,7,58],[4,6,52],[4,7,54],[5,6,55],[5,7,11],[6,7,17]]}", "role": "user" }, { "content": "{\"Answer\":94}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,7],[0,3,50],[0,4,76],[0,5,88],[0,6,19],[0,7,41],[1,3,94],[1,4,2],[1,6,81],[1,7,21],[2,3,75],[2,5,90],[3,4,17],[3,5,59],[3,7,58],[4,6,52],[4,7,54],[5,6,55],[5,7,11],[6,7,17]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)\",\"Add (0,2)\",\"Add (5,7)\",\"Add (3,4)\",\"Add (6,7)\",\"Add (0,6)\",\"Add (1,7)\"],\"Answer\":94}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,7],[0,3,50],[0,4,76],[0,5,88],[0,6,19],[0,7,41],[1,3,94],[1,4,2],[1,6,81],[1,7,21],[2,3,75],[2,5,90],[3,4,17],[3,5,59],[3,7,58],[4,6,52],[4,7,54],[5,6,55],[5,7,11],[6,7,17]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=2, w=2\",\"Add (0,2)=7, w=9\",\"Add (5,7)=11, w=20\",\"Add (3,4)=17, w=37\",\"Add (6,7)=17, w=54\",\"Add (0,6)=19, w=73\",\"Add (1,7)=21, w=94\"],\"Answer\":94}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,7],[0,3,50],[0,4,76],[0,5,88],[0,6,19],[0,7,41],[1,3,94],[1,4,2],[1,6,81],[1,7,21],[2,3,75],[2,5,90],[3,4,17],[3,5,59],[3,7,58],[4,6,52],[4,7,54],[5,6,55],[5,7,11],[6,7,17]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=2 Succeeded, w=2\",\"Add (0,2)=7 Succeeded, w=9\",\"Add (5,7)=11 Succeeded, w=20\",\"Add (3,4)=17 Succeeded, w=37\",\"Add (6,7)=17 Succeeded, w=54\",\"Add (0,6)=19 Succeeded, w=73\",\"Add (1,7)=21 Succeeded, w=94\",\"Add (0,7)=41 Failed, w=94\",\"Add (0,3)=50 Failed, w=94\",\"Add (4,6)=52 Failed, w=94\",\"Add (4,7)=54 Failed, w=94\",\"Add (5,6)=55 Failed, w=94\",\"Add (3,7)=58 Failed, w=94\",\"Add (3,5)=59 Failed, w=94\",\"Add (2,3)=75 Failed, w=94\",\"Add (0,4)=76 Failed, w=94\",\"Add (0,1)=79 Failed, w=94\",\"Add (1,6)=81 Failed, w=94\",\"Add (0,5)=88 Failed, w=94\",\"Add (2,5)=90 Failed, w=94\",\"Add (1,3)=94 Failed, w=94\"],\"Answer\":94}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,7],[0,3,50],[0,4,76],[0,5,88],[0,6,19],[0,7,41],[1,3,94],[1,4,2],[1,6,81],[1,7,21],[2,3,75],[2,5,90],[3,4,17],[3,5,59],[3,7,58],[4,6,52],[4,7,54],[5,6,55],[5,7,11],[6,7,17]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=2,(0,2)=7,(5,7)=11,(3,4)=17,(6,7)=17,(0,6)=19,(1,7)=21,(0,7)=41,(0,3)=50,(4,6)=52,(4,7)=54,(5,6)=55,(3,7)=58,(3,5)=59,(2,3)=75,(0,4)=76,(0,1)=79,(1,6)=81,(0,5)=88,(2,5)=90,(1,3)=94]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=9\",\"Find(5)=5, Find(7)=7, Add (5,7)=11 Succeeded, w=20\",\"Find(3)=3, Find(4)=1, Add (3,4)=17 Succeeded, w=37\",\"Find(6)=6, Find(7)=5, Add (6,7)=17 Succeeded, w=54\",\"Find(0)=0, Find(6)=5, Add (0,6)=19 Succeeded, w=73\",\"Find(1)=1, Find(7)=0, Add (1,7)=21 Succeeded, w=94\",\"Find(0)=0, Find(7)=0, Add (0,7)=41 Failed, w=94\",\"Find(0)=0, Find(3)=0, Add (0,3)=50 Failed, w=94\",\"Find(4)=0, Find(6)=0, Add (4,6)=52 Failed, w=94\",\"Find(4)=0, Find(7)=0, Add (4,7)=54 Failed, w=94\",\"Find(5)=0, Find(6)=0, Add (5,6)=55 Failed, w=94\",\"Find(3)=0, Find(7)=0, Add (3,7)=58 Failed, w=94\",\"Find(3)=0, Find(5)=0, Add (3,5)=59 Failed, w=94\",\"Find(2)=0, Find(3)=0, Add (2,3)=75 Failed, w=94\",\"Find(0)=0, Find(4)=0, Add (0,4)=76 Failed, w=94\",\"Find(0)=0, Find(1)=0, Add (0,1)=79 Failed, w=94\",\"Find(1)=0, Find(6)=0, Add (1,6)=81 Failed, w=94\",\"Find(0)=0, Find(5)=0, Add (0,5)=88 Failed, w=94\",\"Find(2)=0, Find(5)=0, Add (2,5)=90 Failed, w=94\",\"Find(1)=0, Find(3)=0, Add (1,3)=94 Failed, w=94\"],\"Answer\":94}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,7],[0,3,50],[0,4,76],[0,5,88],[0,6,19],[0,7,41],[1,3,94],[1,4,2],[1,6,81],[1,7,21],[2,3,75],[2,5,90],[3,4,17],[3,5,59],[3,7,58],[4,6,52],[4,7,54],[5,6,55],[5,7,11],[6,7,17]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=2,(0,2)=7,(5,7)=11,(3,4)=17,(6,7)=17,(0,6)=19,(1,7)=21,(0,7)=41,(0,3)=50,(4,6)=52,(4,7)=54,(5,6)=55,(3,7)=58,(3,5)=59,(2,3)=75,(0,4)=76,(0,1)=79,(1,6)=81,(0,5)=88,(2,5)=90,(1,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=11 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 5, 6: 6, 7: 5}, Find(3)=3, Find(4)=1, Add (3,4)=17 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 5, 6: 5, 7: 5}, Find(6)=6, Find(7)=5, Add (6,7)=17 Succeeded, w=54\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 0, 6: 5, 7: 5}, Find(0)=0, Find(6)=5, Add (0,6)=19 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0, 6: 5, 7: 0}, Find(1)=1, Find(7)=0, Add (1,7)=21 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0, 6: 5, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=41 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 5, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=50 Failed, w=94\",\"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)=52 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=54 Failed, w=94\",\"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)=55 Failed, w=94\",\"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)=58 Failed, w=94\",\"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)=59 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=75 Failed, w=94\",\"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)=76 Failed, w=94\",\"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)=79 Failed, w=94\",\"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)=81 Failed, w=94\",\"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)=88 Failed, w=94\",\"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)=90 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=94 Failed, w=94\"],\"Answer\":94}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,3],[0,3,60],[0,4,66],[0,5,54],[0,6,95],[1,2,2],[1,3,58],[1,4,82],[1,5,7],[2,3,100],[2,5,57],[2,6,13],[3,6,11],[4,5,85],[4,6,68],[5,6,31]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,3],[0,3,60],[0,4,66],[0,5,54],[0,6,95],[1,2,2],[1,3,58],[1,4,82],[1,5,7],[2,3,100],[2,5,57],[2,6,13],[3,6,11],[4,5,85],[4,6,68],[5,6,31]]}", "role": "user" }, { "content": "{\"Answer\":102}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,3],[0,3,60],[0,4,66],[0,5,54],[0,6,95],[1,2,2],[1,3,58],[1,4,82],[1,5,7],[2,3,100],[2,5,57],[2,6,13],[3,6,11],[4,5,85],[4,6,68],[5,6,31]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (1,5)\",\"Add (3,6)\",\"Add (2,6)\",\"Add (0,4)\"],\"Answer\":102}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,3],[0,3,60],[0,4,66],[0,5,54],[0,6,95],[1,2,2],[1,3,58],[1,4,82],[1,5,7],[2,3,100],[2,5,57],[2,6,13],[3,6,11],[4,5,85],[4,6,68],[5,6,31]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=2, w=2\",\"Add (0,2)=3, w=5\",\"Add (1,5)=7, w=12\",\"Add (3,6)=11, w=23\",\"Add (2,6)=13, w=36\",\"Add (0,4)=66, w=102\"],\"Answer\":102}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,3],[0,3,60],[0,4,66],[0,5,54],[0,6,95],[1,2,2],[1,3,58],[1,4,82],[1,5,7],[2,3,100],[2,5,57],[2,6,13],[3,6,11],[4,5,85],[4,6,68],[5,6,31]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=2 Succeeded, w=2\",\"Add (0,2)=3 Succeeded, w=5\",\"Add (1,5)=7 Succeeded, w=12\",\"Add (3,6)=11 Succeeded, w=23\",\"Add (2,6)=13 Succeeded, w=36\",\"Add (5,6)=31 Failed, w=36\",\"Add (0,5)=54 Failed, w=36\",\"Add (2,5)=57 Failed, w=36\",\"Add (1,3)=58 Failed, w=36\",\"Add (0,3)=60 Failed, w=36\",\"Add (0,4)=66 Succeeded, w=102\",\"Add (4,6)=68 Failed, w=102\",\"Add (1,4)=82 Failed, w=102\",\"Add (4,5)=85 Failed, w=102\",\"Add (0,6)=95 Failed, w=102\",\"Add (2,3)=100 Failed, w=102\"],\"Answer\":102}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,3],[0,3,60],[0,4,66],[0,5,54],[0,6,95],[1,2,2],[1,3,58],[1,4,82],[1,5,7],[2,3,100],[2,5,57],[2,6,13],[3,6,11],[4,5,85],[4,6,68],[5,6,31]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=2,(0,2)=3,(1,5)=7,(3,6)=11,(2,6)=13,(5,6)=31,(0,5)=54,(2,5)=57,(1,3)=58,(0,3)=60,(0,4)=66,(4,6)=68,(1,4)=82,(4,5)=85,(0,6)=95,(2,3)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Find(0)=0, Find(2)=1, Add (0,2)=3 Succeeded, w=5\",\"Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=12\",\"Find(3)=3, Find(6)=6, Add (3,6)=11 Succeeded, w=23\",\"Find(2)=1, Find(6)=3, Add (2,6)=13 Succeeded, w=36\",\"Find(5)=1, Find(6)=1, Add (5,6)=31 Failed, w=36\",\"Find(0)=1, Find(5)=1, Add (0,5)=54 Failed, w=36\",\"Find(2)=1, Find(5)=1, Add (2,5)=57 Failed, w=36\",\"Find(1)=1, Find(3)=1, Add (1,3)=58 Failed, w=36\",\"Find(0)=1, Find(3)=1, Add (0,3)=60 Failed, w=36\",\"Find(0)=1, Find(4)=4, Add (0,4)=66 Succeeded, w=102\",\"Find(4)=1, Find(6)=1, Add (4,6)=68 Failed, w=102\",\"Find(1)=1, Find(4)=1, Add (1,4)=82 Failed, w=102\",\"Find(4)=1, Find(5)=1, Add (4,5)=85 Failed, w=102\",\"Find(0)=1, Find(6)=1, Add (0,6)=95 Failed, w=102\",\"Find(2)=1, Find(3)=1, Add (2,3)=100 Failed, w=102\"],\"Answer\":102}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,3],[0,3,60],[0,4,66],[0,5,54],[0,6,95],[1,2,2],[1,3,58],[1,4,82],[1,5,7],[2,3,100],[2,5,57],[2,6,13],[3,6,11],[4,5,85],[4,6,68],[5,6,31]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=2,(0,2)=3,(1,5)=7,(3,6)=11,(2,6)=13,(5,6)=31,(0,5)=54,(2,5)=57,(1,3)=58,(0,3)=60,(0,4)=66,(4,6)=68,(1,4)=82,(4,5)=85,(0,6)=95,(2,3)=100]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=1, Add (0,2)=3 Succeeded, w=5\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=12\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=11 Succeeded, w=23\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 3}, Find(2)=1, Find(6)=3, Add (2,6)=13 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=31 Failed, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=54 Failed, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=57 Failed, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=58 Failed, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=60 Failed, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=4, Add (0,4)=66 Succeeded, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=68 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=82 Failed, w=102\",\"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=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=95 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=100 Failed, w=102\"],\"Answer\":102}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,24],[0,2,38],[0,3,93],[0,4,35],[0,5,27],[0,6,22],[1,2,46],[1,3,77],[1,4,34],[1,5,1],[1,6,92],[2,4,96],[2,5,50],[2,6,40],[3,4,70],[3,5,17],[3,6,65],[4,6,62],[5,6,44]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,24],[0,2,38],[0,3,93],[0,4,35],[0,5,27],[0,6,22],[1,2,46],[1,3,77],[1,4,34],[1,5,1],[1,6,92],[2,4,96],[2,5,50],[2,6,40],[3,4,70],[3,5,17],[3,6,65],[4,6,62],[5,6,44]]}", "role": "user" }, { "content": "{\"Answer\":136}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,24],[0,2,38],[0,3,93],[0,4,35],[0,5,27],[0,6,22],[1,2,46],[1,3,77],[1,4,34],[1,5,1],[1,6,92],[2,4,96],[2,5,50],[2,6,40],[3,4,70],[3,5,17],[3,6,65],[4,6,62],[5,6,44]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)\",\"Add (3,5)\",\"Add (0,6)\",\"Add (0,1)\",\"Add (1,4)\",\"Add (0,2)\"],\"Answer\":136}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,24],[0,2,38],[0,3,93],[0,4,35],[0,5,27],[0,6,22],[1,2,46],[1,3,77],[1,4,34],[1,5,1],[1,6,92],[2,4,96],[2,5,50],[2,6,40],[3,4,70],[3,5,17],[3,6,65],[4,6,62],[5,6,44]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)=1, w=1\",\"Add (3,5)=17, w=18\",\"Add (0,6)=22, w=40\",\"Add (0,1)=24, w=64\",\"Add (1,4)=34, w=98\",\"Add (0,2)=38, w=136\"],\"Answer\":136}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,24],[0,2,38],[0,3,93],[0,4,35],[0,5,27],[0,6,22],[1,2,46],[1,3,77],[1,4,34],[1,5,1],[1,6,92],[2,4,96],[2,5,50],[2,6,40],[3,4,70],[3,5,17],[3,6,65],[4,6,62],[5,6,44]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)=1 Succeeded, w=1\",\"Add (3,5)=17 Succeeded, w=18\",\"Add (0,6)=22 Succeeded, w=40\",\"Add (0,1)=24 Succeeded, w=64\",\"Add (0,5)=27 Failed, w=64\",\"Add (1,4)=34 Succeeded, w=98\",\"Add (0,4)=35 Failed, w=98\",\"Add (0,2)=38 Succeeded, w=136\",\"Add (2,6)=40 Failed, w=136\",\"Add (5,6)=44 Failed, w=136\",\"Add (1,2)=46 Failed, w=136\",\"Add (2,5)=50 Failed, w=136\",\"Add (4,6)=62 Failed, w=136\",\"Add (3,6)=65 Failed, w=136\",\"Add (3,4)=70 Failed, w=136\",\"Add (1,3)=77 Failed, w=136\",\"Add (1,6)=92 Failed, w=136\",\"Add (0,3)=93 Failed, w=136\",\"Add (2,4)=96 Failed, w=136\"],\"Answer\":136}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,24],[0,2,38],[0,3,93],[0,4,35],[0,5,27],[0,6,22],[1,2,46],[1,3,77],[1,4,34],[1,5,1],[1,6,92],[2,4,96],[2,5,50],[2,6,40],[3,4,70],[3,5,17],[3,6,65],[4,6,62],[5,6,44]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,5)=1,(3,5)=17,(0,6)=22,(0,1)=24,(0,5)=27,(1,4)=34,(0,4)=35,(0,2)=38,(2,6)=40,(5,6)=44,(1,2)=46,(2,5)=50,(4,6)=62,(3,6)=65,(3,4)=70,(1,3)=77,(1,6)=92,(0,3)=93,(2,4)=96]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Find(3)=3, Find(5)=1, Add (3,5)=17 Succeeded, w=18\",\"Find(0)=0, Find(6)=6, Add (0,6)=22 Succeeded, w=40\",\"Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=64\",\"Find(0)=0, Find(5)=0, Add (0,5)=27 Failed, w=64\",\"Find(1)=0, Find(4)=4, Add (1,4)=34 Succeeded, w=98\",\"Find(0)=0, Find(4)=0, Add (0,4)=35 Failed, w=98\",\"Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=136\",\"Find(2)=0, Find(6)=0, Add (2,6)=40 Failed, w=136\",\"Find(5)=0, Find(6)=0, Add (5,6)=44 Failed, w=136\",\"Find(1)=0, Find(2)=0, Add (1,2)=46 Failed, w=136\",\"Find(2)=0, Find(5)=0, Add (2,5)=50 Failed, w=136\",\"Find(4)=0, Find(6)=0, Add (4,6)=62 Failed, w=136\",\"Find(3)=0, Find(6)=0, Add (3,6)=65 Failed, w=136\",\"Find(3)=0, Find(4)=0, Add (3,4)=70 Failed, w=136\",\"Find(1)=0, Find(3)=0, Add (1,3)=77 Failed, w=136\",\"Find(1)=0, Find(6)=0, Add (1,6)=92 Failed, w=136\",\"Find(0)=0, Find(3)=0, Add (0,3)=93 Failed, w=136\",\"Find(2)=0, Find(4)=0, Add (2,4)=96 Failed, w=136\"],\"Answer\":136}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,24],[0,2,38],[0,3,93],[0,4,35],[0,5,27],[0,6,22],[1,2,46],[1,3,77],[1,4,34],[1,5,1],[1,6,92],[2,4,96],[2,5,50],[2,6,40],[3,4,70],[3,5,17],[3,6,65],[4,6,62],[5,6,44]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,5)=1,(3,5)=17,(0,6)=22,(0,1)=24,(0,5)=27,(1,4)=34,(0,4)=35,(0,2)=38,(2,6)=40,(5,6)=44,(1,2)=46,(2,5)=50,(4,6)=62,(3,6)=65,(3,4)=70,(1,3)=77,(1,6)=92,(0,3)=93,(2,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6}, Find(3)=3, Find(5)=1, Add (3,5)=17 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=22 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 4, 5: 1, 6: 0}, Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=27 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=4, Add (1,4)=34 Succeeded, w=98\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=35 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=40 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=44 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=46 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=50 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=62 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=65 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=70 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=77 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=92 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=93 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=96 Failed, w=136\"],\"Answer\":136}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,60],[0,2,37],[0,3,100],[0,4,7],[0,5,13],[1,2,26],[1,3,89],[1,4,38],[1,5,66],[2,3,26],[2,4,7],[3,5,35],[4,5,22]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,37],[0,3,100],[0,4,7],[0,5,13],[1,2,26],[1,3,89],[1,4,38],[1,5,66],[2,3,26],[2,4,7],[3,5,35],[4,5,22]]}", "role": "user" }, { "content": "{\"Answer\":79}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,37],[0,3,100],[0,4,7],[0,5,13],[1,2,26],[1,3,89],[1,4,38],[1,5,66],[2,3,26],[2,4,7],[3,5,35],[4,5,22]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)\",\"Add (2,4)\",\"Add (0,5)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":79}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,37],[0,3,100],[0,4,7],[0,5,13],[1,2,26],[1,3,89],[1,4,38],[1,5,66],[2,3,26],[2,4,7],[3,5,35],[4,5,22]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)=7, w=7\",\"Add (2,4)=7, w=14\",\"Add (0,5)=13, w=27\",\"Add (1,2)=26, w=53\",\"Add (2,3)=26, w=79\"],\"Answer\":79}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,37],[0,3,100],[0,4,7],[0,5,13],[1,2,26],[1,3,89],[1,4,38],[1,5,66],[2,3,26],[2,4,7],[3,5,35],[4,5,22]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)=7 Succeeded, w=7\",\"Add (2,4)=7 Succeeded, w=14\",\"Add (0,5)=13 Succeeded, w=27\",\"Add (4,5)=22 Failed, w=27\",\"Add (1,2)=26 Succeeded, w=53\",\"Add (2,3)=26 Succeeded, w=79\",\"Add (3,5)=35 Failed, w=79\",\"Add (0,2)=37 Failed, w=79\",\"Add (1,4)=38 Failed, w=79\",\"Add (0,1)=60 Failed, w=79\",\"Add (1,5)=66 Failed, w=79\",\"Add (1,3)=89 Failed, w=79\",\"Add (0,3)=100 Failed, w=79\"],\"Answer\":79}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,37],[0,3,100],[0,4,7],[0,5,13],[1,2,26],[1,3,89],[1,4,38],[1,5,66],[2,3,26],[2,4,7],[3,5,35],[4,5,22]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,4)=7,(2,4)=7,(0,5)=13,(4,5)=22,(1,2)=26,(2,3)=26,(3,5)=35,(0,2)=37,(1,4)=38,(0,1)=60,(1,5)=66,(1,3)=89,(0,3)=100]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=7\",\"Find(2)=2, Find(4)=0, Add (2,4)=7 Succeeded, w=14\",\"Find(0)=0, Find(5)=5, Add (0,5)=13 Succeeded, w=27\",\"Find(4)=0, Find(5)=0, Add (4,5)=22 Failed, w=27\",\"Find(1)=1, Find(2)=0, Add (1,2)=26 Succeeded, w=53\",\"Find(2)=0, Find(3)=3, Add (2,3)=26 Succeeded, w=79\",\"Find(3)=0, Find(5)=0, Add (3,5)=35 Failed, w=79\",\"Find(0)=0, Find(2)=0, Add (0,2)=37 Failed, w=79\",\"Find(1)=0, Find(4)=0, Add (1,4)=38 Failed, w=79\",\"Find(0)=0, Find(1)=0, Add (0,1)=60 Failed, w=79\",\"Find(1)=0, Find(5)=0, Add (1,5)=66 Failed, w=79\",\"Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=79\",\"Find(0)=0, Find(3)=0, Add (0,3)=100 Failed, w=79\"],\"Answer\":79}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,37],[0,3,100],[0,4,7],[0,5,13],[1,2,26],[1,3,89],[1,4,38],[1,5,66],[2,3,26],[2,4,7],[3,5,35],[4,5,22]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,4)=7,(2,4)=7,(0,5)=13,(4,5)=22,(1,2)=26,(2,3)=26,(3,5)=35,(0,2)=37,(1,4)=38,(0,1)=60,(1,5)=66,(1,3)=89,(0,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5}, Find(2)=2, Find(4)=0, Add (2,4)=7 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=13 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=22 Failed, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=1, Find(2)=0, Add (1,2)=26 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=3, Add (2,3)=26 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=35 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=37 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=38 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=60 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=66 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=100 Failed, w=79\"],\"Answer\":79}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,31],[0,2,90],[0,3,44],[1,2,40],[1,3,67],[2,3,97]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,90],[0,3,44],[1,2,40],[1,3,67],[2,3,97]]}", "role": "user" }, { "content": "{\"Answer\":115}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,90],[0,3,44],[1,2,40],[1,3,67],[2,3,97]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":115}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,90],[0,3,44],[1,2,40],[1,3,67],[2,3,97]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=31, w=31\",\"Add (1,2)=40, w=71\",\"Add (0,3)=44, w=115\"],\"Answer\":115}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,90],[0,3,44],[1,2,40],[1,3,67],[2,3,97]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=31 Succeeded, w=31\",\"Add (1,2)=40 Succeeded, w=71\",\"Add (0,3)=44 Succeeded, w=115\",\"Add (1,3)=67 Failed, w=115\",\"Add (0,2)=90 Failed, w=115\",\"Add (2,3)=97 Failed, w=115\"],\"Answer\":115}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,90],[0,3,44],[1,2,40],[1,3,67],[2,3,97]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=31,(1,2)=40,(0,3)=44,(1,3)=67,(0,2)=90,(2,3)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=31\",\"Find(1)=0, Find(2)=2, Add (1,2)=40 Succeeded, w=71\",\"Find(0)=0, Find(3)=3, Add (0,3)=44 Succeeded, w=115\",\"Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=115\",\"Find(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=115\",\"Find(2)=0, Find(3)=0, Add (2,3)=97 Failed, w=115\"],\"Answer\":115}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,90],[0,3,44],[1,2,40],[1,3,67],[2,3,97]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=31,(1,2)=40,(0,3)=44,(1,3)=67,(0,2)=90,(2,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=2, Add (1,2)=40 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=44 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(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=97 Failed, w=115\"],\"Answer\":115}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,3],[0,3,34],[1,2,65],[1,3,51],[2,3,66]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,3],[0,3,34],[1,2,65],[1,3,51],[2,3,66]]}", "role": "user" }, { "content": "{\"Answer\":88}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,3],[0,3,34],[1,2,65],[1,3,51],[2,3,66]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":88}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,3],[0,3,34],[1,2,65],[1,3,51],[2,3,66]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=3, w=3\",\"Add (0,3)=34, w=37\",\"Add (1,3)=51, w=88\"],\"Answer\":88}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,3],[0,3,34],[1,2,65],[1,3,51],[2,3,66]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=3 Succeeded, w=3\",\"Add (0,3)=34 Succeeded, w=37\",\"Add (1,3)=51 Succeeded, w=88\",\"Add (1,2)=65 Failed, w=88\",\"Add (2,3)=66 Failed, w=88\"],\"Answer\":88}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,3],[0,3,34],[1,2,65],[1,3,51],[2,3,66]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=3,(0,3)=34,(1,3)=51,(1,2)=65,(2,3)=66]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(0)=0, Find(3)=3, Add (0,3)=34 Succeeded, w=37\",\"Find(1)=1, Find(3)=0, Add (1,3)=51 Succeeded, w=88\",\"Find(1)=0, Find(2)=0, Add (1,2)=65 Failed, w=88\",\"Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=88\"],\"Answer\":88}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,3],[0,3,34],[1,2,65],[1,3,51],[2,3,66]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=3,(0,3)=34,(1,3)=51,(1,2)=65,(2,3)=66]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=34 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=51 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=65 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=88\"],\"Answer\":88}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,32],[0,2,79],[0,3,71],[0,4,65],[1,2,80],[1,3,0],[1,4,90],[2,3,75],[2,4,19],[3,4,45]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,79],[0,3,71],[0,4,65],[1,2,80],[1,3,0],[1,4,90],[2,3,75],[2,4,19],[3,4,45]]}", "role": "user" }, { "content": "{\"Answer\":96}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,79],[0,3,71],[0,4,65],[1,2,80],[1,3,0],[1,4,90],[2,3,75],[2,4,19],[3,4,45]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (2,4)\",\"Add (0,1)\",\"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\":[[0,1,32],[0,2,79],[0,3,71],[0,4,65],[1,2,80],[1,3,0],[1,4,90],[2,3,75],[2,4,19],[3,4,45]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (2,4)=19, w=19\",\"Add (0,1)=32, w=51\",\"Add (3,4)=45, w=96\"],\"Answer\":96}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,79],[0,3,71],[0,4,65],[1,2,80],[1,3,0],[1,4,90],[2,3,75],[2,4,19],[3,4,45]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (2,4)=19 Succeeded, w=19\",\"Add (0,1)=32 Succeeded, w=51\",\"Add (3,4)=45 Succeeded, w=96\",\"Add (0,4)=65 Failed, w=96\",\"Add (0,3)=71 Failed, w=96\",\"Add (2,3)=75 Failed, w=96\",\"Add (0,2)=79 Failed, w=96\",\"Add (1,2)=80 Failed, w=96\",\"Add (1,4)=90 Failed, w=96\"],\"Answer\":96}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,79],[0,3,71],[0,4,65],[1,2,80],[1,3,0],[1,4,90],[2,3,75],[2,4,19],[3,4,45]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=0,(2,4)=19,(0,1)=32,(3,4)=45,(0,4)=65,(0,3)=71,(2,3)=75,(0,2)=79,(1,2)=80,(1,4)=90]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(2)=2, Find(4)=4, Add (2,4)=19 Succeeded, w=19\",\"Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=51\",\"Find(3)=1, Find(4)=2, Add (3,4)=45 Succeeded, w=96\",\"Find(0)=1, Find(4)=1, Add (0,4)=65 Failed, w=96\",\"Find(0)=1, Find(3)=1, Add (0,3)=71 Failed, w=96\",\"Find(2)=1, Find(3)=1, Add (2,3)=75 Failed, w=96\",\"Find(0)=1, Find(2)=1, Add (0,2)=79 Failed, w=96\",\"Find(1)=1, Find(2)=1, Add (1,2)=80 Failed, w=96\",\"Find(1)=1, Find(4)=1, Add (1,4)=90 Failed, w=96\"],\"Answer\":96}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,79],[0,3,71],[0,4,65],[1,2,80],[1,3,0],[1,4,90],[2,3,75],[2,4,19],[3,4,45]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=0,(2,4)=19,(0,1)=32,(3,4)=45,(0,4)=65,(0,3)=71,(2,3)=75,(0,2)=79,(1,2)=80,(1,4)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=19 Succeeded, w=19\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2}, Find(3)=1, Find(4)=2, Add (3,4)=45 Succeeded, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=65 Failed, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=71 Failed, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=75 Failed, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=79 Failed, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=80 Failed, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=90 Failed, w=96\"],\"Answer\":96}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,85],[0,2,100],[0,3,27],[1,2,35],[1,3,83],[2,3,73]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,2,100],[0,3,27],[1,2,35],[1,3,83],[2,3,73]]}", "role": "user" }, { "content": "{\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,2,100],[0,3,27],[1,2,35],[1,3,83],[2,3,73]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,2,100],[0,3,27],[1,2,35],[1,3,83],[2,3,73]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=27, w=27\",\"Add (1,2)=35, w=62\",\"Add (2,3)=73, w=135\"],\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,2,100],[0,3,27],[1,2,35],[1,3,83],[2,3,73]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=27 Succeeded, w=27\",\"Add (1,2)=35 Succeeded, w=62\",\"Add (2,3)=73 Succeeded, w=135\",\"Add (1,3)=83 Failed, w=135\",\"Add (0,1)=85 Failed, w=135\",\"Add (0,2)=100 Failed, w=135\"],\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,2,100],[0,3,27],[1,2,35],[1,3,83],[2,3,73]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=27,(1,2)=35,(2,3)=73,(1,3)=83,(0,1)=85,(0,2)=100]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=27 Succeeded, w=27\",\"Find(1)=1, Find(2)=2, Add (1,2)=35 Succeeded, w=62\",\"Find(2)=1, Find(3)=0, Add (2,3)=73 Succeeded, w=135\",\"Find(1)=1, Find(3)=1, Add (1,3)=83 Failed, w=135\",\"Find(0)=1, Find(1)=1, Add (0,1)=85 Failed, w=135\",\"Find(0)=1, Find(2)=1, Add (0,2)=100 Failed, w=135\"],\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,2,100],[0,3,27],[1,2,35],[1,3,83],[2,3,73]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=27,(1,2)=35,(2,3)=73,(1,3)=83,(0,1)=85,(0,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=35 Succeeded, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(2)=1, Find(3)=0, Add (2,3)=73 Succeeded, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=83 Failed, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=85 Failed, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=100 Failed, w=135\"],\"Answer\":135}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,34],[0,2,28],[0,3,35],[0,4,47],[0,5,18],[0,7,45],[1,2,36],[1,5,8],[1,7,47],[2,3,83],[2,4,95],[2,6,32],[3,4,23],[3,5,39],[3,6,59],[3,7,86],[4,5,20],[4,6,49],[5,7,95]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,28],[0,3,35],[0,4,47],[0,5,18],[0,7,45],[1,2,36],[1,5,8],[1,7,47],[2,3,83],[2,4,95],[2,6,32],[3,4,23],[3,5,39],[3,6,59],[3,7,86],[4,5,20],[4,6,49],[5,7,95]]}", "role": "user" }, { "content": "{\"Answer\":174}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,28],[0,3,35],[0,4,47],[0,5,18],[0,7,45],[1,2,36],[1,5,8],[1,7,47],[2,3,83],[2,4,95],[2,6,32],[3,4,23],[3,5,39],[3,6,59],[3,7,86],[4,5,20],[4,6,49],[5,7,95]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)\",\"Add (0,5)\",\"Add (4,5)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (2,6)\",\"Add (0,7)\"],\"Answer\":174}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,28],[0,3,35],[0,4,47],[0,5,18],[0,7,45],[1,2,36],[1,5,8],[1,7,47],[2,3,83],[2,4,95],[2,6,32],[3,4,23],[3,5,39],[3,6,59],[3,7,86],[4,5,20],[4,6,49],[5,7,95]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)=8, w=8\",\"Add (0,5)=18, w=26\",\"Add (4,5)=20, w=46\",\"Add (3,4)=23, w=69\",\"Add (0,2)=28, w=97\",\"Add (2,6)=32, w=129\",\"Add (0,7)=45, w=174\"],\"Answer\":174}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,28],[0,3,35],[0,4,47],[0,5,18],[0,7,45],[1,2,36],[1,5,8],[1,7,47],[2,3,83],[2,4,95],[2,6,32],[3,4,23],[3,5,39],[3,6,59],[3,7,86],[4,5,20],[4,6,49],[5,7,95]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)=8 Succeeded, w=8\",\"Add (0,5)=18 Succeeded, w=26\",\"Add (4,5)=20 Succeeded, w=46\",\"Add (3,4)=23 Succeeded, w=69\",\"Add (0,2)=28 Succeeded, w=97\",\"Add (2,6)=32 Succeeded, w=129\",\"Add (0,1)=34 Failed, w=129\",\"Add (0,3)=35 Failed, w=129\",\"Add (1,2)=36 Failed, w=129\",\"Add (3,5)=39 Failed, w=129\",\"Add (0,7)=45 Succeeded, w=174\",\"Add (0,4)=47 Failed, w=174\",\"Add (1,7)=47 Failed, w=174\",\"Add (4,6)=49 Failed, w=174\",\"Add (3,6)=59 Failed, w=174\",\"Add (2,3)=83 Failed, w=174\",\"Add (3,7)=86 Failed, w=174\",\"Add (2,4)=95 Failed, w=174\",\"Add (5,7)=95 Failed, w=174\"],\"Answer\":174}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,28],[0,3,35],[0,4,47],[0,5,18],[0,7,45],[1,2,36],[1,5,8],[1,7,47],[2,3,83],[2,4,95],[2,6,32],[3,4,23],[3,5,39],[3,6,59],[3,7,86],[4,5,20],[4,6,49],[5,7,95]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,5)=8,(0,5)=18,(4,5)=20,(3,4)=23,(0,2)=28,(2,6)=32,(0,1)=34,(0,3)=35,(1,2)=36,(3,5)=39,(0,7)=45,(0,4)=47,(1,7)=47,(4,6)=49,(3,6)=59,(2,3)=83,(3,7)=86,(2,4)=95,(5,7)=95]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=8 Succeeded, w=8\",\"Find(0)=0, Find(5)=1, Add (0,5)=18 Succeeded, w=26\",\"Find(4)=4, Find(5)=1, Add (4,5)=20 Succeeded, w=46\",\"Find(3)=3, Find(4)=1, Add (3,4)=23 Succeeded, w=69\",\"Find(0)=1, Find(2)=2, Add (0,2)=28 Succeeded, w=97\",\"Find(2)=1, Find(6)=6, Add (2,6)=32 Succeeded, w=129\",\"Find(0)=1, Find(1)=1, Add (0,1)=34 Failed, w=129\",\"Find(0)=1, Find(3)=1, Add (0,3)=35 Failed, w=129\",\"Find(1)=1, Find(2)=1, Add (1,2)=36 Failed, w=129\",\"Find(3)=1, Find(5)=1, Add (3,5)=39 Failed, w=129\",\"Find(0)=1, Find(7)=7, Add (0,7)=45 Succeeded, w=174\",\"Find(0)=1, Find(4)=1, Add (0,4)=47 Failed, w=174\",\"Find(1)=1, Find(7)=1, Add (1,7)=47 Failed, w=174\",\"Find(4)=1, Find(6)=1, Add (4,6)=49 Failed, w=174\",\"Find(3)=1, Find(6)=1, Add (3,6)=59 Failed, w=174\",\"Find(2)=1, Find(3)=1, Add (2,3)=83 Failed, w=174\",\"Find(3)=1, Find(7)=1, Add (3,7)=86 Failed, w=174\",\"Find(2)=1, Find(4)=1, Add (2,4)=95 Failed, w=174\",\"Find(5)=1, Find(7)=1, Add (5,7)=95 Failed, w=174\"],\"Answer\":174}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,28],[0,3,35],[0,4,47],[0,5,18],[0,7,45],[1,2,36],[1,5,8],[1,7,47],[2,3,83],[2,4,95],[2,6,32],[3,4,23],[3,5,39],[3,6,59],[3,7,86],[4,5,20],[4,6,49],[5,7,95]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,5)=8,(0,5)=18,(4,5)=20,(3,4)=23,(0,2)=28,(2,6)=32,(0,1)=34,(0,3)=35,(1,2)=36,(3,5)=39,(0,7)=45,(0,4)=47,(1,7)=47,(4,6)=49,(3,6)=59,(2,3)=83,(3,7)=86,(2,4)=95,(5,7)=95]\",\"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)=8 Succeeded, w=8\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 7}, Find(0)=0, Find(5)=1, Add (0,5)=18 Succeeded, w=26\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 6, 7: 7}, Find(4)=4, Find(5)=1, Add (4,5)=20 Succeeded, w=46\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 6, 7: 7}, Find(3)=3, Find(4)=1, Add (3,4)=23 Succeeded, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 7}, Find(0)=1, Find(2)=2, Add (0,2)=28 Succeeded, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(2)=1, Find(6)=6, Add (2,6)=32 Succeeded, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(0)=1, Find(1)=1, Add (0,1)=34 Failed, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(0)=1, Find(3)=1, Add (0,3)=35 Failed, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(1)=1, Find(2)=1, Add (1,2)=36 Failed, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(3)=1, Find(5)=1, Add (3,5)=39 Failed, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=7, Add (0,7)=45 Succeeded, w=174\",\"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)=47 Failed, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=47 Failed, w=174\",\"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)=49 Failed, w=174\",\"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)=59 Failed, w=174\",\"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)=83 Failed, w=174\",\"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)=86 Failed, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=95 Failed, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=95 Failed, w=174\"],\"Answer\":174}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,64],[0,2,38],[0,3,87],[1,2,37],[1,3,77],[2,3,60]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,38],[0,3,87],[1,2,37],[1,3,77],[2,3,60]]}", "role": "user" }, { "content": "{\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,38],[0,3,87],[1,2,37],[1,3,77],[2,3,60]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,38],[0,3,87],[1,2,37],[1,3,77],[2,3,60]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=37, w=37\",\"Add (0,2)=38, w=75\",\"Add (2,3)=60, w=135\"],\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,38],[0,3,87],[1,2,37],[1,3,77],[2,3,60]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=37 Succeeded, w=37\",\"Add (0,2)=38 Succeeded, w=75\",\"Add (2,3)=60 Succeeded, w=135\",\"Add (0,1)=64 Failed, w=135\",\"Add (1,3)=77 Failed, w=135\",\"Add (0,3)=87 Failed, w=135\"],\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,38],[0,3,87],[1,2,37],[1,3,77],[2,3,60]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=37,(0,2)=38,(2,3)=60,(0,1)=64,(1,3)=77,(0,3)=87]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=37 Succeeded, w=37\",\"Find(0)=0, Find(2)=1, Add (0,2)=38 Succeeded, w=75\",\"Find(2)=1, Find(3)=3, Add (2,3)=60 Succeeded, w=135\",\"Find(0)=1, Find(1)=1, Add (0,1)=64 Failed, w=135\",\"Find(1)=1, Find(3)=1, Add (1,3)=77 Failed, w=135\",\"Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=135\"],\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,38],[0,3,87],[1,2,37],[1,3,77],[2,3,60]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=37,(0,2)=38,(2,3)=60,(0,1)=64,(1,3)=77,(0,3)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=37 Succeeded, w=37\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(2)=1, Add (0,2)=38 Succeeded, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=60 Succeeded, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=64 Failed, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=77 Failed, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=135\"],\"Answer\":135}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,71],[0,2,25],[0,3,93],[1,2,57],[1,3,22]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,2,25],[0,3,93],[1,2,57],[1,3,22]]}", "role": "user" }, { "content": "{\"Answer\":104}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,2,25],[0,3,93],[1,2,57],[1,3,22]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":104}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,2,25],[0,3,93],[1,2,57],[1,3,22]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=22, w=22\",\"Add (0,2)=25, w=47\",\"Add (1,2)=57, w=104\"],\"Answer\":104}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,2,25],[0,3,93],[1,2,57],[1,3,22]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=22 Succeeded, w=22\",\"Add (0,2)=25 Succeeded, w=47\",\"Add (1,2)=57 Succeeded, w=104\",\"Add (0,1)=71 Failed, w=104\",\"Add (0,3)=93 Failed, w=104\"],\"Answer\":104}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,2,25],[0,3,93],[1,2,57],[1,3,22]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=22,(0,2)=25,(1,2)=57,(0,1)=71,(0,3)=93]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=22 Succeeded, w=22\",\"Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=47\",\"Find(1)=1, Find(2)=0, Add (1,2)=57 Succeeded, w=104\",\"Find(0)=1, Find(1)=1, Add (0,1)=71 Failed, w=104\",\"Find(0)=1, Find(3)=1, Add (0,3)=93 Failed, w=104\"],\"Answer\":104}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,2,25],[0,3,93],[1,2,57],[1,3,22]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=22,(0,2)=25,(1,2)=57,(0,1)=71,(0,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=47\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(2)=0, Add (1,2)=57 Succeeded, w=104\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=71 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=93 Failed, w=104\"],\"Answer\":104}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,86],[0,2,18],[0,4,98],[0,5,81],[0,7,35],[1,2,5],[1,3,42],[1,4,92],[1,5,95],[1,6,68],[1,7,0],[2,3,48],[2,4,80],[2,6,68],[2,7,56],[3,4,82],[3,5,55],[3,6,62],[3,7,63],[4,5,84],[4,6,69],[4,7,30],[5,6,80],[5,7,13],[6,7,70]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,18],[0,4,98],[0,5,81],[0,7,35],[1,2,5],[1,3,42],[1,4,92],[1,5,95],[1,6,68],[1,7,0],[2,3,48],[2,4,80],[2,6,68],[2,7,56],[3,4,82],[3,5,55],[3,6,62],[3,7,63],[4,5,84],[4,6,69],[4,7,30],[5,6,80],[5,7,13],[6,7,70]]}", "role": "user" }, { "content": "{\"Answer\":170}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,18],[0,4,98],[0,5,81],[0,7,35],[1,2,5],[1,3,42],[1,4,92],[1,5,95],[1,6,68],[1,7,0],[2,3,48],[2,4,80],[2,6,68],[2,7,56],[3,4,82],[3,5,55],[3,6,62],[3,7,63],[4,5,84],[4,6,69],[4,7,30],[5,6,80],[5,7,13],[6,7,70]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,7)\",\"Add (1,2)\",\"Add (5,7)\",\"Add (0,2)\",\"Add (4,7)\",\"Add (1,3)\",\"Add (3,6)\"],\"Answer\":170}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,18],[0,4,98],[0,5,81],[0,7,35],[1,2,5],[1,3,42],[1,4,92],[1,5,95],[1,6,68],[1,7,0],[2,3,48],[2,4,80],[2,6,68],[2,7,56],[3,4,82],[3,5,55],[3,6,62],[3,7,63],[4,5,84],[4,6,69],[4,7,30],[5,6,80],[5,7,13],[6,7,70]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,7)=0, w=0\",\"Add (1,2)=5, w=5\",\"Add (5,7)=13, w=18\",\"Add (0,2)=18, w=36\",\"Add (4,7)=30, w=66\",\"Add (1,3)=42, w=108\",\"Add (3,6)=62, w=170\"],\"Answer\":170}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,18],[0,4,98],[0,5,81],[0,7,35],[1,2,5],[1,3,42],[1,4,92],[1,5,95],[1,6,68],[1,7,0],[2,3,48],[2,4,80],[2,6,68],[2,7,56],[3,4,82],[3,5,55],[3,6,62],[3,7,63],[4,5,84],[4,6,69],[4,7,30],[5,6,80],[5,7,13],[6,7,70]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,7)=0 Succeeded, w=0\",\"Add (1,2)=5 Succeeded, w=5\",\"Add (5,7)=13 Succeeded, w=18\",\"Add (0,2)=18 Succeeded, w=36\",\"Add (4,7)=30 Succeeded, w=66\",\"Add (0,7)=35 Failed, w=66\",\"Add (1,3)=42 Succeeded, w=108\",\"Add (2,3)=48 Failed, w=108\",\"Add (3,5)=55 Failed, w=108\",\"Add (2,7)=56 Failed, w=108\",\"Add (3,6)=62 Succeeded, w=170\",\"Add (3,7)=63 Failed, w=170\",\"Add (1,6)=68 Failed, w=170\",\"Add (2,6)=68 Failed, w=170\",\"Add (4,6)=69 Failed, w=170\",\"Add (6,7)=70 Failed, w=170\",\"Add (2,4)=80 Failed, w=170\",\"Add (5,6)=80 Failed, w=170\",\"Add (0,5)=81 Failed, w=170\",\"Add (3,4)=82 Failed, w=170\",\"Add (4,5)=84 Failed, w=170\",\"Add (0,1)=86 Failed, w=170\",\"Add (1,4)=92 Failed, w=170\",\"Add (1,5)=95 Failed, w=170\",\"Add (0,4)=98 Failed, w=170\"],\"Answer\":170}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,18],[0,4,98],[0,5,81],[0,7,35],[1,2,5],[1,3,42],[1,4,92],[1,5,95],[1,6,68],[1,7,0],[2,3,48],[2,4,80],[2,6,68],[2,7,56],[3,4,82],[3,5,55],[3,6,62],[3,7,63],[4,5,84],[4,6,69],[4,7,30],[5,6,80],[5,7,13],[6,7,70]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,7)=0,(1,2)=5,(5,7)=13,(0,2)=18,(4,7)=30,(0,7)=35,(1,3)=42,(2,3)=48,(3,5)=55,(2,7)=56,(3,6)=62,(3,7)=63,(1,6)=68,(2,6)=68,(4,6)=69,(6,7)=70,(2,4)=80,(5,6)=80,(0,5)=81,(3,4)=82,(4,5)=84,(0,1)=86,(1,4)=92,(1,5)=95,(0,4)=98]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Find(5)=5, Find(7)=1, Add (5,7)=13 Succeeded, w=18\",\"Find(0)=0, Find(2)=1, Add (0,2)=18 Succeeded, w=36\",\"Find(4)=4, Find(7)=1, Add (4,7)=30 Succeeded, w=66\",\"Find(0)=1, Find(7)=1, Add (0,7)=35 Failed, w=66\",\"Find(1)=1, Find(3)=3, Add (1,3)=42 Succeeded, w=108\",\"Find(2)=1, Find(3)=1, Add (2,3)=48 Failed, w=108\",\"Find(3)=1, Find(5)=1, Add (3,5)=55 Failed, w=108\",\"Find(2)=1, Find(7)=1, Add (2,7)=56 Failed, w=108\",\"Find(3)=1, Find(6)=6, Add (3,6)=62 Succeeded, w=170\",\"Find(3)=1, Find(7)=1, Add (3,7)=63 Failed, w=170\",\"Find(1)=1, Find(6)=1, Add (1,6)=68 Failed, w=170\",\"Find(2)=1, Find(6)=1, Add (2,6)=68 Failed, w=170\",\"Find(4)=1, Find(6)=1, Add (4,6)=69 Failed, w=170\",\"Find(6)=1, Find(7)=1, Add (6,7)=70 Failed, w=170\",\"Find(2)=1, Find(4)=1, Add (2,4)=80 Failed, w=170\",\"Find(5)=1, Find(6)=1, Add (5,6)=80 Failed, w=170\",\"Find(0)=1, Find(5)=1, Add (0,5)=81 Failed, w=170\",\"Find(3)=1, Find(4)=1, Add (3,4)=82 Failed, w=170\",\"Find(4)=1, Find(5)=1, Add (4,5)=84 Failed, w=170\",\"Find(0)=1, Find(1)=1, Add (0,1)=86 Failed, w=170\",\"Find(1)=1, Find(4)=1, Add (1,4)=92 Failed, w=170\",\"Find(1)=1, Find(5)=1, Add (1,5)=95 Failed, w=170\",\"Find(0)=1, Find(4)=1, Add (0,4)=98 Failed, w=170\"],\"Answer\":170}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,18],[0,4,98],[0,5,81],[0,7,35],[1,2,5],[1,3,42],[1,4,92],[1,5,95],[1,6,68],[1,7,0],[2,3,48],[2,4,80],[2,6,68],[2,7,56],[3,4,82],[3,5,55],[3,6,62],[3,7,63],[4,5,84],[4,6,69],[4,7,30],[5,6,80],[5,7,13],[6,7,70]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,7)=0,(1,2)=5,(5,7)=13,(0,2)=18,(4,7)=30,(0,7)=35,(1,3)=42,(2,3)=48,(3,5)=55,(2,7)=56,(3,6)=62,(3,7)=63,(1,6)=68,(2,6)=68,(4,6)=69,(6,7)=70,(2,4)=80,(5,6)=80,(0,5)=81,(3,4)=82,(4,5)=84,(0,1)=86,(1,4)=92,(1,5)=95,(0,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6, 7: 1}, Find(5)=5, Find(7)=1, Add (5,7)=13 Succeeded, w=18\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6, 7: 1}, Find(0)=0, Find(2)=1, Add (0,2)=18 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 6, 7: 1}, Find(4)=4, Find(7)=1, Add (4,7)=30 Succeeded, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 6, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=35 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(1)=1, Find(3)=3, Add (1,3)=42 Succeeded, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=48 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=55 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=56 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=6, Add (3,6)=62 Succeeded, w=170\",\"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)=63 Failed, w=170\",\"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)=68 Failed, w=170\",\"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)=68 Failed, w=170\",\"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)=69 Failed, w=170\",\"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)=70 Failed, w=170\",\"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)=80 Failed, w=170\",\"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)=80 Failed, w=170\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=81 Failed, w=170\",\"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)=82 Failed, w=170\",\"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)=84 Failed, w=170\",\"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)=86 Failed, w=170\",\"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)=92 Failed, w=170\",\"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)=95 Failed, w=170\",\"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)=98 Failed, w=170\"],\"Answer\":170}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,36],[1,3,94]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,36],[1,3,94]]}", "role": "user" }, { "content": "{\"Answer\":130}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,36],[1,3,94]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":130}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,36],[1,3,94]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=36, w=36\",\"Add (1,3)=94, w=130\"],\"Answer\":130}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,36],[1,3,94]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=36 Succeeded, w=36\",\"Add (1,3)=94 Succeeded, w=130\"],\"Answer\":130}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,36],[1,3,94]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=36,(1,3)=94]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=36 Succeeded, w=36\",\"Find(1)=1, Find(3)=3, Add (1,3)=94 Succeeded, w=130\"],\"Answer\":130}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,36],[1,3,94]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=36,(1,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=36 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=94 Succeeded, w=130\"],\"Answer\":130}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,39],[0,5,99],[1,3,83],[1,4,65],[1,5,68],[2,3,26],[2,4,88],[2,5,30],[3,4,35],[3,5,62]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,39],[0,5,99],[1,3,83],[1,4,65],[1,5,68],[2,3,26],[2,4,88],[2,5,30],[3,4,35],[3,5,62]]}", "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],\"edges\":[[0,2,39],[0,5,99],[1,3,83],[1,4,65],[1,5,68],[2,3,26],[2,4,88],[2,5,30],[3,4,35],[3,5,62]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (2,5)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (1,4)\"],\"Answer\":195}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,39],[0,5,99],[1,3,83],[1,4,65],[1,5,68],[2,3,26],[2,4,88],[2,5,30],[3,4,35],[3,5,62]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=26, w=26\",\"Add (2,5)=30, w=56\",\"Add (3,4)=35, w=91\",\"Add (0,2)=39, w=130\",\"Add (1,4)=65, w=195\"],\"Answer\":195}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,39],[0,5,99],[1,3,83],[1,4,65],[1,5,68],[2,3,26],[2,4,88],[2,5,30],[3,4,35],[3,5,62]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=26 Succeeded, w=26\",\"Add (2,5)=30 Succeeded, w=56\",\"Add (3,4)=35 Succeeded, w=91\",\"Add (0,2)=39 Succeeded, w=130\",\"Add (3,5)=62 Failed, w=130\",\"Add (1,4)=65 Succeeded, w=195\",\"Add (1,5)=68 Failed, w=195\",\"Add (1,3)=83 Failed, w=195\",\"Add (2,4)=88 Failed, w=195\",\"Add (0,5)=99 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],\"edges\":[[0,2,39],[0,5,99],[1,3,83],[1,4,65],[1,5,68],[2,3,26],[2,4,88],[2,5,30],[3,4,35],[3,5,62]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=26,(2,5)=30,(3,4)=35,(0,2)=39,(3,5)=62,(1,4)=65,(1,5)=68,(1,3)=83,(2,4)=88,(0,5)=99]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=26\",\"Find(2)=2, Find(5)=5, Add (2,5)=30 Succeeded, w=56\",\"Find(3)=2, Find(4)=4, Add (3,4)=35 Succeeded, w=91\",\"Find(0)=0, Find(2)=2, Add (0,2)=39 Succeeded, w=130\",\"Find(3)=2, Find(5)=2, Add (3,5)=62 Failed, w=130\",\"Find(1)=1, Find(4)=2, Add (1,4)=65 Succeeded, w=195\",\"Find(1)=2, Find(5)=2, Add (1,5)=68 Failed, w=195\",\"Find(1)=2, Find(3)=2, Add (1,3)=83 Failed, w=195\",\"Find(2)=2, Find(4)=2, Add (2,4)=88 Failed, w=195\",\"Find(0)=2, Find(5)=2, Add (0,5)=99 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],\"edges\":[[0,2,39],[0,5,99],[1,3,83],[1,4,65],[1,5,68],[2,3,26],[2,4,88],[2,5,30],[3,4,35],[3,5,62]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=26,(2,5)=30,(3,4)=35,(0,2)=39,(3,5)=62,(1,4)=65,(1,5)=68,(1,3)=83,(2,4)=88,(0,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=30 Succeeded, w=56\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=4, Add (3,4)=35 Succeeded, w=91\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=39 Succeeded, w=130\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=62 Failed, w=130\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(4)=2, Add (1,4)=65 Succeeded, w=195\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=68 Failed, w=195\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=83 Failed, w=195\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=88 Failed, w=195\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=99 Failed, w=195\"],\"Answer\":195}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,100],[0,2,98],[0,4,93],[0,5,29],[0,6,45],[0,7,69],[1,2,6],[1,3,3],[1,4,60],[1,5,23],[1,6,36],[1,7,32],[2,3,71],[2,4,11],[2,5,11],[2,6,30],[2,7,3],[3,4,81],[3,5,32],[3,6,37],[3,7,1],[4,5,7],[4,6,89],[4,7,61],[5,6,81],[5,7,37],[6,7,90]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,2,98],[0,4,93],[0,5,29],[0,6,45],[0,7,69],[1,2,6],[1,3,3],[1,4,60],[1,5,23],[1,6,36],[1,7,32],[2,3,71],[2,4,11],[2,5,11],[2,6,30],[2,7,3],[3,4,81],[3,5,32],[3,6,37],[3,7,1],[4,5,7],[4,6,89],[4,7,61],[5,6,81],[5,7,37],[6,7,90]]}", "role": "user" }, { "content": "{\"Answer\":84}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,2,98],[0,4,93],[0,5,29],[0,6,45],[0,7,69],[1,2,6],[1,3,3],[1,4,60],[1,5,23],[1,6,36],[1,7,32],[2,3,71],[2,4,11],[2,5,11],[2,6,30],[2,7,3],[3,4,81],[3,5,32],[3,6,37],[3,7,1],[4,5,7],[4,6,89],[4,7,61],[5,6,81],[5,7,37],[6,7,90]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,7)\",\"Add (1,3)\",\"Add (2,7)\",\"Add (4,5)\",\"Add (2,4)\",\"Add (0,5)\",\"Add (2,6)\"],\"Answer\":84}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,2,98],[0,4,93],[0,5,29],[0,6,45],[0,7,69],[1,2,6],[1,3,3],[1,4,60],[1,5,23],[1,6,36],[1,7,32],[2,3,71],[2,4,11],[2,5,11],[2,6,30],[2,7,3],[3,4,81],[3,5,32],[3,6,37],[3,7,1],[4,5,7],[4,6,89],[4,7,61],[5,6,81],[5,7,37],[6,7,90]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,7)=1, w=1\",\"Add (1,3)=3, w=4\",\"Add (2,7)=3, w=7\",\"Add (4,5)=7, w=14\",\"Add (2,4)=11, w=25\",\"Add (0,5)=29, w=54\",\"Add (2,6)=30, w=84\"],\"Answer\":84}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,2,98],[0,4,93],[0,5,29],[0,6,45],[0,7,69],[1,2,6],[1,3,3],[1,4,60],[1,5,23],[1,6,36],[1,7,32],[2,3,71],[2,4,11],[2,5,11],[2,6,30],[2,7,3],[3,4,81],[3,5,32],[3,6,37],[3,7,1],[4,5,7],[4,6,89],[4,7,61],[5,6,81],[5,7,37],[6,7,90]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,7)=1 Succeeded, w=1\",\"Add (1,3)=3 Succeeded, w=4\",\"Add (2,7)=3 Succeeded, w=7\",\"Add (1,2)=6 Failed, w=7\",\"Add (4,5)=7 Succeeded, w=14\",\"Add (2,4)=11 Succeeded, w=25\",\"Add (2,5)=11 Failed, w=25\",\"Add (1,5)=23 Failed, w=25\",\"Add (0,5)=29 Succeeded, w=54\",\"Add (2,6)=30 Succeeded, w=84\",\"Add (1,7)=32 Failed, w=84\",\"Add (3,5)=32 Failed, w=84\",\"Add (1,6)=36 Failed, w=84\",\"Add (3,6)=37 Failed, w=84\",\"Add (5,7)=37 Failed, w=84\",\"Add (0,6)=45 Failed, w=84\",\"Add (1,4)=60 Failed, w=84\",\"Add (4,7)=61 Failed, w=84\",\"Add (0,7)=69 Failed, w=84\",\"Add (2,3)=71 Failed, w=84\",\"Add (3,4)=81 Failed, w=84\",\"Add (5,6)=81 Failed, w=84\",\"Add (4,6)=89 Failed, w=84\",\"Add (6,7)=90 Failed, w=84\",\"Add (0,4)=93 Failed, w=84\",\"Add (0,2)=98 Failed, w=84\",\"Add (0,1)=100 Failed, w=84\"],\"Answer\":84}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,2,98],[0,4,93],[0,5,29],[0,6,45],[0,7,69],[1,2,6],[1,3,3],[1,4,60],[1,5,23],[1,6,36],[1,7,32],[2,3,71],[2,4,11],[2,5,11],[2,6,30],[2,7,3],[3,4,81],[3,5,32],[3,6,37],[3,7,1],[4,5,7],[4,6,89],[4,7,61],[5,6,81],[5,7,37],[6,7,90]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,7)=1,(1,3)=3,(2,7)=3,(1,2)=6,(4,5)=7,(2,4)=11,(2,5)=11,(1,5)=23,(0,5)=29,(2,6)=30,(1,7)=32,(3,5)=32,(1,6)=36,(3,6)=37,(5,7)=37,(0,6)=45,(1,4)=60,(4,7)=61,(0,7)=69,(2,3)=71,(3,4)=81,(5,6)=81,(4,6)=89,(6,7)=90,(0,4)=93,(0,2)=98,(0,1)=100]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=4\",\"Find(2)=2, Find(7)=3, Add (2,7)=3 Succeeded, w=7\",\"Find(1)=3, Find(2)=3, Add (1,2)=6 Failed, w=7\",\"Find(4)=4, Find(5)=5, Add (4,5)=7 Succeeded, w=14\",\"Find(2)=3, Find(4)=4, Add (2,4)=11 Succeeded, w=25\",\"Find(2)=3, Find(5)=3, Add (2,5)=11 Failed, w=25\",\"Find(1)=3, Find(5)=3, Add (1,5)=23 Failed, w=25\",\"Find(0)=0, Find(5)=3, Add (0,5)=29 Succeeded, w=54\",\"Find(2)=3, Find(6)=6, Add (2,6)=30 Succeeded, w=84\",\"Find(1)=3, Find(7)=3, Add (1,7)=32 Failed, w=84\",\"Find(3)=3, Find(5)=3, Add (3,5)=32 Failed, w=84\",\"Find(1)=3, Find(6)=3, Add (1,6)=36 Failed, w=84\",\"Find(3)=3, Find(6)=3, Add (3,6)=37 Failed, w=84\",\"Find(5)=3, Find(7)=3, Add (5,7)=37 Failed, w=84\",\"Find(0)=3, Find(6)=3, Add (0,6)=45 Failed, w=84\",\"Find(1)=3, Find(4)=3, Add (1,4)=60 Failed, w=84\",\"Find(4)=3, Find(7)=3, Add (4,7)=61 Failed, w=84\",\"Find(0)=3, Find(7)=3, Add (0,7)=69 Failed, w=84\",\"Find(2)=3, Find(3)=3, Add (2,3)=71 Failed, w=84\",\"Find(3)=3, Find(4)=3, Add (3,4)=81 Failed, w=84\",\"Find(5)=3, Find(6)=3, Add (5,6)=81 Failed, w=84\",\"Find(4)=3, Find(6)=3, Add (4,6)=89 Failed, w=84\",\"Find(6)=3, Find(7)=3, Add (6,7)=90 Failed, w=84\",\"Find(0)=3, Find(4)=3, Add (0,4)=93 Failed, w=84\",\"Find(0)=3, Find(2)=3, Add (0,2)=98 Failed, w=84\",\"Find(0)=3, Find(1)=3, Add (0,1)=100 Failed, w=84\"],\"Answer\":84}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,2,98],[0,4,93],[0,5,29],[0,6,45],[0,7,69],[1,2,6],[1,3,3],[1,4,60],[1,5,23],[1,6,36],[1,7,32],[2,3,71],[2,4,11],[2,5,11],[2,6,30],[2,7,3],[3,4,81],[3,5,32],[3,6,37],[3,7,1],[4,5,7],[4,6,89],[4,7,61],[5,6,81],[5,7,37],[6,7,90]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,7)=1,(1,3)=3,(2,7)=3,(1,2)=6,(4,5)=7,(2,4)=11,(2,5)=11,(1,5)=23,(0,5)=29,(2,6)=30,(1,7)=32,(3,5)=32,(1,6)=36,(3,6)=37,(5,7)=37,(0,6)=45,(1,4)=60,(4,7)=61,(0,7)=69,(2,3)=71,(3,4)=81,(5,6)=81,(4,6)=89,(6,7)=90,(0,4)=93,(0,2)=98,(0,1)=100]\",\"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: 3, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(2)=2, Find(7)=3, Add (2,7)=3 Succeeded, w=7\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=6 Failed, w=7\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 4, 6: 6, 7: 3}, Find(4)=4, Find(5)=5, Add (4,5)=7 Succeeded, w=14\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 4, 6: 6, 7: 3}, Find(2)=3, Find(4)=4, Add (2,4)=11 Succeeded, w=25\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(2)=3, Find(5)=3, Add (2,5)=11 Failed, w=25\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=23 Failed, w=25\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(0)=0, Find(5)=3, Add (0,5)=29 Succeeded, w=54\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(6)=6, Add (2,6)=30 Succeeded, w=84\",\"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)=32 Failed, w=84\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(5)=3, Add (3,5)=32 Failed, w=84\",\"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)=36 Failed, w=84\",\"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)=37 Failed, w=84\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=37 Failed, w=84\",\"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)=45 Failed, w=84\",\"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)=60 Failed, w=84\",\"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)=61 Failed, w=84\",\"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)=69 Failed, w=84\",\"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)=71 Failed, w=84\",\"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)=81 Failed, w=84\",\"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)=81 Failed, w=84\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=89 Failed, w=84\",\"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)=90 Failed, w=84\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=93 Failed, w=84\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(2)=3, Add (0,2)=98 Failed, w=84\",\"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)=100 Failed, w=84\"],\"Answer\":84}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,59],[0,3,22],[0,4,74],[0,5,11],[0,6,52],[0,7,52],[1,2,94],[1,3,20],[1,4,28],[1,5,13],[1,6,100],[1,7,27],[2,3,16],[2,4,98],[2,5,33],[2,6,93],[3,4,65],[3,6,95],[3,7,94],[4,6,69],[4,7,97],[5,6,77],[5,7,43],[6,7,6]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,59],[0,3,22],[0,4,74],[0,5,11],[0,6,52],[0,7,52],[1,2,94],[1,3,20],[1,4,28],[1,5,13],[1,6,100],[1,7,27],[2,3,16],[2,4,98],[2,5,33],[2,6,93],[3,4,65],[3,6,95],[3,7,94],[4,6,69],[4,7,97],[5,6,77],[5,7,43],[6,7,6]]}", "role": "user" }, { "content": "{\"Answer\":121}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,59],[0,3,22],[0,4,74],[0,5,11],[0,6,52],[0,7,52],[1,2,94],[1,3,20],[1,4,28],[1,5,13],[1,6,100],[1,7,27],[2,3,16],[2,4,98],[2,5,33],[2,6,93],[3,4,65],[3,6,95],[3,7,94],[4,6,69],[4,7,97],[5,6,77],[5,7,43],[6,7,6]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (6,7)\",\"Add (0,5)\",\"Add (1,5)\",\"Add (2,3)\",\"Add (1,3)\",\"Add (1,7)\",\"Add (1,4)\"],\"Answer\":121}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,59],[0,3,22],[0,4,74],[0,5,11],[0,6,52],[0,7,52],[1,2,94],[1,3,20],[1,4,28],[1,5,13],[1,6,100],[1,7,27],[2,3,16],[2,4,98],[2,5,33],[2,6,93],[3,4,65],[3,6,95],[3,7,94],[4,6,69],[4,7,97],[5,6,77],[5,7,43],[6,7,6]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (6,7)=6, w=6\",\"Add (0,5)=11, w=17\",\"Add (1,5)=13, w=30\",\"Add (2,3)=16, w=46\",\"Add (1,3)=20, w=66\",\"Add (1,7)=27, w=93\",\"Add (1,4)=28, w=121\"],\"Answer\":121}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,59],[0,3,22],[0,4,74],[0,5,11],[0,6,52],[0,7,52],[1,2,94],[1,3,20],[1,4,28],[1,5,13],[1,6,100],[1,7,27],[2,3,16],[2,4,98],[2,5,33],[2,6,93],[3,4,65],[3,6,95],[3,7,94],[4,6,69],[4,7,97],[5,6,77],[5,7,43],[6,7,6]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (6,7)=6 Succeeded, w=6\",\"Add (0,5)=11 Succeeded, w=17\",\"Add (1,5)=13 Succeeded, w=30\",\"Add (2,3)=16 Succeeded, w=46\",\"Add (1,3)=20 Succeeded, w=66\",\"Add (0,3)=22 Failed, w=66\",\"Add (1,7)=27 Succeeded, w=93\",\"Add (1,4)=28 Succeeded, w=121\",\"Add (2,5)=33 Failed, w=121\",\"Add (5,7)=43 Failed, w=121\",\"Add (0,6)=52 Failed, w=121\",\"Add (0,7)=52 Failed, w=121\",\"Add (0,1)=59 Failed, w=121\",\"Add (3,4)=65 Failed, w=121\",\"Add (4,6)=69 Failed, w=121\",\"Add (0,4)=74 Failed, w=121\",\"Add (5,6)=77 Failed, w=121\",\"Add (2,6)=93 Failed, w=121\",\"Add (1,2)=94 Failed, w=121\",\"Add (3,7)=94 Failed, w=121\",\"Add (3,6)=95 Failed, w=121\",\"Add (4,7)=97 Failed, w=121\",\"Add (2,4)=98 Failed, w=121\",\"Add (1,6)=100 Failed, w=121\"],\"Answer\":121}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,59],[0,3,22],[0,4,74],[0,5,11],[0,6,52],[0,7,52],[1,2,94],[1,3,20],[1,4,28],[1,5,13],[1,6,100],[1,7,27],[2,3,16],[2,4,98],[2,5,33],[2,6,93],[3,4,65],[3,6,95],[3,7,94],[4,6,69],[4,7,97],[5,6,77],[5,7,43],[6,7,6]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(6,7)=6,(0,5)=11,(1,5)=13,(2,3)=16,(1,3)=20,(0,3)=22,(1,7)=27,(1,4)=28,(2,5)=33,(5,7)=43,(0,6)=52,(0,7)=52,(0,1)=59,(3,4)=65,(4,6)=69,(0,4)=74,(5,6)=77,(2,6)=93,(1,2)=94,(3,7)=94,(3,6)=95,(4,7)=97,(2,4)=98,(1,6)=100]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=6 Succeeded, w=6\",\"Find(0)=0, Find(5)=5, Add (0,5)=11 Succeeded, w=17\",\"Find(1)=1, Find(5)=0, Add (1,5)=13 Succeeded, w=30\",\"Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=46\",\"Find(1)=0, Find(3)=2, Add (1,3)=20 Succeeded, w=66\",\"Find(0)=0, Find(3)=0, Add (0,3)=22 Failed, w=66\",\"Find(1)=0, Find(7)=6, Add (1,7)=27 Succeeded, w=93\",\"Find(1)=0, Find(4)=4, Add (1,4)=28 Succeeded, w=121\",\"Find(2)=0, Find(5)=0, Add (2,5)=33 Failed, w=121\",\"Find(5)=0, Find(7)=0, Add (5,7)=43 Failed, w=121\",\"Find(0)=0, Find(6)=0, Add (0,6)=52 Failed, w=121\",\"Find(0)=0, Find(7)=0, Add (0,7)=52 Failed, w=121\",\"Find(0)=0, Find(1)=0, Add (0,1)=59 Failed, w=121\",\"Find(3)=0, Find(4)=0, Add (3,4)=65 Failed, w=121\",\"Find(4)=0, Find(6)=0, Add (4,6)=69 Failed, w=121\",\"Find(0)=0, Find(4)=0, Add (0,4)=74 Failed, w=121\",\"Find(5)=0, Find(6)=0, Add (5,6)=77 Failed, w=121\",\"Find(2)=0, Find(6)=0, Add (2,6)=93 Failed, w=121\",\"Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=121\",\"Find(3)=0, Find(7)=0, Add (3,7)=94 Failed, w=121\",\"Find(3)=0, Find(6)=0, Add (3,6)=95 Failed, w=121\",\"Find(4)=0, Find(7)=0, Add (4,7)=97 Failed, w=121\",\"Find(2)=0, Find(4)=0, Add (2,4)=98 Failed, w=121\",\"Find(1)=0, Find(6)=0, Add (1,6)=100 Failed, w=121\"],\"Answer\":121}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,59],[0,3,22],[0,4,74],[0,5,11],[0,6,52],[0,7,52],[1,2,94],[1,3,20],[1,4,28],[1,5,13],[1,6,100],[1,7,27],[2,3,16],[2,4,98],[2,5,33],[2,6,93],[3,4,65],[3,6,95],[3,7,94],[4,6,69],[4,7,97],[5,6,77],[5,7,43],[6,7,6]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(6,7)=6,(0,5)=11,(1,5)=13,(2,3)=16,(1,3)=20,(0,3)=22,(1,7)=27,(1,4)=28,(2,5)=33,(5,7)=43,(0,6)=52,(0,7)=52,(0,1)=59,(3,4)=65,(4,6)=69,(0,4)=74,(5,6)=77,(2,6)=93,(1,2)=94,(3,7)=94,(3,6)=95,(4,7)=97,(2,4)=98,(1,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 6}, Find(0)=0, Find(5)=5, Add (0,5)=11 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 6}, Find(1)=1, Find(5)=0, Add (1,5)=13 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 0, 6: 6, 7: 6}, Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4, 5: 0, 6: 6, 7: 6}, Find(1)=0, Find(3)=2, Add (1,3)=20 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6, 7: 6}, Find(0)=0, Find(3)=0, Add (0,3)=22 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 6}, Find(1)=0, Find(7)=6, Add (1,7)=27 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(1)=0, Find(4)=4, Add (1,4)=28 Succeeded, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(2)=0, Find(5)=0, Add (2,5)=33 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=43 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=52 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=52 Failed, w=121\",\"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)=59 Failed, w=121\",\"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)=65 Failed, w=121\",\"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)=69 Failed, w=121\",\"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)=74 Failed, w=121\",\"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)=77 Failed, w=121\",\"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)=93 Failed, w=121\",\"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)=94 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=94 Failed, w=121\",\"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)=95 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=97 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=98 Failed, w=121\",\"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)=100 Failed, w=121\"],\"Answer\":121}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,65],[0,2,7],[0,3,10],[0,4,71],[1,2,28],[1,3,37],[1,4,84],[2,3,90],[2,4,4],[3,4,78]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,7],[0,3,10],[0,4,71],[1,2,28],[1,3,37],[1,4,84],[2,3,90],[2,4,4],[3,4,78]]}", "role": "user" }, { "content": "{\"Answer\":49}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,7],[0,3,10],[0,4,71],[1,2,28],[1,3,37],[1,4,84],[2,3,90],[2,4,4],[3,4,78]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":49}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,7],[0,3,10],[0,4,71],[1,2,28],[1,3,37],[1,4,84],[2,3,90],[2,4,4],[3,4,78]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=4, w=4\",\"Add (0,2)=7, w=11\",\"Add (0,3)=10, w=21\",\"Add (1,2)=28, w=49\"],\"Answer\":49}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,7],[0,3,10],[0,4,71],[1,2,28],[1,3,37],[1,4,84],[2,3,90],[2,4,4],[3,4,78]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=4 Succeeded, w=4\",\"Add (0,2)=7 Succeeded, w=11\",\"Add (0,3)=10 Succeeded, w=21\",\"Add (1,2)=28 Succeeded, w=49\",\"Add (1,3)=37 Failed, w=49\",\"Add (0,1)=65 Failed, w=49\",\"Add (0,4)=71 Failed, w=49\",\"Add (3,4)=78 Failed, w=49\",\"Add (1,4)=84 Failed, w=49\",\"Add (2,3)=90 Failed, w=49\"],\"Answer\":49}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,7],[0,3,10],[0,4,71],[1,2,28],[1,3,37],[1,4,84],[2,3,90],[2,4,4],[3,4,78]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=4,(0,2)=7,(0,3)=10,(1,2)=28,(1,3)=37,(0,1)=65,(0,4)=71,(3,4)=78,(1,4)=84,(2,3)=90]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=11\",\"Find(0)=2, Find(3)=3, Add (0,3)=10 Succeeded, w=21\",\"Find(1)=1, Find(2)=2, Add (1,2)=28 Succeeded, w=49\",\"Find(1)=2, Find(3)=2, Add (1,3)=37 Failed, w=49\",\"Find(0)=2, Find(1)=2, Add (0,1)=65 Failed, w=49\",\"Find(0)=2, Find(4)=2, Add (0,4)=71 Failed, w=49\",\"Find(3)=2, Find(4)=2, Add (3,4)=78 Failed, w=49\",\"Find(1)=2, Find(4)=2, Add (1,4)=84 Failed, w=49\",\"Find(2)=2, Find(3)=2, Add (2,3)=90 Failed, w=49\"],\"Answer\":49}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,7],[0,3,10],[0,4,71],[1,2,28],[1,3,37],[1,4,84],[2,3,90],[2,4,4],[3,4,78]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=4,(0,2)=7,(0,3)=10,(1,2)=28,(1,3)=37,(0,1)=65,(0,4)=71,(3,4)=78,(1,4)=84,(2,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=11\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=3, Add (0,3)=10 Succeeded, w=21\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=28 Succeeded, w=49\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=37 Failed, w=49\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=65 Failed, w=49\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=71 Failed, w=49\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=78 Failed, w=49\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=84 Failed, w=49\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=2, Add (2,3)=90 Failed, w=49\"],\"Answer\":49}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,55],[0,3,51],[1,2,91],[1,3,61],[2,3,84]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,3,51],[1,2,91],[1,3,61],[2,3,84]]}", "role": "user" }, { "content": "{\"Answer\":190}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,3,51],[1,2,91],[1,3,61],[2,3,84]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":190}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,3,51],[1,2,91],[1,3,61],[2,3,84]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=51, w=51\",\"Add (0,1)=55, w=106\",\"Add (2,3)=84, w=190\"],\"Answer\":190}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,3,51],[1,2,91],[1,3,61],[2,3,84]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=51 Succeeded, w=51\",\"Add (0,1)=55 Succeeded, w=106\",\"Add (1,3)=61 Failed, w=106\",\"Add (2,3)=84 Succeeded, w=190\",\"Add (1,2)=91 Failed, w=190\"],\"Answer\":190}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,3,51],[1,2,91],[1,3,61],[2,3,84]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=51,(0,1)=55,(1,3)=61,(2,3)=84,(1,2)=91]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=51 Succeeded, w=51\",\"Find(0)=0, Find(1)=1, Add (0,1)=55 Succeeded, w=106\",\"Find(1)=0, Find(3)=0, Add (1,3)=61 Failed, w=106\",\"Find(2)=2, Find(3)=0, Add (2,3)=84 Succeeded, w=190\",\"Find(1)=0, Find(2)=0, Add (1,2)=91 Failed, w=190\"],\"Answer\":190}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,3,51],[1,2,91],[1,3,61],[2,3,84]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=51,(0,1)=55,(1,3)=61,(2,3)=84,(1,2)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=51 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=55 Succeeded, w=106\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=61 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=84 Succeeded, w=190\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=91 Failed, w=190\"],\"Answer\":190}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,33],[0,4,24],[1,3,49],[2,3,86],[2,4,71],[3,4,76]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,33],[0,4,24],[1,3,49],[2,3,86],[2,4,71],[3,4,76]]}", "role": "user" }, { "content": "{\"Answer\":177}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,33],[0,4,24],[1,3,49],[2,3,86],[2,4,71],[3,4,76]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)\",\"Add (0,3)\",\"Add (1,3)\",\"Add (2,4)\"],\"Answer\":177}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,33],[0,4,24],[1,3,49],[2,3,86],[2,4,71],[3,4,76]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)=24, w=24\",\"Add (0,3)=33, w=57\",\"Add (1,3)=49, w=106\",\"Add (2,4)=71, w=177\"],\"Answer\":177}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,33],[0,4,24],[1,3,49],[2,3,86],[2,4,71],[3,4,76]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)=24 Succeeded, w=24\",\"Add (0,3)=33 Succeeded, w=57\",\"Add (1,3)=49 Succeeded, w=106\",\"Add (2,4)=71 Succeeded, w=177\",\"Add (3,4)=76 Failed, w=177\",\"Add (2,3)=86 Failed, w=177\"],\"Answer\":177}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,33],[0,4,24],[1,3,49],[2,3,86],[2,4,71],[3,4,76]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,4)=24,(0,3)=33,(1,3)=49,(2,4)=71,(3,4)=76,(2,3)=86]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=24 Succeeded, w=24\",\"Find(0)=0, Find(3)=3, Add (0,3)=33 Succeeded, w=57\",\"Find(1)=1, Find(3)=0, Add (1,3)=49 Succeeded, w=106\",\"Find(2)=2, Find(4)=0, Add (2,4)=71 Succeeded, w=177\",\"Find(3)=0, Find(4)=0, Add (3,4)=76 Failed, w=177\",\"Find(2)=0, Find(3)=0, Add (2,3)=86 Failed, w=177\"],\"Answer\":177}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,33],[0,4,24],[1,3,49],[2,3,86],[2,4,71],[3,4,76]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,4)=24,(0,3)=33,(1,3)=49,(2,4)=71,(3,4)=76,(2,3)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=24 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=33 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=1, Find(3)=0, Add (1,3)=49 Succeeded, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=71 Succeeded, w=177\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=76 Failed, w=177\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=86 Failed, w=177\"],\"Answer\":177}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,67],[0,2,54],[0,4,47],[0,5,34],[1,2,3],[1,3,26],[1,4,16],[1,5,35],[2,3,5],[2,4,26],[2,5,95],[3,4,45],[3,5,26]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,54],[0,4,47],[0,5,34],[1,2,3],[1,3,26],[1,4,16],[1,5,35],[2,3,5],[2,4,26],[2,5,95],[3,4,45],[3,5,26]]}", "role": "user" }, { "content": "{\"Answer\":84}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,54],[0,4,47],[0,5,34],[1,2,3],[1,3,26],[1,4,16],[1,5,35],[2,3,5],[2,4,26],[2,5,95],[3,4,45],[3,5,26]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (1,4)\",\"Add (3,5)\",\"Add (0,5)\"],\"Answer\":84}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,54],[0,4,47],[0,5,34],[1,2,3],[1,3,26],[1,4,16],[1,5,35],[2,3,5],[2,4,26],[2,5,95],[3,4,45],[3,5,26]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (2,3)=5, w=8\",\"Add (1,4)=16, w=24\",\"Add (3,5)=26, w=50\",\"Add (0,5)=34, w=84\"],\"Answer\":84}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,54],[0,4,47],[0,5,34],[1,2,3],[1,3,26],[1,4,16],[1,5,35],[2,3,5],[2,4,26],[2,5,95],[3,4,45],[3,5,26]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (2,3)=5 Succeeded, w=8\",\"Add (1,4)=16 Succeeded, w=24\",\"Add (1,3)=26 Failed, w=24\",\"Add (2,4)=26 Failed, w=24\",\"Add (3,5)=26 Succeeded, w=50\",\"Add (0,5)=34 Succeeded, w=84\",\"Add (1,5)=35 Failed, w=84\",\"Add (3,4)=45 Failed, w=84\",\"Add (0,4)=47 Failed, w=84\",\"Add (0,2)=54 Failed, w=84\",\"Add (0,1)=67 Failed, w=84\",\"Add (2,5)=95 Failed, w=84\"],\"Answer\":84}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,54],[0,4,47],[0,5,34],[1,2,3],[1,3,26],[1,4,16],[1,5,35],[2,3,5],[2,4,26],[2,5,95],[3,4,45],[3,5,26]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=3,(2,3)=5,(1,4)=16,(1,3)=26,(2,4)=26,(3,5)=26,(0,5)=34,(1,5)=35,(3,4)=45,(0,4)=47,(0,2)=54,(0,1)=67,(2,5)=95]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(2)=1, Find(3)=3, Add (2,3)=5 Succeeded, w=8\",\"Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=24\",\"Find(1)=1, Find(3)=1, Add (1,3)=26 Failed, w=24\",\"Find(2)=1, Find(4)=1, Add (2,4)=26 Failed, w=24\",\"Find(3)=1, Find(5)=5, Add (3,5)=26 Succeeded, w=50\",\"Find(0)=0, Find(5)=1, Add (0,5)=34 Succeeded, w=84\",\"Find(1)=1, Find(5)=1, Add (1,5)=35 Failed, w=84\",\"Find(3)=1, Find(4)=1, Add (3,4)=45 Failed, w=84\",\"Find(0)=1, Find(4)=1, Add (0,4)=47 Failed, w=84\",\"Find(0)=1, Find(2)=1, Add (0,2)=54 Failed, w=84\",\"Find(0)=1, Find(1)=1, Add (0,1)=67 Failed, w=84\",\"Find(2)=1, Find(5)=1, Add (2,5)=95 Failed, w=84\"],\"Answer\":84}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,54],[0,4,47],[0,5,34],[1,2,3],[1,3,26],[1,4,16],[1,5,35],[2,3,5],[2,4,26],[2,5,95],[3,4,45],[3,5,26]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=3,(2,3)=5,(1,4)=16,(1,3)=26,(2,4)=26,(3,5)=26,(0,5)=34,(1,5)=35,(3,4)=45,(0,4)=47,(0,2)=54,(0,1)=67,(2,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5}, Find(2)=1, Find(3)=3, Add (2,3)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(3)=1, Add (1,3)=26 Failed, w=24\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(2)=1, Find(4)=1, Add (2,4)=26 Failed, w=24\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=5, Add (3,5)=26 Succeeded, w=50\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=34 Succeeded, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=35 Failed, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=45 Failed, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=47 Failed, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=54 Failed, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=67 Failed, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=95 Failed, w=84\"],\"Answer\":84}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,91],[0,3,10],[0,4,98],[0,5,28],[1,2,13],[1,3,27],[1,4,3],[1,5,82],[2,3,23],[2,4,9],[2,5,11],[3,4,56],[3,5,42],[4,5,26]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,91],[0,3,10],[0,4,98],[0,5,28],[1,2,13],[1,3,27],[1,4,3],[1,5,82],[2,3,23],[2,4,9],[2,5,11],[3,4,56],[3,5,42],[4,5,26]]}", "role": "user" }, { "content": "{\"Answer\":56}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,91],[0,3,10],[0,4,98],[0,5,28],[1,2,13],[1,3,27],[1,4,3],[1,5,82],[2,3,23],[2,4,9],[2,5,11],[3,4,56],[3,5,42],[4,5,26]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (2,5)\",\"Add (2,3)\"],\"Answer\":56}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,91],[0,3,10],[0,4,98],[0,5,28],[1,2,13],[1,3,27],[1,4,3],[1,5,82],[2,3,23],[2,4,9],[2,5,11],[3,4,56],[3,5,42],[4,5,26]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=3, w=3\",\"Add (2,4)=9, w=12\",\"Add (0,3)=10, w=22\",\"Add (2,5)=11, w=33\",\"Add (2,3)=23, w=56\"],\"Answer\":56}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,91],[0,3,10],[0,4,98],[0,5,28],[1,2,13],[1,3,27],[1,4,3],[1,5,82],[2,3,23],[2,4,9],[2,5,11],[3,4,56],[3,5,42],[4,5,26]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=3 Succeeded, w=3\",\"Add (2,4)=9 Succeeded, w=12\",\"Add (0,3)=10 Succeeded, w=22\",\"Add (2,5)=11 Succeeded, w=33\",\"Add (1,2)=13 Failed, w=33\",\"Add (2,3)=23 Succeeded, w=56\",\"Add (4,5)=26 Failed, w=56\",\"Add (1,3)=27 Failed, w=56\",\"Add (0,5)=28 Failed, w=56\",\"Add (3,5)=42 Failed, w=56\",\"Add (3,4)=56 Failed, w=56\",\"Add (1,5)=82 Failed, w=56\",\"Add (0,2)=91 Failed, w=56\",\"Add (0,4)=98 Failed, w=56\"],\"Answer\":56}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,91],[0,3,10],[0,4,98],[0,5,28],[1,2,13],[1,3,27],[1,4,3],[1,5,82],[2,3,23],[2,4,9],[2,5,11],[3,4,56],[3,5,42],[4,5,26]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=3,(2,4)=9,(0,3)=10,(2,5)=11,(1,2)=13,(2,3)=23,(4,5)=26,(1,3)=27,(0,5)=28,(3,5)=42,(3,4)=56,(1,5)=82,(0,2)=91,(0,4)=98]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Find(2)=2, Find(4)=1, Add (2,4)=9 Succeeded, w=12\",\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=22\",\"Find(2)=1, Find(5)=5, Add (2,5)=11 Succeeded, w=33\",\"Find(1)=1, Find(2)=1, Add (1,2)=13 Failed, w=33\",\"Find(2)=1, Find(3)=0, Add (2,3)=23 Succeeded, w=56\",\"Find(4)=1, Find(5)=1, Add (4,5)=26 Failed, w=56\",\"Find(1)=1, Find(3)=1, Add (1,3)=27 Failed, w=56\",\"Find(0)=1, Find(5)=1, Add (0,5)=28 Failed, w=56\",\"Find(3)=1, Find(5)=1, Add (3,5)=42 Failed, w=56\",\"Find(3)=1, Find(4)=1, Add (3,4)=56 Failed, w=56\",\"Find(1)=1, Find(5)=1, Add (1,5)=82 Failed, w=56\",\"Find(0)=1, Find(2)=1, Add (0,2)=91 Failed, w=56\",\"Find(0)=1, Find(4)=1, Add (0,4)=98 Failed, w=56\"],\"Answer\":56}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,91],[0,3,10],[0,4,98],[0,5,28],[1,2,13],[1,3,27],[1,4,3],[1,5,82],[2,3,23],[2,4,9],[2,5,11],[3,4,56],[3,5,42],[4,5,26]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=3,(2,4)=9,(0,3)=10,(2,5)=11,(1,2)=13,(2,3)=23,(4,5)=26,(1,3)=27,(0,5)=28,(3,5)=42,(3,4)=56,(1,5)=82,(0,2)=91,(0,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(2)=2, Find(4)=1, Add (2,4)=9 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1}, Find(2)=1, Find(5)=5, Add (2,5)=11 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=13 Failed, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1}, Find(2)=1, Find(3)=0, Add (2,3)=23 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=26 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=27 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=28 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=42 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=56 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=82 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=91 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=98 Failed, w=56\"],\"Answer\":56}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,62],[0,2,8],[0,3,13],[0,4,86],[1,4,10],[1,5,14],[1,6,70],[2,3,64],[2,4,25],[2,5,78],[2,6,24],[3,4,97],[3,6,4],[4,5,92],[4,6,29],[5,6,92]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,8],[0,3,13],[0,4,86],[1,4,10],[1,5,14],[1,6,70],[2,3,64],[2,4,25],[2,5,78],[2,6,24],[3,4,97],[3,6,4],[4,5,92],[4,6,29],[5,6,92]]}", "role": "user" }, { "content": "{\"Answer\":74}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,8],[0,3,13],[0,4,86],[1,4,10],[1,5,14],[1,6,70],[2,3,64],[2,4,25],[2,5,78],[2,6,24],[3,4,97],[3,6,4],[4,5,92],[4,6,29],[5,6,92]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (1,5)\",\"Add (2,4)\"],\"Answer\":74}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,8],[0,3,13],[0,4,86],[1,4,10],[1,5,14],[1,6,70],[2,3,64],[2,4,25],[2,5,78],[2,6,24],[3,4,97],[3,6,4],[4,5,92],[4,6,29],[5,6,92]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)=4, w=4\",\"Add (0,2)=8, w=12\",\"Add (1,4)=10, w=22\",\"Add (0,3)=13, w=35\",\"Add (1,5)=14, w=49\",\"Add (2,4)=25, w=74\"],\"Answer\":74}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,8],[0,3,13],[0,4,86],[1,4,10],[1,5,14],[1,6,70],[2,3,64],[2,4,25],[2,5,78],[2,6,24],[3,4,97],[3,6,4],[4,5,92],[4,6,29],[5,6,92]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)=4 Succeeded, w=4\",\"Add (0,2)=8 Succeeded, w=12\",\"Add (1,4)=10 Succeeded, w=22\",\"Add (0,3)=13 Succeeded, w=35\",\"Add (1,5)=14 Succeeded, w=49\",\"Add (2,6)=24 Failed, w=49\",\"Add (2,4)=25 Succeeded, w=74\",\"Add (4,6)=29 Failed, w=74\",\"Add (0,1)=62 Failed, w=74\",\"Add (2,3)=64 Failed, w=74\",\"Add (1,6)=70 Failed, w=74\",\"Add (2,5)=78 Failed, w=74\",\"Add (0,4)=86 Failed, w=74\",\"Add (4,5)=92 Failed, w=74\",\"Add (5,6)=92 Failed, w=74\",\"Add (3,4)=97 Failed, w=74\"],\"Answer\":74}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,8],[0,3,13],[0,4,86],[1,4,10],[1,5,14],[1,6,70],[2,3,64],[2,4,25],[2,5,78],[2,6,24],[3,4,97],[3,6,4],[4,5,92],[4,6,29],[5,6,92]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,6)=4,(0,2)=8,(1,4)=10,(0,3)=13,(1,5)=14,(2,6)=24,(2,4)=25,(4,6)=29,(0,1)=62,(2,3)=64,(1,6)=70,(2,5)=78,(0,4)=86,(4,5)=92,(5,6)=92,(3,4)=97]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=4 Succeeded, w=4\",\"Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=12\",\"Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=22\",\"Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=35\",\"Find(1)=1, Find(5)=5, Add (1,5)=14 Succeeded, w=49\",\"Find(2)=0, Find(6)=0, Add (2,6)=24 Failed, w=49\",\"Find(2)=0, Find(4)=1, Add (2,4)=25 Succeeded, w=74\",\"Find(4)=0, Find(6)=0, Add (4,6)=29 Failed, w=74\",\"Find(0)=0, Find(1)=0, Add (0,1)=62 Failed, w=74\",\"Find(2)=0, Find(3)=0, Add (2,3)=64 Failed, w=74\",\"Find(1)=0, Find(6)=0, Add (1,6)=70 Failed, w=74\",\"Find(2)=0, Find(5)=0, Add (2,5)=78 Failed, w=74\",\"Find(0)=0, Find(4)=0, Add (0,4)=86 Failed, w=74\",\"Find(4)=0, Find(5)=0, Add (4,5)=92 Failed, w=74\",\"Find(5)=0, Find(6)=0, Add (5,6)=92 Failed, w=74\",\"Find(3)=0, Find(4)=0, Add (3,4)=97 Failed, w=74\"],\"Answer\":74}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,8],[0,3,13],[0,4,86],[1,4,10],[1,5,14],[1,6,70],[2,3,64],[2,4,25],[2,5,78],[2,6,24],[3,4,97],[3,6,4],[4,5,92],[4,6,29],[5,6,92]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,6)=4,(0,2)=8,(1,4)=10,(0,3)=13,(1,5)=14,(2,6)=24,(2,4)=25,(4,6)=29,(0,1)=62,(2,3)=64,(1,6)=70,(2,5)=78,(0,4)=86,(4,5)=92,(5,6)=92,(3,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 3}, Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5, 6: 3}, Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 5, 6: 3}, Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 1, 6: 3}, Find(1)=1, Find(5)=5, Add (1,5)=14 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 1, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=24 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 1, 6: 0}, Find(2)=0, Find(4)=1, Add (2,4)=25 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=29 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=62 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=64 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=70 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=78 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=86 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=92 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=92 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=97 Failed, w=74\"],\"Answer\":74}", "role": "assistant" } ]

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