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":[[0,1,86],[0,3,83],[1,2,10],[1,3,1],[1,4,93],[2,3,62],[3,4,23]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,3,83],[1,2,10],[1,3,1],[1,4,93],[2,3,62],[3,4,23]]}", "role": "user" }, { "content": "{\"Answer\":117}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,3,83],[1,2,10],[1,3,1],[1,4,93],[2,3,62],[3,4,23]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (0,3)\"],\"Answer\":117}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,3,83],[1,2,10],[1,3,1],[1,4,93],[2,3,62],[3,4,23]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=1, w=1\",\"Add (1,2)=10, w=11\",\"Add (3,4)=23, w=34\",\"Add (0,3)=83, w=117\"],\"Answer\":117}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,3,83],[1,2,10],[1,3,1],[1,4,93],[2,3,62],[3,4,23]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=1 Succeeded, w=1\",\"Add (1,2)=10 Succeeded, w=11\",\"Add (3,4)=23 Succeeded, w=34\",\"Add (2,3)=62 Failed, w=34\",\"Add (0,3)=83 Succeeded, w=117\",\"Add (0,1)=86 Failed, w=117\",\"Add (1,4)=93 Failed, w=117\"],\"Answer\":117}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,3,83],[1,2,10],[1,3,1],[1,4,93],[2,3,62],[3,4,23]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=1,(1,2)=10,(3,4)=23,(2,3)=62,(0,3)=83,(0,1)=86,(1,4)=93]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=11\",\"Find(3)=1, Find(4)=4, Add (3,4)=23 Succeeded, w=34\",\"Find(2)=1, Find(3)=1, Add (2,3)=62 Failed, w=34\",\"Find(0)=0, Find(3)=1, Add (0,3)=83 Succeeded, w=117\",\"Find(0)=1, Find(1)=1, Add (0,1)=86 Failed, w=117\",\"Find(1)=1, Find(4)=1, Add (1,4)=93 Failed, w=117\"],\"Answer\":117}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,3,83],[1,2,10],[1,3,1],[1,4,93],[2,3,62],[3,4,23]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=1,(1,2)=10,(3,4)=23,(2,3)=62,(0,3)=83,(0,1)=86,(1,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=4, Add (3,4)=23 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=62 Failed, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(3)=1, Add (0,3)=83 Succeeded, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=86 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=93 Failed, w=117\"],\"Answer\":117}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,43],[0,2,82],[0,3,66],[0,4,66],[0,5,92],[1,2,93],[1,3,74],[1,4,72],[1,5,76],[2,4,51],[2,5,100],[3,4,79],[3,5,88],[4,5,29]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,82],[0,3,66],[0,4,66],[0,5,92],[1,2,93],[1,3,74],[1,4,72],[1,5,76],[2,4,51],[2,5,100],[3,4,79],[3,5,88],[4,5,29]]}", "role": "user" }, { "content": "{\"Answer\":255}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,82],[0,3,66],[0,4,66],[0,5,92],[1,2,93],[1,3,74],[1,4,72],[1,5,76],[2,4,51],[2,5,100],[3,4,79],[3,5,88],[4,5,29]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,5)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (0,4)\"],\"Answer\":255}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,82],[0,3,66],[0,4,66],[0,5,92],[1,2,93],[1,3,74],[1,4,72],[1,5,76],[2,4,51],[2,5,100],[3,4,79],[3,5,88],[4,5,29]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,5)=29, w=29\",\"Add (0,1)=43, w=72\",\"Add (2,4)=51, w=123\",\"Add (0,3)=66, w=189\",\"Add (0,4)=66, w=255\"],\"Answer\":255}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,82],[0,3,66],[0,4,66],[0,5,92],[1,2,93],[1,3,74],[1,4,72],[1,5,76],[2,4,51],[2,5,100],[3,4,79],[3,5,88],[4,5,29]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,5)=29 Succeeded, w=29\",\"Add (0,1)=43 Succeeded, w=72\",\"Add (2,4)=51 Succeeded, w=123\",\"Add (0,3)=66 Succeeded, w=189\",\"Add (0,4)=66 Succeeded, w=255\",\"Add (1,4)=72 Failed, w=255\",\"Add (1,3)=74 Failed, w=255\",\"Add (1,5)=76 Failed, w=255\",\"Add (3,4)=79 Failed, w=255\",\"Add (0,2)=82 Failed, w=255\",\"Add (3,5)=88 Failed, w=255\",\"Add (0,5)=92 Failed, w=255\",\"Add (1,2)=93 Failed, w=255\",\"Add (2,5)=100 Failed, w=255\"],\"Answer\":255}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,82],[0,3,66],[0,4,66],[0,5,92],[1,2,93],[1,3,74],[1,4,72],[1,5,76],[2,4,51],[2,5,100],[3,4,79],[3,5,88],[4,5,29]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(4,5)=29,(0,1)=43,(2,4)=51,(0,3)=66,(0,4)=66,(1,4)=72,(1,3)=74,(1,5)=76,(3,4)=79,(0,2)=82,(3,5)=88,(0,5)=92,(1,2)=93,(2,5)=100]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=29 Succeeded, w=29\",\"Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=72\",\"Find(2)=2, Find(4)=4, Add (2,4)=51 Succeeded, w=123\",\"Find(0)=0, Find(3)=3, Add (0,3)=66 Succeeded, w=189\",\"Find(0)=0, Find(4)=4, Add (0,4)=66 Succeeded, w=255\",\"Find(1)=0, Find(4)=0, Add (1,4)=72 Failed, w=255\",\"Find(1)=0, Find(3)=0, Add (1,3)=74 Failed, w=255\",\"Find(1)=0, Find(5)=0, Add (1,5)=76 Failed, w=255\",\"Find(3)=0, Find(4)=0, Add (3,4)=79 Failed, w=255\",\"Find(0)=0, Find(2)=0, Add (0,2)=82 Failed, w=255\",\"Find(3)=0, Find(5)=0, Add (3,5)=88 Failed, w=255\",\"Find(0)=0, Find(5)=0, Add (0,5)=92 Failed, w=255\",\"Find(1)=0, Find(2)=0, Add (1,2)=93 Failed, w=255\",\"Find(2)=0, Find(5)=0, Add (2,5)=100 Failed, w=255\"],\"Answer\":255}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,82],[0,3,66],[0,4,66],[0,5,92],[1,2,93],[1,3,74],[1,4,72],[1,5,76],[2,4,51],[2,5,100],[3,4,79],[3,5,88],[4,5,29]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(4,5)=29,(0,1)=43,(2,4)=51,(0,3)=66,(0,4)=66,(1,4)=72,(1,3)=74,(1,5)=76,(3,4)=79,(0,2)=82,(3,5)=88,(0,5)=92,(1,2)=93,(2,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=29 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 4}, Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 3, 4: 4, 5: 4}, Find(2)=2, Find(4)=4, Add (2,4)=51 Succeeded, w=123\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 4, 5: 4}, Find(0)=0, Find(3)=3, Add (0,3)=66 Succeeded, w=189\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 4}, Find(0)=0, Find(4)=4, Add (0,4)=66 Succeeded, w=255\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 4}, Find(1)=0, Find(4)=0, Add (1,4)=72 Failed, w=255\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 4}, Find(1)=0, Find(3)=0, Add (1,3)=74 Failed, w=255\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=76 Failed, w=255\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=79 Failed, w=255\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=82 Failed, w=255\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=88 Failed, w=255\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=92 Failed, w=255\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=93 Failed, w=255\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=100 Failed, w=255\"],\"Answer\":255}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,94],[0,3,50],[0,4,70],[0,5,63],[1,2,5],[1,3,67],[1,4,49],[2,3,47],[2,4,27],[2,5,3],[3,5,99],[4,5,29]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,94],[0,3,50],[0,4,70],[0,5,63],[1,2,5],[1,3,67],[1,4,49],[2,3,47],[2,4,27],[2,5,3],[3,5,99],[4,5,29]]}", "role": "user" }, { "content": "{\"Answer\":132}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,94],[0,3,50],[0,4,70],[0,5,63],[1,2,5],[1,3,67],[1,4,49],[2,3,47],[2,4,27],[2,5,3],[3,5,99],[4,5,29]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)\",\"Add (1,2)\",\"Add (2,4)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":132}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,94],[0,3,50],[0,4,70],[0,5,63],[1,2,5],[1,3,67],[1,4,49],[2,3,47],[2,4,27],[2,5,3],[3,5,99],[4,5,29]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=3, w=3\",\"Add (1,2)=5, w=8\",\"Add (2,4)=27, w=35\",\"Add (2,3)=47, w=82\",\"Add (0,3)=50, w=132\"],\"Answer\":132}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,94],[0,3,50],[0,4,70],[0,5,63],[1,2,5],[1,3,67],[1,4,49],[2,3,47],[2,4,27],[2,5,3],[3,5,99],[4,5,29]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=3 Succeeded, w=3\",\"Add (1,2)=5 Succeeded, w=8\",\"Add (2,4)=27 Succeeded, w=35\",\"Add (4,5)=29 Failed, w=35\",\"Add (2,3)=47 Succeeded, w=82\",\"Add (1,4)=49 Failed, w=82\",\"Add (0,3)=50 Succeeded, w=132\",\"Add (0,5)=63 Failed, w=132\",\"Add (1,3)=67 Failed, w=132\",\"Add (0,4)=70 Failed, w=132\",\"Add (0,1)=94 Failed, w=132\",\"Add (3,5)=99 Failed, w=132\"],\"Answer\":132}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,94],[0,3,50],[0,4,70],[0,5,63],[1,2,5],[1,3,67],[1,4,49],[2,3,47],[2,4,27],[2,5,3],[3,5,99],[4,5,29]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=3,(1,2)=5,(2,4)=27,(4,5)=29,(2,3)=47,(1,4)=49,(0,3)=50,(0,5)=63,(1,3)=67,(0,4)=70,(0,1)=94,(3,5)=99]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=8\",\"Find(2)=2, Find(4)=4, Add (2,4)=27 Succeeded, w=35\",\"Find(4)=2, Find(5)=2, Add (4,5)=29 Failed, w=35\",\"Find(2)=2, Find(3)=3, Add (2,3)=47 Succeeded, w=82\",\"Find(1)=2, Find(4)=2, Add (1,4)=49 Failed, w=82\",\"Find(0)=0, Find(3)=2, Add (0,3)=50 Succeeded, w=132\",\"Find(0)=2, Find(5)=2, Add (0,5)=63 Failed, w=132\",\"Find(1)=2, Find(3)=2, Add (1,3)=67 Failed, w=132\",\"Find(0)=2, Find(4)=2, Add (0,4)=70 Failed, w=132\",\"Find(0)=2, Find(1)=2, Add (0,1)=94 Failed, w=132\",\"Find(3)=2, Find(5)=2, Add (3,5)=99 Failed, w=132\"],\"Answer\":132}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,94],[0,3,50],[0,4,70],[0,5,63],[1,2,5],[1,3,67],[1,4,49],[2,3,47],[2,4,27],[2,5,3],[3,5,99],[4,5,29]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=3,(1,2)=5,(2,4)=27,(4,5)=29,(2,3)=47,(1,4)=49,(0,3)=50,(0,5)=63,(1,3)=67,(0,4)=70,(0,1)=94,(3,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(2)=2, Find(4)=4, Add (2,4)=27 Succeeded, w=35\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=29 Failed, w=35\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=3, Add (2,3)=47 Succeeded, w=82\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=49 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(3)=2, Add (0,3)=50 Succeeded, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=63 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=67 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=70 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=94 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=99 Failed, w=132\"],\"Answer\":132}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,95],[0,2,98],[0,3,1],[0,4,88],[0,5,86],[0,6,4],[1,2,95],[1,3,22],[1,5,47],[1,6,93],[2,3,88],[2,4,50],[2,5,52],[2,6,93],[3,4,88],[3,5,45],[3,6,4],[4,5,38],[4,6,22],[5,6,36]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,98],[0,3,1],[0,4,88],[0,5,86],[0,6,4],[1,2,95],[1,3,22],[1,5,47],[1,6,93],[2,3,88],[2,4,50],[2,5,52],[2,6,93],[3,4,88],[3,5,45],[3,6,4],[4,5,38],[4,6,22],[5,6,36]]}", "role": "user" }, { "content": "{\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,98],[0,3,1],[0,4,88],[0,5,86],[0,6,4],[1,2,95],[1,3,22],[1,5,47],[1,6,93],[2,3,88],[2,4,50],[2,5,52],[2,6,93],[3,4,88],[3,5,45],[3,6,4],[4,5,38],[4,6,22],[5,6,36]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (0,6)\",\"Add (1,3)\",\"Add (4,6)\",\"Add (5,6)\",\"Add (2,4)\"],\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,98],[0,3,1],[0,4,88],[0,5,86],[0,6,4],[1,2,95],[1,3,22],[1,5,47],[1,6,93],[2,3,88],[2,4,50],[2,5,52],[2,6,93],[3,4,88],[3,5,45],[3,6,4],[4,5,38],[4,6,22],[5,6,36]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=1, w=1\",\"Add (0,6)=4, w=5\",\"Add (1,3)=22, w=27\",\"Add (4,6)=22, w=49\",\"Add (5,6)=36, w=85\",\"Add (2,4)=50, w=135\"],\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,98],[0,3,1],[0,4,88],[0,5,86],[0,6,4],[1,2,95],[1,3,22],[1,5,47],[1,6,93],[2,3,88],[2,4,50],[2,5,52],[2,6,93],[3,4,88],[3,5,45],[3,6,4],[4,5,38],[4,6,22],[5,6,36]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=1 Succeeded, w=1\",\"Add (0,6)=4 Succeeded, w=5\",\"Add (3,6)=4 Failed, w=5\",\"Add (1,3)=22 Succeeded, w=27\",\"Add (4,6)=22 Succeeded, w=49\",\"Add (5,6)=36 Succeeded, w=85\",\"Add (4,5)=38 Failed, w=85\",\"Add (3,5)=45 Failed, w=85\",\"Add (1,5)=47 Failed, w=85\",\"Add (2,4)=50 Succeeded, w=135\",\"Add (2,5)=52 Failed, w=135\",\"Add (0,5)=86 Failed, w=135\",\"Add (0,4)=88 Failed, w=135\",\"Add (2,3)=88 Failed, w=135\",\"Add (3,4)=88 Failed, w=135\",\"Add (1,6)=93 Failed, w=135\",\"Add (2,6)=93 Failed, w=135\",\"Add (0,1)=95 Failed, w=135\",\"Add (1,2)=95 Failed, w=135\",\"Add (0,2)=98 Failed, w=135\"],\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,98],[0,3,1],[0,4,88],[0,5,86],[0,6,4],[1,2,95],[1,3,22],[1,5,47],[1,6,93],[2,3,88],[2,4,50],[2,5,52],[2,6,93],[3,4,88],[3,5,45],[3,6,4],[4,5,38],[4,6,22],[5,6,36]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=1,(0,6)=4,(3,6)=4,(1,3)=22,(4,6)=22,(5,6)=36,(4,5)=38,(3,5)=45,(1,5)=47,(2,4)=50,(2,5)=52,(0,5)=86,(0,4)=88,(2,3)=88,(3,4)=88,(1,6)=93,(2,6)=93,(0,1)=95,(1,2)=95,(0,2)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(6)=6, Add (0,6)=4 Succeeded, w=5\",\"Find(3)=0, Find(6)=0, Add (3,6)=4 Failed, w=5\",\"Find(1)=1, Find(3)=0, Add (1,3)=22 Succeeded, w=27\",\"Find(4)=4, Find(6)=0, Add (4,6)=22 Succeeded, w=49\",\"Find(5)=5, Find(6)=0, Add (5,6)=36 Succeeded, w=85\",\"Find(4)=0, Find(5)=0, Add (4,5)=38 Failed, w=85\",\"Find(3)=0, Find(5)=0, Add (3,5)=45 Failed, w=85\",\"Find(1)=0, Find(5)=0, Add (1,5)=47 Failed, w=85\",\"Find(2)=2, Find(4)=0, Add (2,4)=50 Succeeded, w=135\",\"Find(2)=0, Find(5)=0, Add (2,5)=52 Failed, w=135\",\"Find(0)=0, Find(5)=0, Add (0,5)=86 Failed, w=135\",\"Find(0)=0, Find(4)=0, Add (0,4)=88 Failed, w=135\",\"Find(2)=0, Find(3)=0, Add (2,3)=88 Failed, w=135\",\"Find(3)=0, Find(4)=0, Add (3,4)=88 Failed, w=135\",\"Find(1)=0, Find(6)=0, Add (1,6)=93 Failed, w=135\",\"Find(2)=0, Find(6)=0, Add (2,6)=93 Failed, w=135\",\"Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=135\",\"Find(1)=0, Find(2)=0, Add (1,2)=95 Failed, w=135\",\"Find(0)=0, Find(2)=0, Add (0,2)=98 Failed, w=135\"],\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,98],[0,3,1],[0,4,88],[0,5,86],[0,6,4],[1,2,95],[1,3,22],[1,5,47],[1,6,93],[2,3,88],[2,4,50],[2,5,52],[2,6,93],[3,4,88],[3,5,45],[3,6,4],[4,5,38],[4,6,22],[5,6,36]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=1,(0,6)=4,(3,6)=4,(1,3)=22,(4,6)=22,(5,6)=36,(4,5)=38,(3,5)=45,(1,5)=47,(2,4)=50,(2,5)=52,(0,5)=86,(0,4)=88,(2,3)=88,(3,4)=88,(1,6)=93,(2,6)=93,(0,1)=95,(1,2)=95,(0,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=4 Failed, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0}, Find(1)=1, Find(3)=0, Add (1,3)=22 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=22 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=5, Find(6)=0, Add (5,6)=36 Succeeded, w=85\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=38 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=45 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=47 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=2, Find(4)=0, Add (2,4)=50 Succeeded, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=52 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=86 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=88 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=88 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=88 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=93 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=93 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=95 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=98 Failed, w=135\"],\"Answer\":135}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,58],[0,2,94],[0,3,39],[0,4,54],[0,5,49],[1,2,43],[1,3,7],[1,5,79],[2,3,28],[2,5,83],[3,4,0],[3,5,86],[4,5,92]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,2,94],[0,3,39],[0,4,54],[0,5,49],[1,2,43],[1,3,7],[1,5,79],[2,3,28],[2,5,83],[3,4,0],[3,5,86],[4,5,92]]}", "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\":[[0,1,58],[0,2,94],[0,3,39],[0,4,54],[0,5,49],[1,2,43],[1,3,7],[1,5,79],[2,3,28],[2,5,83],[3,4,0],[3,5,86],[4,5,92]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (0,5)\"],\"Answer\":123}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,2,94],[0,3,39],[0,4,54],[0,5,49],[1,2,43],[1,3,7],[1,5,79],[2,3,28],[2,5,83],[3,4,0],[3,5,86],[4,5,92]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=0, w=0\",\"Add (1,3)=7, w=7\",\"Add (2,3)=28, w=35\",\"Add (0,3)=39, w=74\",\"Add (0,5)=49, 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\":[[0,1,58],[0,2,94],[0,3,39],[0,4,54],[0,5,49],[1,2,43],[1,3,7],[1,5,79],[2,3,28],[2,5,83],[3,4,0],[3,5,86],[4,5,92]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=0 Succeeded, w=0\",\"Add (1,3)=7 Succeeded, w=7\",\"Add (2,3)=28 Succeeded, w=35\",\"Add (0,3)=39 Succeeded, w=74\",\"Add (1,2)=43 Failed, w=74\",\"Add (0,5)=49 Succeeded, w=123\",\"Add (0,4)=54 Failed, w=123\",\"Add (0,1)=58 Failed, w=123\",\"Add (1,5)=79 Failed, w=123\",\"Add (2,5)=83 Failed, w=123\",\"Add (3,5)=86 Failed, w=123\",\"Add (4,5)=92 Failed, w=123\",\"Add (0,2)=94 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\":[[0,1,58],[0,2,94],[0,3,39],[0,4,54],[0,5,49],[1,2,43],[1,3,7],[1,5,79],[2,3,28],[2,5,83],[3,4,0],[3,5,86],[4,5,92]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=0,(1,3)=7,(2,3)=28,(0,3)=39,(1,2)=43,(0,5)=49,(0,4)=54,(0,1)=58,(1,5)=79,(2,5)=83,(3,5)=86,(4,5)=92,(0,2)=94]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=7\",\"Find(2)=2, Find(3)=3, Add (2,3)=28 Succeeded, w=35\",\"Find(0)=0, Find(3)=3, Add (0,3)=39 Succeeded, w=74\",\"Find(1)=3, Find(2)=3, Add (1,2)=43 Failed, w=74\",\"Find(0)=3, Find(5)=5, Add (0,5)=49 Succeeded, w=123\",\"Find(0)=3, Find(4)=3, Add (0,4)=54 Failed, w=123\",\"Find(0)=3, Find(1)=3, Add (0,1)=58 Failed, w=123\",\"Find(1)=3, Find(5)=3, Add (1,5)=79 Failed, w=123\",\"Find(2)=3, Find(5)=3, Add (2,5)=83 Failed, w=123\",\"Find(3)=3, Find(5)=3, Add (3,5)=86 Failed, w=123\",\"Find(4)=3, Find(5)=3, Add (4,5)=92 Failed, w=123\",\"Find(0)=3, Find(2)=3, Add (0,2)=94 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\":[[0,1,58],[0,2,94],[0,3,39],[0,4,54],[0,5,49],[1,2,43],[1,3,7],[1,5,79],[2,3,28],[2,5,83],[3,4,0],[3,5,86],[4,5,92]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=0,(1,3)=7,(2,3)=28,(0,3)=39,(1,2)=43,(0,5)=49,(0,4)=54,(0,1)=58,(1,5)=79,(2,5)=83,(3,5)=86,(4,5)=92,(0,2)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=28 Succeeded, w=35\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=39 Succeeded, w=74\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5}, Find(1)=3, Find(2)=3, Add (1,2)=43 Failed, w=74\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=5, Add (0,5)=49 Succeeded, w=123\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=54 Failed, w=123\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(1)=3, Add (0,1)=58 Failed, w=123\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=79 Failed, w=123\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=83 Failed, w=123\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=3, Add (3,5)=86 Failed, w=123\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=92 Failed, w=123\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=94 Failed, w=123\"],\"Answer\":123}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,92],[0,2,78],[0,3,0],[0,5,14],[0,6,43],[1,4,0],[1,5,53],[1,6,33],[1,7,15],[2,3,65],[2,4,32],[2,5,16],[2,6,20],[3,5,3],[3,6,66],[4,5,76],[4,7,53],[5,6,38],[5,7,61],[6,7,54]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,78],[0,3,0],[0,5,14],[0,6,43],[1,4,0],[1,5,53],[1,6,33],[1,7,15],[2,3,65],[2,4,32],[2,5,16],[2,6,20],[3,5,3],[3,6,66],[4,5,76],[4,7,53],[5,6,38],[5,7,61],[6,7,54]]}", "role": "user" }, { "content": "{\"Answer\":86}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,78],[0,3,0],[0,5,14],[0,6,43],[1,4,0],[1,5,53],[1,6,33],[1,7,15],[2,3,65],[2,4,32],[2,5,16],[2,6,20],[3,5,3],[3,6,66],[4,5,76],[4,7,53],[5,6,38],[5,7,61],[6,7,54]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (1,4)\",\"Add (3,5)\",\"Add (1,7)\",\"Add (2,5)\",\"Add (2,6)\",\"Add (2,4)\"],\"Answer\":86}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,78],[0,3,0],[0,5,14],[0,6,43],[1,4,0],[1,5,53],[1,6,33],[1,7,15],[2,3,65],[2,4,32],[2,5,16],[2,6,20],[3,5,3],[3,6,66],[4,5,76],[4,7,53],[5,6,38],[5,7,61],[6,7,54]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (1,4)=0, w=0\",\"Add (3,5)=3, w=3\",\"Add (1,7)=15, w=18\",\"Add (2,5)=16, w=34\",\"Add (2,6)=20, w=54\",\"Add (2,4)=32, w=86\"],\"Answer\":86}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,78],[0,3,0],[0,5,14],[0,6,43],[1,4,0],[1,5,53],[1,6,33],[1,7,15],[2,3,65],[2,4,32],[2,5,16],[2,6,20],[3,5,3],[3,6,66],[4,5,76],[4,7,53],[5,6,38],[5,7,61],[6,7,54]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (1,4)=0 Succeeded, w=0\",\"Add (3,5)=3 Succeeded, w=3\",\"Add (0,5)=14 Failed, w=3\",\"Add (1,7)=15 Succeeded, w=18\",\"Add (2,5)=16 Succeeded, w=34\",\"Add (2,6)=20 Succeeded, w=54\",\"Add (2,4)=32 Succeeded, w=86\",\"Add (1,6)=33 Failed, w=86\",\"Add (5,6)=38 Failed, w=86\",\"Add (0,6)=43 Failed, w=86\",\"Add (1,5)=53 Failed, w=86\",\"Add (4,7)=53 Failed, w=86\",\"Add (6,7)=54 Failed, w=86\",\"Add (5,7)=61 Failed, w=86\",\"Add (2,3)=65 Failed, w=86\",\"Add (3,6)=66 Failed, w=86\",\"Add (4,5)=76 Failed, w=86\",\"Add (0,2)=78 Failed, w=86\",\"Add (0,1)=92 Failed, w=86\"],\"Answer\":86}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,78],[0,3,0],[0,5,14],[0,6,43],[1,4,0],[1,5,53],[1,6,33],[1,7,15],[2,3,65],[2,4,32],[2,5,16],[2,6,20],[3,5,3],[3,6,66],[4,5,76],[4,7,53],[5,6,38],[5,7,61],[6,7,54]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=0,(1,4)=0,(3,5)=3,(0,5)=14,(1,7)=15,(2,5)=16,(2,6)=20,(2,4)=32,(1,6)=33,(5,6)=38,(0,6)=43,(1,5)=53,(4,7)=53,(6,7)=54,(5,7)=61,(2,3)=65,(3,6)=66,(4,5)=76,(0,2)=78,(0,1)=92]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(3)=0, Find(5)=5, Add (3,5)=3 Succeeded, w=3\",\"Find(0)=0, Find(5)=0, Add (0,5)=14 Failed, w=3\",\"Find(1)=1, Find(7)=7, Add (1,7)=15 Succeeded, w=18\",\"Find(2)=2, Find(5)=0, Add (2,5)=16 Succeeded, w=34\",\"Find(2)=0, Find(6)=6, Add (2,6)=20 Succeeded, w=54\",\"Find(2)=0, Find(4)=1, Add (2,4)=32 Succeeded, w=86\",\"Find(1)=0, Find(6)=0, Add (1,6)=33 Failed, w=86\",\"Find(5)=0, Find(6)=0, Add (5,6)=38 Failed, w=86\",\"Find(0)=0, Find(6)=0, Add (0,6)=43 Failed, w=86\",\"Find(1)=0, Find(5)=0, Add (1,5)=53 Failed, w=86\",\"Find(4)=0, Find(7)=0, Add (4,7)=53 Failed, w=86\",\"Find(6)=0, Find(7)=0, Add (6,7)=54 Failed, w=86\",\"Find(5)=0, Find(7)=0, Add (5,7)=61 Failed, w=86\",\"Find(2)=0, Find(3)=0, Add (2,3)=65 Failed, w=86\",\"Find(3)=0, Find(6)=0, Add (3,6)=66 Failed, w=86\",\"Find(4)=0, Find(5)=0, Add (4,5)=76 Failed, w=86\",\"Find(0)=0, Find(2)=0, Add (0,2)=78 Failed, w=86\",\"Find(0)=0, Find(1)=0, Add (0,1)=92 Failed, w=86\"],\"Answer\":86}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,78],[0,3,0],[0,5,14],[0,6,43],[1,4,0],[1,5,53],[1,6,33],[1,7,15],[2,3,65],[2,4,32],[2,5,16],[2,6,20],[3,5,3],[3,6,66],[4,5,76],[4,7,53],[5,6,38],[5,7,61],[6,7,54]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=0,(1,4)=0,(3,5)=3,(0,5)=14,(1,7)=15,(2,5)=16,(2,6)=20,(2,4)=32,(1,6)=33,(5,6)=38,(0,6)=43,(1,5)=53,(4,7)=53,(6,7)=54,(5,7)=61,(2,3)=65,(3,6)=66,(4,5)=76,(0,2)=78,(0,1)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 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: 2, 3: 0, 4: 1, 5: 0, 6: 6, 7: 7}, Find(3)=0, Find(5)=5, Add (3,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=0, Add (0,5)=14 Failed, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 0, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=15 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 0, 6: 6, 7: 1}, Find(2)=2, Find(5)=0, Add (2,5)=16 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 1}, Find(2)=0, Find(6)=6, Add (2,6)=20 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 1}, Find(2)=0, Find(4)=1, Add (2,4)=32 Succeeded, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 1}, Find(1)=0, Find(6)=0, Add (1,6)=33 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 1}, Find(5)=0, Find(6)=0, Add (5,6)=38 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 1}, Find(0)=0, Find(6)=0, Add (0,6)=43 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 1}, Find(1)=0, Find(5)=0, Add (1,5)=53 Failed, w=86\",\"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)=53 Failed, w=86\",\"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)=54 Failed, w=86\",\"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)=61 Failed, w=86\",\"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)=65 Failed, w=86\",\"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)=66 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=76 Failed, w=86\",\"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)=78 Failed, w=86\",\"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)=92 Failed, w=86\"],\"Answer\":86}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,47],[0,2,90],[0,3,7],[0,4,98],[1,2,82],[1,3,71],[1,4,90],[2,3,73],[2,4,90],[3,4,80]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,90],[0,3,7],[0,4,98],[1,2,82],[1,3,71],[1,4,90],[2,3,73],[2,4,90],[3,4,80]]}", "role": "user" }, { "content": "{\"Answer\":207}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,90],[0,3,7],[0,4,98],[1,2,82],[1,3,71],[1,4,90],[2,3,73],[2,4,90],[3,4,80]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (3,4)\"],\"Answer\":207}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,90],[0,3,7],[0,4,98],[1,2,82],[1,3,71],[1,4,90],[2,3,73],[2,4,90],[3,4,80]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=7, w=7\",\"Add (0,1)=47, w=54\",\"Add (2,3)=73, w=127\",\"Add (3,4)=80, w=207\"],\"Answer\":207}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,90],[0,3,7],[0,4,98],[1,2,82],[1,3,71],[1,4,90],[2,3,73],[2,4,90],[3,4,80]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=7 Succeeded, w=7\",\"Add (0,1)=47 Succeeded, w=54\",\"Add (1,3)=71 Failed, w=54\",\"Add (2,3)=73 Succeeded, w=127\",\"Add (3,4)=80 Succeeded, w=207\",\"Add (1,2)=82 Failed, w=207\",\"Add (0,2)=90 Failed, w=207\",\"Add (1,4)=90 Failed, w=207\",\"Add (2,4)=90 Failed, w=207\",\"Add (0,4)=98 Failed, w=207\"],\"Answer\":207}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,90],[0,3,7],[0,4,98],[1,2,82],[1,3,71],[1,4,90],[2,3,73],[2,4,90],[3,4,80]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=7,(0,1)=47,(1,3)=71,(2,3)=73,(3,4)=80,(1,2)=82,(0,2)=90,(1,4)=90,(2,4)=90,(0,4)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Find(0)=0, Find(1)=1, Add (0,1)=47 Succeeded, w=54\",\"Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=54\",\"Find(2)=2, Find(3)=0, Add (2,3)=73 Succeeded, w=127\",\"Find(3)=0, Find(4)=4, Add (3,4)=80 Succeeded, w=207\",\"Find(1)=0, Find(2)=0, Add (1,2)=82 Failed, w=207\",\"Find(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=207\",\"Find(1)=0, Find(4)=0, Add (1,4)=90 Failed, w=207\",\"Find(2)=0, Find(4)=0, Add (2,4)=90 Failed, w=207\",\"Find(0)=0, Find(4)=0, Add (0,4)=98 Failed, w=207\"],\"Answer\":207}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,90],[0,3,7],[0,4,98],[1,2,82],[1,3,71],[1,4,90],[2,3,73],[2,4,90],[3,4,80]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=7,(0,1)=47,(1,3)=71,(2,3)=73,(3,4)=80,(1,2)=82,(0,2)=90,(1,4)=90,(2,4)=90,(0,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=47 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(2)=2, Find(3)=0, Add (2,3)=73 Succeeded, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=80 Succeeded, w=207\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=82 Failed, w=207\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=207\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=90 Failed, w=207\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=90 Failed, w=207\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=98 Failed, w=207\"],\"Answer\":207}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,72],[0,2,39],[0,3,47],[0,4,81],[0,6,34],[1,2,32],[1,3,9],[1,5,8],[1,6,32],[2,3,3],[2,4,55],[2,5,38],[2,6,76],[3,4,92],[3,5,65],[3,6,9]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,39],[0,3,47],[0,4,81],[0,6,34],[1,2,32],[1,3,9],[1,5,8],[1,6,32],[2,3,3],[2,4,55],[2,5,38],[2,6,76],[3,4,92],[3,5,65],[3,6,9]]}", "role": "user" }, { "content": "{\"Answer\":118}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,39],[0,3,47],[0,4,81],[0,6,34],[1,2,32],[1,3,9],[1,5,8],[1,6,32],[2,3,3],[2,4,55],[2,5,38],[2,6,76],[3,4,92],[3,5,65],[3,6,9]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (1,5)\",\"Add (1,3)\",\"Add (3,6)\",\"Add (0,6)\",\"Add (2,4)\"],\"Answer\":118}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,39],[0,3,47],[0,4,81],[0,6,34],[1,2,32],[1,3,9],[1,5,8],[1,6,32],[2,3,3],[2,4,55],[2,5,38],[2,6,76],[3,4,92],[3,5,65],[3,6,9]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=3, w=3\",\"Add (1,5)=8, w=11\",\"Add (1,3)=9, w=20\",\"Add (3,6)=9, w=29\",\"Add (0,6)=34, w=63\",\"Add (2,4)=55, w=118\"],\"Answer\":118}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,39],[0,3,47],[0,4,81],[0,6,34],[1,2,32],[1,3,9],[1,5,8],[1,6,32],[2,3,3],[2,4,55],[2,5,38],[2,6,76],[3,4,92],[3,5,65],[3,6,9]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=3 Succeeded, w=3\",\"Add (1,5)=8 Succeeded, w=11\",\"Add (1,3)=9 Succeeded, w=20\",\"Add (3,6)=9 Succeeded, w=29\",\"Add (1,2)=32 Failed, w=29\",\"Add (1,6)=32 Failed, w=29\",\"Add (0,6)=34 Succeeded, w=63\",\"Add (2,5)=38 Failed, w=63\",\"Add (0,2)=39 Failed, w=63\",\"Add (0,3)=47 Failed, w=63\",\"Add (2,4)=55 Succeeded, w=118\",\"Add (3,5)=65 Failed, w=118\",\"Add (0,1)=72 Failed, w=118\",\"Add (2,6)=76 Failed, w=118\",\"Add (0,4)=81 Failed, w=118\",\"Add (3,4)=92 Failed, w=118\"],\"Answer\":118}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,39],[0,3,47],[0,4,81],[0,6,34],[1,2,32],[1,3,9],[1,5,8],[1,6,32],[2,3,3],[2,4,55],[2,5,38],[2,6,76],[3,4,92],[3,5,65],[3,6,9]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=3,(1,5)=8,(1,3)=9,(3,6)=9,(1,2)=32,(1,6)=32,(0,6)=34,(2,5)=38,(0,2)=39,(0,3)=47,(2,4)=55,(3,5)=65,(0,1)=72,(2,6)=76,(0,4)=81,(3,4)=92]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Find(1)=1, Find(5)=5, Add (1,5)=8 Succeeded, w=11\",\"Find(1)=1, Find(3)=2, Add (1,3)=9 Succeeded, w=20\",\"Find(3)=1, Find(6)=6, Add (3,6)=9 Succeeded, w=29\",\"Find(1)=1, Find(2)=1, Add (1,2)=32 Failed, w=29\",\"Find(1)=1, Find(6)=1, Add (1,6)=32 Failed, w=29\",\"Find(0)=0, Find(6)=1, Add (0,6)=34 Succeeded, w=63\",\"Find(2)=1, Find(5)=1, Add (2,5)=38 Failed, w=63\",\"Find(0)=1, Find(2)=1, Add (0,2)=39 Failed, w=63\",\"Find(0)=1, Find(3)=1, Add (0,3)=47 Failed, w=63\",\"Find(2)=1, Find(4)=4, Add (2,4)=55 Succeeded, w=118\",\"Find(3)=1, Find(5)=1, Add (3,5)=65 Failed, w=118\",\"Find(0)=1, Find(1)=1, Add (0,1)=72 Failed, w=118\",\"Find(2)=1, Find(6)=1, Add (2,6)=76 Failed, w=118\",\"Find(0)=1, Find(4)=1, Add (0,4)=81 Failed, w=118\",\"Find(3)=1, Find(4)=1, Add (3,4)=92 Failed, w=118\"],\"Answer\":118}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,39],[0,3,47],[0,4,81],[0,6,34],[1,2,32],[1,3,9],[1,5,8],[1,6,32],[2,3,3],[2,4,55],[2,5,38],[2,6,76],[3,4,92],[3,5,65],[3,6,9]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=3,(1,5)=8,(1,3)=9,(3,6)=9,(1,2)=32,(1,6)=32,(0,6)=34,(2,5)=38,(0,2)=39,(0,3)=47,(2,4)=55,(3,5)=65,(0,1)=72,(2,6)=76,(0,4)=81,(3,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=8 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 2, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(3)=2, Add (1,3)=9 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(3)=1, Find(6)=6, Add (3,6)=9 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=32 Failed, w=29\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=32 Failed, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=34 Succeeded, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=38 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=39 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=47 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=4, Add (2,4)=55 Succeeded, w=118\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=65 Failed, w=118\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=72 Failed, w=118\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=76 Failed, w=118\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=81 Failed, w=118\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=92 Failed, w=118\"],\"Answer\":118}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,62],[0,2,44],[0,3,51],[0,4,55],[0,6,29],[1,2,61],[1,3,5],[1,4,85],[1,5,2],[1,6,30],[2,3,15],[2,4,49],[2,5,40],[2,6,73],[3,4,94],[3,6,93],[4,5,1],[4,6,39],[5,6,69]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,44],[0,3,51],[0,4,55],[0,6,29],[1,2,61],[1,3,5],[1,4,85],[1,5,2],[1,6,30],[2,3,15],[2,4,49],[2,5,40],[2,6,73],[3,4,94],[3,6,93],[4,5,1],[4,6,39],[5,6,69]]}", "role": "user" }, { "content": "{\"Answer\":82}", "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],[0,2,44],[0,3,51],[0,4,55],[0,6,29],[1,2,61],[1,3,5],[1,4,85],[1,5,2],[1,6,30],[2,3,15],[2,4,49],[2,5,40],[2,6,73],[3,4,94],[3,6,93],[4,5,1],[4,6,39],[5,6,69]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,5)\",\"Add (1,5)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (0,6)\",\"Add (1,6)\"],\"Answer\":82}", "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],[0,2,44],[0,3,51],[0,4,55],[0,6,29],[1,2,61],[1,3,5],[1,4,85],[1,5,2],[1,6,30],[2,3,15],[2,4,49],[2,5,40],[2,6,73],[3,4,94],[3,6,93],[4,5,1],[4,6,39],[5,6,69]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,5)=1, w=1\",\"Add (1,5)=2, w=3\",\"Add (1,3)=5, w=8\",\"Add (2,3)=15, w=23\",\"Add (0,6)=29, w=52\",\"Add (1,6)=30, w=82\"],\"Answer\":82}", "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],[0,2,44],[0,3,51],[0,4,55],[0,6,29],[1,2,61],[1,3,5],[1,4,85],[1,5,2],[1,6,30],[2,3,15],[2,4,49],[2,5,40],[2,6,73],[3,4,94],[3,6,93],[4,5,1],[4,6,39],[5,6,69]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,5)=1 Succeeded, w=1\",\"Add (1,5)=2 Succeeded, w=3\",\"Add (1,3)=5 Succeeded, w=8\",\"Add (2,3)=15 Succeeded, w=23\",\"Add (0,6)=29 Succeeded, w=52\",\"Add (1,6)=30 Succeeded, w=82\",\"Add (4,6)=39 Failed, w=82\",\"Add (2,5)=40 Failed, w=82\",\"Add (0,2)=44 Failed, w=82\",\"Add (2,4)=49 Failed, w=82\",\"Add (0,3)=51 Failed, w=82\",\"Add (0,4)=55 Failed, w=82\",\"Add (1,2)=61 Failed, w=82\",\"Add (0,1)=62 Failed, w=82\",\"Add (5,6)=69 Failed, w=82\",\"Add (2,6)=73 Failed, w=82\",\"Add (1,4)=85 Failed, w=82\",\"Add (3,6)=93 Failed, w=82\",\"Add (3,4)=94 Failed, w=82\"],\"Answer\":82}", "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],[0,2,44],[0,3,51],[0,4,55],[0,6,29],[1,2,61],[1,3,5],[1,4,85],[1,5,2],[1,6,30],[2,3,15],[2,4,49],[2,5,40],[2,6,73],[3,4,94],[3,6,93],[4,5,1],[4,6,39],[5,6,69]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(4,5)=1,(1,5)=2,(1,3)=5,(2,3)=15,(0,6)=29,(1,6)=30,(4,6)=39,(2,5)=40,(0,2)=44,(2,4)=49,(0,3)=51,(0,4)=55,(1,2)=61,(0,1)=62,(5,6)=69,(2,6)=73,(1,4)=85,(3,6)=93,(3,4)=94]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Find(1)=1, Find(5)=4, Add (1,5)=2 Succeeded, w=3\",\"Find(1)=4, Find(3)=3, Add (1,3)=5 Succeeded, w=8\",\"Find(2)=2, Find(3)=4, Add (2,3)=15 Succeeded, w=23\",\"Find(0)=0, Find(6)=6, Add (0,6)=29 Succeeded, w=52\",\"Find(1)=4, Find(6)=0, Add (1,6)=30 Succeeded, w=82\",\"Find(4)=4, Find(6)=4, Add (4,6)=39 Failed, w=82\",\"Find(2)=4, Find(5)=4, Add (2,5)=40 Failed, w=82\",\"Find(0)=4, Find(2)=4, Add (0,2)=44 Failed, w=82\",\"Find(2)=4, Find(4)=4, Add (2,4)=49 Failed, w=82\",\"Find(0)=4, Find(3)=4, Add (0,3)=51 Failed, w=82\",\"Find(0)=4, Find(4)=4, Add (0,4)=55 Failed, w=82\",\"Find(1)=4, Find(2)=4, Add (1,2)=61 Failed, w=82\",\"Find(0)=4, Find(1)=4, Add (0,1)=62 Failed, w=82\",\"Find(5)=4, Find(6)=4, Add (5,6)=69 Failed, w=82\",\"Find(2)=4, Find(6)=4, Add (2,6)=73 Failed, w=82\",\"Find(1)=4, Find(4)=4, Add (1,4)=85 Failed, w=82\",\"Find(3)=4, Find(6)=4, Add (3,6)=93 Failed, w=82\",\"Find(3)=4, Find(4)=4, Add (3,4)=94 Failed, w=82\"],\"Answer\":82}", "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],[0,2,44],[0,3,51],[0,4,55],[0,6,29],[1,2,61],[1,3,5],[1,4,85],[1,5,2],[1,6,30],[2,3,15],[2,4,49],[2,5,40],[2,6,73],[3,4,94],[3,6,93],[4,5,1],[4,6,39],[5,6,69]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(4,5)=1,(1,5)=2,(1,3)=5,(2,3)=15,(0,6)=29,(1,6)=30,(4,6)=39,(2,5)=40,(0,2)=44,(2,4)=49,(0,3)=51,(0,4)=55,(1,2)=61,(0,1)=62,(5,6)=69,(2,6)=73,(1,4)=85,(3,6)=93,(3,4)=94]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(1)=1, Find(5)=4, Add (1,5)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 6}, Find(1)=4, Find(3)=3, Add (1,3)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6}, Find(2)=2, Find(3)=4, Add (2,3)=15 Succeeded, w=23\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=29 Succeeded, w=52\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 0}, Find(1)=4, Find(6)=0, Add (1,6)=30 Succeeded, w=82\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(6)=4, Add (4,6)=39 Failed, w=82\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(5)=4, Add (2,5)=40 Failed, w=82\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(2)=4, Add (0,2)=44 Failed, w=82\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(4)=4, Add (2,4)=49 Failed, w=82\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(3)=4, Add (0,3)=51 Failed, w=82\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(4)=4, Add (0,4)=55 Failed, w=82\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(2)=4, Add (1,2)=61 Failed, w=82\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(1)=4, Add (0,1)=62 Failed, w=82\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=4, Add (5,6)=69 Failed, w=82\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(6)=4, Add (2,6)=73 Failed, w=82\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(4)=4, Add (1,4)=85 Failed, w=82\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(6)=4, Add (3,6)=93 Failed, w=82\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(4)=4, Add (3,4)=94 Failed, w=82\"],\"Answer\":82}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,11],[0,3,90],[0,5,72],[0,6,30],[1,2,33],[1,4,54],[1,5,65],[1,6,87],[2,3,67],[2,4,93],[2,5,4],[2,6,22],[3,4,0],[3,5,93],[3,6,69],[5,6,0]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,11],[0,3,90],[0,5,72],[0,6,30],[1,2,33],[1,4,54],[1,5,65],[1,6,87],[2,3,67],[2,4,93],[2,5,4],[2,6,22],[3,4,0],[3,5,93],[3,6,69],[5,6,0]]}", "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\":[[0,2,11],[0,3,90],[0,5,72],[0,6,30],[1,2,33],[1,4,54],[1,5,65],[1,6,87],[2,3,67],[2,4,93],[2,5,4],[2,6,22],[3,4,0],[3,5,93],[3,6,69],[5,6,0]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)\",\"Add (5,6)\",\"Add (2,5)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (1,4)\"],\"Answer\":102}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,11],[0,3,90],[0,5,72],[0,6,30],[1,2,33],[1,4,54],[1,5,65],[1,6,87],[2,3,67],[2,4,93],[2,5,4],[2,6,22],[3,4,0],[3,5,93],[3,6,69],[5,6,0]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=0, w=0\",\"Add (5,6)=0, w=0\",\"Add (2,5)=4, w=4\",\"Add (0,2)=11, w=15\",\"Add (1,2)=33, w=48\",\"Add (1,4)=54, 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\":[[0,2,11],[0,3,90],[0,5,72],[0,6,30],[1,2,33],[1,4,54],[1,5,65],[1,6,87],[2,3,67],[2,4,93],[2,5,4],[2,6,22],[3,4,0],[3,5,93],[3,6,69],[5,6,0]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=0 Succeeded, w=0\",\"Add (5,6)=0 Succeeded, w=0\",\"Add (2,5)=4 Succeeded, w=4\",\"Add (0,2)=11 Succeeded, w=15\",\"Add (2,6)=22 Failed, w=15\",\"Add (0,6)=30 Failed, w=15\",\"Add (1,2)=33 Succeeded, w=48\",\"Add (1,4)=54 Succeeded, w=102\",\"Add (1,5)=65 Failed, w=102\",\"Add (2,3)=67 Failed, w=102\",\"Add (3,6)=69 Failed, w=102\",\"Add (0,5)=72 Failed, w=102\",\"Add (1,6)=87 Failed, w=102\",\"Add (0,3)=90 Failed, w=102\",\"Add (2,4)=93 Failed, w=102\",\"Add (3,5)=93 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\":[[0,2,11],[0,3,90],[0,5,72],[0,6,30],[1,2,33],[1,4,54],[1,5,65],[1,6,87],[2,3,67],[2,4,93],[2,5,4],[2,6,22],[3,4,0],[3,5,93],[3,6,69],[5,6,0]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=0,(5,6)=0,(2,5)=4,(0,2)=11,(2,6)=22,(0,6)=30,(1,2)=33,(1,4)=54,(1,5)=65,(2,3)=67,(3,6)=69,(0,5)=72,(1,6)=87,(0,3)=90,(2,4)=93,(3,5)=93]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Find(5)=5, Find(6)=6, Add (5,6)=0 Succeeded, w=0\",\"Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=4\",\"Find(0)=0, Find(2)=5, Add (0,2)=11 Succeeded, w=15\",\"Find(2)=5, Find(6)=5, Add (2,6)=22 Failed, w=15\",\"Find(0)=5, Find(6)=5, Add (0,6)=30 Failed, w=15\",\"Find(1)=1, Find(2)=5, Add (1,2)=33 Succeeded, w=48\",\"Find(1)=5, Find(4)=3, Add (1,4)=54 Succeeded, w=102\",\"Find(1)=5, Find(5)=5, Add (1,5)=65 Failed, w=102\",\"Find(2)=5, Find(3)=5, Add (2,3)=67 Failed, w=102\",\"Find(3)=5, Find(6)=5, Add (3,6)=69 Failed, w=102\",\"Find(0)=5, Find(5)=5, Add (0,5)=72 Failed, w=102\",\"Find(1)=5, Find(6)=5, Add (1,6)=87 Failed, w=102\",\"Find(0)=5, Find(3)=5, Add (0,3)=90 Failed, w=102\",\"Find(2)=5, Find(4)=5, Add (2,4)=93 Failed, w=102\",\"Find(3)=5, Find(5)=5, Add (3,5)=93 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\":[[0,2,11],[0,3,90],[0,5,72],[0,6,30],[1,2,33],[1,4,54],[1,5,65],[1,6,87],[2,3,67],[2,4,93],[2,5,4],[2,6,22],[3,4,0],[3,5,93],[3,6,69],[5,6,0]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=0,(5,6)=0,(2,5)=4,(0,2)=11,(2,6)=22,(0,6)=30,(1,2)=33,(1,4)=54,(1,5)=65,(2,3)=67,(3,6)=69,(0,5)=72,(1,6)=87,(0,3)=90,(2,4)=93,(3,5)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 3, 4: 3, 5: 5, 6: 5}, Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=4\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 3, 4: 3, 5: 5, 6: 5}, Find(0)=0, Find(2)=5, Add (0,2)=11 Succeeded, w=15\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 3, 4: 3, 5: 5, 6: 5}, Find(2)=5, Find(6)=5, Add (2,6)=22 Failed, w=15\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 3, 4: 3, 5: 5, 6: 5}, Find(0)=5, Find(6)=5, Add (0,6)=30 Failed, w=15\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 3, 5: 5, 6: 5}, Find(1)=1, Find(2)=5, Add (1,2)=33 Succeeded, w=48\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 3, 5: 5, 6: 5}, Find(1)=5, Find(4)=3, Add (1,4)=54 Succeeded, w=102\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 3, 5: 5, 6: 5}, Find(1)=5, Find(5)=5, Add (1,5)=65 Failed, w=102\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 3, 5: 5, 6: 5}, Find(2)=5, Find(3)=5, Add (2,3)=67 Failed, w=102\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 3, 5: 5, 6: 5}, Find(3)=5, Find(6)=5, Add (3,6)=69 Failed, w=102\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 3, 5: 5, 6: 5}, Find(0)=5, Find(5)=5, Add (0,5)=72 Failed, w=102\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 3, 5: 5, 6: 5}, Find(1)=5, Find(6)=5, Add (1,6)=87 Failed, w=102\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 3, 5: 5, 6: 5}, Find(0)=5, Find(3)=5, Add (0,3)=90 Failed, w=102\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(4)=5, Add (2,4)=93 Failed, w=102\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(3)=5, Find(5)=5, Add (3,5)=93 Failed, w=102\"],\"Answer\":102}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[1,3,84],[2,3,51]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,84],[2,3,51]]}", "role": "user" }, { "content": "{\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,84],[2,3,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,84],[2,3,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=51, w=51\",\"Add (1,3)=84, w=135\"],\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,84],[2,3,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=51 Succeeded, w=51\",\"Add (1,3)=84 Succeeded, w=135\"],\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,84],[2,3,51]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=51,(1,3)=84]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=51 Succeeded, w=51\",\"Find(1)=1, Find(3)=2, Add (1,3)=84 Succeeded, w=135\"],\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,84],[2,3,51]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=51,(1,3)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=51 Succeeded, w=51\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=84 Succeeded, w=135\"],\"Answer\":135}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,10],[0,2,23],[0,5,38],[0,6,45],[0,7,34],[1,2,30],[1,3,30],[1,5,17],[2,3,60],[2,5,81],[2,7,97],[3,4,62],[3,6,82],[3,7,49],[4,5,84],[4,6,86],[4,7,46],[5,6,34],[5,7,39]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,23],[0,5,38],[0,6,45],[0,7,34],[1,2,30],[1,3,30],[1,5,17],[2,3,60],[2,5,81],[2,7,97],[3,4,62],[3,6,82],[3,7,49],[4,5,84],[4,6,86],[4,7,46],[5,6,34],[5,7,39]]}", "role": "user" }, { "content": "{\"Answer\":194}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,23],[0,5,38],[0,6,45],[0,7,34],[1,2,30],[1,3,30],[1,5,17],[2,3,60],[2,5,81],[2,7,97],[3,4,62],[3,6,82],[3,7,49],[4,5,84],[4,6,86],[4,7,46],[5,6,34],[5,7,39]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (1,5)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (0,7)\",\"Add (5,6)\",\"Add (4,7)\"],\"Answer\":194}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,23],[0,5,38],[0,6,45],[0,7,34],[1,2,30],[1,3,30],[1,5,17],[2,3,60],[2,5,81],[2,7,97],[3,4,62],[3,6,82],[3,7,49],[4,5,84],[4,6,86],[4,7,46],[5,6,34],[5,7,39]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=10, w=10\",\"Add (1,5)=17, w=27\",\"Add (0,2)=23, w=50\",\"Add (1,3)=30, w=80\",\"Add (0,7)=34, w=114\",\"Add (5,6)=34, w=148\",\"Add (4,7)=46, w=194\"],\"Answer\":194}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,23],[0,5,38],[0,6,45],[0,7,34],[1,2,30],[1,3,30],[1,5,17],[2,3,60],[2,5,81],[2,7,97],[3,4,62],[3,6,82],[3,7,49],[4,5,84],[4,6,86],[4,7,46],[5,6,34],[5,7,39]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=10 Succeeded, w=10\",\"Add (1,5)=17 Succeeded, w=27\",\"Add (0,2)=23 Succeeded, w=50\",\"Add (1,2)=30 Failed, w=50\",\"Add (1,3)=30 Succeeded, w=80\",\"Add (0,7)=34 Succeeded, w=114\",\"Add (5,6)=34 Succeeded, w=148\",\"Add (0,5)=38 Failed, w=148\",\"Add (5,7)=39 Failed, w=148\",\"Add (0,6)=45 Failed, w=148\",\"Add (4,7)=46 Succeeded, w=194\",\"Add (3,7)=49 Failed, w=194\",\"Add (2,3)=60 Failed, w=194\",\"Add (3,4)=62 Failed, w=194\",\"Add (2,5)=81 Failed, w=194\",\"Add (3,6)=82 Failed, w=194\",\"Add (4,5)=84 Failed, w=194\",\"Add (4,6)=86 Failed, w=194\",\"Add (2,7)=97 Failed, w=194\"],\"Answer\":194}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,23],[0,5,38],[0,6,45],[0,7,34],[1,2,30],[1,3,30],[1,5,17],[2,3,60],[2,5,81],[2,7,97],[3,4,62],[3,6,82],[3,7,49],[4,5,84],[4,6,86],[4,7,46],[5,6,34],[5,7,39]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=10,(1,5)=17,(0,2)=23,(1,2)=30,(1,3)=30,(0,7)=34,(5,6)=34,(0,5)=38,(5,7)=39,(0,6)=45,(4,7)=46,(3,7)=49,(2,3)=60,(3,4)=62,(2,5)=81,(3,6)=82,(4,5)=84,(4,6)=86,(2,7)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Find(1)=0, Find(5)=5, Add (1,5)=17 Succeeded, w=27\",\"Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=50\",\"Find(1)=0, Find(2)=0, Add (1,2)=30 Failed, w=50\",\"Find(1)=0, Find(3)=3, Add (1,3)=30 Succeeded, w=80\",\"Find(0)=0, Find(7)=7, Add (0,7)=34 Succeeded, w=114\",\"Find(5)=0, Find(6)=6, Add (5,6)=34 Succeeded, w=148\",\"Find(0)=0, Find(5)=0, Add (0,5)=38 Failed, w=148\",\"Find(5)=0, Find(7)=0, Add (5,7)=39 Failed, w=148\",\"Find(0)=0, Find(6)=0, Add (0,6)=45 Failed, w=148\",\"Find(4)=4, Find(7)=0, Add (4,7)=46 Succeeded, w=194\",\"Find(3)=0, Find(7)=0, Add (3,7)=49 Failed, w=194\",\"Find(2)=0, Find(3)=0, Add (2,3)=60 Failed, w=194\",\"Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=194\",\"Find(2)=0, Find(5)=0, Add (2,5)=81 Failed, w=194\",\"Find(3)=0, Find(6)=0, Add (3,6)=82 Failed, w=194\",\"Find(4)=0, Find(5)=0, Add (4,5)=84 Failed, w=194\",\"Find(4)=0, Find(6)=0, Add (4,6)=86 Failed, w=194\",\"Find(2)=0, Find(7)=0, Add (2,7)=97 Failed, w=194\"],\"Answer\":194}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,23],[0,5,38],[0,6,45],[0,7,34],[1,2,30],[1,3,30],[1,5,17],[2,3,60],[2,5,81],[2,7,97],[3,4,62],[3,6,82],[3,7,49],[4,5,84],[4,6,86],[4,7,46],[5,6,34],[5,7,39]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=10,(1,5)=17,(0,2)=23,(1,2)=30,(1,3)=30,(0,7)=34,(5,6)=34,(0,5)=38,(5,7)=39,(0,6)=45,(4,7)=46,(3,7)=49,(2,3)=60,(3,4)=62,(2,5)=81,(3,6)=82,(4,5)=84,(4,6)=86,(2,7)=97]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(1)=0, Find(5)=5, Add (1,5)=17 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(1)=0, Find(2)=0, Add (1,2)=30 Failed, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6, 7: 7}, Find(1)=0, Find(3)=3, Add (1,3)=30 Succeeded, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=34 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=6, Add (5,6)=34 Succeeded, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=38 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=39 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=45 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=4, Find(7)=0, Add (4,7)=46 Succeeded, w=194\",\"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)=49 Failed, w=194\",\"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)=60 Failed, w=194\",\"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)=62 Failed, w=194\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=81 Failed, w=194\",\"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)=82 Failed, w=194\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=84 Failed, w=194\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=86 Failed, w=194\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=97 Failed, w=194\"],\"Answer\":194}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,7],[0,3,36],[0,5,7],[1,2,26],[1,4,68],[2,5,73],[3,5,21],[4,5,70]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,7],[0,3,36],[0,5,7],[1,2,26],[1,4,68],[2,5,73],[3,5,21],[4,5,70]]}", "role": "user" }, { "content": "{\"Answer\":129}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,7],[0,3,36],[0,5,7],[1,2,26],[1,4,68],[2,5,73],[3,5,21],[4,5,70]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (0,5)\",\"Add (3,5)\",\"Add (1,2)\",\"Add (1,4)\"],\"Answer\":129}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,7],[0,3,36],[0,5,7],[1,2,26],[1,4,68],[2,5,73],[3,5,21],[4,5,70]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=7, w=7\",\"Add (0,5)=7, w=14\",\"Add (3,5)=21, w=35\",\"Add (1,2)=26, w=61\",\"Add (1,4)=68, w=129\"],\"Answer\":129}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,7],[0,3,36],[0,5,7],[1,2,26],[1,4,68],[2,5,73],[3,5,21],[4,5,70]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=7 Succeeded, w=7\",\"Add (0,5)=7 Succeeded, w=14\",\"Add (3,5)=21 Succeeded, w=35\",\"Add (1,2)=26 Succeeded, w=61\",\"Add (0,3)=36 Failed, w=61\",\"Add (1,4)=68 Succeeded, w=129\",\"Add (4,5)=70 Failed, w=129\",\"Add (2,5)=73 Failed, w=129\"],\"Answer\":129}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,7],[0,3,36],[0,5,7],[1,2,26],[1,4,68],[2,5,73],[3,5,21],[4,5,70]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=7,(0,5)=7,(3,5)=21,(1,2)=26,(0,3)=36,(1,4)=68,(4,5)=70,(2,5)=73]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=14\",\"Find(3)=3, Find(5)=0, Add (3,5)=21 Succeeded, w=35\",\"Find(1)=1, Find(2)=0, Add (1,2)=26 Succeeded, w=61\",\"Find(0)=0, Find(3)=0, Add (0,3)=36 Failed, w=61\",\"Find(1)=0, Find(4)=4, Add (1,4)=68 Succeeded, w=129\",\"Find(4)=0, Find(5)=0, Add (4,5)=70 Failed, w=129\",\"Find(2)=0, Find(5)=0, Add (2,5)=73 Failed, w=129\"],\"Answer\":129}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,7],[0,3,36],[0,5,7],[1,2,26],[1,4,68],[2,5,73],[3,5,21],[4,5,70]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=7,(0,5)=7,(3,5)=21,(1,2)=26,(0,3)=36,(1,4)=68,(4,5)=70,(2,5)=73]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=21 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(1)=1, Find(2)=0, Add (1,2)=26 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=36 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=4, Add (1,4)=68 Succeeded, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=70 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=73 Failed, w=129\"],\"Answer\":129}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,87],[0,2,5],[0,3,52],[0,4,90],[0,5,10],[1,2,7],[1,3,23],[1,4,51],[1,5,89],[2,3,24],[2,4,20],[2,5,83],[3,4,18],[4,5,83]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,87],[0,2,5],[0,3,52],[0,4,90],[0,5,10],[1,2,7],[1,3,23],[1,4,51],[1,5,89],[2,3,24],[2,4,20],[2,5,83],[3,4,18],[4,5,83]]}", "role": "user" }, { "content": "{\"Answer\":60}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,87],[0,2,5],[0,3,52],[0,4,90],[0,5,10],[1,2,7],[1,3,23],[1,4,51],[1,5,89],[2,3,24],[2,4,20],[2,5,83],[3,4,18],[4,5,83]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (0,5)\",\"Add (3,4)\",\"Add (2,4)\"],\"Answer\":60}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,87],[0,2,5],[0,3,52],[0,4,90],[0,5,10],[1,2,7],[1,3,23],[1,4,51],[1,5,89],[2,3,24],[2,4,20],[2,5,83],[3,4,18],[4,5,83]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=5, w=5\",\"Add (1,2)=7, w=12\",\"Add (0,5)=10, w=22\",\"Add (3,4)=18, w=40\",\"Add (2,4)=20, w=60\"],\"Answer\":60}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,87],[0,2,5],[0,3,52],[0,4,90],[0,5,10],[1,2,7],[1,3,23],[1,4,51],[1,5,89],[2,3,24],[2,4,20],[2,5,83],[3,4,18],[4,5,83]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=5 Succeeded, w=5\",\"Add (1,2)=7 Succeeded, w=12\",\"Add (0,5)=10 Succeeded, w=22\",\"Add (3,4)=18 Succeeded, w=40\",\"Add (2,4)=20 Succeeded, w=60\",\"Add (1,3)=23 Failed, w=60\",\"Add (2,3)=24 Failed, w=60\",\"Add (1,4)=51 Failed, w=60\",\"Add (0,3)=52 Failed, w=60\",\"Add (2,5)=83 Failed, w=60\",\"Add (4,5)=83 Failed, w=60\",\"Add (0,1)=87 Failed, w=60\",\"Add (1,5)=89 Failed, w=60\",\"Add (0,4)=90 Failed, w=60\"],\"Answer\":60}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,87],[0,2,5],[0,3,52],[0,4,90],[0,5,10],[1,2,7],[1,3,23],[1,4,51],[1,5,89],[2,3,24],[2,4,20],[2,5,83],[3,4,18],[4,5,83]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=5,(1,2)=7,(0,5)=10,(3,4)=18,(2,4)=20,(1,3)=23,(2,3)=24,(1,4)=51,(0,3)=52,(2,5)=83,(4,5)=83,(0,1)=87,(1,5)=89,(0,4)=90]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Find(1)=1, Find(2)=0, Add (1,2)=7 Succeeded, w=12\",\"Find(0)=0, Find(5)=5, Add (0,5)=10 Succeeded, w=22\",\"Find(3)=3, Find(4)=4, Add (3,4)=18 Succeeded, w=40\",\"Find(2)=0, Find(4)=3, Add (2,4)=20 Succeeded, w=60\",\"Find(1)=0, Find(3)=0, Add (1,3)=23 Failed, w=60\",\"Find(2)=0, Find(3)=0, Add (2,3)=24 Failed, w=60\",\"Find(1)=0, Find(4)=0, Add (1,4)=51 Failed, w=60\",\"Find(0)=0, Find(3)=0, Add (0,3)=52 Failed, w=60\",\"Find(2)=0, Find(5)=0, Add (2,5)=83 Failed, w=60\",\"Find(4)=0, Find(5)=0, Add (4,5)=83 Failed, w=60\",\"Find(0)=0, Find(1)=0, Add (0,1)=87 Failed, w=60\",\"Find(1)=0, Find(5)=0, Add (1,5)=89 Failed, w=60\",\"Find(0)=0, Find(4)=0, Add (0,4)=90 Failed, w=60\"],\"Answer\":60}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,87],[0,2,5],[0,3,52],[0,4,90],[0,5,10],[1,2,7],[1,3,23],[1,4,51],[1,5,89],[2,3,24],[2,4,20],[2,5,83],[3,4,18],[4,5,83]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=5,(1,2)=7,(0,5)=10,(3,4)=18,(2,4)=20,(1,3)=23,(2,3)=24,(1,4)=51,(0,3)=52,(2,5)=83,(4,5)=83,(0,1)=87,(1,5)=89,(0,4)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=0, Add (1,2)=7 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=10 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 0}, Find(3)=3, Find(4)=4, Add (3,4)=18 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(2)=0, Find(4)=3, Add (2,4)=20 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=23 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=24 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=51 Failed, w=60\",\"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=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=83 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=83 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=87 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=89 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=90 Failed, w=60\"],\"Answer\":60}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,83],[0,2,22],[0,3,87],[0,4,87],[0,5,51],[0,6,57],[0,7,91],[1,2,88],[1,3,41],[1,4,51],[1,5,6],[1,6,86],[1,7,17],[2,3,62],[2,4,60],[2,5,27],[2,6,40],[2,7,38],[3,4,82],[3,5,97],[3,6,75],[3,7,39],[4,5,28],[4,6,75],[4,7,65],[5,6,70],[5,7,21],[6,7,38]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,22],[0,3,87],[0,4,87],[0,5,51],[0,6,57],[0,7,91],[1,2,88],[1,3,41],[1,4,51],[1,5,6],[1,6,86],[1,7,17],[2,3,62],[2,4,60],[2,5,27],[2,6,40],[2,7,38],[3,4,82],[3,5,97],[3,6,75],[3,7,39],[4,5,28],[4,6,75],[4,7,65],[5,6,70],[5,7,21],[6,7,38]]}", "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\":[[0,1,83],[0,2,22],[0,3,87],[0,4,87],[0,5,51],[0,6,57],[0,7,91],[1,2,88],[1,3,41],[1,4,51],[1,5,6],[1,6,86],[1,7,17],[2,3,62],[2,4,60],[2,5,27],[2,6,40],[2,7,38],[3,4,82],[3,5,97],[3,6,75],[3,7,39],[4,5,28],[4,6,75],[4,7,65],[5,6,70],[5,7,21],[6,7,38]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)\",\"Add (1,7)\",\"Add (0,2)\",\"Add (2,5)\",\"Add (4,5)\",\"Add (6,7)\",\"Add (3,7)\"],\"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\":[[0,1,83],[0,2,22],[0,3,87],[0,4,87],[0,5,51],[0,6,57],[0,7,91],[1,2,88],[1,3,41],[1,4,51],[1,5,6],[1,6,86],[1,7,17],[2,3,62],[2,4,60],[2,5,27],[2,6,40],[2,7,38],[3,4,82],[3,5,97],[3,6,75],[3,7,39],[4,5,28],[4,6,75],[4,7,65],[5,6,70],[5,7,21],[6,7,38]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)=6, w=6\",\"Add (1,7)=17, w=23\",\"Add (0,2)=22, w=45\",\"Add (2,5)=27, w=72\",\"Add (4,5)=28, w=100\",\"Add (6,7)=38, w=138\",\"Add (3,7)=39, 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\":[[0,1,83],[0,2,22],[0,3,87],[0,4,87],[0,5,51],[0,6,57],[0,7,91],[1,2,88],[1,3,41],[1,4,51],[1,5,6],[1,6,86],[1,7,17],[2,3,62],[2,4,60],[2,5,27],[2,6,40],[2,7,38],[3,4,82],[3,5,97],[3,6,75],[3,7,39],[4,5,28],[4,6,75],[4,7,65],[5,6,70],[5,7,21],[6,7,38]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)=6 Succeeded, w=6\",\"Add (1,7)=17 Succeeded, w=23\",\"Add (5,7)=21 Failed, w=23\",\"Add (0,2)=22 Succeeded, w=45\",\"Add (2,5)=27 Succeeded, w=72\",\"Add (4,5)=28 Succeeded, w=100\",\"Add (2,7)=38 Failed, w=100\",\"Add (6,7)=38 Succeeded, w=138\",\"Add (3,7)=39 Succeeded, w=177\",\"Add (2,6)=40 Failed, w=177\",\"Add (1,3)=41 Failed, w=177\",\"Add (0,5)=51 Failed, w=177\",\"Add (1,4)=51 Failed, w=177\",\"Add (0,6)=57 Failed, w=177\",\"Add (2,4)=60 Failed, w=177\",\"Add (2,3)=62 Failed, w=177\",\"Add (4,7)=65 Failed, w=177\",\"Add (5,6)=70 Failed, w=177\",\"Add (3,6)=75 Failed, w=177\",\"Add (4,6)=75 Failed, w=177\",\"Add (3,4)=82 Failed, w=177\",\"Add (0,1)=83 Failed, w=177\",\"Add (1,6)=86 Failed, w=177\",\"Add (0,3)=87 Failed, w=177\",\"Add (0,4)=87 Failed, w=177\",\"Add (1,2)=88 Failed, w=177\",\"Add (0,7)=91 Failed, w=177\",\"Add (3,5)=97 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\":[[0,1,83],[0,2,22],[0,3,87],[0,4,87],[0,5,51],[0,6,57],[0,7,91],[1,2,88],[1,3,41],[1,4,51],[1,5,6],[1,6,86],[1,7,17],[2,3,62],[2,4,60],[2,5,27],[2,6,40],[2,7,38],[3,4,82],[3,5,97],[3,6,75],[3,7,39],[4,5,28],[4,6,75],[4,7,65],[5,6,70],[5,7,21],[6,7,38]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,5)=6,(1,7)=17,(5,7)=21,(0,2)=22,(2,5)=27,(4,5)=28,(2,7)=38,(6,7)=38,(3,7)=39,(2,6)=40,(1,3)=41,(0,5)=51,(1,4)=51,(0,6)=57,(2,4)=60,(2,3)=62,(4,7)=65,(5,6)=70,(3,6)=75,(4,6)=75,(3,4)=82,(0,1)=83,(1,6)=86,(0,3)=87,(0,4)=87,(1,2)=88,(0,7)=91,(3,5)=97]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=6 Succeeded, w=6\",\"Find(1)=1, Find(7)=7, Add (1,7)=17 Succeeded, w=23\",\"Find(5)=1, Find(7)=1, Add (5,7)=21 Failed, w=23\",\"Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=45\",\"Find(2)=0, Find(5)=1, Add (2,5)=27 Succeeded, w=72\",\"Find(4)=4, Find(5)=0, Add (4,5)=28 Succeeded, w=100\",\"Find(2)=0, Find(7)=0, Add (2,7)=38 Failed, w=100\",\"Find(6)=6, Find(7)=0, Add (6,7)=38 Succeeded, w=138\",\"Find(3)=3, Find(7)=0, Add (3,7)=39 Succeeded, w=177\",\"Find(2)=0, Find(6)=0, Add (2,6)=40 Failed, w=177\",\"Find(1)=0, Find(3)=0, Add (1,3)=41 Failed, w=177\",\"Find(0)=0, Find(5)=0, Add (0,5)=51 Failed, w=177\",\"Find(1)=0, Find(4)=0, Add (1,4)=51 Failed, w=177\",\"Find(0)=0, Find(6)=0, Add (0,6)=57 Failed, w=177\",\"Find(2)=0, Find(4)=0, Add (2,4)=60 Failed, w=177\",\"Find(2)=0, Find(3)=0, Add (2,3)=62 Failed, w=177\",\"Find(4)=0, Find(7)=0, Add (4,7)=65 Failed, w=177\",\"Find(5)=0, Find(6)=0, Add (5,6)=70 Failed, w=177\",\"Find(3)=0, Find(6)=0, Add (3,6)=75 Failed, w=177\",\"Find(4)=0, Find(6)=0, Add (4,6)=75 Failed, w=177\",\"Find(3)=0, Find(4)=0, Add (3,4)=82 Failed, w=177\",\"Find(0)=0, Find(1)=0, Add (0,1)=83 Failed, w=177\",\"Find(1)=0, Find(6)=0, Add (1,6)=86 Failed, w=177\",\"Find(0)=0, Find(3)=0, Add (0,3)=87 Failed, w=177\",\"Find(0)=0, Find(4)=0, Add (0,4)=87 Failed, w=177\",\"Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=177\",\"Find(0)=0, Find(7)=0, Add (0,7)=91 Failed, w=177\",\"Find(3)=0, Find(5)=0, Add (3,5)=97 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\":[[0,1,83],[0,2,22],[0,3,87],[0,4,87],[0,5,51],[0,6,57],[0,7,91],[1,2,88],[1,3,41],[1,4,51],[1,5,6],[1,6,86],[1,7,17],[2,3,62],[2,4,60],[2,5,27],[2,6,40],[2,7,38],[3,4,82],[3,5,97],[3,6,75],[3,7,39],[4,5,28],[4,6,75],[4,7,65],[5,6,70],[5,7,21],[6,7,38]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,5)=6,(1,7)=17,(5,7)=21,(0,2)=22,(2,5)=27,(4,5)=28,(2,7)=38,(6,7)=38,(3,7)=39,(2,6)=40,(1,3)=41,(0,5)=51,(1,4)=51,(0,6)=57,(2,4)=60,(2,3)=62,(4,7)=65,(5,6)=70,(3,6)=75,(4,6)=75,(3,4)=82,(0,1)=83,(1,6)=86,(0,3)=87,(0,4)=87,(1,2)=88,(0,7)=91,(3,5)=97]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=17 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=21 Failed, w=23\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 1, 6: 6, 7: 1}, Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 1, 6: 6, 7: 1}, Find(2)=0, Find(5)=1, Add (2,5)=27 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6, 7: 1}, Find(4)=4, Find(5)=0, Add (4,5)=28 Succeeded, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=38 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=6, Find(7)=0, Add (6,7)=38 Succeeded, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=3, Find(7)=0, Add (3,7)=39 Succeeded, w=177\",\"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)=40 Failed, w=177\",\"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)=41 Failed, w=177\",\"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)=51 Failed, w=177\",\"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)=51 Failed, w=177\",\"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)=57 Failed, w=177\",\"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)=60 Failed, w=177\",\"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)=62 Failed, w=177\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=65 Failed, w=177\",\"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)=70 Failed, w=177\",\"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)=75 Failed, w=177\",\"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)=75 Failed, w=177\",\"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)=82 Failed, w=177\",\"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)=83 Failed, w=177\",\"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)=86 Failed, w=177\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=87 Failed, w=177\",\"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)=87 Failed, w=177\",\"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=177\",\"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)=91 Failed, w=177\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=97 Failed, w=177\"],\"Answer\":177}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,95],[0,2,9],[0,6,28],[0,7,60],[1,3,28],[1,4,8],[2,3,83],[2,5,34],[2,7,86],[3,5,21],[3,6,15],[4,5,28]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,9],[0,6,28],[0,7,60],[1,3,28],[1,4,8],[2,3,83],[2,5,34],[2,7,86],[3,5,21],[3,6,15],[4,5,28]]}", "role": "user" }, { "content": "{\"Answer\":169}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,9],[0,6,28],[0,7,60],[1,3,28],[1,4,8],[2,3,83],[2,5,34],[2,7,86],[3,5,21],[3,6,15],[4,5,28]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)\",\"Add (0,2)\",\"Add (3,6)\",\"Add (3,5)\",\"Add (0,6)\",\"Add (1,3)\",\"Add (0,7)\"],\"Answer\":169}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,9],[0,6,28],[0,7,60],[1,3,28],[1,4,8],[2,3,83],[2,5,34],[2,7,86],[3,5,21],[3,6,15],[4,5,28]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=8, w=8\",\"Add (0,2)=9, w=17\",\"Add (3,6)=15, w=32\",\"Add (3,5)=21, w=53\",\"Add (0,6)=28, w=81\",\"Add (1,3)=28, w=109\",\"Add (0,7)=60, w=169\"],\"Answer\":169}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,9],[0,6,28],[0,7,60],[1,3,28],[1,4,8],[2,3,83],[2,5,34],[2,7,86],[3,5,21],[3,6,15],[4,5,28]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=8 Succeeded, w=8\",\"Add (0,2)=9 Succeeded, w=17\",\"Add (3,6)=15 Succeeded, w=32\",\"Add (3,5)=21 Succeeded, w=53\",\"Add (0,6)=28 Succeeded, w=81\",\"Add (1,3)=28 Succeeded, w=109\",\"Add (4,5)=28 Failed, w=109\",\"Add (2,5)=34 Failed, w=109\",\"Add (0,7)=60 Succeeded, w=169\",\"Add (2,3)=83 Failed, w=169\",\"Add (2,7)=86 Failed, w=169\",\"Add (0,1)=95 Failed, w=169\"],\"Answer\":169}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,9],[0,6,28],[0,7,60],[1,3,28],[1,4,8],[2,3,83],[2,5,34],[2,7,86],[3,5,21],[3,6,15],[4,5,28]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=8,(0,2)=9,(3,6)=15,(3,5)=21,(0,6)=28,(1,3)=28,(4,5)=28,(2,5)=34,(0,7)=60,(2,3)=83,(2,7)=86,(0,1)=95]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=8\",\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=17\",\"Find(3)=3, Find(6)=6, Add (3,6)=15 Succeeded, w=32\",\"Find(3)=3, Find(5)=5, Add (3,5)=21 Succeeded, w=53\",\"Find(0)=0, Find(6)=3, Add (0,6)=28 Succeeded, w=81\",\"Find(1)=1, Find(3)=0, Add (1,3)=28 Succeeded, w=109\",\"Find(4)=0, Find(5)=0, Add (4,5)=28 Failed, w=109\",\"Find(2)=0, Find(5)=0, Add (2,5)=34 Failed, w=109\",\"Find(0)=0, Find(7)=7, Add (0,7)=60 Succeeded, w=169\",\"Find(2)=0, Find(3)=0, Add (2,3)=83 Failed, w=169\",\"Find(2)=0, Find(7)=0, Add (2,7)=86 Failed, w=169\",\"Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=169\"],\"Answer\":169}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,9],[0,6,28],[0,7,60],[1,3,28],[1,4,8],[2,3,83],[2,5,34],[2,7,86],[3,5,21],[3,6,15],[4,5,28]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=8,(0,2)=9,(3,6)=15,(3,5)=21,(0,6)=28,(1,3)=28,(4,5)=28,(2,5)=34,(0,7)=60,(2,3)=83,(2,7)=86,(0,1)=95]\",\"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)=8 Succeeded, w=8\",\"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)=9 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=15 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 3, 6: 3, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=21 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 3, 6: 3, 7: 7}, Find(0)=0, Find(6)=3, Add (0,6)=28 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 3, 6: 3, 7: 7}, Find(1)=1, Find(3)=0, Add (1,3)=28 Succeeded, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 7}, Find(4)=0, Find(5)=0, Add (4,5)=28 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 7}, Find(2)=0, Find(5)=0, Add (2,5)=34 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=60 Succeeded, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=83 Failed, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=86 Failed, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=169\"],\"Answer\":169}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,62],[0,2,64],[1,4,57],[1,5,68],[2,3,25],[2,4,20],[2,5,44],[3,4,41]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,2,64],[1,4,57],[1,5,68],[2,3,25],[2,4,20],[2,5,44],[3,4,41]]}", "role": "user" }, { "content": "{\"Answer\":208}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,2,64],[1,4,57],[1,5,68],[2,3,25],[2,4,20],[2,5,44],[3,4,41]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)\",\"Add (2,3)\",\"Add (2,5)\",\"Add (1,4)\",\"Add (0,1)\"],\"Answer\":208}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,2,64],[1,4,57],[1,5,68],[2,3,25],[2,4,20],[2,5,44],[3,4,41]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=20, w=20\",\"Add (2,3)=25, w=45\",\"Add (2,5)=44, w=89\",\"Add (1,4)=57, w=146\",\"Add (0,1)=62, w=208\"],\"Answer\":208}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,2,64],[1,4,57],[1,5,68],[2,3,25],[2,4,20],[2,5,44],[3,4,41]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=20 Succeeded, w=20\",\"Add (2,3)=25 Succeeded, w=45\",\"Add (3,4)=41 Failed, w=45\",\"Add (2,5)=44 Succeeded, w=89\",\"Add (1,4)=57 Succeeded, w=146\",\"Add (0,1)=62 Succeeded, w=208\",\"Add (0,2)=64 Failed, w=208\",\"Add (1,5)=68 Failed, w=208\"],\"Answer\":208}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,2,64],[1,4,57],[1,5,68],[2,3,25],[2,4,20],[2,5,44],[3,4,41]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=20,(2,3)=25,(3,4)=41,(2,5)=44,(1,4)=57,(0,1)=62,(0,2)=64,(1,5)=68]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=20 Succeeded, w=20\",\"Find(2)=2, Find(3)=3, Add (2,3)=25 Succeeded, w=45\",\"Find(3)=2, Find(4)=2, Add (3,4)=41 Failed, w=45\",\"Find(2)=2, Find(5)=5, Add (2,5)=44 Succeeded, w=89\",\"Find(1)=1, Find(4)=2, Add (1,4)=57 Succeeded, w=146\",\"Find(0)=0, Find(1)=2, Add (0,1)=62 Succeeded, w=208\",\"Find(0)=2, Find(2)=2, Add (0,2)=64 Failed, w=208\",\"Find(1)=2, Find(5)=2, Add (1,5)=68 Failed, w=208\"],\"Answer\":208}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,2,64],[1,4,57],[1,5,68],[2,3,25],[2,4,20],[2,5,44],[3,4,41]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=20,(2,3)=25,(3,4)=41,(2,5)=44,(1,4)=57,(0,1)=62,(0,2)=64,(1,5)=68]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=25 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5}, Find(3)=2, Find(4)=2, Add (3,4)=41 Failed, w=45\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=44 Succeeded, w=89\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(4)=2, Add (1,4)=57 Succeeded, w=146\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(1)=2, Add (0,1)=62 Succeeded, w=208\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=64 Failed, w=208\",\"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=208\"],\"Answer\":208}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,100],[0,2,44],[1,2,45],[1,5,90],[2,4,29],[2,5,100],[3,4,75],[3,5,7]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,44],[1,2,45],[1,5,90],[2,4,29],[2,5,100],[3,4,75],[3,5,7]]}", "role": "user" }, { "content": "{\"Answer\":200}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,44],[1,2,45],[1,5,90],[2,4,29],[2,5,100],[3,4,75],[3,5,7]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (3,4)\"],\"Answer\":200}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,44],[1,2,45],[1,5,90],[2,4,29],[2,5,100],[3,4,75],[3,5,7]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=7, w=7\",\"Add (2,4)=29, w=36\",\"Add (0,2)=44, w=80\",\"Add (1,2)=45, w=125\",\"Add (3,4)=75, w=200\"],\"Answer\":200}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,44],[1,2,45],[1,5,90],[2,4,29],[2,5,100],[3,4,75],[3,5,7]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=7 Succeeded, w=7\",\"Add (2,4)=29 Succeeded, w=36\",\"Add (0,2)=44 Succeeded, w=80\",\"Add (1,2)=45 Succeeded, w=125\",\"Add (3,4)=75 Succeeded, w=200\",\"Add (1,5)=90 Failed, w=200\",\"Add (0,1)=100 Failed, w=200\",\"Add (2,5)=100 Failed, w=200\"],\"Answer\":200}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,44],[1,2,45],[1,5,90],[2,4,29],[2,5,100],[3,4,75],[3,5,7]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=7,(2,4)=29,(0,2)=44,(1,2)=45,(3,4)=75,(1,5)=90,(0,1)=100,(2,5)=100]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=7 Succeeded, w=7\",\"Find(2)=2, Find(4)=4, Add (2,4)=29 Succeeded, w=36\",\"Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=80\",\"Find(1)=1, Find(2)=2, Add (1,2)=45 Succeeded, w=125\",\"Find(3)=3, Find(4)=2, Add (3,4)=75 Succeeded, w=200\",\"Find(1)=3, Find(5)=3, Add (1,5)=90 Failed, w=200\",\"Find(0)=3, Find(1)=3, Add (0,1)=100 Failed, w=200\",\"Find(2)=3, Find(5)=3, Add (2,5)=100 Failed, w=200\"],\"Answer\":200}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,44],[1,2,45],[1,5,90],[2,4,29],[2,5,100],[3,4,75],[3,5,7]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=7,(2,4)=29,(0,2)=44,(1,2)=45,(3,4)=75,(1,5)=90,(0,1)=100,(2,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3}, Find(2)=2, Find(4)=4, Add (2,4)=29 Succeeded, w=36\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3}, Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 3}, Find(1)=1, Find(2)=2, Add (1,2)=45 Succeeded, w=125\",\"Parent: {0: 2, 1: 2, 2: 3, 3: 3, 4: 2, 5: 3}, Find(3)=3, Find(4)=2, Add (3,4)=75 Succeeded, w=200\",\"Parent: {0: 2, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=90 Failed, w=200\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3}, Find(0)=3, Find(1)=3, Add (0,1)=100 Failed, w=200\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=100 Failed, w=200\"],\"Answer\":200}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,11],[0,2,44],[0,4,64],[1,2,79],[1,3,67],[1,4,14]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,44],[0,4,64],[1,2,79],[1,3,67],[1,4,14]]}", "role": "user" }, { "content": "{\"Answer\":136}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,44],[0,4,64],[1,2,79],[1,3,67],[1,4,14]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":136}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,44],[0,4,64],[1,2,79],[1,3,67],[1,4,14]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=11, w=11\",\"Add (1,4)=14, w=25\",\"Add (0,2)=44, w=69\",\"Add (1,3)=67, w=136\"],\"Answer\":136}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,44],[0,4,64],[1,2,79],[1,3,67],[1,4,14]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=11 Succeeded, w=11\",\"Add (1,4)=14 Succeeded, w=25\",\"Add (0,2)=44 Succeeded, w=69\",\"Add (0,4)=64 Failed, w=69\",\"Add (1,3)=67 Succeeded, w=136\",\"Add (1,2)=79 Failed, w=136\"],\"Answer\":136}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,44],[0,4,64],[1,2,79],[1,3,67],[1,4,14]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=11,(1,4)=14,(0,2)=44,(0,4)=64,(1,3)=67,(1,2)=79]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=11\",\"Find(1)=0, Find(4)=4, Add (1,4)=14 Succeeded, w=25\",\"Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=69\",\"Find(0)=0, Find(4)=0, Add (0,4)=64 Failed, w=69\",\"Find(1)=0, Find(3)=3, Add (1,3)=67 Succeeded, w=136\",\"Find(1)=0, Find(2)=0, Add (1,2)=79 Failed, w=136\"],\"Answer\":136}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,44],[0,4,64],[1,2,79],[1,3,67],[1,4,14]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=11,(1,4)=14,(0,2)=44,(0,4)=64,(1,3)=67,(1,2)=79]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=14 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=64 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=3, Add (1,3)=67 Succeeded, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=79 Failed, w=136\"],\"Answer\":136}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,75],[0,2,63],[1,2,65],[1,3,85],[1,4,77]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,75],[0,2,63],[1,2,65],[1,3,85],[1,4,77]]}", "role": "user" }, { "content": "{\"Answer\":290}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,75],[0,2,63],[1,2,65],[1,3,85],[1,4,77]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (1,4)\",\"Add (1,3)\"],\"Answer\":290}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,75],[0,2,63],[1,2,65],[1,3,85],[1,4,77]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=63, w=63\",\"Add (1,2)=65, w=128\",\"Add (1,4)=77, w=205\",\"Add (1,3)=85, w=290\"],\"Answer\":290}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,75],[0,2,63],[1,2,65],[1,3,85],[1,4,77]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=63 Succeeded, w=63\",\"Add (1,2)=65 Succeeded, w=128\",\"Add (0,1)=75 Failed, w=128\",\"Add (1,4)=77 Succeeded, w=205\",\"Add (1,3)=85 Succeeded, w=290\"],\"Answer\":290}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,75],[0,2,63],[1,2,65],[1,3,85],[1,4,77]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=63,(1,2)=65,(0,1)=75,(1,4)=77,(1,3)=85]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=63 Succeeded, w=63\",\"Find(1)=1, Find(2)=0, Add (1,2)=65 Succeeded, w=128\",\"Find(0)=0, Find(1)=0, Add (0,1)=75 Failed, w=128\",\"Find(1)=0, Find(4)=4, Add (1,4)=77 Succeeded, w=205\",\"Find(1)=0, Find(3)=3, Add (1,3)=85 Succeeded, w=290\"],\"Answer\":290}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,75],[0,2,63],[1,2,65],[1,3,85],[1,4,77]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=63,(1,2)=65,(0,1)=75,(1,4)=77,(1,3)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=63 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(1)=1, Find(2)=0, Add (1,2)=65 Succeeded, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(1)=0, Add (0,1)=75 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=77 Succeeded, w=205\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=3, Add (1,3)=85 Succeeded, w=290\"],\"Answer\":290}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,92],[0,3,53],[0,4,17],[1,2,38],[1,4,67],[2,3,23],[2,4,34],[3,4,75]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,92],[0,3,53],[0,4,17],[1,2,38],[1,4,67],[2,3,23],[2,4,34],[3,4,75]]}", "role": "user" }, { "content": "{\"Answer\":112}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,92],[0,3,53],[0,4,17],[1,2,38],[1,4,67],[2,3,23],[2,4,34],[3,4,75]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)\",\"Add (2,3)\",\"Add (2,4)\",\"Add (1,2)\"],\"Answer\":112}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,92],[0,3,53],[0,4,17],[1,2,38],[1,4,67],[2,3,23],[2,4,34],[3,4,75]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)=17, w=17\",\"Add (2,3)=23, w=40\",\"Add (2,4)=34, w=74\",\"Add (1,2)=38, w=112\"],\"Answer\":112}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,92],[0,3,53],[0,4,17],[1,2,38],[1,4,67],[2,3,23],[2,4,34],[3,4,75]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)=17 Succeeded, w=17\",\"Add (2,3)=23 Succeeded, w=40\",\"Add (2,4)=34 Succeeded, w=74\",\"Add (1,2)=38 Succeeded, w=112\",\"Add (0,3)=53 Failed, w=112\",\"Add (1,4)=67 Failed, w=112\",\"Add (3,4)=75 Failed, w=112\",\"Add (0,2)=92 Failed, w=112\"],\"Answer\":112}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,92],[0,3,53],[0,4,17],[1,2,38],[1,4,67],[2,3,23],[2,4,34],[3,4,75]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,4)=17,(2,3)=23,(2,4)=34,(1,2)=38,(0,3)=53,(1,4)=67,(3,4)=75,(0,2)=92]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=17 Succeeded, w=17\",\"Find(2)=2, Find(3)=3, Add (2,3)=23 Succeeded, w=40\",\"Find(2)=2, Find(4)=0, Add (2,4)=34 Succeeded, w=74\",\"Find(1)=1, Find(2)=2, Add (1,2)=38 Succeeded, w=112\",\"Find(0)=2, Find(3)=2, Add (0,3)=53 Failed, w=112\",\"Find(1)=2, Find(4)=2, Add (1,4)=67 Failed, w=112\",\"Find(3)=2, Find(4)=2, Add (3,4)=75 Failed, w=112\",\"Find(0)=2, Find(2)=2, Add (0,2)=92 Failed, w=112\"],\"Answer\":112}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,92],[0,3,53],[0,4,17],[1,2,38],[1,4,67],[2,3,23],[2,4,34],[3,4,75]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,4)=17,(2,3)=23,(2,4)=34,(1,2)=38,(0,3)=53,(1,4)=67,(3,4)=75,(0,2)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0}, Find(2)=2, Find(3)=3, Add (2,3)=23 Succeeded, w=40\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=34 Succeeded, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0}, Find(1)=1, Find(2)=2, Add (1,2)=38 Succeeded, w=112\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0}, Find(0)=2, Find(3)=2, Add (0,3)=53 Failed, w=112\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=67 Failed, w=112\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=75 Failed, w=112\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=92 Failed, w=112\"],\"Answer\":112}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,93],[0,3,83],[0,6,37],[0,7,95],[1,2,9],[1,3,84],[1,5,65],[1,6,57],[1,7,8],[2,4,5],[2,5,22],[2,6,45],[2,7,63],[3,4,52],[3,5,66],[3,6,35],[3,7,46],[5,6,84],[5,7,8],[6,7,64]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,93],[0,3,83],[0,6,37],[0,7,95],[1,2,9],[1,3,84],[1,5,65],[1,6,57],[1,7,8],[2,4,5],[2,5,22],[2,6,45],[2,7,63],[3,4,52],[3,5,66],[3,6,35],[3,7,46],[5,6,84],[5,7,8],[6,7,64]]}", "role": "user" }, { "content": "{\"Answer\":147}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,93],[0,3,83],[0,6,37],[0,7,95],[1,2,9],[1,3,84],[1,5,65],[1,6,57],[1,7,8],[2,4,5],[2,5,22],[2,6,45],[2,7,63],[3,4,52],[3,5,66],[3,6,35],[3,7,46],[5,6,84],[5,7,8],[6,7,64]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)\",\"Add (1,7)\",\"Add (5,7)\",\"Add (1,2)\",\"Add (3,6)\",\"Add (0,6)\",\"Add (2,6)\"],\"Answer\":147}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,93],[0,3,83],[0,6,37],[0,7,95],[1,2,9],[1,3,84],[1,5,65],[1,6,57],[1,7,8],[2,4,5],[2,5,22],[2,6,45],[2,7,63],[3,4,52],[3,5,66],[3,6,35],[3,7,46],[5,6,84],[5,7,8],[6,7,64]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=5, w=5\",\"Add (1,7)=8, w=13\",\"Add (5,7)=8, w=21\",\"Add (1,2)=9, w=30\",\"Add (3,6)=35, w=65\",\"Add (0,6)=37, w=102\",\"Add (2,6)=45, w=147\"],\"Answer\":147}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,93],[0,3,83],[0,6,37],[0,7,95],[1,2,9],[1,3,84],[1,5,65],[1,6,57],[1,7,8],[2,4,5],[2,5,22],[2,6,45],[2,7,63],[3,4,52],[3,5,66],[3,6,35],[3,7,46],[5,6,84],[5,7,8],[6,7,64]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=5 Succeeded, w=5\",\"Add (1,7)=8 Succeeded, w=13\",\"Add (5,7)=8 Succeeded, w=21\",\"Add (1,2)=9 Succeeded, w=30\",\"Add (2,5)=22 Failed, w=30\",\"Add (3,6)=35 Succeeded, w=65\",\"Add (0,6)=37 Succeeded, w=102\",\"Add (2,6)=45 Succeeded, w=147\",\"Add (3,7)=46 Failed, w=147\",\"Add (3,4)=52 Failed, w=147\",\"Add (1,6)=57 Failed, w=147\",\"Add (2,7)=63 Failed, w=147\",\"Add (6,7)=64 Failed, w=147\",\"Add (1,5)=65 Failed, w=147\",\"Add (3,5)=66 Failed, w=147\",\"Add (0,3)=83 Failed, w=147\",\"Add (1,3)=84 Failed, w=147\",\"Add (5,6)=84 Failed, w=147\",\"Add (0,2)=93 Failed, w=147\",\"Add (0,7)=95 Failed, w=147\"],\"Answer\":147}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,93],[0,3,83],[0,6,37],[0,7,95],[1,2,9],[1,3,84],[1,5,65],[1,6,57],[1,7,8],[2,4,5],[2,5,22],[2,6,45],[2,7,63],[3,4,52],[3,5,66],[3,6,35],[3,7,46],[5,6,84],[5,7,8],[6,7,64]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=5,(1,7)=8,(5,7)=8,(1,2)=9,(2,5)=22,(3,6)=35,(0,6)=37,(2,6)=45,(3,7)=46,(3,4)=52,(1,6)=57,(2,7)=63,(6,7)=64,(1,5)=65,(3,5)=66,(0,3)=83,(1,3)=84,(5,6)=84,(0,2)=93,(0,7)=95]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=5\",\"Find(1)=1, Find(7)=7, Add (1,7)=8 Succeeded, w=13\",\"Find(5)=5, Find(7)=1, Add (5,7)=8 Succeeded, w=21\",\"Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=30\",\"Find(2)=1, Find(5)=1, Add (2,5)=22 Failed, w=30\",\"Find(3)=3, Find(6)=6, Add (3,6)=35 Succeeded, w=65\",\"Find(0)=0, Find(6)=3, Add (0,6)=37 Succeeded, w=102\",\"Find(2)=1, Find(6)=3, Add (2,6)=45 Succeeded, w=147\",\"Find(3)=1, Find(7)=1, Add (3,7)=46 Failed, w=147\",\"Find(3)=1, Find(4)=1, Add (3,4)=52 Failed, w=147\",\"Find(1)=1, Find(6)=1, Add (1,6)=57 Failed, w=147\",\"Find(2)=1, Find(7)=1, Add (2,7)=63 Failed, w=147\",\"Find(6)=1, Find(7)=1, Add (6,7)=64 Failed, w=147\",\"Find(1)=1, Find(5)=1, Add (1,5)=65 Failed, w=147\",\"Find(3)=1, Find(5)=1, Add (3,5)=66 Failed, w=147\",\"Find(0)=1, Find(3)=1, Add (0,3)=83 Failed, w=147\",\"Find(1)=1, Find(3)=1, Add (1,3)=84 Failed, w=147\",\"Find(5)=1, Find(6)=1, Add (5,6)=84 Failed, w=147\",\"Find(0)=1, Find(2)=1, Add (0,2)=93 Failed, w=147\",\"Find(0)=1, Find(7)=1, Add (0,7)=95 Failed, w=147\"],\"Answer\":147}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,93],[0,3,83],[0,6,37],[0,7,95],[1,2,9],[1,3,84],[1,5,65],[1,6,57],[1,7,8],[2,4,5],[2,5,22],[2,6,45],[2,7,63],[3,4,52],[3,5,66],[3,6,35],[3,7,46],[5,6,84],[5,7,8],[6,7,64]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=5,(1,7)=8,(5,7)=8,(1,2)=9,(2,5)=22,(3,6)=35,(0,6)=37,(2,6)=45,(3,7)=46,(3,4)=52,(1,6)=57,(2,7)=63,(6,7)=64,(1,5)=65,(3,5)=66,(0,3)=83,(1,3)=84,(5,6)=84,(0,2)=93,(0,7)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=8 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 6, 7: 1}, Find(5)=5, Find(7)=1, Add (5,7)=8 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 2, 5: 1, 6: 6, 7: 1}, Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 2, 5: 1, 6: 6, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=22 Failed, w=30\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 2, 5: 1, 6: 3, 7: 1}, Find(3)=3, Find(6)=6, Add (3,6)=35 Succeeded, w=65\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 2, 5: 1, 6: 3, 7: 1}, Find(0)=0, Find(6)=3, Add (0,6)=37 Succeeded, w=102\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 3, 7: 1}, Find(2)=1, Find(6)=3, Add (2,6)=45 Succeeded, w=147\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 3, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=46 Failed, w=147\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=52 Failed, w=147\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=57 Failed, w=147\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=63 Failed, w=147\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=64 Failed, w=147\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=65 Failed, w=147\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=66 Failed, w=147\",\"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)=83 Failed, w=147\",\"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)=84 Failed, w=147\",\"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)=84 Failed, w=147\",\"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)=93 Failed, w=147\",\"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)=95 Failed, w=147\"],\"Answer\":147}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,24],[0,2,7],[0,4,26],[1,5,63],[1,6,13],[2,3,67],[2,4,4],[2,6,73],[3,5,8],[3,6,38],[4,5,21],[4,6,5],[5,6,53]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,24],[0,2,7],[0,4,26],[1,5,63],[1,6,13],[2,3,67],[2,4,4],[2,6,73],[3,5,8],[3,6,38],[4,5,21],[4,6,5],[5,6,53]]}", "role": "user" }, { "content": "{\"Answer\":58}", "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],[0,2,7],[0,4,26],[1,5,63],[1,6,13],[2,3,67],[2,4,4],[2,6,73],[3,5,8],[3,6,38],[4,5,21],[4,6,5],[5,6,53]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)\",\"Add (4,6)\",\"Add (0,2)\",\"Add (3,5)\",\"Add (1,6)\",\"Add (4,5)\"],\"Answer\":58}", "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],[0,2,7],[0,4,26],[1,5,63],[1,6,13],[2,3,67],[2,4,4],[2,6,73],[3,5,8],[3,6,38],[4,5,21],[4,6,5],[5,6,53]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=4, w=4\",\"Add (4,6)=5, w=9\",\"Add (0,2)=7, w=16\",\"Add (3,5)=8, w=24\",\"Add (1,6)=13, w=37\",\"Add (4,5)=21, w=58\"],\"Answer\":58}", "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],[0,2,7],[0,4,26],[1,5,63],[1,6,13],[2,3,67],[2,4,4],[2,6,73],[3,5,8],[3,6,38],[4,5,21],[4,6,5],[5,6,53]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=4 Succeeded, w=4\",\"Add (4,6)=5 Succeeded, w=9\",\"Add (0,2)=7 Succeeded, w=16\",\"Add (3,5)=8 Succeeded, w=24\",\"Add (1,6)=13 Succeeded, w=37\",\"Add (4,5)=21 Succeeded, w=58\",\"Add (0,1)=24 Failed, w=58\",\"Add (0,4)=26 Failed, w=58\",\"Add (3,6)=38 Failed, w=58\",\"Add (5,6)=53 Failed, w=58\",\"Add (1,5)=63 Failed, w=58\",\"Add (2,3)=67 Failed, w=58\",\"Add (2,6)=73 Failed, w=58\"],\"Answer\":58}", "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],[0,2,7],[0,4,26],[1,5,63],[1,6,13],[2,3,67],[2,4,4],[2,6,73],[3,5,8],[3,6,38],[4,5,21],[4,6,5],[5,6,53]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=4,(4,6)=5,(0,2)=7,(3,5)=8,(1,6)=13,(4,5)=21,(0,1)=24,(0,4)=26,(3,6)=38,(5,6)=53,(1,5)=63,(2,3)=67,(2,6)=73]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Find(4)=2, Find(6)=6, Add (4,6)=5 Succeeded, w=9\",\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=16\",\"Find(3)=3, Find(5)=5, Add (3,5)=8 Succeeded, w=24\",\"Find(1)=1, Find(6)=2, Add (1,6)=13 Succeeded, w=37\",\"Find(4)=2, Find(5)=3, Add (4,5)=21 Succeeded, w=58\",\"Find(0)=2, Find(1)=2, Add (0,1)=24 Failed, w=58\",\"Find(0)=2, Find(4)=2, Add (0,4)=26 Failed, w=58\",\"Find(3)=2, Find(6)=2, Add (3,6)=38 Failed, w=58\",\"Find(5)=2, Find(6)=2, Add (5,6)=53 Failed, w=58\",\"Find(1)=2, Find(5)=2, Add (1,5)=63 Failed, w=58\",\"Find(2)=2, Find(3)=2, Add (2,3)=67 Failed, w=58\",\"Find(2)=2, Find(6)=2, Add (2,6)=73 Failed, w=58\"],\"Answer\":58}", "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],[0,2,7],[0,4,26],[1,5,63],[1,6,13],[2,3,67],[2,4,4],[2,6,73],[3,5,8],[3,6,38],[4,5,21],[4,6,5],[5,6,53]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=4,(4,6)=5,(0,2)=7,(3,5)=8,(1,6)=13,(4,5)=21,(0,1)=24,(0,4)=26,(3,6)=38,(5,6)=53,(1,5)=63,(2,3)=67,(2,6)=73]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2}, Find(4)=2, Find(6)=6, Add (4,6)=5 Succeeded, w=9\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=16\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 2}, Find(3)=3, Find(5)=5, Add (3,5)=8 Succeeded, w=24\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 3, 6: 2}, Find(1)=1, Find(6)=2, Add (1,6)=13 Succeeded, w=37\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2}, Find(4)=2, Find(5)=3, Add (4,5)=21 Succeeded, w=58\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=24 Failed, w=58\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=26 Failed, w=58\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=38 Failed, w=58\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=53 Failed, w=58\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=63 Failed, w=58\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=67 Failed, w=58\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=73 Failed, w=58\"],\"Answer\":58}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,59],[0,2,88],[0,3,62],[1,2,96],[1,3,86],[1,4,63],[1,5,87],[2,3,52],[2,4,69],[2,5,11],[3,4,54]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,59],[0,2,88],[0,3,62],[1,2,96],[1,3,86],[1,4,63],[1,5,87],[2,3,52],[2,4,69],[2,5,11],[3,4,54]]}", "role": "user" }, { "content": "{\"Answer\":238}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,59],[0,2,88],[0,3,62],[1,2,96],[1,3,86],[1,4,63],[1,5,87],[2,3,52],[2,4,69],[2,5,11],[3,4,54]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":238}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,59],[0,2,88],[0,3,62],[1,2,96],[1,3,86],[1,4,63],[1,5,87],[2,3,52],[2,4,69],[2,5,11],[3,4,54]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=11, w=11\",\"Add (2,3)=52, w=63\",\"Add (3,4)=54, w=117\",\"Add (0,1)=59, w=176\",\"Add (0,3)=62, w=238\"],\"Answer\":238}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,59],[0,2,88],[0,3,62],[1,2,96],[1,3,86],[1,4,63],[1,5,87],[2,3,52],[2,4,69],[2,5,11],[3,4,54]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=11 Succeeded, w=11\",\"Add (2,3)=52 Succeeded, w=63\",\"Add (3,4)=54 Succeeded, w=117\",\"Add (0,1)=59 Succeeded, w=176\",\"Add (0,3)=62 Succeeded, w=238\",\"Add (1,4)=63 Failed, w=238\",\"Add (2,4)=69 Failed, w=238\",\"Add (1,3)=86 Failed, w=238\",\"Add (1,5)=87 Failed, w=238\",\"Add (0,2)=88 Failed, w=238\",\"Add (1,2)=96 Failed, w=238\"],\"Answer\":238}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,59],[0,2,88],[0,3,62],[1,2,96],[1,3,86],[1,4,63],[1,5,87],[2,3,52],[2,4,69],[2,5,11],[3,4,54]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=11,(2,3)=52,(3,4)=54,(0,1)=59,(0,3)=62,(1,4)=63,(2,4)=69,(1,3)=86,(1,5)=87,(0,2)=88,(1,2)=96]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=11\",\"Find(2)=2, Find(3)=3, Add (2,3)=52 Succeeded, w=63\",\"Find(3)=2, Find(4)=4, Add (3,4)=54 Succeeded, w=117\",\"Find(0)=0, Find(1)=1, Add (0,1)=59 Succeeded, w=176\",\"Find(0)=0, Find(3)=2, Add (0,3)=62 Succeeded, w=238\",\"Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=238\",\"Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=238\",\"Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=238\",\"Find(1)=0, Find(5)=0, Add (1,5)=87 Failed, w=238\",\"Find(0)=0, Find(2)=0, Add (0,2)=88 Failed, w=238\",\"Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=238\"],\"Answer\":238}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,59],[0,2,88],[0,3,62],[1,2,96],[1,3,86],[1,4,63],[1,5,87],[2,3,52],[2,4,69],[2,5,11],[3,4,54]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=11,(2,3)=52,(3,4)=54,(0,1)=59,(0,3)=62,(1,4)=63,(2,4)=69,(1,3)=86,(1,5)=87,(0,2)=88,(1,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 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: 2, 4: 4, 5: 2}, Find(2)=2, Find(3)=3, Add (2,3)=52 Succeeded, w=63\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=4, Add (3,4)=54 Succeeded, w=117\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(1)=1, Add (0,1)=59 Succeeded, w=176\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(3)=2, Add (0,3)=62 Succeeded, w=238\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 2}, Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=238\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 2}, Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=238\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=238\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=87 Failed, w=238\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=88 Failed, w=238\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=238\"],\"Answer\":238}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,28],[0,2,59],[0,3,84],[0,4,72],[1,3,39],[1,4,71],[2,3,78],[2,4,98],[3,4,46]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,59],[0,3,84],[0,4,72],[1,3,39],[1,4,71],[2,3,78],[2,4,98],[3,4,46]]}", "role": "user" }, { "content": "{\"Answer\":172}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,59],[0,3,84],[0,4,72],[1,3,39],[1,4,71],[2,3,78],[2,4,98],[3,4,46]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (3,4)\",\"Add (0,2)\"],\"Answer\":172}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,59],[0,3,84],[0,4,72],[1,3,39],[1,4,71],[2,3,78],[2,4,98],[3,4,46]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=28, w=28\",\"Add (1,3)=39, w=67\",\"Add (3,4)=46, w=113\",\"Add (0,2)=59, w=172\"],\"Answer\":172}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,59],[0,3,84],[0,4,72],[1,3,39],[1,4,71],[2,3,78],[2,4,98],[3,4,46]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=28 Succeeded, w=28\",\"Add (1,3)=39 Succeeded, w=67\",\"Add (3,4)=46 Succeeded, w=113\",\"Add (0,2)=59 Succeeded, w=172\",\"Add (1,4)=71 Failed, w=172\",\"Add (0,4)=72 Failed, w=172\",\"Add (2,3)=78 Failed, w=172\",\"Add (0,3)=84 Failed, w=172\",\"Add (2,4)=98 Failed, w=172\"],\"Answer\":172}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,59],[0,3,84],[0,4,72],[1,3,39],[1,4,71],[2,3,78],[2,4,98],[3,4,46]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=28,(1,3)=39,(3,4)=46,(0,2)=59,(1,4)=71,(0,4)=72,(2,3)=78,(0,3)=84,(2,4)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=28\",\"Find(1)=0, Find(3)=3, Add (1,3)=39 Succeeded, w=67\",\"Find(3)=0, Find(4)=4, Add (3,4)=46 Succeeded, w=113\",\"Find(0)=0, Find(2)=2, Add (0,2)=59 Succeeded, w=172\",\"Find(1)=0, Find(4)=0, Add (1,4)=71 Failed, w=172\",\"Find(0)=0, Find(4)=0, Add (0,4)=72 Failed, w=172\",\"Find(2)=0, Find(3)=0, Add (2,3)=78 Failed, w=172\",\"Find(0)=0, Find(3)=0, Add (0,3)=84 Failed, w=172\",\"Find(2)=0, Find(4)=0, Add (2,4)=98 Failed, w=172\"],\"Answer\":172}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,59],[0,3,84],[0,4,72],[1,3,39],[1,4,71],[2,3,78],[2,4,98],[3,4,46]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=28,(1,3)=39,(3,4)=46,(0,2)=59,(1,4)=71,(0,4)=72,(2,3)=78,(0,3)=84,(2,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(1)=0, Find(3)=3, Add (1,3)=39 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=46 Succeeded, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=59 Succeeded, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=71 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=72 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=78 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=84 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=98 Failed, w=172\"],\"Answer\":172}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,14],[0,2,63],[0,3,96],[0,4,89],[1,2,49],[1,3,75],[2,3,78],[2,4,6],[3,4,51]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,63],[0,3,96],[0,4,89],[1,2,49],[1,3,75],[2,3,78],[2,4,6],[3,4,51]]}", "role": "user" }, { "content": "{\"Answer\":120}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,63],[0,3,96],[0,4,89],[1,2,49],[1,3,75],[2,3,78],[2,4,6],[3,4,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (3,4)\"],\"Answer\":120}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,63],[0,3,96],[0,4,89],[1,2,49],[1,3,75],[2,3,78],[2,4,6],[3,4,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=6, w=6\",\"Add (0,1)=14, w=20\",\"Add (1,2)=49, w=69\",\"Add (3,4)=51, w=120\"],\"Answer\":120}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,63],[0,3,96],[0,4,89],[1,2,49],[1,3,75],[2,3,78],[2,4,6],[3,4,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=6 Succeeded, w=6\",\"Add (0,1)=14 Succeeded, w=20\",\"Add (1,2)=49 Succeeded, w=69\",\"Add (3,4)=51 Succeeded, w=120\",\"Add (0,2)=63 Failed, w=120\",\"Add (1,3)=75 Failed, w=120\",\"Add (2,3)=78 Failed, w=120\",\"Add (0,4)=89 Failed, w=120\",\"Add (0,3)=96 Failed, w=120\"],\"Answer\":120}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,63],[0,3,96],[0,4,89],[1,2,49],[1,3,75],[2,3,78],[2,4,6],[3,4,51]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=6,(0,1)=14,(1,2)=49,(3,4)=51,(0,2)=63,(1,3)=75,(2,3)=78,(0,4)=89,(0,3)=96]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=20\",\"Find(1)=0, Find(2)=2, Add (1,2)=49 Succeeded, w=69\",\"Find(3)=3, Find(4)=0, Add (3,4)=51 Succeeded, w=120\",\"Find(0)=0, Find(2)=0, Add (0,2)=63 Failed, w=120\",\"Find(1)=0, Find(3)=0, Add (1,3)=75 Failed, w=120\",\"Find(2)=0, Find(3)=0, Add (2,3)=78 Failed, w=120\",\"Find(0)=0, Find(4)=0, Add (0,4)=89 Failed, w=120\",\"Find(0)=0, Find(3)=0, Add (0,3)=96 Failed, w=120\"],\"Answer\":120}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,63],[0,3,96],[0,4,89],[1,2,49],[1,3,75],[2,3,78],[2,4,6],[3,4,51]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=6,(0,1)=14,(1,2)=49,(3,4)=51,(0,2)=63,(1,3)=75,(2,3)=78,(0,4)=89,(0,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2}, Find(1)=0, Find(2)=2, Add (1,2)=49 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=51 Succeeded, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=63 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=75 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=78 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=89 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=96 Failed, w=120\"],\"Answer\":120}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,5],[0,2,95],[0,3,72],[0,4,31],[0,5,96],[1,2,20],[1,3,96],[1,6,46],[2,3,57],[2,4,93],[2,6,29],[3,4,67],[3,5,36],[3,6,78],[4,5,37],[4,6,20],[5,6,47]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,95],[0,3,72],[0,4,31],[0,5,96],[1,2,20],[1,3,96],[1,6,46],[2,3,57],[2,4,93],[2,6,29],[3,4,67],[3,5,36],[3,6,78],[4,5,37],[4,6,20],[5,6,47]]}", "role": "user" }, { "content": "{\"Answer\":147}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,95],[0,3,72],[0,4,31],[0,5,96],[1,2,20],[1,3,96],[1,6,46],[2,3,57],[2,4,93],[2,6,29],[3,4,67],[3,5,36],[3,6,78],[4,5,37],[4,6,20],[5,6,47]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (4,6)\",\"Add (2,6)\",\"Add (3,5)\",\"Add (4,5)\"],\"Answer\":147}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,95],[0,3,72],[0,4,31],[0,5,96],[1,2,20],[1,3,96],[1,6,46],[2,3,57],[2,4,93],[2,6,29],[3,4,67],[3,5,36],[3,6,78],[4,5,37],[4,6,20],[5,6,47]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=5, w=5\",\"Add (1,2)=20, w=25\",\"Add (4,6)=20, w=45\",\"Add (2,6)=29, w=74\",\"Add (3,5)=36, w=110\",\"Add (4,5)=37, w=147\"],\"Answer\":147}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,95],[0,3,72],[0,4,31],[0,5,96],[1,2,20],[1,3,96],[1,6,46],[2,3,57],[2,4,93],[2,6,29],[3,4,67],[3,5,36],[3,6,78],[4,5,37],[4,6,20],[5,6,47]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=5 Succeeded, w=5\",\"Add (1,2)=20 Succeeded, w=25\",\"Add (4,6)=20 Succeeded, w=45\",\"Add (2,6)=29 Succeeded, w=74\",\"Add (0,4)=31 Failed, w=74\",\"Add (3,5)=36 Succeeded, w=110\",\"Add (4,5)=37 Succeeded, w=147\",\"Add (1,6)=46 Failed, w=147\",\"Add (5,6)=47 Failed, w=147\",\"Add (2,3)=57 Failed, w=147\",\"Add (3,4)=67 Failed, w=147\",\"Add (0,3)=72 Failed, w=147\",\"Add (3,6)=78 Failed, w=147\",\"Add (2,4)=93 Failed, w=147\",\"Add (0,2)=95 Failed, w=147\",\"Add (0,5)=96 Failed, w=147\",\"Add (1,3)=96 Failed, w=147\"],\"Answer\":147}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,95],[0,3,72],[0,4,31],[0,5,96],[1,2,20],[1,3,96],[1,6,46],[2,3,57],[2,4,93],[2,6,29],[3,4,67],[3,5,36],[3,6,78],[4,5,37],[4,6,20],[5,6,47]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=5,(1,2)=20,(4,6)=20,(2,6)=29,(0,4)=31,(3,5)=36,(4,5)=37,(1,6)=46,(5,6)=47,(2,3)=57,(3,4)=67,(0,3)=72,(3,6)=78,(2,4)=93,(0,2)=95,(0,5)=96,(1,3)=96]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Find(1)=0, Find(2)=2, Add (1,2)=20 Succeeded, w=25\",\"Find(4)=4, Find(6)=6, Add (4,6)=20 Succeeded, w=45\",\"Find(2)=0, Find(6)=4, Add (2,6)=29 Succeeded, w=74\",\"Find(0)=0, Find(4)=0, Add (0,4)=31 Failed, w=74\",\"Find(3)=3, Find(5)=5, Add (3,5)=36 Succeeded, w=110\",\"Find(4)=0, Find(5)=3, Add (4,5)=37 Succeeded, w=147\",\"Find(1)=0, Find(6)=0, Add (1,6)=46 Failed, w=147\",\"Find(5)=0, Find(6)=0, Add (5,6)=47 Failed, w=147\",\"Find(2)=0, Find(3)=0, Add (2,3)=57 Failed, w=147\",\"Find(3)=0, Find(4)=0, Add (3,4)=67 Failed, w=147\",\"Find(0)=0, Find(3)=0, Add (0,3)=72 Failed, w=147\",\"Find(3)=0, Find(6)=0, Add (3,6)=78 Failed, w=147\",\"Find(2)=0, Find(4)=0, Add (2,4)=93 Failed, w=147\",\"Find(0)=0, Find(2)=0, Add (0,2)=95 Failed, w=147\",\"Find(0)=0, Find(5)=0, Add (0,5)=96 Failed, w=147\",\"Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=147\"],\"Answer\":147}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,95],[0,3,72],[0,4,31],[0,5,96],[1,2,20],[1,3,96],[1,6,46],[2,3,57],[2,4,93],[2,6,29],[3,4,67],[3,5,36],[3,6,78],[4,5,37],[4,6,20],[5,6,47]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=5,(1,2)=20,(4,6)=20,(2,6)=29,(0,4)=31,(3,5)=36,(4,5)=37,(1,6)=46,(5,6)=47,(2,3)=57,(3,4)=67,(0,3)=72,(3,6)=78,(2,4)=93,(0,2)=95,(0,5)=96,(1,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=0, Find(2)=2, Add (1,2)=20 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=20 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 4}, Find(2)=0, Find(6)=4, Add (2,6)=29 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 4}, Find(0)=0, Find(4)=0, Add (0,4)=31 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 3, 6: 4}, Find(3)=3, Find(5)=5, Add (3,5)=36 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 4}, Find(4)=0, Find(5)=3, Add (4,5)=37 Succeeded, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=46 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=47 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=57 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=67 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=72 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=78 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=93 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=95 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=96 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=147\"],\"Answer\":147}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,52],[0,2,6],[0,3,82],[1,2,65],[1,4,51],[2,3,43],[2,4,42],[3,4,35]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,52],[0,2,6],[0,3,82],[1,2,65],[1,4,51],[2,3,43],[2,4,42],[3,4,35]]}", "role": "user" }, { "content": "{\"Answer\":134}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,52],[0,2,6],[0,3,82],[1,2,65],[1,4,51],[2,3,43],[2,4,42],[3,4,35]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (1,4)\"],\"Answer\":134}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,52],[0,2,6],[0,3,82],[1,2,65],[1,4,51],[2,3,43],[2,4,42],[3,4,35]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=6, w=6\",\"Add (3,4)=35, w=41\",\"Add (2,4)=42, w=83\",\"Add (1,4)=51, w=134\"],\"Answer\":134}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,52],[0,2,6],[0,3,82],[1,2,65],[1,4,51],[2,3,43],[2,4,42],[3,4,35]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=6 Succeeded, w=6\",\"Add (3,4)=35 Succeeded, w=41\",\"Add (2,4)=42 Succeeded, w=83\",\"Add (2,3)=43 Failed, w=83\",\"Add (1,4)=51 Succeeded, w=134\",\"Add (0,1)=52 Failed, w=134\",\"Add (1,2)=65 Failed, w=134\",\"Add (0,3)=82 Failed, w=134\"],\"Answer\":134}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,52],[0,2,6],[0,3,82],[1,2,65],[1,4,51],[2,3,43],[2,4,42],[3,4,35]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=6,(3,4)=35,(2,4)=42,(2,3)=43,(1,4)=51,(0,1)=52,(1,2)=65,(0,3)=82]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Find(3)=3, Find(4)=4, Add (3,4)=35 Succeeded, w=41\",\"Find(2)=0, Find(4)=3, Add (2,4)=42 Succeeded, w=83\",\"Find(2)=0, Find(3)=0, Add (2,3)=43 Failed, w=83\",\"Find(1)=1, Find(4)=0, Add (1,4)=51 Succeeded, w=134\",\"Find(0)=0, Find(1)=0, Add (0,1)=52 Failed, w=134\",\"Find(1)=0, Find(2)=0, Add (1,2)=65 Failed, w=134\",\"Find(0)=0, Find(3)=0, Add (0,3)=82 Failed, w=134\"],\"Answer\":134}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,52],[0,2,6],[0,3,82],[1,2,65],[1,4,51],[2,3,43],[2,4,42],[3,4,35]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=6,(3,4)=35,(2,4)=42,(2,3)=43,(1,4)=51,(0,1)=52,(1,2)=65,(0,3)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=35 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(4)=3, Add (2,4)=42 Succeeded, w=83\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(3)=0, Add (2,3)=43 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=51 Succeeded, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=52 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=65 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=82 Failed, w=134\"],\"Answer\":134}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,36],[0,3,25],[0,4,38],[0,5,67],[1,3,43],[1,6,68],[1,7,72],[2,4,86],[2,6,94],[2,7,7],[3,5,47],[3,7,57],[4,5,64],[4,7,37],[5,7,40],[6,7,2]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,3,25],[0,4,38],[0,5,67],[1,3,43],[1,6,68],[1,7,72],[2,4,86],[2,6,94],[2,7,7],[3,5,47],[3,7,57],[4,5,64],[4,7,37],[5,7,40],[6,7,2]]}", "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\":[[0,1,36],[0,3,25],[0,4,38],[0,5,67],[1,3,43],[1,6,68],[1,7,72],[2,4,86],[2,6,94],[2,7,7],[3,5,47],[3,7,57],[4,5,64],[4,7,37],[5,7,40],[6,7,2]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (6,7)\",\"Add (2,7)\",\"Add (0,3)\",\"Add (0,1)\",\"Add (4,7)\",\"Add (0,4)\",\"Add (5,7)\"],\"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\":[[0,1,36],[0,3,25],[0,4,38],[0,5,67],[1,3,43],[1,6,68],[1,7,72],[2,4,86],[2,6,94],[2,7,7],[3,5,47],[3,7,57],[4,5,64],[4,7,37],[5,7,40],[6,7,2]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (6,7)=2, w=2\",\"Add (2,7)=7, w=9\",\"Add (0,3)=25, w=34\",\"Add (0,1)=36, w=70\",\"Add (4,7)=37, w=107\",\"Add (0,4)=38, w=145\",\"Add (5,7)=40, 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\":[[0,1,36],[0,3,25],[0,4,38],[0,5,67],[1,3,43],[1,6,68],[1,7,72],[2,4,86],[2,6,94],[2,7,7],[3,5,47],[3,7,57],[4,5,64],[4,7,37],[5,7,40],[6,7,2]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (6,7)=2 Succeeded, w=2\",\"Add (2,7)=7 Succeeded, w=9\",\"Add (0,3)=25 Succeeded, w=34\",\"Add (0,1)=36 Succeeded, w=70\",\"Add (4,7)=37 Succeeded, w=107\",\"Add (0,4)=38 Succeeded, w=145\",\"Add (5,7)=40 Succeeded, w=185\",\"Add (1,3)=43 Failed, w=185\",\"Add (3,5)=47 Failed, w=185\",\"Add (3,7)=57 Failed, w=185\",\"Add (4,5)=64 Failed, w=185\",\"Add (0,5)=67 Failed, w=185\",\"Add (1,6)=68 Failed, w=185\",\"Add (1,7)=72 Failed, w=185\",\"Add (2,4)=86 Failed, w=185\",\"Add (2,6)=94 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\":[[0,1,36],[0,3,25],[0,4,38],[0,5,67],[1,3,43],[1,6,68],[1,7,72],[2,4,86],[2,6,94],[2,7,7],[3,5,47],[3,7,57],[4,5,64],[4,7,37],[5,7,40],[6,7,2]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(6,7)=2,(2,7)=7,(0,3)=25,(0,1)=36,(4,7)=37,(0,4)=38,(5,7)=40,(1,3)=43,(3,5)=47,(3,7)=57,(4,5)=64,(0,5)=67,(1,6)=68,(1,7)=72,(2,4)=86,(2,6)=94]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=2 Succeeded, w=2\",\"Find(2)=2, Find(7)=6, Add (2,7)=7 Succeeded, w=9\",\"Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=34\",\"Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=70\",\"Find(4)=4, Find(7)=6, Add (4,7)=37 Succeeded, w=107\",\"Find(0)=0, Find(4)=6, Add (0,4)=38 Succeeded, w=145\",\"Find(5)=5, Find(7)=0, Add (5,7)=40 Succeeded, w=185\",\"Find(1)=0, Find(3)=0, Add (1,3)=43 Failed, w=185\",\"Find(3)=0, Find(5)=0, Add (3,5)=47 Failed, w=185\",\"Find(3)=0, Find(7)=0, Add (3,7)=57 Failed, w=185\",\"Find(4)=0, Find(5)=0, Add (4,5)=64 Failed, w=185\",\"Find(0)=0, Find(5)=0, Add (0,5)=67 Failed, w=185\",\"Find(1)=0, Find(6)=0, Add (1,6)=68 Failed, w=185\",\"Find(1)=0, Find(7)=0, Add (1,7)=72 Failed, w=185\",\"Find(2)=0, Find(4)=0, Add (2,4)=86 Failed, w=185\",\"Find(2)=0, Find(6)=0, Add (2,6)=94 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\":[[0,1,36],[0,3,25],[0,4,38],[0,5,67],[1,3,43],[1,6,68],[1,7,72],[2,4,86],[2,6,94],[2,7,7],[3,5,47],[3,7,57],[4,5,64],[4,7,37],[5,7,40],[6,7,2]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(6,7)=2,(2,7)=7,(0,3)=25,(0,1)=36,(4,7)=37,(0,4)=38,(5,7)=40,(1,3)=43,(3,5)=47,(3,7)=57,(4,5)=64,(0,5)=67,(1,6)=68,(1,7)=72,(2,4)=86,(2,6)=94]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 6, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(2)=2, Find(7)=6, Add (2,7)=7 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 6, 3: 0, 4: 4, 5: 5, 6: 6, 7: 6}, Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 6, 3: 0, 4: 4, 5: 5, 6: 6, 7: 6}, Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 6, 3: 0, 4: 6, 5: 5, 6: 6, 7: 6}, Find(4)=4, Find(7)=6, Add (4,7)=37 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 6, 3: 0, 4: 6, 5: 5, 6: 0, 7: 6}, Find(0)=0, Find(4)=6, Add (0,4)=38 Succeeded, w=145\",\"Parent: {0: 0, 1: 0, 2: 6, 3: 0, 4: 6, 5: 0, 6: 0, 7: 0}, Find(5)=5, Find(7)=0, Add (5,7)=40 Succeeded, w=185\",\"Parent: {0: 0, 1: 0, 2: 6, 3: 0, 4: 6, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=43 Failed, w=185\",\"Parent: {0: 0, 1: 0, 2: 6, 3: 0, 4: 6, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=47 Failed, w=185\",\"Parent: {0: 0, 1: 0, 2: 6, 3: 0, 4: 6, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=57 Failed, w=185\",\"Parent: {0: 0, 1: 0, 2: 6, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=64 Failed, w=185\",\"Parent: {0: 0, 1: 0, 2: 6, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=67 Failed, w=185\",\"Parent: {0: 0, 1: 0, 2: 6, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=68 Failed, w=185\",\"Parent: {0: 0, 1: 0, 2: 6, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=72 Failed, w=185\",\"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)=86 Failed, w=185\",\"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)=94 Failed, w=185\"],\"Answer\":185}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,37],[0,2,5],[0,3,63],[1,2,10],[1,3,18],[2,4,30]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,5],[0,3,63],[1,2,10],[1,3,18],[2,4,30]]}", "role": "user" }, { "content": "{\"Answer\":63}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,5],[0,3,63],[1,2,10],[1,3,18],[2,4,30]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"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],\"edges\":[[0,1,37],[0,2,5],[0,3,63],[1,2,10],[1,3,18],[2,4,30]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=5, w=5\",\"Add (1,2)=10, w=15\",\"Add (1,3)=18, w=33\",\"Add (2,4)=30, w=63\"],\"Answer\":63}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,5],[0,3,63],[1,2,10],[1,3,18],[2,4,30]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=5 Succeeded, w=5\",\"Add (1,2)=10 Succeeded, w=15\",\"Add (1,3)=18 Succeeded, w=33\",\"Add (2,4)=30 Succeeded, w=63\",\"Add (0,1)=37 Failed, w=63\",\"Add (0,3)=63 Failed, w=63\"],\"Answer\":63}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,5],[0,3,63],[1,2,10],[1,3,18],[2,4,30]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=5,(1,2)=10,(1,3)=18,(2,4)=30,(0,1)=37,(0,3)=63]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Find(1)=1, Find(2)=0, Add (1,2)=10 Succeeded, w=15\",\"Find(1)=0, Find(3)=3, Add (1,3)=18 Succeeded, w=33\",\"Find(2)=0, Find(4)=4, Add (2,4)=30 Succeeded, w=63\",\"Find(0)=0, Find(1)=0, Add (0,1)=37 Failed, w=63\",\"Find(0)=0, Find(3)=0, Add (0,3)=63 Failed, w=63\"],\"Answer\":63}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,5],[0,3,63],[1,2,10],[1,3,18],[2,4,30]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=5,(1,2)=10,(1,3)=18,(2,4)=30,(0,1)=37,(0,3)=63]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(1)=1, Find(2)=0, Add (1,2)=10 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(3)=3, Add (1,3)=18 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=30 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=37 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=63 Failed, w=63\"],\"Answer\":63}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,50],[0,2,17],[0,3,44],[0,5,53],[1,2,56],[1,3,52],[1,4,80],[1,5,87],[2,3,52],[2,4,73],[2,5,34],[3,4,69],[3,5,81],[4,5,45]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,17],[0,3,44],[0,5,53],[1,2,56],[1,3,52],[1,4,80],[1,5,87],[2,3,52],[2,4,73],[2,5,34],[3,4,69],[3,5,81],[4,5,45]]}", "role": "user" }, { "content": "{\"Answer\":190}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,17],[0,3,44],[0,5,53],[1,2,56],[1,3,52],[1,4,80],[1,5,87],[2,3,52],[2,4,73],[2,5,34],[3,4,69],[3,5,81],[4,5,45]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (2,5)\",\"Add (0,3)\",\"Add (4,5)\",\"Add (0,1)\"],\"Answer\":190}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,17],[0,3,44],[0,5,53],[1,2,56],[1,3,52],[1,4,80],[1,5,87],[2,3,52],[2,4,73],[2,5,34],[3,4,69],[3,5,81],[4,5,45]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=17, w=17\",\"Add (2,5)=34, w=51\",\"Add (0,3)=44, w=95\",\"Add (4,5)=45, w=140\",\"Add (0,1)=50, w=190\"],\"Answer\":190}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,17],[0,3,44],[0,5,53],[1,2,56],[1,3,52],[1,4,80],[1,5,87],[2,3,52],[2,4,73],[2,5,34],[3,4,69],[3,5,81],[4,5,45]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=17 Succeeded, w=17\",\"Add (2,5)=34 Succeeded, w=51\",\"Add (0,3)=44 Succeeded, w=95\",\"Add (4,5)=45 Succeeded, w=140\",\"Add (0,1)=50 Succeeded, w=190\",\"Add (1,3)=52 Failed, w=190\",\"Add (2,3)=52 Failed, w=190\",\"Add (0,5)=53 Failed, w=190\",\"Add (1,2)=56 Failed, w=190\",\"Add (3,4)=69 Failed, w=190\",\"Add (2,4)=73 Failed, w=190\",\"Add (1,4)=80 Failed, w=190\",\"Add (3,5)=81 Failed, w=190\",\"Add (1,5)=87 Failed, w=190\"],\"Answer\":190}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,17],[0,3,44],[0,5,53],[1,2,56],[1,3,52],[1,4,80],[1,5,87],[2,3,52],[2,4,73],[2,5,34],[3,4,69],[3,5,81],[4,5,45]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=17,(2,5)=34,(0,3)=44,(4,5)=45,(0,1)=50,(1,3)=52,(2,3)=52,(0,5)=53,(1,2)=56,(3,4)=69,(2,4)=73,(1,4)=80,(3,5)=81,(1,5)=87]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=17\",\"Find(2)=0, Find(5)=5, Add (2,5)=34 Succeeded, w=51\",\"Find(0)=0, Find(3)=3, Add (0,3)=44 Succeeded, w=95\",\"Find(4)=4, Find(5)=0, Add (4,5)=45 Succeeded, w=140\",\"Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=190\",\"Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=190\",\"Find(2)=0, Find(3)=0, Add (2,3)=52 Failed, w=190\",\"Find(0)=0, Find(5)=0, Add (0,5)=53 Failed, w=190\",\"Find(1)=0, Find(2)=0, Add (1,2)=56 Failed, w=190\",\"Find(3)=0, Find(4)=0, Add (3,4)=69 Failed, w=190\",\"Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=190\",\"Find(1)=0, Find(4)=0, Add (1,4)=80 Failed, w=190\",\"Find(3)=0, Find(5)=0, Add (3,5)=81 Failed, w=190\",\"Find(1)=0, Find(5)=0, Add (1,5)=87 Failed, w=190\"],\"Answer\":190}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,17],[0,3,44],[0,5,53],[1,2,56],[1,3,52],[1,4,80],[1,5,87],[2,3,52],[2,4,73],[2,5,34],[3,4,69],[3,5,81],[4,5,45]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=17,(2,5)=34,(0,3)=44,(4,5)=45,(0,1)=50,(1,3)=52,(2,3)=52,(0,5)=53,(1,2)=56,(3,4)=69,(2,4)=73,(1,4)=80,(3,5)=81,(1,5)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0}, Find(2)=0, Find(5)=5, Add (2,5)=34 Succeeded, w=51\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(3)=3, Add (0,3)=44 Succeeded, w=95\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=4, Find(5)=0, Add (4,5)=45 Succeeded, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=190\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=190\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=52 Failed, w=190\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=53 Failed, w=190\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=56 Failed, w=190\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=69 Failed, w=190\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=190\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=80 Failed, w=190\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=81 Failed, w=190\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=87 Failed, w=190\"],\"Answer\":190}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,94],[0,2,82],[0,3,8],[1,2,84],[1,3,88],[2,3,76]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,82],[0,3,8],[1,2,84],[1,3,88],[2,3,76]]}", "role": "user" }, { "content": "{\"Answer\":168}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,82],[0,3,8],[1,2,84],[1,3,88],[2,3,76]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":168}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,82],[0,3,8],[1,2,84],[1,3,88],[2,3,76]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=8, w=8\",\"Add (2,3)=76, w=84\",\"Add (1,2)=84, w=168\"],\"Answer\":168}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,82],[0,3,8],[1,2,84],[1,3,88],[2,3,76]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=8 Succeeded, w=8\",\"Add (2,3)=76 Succeeded, w=84\",\"Add (0,2)=82 Failed, w=84\",\"Add (1,2)=84 Succeeded, w=168\",\"Add (1,3)=88 Failed, w=168\",\"Add (0,1)=94 Failed, w=168\"],\"Answer\":168}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,82],[0,3,8],[1,2,84],[1,3,88],[2,3,76]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=8,(2,3)=76,(0,2)=82,(1,2)=84,(1,3)=88,(0,1)=94]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=8\",\"Find(2)=2, Find(3)=0, Add (2,3)=76 Succeeded, w=84\",\"Find(0)=0, Find(2)=0, Add (0,2)=82 Failed, w=84\",\"Find(1)=1, Find(2)=0, Add (1,2)=84 Succeeded, w=168\",\"Find(1)=0, Find(3)=0, Add (1,3)=88 Failed, w=168\",\"Find(0)=0, Find(1)=0, Add (0,1)=94 Failed, w=168\"],\"Answer\":168}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,82],[0,3,8],[1,2,84],[1,3,88],[2,3,76]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=8,(2,3)=76,(0,2)=82,(1,2)=84,(1,3)=88,(0,1)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=76 Succeeded, w=84\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=82 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=84 Succeeded, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=88 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=94 Failed, w=168\"],\"Answer\":168}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,68],[0,2,33],[0,3,66],[1,2,20],[1,3,14],[2,3,80]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,33],[0,3,66],[1,2,20],[1,3,14],[2,3,80]]}", "role": "user" }, { "content": "{\"Answer\":67}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,33],[0,3,66],[1,2,20],[1,3,14],[2,3,80]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":67}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,33],[0,3,66],[1,2,20],[1,3,14],[2,3,80]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=14, w=14\",\"Add (1,2)=20, w=34\",\"Add (0,2)=33, w=67\"],\"Answer\":67}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,33],[0,3,66],[1,2,20],[1,3,14],[2,3,80]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=14 Succeeded, w=14\",\"Add (1,2)=20 Succeeded, w=34\",\"Add (0,2)=33 Succeeded, w=67\",\"Add (0,3)=66 Failed, w=67\",\"Add (0,1)=68 Failed, w=67\",\"Add (2,3)=80 Failed, w=67\"],\"Answer\":67}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,33],[0,3,66],[1,2,20],[1,3,14],[2,3,80]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=14,(1,2)=20,(0,2)=33,(0,3)=66,(0,1)=68,(2,3)=80]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=14\",\"Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=34\",\"Find(0)=0, Find(2)=1, Add (0,2)=33 Succeeded, w=67\",\"Find(0)=1, Find(3)=1, Add (0,3)=66 Failed, w=67\",\"Find(0)=1, Find(1)=1, Add (0,1)=68 Failed, w=67\",\"Find(2)=1, Find(3)=1, Add (2,3)=80 Failed, w=67\"],\"Answer\":67}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,33],[0,3,66],[1,2,20],[1,3,14],[2,3,80]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=14,(1,2)=20,(0,2)=33,(0,3)=66,(0,1)=68,(2,3)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=33 Succeeded, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=66 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=68 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=80 Failed, w=67\"],\"Answer\":67}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,55],[0,3,36],[0,4,71],[0,5,83],[1,2,77],[1,4,26],[1,5,82],[2,4,56],[3,4,96],[4,5,8]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,3,36],[0,4,71],[0,5,83],[1,2,77],[1,4,26],[1,5,82],[2,4,56],[3,4,96],[4,5,8]]}", "role": "user" }, { "content": "{\"Answer\":181}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,3,36],[0,4,71],[0,5,83],[1,2,77],[1,4,26],[1,5,82],[2,4,56],[3,4,96],[4,5,8]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,5)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (0,1)\",\"Add (2,4)\"],\"Answer\":181}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,3,36],[0,4,71],[0,5,83],[1,2,77],[1,4,26],[1,5,82],[2,4,56],[3,4,96],[4,5,8]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,5)=8, w=8\",\"Add (1,4)=26, w=34\",\"Add (0,3)=36, w=70\",\"Add (0,1)=55, w=125\",\"Add (2,4)=56, w=181\"],\"Answer\":181}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,3,36],[0,4,71],[0,5,83],[1,2,77],[1,4,26],[1,5,82],[2,4,56],[3,4,96],[4,5,8]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,5)=8 Succeeded, w=8\",\"Add (1,4)=26 Succeeded, w=34\",\"Add (0,3)=36 Succeeded, w=70\",\"Add (0,1)=55 Succeeded, w=125\",\"Add (2,4)=56 Succeeded, w=181\",\"Add (0,4)=71 Failed, w=181\",\"Add (1,2)=77 Failed, w=181\",\"Add (1,5)=82 Failed, w=181\",\"Add (0,5)=83 Failed, w=181\",\"Add (3,4)=96 Failed, w=181\"],\"Answer\":181}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,3,36],[0,4,71],[0,5,83],[1,2,77],[1,4,26],[1,5,82],[2,4,56],[3,4,96],[4,5,8]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(4,5)=8,(1,4)=26,(0,3)=36,(0,1)=55,(2,4)=56,(0,4)=71,(1,2)=77,(1,5)=82,(0,5)=83,(3,4)=96]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=8 Succeeded, w=8\",\"Find(1)=1, Find(4)=4, Add (1,4)=26 Succeeded, w=34\",\"Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=70\",\"Find(0)=0, Find(1)=4, Add (0,1)=55 Succeeded, w=125\",\"Find(2)=2, Find(4)=0, Add (2,4)=56 Succeeded, w=181\",\"Find(0)=0, Find(4)=0, Add (0,4)=71 Failed, w=181\",\"Find(1)=0, Find(2)=0, Add (1,2)=77 Failed, w=181\",\"Find(1)=0, Find(5)=0, Add (1,5)=82 Failed, w=181\",\"Find(0)=0, Find(5)=0, Add (0,5)=83 Failed, w=181\",\"Find(3)=0, Find(4)=0, Add (3,4)=96 Failed, w=181\"],\"Answer\":181}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,3,36],[0,4,71],[0,5,83],[1,2,77],[1,4,26],[1,5,82],[2,4,56],[3,4,96],[4,5,8]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(4,5)=8,(1,4)=26,(0,3)=36,(0,1)=55,(2,4)=56,(0,4)=71,(1,2)=77,(1,5)=82,(0,5)=83,(3,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4}, Find(1)=1, Find(4)=4, Add (1,4)=26 Succeeded, w=34\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 0, 4: 4, 5: 4}, Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=70\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 0, 4: 0, 5: 4}, Find(0)=0, Find(1)=4, Add (0,1)=55 Succeeded, w=125\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 0, 4: 0, 5: 4}, Find(2)=2, Find(4)=0, Add (2,4)=56 Succeeded, w=181\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 0, 4: 0, 5: 4}, Find(0)=0, Find(4)=0, Add (0,4)=71 Failed, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4}, Find(1)=0, Find(2)=0, Add (1,2)=77 Failed, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=82 Failed, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=83 Failed, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=96 Failed, w=181\"],\"Answer\":181}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,67],[0,2,54],[0,3,72],[1,2,61],[1,3,74],[2,3,25]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,54],[0,3,72],[1,2,61],[1,3,74],[2,3,25]]}", "role": "user" }, { "content": "{\"Answer\":140}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,54],[0,3,72],[1,2,61],[1,3,74],[2,3,25]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":140}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,54],[0,3,72],[1,2,61],[1,3,74],[2,3,25]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=25, w=25\",\"Add (0,2)=54, w=79\",\"Add (1,2)=61, w=140\"],\"Answer\":140}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,54],[0,3,72],[1,2,61],[1,3,74],[2,3,25]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=25 Succeeded, w=25\",\"Add (0,2)=54 Succeeded, w=79\",\"Add (1,2)=61 Succeeded, w=140\",\"Add (0,1)=67 Failed, w=140\",\"Add (0,3)=72 Failed, w=140\",\"Add (1,3)=74 Failed, w=140\"],\"Answer\":140}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,54],[0,3,72],[1,2,61],[1,3,74],[2,3,25]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=25,(0,2)=54,(1,2)=61,(0,1)=67,(0,3)=72,(1,3)=74]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=25 Succeeded, w=25\",\"Find(0)=0, Find(2)=2, Add (0,2)=54 Succeeded, w=79\",\"Find(1)=1, Find(2)=2, Add (1,2)=61 Succeeded, w=140\",\"Find(0)=2, Find(1)=2, Add (0,1)=67 Failed, w=140\",\"Find(0)=2, Find(3)=2, Add (0,3)=72 Failed, w=140\",\"Find(1)=2, Find(3)=2, Add (1,3)=74 Failed, w=140\"],\"Answer\":140}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,54],[0,3,72],[1,2,61],[1,3,74],[2,3,25]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=25,(0,2)=54,(1,2)=61,(0,1)=67,(0,3)=72,(1,3)=74]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=25 Succeeded, w=25\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=54 Succeeded, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=61 Succeeded, w=140\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=67 Failed, w=140\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=72 Failed, w=140\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=74 Failed, w=140\"],\"Answer\":140}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,74],[0,2,87],[0,3,68],[0,4,61],[0,5,72],[0,6,65],[1,2,73],[1,4,4],[1,6,96],[2,3,6],[2,5,3],[2,6,29],[3,4,2],[3,5,72],[3,6,56],[4,5,65],[4,6,92],[5,6,98]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,2,87],[0,3,68],[0,4,61],[0,5,72],[0,6,65],[1,2,73],[1,4,4],[1,6,96],[2,3,6],[2,5,3],[2,6,29],[3,4,2],[3,5,72],[3,6,56],[4,5,65],[4,6,92],[5,6,98]]}", "role": "user" }, { "content": "{\"Answer\":105}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,2,87],[0,3,68],[0,4,61],[0,5,72],[0,6,65],[1,2,73],[1,4,4],[1,6,96],[2,3,6],[2,5,3],[2,6,29],[3,4,2],[3,5,72],[3,6,56],[4,5,65],[4,6,92],[5,6,98]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)\",\"Add (2,5)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (2,6)\",\"Add (0,4)\"],\"Answer\":105}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,2,87],[0,3,68],[0,4,61],[0,5,72],[0,6,65],[1,2,73],[1,4,4],[1,6,96],[2,3,6],[2,5,3],[2,6,29],[3,4,2],[3,5,72],[3,6,56],[4,5,65],[4,6,92],[5,6,98]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=2, w=2\",\"Add (2,5)=3, w=5\",\"Add (1,4)=4, w=9\",\"Add (2,3)=6, w=15\",\"Add (2,6)=29, w=44\",\"Add (0,4)=61, w=105\"],\"Answer\":105}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,2,87],[0,3,68],[0,4,61],[0,5,72],[0,6,65],[1,2,73],[1,4,4],[1,6,96],[2,3,6],[2,5,3],[2,6,29],[3,4,2],[3,5,72],[3,6,56],[4,5,65],[4,6,92],[5,6,98]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=2 Succeeded, w=2\",\"Add (2,5)=3 Succeeded, w=5\",\"Add (1,4)=4 Succeeded, w=9\",\"Add (2,3)=6 Succeeded, w=15\",\"Add (2,6)=29 Succeeded, w=44\",\"Add (3,6)=56 Failed, w=44\",\"Add (0,4)=61 Succeeded, w=105\",\"Add (0,6)=65 Failed, w=105\",\"Add (4,5)=65 Failed, w=105\",\"Add (0,3)=68 Failed, w=105\",\"Add (0,5)=72 Failed, w=105\",\"Add (3,5)=72 Failed, w=105\",\"Add (1,2)=73 Failed, w=105\",\"Add (0,1)=74 Failed, w=105\",\"Add (0,2)=87 Failed, w=105\",\"Add (4,6)=92 Failed, w=105\",\"Add (1,6)=96 Failed, w=105\",\"Add (5,6)=98 Failed, w=105\"],\"Answer\":105}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,2,87],[0,3,68],[0,4,61],[0,5,72],[0,6,65],[1,2,73],[1,4,4],[1,6,96],[2,3,6],[2,5,3],[2,6,29],[3,4,2],[3,5,72],[3,6,56],[4,5,65],[4,6,92],[5,6,98]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=2,(2,5)=3,(1,4)=4,(2,3)=6,(2,6)=29,(3,6)=56,(0,4)=61,(0,6)=65,(4,5)=65,(0,3)=68,(0,5)=72,(3,5)=72,(1,2)=73,(0,1)=74,(0,2)=87,(4,6)=92,(1,6)=96,(5,6)=98]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=5\",\"Find(1)=1, Find(4)=3, Add (1,4)=4 Succeeded, w=9\",\"Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=15\",\"Find(2)=2, Find(6)=6, Add (2,6)=29 Succeeded, w=44\",\"Find(3)=2, Find(6)=2, Add (3,6)=56 Failed, w=44\",\"Find(0)=0, Find(4)=2, Add (0,4)=61 Succeeded, w=105\",\"Find(0)=2, Find(6)=2, Add (0,6)=65 Failed, w=105\",\"Find(4)=2, Find(5)=2, Add (4,5)=65 Failed, w=105\",\"Find(0)=2, Find(3)=2, Add (0,3)=68 Failed, w=105\",\"Find(0)=2, Find(5)=2, Add (0,5)=72 Failed, w=105\",\"Find(3)=2, Find(5)=2, Add (3,5)=72 Failed, w=105\",\"Find(1)=2, Find(2)=2, Add (1,2)=73 Failed, w=105\",\"Find(0)=2, Find(1)=2, Add (0,1)=74 Failed, w=105\",\"Find(0)=2, Find(2)=2, Add (0,2)=87 Failed, w=105\",\"Find(4)=2, Find(6)=2, Add (4,6)=92 Failed, w=105\",\"Find(1)=2, Find(6)=2, Add (1,6)=96 Failed, w=105\",\"Find(5)=2, Find(6)=2, Add (5,6)=98 Failed, w=105\"],\"Answer\":105}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,2,87],[0,3,68],[0,4,61],[0,5,72],[0,6,65],[1,2,73],[1,4,4],[1,6,96],[2,3,6],[2,5,3],[2,6,29],[3,4,2],[3,5,72],[3,6,56],[4,5,65],[4,6,92],[5,6,98]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=2,(2,5)=3,(1,4)=4,(2,3)=6,(2,6)=29,(3,6)=56,(0,4)=61,(0,6)=65,(4,5)=65,(0,3)=68,(0,5)=72,(3,5)=72,(1,2)=73,(0,1)=74,(0,2)=87,(4,6)=92,(1,6)=96,(5,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 2, 6: 6}, Find(1)=1, Find(4)=3, Add (1,4)=4 Succeeded, w=9\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 2, 4: 3, 5: 2, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=15\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=29 Succeeded, w=44\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=56 Failed, w=44\",\"Parent: {0: 2, 1: 3, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=0, Find(4)=2, Add (0,4)=61 Succeeded, w=105\",\"Parent: {0: 2, 1: 3, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=65 Failed, w=105\",\"Parent: {0: 2, 1: 3, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=65 Failed, w=105\",\"Parent: {0: 2, 1: 3, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=68 Failed, w=105\",\"Parent: {0: 2, 1: 3, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=72 Failed, w=105\",\"Parent: {0: 2, 1: 3, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=72 Failed, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=73 Failed, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=74 Failed, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=87 Failed, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=92 Failed, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=96 Failed, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=98 Failed, w=105\"],\"Answer\":105}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,43],[0,4,45],[1,3,23],[1,4,55],[2,3,29],[2,4,28]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,43],[0,4,45],[1,3,23],[1,4,55],[2,3,29],[2,4,28]]}", "role": "user" }, { "content": "{\"Answer\":123}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,43],[0,4,45],[1,3,23],[1,4,55],[2,3,29],[2,4,28]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (2,4)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":123}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,43],[0,4,45],[1,3,23],[1,4,55],[2,3,29],[2,4,28]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=23, w=23\",\"Add (2,4)=28, w=51\",\"Add (2,3)=29, w=80\",\"Add (0,1)=43, w=123\"],\"Answer\":123}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,43],[0,4,45],[1,3,23],[1,4,55],[2,3,29],[2,4,28]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=23 Succeeded, w=23\",\"Add (2,4)=28 Succeeded, w=51\",\"Add (2,3)=29 Succeeded, w=80\",\"Add (0,1)=43 Succeeded, w=123\",\"Add (0,4)=45 Failed, w=123\",\"Add (1,4)=55 Failed, w=123\"],\"Answer\":123}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,43],[0,4,45],[1,3,23],[1,4,55],[2,3,29],[2,4,28]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=23,(2,4)=28,(2,3)=29,(0,1)=43,(0,4)=45,(1,4)=55]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=23\",\"Find(2)=2, Find(4)=4, Add (2,4)=28 Succeeded, w=51\",\"Find(2)=2, Find(3)=1, Add (2,3)=29 Succeeded, w=80\",\"Find(0)=0, Find(1)=2, Add (0,1)=43 Succeeded, w=123\",\"Find(0)=2, Find(4)=2, Add (0,4)=45 Failed, w=123\",\"Find(1)=2, Find(4)=2, Add (1,4)=55 Failed, w=123\"],\"Answer\":123}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,43],[0,4,45],[1,3,23],[1,4,55],[2,3,29],[2,4,28]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=23,(2,4)=28,(2,3)=29,(0,1)=43,(0,4)=45,(1,4)=55]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=28 Succeeded, w=51\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 2}, Find(2)=2, Find(3)=1, Add (2,3)=29 Succeeded, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2}, Find(0)=0, Find(1)=2, Add (0,1)=43 Succeeded, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=45 Failed, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=55 Failed, w=123\"],\"Answer\":123}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,2],[0,2,85],[0,3,22],[0,4,35],[0,5,8],[1,2,52],[1,3,49],[1,4,55],[1,5,67],[2,3,21],[2,4,53],[3,4,88],[3,5,46]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,85],[0,3,22],[0,4,35],[0,5,8],[1,2,52],[1,3,49],[1,4,55],[1,5,67],[2,3,21],[2,4,53],[3,4,88],[3,5,46]]}", "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\":[[0,1,2],[0,2,85],[0,3,22],[0,4,35],[0,5,8],[1,2,52],[1,3,49],[1,4,55],[1,5,67],[2,3,21],[2,4,53],[3,4,88],[3,5,46]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (0,5)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (0,4)\"],\"Answer\":88}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,85],[0,3,22],[0,4,35],[0,5,8],[1,2,52],[1,3,49],[1,4,55],[1,5,67],[2,3,21],[2,4,53],[3,4,88],[3,5,46]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=2, w=2\",\"Add (0,5)=8, w=10\",\"Add (2,3)=21, w=31\",\"Add (0,3)=22, w=53\",\"Add (0,4)=35, 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\":[[0,1,2],[0,2,85],[0,3,22],[0,4,35],[0,5,8],[1,2,52],[1,3,49],[1,4,55],[1,5,67],[2,3,21],[2,4,53],[3,4,88],[3,5,46]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=2 Succeeded, w=2\",\"Add (0,5)=8 Succeeded, w=10\",\"Add (2,3)=21 Succeeded, w=31\",\"Add (0,3)=22 Succeeded, w=53\",\"Add (0,4)=35 Succeeded, w=88\",\"Add (3,5)=46 Failed, w=88\",\"Add (1,3)=49 Failed, w=88\",\"Add (1,2)=52 Failed, w=88\",\"Add (2,4)=53 Failed, w=88\",\"Add (1,4)=55 Failed, w=88\",\"Add (1,5)=67 Failed, w=88\",\"Add (0,2)=85 Failed, w=88\",\"Add (3,4)=88 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\":[[0,1,2],[0,2,85],[0,3,22],[0,4,35],[0,5,8],[1,2,52],[1,3,49],[1,4,55],[1,5,67],[2,3,21],[2,4,53],[3,4,88],[3,5,46]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=2,(0,5)=8,(2,3)=21,(0,3)=22,(0,4)=35,(3,5)=46,(1,3)=49,(1,2)=52,(2,4)=53,(1,4)=55,(1,5)=67,(0,2)=85,(3,4)=88]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=10\",\"Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=31\",\"Find(0)=0, Find(3)=2, Add (0,3)=22 Succeeded, w=53\",\"Find(0)=0, Find(4)=4, Add (0,4)=35 Succeeded, w=88\",\"Find(3)=0, Find(5)=0, Add (3,5)=46 Failed, w=88\",\"Find(1)=0, Find(3)=0, Add (1,3)=49 Failed, w=88\",\"Find(1)=0, Find(2)=0, Add (1,2)=52 Failed, w=88\",\"Find(2)=0, Find(4)=0, Add (2,4)=53 Failed, w=88\",\"Find(1)=0, Find(4)=0, Add (1,4)=55 Failed, w=88\",\"Find(1)=0, Find(5)=0, Add (1,5)=67 Failed, w=88\",\"Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=88\",\"Find(3)=0, Find(4)=0, Add (3,4)=88 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\":[[0,1,2],[0,2,85],[0,3,22],[0,4,35],[0,5,8],[1,2,52],[1,3,49],[1,4,55],[1,5,67],[2,3,21],[2,4,53],[3,4,88],[3,5,46]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=2,(0,5)=8,(2,3)=21,(0,3)=22,(0,4)=35,(3,5)=46,(1,3)=49,(1,2)=52,(2,4)=53,(1,4)=55,(1,5)=67,(0,2)=85,(3,4)=88]\",\"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: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 0}, Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4, 5: 0}, Find(0)=0, Find(3)=2, Add (0,3)=22 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0}, Find(0)=0, Find(4)=4, Add (0,4)=35 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=46 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=49 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=52 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=53 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=55 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=67 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=88 Failed, w=88\"],\"Answer\":88}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,95],[0,2,6],[0,3,26],[0,4,90],[0,6,69],[1,2,80],[1,3,68],[1,4,94],[2,3,1],[2,4,29],[2,5,86],[3,4,72],[3,5,34],[3,6,90],[4,6,24],[5,6,75]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,6],[0,3,26],[0,4,90],[0,6,69],[1,2,80],[1,3,68],[1,4,94],[2,3,1],[2,4,29],[2,5,86],[3,4,72],[3,5,34],[3,6,90],[4,6,24],[5,6,75]]}", "role": "user" }, { "content": "{\"Answer\":162}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,6],[0,3,26],[0,4,90],[0,6,69],[1,2,80],[1,3,68],[1,4,94],[2,3,1],[2,4,29],[2,5,86],[3,4,72],[3,5,34],[3,6,90],[4,6,24],[5,6,75]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (4,6)\",\"Add (2,4)\",\"Add (3,5)\",\"Add (1,3)\"],\"Answer\":162}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,6],[0,3,26],[0,4,90],[0,6,69],[1,2,80],[1,3,68],[1,4,94],[2,3,1],[2,4,29],[2,5,86],[3,4,72],[3,5,34],[3,6,90],[4,6,24],[5,6,75]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (0,2)=6, w=7\",\"Add (4,6)=24, w=31\",\"Add (2,4)=29, w=60\",\"Add (3,5)=34, w=94\",\"Add (1,3)=68, w=162\"],\"Answer\":162}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,6],[0,3,26],[0,4,90],[0,6,69],[1,2,80],[1,3,68],[1,4,94],[2,3,1],[2,4,29],[2,5,86],[3,4,72],[3,5,34],[3,6,90],[4,6,24],[5,6,75]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (0,2)=6 Succeeded, w=7\",\"Add (4,6)=24 Succeeded, w=31\",\"Add (0,3)=26 Failed, w=31\",\"Add (2,4)=29 Succeeded, w=60\",\"Add (3,5)=34 Succeeded, w=94\",\"Add (1,3)=68 Succeeded, w=162\",\"Add (0,6)=69 Failed, w=162\",\"Add (3,4)=72 Failed, w=162\",\"Add (5,6)=75 Failed, w=162\",\"Add (1,2)=80 Failed, w=162\",\"Add (2,5)=86 Failed, w=162\",\"Add (0,4)=90 Failed, w=162\",\"Add (3,6)=90 Failed, w=162\",\"Add (1,4)=94 Failed, w=162\",\"Add (0,1)=95 Failed, w=162\"],\"Answer\":162}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,6],[0,3,26],[0,4,90],[0,6,69],[1,2,80],[1,3,68],[1,4,94],[2,3,1],[2,4,29],[2,5,86],[3,4,72],[3,5,34],[3,6,90],[4,6,24],[5,6,75]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=1,(0,2)=6,(4,6)=24,(0,3)=26,(2,4)=29,(3,5)=34,(1,3)=68,(0,6)=69,(3,4)=72,(5,6)=75,(1,2)=80,(2,5)=86,(0,4)=90,(3,6)=90,(1,4)=94,(0,1)=95]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=7\",\"Find(4)=4, Find(6)=6, Add (4,6)=24 Succeeded, w=31\",\"Find(0)=2, Find(3)=2, Add (0,3)=26 Failed, w=31\",\"Find(2)=2, Find(4)=4, Add (2,4)=29 Succeeded, w=60\",\"Find(3)=2, Find(5)=5, Add (3,5)=34 Succeeded, w=94\",\"Find(1)=1, Find(3)=2, Add (1,3)=68 Succeeded, w=162\",\"Find(0)=2, Find(6)=2, Add (0,6)=69 Failed, w=162\",\"Find(3)=2, Find(4)=2, Add (3,4)=72 Failed, w=162\",\"Find(5)=2, Find(6)=2, Add (5,6)=75 Failed, w=162\",\"Find(1)=2, Find(2)=2, Add (1,2)=80 Failed, w=162\",\"Find(2)=2, Find(5)=2, Add (2,5)=86 Failed, w=162\",\"Find(0)=2, Find(4)=2, Add (0,4)=90 Failed, w=162\",\"Find(3)=2, Find(6)=2, Add (3,6)=90 Failed, w=162\",\"Find(1)=2, Find(4)=2, Add (1,4)=94 Failed, w=162\",\"Find(0)=2, Find(1)=2, Add (0,1)=95 Failed, w=162\"],\"Answer\":162}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,6],[0,3,26],[0,4,90],[0,6,69],[1,2,80],[1,3,68],[1,4,94],[2,3,1],[2,4,29],[2,5,86],[3,4,72],[3,5,34],[3,6,90],[4,6,24],[5,6,75]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=1,(0,2)=6,(4,6)=24,(0,3)=26,(2,4)=29,(3,5)=34,(1,3)=68,(0,6)=69,(3,4)=72,(5,6)=75,(1,2)=80,(2,5)=86,(0,4)=90,(3,6)=90,(1,4)=94,(0,1)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=7\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=24 Succeeded, w=31\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 4}, Find(0)=2, Find(3)=2, Add (0,3)=26 Failed, w=31\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 4}, Find(2)=2, Find(4)=4, Add (2,4)=29 Succeeded, w=60\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4}, Find(3)=2, Find(5)=5, Add (3,5)=34 Succeeded, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4}, Find(1)=1, Find(3)=2, Add (1,3)=68 Succeeded, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=69 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=72 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=75 Failed, w=162\",\"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=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=86 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=90 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=90 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=94 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=95 Failed, w=162\"],\"Answer\":162}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,31],[0,2,53],[0,5,19],[1,3,39],[1,4,62],[1,5,5],[2,3,58],[2,5,49],[3,5,95]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,31],[0,2,53],[0,5,19],[1,3,39],[1,4,62],[1,5,5],[2,3,58],[2,5,49],[3,5,95]]}", "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],\"edges\":[[0,1,31],[0,2,53],[0,5,19],[1,3,39],[1,4,62],[1,5,5],[2,3,58],[2,5,49],[3,5,95]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)\",\"Add (0,5)\",\"Add (1,3)\",\"Add (2,5)\",\"Add (1,4)\"],\"Answer\":174}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,31],[0,2,53],[0,5,19],[1,3,39],[1,4,62],[1,5,5],[2,3,58],[2,5,49],[3,5,95]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)=5, w=5\",\"Add (0,5)=19, w=24\",\"Add (1,3)=39, w=63\",\"Add (2,5)=49, w=112\",\"Add (1,4)=62, w=174\"],\"Answer\":174}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,31],[0,2,53],[0,5,19],[1,3,39],[1,4,62],[1,5,5],[2,3,58],[2,5,49],[3,5,95]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)=5 Succeeded, w=5\",\"Add (0,5)=19 Succeeded, w=24\",\"Add (0,1)=31 Failed, w=24\",\"Add (1,3)=39 Succeeded, w=63\",\"Add (2,5)=49 Succeeded, w=112\",\"Add (0,2)=53 Failed, w=112\",\"Add (2,3)=58 Failed, w=112\",\"Add (1,4)=62 Succeeded, w=174\",\"Add (3,5)=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],\"edges\":[[0,1,31],[0,2,53],[0,5,19],[1,3,39],[1,4,62],[1,5,5],[2,3,58],[2,5,49],[3,5,95]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,5)=5,(0,5)=19,(0,1)=31,(1,3)=39,(2,5)=49,(0,2)=53,(2,3)=58,(1,4)=62,(3,5)=95]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=5 Succeeded, w=5\",\"Find(0)=0, Find(5)=1, Add (0,5)=19 Succeeded, w=24\",\"Find(0)=1, Find(1)=1, Add (0,1)=31 Failed, w=24\",\"Find(1)=1, Find(3)=3, Add (1,3)=39 Succeeded, w=63\",\"Find(2)=2, Find(5)=1, Add (2,5)=49 Succeeded, w=112\",\"Find(0)=1, Find(2)=1, Add (0,2)=53 Failed, w=112\",\"Find(2)=1, Find(3)=1, Add (2,3)=58 Failed, w=112\",\"Find(1)=1, Find(4)=4, Add (1,4)=62 Succeeded, w=174\",\"Find(3)=1, Find(5)=1, Add (3,5)=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],\"edges\":[[0,1,31],[0,2,53],[0,5,19],[1,3,39],[1,4,62],[1,5,5],[2,3,58],[2,5,49],[3,5,95]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,5)=5,(0,5)=19,(0,1)=31,(1,3)=39,(2,5)=49,(0,2)=53,(2,3)=58,(1,4)=62,(3,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=5 Succeeded, w=5\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=19 Succeeded, w=24\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=31 Failed, w=24\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1}, Find(1)=1, Find(3)=3, Add (1,3)=39 Succeeded, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(2)=2, Find(5)=1, Add (2,5)=49 Succeeded, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=53 Failed, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=58 Failed, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=4, Add (1,4)=62 Succeeded, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=95 Failed, w=174\"],\"Answer\":174}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,47],[1,3,31]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,47],[1,3,31]]}", "role": "user" }, { "content": "{\"Answer\":78}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,47],[1,3,31]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":78}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,47],[1,3,31]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=31, w=31\",\"Add (0,3)=47, w=78\"],\"Answer\":78}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,47],[1,3,31]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=31 Succeeded, w=31\",\"Add (0,3)=47 Succeeded, w=78\"],\"Answer\":78}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,47],[1,3,31]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=31,(0,3)=47]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=31\",\"Find(0)=0, Find(3)=1, Add (0,3)=47 Succeeded, w=78\"],\"Answer\":78}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,47],[1,3,31]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=31,(0,3)=47]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=31\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=47 Succeeded, w=78\"],\"Answer\":78}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,76],[0,2,98],[0,3,56],[0,4,57],[0,5,37],[0,6,28],[1,2,85],[1,3,92],[1,4,92],[1,5,42],[1,6,89],[2,3,75],[2,4,38],[2,5,4],[2,6,58],[3,4,92],[3,5,22],[3,6,12],[4,5,19],[4,6,36],[5,6,24]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,98],[0,3,56],[0,4,57],[0,5,37],[0,6,28],[1,2,85],[1,3,92],[1,4,92],[1,5,42],[1,6,89],[2,3,75],[2,4,38],[2,5,4],[2,6,58],[3,4,92],[3,5,22],[3,6,12],[4,5,19],[4,6,36],[5,6,24]]}", "role": "user" }, { "content": "{\"Answer\":127}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,98],[0,3,56],[0,4,57],[0,5,37],[0,6,28],[1,2,85],[1,3,92],[1,4,92],[1,5,42],[1,6,89],[2,3,75],[2,4,38],[2,5,4],[2,6,58],[3,4,92],[3,5,22],[3,6,12],[4,5,19],[4,6,36],[5,6,24]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)\",\"Add (3,6)\",\"Add (4,5)\",\"Add (3,5)\",\"Add (0,6)\",\"Add (1,5)\"],\"Answer\":127}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,98],[0,3,56],[0,4,57],[0,5,37],[0,6,28],[1,2,85],[1,3,92],[1,4,92],[1,5,42],[1,6,89],[2,3,75],[2,4,38],[2,5,4],[2,6,58],[3,4,92],[3,5,22],[3,6,12],[4,5,19],[4,6,36],[5,6,24]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=4, w=4\",\"Add (3,6)=12, w=16\",\"Add (4,5)=19, w=35\",\"Add (3,5)=22, w=57\",\"Add (0,6)=28, w=85\",\"Add (1,5)=42, w=127\"],\"Answer\":127}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,98],[0,3,56],[0,4,57],[0,5,37],[0,6,28],[1,2,85],[1,3,92],[1,4,92],[1,5,42],[1,6,89],[2,3,75],[2,4,38],[2,5,4],[2,6,58],[3,4,92],[3,5,22],[3,6,12],[4,5,19],[4,6,36],[5,6,24]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=4 Succeeded, w=4\",\"Add (3,6)=12 Succeeded, w=16\",\"Add (4,5)=19 Succeeded, w=35\",\"Add (3,5)=22 Succeeded, w=57\",\"Add (5,6)=24 Failed, w=57\",\"Add (0,6)=28 Succeeded, w=85\",\"Add (4,6)=36 Failed, w=85\",\"Add (0,5)=37 Failed, w=85\",\"Add (2,4)=38 Failed, w=85\",\"Add (1,5)=42 Succeeded, w=127\",\"Add (0,3)=56 Failed, w=127\",\"Add (0,4)=57 Failed, w=127\",\"Add (2,6)=58 Failed, w=127\",\"Add (2,3)=75 Failed, w=127\",\"Add (0,1)=76 Failed, w=127\",\"Add (1,2)=85 Failed, w=127\",\"Add (1,6)=89 Failed, w=127\",\"Add (1,3)=92 Failed, w=127\",\"Add (1,4)=92 Failed, w=127\",\"Add (3,4)=92 Failed, w=127\",\"Add (0,2)=98 Failed, w=127\"],\"Answer\":127}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,98],[0,3,56],[0,4,57],[0,5,37],[0,6,28],[1,2,85],[1,3,92],[1,4,92],[1,5,42],[1,6,89],[2,3,75],[2,4,38],[2,5,4],[2,6,58],[3,4,92],[3,5,22],[3,6,12],[4,5,19],[4,6,36],[5,6,24]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=4,(3,6)=12,(4,5)=19,(3,5)=22,(5,6)=24,(0,6)=28,(4,6)=36,(0,5)=37,(2,4)=38,(1,5)=42,(0,3)=56,(0,4)=57,(2,6)=58,(2,3)=75,(0,1)=76,(1,2)=85,(1,6)=89,(1,3)=92,(1,4)=92,(3,4)=92,(0,2)=98]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=4\",\"Find(3)=3, Find(6)=6, Add (3,6)=12 Succeeded, w=16\",\"Find(4)=4, Find(5)=2, Add (4,5)=19 Succeeded, w=35\",\"Find(3)=3, Find(5)=2, Add (3,5)=22 Succeeded, w=57\",\"Find(5)=3, Find(6)=3, Add (5,6)=24 Failed, w=57\",\"Find(0)=0, Find(6)=3, Add (0,6)=28 Succeeded, w=85\",\"Find(4)=3, Find(6)=3, Add (4,6)=36 Failed, w=85\",\"Find(0)=3, Find(5)=3, Add (0,5)=37 Failed, w=85\",\"Find(2)=3, Find(4)=3, Add (2,4)=38 Failed, w=85\",\"Find(1)=1, Find(5)=3, Add (1,5)=42 Succeeded, w=127\",\"Find(0)=3, Find(3)=3, Add (0,3)=56 Failed, w=127\",\"Find(0)=3, Find(4)=3, Add (0,4)=57 Failed, w=127\",\"Find(2)=3, Find(6)=3, Add (2,6)=58 Failed, w=127\",\"Find(2)=3, Find(3)=3, Add (2,3)=75 Failed, w=127\",\"Find(0)=3, Find(1)=3, Add (0,1)=76 Failed, w=127\",\"Find(1)=3, Find(2)=3, Add (1,2)=85 Failed, w=127\",\"Find(1)=3, Find(6)=3, Add (1,6)=89 Failed, w=127\",\"Find(1)=3, Find(3)=3, Add (1,3)=92 Failed, w=127\",\"Find(1)=3, Find(4)=3, Add (1,4)=92 Failed, w=127\",\"Find(3)=3, Find(4)=3, Add (3,4)=92 Failed, w=127\",\"Find(0)=3, Find(2)=3, Add (0,2)=98 Failed, w=127\"],\"Answer\":127}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,98],[0,3,56],[0,4,57],[0,5,37],[0,6,28],[1,2,85],[1,3,92],[1,4,92],[1,5,42],[1,6,89],[2,3,75],[2,4,38],[2,5,4],[2,6,58],[3,4,92],[3,5,22],[3,6,12],[4,5,19],[4,6,36],[5,6,24]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=4,(3,6)=12,(4,5)=19,(3,5)=22,(5,6)=24,(0,6)=28,(4,6)=36,(0,5)=37,(2,4)=38,(1,5)=42,(0,3)=56,(0,4)=57,(2,6)=58,(2,3)=75,(0,1)=76,(1,2)=85,(1,6)=89,(1,3)=92,(1,4)=92,(3,4)=92,(0,2)=98]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=12 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 3}, Find(4)=4, Find(5)=2, Add (4,5)=19 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 2, 5: 2, 6: 3}, Find(3)=3, Find(5)=2, Add (3,5)=22 Succeeded, w=57\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=24 Failed, w=57\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3}, Find(0)=0, Find(6)=3, Add (0,6)=28 Succeeded, w=85\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=36 Failed, w=85\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=37 Failed, w=85\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=38 Failed, w=85\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=1, Find(5)=3, Add (1,5)=42 Succeeded, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=56 Failed, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=57 Failed, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=58 Failed, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=75 Failed, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=76 Failed, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=85 Failed, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=89 Failed, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=92 Failed, w=127\",\"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=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(4)=3, Add (3,4)=92 Failed, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=98 Failed, w=127\"],\"Answer\":127}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,44],[0,2,51],[0,3,48],[0,4,62],[1,2,64],[1,3,62],[1,4,5],[2,3,53],[2,4,68],[3,4,37]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,44],[0,2,51],[0,3,48],[0,4,62],[1,2,64],[1,3,62],[1,4,5],[2,3,53],[2,4,68],[3,4,37]]}", "role": "user" }, { "content": "{\"Answer\":137}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,44],[0,2,51],[0,3,48],[0,4,62],[1,2,64],[1,3,62],[1,4,5],[2,3,53],[2,4,68],[3,4,37]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":137}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,44],[0,2,51],[0,3,48],[0,4,62],[1,2,64],[1,3,62],[1,4,5],[2,3,53],[2,4,68],[3,4,37]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=5, w=5\",\"Add (3,4)=37, w=42\",\"Add (0,1)=44, w=86\",\"Add (0,2)=51, w=137\"],\"Answer\":137}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,44],[0,2,51],[0,3,48],[0,4,62],[1,2,64],[1,3,62],[1,4,5],[2,3,53],[2,4,68],[3,4,37]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=5 Succeeded, w=5\",\"Add (3,4)=37 Succeeded, w=42\",\"Add (0,1)=44 Succeeded, w=86\",\"Add (0,3)=48 Failed, w=86\",\"Add (0,2)=51 Succeeded, w=137\",\"Add (2,3)=53 Failed, w=137\",\"Add (0,4)=62 Failed, w=137\",\"Add (1,3)=62 Failed, w=137\",\"Add (1,2)=64 Failed, w=137\",\"Add (2,4)=68 Failed, w=137\"],\"Answer\":137}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,44],[0,2,51],[0,3,48],[0,4,62],[1,2,64],[1,3,62],[1,4,5],[2,3,53],[2,4,68],[3,4,37]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=5,(3,4)=37,(0,1)=44,(0,3)=48,(0,2)=51,(2,3)=53,(0,4)=62,(1,3)=62,(1,2)=64,(2,4)=68]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Find(3)=3, Find(4)=1, Add (3,4)=37 Succeeded, w=42\",\"Find(0)=0, Find(1)=1, Add (0,1)=44 Succeeded, w=86\",\"Find(0)=1, Find(3)=1, Add (0,3)=48 Failed, w=86\",\"Find(0)=1, Find(2)=2, Add (0,2)=51 Succeeded, w=137\",\"Find(2)=1, Find(3)=1, Add (2,3)=53 Failed, w=137\",\"Find(0)=1, Find(4)=1, Add (0,4)=62 Failed, w=137\",\"Find(1)=1, Find(3)=1, Add (1,3)=62 Failed, w=137\",\"Find(1)=1, Find(2)=1, Add (1,2)=64 Failed, w=137\",\"Find(2)=1, Find(4)=1, Add (2,4)=68 Failed, w=137\"],\"Answer\":137}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,44],[0,2,51],[0,3,48],[0,4,62],[1,2,64],[1,3,62],[1,4,5],[2,3,53],[2,4,68],[3,4,37]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=5,(3,4)=37,(0,1)=44,(0,3)=48,(0,2)=51,(2,3)=53,(0,4)=62,(1,3)=62,(1,2)=64,(2,4)=68]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=3, Find(4)=1, Add (3,4)=37 Succeeded, w=42\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=44 Succeeded, w=86\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=48 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=2, Add (0,2)=51 Succeeded, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=53 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=62 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=62 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=64 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=68 Failed, w=137\"],\"Answer\":137}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,34],[0,2,8],[0,3,44],[0,4,68],[0,5,1],[0,6,21],[1,2,23],[1,3,98],[1,4,50],[1,5,51],[1,6,45],[2,3,73],[2,4,69],[2,5,73],[2,6,40],[3,4,63],[3,5,85],[3,6,40],[4,5,95],[4,6,17]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,34],[0,2,8],[0,3,44],[0,4,68],[0,5,1],[0,6,21],[1,2,23],[1,3,98],[1,4,50],[1,5,51],[1,6,45],[2,3,73],[2,4,69],[2,5,73],[2,6,40],[3,4,63],[3,5,85],[3,6,40],[4,5,95],[4,6,17]]}", "role": "user" }, { "content": "{\"Answer\":110}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,34],[0,2,8],[0,3,44],[0,4,68],[0,5,1],[0,6,21],[1,2,23],[1,3,98],[1,4,50],[1,5,51],[1,6,45],[2,3,73],[2,4,69],[2,5,73],[2,6,40],[3,4,63],[3,5,85],[3,6,40],[4,5,95],[4,6,17]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)\",\"Add (0,2)\",\"Add (4,6)\",\"Add (0,6)\",\"Add (1,2)\",\"Add (3,6)\"],\"Answer\":110}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,34],[0,2,8],[0,3,44],[0,4,68],[0,5,1],[0,6,21],[1,2,23],[1,3,98],[1,4,50],[1,5,51],[1,6,45],[2,3,73],[2,4,69],[2,5,73],[2,6,40],[3,4,63],[3,5,85],[3,6,40],[4,5,95],[4,6,17]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)=1, w=1\",\"Add (0,2)=8, w=9\",\"Add (4,6)=17, w=26\",\"Add (0,6)=21, w=47\",\"Add (1,2)=23, w=70\",\"Add (3,6)=40, w=110\"],\"Answer\":110}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,34],[0,2,8],[0,3,44],[0,4,68],[0,5,1],[0,6,21],[1,2,23],[1,3,98],[1,4,50],[1,5,51],[1,6,45],[2,3,73],[2,4,69],[2,5,73],[2,6,40],[3,4,63],[3,5,85],[3,6,40],[4,5,95],[4,6,17]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)=1 Succeeded, w=1\",\"Add (0,2)=8 Succeeded, w=9\",\"Add (4,6)=17 Succeeded, w=26\",\"Add (0,6)=21 Succeeded, w=47\",\"Add (1,2)=23 Succeeded, w=70\",\"Add (0,1)=34 Failed, w=70\",\"Add (2,6)=40 Failed, w=70\",\"Add (3,6)=40 Succeeded, w=110\",\"Add (0,3)=44 Failed, w=110\",\"Add (1,6)=45 Failed, w=110\",\"Add (1,4)=50 Failed, w=110\",\"Add (1,5)=51 Failed, w=110\",\"Add (3,4)=63 Failed, w=110\",\"Add (0,4)=68 Failed, w=110\",\"Add (2,4)=69 Failed, w=110\",\"Add (2,3)=73 Failed, w=110\",\"Add (2,5)=73 Failed, w=110\",\"Add (3,5)=85 Failed, w=110\",\"Add (4,5)=95 Failed, w=110\",\"Add (1,3)=98 Failed, w=110\"],\"Answer\":110}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,34],[0,2,8],[0,3,44],[0,4,68],[0,5,1],[0,6,21],[1,2,23],[1,3,98],[1,4,50],[1,5,51],[1,6,45],[2,3,73],[2,4,69],[2,5,73],[2,6,40],[3,4,63],[3,5,85],[3,6,40],[4,5,95],[4,6,17]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,5)=1,(0,2)=8,(4,6)=17,(0,6)=21,(1,2)=23,(0,1)=34,(2,6)=40,(3,6)=40,(0,3)=44,(1,6)=45,(1,4)=50,(1,5)=51,(3,4)=63,(0,4)=68,(2,4)=69,(2,3)=73,(2,5)=73,(3,5)=85,(4,5)=95,(1,3)=98]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=9\",\"Find(4)=4, Find(6)=6, Add (4,6)=17 Succeeded, w=26\",\"Find(0)=0, Find(6)=4, Add (0,6)=21 Succeeded, w=47\",\"Find(1)=1, Find(2)=0, Add (1,2)=23 Succeeded, w=70\",\"Find(0)=0, Find(1)=0, Add (0,1)=34 Failed, w=70\",\"Find(2)=0, Find(6)=0, Add (2,6)=40 Failed, w=70\",\"Find(3)=3, Find(6)=0, Add (3,6)=40 Succeeded, w=110\",\"Find(0)=0, Find(3)=0, Add (0,3)=44 Failed, w=110\",\"Find(1)=0, Find(6)=0, Add (1,6)=45 Failed, w=110\",\"Find(1)=0, Find(4)=0, Add (1,4)=50 Failed, w=110\",\"Find(1)=0, Find(5)=0, Add (1,5)=51 Failed, w=110\",\"Find(3)=0, Find(4)=0, Add (3,4)=63 Failed, w=110\",\"Find(0)=0, Find(4)=0, Add (0,4)=68 Failed, w=110\",\"Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=110\",\"Find(2)=0, Find(3)=0, Add (2,3)=73 Failed, w=110\",\"Find(2)=0, Find(5)=0, Add (2,5)=73 Failed, w=110\",\"Find(3)=0, Find(5)=0, Add (3,5)=85 Failed, w=110\",\"Find(4)=0, Find(5)=0, Add (4,5)=95 Failed, w=110\",\"Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=110\"],\"Answer\":110}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,34],[0,2,8],[0,3,44],[0,4,68],[0,5,1],[0,6,21],[1,2,23],[1,3,98],[1,4,50],[1,5,51],[1,6,45],[2,3,73],[2,4,69],[2,5,73],[2,6,40],[3,4,63],[3,5,85],[3,6,40],[4,5,95],[4,6,17]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,5)=1,(0,2)=8,(4,6)=17,(0,6)=21,(1,2)=23,(0,1)=34,(2,6)=40,(3,6)=40,(0,3)=44,(1,6)=45,(1,4)=50,(1,5)=51,(3,4)=63,(0,4)=68,(2,4)=69,(2,3)=73,(2,5)=73,(3,5)=85,(4,5)=95,(1,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=17 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 4}, Find(0)=0, Find(6)=4, Add (0,6)=21 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 4}, Find(1)=1, Find(2)=0, Add (1,2)=23 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 4}, Find(0)=0, Find(1)=0, Add (0,1)=34 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=40 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=3, Find(6)=0, Add (3,6)=40 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=44 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=45 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=50 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=51 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=63 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=68 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=73 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=73 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=85 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=95 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=110\"],\"Answer\":110}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,26],[0,3,35],[0,4,39],[1,2,78],[1,3,64],[2,3,11],[2,4,1],[2,5,87],[3,4,75],[4,5,8]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,3,35],[0,4,39],[1,2,78],[1,3,64],[2,3,11],[2,4,1],[2,5,87],[3,4,75],[4,5,8]]}", "role": "user" }, { "content": "{\"Answer\":81}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,3,35],[0,4,39],[1,2,78],[1,3,64],[2,3,11],[2,4,1],[2,5,87],[3,4,75],[4,5,8]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)\",\"Add (4,5)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":81}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,3,35],[0,4,39],[1,2,78],[1,3,64],[2,3,11],[2,4,1],[2,5,87],[3,4,75],[4,5,8]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (4,5)=8, w=9\",\"Add (2,3)=11, w=20\",\"Add (0,1)=26, w=46\",\"Add (0,3)=35, w=81\"],\"Answer\":81}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,3,35],[0,4,39],[1,2,78],[1,3,64],[2,3,11],[2,4,1],[2,5,87],[3,4,75],[4,5,8]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (4,5)=8 Succeeded, w=9\",\"Add (2,3)=11 Succeeded, w=20\",\"Add (0,1)=26 Succeeded, w=46\",\"Add (0,3)=35 Succeeded, w=81\",\"Add (0,4)=39 Failed, w=81\",\"Add (1,3)=64 Failed, w=81\",\"Add (3,4)=75 Failed, w=81\",\"Add (1,2)=78 Failed, w=81\",\"Add (2,5)=87 Failed, w=81\"],\"Answer\":81}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,3,35],[0,4,39],[1,2,78],[1,3,64],[2,3,11],[2,4,1],[2,5,87],[3,4,75],[4,5,8]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=1,(4,5)=8,(2,3)=11,(0,1)=26,(0,3)=35,(0,4)=39,(1,3)=64,(3,4)=75,(1,2)=78,(2,5)=87]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(4)=2, Find(5)=5, Add (4,5)=8 Succeeded, w=9\",\"Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=20\",\"Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=46\",\"Find(0)=0, Find(3)=2, Add (0,3)=35 Succeeded, w=81\",\"Find(0)=0, Find(4)=0, Add (0,4)=39 Failed, w=81\",\"Find(1)=0, Find(3)=0, Add (1,3)=64 Failed, w=81\",\"Find(3)=0, Find(4)=0, Add (3,4)=75 Failed, w=81\",\"Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=81\",\"Find(2)=0, Find(5)=0, Add (2,5)=87 Failed, w=81\"],\"Answer\":81}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,3,35],[0,4,39],[1,2,78],[1,3,64],[2,3,11],[2,4,1],[2,5,87],[3,4,75],[4,5,8]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=1,(4,5)=8,(2,3)=11,(0,1)=26,(0,3)=35,(0,4)=39,(1,3)=64,(3,4)=75,(1,2)=78,(2,5)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(4)=2, Find(5)=5, Add (4,5)=8 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(3)=2, Add (0,3)=35 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 2}, Find(0)=0, Find(4)=0, Add (0,4)=39 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(1)=0, Find(3)=0, Add (1,3)=64 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(3)=0, Find(4)=0, Add (3,4)=75 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=87 Failed, w=81\"],\"Answer\":81}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,59],[0,3,1],[0,5,92],[0,6,67],[1,5,79],[2,3,54],[2,5,50],[2,6,77],[3,4,88],[3,5,99],[3,6,36],[4,5,30],[4,6,48]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,59],[0,3,1],[0,5,92],[0,6,67],[1,5,79],[2,3,54],[2,5,50],[2,6,77],[3,4,88],[3,5,99],[3,6,36],[4,5,30],[4,6,48]]}", "role": "user" }, { "content": "{\"Answer\":224}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,59],[0,3,1],[0,5,92],[0,6,67],[1,5,79],[2,3,54],[2,5,50],[2,6,77],[3,4,88],[3,5,99],[3,6,36],[4,5,30],[4,6,48]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (4,5)\",\"Add (3,6)\",\"Add (4,6)\",\"Add (2,5)\",\"Add (0,1)\"],\"Answer\":224}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,59],[0,3,1],[0,5,92],[0,6,67],[1,5,79],[2,3,54],[2,5,50],[2,6,77],[3,4,88],[3,5,99],[3,6,36],[4,5,30],[4,6,48]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=1, w=1\",\"Add (4,5)=30, w=31\",\"Add (3,6)=36, w=67\",\"Add (4,6)=48, w=115\",\"Add (2,5)=50, w=165\",\"Add (0,1)=59, w=224\"],\"Answer\":224}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,59],[0,3,1],[0,5,92],[0,6,67],[1,5,79],[2,3,54],[2,5,50],[2,6,77],[3,4,88],[3,5,99],[3,6,36],[4,5,30],[4,6,48]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=1 Succeeded, w=1\",\"Add (4,5)=30 Succeeded, w=31\",\"Add (3,6)=36 Succeeded, w=67\",\"Add (4,6)=48 Succeeded, w=115\",\"Add (2,5)=50 Succeeded, w=165\",\"Add (2,3)=54 Failed, w=165\",\"Add (0,1)=59 Succeeded, w=224\",\"Add (0,6)=67 Failed, w=224\",\"Add (2,6)=77 Failed, w=224\",\"Add (1,5)=79 Failed, w=224\",\"Add (3,4)=88 Failed, w=224\",\"Add (0,5)=92 Failed, w=224\",\"Add (3,5)=99 Failed, w=224\"],\"Answer\":224}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,59],[0,3,1],[0,5,92],[0,6,67],[1,5,79],[2,3,54],[2,5,50],[2,6,77],[3,4,88],[3,5,99],[3,6,36],[4,5,30],[4,6,48]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=1,(4,5)=30,(3,6)=36,(4,6)=48,(2,5)=50,(2,3)=54,(0,1)=59,(0,6)=67,(2,6)=77,(1,5)=79,(3,4)=88,(0,5)=92,(3,5)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Find(4)=4, Find(5)=5, Add (4,5)=30 Succeeded, w=31\",\"Find(3)=0, Find(6)=6, Add (3,6)=36 Succeeded, w=67\",\"Find(4)=4, Find(6)=0, Add (4,6)=48 Succeeded, w=115\",\"Find(2)=2, Find(5)=4, Add (2,5)=50 Succeeded, w=165\",\"Find(2)=4, Find(3)=4, Add (2,3)=54 Failed, w=165\",\"Find(0)=4, Find(1)=1, Add (0,1)=59 Succeeded, w=224\",\"Find(0)=4, Find(6)=4, Add (0,6)=67 Failed, w=224\",\"Find(2)=4, Find(6)=4, Add (2,6)=77 Failed, w=224\",\"Find(1)=4, Find(5)=4, Add (1,5)=79 Failed, w=224\",\"Find(3)=4, Find(4)=4, Add (3,4)=88 Failed, w=224\",\"Find(0)=4, Find(5)=4, Add (0,5)=92 Failed, w=224\",\"Find(3)=4, Find(5)=4, Add (3,5)=99 Failed, w=224\"],\"Answer\":224}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,59],[0,3,1],[0,5,92],[0,6,67],[1,5,79],[2,3,54],[2,5,50],[2,6,77],[3,4,88],[3,5,99],[3,6,36],[4,5,30],[4,6,48]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=1,(4,5)=30,(3,6)=36,(4,6)=48,(2,5)=50,(2,3)=54,(0,1)=59,(0,6)=67,(2,6)=77,(1,5)=79,(3,4)=88,(0,5)=92,(3,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=30 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 0}, Find(3)=0, Find(6)=6, Add (3,6)=36 Succeeded, w=67\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=48 Succeeded, w=115\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 0, 4: 4, 5: 4, 6: 0}, Find(2)=2, Find(5)=4, Add (2,5)=50 Succeeded, w=165\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 0}, Find(2)=4, Find(3)=4, Add (2,3)=54 Failed, w=165\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 0}, Find(0)=4, Find(1)=1, Add (0,1)=59 Succeeded, w=224\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(6)=4, Add (0,6)=67 Failed, w=224\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(6)=4, Add (2,6)=77 Failed, w=224\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(5)=4, Add (1,5)=79 Failed, w=224\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(4)=4, Add (3,4)=88 Failed, w=224\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(5)=4, Add (0,5)=92 Failed, w=224\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(5)=4, Add (3,5)=99 Failed, w=224\"],\"Answer\":224}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,48],[0,2,47],[0,3,95],[1,2,45],[1,3,19],[2,3,56]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,47],[0,3,95],[1,2,45],[1,3,19],[2,3,56]]}", "role": "user" }, { "content": "{\"Answer\":111}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,47],[0,3,95],[1,2,45],[1,3,19],[2,3,56]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":111}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,47],[0,3,95],[1,2,45],[1,3,19],[2,3,56]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=19, w=19\",\"Add (1,2)=45, w=64\",\"Add (0,2)=47, w=111\"],\"Answer\":111}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,47],[0,3,95],[1,2,45],[1,3,19],[2,3,56]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=19 Succeeded, w=19\",\"Add (1,2)=45 Succeeded, w=64\",\"Add (0,2)=47 Succeeded, w=111\",\"Add (0,1)=48 Failed, w=111\",\"Add (2,3)=56 Failed, w=111\",\"Add (0,3)=95 Failed, w=111\"],\"Answer\":111}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,47],[0,3,95],[1,2,45],[1,3,19],[2,3,56]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=19,(1,2)=45,(0,2)=47,(0,1)=48,(2,3)=56,(0,3)=95]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=19\",\"Find(1)=1, Find(2)=2, Add (1,2)=45 Succeeded, w=64\",\"Find(0)=0, Find(2)=1, Add (0,2)=47 Succeeded, w=111\",\"Find(0)=1, Find(1)=1, Add (0,1)=48 Failed, w=111\",\"Find(2)=1, Find(3)=1, Add (2,3)=56 Failed, w=111\",\"Find(0)=1, Find(3)=1, Add (0,3)=95 Failed, w=111\"],\"Answer\":111}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,47],[0,3,95],[1,2,45],[1,3,19],[2,3,56]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=19,(1,2)=45,(0,2)=47,(0,1)=48,(2,3)=56,(0,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=45 Succeeded, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=47 Succeeded, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=48 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=56 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=95 Failed, w=111\"],\"Answer\":111}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,26],[0,2,20],[0,3,74],[0,4,29],[2,3,77],[3,5,21],[4,5,27]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,20],[0,3,74],[0,4,29],[2,3,77],[3,5,21],[4,5,27]]}", "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\":[[0,1,26],[0,2,20],[0,3,74],[0,4,29],[2,3,77],[3,5,21],[4,5,27]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (3,5)\",\"Add (0,1)\",\"Add (4,5)\",\"Add (0,4)\"],\"Answer\":123}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,20],[0,3,74],[0,4,29],[2,3,77],[3,5,21],[4,5,27]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=20, w=20\",\"Add (3,5)=21, w=41\",\"Add (0,1)=26, w=67\",\"Add (4,5)=27, w=94\",\"Add (0,4)=29, 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\":[[0,1,26],[0,2,20],[0,3,74],[0,4,29],[2,3,77],[3,5,21],[4,5,27]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=20 Succeeded, w=20\",\"Add (3,5)=21 Succeeded, w=41\",\"Add (0,1)=26 Succeeded, w=67\",\"Add (4,5)=27 Succeeded, w=94\",\"Add (0,4)=29 Succeeded, w=123\",\"Add (0,3)=74 Failed, w=123\",\"Add (2,3)=77 Failed, w=123\"],\"Answer\":123}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,20],[0,3,74],[0,4,29],[2,3,77],[3,5,21],[4,5,27]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=20,(3,5)=21,(0,1)=26,(4,5)=27,(0,4)=29,(0,3)=74,(2,3)=77]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=20\",\"Find(3)=3, Find(5)=5, Add (3,5)=21 Succeeded, w=41\",\"Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=67\",\"Find(4)=4, Find(5)=3, Add (4,5)=27 Succeeded, w=94\",\"Find(0)=0, Find(4)=3, Add (0,4)=29 Succeeded, w=123\",\"Find(0)=0, Find(3)=0, Add (0,3)=74 Failed, w=123\",\"Find(2)=0, Find(3)=0, Add (2,3)=77 Failed, w=123\"],\"Answer\":123}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,20],[0,3,74],[0,4,29],[2,3,77],[3,5,21],[4,5,27]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=20,(3,5)=21,(0,1)=26,(4,5)=27,(0,4)=29,(0,3)=74,(2,3)=77]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=21 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 3}, Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 3}, Find(4)=4, Find(5)=3, Add (4,5)=27 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 3}, Find(0)=0, Find(4)=3, Add (0,4)=29 Succeeded, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 3}, Find(0)=0, Find(3)=0, Add (0,3)=74 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 3}, Find(2)=0, Find(3)=0, Add (2,3)=77 Failed, w=123\"],\"Answer\":123}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,92],[0,2,6],[0,3,73],[0,4,39],[1,3,93],[1,4,51],[2,3,60],[2,4,67],[3,4,62]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,6],[0,3,73],[0,4,39],[1,3,93],[1,4,51],[2,3,60],[2,4,67],[3,4,62]]}", "role": "user" }, { "content": "{\"Answer\":156}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,6],[0,3,73],[0,4,39],[1,3,93],[1,4,51],[2,3,60],[2,4,67],[3,4,62]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (0,4)\",\"Add (1,4)\",\"Add (2,3)\"],\"Answer\":156}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,6],[0,3,73],[0,4,39],[1,3,93],[1,4,51],[2,3,60],[2,4,67],[3,4,62]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=6, w=6\",\"Add (0,4)=39, w=45\",\"Add (1,4)=51, w=96\",\"Add (2,3)=60, w=156\"],\"Answer\":156}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,6],[0,3,73],[0,4,39],[1,3,93],[1,4,51],[2,3,60],[2,4,67],[3,4,62]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=6 Succeeded, w=6\",\"Add (0,4)=39 Succeeded, w=45\",\"Add (1,4)=51 Succeeded, w=96\",\"Add (2,3)=60 Succeeded, w=156\",\"Add (3,4)=62 Failed, w=156\",\"Add (2,4)=67 Failed, w=156\",\"Add (0,3)=73 Failed, w=156\",\"Add (0,1)=92 Failed, w=156\",\"Add (1,3)=93 Failed, w=156\"],\"Answer\":156}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,6],[0,3,73],[0,4,39],[1,3,93],[1,4,51],[2,3,60],[2,4,67],[3,4,62]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=6,(0,4)=39,(1,4)=51,(2,3)=60,(3,4)=62,(2,4)=67,(0,3)=73,(0,1)=92,(1,3)=93]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Find(0)=0, Find(4)=4, Add (0,4)=39 Succeeded, w=45\",\"Find(1)=1, Find(4)=0, Add (1,4)=51 Succeeded, w=96\",\"Find(2)=0, Find(3)=3, Add (2,3)=60 Succeeded, w=156\",\"Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=156\",\"Find(2)=0, Find(4)=0, Add (2,4)=67 Failed, w=156\",\"Find(0)=0, Find(3)=0, Add (0,3)=73 Failed, w=156\",\"Find(0)=0, Find(1)=0, Add (0,1)=92 Failed, w=156\",\"Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=156\"],\"Answer\":156}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,6],[0,3,73],[0,4,39],[1,3,93],[1,4,51],[2,3,60],[2,4,67],[3,4,62]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=6,(0,4)=39,(1,4)=51,(2,3)=60,(3,4)=62,(2,4)=67,(0,3)=73,(0,1)=92,(1,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=39 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=51 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=3, Add (2,3)=60 Succeeded, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=67 Failed, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=73 Failed, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=92 Failed, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=156\"],\"Answer\":156}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,27],[0,3,14],[1,2,92],[1,3,48]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,27],[0,3,14],[1,2,92],[1,3,48]]}", "role": "user" }, { "content": "{\"Answer\":133}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,27],[0,3,14],[1,2,92],[1,3,48]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":133}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,27],[0,3,14],[1,2,92],[1,3,48]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=14, w=14\",\"Add (0,1)=27, w=41\",\"Add (1,2)=92, w=133\"],\"Answer\":133}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,27],[0,3,14],[1,2,92],[1,3,48]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=14 Succeeded, w=14\",\"Add (0,1)=27 Succeeded, w=41\",\"Add (1,3)=48 Failed, w=41\",\"Add (1,2)=92 Succeeded, w=133\"],\"Answer\":133}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,27],[0,3,14],[1,2,92],[1,3,48]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=14,(0,1)=27,(1,3)=48,(1,2)=92]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=14\",\"Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=41\",\"Find(1)=0, Find(3)=0, Add (1,3)=48 Failed, w=41\",\"Find(1)=0, Find(2)=2, Add (1,2)=92 Succeeded, w=133\"],\"Answer\":133}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,27],[0,3,14],[1,2,92],[1,3,48]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=14,(0,1)=27,(1,3)=48,(1,2)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=48 Failed, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=92 Succeeded, w=133\"],\"Answer\":133}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,27],[0,2,54],[0,3,88],[1,2,53],[2,3,64],[2,4,37],[2,5,96],[3,4,42],[3,6,23],[4,6,77]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,2,54],[0,3,88],[1,2,53],[2,3,64],[2,4,37],[2,5,96],[3,4,42],[3,6,23],[4,6,77]]}", "role": "user" }, { "content": "{\"Answer\":278}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,2,54],[0,3,88],[1,2,53],[2,3,64],[2,4,37],[2,5,96],[3,4,42],[3,6,23],[4,6,77]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (2,5)\"],\"Answer\":278}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,2,54],[0,3,88],[1,2,53],[2,3,64],[2,4,37],[2,5,96],[3,4,42],[3,6,23],[4,6,77]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)=23, w=23\",\"Add (0,1)=27, w=50\",\"Add (2,4)=37, w=87\",\"Add (3,4)=42, w=129\",\"Add (1,2)=53, w=182\",\"Add (2,5)=96, w=278\"],\"Answer\":278}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,2,54],[0,3,88],[1,2,53],[2,3,64],[2,4,37],[2,5,96],[3,4,42],[3,6,23],[4,6,77]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)=23 Succeeded, w=23\",\"Add (0,1)=27 Succeeded, w=50\",\"Add (2,4)=37 Succeeded, w=87\",\"Add (3,4)=42 Succeeded, w=129\",\"Add (1,2)=53 Succeeded, w=182\",\"Add (0,2)=54 Failed, w=182\",\"Add (2,3)=64 Failed, w=182\",\"Add (4,6)=77 Failed, w=182\",\"Add (0,3)=88 Failed, w=182\",\"Add (2,5)=96 Succeeded, w=278\"],\"Answer\":278}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,2,54],[0,3,88],[1,2,53],[2,3,64],[2,4,37],[2,5,96],[3,4,42],[3,6,23],[4,6,77]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,6)=23,(0,1)=27,(2,4)=37,(3,4)=42,(1,2)=53,(0,2)=54,(2,3)=64,(4,6)=77,(0,3)=88,(2,5)=96]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=23 Succeeded, w=23\",\"Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=50\",\"Find(2)=2, Find(4)=4, Add (2,4)=37 Succeeded, w=87\",\"Find(3)=3, Find(4)=2, Add (3,4)=42 Succeeded, w=129\",\"Find(1)=0, Find(2)=3, Add (1,2)=53 Succeeded, w=182\",\"Find(0)=3, Find(2)=3, Add (0,2)=54 Failed, w=182\",\"Find(2)=3, Find(3)=3, Add (2,3)=64 Failed, w=182\",\"Find(4)=3, Find(6)=3, Add (4,6)=77 Failed, w=182\",\"Find(0)=3, Find(3)=3, Add (0,3)=88 Failed, w=182\",\"Find(2)=3, Find(5)=5, Add (2,5)=96 Succeeded, w=278\"],\"Answer\":278}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,2,54],[0,3,88],[1,2,53],[2,3,64],[2,4,37],[2,5,96],[3,4,42],[3,6,23],[4,6,77]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,6)=23,(0,1)=27,(2,4)=37,(3,4)=42,(1,2)=53,(0,2)=54,(2,3)=64,(4,6)=77,(0,3)=88,(2,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 3}, Find(2)=2, Find(4)=4, Add (2,4)=37 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 2, 5: 5, 6: 3}, Find(3)=3, Find(4)=2, Add (3,4)=42 Succeeded, w=129\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 2, 5: 5, 6: 3}, Find(1)=0, Find(2)=3, Add (1,2)=53 Succeeded, w=182\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 2, 5: 5, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=54 Failed, w=182\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 2, 5: 5, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=64 Failed, w=182\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=77 Failed, w=182\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=88 Failed, w=182\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=5, Add (2,5)=96 Succeeded, w=278\"],\"Answer\":278}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,65],[0,2,50],[0,3,72],[1,3,12]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,50],[0,3,72],[1,3,12]]}", "role": "user" }, { "content": "{\"Answer\":127}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,50],[0,3,72],[1,3,12]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":127}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,50],[0,3,72],[1,3,12]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=12, w=12\",\"Add (0,2)=50, w=62\",\"Add (0,1)=65, w=127\"],\"Answer\":127}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,50],[0,3,72],[1,3,12]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=12 Succeeded, w=12\",\"Add (0,2)=50 Succeeded, w=62\",\"Add (0,1)=65 Succeeded, w=127\",\"Add (0,3)=72 Failed, w=127\"],\"Answer\":127}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,50],[0,3,72],[1,3,12]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=12,(0,2)=50,(0,1)=65,(0,3)=72]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=12\",\"Find(0)=0, Find(2)=2, Add (0,2)=50 Succeeded, w=62\",\"Find(0)=0, Find(1)=1, Add (0,1)=65 Succeeded, w=127\",\"Find(0)=0, Find(3)=0, Add (0,3)=72 Failed, w=127\"],\"Answer\":127}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,50],[0,3,72],[1,3,12]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=12,(0,2)=50,(0,1)=65,(0,3)=72]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(0)=0, Find(2)=2, Add (0,2)=50 Succeeded, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=65 Succeeded, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=72 Failed, w=127\"],\"Answer\":127}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,10],[0,2,30],[0,3,60],[1,2,45],[1,3,58],[2,3,13]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,30],[0,3,60],[1,2,45],[1,3,58],[2,3,13]]}", "role": "user" }, { "content": "{\"Answer\":53}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,30],[0,3,60],[1,2,45],[1,3,58],[2,3,13]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":53}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,30],[0,3,60],[1,2,45],[1,3,58],[2,3,13]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=10, w=10\",\"Add (2,3)=13, w=23\",\"Add (0,2)=30, w=53\"],\"Answer\":53}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,30],[0,3,60],[1,2,45],[1,3,58],[2,3,13]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=10 Succeeded, w=10\",\"Add (2,3)=13 Succeeded, w=23\",\"Add (0,2)=30 Succeeded, w=53\",\"Add (1,2)=45 Failed, w=53\",\"Add (1,3)=58 Failed, w=53\",\"Add (0,3)=60 Failed, w=53\"],\"Answer\":53}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,30],[0,3,60],[1,2,45],[1,3,58],[2,3,13]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=10,(2,3)=13,(0,2)=30,(1,2)=45,(1,3)=58,(0,3)=60]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=23\",\"Find(0)=0, Find(2)=2, Add (0,2)=30 Succeeded, w=53\",\"Find(1)=0, Find(2)=0, Add (1,2)=45 Failed, w=53\",\"Find(1)=0, Find(3)=0, Add (1,3)=58 Failed, w=53\",\"Find(0)=0, Find(3)=0, Add (0,3)=60 Failed, w=53\"],\"Answer\":53}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,30],[0,3,60],[1,2,45],[1,3,58],[2,3,13]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=10,(2,3)=13,(0,2)=30,(1,2)=45,(1,3)=58,(0,3)=60]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=30 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(2)=0, Add (1,2)=45 Failed, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=58 Failed, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=60 Failed, w=53\"],\"Answer\":53}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,33],[0,2,47],[0,3,64],[0,4,3],[0,5,79],[1,2,96],[1,3,17],[1,4,81],[1,5,87],[2,3,24],[2,4,83],[2,5,38],[3,4,42],[3,5,81],[4,5,88]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,47],[0,3,64],[0,4,3],[0,5,79],[1,2,96],[1,3,17],[1,4,81],[1,5,87],[2,3,24],[2,4,83],[2,5,38],[3,4,42],[3,5,81],[4,5,88]]}", "role": "user" }, { "content": "{\"Answer\":115}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,47],[0,3,64],[0,4,3],[0,5,79],[1,2,96],[1,3,17],[1,4,81],[1,5,87],[2,3,24],[2,4,83],[2,5,38],[3,4,42],[3,5,81],[4,5,88]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (2,5)\"],\"Answer\":115}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,47],[0,3,64],[0,4,3],[0,5,79],[1,2,96],[1,3,17],[1,4,81],[1,5,87],[2,3,24],[2,4,83],[2,5,38],[3,4,42],[3,5,81],[4,5,88]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)=3, w=3\",\"Add (1,3)=17, w=20\",\"Add (2,3)=24, w=44\",\"Add (0,1)=33, w=77\",\"Add (2,5)=38, w=115\"],\"Answer\":115}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,47],[0,3,64],[0,4,3],[0,5,79],[1,2,96],[1,3,17],[1,4,81],[1,5,87],[2,3,24],[2,4,83],[2,5,38],[3,4,42],[3,5,81],[4,5,88]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)=3 Succeeded, w=3\",\"Add (1,3)=17 Succeeded, w=20\",\"Add (2,3)=24 Succeeded, w=44\",\"Add (0,1)=33 Succeeded, w=77\",\"Add (2,5)=38 Succeeded, w=115\",\"Add (3,4)=42 Failed, w=115\",\"Add (0,2)=47 Failed, w=115\",\"Add (0,3)=64 Failed, w=115\",\"Add (0,5)=79 Failed, w=115\",\"Add (1,4)=81 Failed, w=115\",\"Add (3,5)=81 Failed, w=115\",\"Add (2,4)=83 Failed, w=115\",\"Add (1,5)=87 Failed, w=115\",\"Add (4,5)=88 Failed, w=115\",\"Add (1,2)=96 Failed, w=115\"],\"Answer\":115}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,47],[0,3,64],[0,4,3],[0,5,79],[1,2,96],[1,3,17],[1,4,81],[1,5,87],[2,3,24],[2,4,83],[2,5,38],[3,4,42],[3,5,81],[4,5,88]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,4)=3,(1,3)=17,(2,3)=24,(0,1)=33,(2,5)=38,(3,4)=42,(0,2)=47,(0,3)=64,(0,5)=79,(1,4)=81,(3,5)=81,(2,4)=83,(1,5)=87,(4,5)=88,(1,2)=96]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=20\",\"Find(2)=2, Find(3)=1, Add (2,3)=24 Succeeded, w=44\",\"Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=77\",\"Find(2)=0, Find(5)=5, Add (2,5)=38 Succeeded, w=115\",\"Find(3)=0, Find(4)=0, Add (3,4)=42 Failed, w=115\",\"Find(0)=0, Find(2)=0, Add (0,2)=47 Failed, w=115\",\"Find(0)=0, Find(3)=0, Add (0,3)=64 Failed, w=115\",\"Find(0)=0, Find(5)=0, Add (0,5)=79 Failed, w=115\",\"Find(1)=0, Find(4)=0, Add (1,4)=81 Failed, w=115\",\"Find(3)=0, Find(5)=0, Add (3,5)=81 Failed, w=115\",\"Find(2)=0, Find(4)=0, Add (2,4)=83 Failed, w=115\",\"Find(1)=0, Find(5)=0, Add (1,5)=87 Failed, w=115\",\"Find(4)=0, Find(5)=0, Add (4,5)=88 Failed, w=115\",\"Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=115\"],\"Answer\":115}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,47],[0,3,64],[0,4,3],[0,5,79],[1,2,96],[1,3,17],[1,4,81],[1,5,87],[2,3,24],[2,4,83],[2,5,38],[3,4,42],[3,5,81],[4,5,88]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,4)=3,(1,3)=17,(2,3)=24,(0,1)=33,(2,5)=38,(3,4)=42,(0,2)=47,(0,3)=64,(0,5)=79,(1,4)=81,(3,5)=81,(2,4)=83,(1,5)=87,(4,5)=88,(1,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 5}, Find(2)=2, Find(3)=1, Add (2,3)=24 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0}, Find(2)=0, Find(5)=5, Add (2,5)=38 Succeeded, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=42 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=47 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=64 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=79 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=81 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=81 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=83 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=87 Failed, w=115\",\"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=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=115\"],\"Answer\":115}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,84],[0,2,92],[1,2,64],[1,3,2],[2,3,39]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,92],[1,2,64],[1,3,2],[2,3,39]]}", "role": "user" }, { "content": "{\"Answer\":125}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,92],[1,2,64],[1,3,2],[2,3,39]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":125}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,92],[1,2,64],[1,3,2],[2,3,39]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (2,3)=39, w=41\",\"Add (0,1)=84, w=125\"],\"Answer\":125}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,92],[1,2,64],[1,3,2],[2,3,39]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (2,3)=39 Succeeded, w=41\",\"Add (1,2)=64 Failed, w=41\",\"Add (0,1)=84 Succeeded, w=125\",\"Add (0,2)=92 Failed, w=125\"],\"Answer\":125}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,92],[1,2,64],[1,3,2],[2,3,39]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=2,(2,3)=39,(1,2)=64,(0,1)=84,(0,2)=92]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(2)=2, Find(3)=1, Add (2,3)=39 Succeeded, w=41\",\"Find(1)=1, Find(2)=1, Add (1,2)=64 Failed, w=41\",\"Find(0)=0, Find(1)=1, Add (0,1)=84 Succeeded, w=125\",\"Find(0)=1, Find(2)=1, Add (0,2)=92 Failed, w=125\"],\"Answer\":125}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,92],[1,2,64],[1,3,2],[2,3,39]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=2,(2,3)=39,(1,2)=64,(0,1)=84,(0,2)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=39 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=64 Failed, w=41\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=84 Succeeded, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=92 Failed, w=125\"],\"Answer\":125}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,70],[0,2,36],[0,3,49],[0,4,34],[1,2,1],[1,3,58],[1,4,92],[1,5,46],[2,3,82],[2,4,64],[2,5,83],[3,4,69],[3,5,99],[4,5,33]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,70],[0,2,36],[0,3,49],[0,4,34],[1,2,1],[1,3,58],[1,4,92],[1,5,46],[2,3,82],[2,4,64],[2,5,83],[3,4,69],[3,5,99],[4,5,33]]}", "role": "user" }, { "content": "{\"Answer\":153}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,70],[0,2,36],[0,3,49],[0,4,34],[1,2,1],[1,3,58],[1,4,92],[1,5,46],[2,3,82],[2,4,64],[2,5,83],[3,4,69],[3,5,99],[4,5,33]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (4,5)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":153}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,70],[0,2,36],[0,3,49],[0,4,34],[1,2,1],[1,3,58],[1,4,92],[1,5,46],[2,3,82],[2,4,64],[2,5,83],[3,4,69],[3,5,99],[4,5,33]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (4,5)=33, w=34\",\"Add (0,4)=34, w=68\",\"Add (0,2)=36, w=104\",\"Add (0,3)=49, w=153\"],\"Answer\":153}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,70],[0,2,36],[0,3,49],[0,4,34],[1,2,1],[1,3,58],[1,4,92],[1,5,46],[2,3,82],[2,4,64],[2,5,83],[3,4,69],[3,5,99],[4,5,33]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (4,5)=33 Succeeded, w=34\",\"Add (0,4)=34 Succeeded, w=68\",\"Add (0,2)=36 Succeeded, w=104\",\"Add (1,5)=46 Failed, w=104\",\"Add (0,3)=49 Succeeded, w=153\",\"Add (1,3)=58 Failed, w=153\",\"Add (2,4)=64 Failed, w=153\",\"Add (3,4)=69 Failed, w=153\",\"Add (0,1)=70 Failed, w=153\",\"Add (2,3)=82 Failed, w=153\",\"Add (2,5)=83 Failed, w=153\",\"Add (1,4)=92 Failed, w=153\",\"Add (3,5)=99 Failed, w=153\"],\"Answer\":153}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,70],[0,2,36],[0,3,49],[0,4,34],[1,2,1],[1,3,58],[1,4,92],[1,5,46],[2,3,82],[2,4,64],[2,5,83],[3,4,69],[3,5,99],[4,5,33]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=1,(4,5)=33,(0,4)=34,(0,2)=36,(1,5)=46,(0,3)=49,(1,3)=58,(2,4)=64,(3,4)=69,(0,1)=70,(2,3)=82,(2,5)=83,(1,4)=92,(3,5)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(4)=4, Find(5)=5, Add (4,5)=33 Succeeded, w=34\",\"Find(0)=0, Find(4)=4, Add (0,4)=34 Succeeded, w=68\",\"Find(0)=4, Find(2)=1, Add (0,2)=36 Succeeded, w=104\",\"Find(1)=4, Find(5)=4, Add (1,5)=46 Failed, w=104\",\"Find(0)=4, Find(3)=3, Add (0,3)=49 Succeeded, w=153\",\"Find(1)=4, Find(3)=4, Add (1,3)=58 Failed, w=153\",\"Find(2)=4, Find(4)=4, Add (2,4)=64 Failed, w=153\",\"Find(3)=4, Find(4)=4, Add (3,4)=69 Failed, w=153\",\"Find(0)=4, Find(1)=4, Add (0,1)=70 Failed, w=153\",\"Find(2)=4, Find(3)=4, Add (2,3)=82 Failed, w=153\",\"Find(2)=4, Find(5)=4, Add (2,5)=83 Failed, w=153\",\"Find(1)=4, Find(4)=4, Add (1,4)=92 Failed, w=153\",\"Find(3)=4, Find(5)=4, Add (3,5)=99 Failed, w=153\"],\"Answer\":153}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,70],[0,2,36],[0,3,49],[0,4,34],[1,2,1],[1,3,58],[1,4,92],[1,5,46],[2,3,82],[2,4,64],[2,5,83],[3,4,69],[3,5,99],[4,5,33]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=1,(4,5)=33,(0,4)=34,(0,2)=36,(1,5)=46,(0,3)=49,(1,3)=58,(2,4)=64,(3,4)=69,(0,1)=70,(2,3)=82,(2,5)=83,(1,4)=92,(3,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=33 Succeeded, w=34\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4}, Find(0)=0, Find(4)=4, Add (0,4)=34 Succeeded, w=68\",\"Parent: {0: 4, 1: 4, 2: 1, 3: 3, 4: 4, 5: 4}, Find(0)=4, Find(2)=1, Add (0,2)=36 Succeeded, w=104\",\"Parent: {0: 4, 1: 4, 2: 1, 3: 3, 4: 4, 5: 4}, Find(1)=4, Find(5)=4, Add (1,5)=46 Failed, w=104\",\"Parent: {0: 4, 1: 4, 2: 1, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(3)=3, Add (0,3)=49 Succeeded, w=153\",\"Parent: {0: 4, 1: 4, 2: 1, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(3)=4, Add (1,3)=58 Failed, w=153\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=4, Find(4)=4, Add (2,4)=64 Failed, w=153\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(3)=4, Find(4)=4, Add (3,4)=69 Failed, w=153\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(1)=4, Add (0,1)=70 Failed, w=153\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=4, Find(3)=4, Add (2,3)=82 Failed, w=153\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=4, Find(5)=4, Add (2,5)=83 Failed, w=153\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(4)=4, Add (1,4)=92 Failed, w=153\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(3)=4, Find(5)=4, Add (3,5)=99 Failed, w=153\"],\"Answer\":153}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,83],[0,2,32],[0,3,56],[0,4,34],[0,5,8],[0,6,49],[1,2,33],[1,4,3],[1,5,41],[1,6,30],[2,3,59],[2,4,52],[2,5,26],[2,6,11],[3,4,65],[3,5,35],[4,6,83]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,32],[0,3,56],[0,4,34],[0,5,8],[0,6,49],[1,2,33],[1,4,3],[1,5,41],[1,6,30],[2,3,59],[2,4,52],[2,5,26],[2,6,11],[3,4,65],[3,5,35],[4,6,83]]}", "role": "user" }, { "content": "{\"Answer\":113}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,32],[0,3,56],[0,4,34],[0,5,8],[0,6,49],[1,2,33],[1,4,3],[1,5,41],[1,6,30],[2,3,59],[2,4,52],[2,5,26],[2,6,11],[3,4,65],[3,5,35],[4,6,83]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)\",\"Add (0,5)\",\"Add (2,6)\",\"Add (2,5)\",\"Add (1,6)\",\"Add (3,5)\"],\"Answer\":113}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,32],[0,3,56],[0,4,34],[0,5,8],[0,6,49],[1,2,33],[1,4,3],[1,5,41],[1,6,30],[2,3,59],[2,4,52],[2,5,26],[2,6,11],[3,4,65],[3,5,35],[4,6,83]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=3, w=3\",\"Add (0,5)=8, w=11\",\"Add (2,6)=11, w=22\",\"Add (2,5)=26, w=48\",\"Add (1,6)=30, w=78\",\"Add (3,5)=35, w=113\"],\"Answer\":113}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,32],[0,3,56],[0,4,34],[0,5,8],[0,6,49],[1,2,33],[1,4,3],[1,5,41],[1,6,30],[2,3,59],[2,4,52],[2,5,26],[2,6,11],[3,4,65],[3,5,35],[4,6,83]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=3 Succeeded, w=3\",\"Add (0,5)=8 Succeeded, w=11\",\"Add (2,6)=11 Succeeded, w=22\",\"Add (2,5)=26 Succeeded, w=48\",\"Add (1,6)=30 Succeeded, w=78\",\"Add (0,2)=32 Failed, w=78\",\"Add (1,2)=33 Failed, w=78\",\"Add (0,4)=34 Failed, w=78\",\"Add (3,5)=35 Succeeded, w=113\",\"Add (1,5)=41 Failed, w=113\",\"Add (0,6)=49 Failed, w=113\",\"Add (2,4)=52 Failed, w=113\",\"Add (0,3)=56 Failed, w=113\",\"Add (2,3)=59 Failed, w=113\",\"Add (3,4)=65 Failed, w=113\",\"Add (0,1)=83 Failed, w=113\",\"Add (4,6)=83 Failed, w=113\"],\"Answer\":113}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,32],[0,3,56],[0,4,34],[0,5,8],[0,6,49],[1,2,33],[1,4,3],[1,5,41],[1,6,30],[2,3,59],[2,4,52],[2,5,26],[2,6,11],[3,4,65],[3,5,35],[4,6,83]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=3,(0,5)=8,(2,6)=11,(2,5)=26,(1,6)=30,(0,2)=32,(1,2)=33,(0,4)=34,(3,5)=35,(1,5)=41,(0,6)=49,(2,4)=52,(0,3)=56,(2,3)=59,(3,4)=65,(0,1)=83,(4,6)=83]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=11\",\"Find(2)=2, Find(6)=6, Add (2,6)=11 Succeeded, w=22\",\"Find(2)=2, Find(5)=0, Add (2,5)=26 Succeeded, w=48\",\"Find(1)=1, Find(6)=2, Add (1,6)=30 Succeeded, w=78\",\"Find(0)=2, Find(2)=2, Add (0,2)=32 Failed, w=78\",\"Find(1)=2, Find(2)=2, Add (1,2)=33 Failed, w=78\",\"Find(0)=2, Find(4)=2, Add (0,4)=34 Failed, w=78\",\"Find(3)=3, Find(5)=2, Add (3,5)=35 Succeeded, w=113\",\"Find(1)=2, Find(5)=2, Add (1,5)=41 Failed, w=113\",\"Find(0)=2, Find(6)=2, Add (0,6)=49 Failed, w=113\",\"Find(2)=2, Find(4)=2, Add (2,4)=52 Failed, w=113\",\"Find(0)=2, Find(3)=2, Add (0,3)=56 Failed, w=113\",\"Find(2)=2, Find(3)=2, Add (2,3)=59 Failed, w=113\",\"Find(3)=2, Find(4)=2, Add (3,4)=65 Failed, w=113\",\"Find(0)=2, Find(1)=2, Add (0,1)=83 Failed, w=113\",\"Find(4)=2, Find(6)=2, Add (4,6)=83 Failed, w=113\"],\"Answer\":113}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,32],[0,3,56],[0,4,34],[0,5,8],[0,6,49],[1,2,33],[1,4,3],[1,5,41],[1,6,30],[2,3,59],[2,4,52],[2,5,26],[2,6,11],[3,4,65],[3,5,35],[4,6,83]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=3,(0,5)=8,(2,6)=11,(2,5)=26,(1,6)=30,(0,2)=32,(1,2)=33,(0,4)=34,(3,5)=35,(1,5)=41,(0,6)=49,(2,4)=52,(0,3)=56,(2,3)=59,(3,4)=65,(0,1)=83,(4,6)=83]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=11 Succeeded, w=22\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0, 6: 2}, Find(2)=2, Find(5)=0, Add (2,5)=26 Succeeded, w=48\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 1, 5: 0, 6: 2}, Find(1)=1, Find(6)=2, Add (1,6)=30 Succeeded, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 1, 5: 0, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=32 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 1, 5: 0, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=33 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 0, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=34 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=3, Find(5)=2, Add (3,5)=35 Succeeded, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=41 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=49 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=52 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=56 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=59 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=65 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=83 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=83 Failed, w=113\"],\"Answer\":113}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,97],[0,3,95],[1,2,53],[2,3,13]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,3,95],[1,2,53],[2,3,13]]}", "role": "user" }, { "content": "{\"Answer\":161}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,3,95],[1,2,53],[2,3,13]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":161}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,3,95],[1,2,53],[2,3,13]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=13, w=13\",\"Add (1,2)=53, w=66\",\"Add (0,3)=95, w=161\"],\"Answer\":161}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,3,95],[1,2,53],[2,3,13]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=13 Succeeded, w=13\",\"Add (1,2)=53 Succeeded, w=66\",\"Add (0,3)=95 Succeeded, w=161\",\"Add (0,1)=97 Failed, w=161\"],\"Answer\":161}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,3,95],[1,2,53],[2,3,13]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=13,(1,2)=53,(0,3)=95,(0,1)=97]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=13\",\"Find(1)=1, Find(2)=2, Add (1,2)=53 Succeeded, w=66\",\"Find(0)=0, Find(3)=2, Add (0,3)=95 Succeeded, w=161\",\"Find(0)=2, Find(1)=2, Add (0,1)=97 Failed, w=161\"],\"Answer\":161}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,3,95],[1,2,53],[2,3,13]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=13,(1,2)=53,(0,3)=95,(0,1)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=53 Succeeded, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=95 Succeeded, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=97 Failed, w=161\"],\"Answer\":161}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,54],[0,3,18],[1,2,42],[1,3,61]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,3,18],[1,2,42],[1,3,61]]}", "role": "user" }, { "content": "{\"Answer\":114}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,3,18],[1,2,42],[1,3,61]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":114}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,3,18],[1,2,42],[1,3,61]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=18, w=18\",\"Add (1,2)=42, w=60\",\"Add (0,1)=54, w=114\"],\"Answer\":114}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,3,18],[1,2,42],[1,3,61]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=18 Succeeded, w=18\",\"Add (1,2)=42 Succeeded, w=60\",\"Add (0,1)=54 Succeeded, w=114\",\"Add (1,3)=61 Failed, w=114\"],\"Answer\":114}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,3,18],[1,2,42],[1,3,61]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=18,(1,2)=42,(0,1)=54,(1,3)=61]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=18\",\"Find(1)=1, Find(2)=2, Add (1,2)=42 Succeeded, w=60\",\"Find(0)=0, Find(1)=1, Add (0,1)=54 Succeeded, w=114\",\"Find(1)=0, Find(3)=0, Add (1,3)=61 Failed, w=114\"],\"Answer\":114}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,3,18],[1,2,42],[1,3,61]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=18,(1,2)=42,(0,1)=54,(1,3)=61]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=42 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=54 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=61 Failed, w=114\"],\"Answer\":114}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,58],[0,2,99],[0,3,86],[0,4,95],[0,5,92],[0,6,90],[1,2,69],[1,3,71],[1,4,65],[1,5,95],[1,6,65],[2,3,46],[2,4,93],[2,5,81],[2,6,40],[3,4,23],[3,5,47],[3,6,60],[4,5,81],[4,6,68],[5,6,46]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,99],[0,3,86],[0,4,95],[0,5,92],[0,6,90],[1,2,69],[1,3,71],[1,4,65],[1,5,95],[1,6,65],[2,3,46],[2,4,93],[2,5,81],[2,6,40],[3,4,23],[3,5,47],[3,6,60],[4,5,81],[4,6,68],[5,6,46]]}", "role": "user" }, { "content": "{\"Answer\":278}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,99],[0,3,86],[0,4,95],[0,5,92],[0,6,90],[1,2,69],[1,3,71],[1,4,65],[1,5,95],[1,6,65],[2,3,46],[2,4,93],[2,5,81],[2,6,40],[3,4,23],[3,5,47],[3,6,60],[4,5,81],[4,6,68],[5,6,46]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)\",\"Add (2,6)\",\"Add (2,3)\",\"Add (5,6)\",\"Add (0,1)\",\"Add (1,4)\"],\"Answer\":278}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,99],[0,3,86],[0,4,95],[0,5,92],[0,6,90],[1,2,69],[1,3,71],[1,4,65],[1,5,95],[1,6,65],[2,3,46],[2,4,93],[2,5,81],[2,6,40],[3,4,23],[3,5,47],[3,6,60],[4,5,81],[4,6,68],[5,6,46]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=23, w=23\",\"Add (2,6)=40, w=63\",\"Add (2,3)=46, w=109\",\"Add (5,6)=46, w=155\",\"Add (0,1)=58, w=213\",\"Add (1,4)=65, w=278\"],\"Answer\":278}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,99],[0,3,86],[0,4,95],[0,5,92],[0,6,90],[1,2,69],[1,3,71],[1,4,65],[1,5,95],[1,6,65],[2,3,46],[2,4,93],[2,5,81],[2,6,40],[3,4,23],[3,5,47],[3,6,60],[4,5,81],[4,6,68],[5,6,46]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=23 Succeeded, w=23\",\"Add (2,6)=40 Succeeded, w=63\",\"Add (2,3)=46 Succeeded, w=109\",\"Add (5,6)=46 Succeeded, w=155\",\"Add (3,5)=47 Failed, w=155\",\"Add (0,1)=58 Succeeded, w=213\",\"Add (3,6)=60 Failed, w=213\",\"Add (1,4)=65 Succeeded, w=278\",\"Add (1,6)=65 Failed, w=278\",\"Add (4,6)=68 Failed, w=278\",\"Add (1,2)=69 Failed, w=278\",\"Add (1,3)=71 Failed, w=278\",\"Add (2,5)=81 Failed, w=278\",\"Add (4,5)=81 Failed, w=278\",\"Add (0,3)=86 Failed, w=278\",\"Add (0,6)=90 Failed, w=278\",\"Add (0,5)=92 Failed, w=278\",\"Add (2,4)=93 Failed, w=278\",\"Add (0,4)=95 Failed, w=278\",\"Add (1,5)=95 Failed, w=278\",\"Add (0,2)=99 Failed, w=278\"],\"Answer\":278}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,99],[0,3,86],[0,4,95],[0,5,92],[0,6,90],[1,2,69],[1,3,71],[1,4,65],[1,5,95],[1,6,65],[2,3,46],[2,4,93],[2,5,81],[2,6,40],[3,4,23],[3,5,47],[3,6,60],[4,5,81],[4,6,68],[5,6,46]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=23,(2,6)=40,(2,3)=46,(5,6)=46,(3,5)=47,(0,1)=58,(3,6)=60,(1,4)=65,(1,6)=65,(4,6)=68,(1,2)=69,(1,3)=71,(2,5)=81,(4,5)=81,(0,3)=86,(0,6)=90,(0,5)=92,(2,4)=93,(0,4)=95,(1,5)=95,(0,2)=99]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=23 Succeeded, w=23\",\"Find(2)=2, Find(6)=6, Add (2,6)=40 Succeeded, w=63\",\"Find(2)=2, Find(3)=3, Add (2,3)=46 Succeeded, w=109\",\"Find(5)=5, Find(6)=2, Add (5,6)=46 Succeeded, w=155\",\"Find(3)=2, Find(5)=2, Add (3,5)=47 Failed, w=155\",\"Find(0)=0, Find(1)=1, Add (0,1)=58 Succeeded, w=213\",\"Find(3)=2, Find(6)=2, Add (3,6)=60 Failed, w=213\",\"Find(1)=0, Find(4)=2, Add (1,4)=65 Succeeded, w=278\",\"Find(1)=2, Find(6)=2, Add (1,6)=65 Failed, w=278\",\"Find(4)=2, Find(6)=2, Add (4,6)=68 Failed, w=278\",\"Find(1)=2, Find(2)=2, Add (1,2)=69 Failed, w=278\",\"Find(1)=2, Find(3)=2, Add (1,3)=71 Failed, w=278\",\"Find(2)=2, Find(5)=2, Add (2,5)=81 Failed, w=278\",\"Find(4)=2, Find(5)=2, Add (4,5)=81 Failed, w=278\",\"Find(0)=2, Find(3)=2, Add (0,3)=86 Failed, w=278\",\"Find(0)=2, Find(6)=2, Add (0,6)=90 Failed, w=278\",\"Find(0)=2, Find(5)=2, Add (0,5)=92 Failed, w=278\",\"Find(2)=2, Find(4)=2, Add (2,4)=93 Failed, w=278\",\"Find(0)=2, Find(4)=2, Add (0,4)=95 Failed, w=278\",\"Find(1)=2, Find(5)=2, Add (1,5)=95 Failed, w=278\",\"Find(0)=2, Find(2)=2, Add (0,2)=99 Failed, w=278\"],\"Answer\":278}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,99],[0,3,86],[0,4,95],[0,5,92],[0,6,90],[1,2,69],[1,3,71],[1,4,65],[1,5,95],[1,6,65],[2,3,46],[2,4,93],[2,5,81],[2,6,40],[3,4,23],[3,5,47],[3,6,60],[4,5,81],[4,6,68],[5,6,46]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=23,(2,6)=40,(2,3)=46,(5,6)=46,(3,5)=47,(0,1)=58,(3,6)=60,(1,4)=65,(1,6)=65,(4,6)=68,(1,2)=69,(1,3)=71,(2,5)=81,(4,5)=81,(0,3)=86,(0,6)=90,(0,5)=92,(2,4)=93,(0,4)=95,(1,5)=95,(0,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=40 Succeeded, w=63\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 3, 5: 5, 6: 2}, Find(2)=2, Find(3)=3, Add (2,3)=46 Succeeded, w=109\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2}, Find(5)=5, Find(6)=2, Add (5,6)=46 Succeeded, w=155\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=47 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2}, Find(0)=0, Find(1)=1, Add (0,1)=58 Succeeded, w=213\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=60 Failed, w=213\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=0, Find(4)=2, Add (1,4)=65 Succeeded, w=278\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=65 Failed, w=278\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=68 Failed, w=278\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=69 Failed, w=278\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=71 Failed, w=278\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=81 Failed, w=278\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=81 Failed, w=278\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=86 Failed, w=278\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=90 Failed, w=278\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=92 Failed, w=278\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=93 Failed, w=278\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=95 Failed, w=278\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=95 Failed, w=278\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=99 Failed, w=278\"],\"Answer\":278}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,64],[0,2,54],[0,3,29],[0,4,3],[0,5,88],[1,2,63],[1,5,11],[1,6,46],[2,3,1],[2,4,86],[2,5,24],[3,4,73],[4,6,38]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,54],[0,3,29],[0,4,3],[0,5,88],[1,2,63],[1,5,11],[1,6,46],[2,3,1],[2,4,86],[2,5,24],[3,4,73],[4,6,38]]}", "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],\"edges\":[[0,1,64],[0,2,54],[0,3,29],[0,4,3],[0,5,88],[1,2,63],[1,5,11],[1,6,46],[2,3,1],[2,4,86],[2,5,24],[3,4,73],[4,6,38]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (0,4)\",\"Add (1,5)\",\"Add (2,5)\",\"Add (0,3)\",\"Add (4,6)\"],\"Answer\":106}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,54],[0,3,29],[0,4,3],[0,5,88],[1,2,63],[1,5,11],[1,6,46],[2,3,1],[2,4,86],[2,5,24],[3,4,73],[4,6,38]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (0,4)=3, w=4\",\"Add (1,5)=11, w=15\",\"Add (2,5)=24, w=39\",\"Add (0,3)=29, w=68\",\"Add (4,6)=38, 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],\"edges\":[[0,1,64],[0,2,54],[0,3,29],[0,4,3],[0,5,88],[1,2,63],[1,5,11],[1,6,46],[2,3,1],[2,4,86],[2,5,24],[3,4,73],[4,6,38]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (0,4)=3 Succeeded, w=4\",\"Add (1,5)=11 Succeeded, w=15\",\"Add (2,5)=24 Succeeded, w=39\",\"Add (0,3)=29 Succeeded, w=68\",\"Add (4,6)=38 Succeeded, w=106\",\"Add (1,6)=46 Failed, w=106\",\"Add (0,2)=54 Failed, w=106\",\"Add (1,2)=63 Failed, w=106\",\"Add (0,1)=64 Failed, w=106\",\"Add (3,4)=73 Failed, w=106\",\"Add (2,4)=86 Failed, w=106\",\"Add (0,5)=88 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],\"edges\":[[0,1,64],[0,2,54],[0,3,29],[0,4,3],[0,5,88],[1,2,63],[1,5,11],[1,6,46],[2,3,1],[2,4,86],[2,5,24],[3,4,73],[4,6,38]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=1,(0,4)=3,(1,5)=11,(2,5)=24,(0,3)=29,(4,6)=38,(1,6)=46,(0,2)=54,(1,2)=63,(0,1)=64,(3,4)=73,(2,4)=86,(0,5)=88]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=4\",\"Find(1)=1, Find(5)=5, Add (1,5)=11 Succeeded, w=15\",\"Find(2)=2, Find(5)=1, Add (2,5)=24 Succeeded, w=39\",\"Find(0)=0, Find(3)=2, Add (0,3)=29 Succeeded, w=68\",\"Find(4)=2, Find(6)=6, Add (4,6)=38 Succeeded, w=106\",\"Find(1)=2, Find(6)=2, Add (1,6)=46 Failed, w=106\",\"Find(0)=2, Find(2)=2, Add (0,2)=54 Failed, w=106\",\"Find(1)=2, Find(2)=2, Add (1,2)=63 Failed, w=106\",\"Find(0)=2, Find(1)=2, Add (0,1)=64 Failed, w=106\",\"Find(3)=2, Find(4)=2, Add (3,4)=73 Failed, w=106\",\"Find(2)=2, Find(4)=2, Add (2,4)=86 Failed, w=106\",\"Find(0)=2, Find(5)=2, Add (0,5)=88 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],\"edges\":[[0,1,64],[0,2,54],[0,3,29],[0,4,3],[0,5,88],[1,2,63],[1,5,11],[1,6,46],[2,3,1],[2,4,86],[2,5,24],[3,4,73],[4,6,38]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=1,(0,4)=3,(1,5)=11,(2,5)=24,(0,3)=29,(4,6)=38,(1,6)=46,(0,2)=54,(1,2)=63,(0,1)=64,(3,4)=73,(2,4)=86,(0,5)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=11 Succeeded, w=15\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0, 5: 1, 6: 6}, Find(2)=2, Find(5)=1, Add (2,5)=24 Succeeded, w=39\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 1, 6: 6}, Find(0)=0, Find(3)=2, Add (0,3)=29 Succeeded, w=68\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2}, Find(4)=2, Find(6)=6, Add (4,6)=38 Succeeded, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=46 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=54 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=63 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=64 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=73 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=86 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=88 Failed, w=106\"],\"Answer\":106}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,28],[0,2,55],[0,3,35],[0,4,33],[1,2,59],[2,4,89],[3,4,59]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,55],[0,3,35],[0,4,33],[1,2,59],[2,4,89],[3,4,59]]}", "role": "user" }, { "content": "{\"Answer\":151}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,55],[0,3,35],[0,4,33],[1,2,59],[2,4,89],[3,4,59]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (0,4)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":151}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,55],[0,3,35],[0,4,33],[1,2,59],[2,4,89],[3,4,59]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=28, w=28\",\"Add (0,4)=33, w=61\",\"Add (0,3)=35, w=96\",\"Add (0,2)=55, w=151\"],\"Answer\":151}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,55],[0,3,35],[0,4,33],[1,2,59],[2,4,89],[3,4,59]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=28 Succeeded, w=28\",\"Add (0,4)=33 Succeeded, w=61\",\"Add (0,3)=35 Succeeded, w=96\",\"Add (0,2)=55 Succeeded, w=151\",\"Add (1,2)=59 Failed, w=151\",\"Add (3,4)=59 Failed, w=151\",\"Add (2,4)=89 Failed, w=151\"],\"Answer\":151}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,55],[0,3,35],[0,4,33],[1,2,59],[2,4,89],[3,4,59]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=28,(0,4)=33,(0,3)=35,(0,2)=55,(1,2)=59,(3,4)=59,(2,4)=89]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=28\",\"Find(0)=0, Find(4)=4, Add (0,4)=33 Succeeded, w=61\",\"Find(0)=0, Find(3)=3, Add (0,3)=35 Succeeded, w=96\",\"Find(0)=0, Find(2)=2, Add (0,2)=55 Succeeded, w=151\",\"Find(1)=0, Find(2)=0, Add (1,2)=59 Failed, w=151\",\"Find(3)=0, Find(4)=0, Add (3,4)=59 Failed, w=151\",\"Find(2)=0, Find(4)=0, Add (2,4)=89 Failed, w=151\"],\"Answer\":151}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,55],[0,3,35],[0,4,33],[1,2,59],[2,4,89],[3,4,59]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=28,(0,4)=33,(0,3)=35,(0,2)=55,(1,2)=59,(3,4)=59,(2,4)=89]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=33 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=35 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=55 Succeeded, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=59 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=59 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=89 Failed, w=151\"],\"Answer\":151}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,97],[0,5,50],[1,3,31],[1,4,14],[1,5,6],[1,6,1],[2,4,21],[2,5,15],[2,6,46],[4,5,53]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,5,50],[1,3,31],[1,4,14],[1,5,6],[1,6,1],[2,4,21],[2,5,15],[2,6,46],[4,5,53]]}", "role": "user" }, { "content": "{\"Answer\":117}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,5,50],[1,3,31],[1,4,14],[1,5,6],[1,6,1],[2,4,21],[2,5,15],[2,6,46],[4,5,53]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,6)\",\"Add (1,5)\",\"Add (1,4)\",\"Add (2,5)\",\"Add (1,3)\",\"Add (0,5)\"],\"Answer\":117}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,5,50],[1,3,31],[1,4,14],[1,5,6],[1,6,1],[2,4,21],[2,5,15],[2,6,46],[4,5,53]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,6)=1, w=1\",\"Add (1,5)=6, w=7\",\"Add (1,4)=14, w=21\",\"Add (2,5)=15, w=36\",\"Add (1,3)=31, w=67\",\"Add (0,5)=50, w=117\"],\"Answer\":117}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,5,50],[1,3,31],[1,4,14],[1,5,6],[1,6,1],[2,4,21],[2,5,15],[2,6,46],[4,5,53]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,6)=1 Succeeded, w=1\",\"Add (1,5)=6 Succeeded, w=7\",\"Add (1,4)=14 Succeeded, w=21\",\"Add (2,5)=15 Succeeded, w=36\",\"Add (2,4)=21 Failed, w=36\",\"Add (1,3)=31 Succeeded, w=67\",\"Add (2,6)=46 Failed, w=67\",\"Add (0,5)=50 Succeeded, w=117\",\"Add (4,5)=53 Failed, w=117\",\"Add (0,1)=97 Failed, w=117\"],\"Answer\":117}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,5,50],[1,3,31],[1,4,14],[1,5,6],[1,6,1],[2,4,21],[2,5,15],[2,6,46],[4,5,53]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,6)=1,(1,5)=6,(1,4)=14,(2,5)=15,(2,4)=21,(1,3)=31,(2,6)=46,(0,5)=50,(4,5)=53,(0,1)=97]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=1 Succeeded, w=1\",\"Find(1)=1, Find(5)=5, Add (1,5)=6 Succeeded, w=7\",\"Find(1)=1, Find(4)=4, Add (1,4)=14 Succeeded, w=21\",\"Find(2)=2, Find(5)=1, Add (2,5)=15 Succeeded, w=36\",\"Find(2)=1, Find(4)=1, Add (2,4)=21 Failed, w=36\",\"Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=67\",\"Find(2)=1, Find(6)=1, Add (2,6)=46 Failed, w=67\",\"Find(0)=0, Find(5)=1, Add (0,5)=50 Succeeded, w=117\",\"Find(4)=1, Find(5)=1, Add (4,5)=53 Failed, w=117\",\"Find(0)=1, Find(1)=1, Add (0,1)=97 Failed, w=117\"],\"Answer\":117}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,5,50],[1,3,31],[1,4,14],[1,5,6],[1,6,1],[2,4,21],[2,5,15],[2,6,46],[4,5,53]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,6)=1,(1,5)=6,(1,4)=14,(2,5)=15,(2,4)=21,(1,3)=31,(2,6)=46,(0,5)=50,(4,5)=53,(0,1)=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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 1}, Find(1)=1, Find(5)=5, Add (1,5)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=4, Add (1,4)=14 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(2)=2, Find(5)=1, Add (2,5)=15 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=21 Failed, w=36\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=67\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=46 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=0, Find(5)=1, Add (0,5)=50 Succeeded, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=53 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=97 Failed, w=117\"],\"Answer\":117}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,62],[0,2,37],[0,3,93],[1,2,59],[1,3,97]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,37],[0,3,93],[1,2,59],[1,3,97]]}", "role": "user" }, { "content": "{\"Answer\":189}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,37],[0,3,93],[1,2,59],[1,3,97]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":189}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,37],[0,3,93],[1,2,59],[1,3,97]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=37, w=37\",\"Add (1,2)=59, w=96\",\"Add (0,3)=93, w=189\"],\"Answer\":189}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,37],[0,3,93],[1,2,59],[1,3,97]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=37 Succeeded, w=37\",\"Add (1,2)=59 Succeeded, w=96\",\"Add (0,1)=62 Failed, w=96\",\"Add (0,3)=93 Succeeded, w=189\",\"Add (1,3)=97 Failed, w=189\"],\"Answer\":189}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,37],[0,3,93],[1,2,59],[1,3,97]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=37,(1,2)=59,(0,1)=62,(0,3)=93,(1,3)=97]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=37\",\"Find(1)=1, Find(2)=0, Add (1,2)=59 Succeeded, w=96\",\"Find(0)=0, Find(1)=0, Add (0,1)=62 Failed, w=96\",\"Find(0)=0, Find(3)=3, Add (0,3)=93 Succeeded, w=189\",\"Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=189\"],\"Answer\":189}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,37],[0,3,93],[1,2,59],[1,3,97]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=37,(1,2)=59,(0,1)=62,(0,3)=93,(1,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=1, Find(2)=0, Add (1,2)=59 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=0, Add (0,1)=62 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=93 Succeeded, w=189\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=189\"],\"Answer\":189}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,56],[0,2,100],[0,4,99],[0,5,99],[1,2,83],[1,3,49],[1,4,72],[1,5,22],[2,3,53],[2,4,68],[2,5,54],[3,4,34],[3,5,55]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,100],[0,4,99],[0,5,99],[1,2,83],[1,3,49],[1,4,72],[1,5,22],[2,3,53],[2,4,68],[2,5,54],[3,4,34],[3,5,55]]}", "role": "user" }, { "content": "{\"Answer\":214}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,100],[0,4,99],[0,5,99],[1,2,83],[1,3,49],[1,4,72],[1,5,22],[2,3,53],[2,4,68],[2,5,54],[3,4,34],[3,5,55]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)\",\"Add (3,4)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":214}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,100],[0,4,99],[0,5,99],[1,2,83],[1,3,49],[1,4,72],[1,5,22],[2,3,53],[2,4,68],[2,5,54],[3,4,34],[3,5,55]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)=22, w=22\",\"Add (3,4)=34, w=56\",\"Add (1,3)=49, w=105\",\"Add (2,3)=53, w=158\",\"Add (0,1)=56, w=214\"],\"Answer\":214}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,100],[0,4,99],[0,5,99],[1,2,83],[1,3,49],[1,4,72],[1,5,22],[2,3,53],[2,4,68],[2,5,54],[3,4,34],[3,5,55]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)=22 Succeeded, w=22\",\"Add (3,4)=34 Succeeded, w=56\",\"Add (1,3)=49 Succeeded, w=105\",\"Add (2,3)=53 Succeeded, w=158\",\"Add (2,5)=54 Failed, w=158\",\"Add (3,5)=55 Failed, w=158\",\"Add (0,1)=56 Succeeded, w=214\",\"Add (2,4)=68 Failed, w=214\",\"Add (1,4)=72 Failed, w=214\",\"Add (1,2)=83 Failed, w=214\",\"Add (0,4)=99 Failed, w=214\",\"Add (0,5)=99 Failed, w=214\",\"Add (0,2)=100 Failed, w=214\"],\"Answer\":214}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,100],[0,4,99],[0,5,99],[1,2,83],[1,3,49],[1,4,72],[1,5,22],[2,3,53],[2,4,68],[2,5,54],[3,4,34],[3,5,55]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,5)=22,(3,4)=34,(1,3)=49,(2,3)=53,(2,5)=54,(3,5)=55,(0,1)=56,(2,4)=68,(1,4)=72,(1,2)=83,(0,4)=99,(0,5)=99,(0,2)=100]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=22 Succeeded, w=22\",\"Find(3)=3, Find(4)=4, Add (3,4)=34 Succeeded, w=56\",\"Find(1)=1, Find(3)=3, Add (1,3)=49 Succeeded, w=105\",\"Find(2)=2, Find(3)=1, Add (2,3)=53 Succeeded, w=158\",\"Find(2)=1, Find(5)=1, Add (2,5)=54 Failed, w=158\",\"Find(3)=1, Find(5)=1, Add (3,5)=55 Failed, w=158\",\"Find(0)=0, Find(1)=1, Add (0,1)=56 Succeeded, w=214\",\"Find(2)=1, Find(4)=1, Add (2,4)=68 Failed, w=214\",\"Find(1)=1, Find(4)=1, Add (1,4)=72 Failed, w=214\",\"Find(1)=1, Find(2)=1, Add (1,2)=83 Failed, w=214\",\"Find(0)=1, Find(4)=1, Add (0,4)=99 Failed, w=214\",\"Find(0)=1, Find(5)=1, Add (0,5)=99 Failed, w=214\",\"Find(0)=1, Find(2)=1, Add (0,2)=100 Failed, w=214\"],\"Answer\":214}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,100],[0,4,99],[0,5,99],[1,2,83],[1,3,49],[1,4,72],[1,5,22],[2,3,53],[2,4,68],[2,5,54],[3,4,34],[3,5,55]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,5)=22,(3,4)=34,(1,3)=49,(2,3)=53,(2,5)=54,(3,5)=55,(0,1)=56,(2,4)=68,(1,4)=72,(1,2)=83,(0,4)=99,(0,5)=99,(0,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1}, Find(3)=3, Find(4)=4, Add (3,4)=34 Succeeded, w=56\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 3, 5: 1}, Find(1)=1, Find(3)=3, Add (1,3)=49 Succeeded, w=105\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1}, Find(2)=2, Find(3)=1, Add (2,3)=53 Succeeded, w=158\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=54 Failed, w=158\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=55 Failed, w=158\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=56 Succeeded, w=214\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=68 Failed, w=214\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=72 Failed, w=214\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=83 Failed, w=214\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=99 Failed, w=214\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=99 Failed, w=214\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=100 Failed, w=214\"],\"Answer\":214}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,14],[0,3,88],[0,4,56],[0,5,78],[1,2,87],[1,3,97],[1,4,60],[1,5,15],[2,3,48],[2,5,3],[3,4,35],[4,5,23]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,14],[0,3,88],[0,4,56],[0,5,78],[1,2,87],[1,3,97],[1,4,60],[1,5,15],[2,3,48],[2,5,3],[3,4,35],[4,5,23]]}", "role": "user" }, { "content": "{\"Answer\":90}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,14],[0,3,88],[0,4,56],[0,5,78],[1,2,87],[1,3,97],[1,4,60],[1,5,15],[2,3,48],[2,5,3],[3,4,35],[4,5,23]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)\",\"Add (0,2)\",\"Add (1,5)\",\"Add (4,5)\",\"Add (3,4)\"],\"Answer\":90}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,14],[0,3,88],[0,4,56],[0,5,78],[1,2,87],[1,3,97],[1,4,60],[1,5,15],[2,3,48],[2,5,3],[3,4,35],[4,5,23]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=3, w=3\",\"Add (0,2)=14, w=17\",\"Add (1,5)=15, w=32\",\"Add (4,5)=23, w=55\",\"Add (3,4)=35, w=90\"],\"Answer\":90}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,14],[0,3,88],[0,4,56],[0,5,78],[1,2,87],[1,3,97],[1,4,60],[1,5,15],[2,3,48],[2,5,3],[3,4,35],[4,5,23]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=3 Succeeded, w=3\",\"Add (0,2)=14 Succeeded, w=17\",\"Add (1,5)=15 Succeeded, w=32\",\"Add (4,5)=23 Succeeded, w=55\",\"Add (3,4)=35 Succeeded, w=90\",\"Add (2,3)=48 Failed, w=90\",\"Add (0,4)=56 Failed, w=90\",\"Add (1,4)=60 Failed, w=90\",\"Add (0,5)=78 Failed, w=90\",\"Add (1,2)=87 Failed, w=90\",\"Add (0,3)=88 Failed, w=90\",\"Add (1,3)=97 Failed, w=90\"],\"Answer\":90}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,14],[0,3,88],[0,4,56],[0,5,78],[1,2,87],[1,3,97],[1,4,60],[1,5,15],[2,3,48],[2,5,3],[3,4,35],[4,5,23]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=3,(0,2)=14,(1,5)=15,(4,5)=23,(3,4)=35,(2,3)=48,(0,4)=56,(1,4)=60,(0,5)=78,(1,2)=87,(0,3)=88,(1,3)=97]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=3\",\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=17\",\"Find(1)=1, Find(5)=2, Add (1,5)=15 Succeeded, w=32\",\"Find(4)=4, Find(5)=2, Add (4,5)=23 Succeeded, w=55\",\"Find(3)=3, Find(4)=2, Add (3,4)=35 Succeeded, w=90\",\"Find(2)=2, Find(3)=2, Add (2,3)=48 Failed, w=90\",\"Find(0)=2, Find(4)=2, Add (0,4)=56 Failed, w=90\",\"Find(1)=2, Find(4)=2, Add (1,4)=60 Failed, w=90\",\"Find(0)=2, Find(5)=2, Add (0,5)=78 Failed, w=90\",\"Find(1)=2, Find(2)=2, Add (1,2)=87 Failed, w=90\",\"Find(0)=2, Find(3)=2, Add (0,3)=88 Failed, w=90\",\"Find(1)=2, Find(3)=2, Add (1,3)=97 Failed, w=90\"],\"Answer\":90}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,14],[0,3,88],[0,4,56],[0,5,78],[1,2,87],[1,3,97],[1,4,60],[1,5,15],[2,3,48],[2,5,3],[3,4,35],[4,5,23]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=3,(0,2)=14,(1,5)=15,(4,5)=23,(3,4)=35,(2,3)=48,(0,4)=56,(1,4)=60,(0,5)=78,(1,2)=87,(0,3)=88,(1,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=3\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=17\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=15 Succeeded, w=32\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(4)=4, Find(5)=2, Add (4,5)=23 Succeeded, w=55\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=3, Find(4)=2, Add (3,4)=35 Succeeded, w=90\",\"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=90\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=56 Failed, w=90\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=60 Failed, w=90\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=78 Failed, w=90\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=87 Failed, w=90\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=88 Failed, w=90\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=97 Failed, w=90\"],\"Answer\":90}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[1,3,22],[2,3,0]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,22],[2,3,0]]}", "role": "user" }, { "content": "{\"Answer\":22}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,22],[2,3,0]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":22}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,22],[2,3,0]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (1,3)=22, w=22\"],\"Answer\":22}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,22],[2,3,0]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (1,3)=22 Succeeded, w=22\"],\"Answer\":22}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,22],[2,3,0]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=0,(1,3)=22]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=2, Add (1,3)=22 Succeeded, w=22\"],\"Answer\":22}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,22],[2,3,0]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=0,(1,3)=22]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=22 Succeeded, w=22\"],\"Answer\":22}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,99],[0,2,50],[0,3,0],[0,4,19],[0,5,30],[1,2,81],[1,3,34],[1,4,19],[1,5,94],[2,3,49],[2,4,70],[2,5,8],[3,4,12],[3,5,73],[4,5,45]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,99],[0,2,50],[0,3,0],[0,4,19],[0,5,30],[1,2,81],[1,3,34],[1,4,19],[1,5,94],[2,3,49],[2,4,70],[2,5,8],[3,4,12],[3,5,73],[4,5,45]]}", "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\":[[0,1,99],[0,2,50],[0,3,0],[0,4,19],[0,5,30],[1,2,81],[1,3,34],[1,4,19],[1,5,94],[2,3,49],[2,4,70],[2,5,8],[3,4,12],[3,5,73],[4,5,45]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (2,5)\",\"Add (3,4)\",\"Add (1,4)\",\"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\":[[0,1,99],[0,2,50],[0,3,0],[0,4,19],[0,5,30],[1,2,81],[1,3,34],[1,4,19],[1,5,94],[2,3,49],[2,4,70],[2,5,8],[3,4,12],[3,5,73],[4,5,45]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (2,5)=8, w=8\",\"Add (3,4)=12, w=20\",\"Add (1,4)=19, w=39\",\"Add (0,5)=30, 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\":[[0,1,99],[0,2,50],[0,3,0],[0,4,19],[0,5,30],[1,2,81],[1,3,34],[1,4,19],[1,5,94],[2,3,49],[2,4,70],[2,5,8],[3,4,12],[3,5,73],[4,5,45]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (2,5)=8 Succeeded, w=8\",\"Add (3,4)=12 Succeeded, w=20\",\"Add (0,4)=19 Failed, w=20\",\"Add (1,4)=19 Succeeded, w=39\",\"Add (0,5)=30 Succeeded, w=69\",\"Add (1,3)=34 Failed, w=69\",\"Add (4,5)=45 Failed, w=69\",\"Add (2,3)=49 Failed, w=69\",\"Add (0,2)=50 Failed, w=69\",\"Add (2,4)=70 Failed, w=69\",\"Add (3,5)=73 Failed, w=69\",\"Add (1,2)=81 Failed, w=69\",\"Add (1,5)=94 Failed, w=69\",\"Add (0,1)=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\":[[0,1,99],[0,2,50],[0,3,0],[0,4,19],[0,5,30],[1,2,81],[1,3,34],[1,4,19],[1,5,94],[2,3,49],[2,4,70],[2,5,8],[3,4,12],[3,5,73],[4,5,45]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=0,(2,5)=8,(3,4)=12,(0,4)=19,(1,4)=19,(0,5)=30,(1,3)=34,(4,5)=45,(2,3)=49,(0,2)=50,(2,4)=70,(3,5)=73,(1,2)=81,(1,5)=94,(0,1)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=8\",\"Find(3)=0, Find(4)=4, Add (3,4)=12 Succeeded, w=20\",\"Find(0)=0, Find(4)=0, Add (0,4)=19 Failed, w=20\",\"Find(1)=1, Find(4)=0, Add (1,4)=19 Succeeded, w=39\",\"Find(0)=0, Find(5)=2, Add (0,5)=30 Succeeded, w=69\",\"Find(1)=0, Find(3)=0, Add (1,3)=34 Failed, w=69\",\"Find(4)=0, Find(5)=0, Add (4,5)=45 Failed, w=69\",\"Find(2)=0, Find(3)=0, Add (2,3)=49 Failed, w=69\",\"Find(0)=0, Find(2)=0, Add (0,2)=50 Failed, w=69\",\"Find(2)=0, Find(4)=0, Add (2,4)=70 Failed, w=69\",\"Find(3)=0, Find(5)=0, Add (3,5)=73 Failed, w=69\",\"Find(1)=0, Find(2)=0, Add (1,2)=81 Failed, w=69\",\"Find(1)=0, Find(5)=0, Add (1,5)=94 Failed, w=69\",\"Find(0)=0, Find(1)=0, Add (0,1)=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\":[[0,1,99],[0,2,50],[0,3,0],[0,4,19],[0,5,30],[1,2,81],[1,3,34],[1,4,19],[1,5,94],[2,3,49],[2,4,70],[2,5,8],[3,4,12],[3,5,73],[4,5,45]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=0,(2,5)=8,(3,4)=12,(0,4)=19,(1,4)=19,(0,5)=30,(1,3)=34,(4,5)=45,(2,3)=49,(0,2)=50,(2,4)=70,(3,5)=73,(1,2)=81,(1,5)=94,(0,1)=99]\",\"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)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 2}, Find(3)=0, Find(4)=4, Add (3,4)=12 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 2}, Find(0)=0, Find(4)=0, Add (0,4)=19 Failed, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2}, Find(1)=1, Find(4)=0, Add (1,4)=19 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(0)=0, Find(5)=2, Add (0,5)=30 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(1)=0, Find(3)=0, Add (1,3)=34 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=45 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=49 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=50 Failed, w=69\",\"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=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=73 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=81 Failed, w=69\",\"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=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=99 Failed, w=69\"],\"Answer\":69}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,8],[0,3,37],[1,2,58],[1,3,73],[2,3,10]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,3,37],[1,2,58],[1,3,73],[2,3,10]]}", "role": "user" }, { "content": "{\"Answer\":55}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,3,37],[1,2,58],[1,3,73],[2,3,10]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":55}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,3,37],[1,2,58],[1,3,73],[2,3,10]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=8, w=8\",\"Add (2,3)=10, w=18\",\"Add (0,3)=37, w=55\"],\"Answer\":55}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,3,37],[1,2,58],[1,3,73],[2,3,10]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=8 Succeeded, w=8\",\"Add (2,3)=10 Succeeded, w=18\",\"Add (0,3)=37 Succeeded, w=55\",\"Add (1,2)=58 Failed, w=55\",\"Add (1,3)=73 Failed, w=55\"],\"Answer\":55}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,3,37],[1,2,58],[1,3,73],[2,3,10]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=8,(2,3)=10,(0,3)=37,(1,2)=58,(1,3)=73]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=18\",\"Find(0)=0, Find(3)=2, Add (0,3)=37 Succeeded, w=55\",\"Find(1)=0, Find(2)=0, Add (1,2)=58 Failed, w=55\",\"Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=55\"],\"Answer\":55}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,3,37],[1,2,58],[1,3,73],[2,3,10]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=8,(2,3)=10,(0,3)=37,(1,2)=58,(1,3)=73]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=37 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(2)=0, Add (1,2)=58 Failed, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=55\"],\"Answer\":55}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,66],[0,2,10],[0,3,21],[1,2,21],[1,3,85],[1,4,56],[2,3,66],[2,4,67],[3,4,47]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,10],[0,3,21],[1,2,21],[1,3,85],[1,4,56],[2,3,66],[2,4,67],[3,4,47]]}", "role": "user" }, { "content": "{\"Answer\":99}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,10],[0,3,21],[1,2,21],[1,3,85],[1,4,56],[2,3,66],[2,4,67],[3,4,47]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (3,4)\"],\"Answer\":99}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,10],[0,3,21],[1,2,21],[1,3,85],[1,4,56],[2,3,66],[2,4,67],[3,4,47]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=10, w=10\",\"Add (0,3)=21, w=31\",\"Add (1,2)=21, w=52\",\"Add (3,4)=47, w=99\"],\"Answer\":99}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,10],[0,3,21],[1,2,21],[1,3,85],[1,4,56],[2,3,66],[2,4,67],[3,4,47]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=10 Succeeded, w=10\",\"Add (0,3)=21 Succeeded, w=31\",\"Add (1,2)=21 Succeeded, w=52\",\"Add (3,4)=47 Succeeded, w=99\",\"Add (1,4)=56 Failed, w=99\",\"Add (0,1)=66 Failed, w=99\",\"Add (2,3)=66 Failed, w=99\",\"Add (2,4)=67 Failed, w=99\",\"Add (1,3)=85 Failed, w=99\"],\"Answer\":99}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,10],[0,3,21],[1,2,21],[1,3,85],[1,4,56],[2,3,66],[2,4,67],[3,4,47]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=10,(0,3)=21,(1,2)=21,(3,4)=47,(1,4)=56,(0,1)=66,(2,3)=66,(2,4)=67,(1,3)=85]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=31\",\"Find(1)=1, Find(2)=0, Add (1,2)=21 Succeeded, w=52\",\"Find(3)=0, Find(4)=4, Add (3,4)=47 Succeeded, w=99\",\"Find(1)=0, Find(4)=0, Add (1,4)=56 Failed, w=99\",\"Find(0)=0, Find(1)=0, Add (0,1)=66 Failed, w=99\",\"Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=99\",\"Find(2)=0, Find(4)=0, Add (2,4)=67 Failed, w=99\",\"Find(1)=0, Find(3)=0, Add (1,3)=85 Failed, w=99\"],\"Answer\":99}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,10],[0,3,21],[1,2,21],[1,3,85],[1,4,56],[2,3,66],[2,4,67],[3,4,47]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=10,(0,3)=21,(1,2)=21,(3,4)=47,(1,4)=56,(0,1)=66,(2,3)=66,(2,4)=67,(1,3)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=1, Find(2)=0, Add (1,2)=21 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=47 Succeeded, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=56 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=66 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=67 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=85 Failed, w=99\"],\"Answer\":99}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,51],[0,2,43],[0,3,20],[0,4,35],[1,3,87],[1,4,38],[2,3,0],[2,4,2],[3,4,52]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,43],[0,3,20],[0,4,35],[1,3,87],[1,4,38],[2,3,0],[2,4,2],[3,4,52]]}", "role": "user" }, { "content": "{\"Answer\":60}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,43],[0,3,20],[0,4,35],[1,3,87],[1,4,38],[2,3,0],[2,4,2],[3,4,52]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (1,4)\"],\"Answer\":60}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,43],[0,3,20],[0,4,35],[1,3,87],[1,4,38],[2,3,0],[2,4,2],[3,4,52]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (2,4)=2, w=2\",\"Add (0,3)=20, w=22\",\"Add (1,4)=38, w=60\"],\"Answer\":60}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,43],[0,3,20],[0,4,35],[1,3,87],[1,4,38],[2,3,0],[2,4,2],[3,4,52]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (2,4)=2 Succeeded, w=2\",\"Add (0,3)=20 Succeeded, w=22\",\"Add (0,4)=35 Failed, w=22\",\"Add (1,4)=38 Succeeded, w=60\",\"Add (0,2)=43 Failed, w=60\",\"Add (0,1)=51 Failed, w=60\",\"Add (3,4)=52 Failed, w=60\",\"Add (1,3)=87 Failed, w=60\"],\"Answer\":60}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,43],[0,3,20],[0,4,35],[1,3,87],[1,4,38],[2,3,0],[2,4,2],[3,4,52]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=0,(2,4)=2,(0,3)=20,(0,4)=35,(1,4)=38,(0,2)=43,(0,1)=51,(3,4)=52,(1,3)=87]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=2, Add (0,3)=20 Succeeded, w=22\",\"Find(0)=2, Find(4)=2, Add (0,4)=35 Failed, w=22\",\"Find(1)=1, Find(4)=2, Add (1,4)=38 Succeeded, w=60\",\"Find(0)=2, Find(2)=2, Add (0,2)=43 Failed, w=60\",\"Find(0)=2, Find(1)=2, Add (0,1)=51 Failed, w=60\",\"Find(3)=2, Find(4)=2, Add (3,4)=52 Failed, w=60\",\"Find(1)=2, Find(3)=2, Add (1,3)=87 Failed, w=60\"],\"Answer\":60}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,43],[0,3,20],[0,4,35],[1,3,87],[1,4,38],[2,3,0],[2,4,2],[3,4,52]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=0,(2,4)=2,(0,3)=20,(0,4)=35,(1,4)=38,(0,2)=43,(0,1)=51,(3,4)=52,(1,3)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(3)=2, Add (0,3)=20 Succeeded, w=22\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=35 Failed, w=22\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=38 Succeeded, w=60\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=43 Failed, w=60\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=51 Failed, w=60\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=52 Failed, w=60\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=87 Failed, w=60\"],\"Answer\":60}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,9],[0,3,72],[0,4,19],[1,2,57],[1,4,76],[3,4,71]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,3,72],[0,4,19],[1,2,57],[1,4,76],[3,4,71]]}", "role": "user" }, { "content": "{\"Answer\":156}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,3,72],[0,4,19],[1,2,57],[1,4,76],[3,4,71]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (3,4)\"],\"Answer\":156}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,3,72],[0,4,19],[1,2,57],[1,4,76],[3,4,71]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=9, w=9\",\"Add (0,4)=19, w=28\",\"Add (1,2)=57, w=85\",\"Add (3,4)=71, w=156\"],\"Answer\":156}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,3,72],[0,4,19],[1,2,57],[1,4,76],[3,4,71]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=9 Succeeded, w=9\",\"Add (0,4)=19 Succeeded, w=28\",\"Add (1,2)=57 Succeeded, w=85\",\"Add (3,4)=71 Succeeded, w=156\",\"Add (0,3)=72 Failed, w=156\",\"Add (1,4)=76 Failed, w=156\"],\"Answer\":156}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,3,72],[0,4,19],[1,2,57],[1,4,76],[3,4,71]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=9,(0,4)=19,(1,2)=57,(3,4)=71,(0,3)=72,(1,4)=76]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=9\",\"Find(0)=0, Find(4)=4, Add (0,4)=19 Succeeded, w=28\",\"Find(1)=0, Find(2)=2, Add (1,2)=57 Succeeded, w=85\",\"Find(3)=3, Find(4)=0, Add (3,4)=71 Succeeded, w=156\",\"Find(0)=0, Find(3)=0, Add (0,3)=72 Failed, w=156\",\"Find(1)=0, Find(4)=0, Add (1,4)=76 Failed, w=156\"],\"Answer\":156}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,3,72],[0,4,19],[1,2,57],[1,4,76],[3,4,71]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=9,(0,4)=19,(1,2)=57,(3,4)=71,(0,3)=72,(1,4)=76]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=19 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(2)=2, Add (1,2)=57 Succeeded, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=71 Succeeded, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=72 Failed, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=76 Failed, w=156\"],\"Answer\":156}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,43],[0,2,33],[0,3,6],[0,4,61],[0,5,47],[0,6,66],[1,2,29],[1,3,74],[1,4,80],[1,5,66],[1,6,17],[2,3,93],[2,4,14],[2,5,31],[2,6,38],[3,4,7],[3,5,84],[3,6,50],[4,5,31],[4,6,55],[5,6,59]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,33],[0,3,6],[0,4,61],[0,5,47],[0,6,66],[1,2,29],[1,3,74],[1,4,80],[1,5,66],[1,6,17],[2,3,93],[2,4,14],[2,5,31],[2,6,38],[3,4,7],[3,5,84],[3,6,50],[4,5,31],[4,6,55],[5,6,59]]}", "role": "user" }, { "content": "{\"Answer\":104}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,33],[0,3,6],[0,4,61],[0,5,47],[0,6,66],[1,2,29],[1,3,74],[1,4,80],[1,5,66],[1,6,17],[2,3,93],[2,4,14],[2,5,31],[2,6,38],[3,4,7],[3,5,84],[3,6,50],[4,5,31],[4,6,55],[5,6,59]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (1,6)\",\"Add (1,2)\",\"Add (2,5)\"],\"Answer\":104}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,33],[0,3,6],[0,4,61],[0,5,47],[0,6,66],[1,2,29],[1,3,74],[1,4,80],[1,5,66],[1,6,17],[2,3,93],[2,4,14],[2,5,31],[2,6,38],[3,4,7],[3,5,84],[3,6,50],[4,5,31],[4,6,55],[5,6,59]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=6, w=6\",\"Add (3,4)=7, w=13\",\"Add (2,4)=14, w=27\",\"Add (1,6)=17, w=44\",\"Add (1,2)=29, w=73\",\"Add (2,5)=31, w=104\"],\"Answer\":104}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,33],[0,3,6],[0,4,61],[0,5,47],[0,6,66],[1,2,29],[1,3,74],[1,4,80],[1,5,66],[1,6,17],[2,3,93],[2,4,14],[2,5,31],[2,6,38],[3,4,7],[3,5,84],[3,6,50],[4,5,31],[4,6,55],[5,6,59]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=6 Succeeded, w=6\",\"Add (3,4)=7 Succeeded, w=13\",\"Add (2,4)=14 Succeeded, w=27\",\"Add (1,6)=17 Succeeded, w=44\",\"Add (1,2)=29 Succeeded, w=73\",\"Add (2,5)=31 Succeeded, w=104\",\"Add (4,5)=31 Failed, w=104\",\"Add (0,2)=33 Failed, w=104\",\"Add (2,6)=38 Failed, w=104\",\"Add (0,1)=43 Failed, w=104\",\"Add (0,5)=47 Failed, w=104\",\"Add (3,6)=50 Failed, w=104\",\"Add (4,6)=55 Failed, w=104\",\"Add (5,6)=59 Failed, w=104\",\"Add (0,4)=61 Failed, w=104\",\"Add (0,6)=66 Failed, w=104\",\"Add (1,5)=66 Failed, w=104\",\"Add (1,3)=74 Failed, w=104\",\"Add (1,4)=80 Failed, w=104\",\"Add (3,5)=84 Failed, w=104\",\"Add (2,3)=93 Failed, w=104\"],\"Answer\":104}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,33],[0,3,6],[0,4,61],[0,5,47],[0,6,66],[1,2,29],[1,3,74],[1,4,80],[1,5,66],[1,6,17],[2,3,93],[2,4,14],[2,5,31],[2,6,38],[3,4,7],[3,5,84],[3,6,50],[4,5,31],[4,6,55],[5,6,59]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=6,(3,4)=7,(2,4)=14,(1,6)=17,(1,2)=29,(2,5)=31,(4,5)=31,(0,2)=33,(2,6)=38,(0,1)=43,(0,5)=47,(3,6)=50,(4,6)=55,(5,6)=59,(0,4)=61,(0,6)=66,(1,5)=66,(1,3)=74,(1,4)=80,(3,5)=84,(2,3)=93]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Find(3)=0, Find(4)=4, Add (3,4)=7 Succeeded, w=13\",\"Find(2)=2, Find(4)=0, Add (2,4)=14 Succeeded, w=27\",\"Find(1)=1, Find(6)=6, Add (1,6)=17 Succeeded, w=44\",\"Find(1)=1, Find(2)=0, Add (1,2)=29 Succeeded, w=73\",\"Find(2)=1, Find(5)=5, Add (2,5)=31 Succeeded, w=104\",\"Find(4)=1, Find(5)=1, Add (4,5)=31 Failed, w=104\",\"Find(0)=1, Find(2)=1, Add (0,2)=33 Failed, w=104\",\"Find(2)=1, Find(6)=1, Add (2,6)=38 Failed, w=104\",\"Find(0)=1, Find(1)=1, Add (0,1)=43 Failed, w=104\",\"Find(0)=1, Find(5)=1, Add (0,5)=47 Failed, w=104\",\"Find(3)=1, Find(6)=1, Add (3,6)=50 Failed, w=104\",\"Find(4)=1, Find(6)=1, Add (4,6)=55 Failed, w=104\",\"Find(5)=1, Find(6)=1, Add (5,6)=59 Failed, w=104\",\"Find(0)=1, Find(4)=1, Add (0,4)=61 Failed, w=104\",\"Find(0)=1, Find(6)=1, Add (0,6)=66 Failed, w=104\",\"Find(1)=1, Find(5)=1, Add (1,5)=66 Failed, w=104\",\"Find(1)=1, Find(3)=1, Add (1,3)=74 Failed, w=104\",\"Find(1)=1, Find(4)=1, Add (1,4)=80 Failed, w=104\",\"Find(3)=1, Find(5)=1, Add (3,5)=84 Failed, w=104\",\"Find(2)=1, Find(3)=1, Add (2,3)=93 Failed, w=104\"],\"Answer\":104}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,33],[0,3,6],[0,4,61],[0,5,47],[0,6,66],[1,2,29],[1,3,74],[1,4,80],[1,5,66],[1,6,17],[2,3,93],[2,4,14],[2,5,31],[2,6,38],[3,4,7],[3,5,84],[3,6,50],[4,5,31],[4,6,55],[5,6,59]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=6,(3,4)=7,(2,4)=14,(1,6)=17,(1,2)=29,(2,5)=31,(4,5)=31,(0,2)=33,(2,6)=38,(0,1)=43,(0,5)=47,(3,6)=50,(4,6)=55,(5,6)=59,(0,4)=61,(0,6)=66,(1,5)=66,(1,3)=74,(1,4)=80,(3,5)=84,(2,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 6}, Find(3)=0, Find(4)=4, Add (3,4)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6}, Find(2)=2, Find(4)=0, Add (2,4)=14 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=17 Succeeded, w=44\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 1}, Find(1)=1, Find(2)=0, Add (1,2)=29 Succeeded, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0, 5: 1, 6: 1}, Find(2)=1, Find(5)=5, Add (2,5)=31 Succeeded, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=31 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=33 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=38 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=43 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=47 Failed, w=104\",\"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=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=55 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=59 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=61 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=66 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=66 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=74 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=80 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=84 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=93 Failed, w=104\"],\"Answer\":104}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,78],[0,2,76],[0,3,41],[0,4,55],[0,6,37],[1,2,51],[1,4,23],[1,5,23],[1,6,79],[2,3,85],[2,4,49],[2,5,81],[3,4,97],[3,5,39],[4,6,45],[5,6,91]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,76],[0,3,41],[0,4,55],[0,6,37],[1,2,51],[1,4,23],[1,5,23],[1,6,79],[2,3,85],[2,4,49],[2,5,81],[3,4,97],[3,5,39],[4,6,45],[5,6,91]]}", "role": "user" }, { "content": "{\"Answer\":212}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,76],[0,3,41],[0,4,55],[0,6,37],[1,2,51],[1,4,23],[1,5,23],[1,6,79],[2,3,85],[2,4,49],[2,5,81],[3,4,97],[3,5,39],[4,6,45],[5,6,91]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)\",\"Add (1,5)\",\"Add (0,6)\",\"Add (3,5)\",\"Add (0,3)\",\"Add (2,4)\"],\"Answer\":212}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,76],[0,3,41],[0,4,55],[0,6,37],[1,2,51],[1,4,23],[1,5,23],[1,6,79],[2,3,85],[2,4,49],[2,5,81],[3,4,97],[3,5,39],[4,6,45],[5,6,91]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=23, w=23\",\"Add (1,5)=23, w=46\",\"Add (0,6)=37, w=83\",\"Add (3,5)=39, w=122\",\"Add (0,3)=41, w=163\",\"Add (2,4)=49, w=212\"],\"Answer\":212}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,76],[0,3,41],[0,4,55],[0,6,37],[1,2,51],[1,4,23],[1,5,23],[1,6,79],[2,3,85],[2,4,49],[2,5,81],[3,4,97],[3,5,39],[4,6,45],[5,6,91]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=23 Succeeded, w=23\",\"Add (1,5)=23 Succeeded, w=46\",\"Add (0,6)=37 Succeeded, w=83\",\"Add (3,5)=39 Succeeded, w=122\",\"Add (0,3)=41 Succeeded, w=163\",\"Add (4,6)=45 Failed, w=163\",\"Add (2,4)=49 Succeeded, w=212\",\"Add (1,2)=51 Failed, w=212\",\"Add (0,4)=55 Failed, w=212\",\"Add (0,2)=76 Failed, w=212\",\"Add (0,1)=78 Failed, w=212\",\"Add (1,6)=79 Failed, w=212\",\"Add (2,5)=81 Failed, w=212\",\"Add (2,3)=85 Failed, w=212\",\"Add (5,6)=91 Failed, w=212\",\"Add (3,4)=97 Failed, w=212\"],\"Answer\":212}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,76],[0,3,41],[0,4,55],[0,6,37],[1,2,51],[1,4,23],[1,5,23],[1,6,79],[2,3,85],[2,4,49],[2,5,81],[3,4,97],[3,5,39],[4,6,45],[5,6,91]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=23,(1,5)=23,(0,6)=37,(3,5)=39,(0,3)=41,(4,6)=45,(2,4)=49,(1,2)=51,(0,4)=55,(0,2)=76,(0,1)=78,(1,6)=79,(2,5)=81,(2,3)=85,(5,6)=91,(3,4)=97]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=23 Succeeded, w=23\",\"Find(1)=1, Find(5)=5, Add (1,5)=23 Succeeded, w=46\",\"Find(0)=0, Find(6)=6, Add (0,6)=37 Succeeded, w=83\",\"Find(3)=3, Find(5)=1, Add (3,5)=39 Succeeded, w=122\",\"Find(0)=0, Find(3)=1, Add (0,3)=41 Succeeded, w=163\",\"Find(4)=0, Find(6)=0, Add (4,6)=45 Failed, w=163\",\"Find(2)=2, Find(4)=0, Add (2,4)=49 Succeeded, w=212\",\"Find(1)=0, Find(2)=0, Add (1,2)=51 Failed, w=212\",\"Find(0)=0, Find(4)=0, Add (0,4)=55 Failed, w=212\",\"Find(0)=0, Find(2)=0, Add (0,2)=76 Failed, w=212\",\"Find(0)=0, Find(1)=0, Add (0,1)=78 Failed, w=212\",\"Find(1)=0, Find(6)=0, Add (1,6)=79 Failed, w=212\",\"Find(2)=0, Find(5)=0, Add (2,5)=81 Failed, w=212\",\"Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=212\",\"Find(5)=0, Find(6)=0, Add (5,6)=91 Failed, w=212\",\"Find(3)=0, Find(4)=0, Add (3,4)=97 Failed, w=212\"],\"Answer\":212}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,76],[0,3,41],[0,4,55],[0,6,37],[1,2,51],[1,4,23],[1,5,23],[1,6,79],[2,3,85],[2,4,49],[2,5,81],[3,4,97],[3,5,39],[4,6,45],[5,6,91]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=23,(1,5)=23,(0,6)=37,(3,5)=39,(0,3)=41,(4,6)=45,(2,4)=49,(1,2)=51,(0,4)=55,(0,2)=76,(0,1)=78,(1,6)=79,(2,5)=81,(2,3)=85,(5,6)=91,(3,4)=97]\",\"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)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=23 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=37 Succeeded, w=83\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 0}, Find(3)=3, Find(5)=1, Add (3,5)=39 Succeeded, w=122\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 1, 5: 1, 6: 0}, Find(0)=0, Find(3)=1, Add (0,3)=41 Succeeded, w=163\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0, 5: 1, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=45 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 1, 6: 0}, Find(2)=2, Find(4)=0, Add (2,4)=49 Succeeded, w=212\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 1, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=51 Failed, w=212\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 1, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=55 Failed, w=212\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 1, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=76 Failed, w=212\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 1, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=78 Failed, w=212\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 1, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=79 Failed, w=212\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=81 Failed, w=212\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=212\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=91 Failed, w=212\",\"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=212\"],\"Answer\":212}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,42],[0,2,9],[0,4,80],[0,5,28],[0,6,85],[0,7,87],[1,2,39],[1,3,50],[1,4,7],[1,6,8],[1,7,4],[2,4,84],[2,5,1],[3,5,61],[3,6,88],[3,7,27],[4,7,77],[5,6,4],[5,7,58]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,2,9],[0,4,80],[0,5,28],[0,6,85],[0,7,87],[1,2,39],[1,3,50],[1,4,7],[1,6,8],[1,7,4],[2,4,84],[2,5,1],[3,5,61],[3,6,88],[3,7,27],[4,7,77],[5,6,4],[5,7,58]]}", "role": "user" }, { "content": "{\"Answer\":60}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,2,9],[0,4,80],[0,5,28],[0,6,85],[0,7,87],[1,2,39],[1,3,50],[1,4,7],[1,6,8],[1,7,4],[2,4,84],[2,5,1],[3,5,61],[3,6,88],[3,7,27],[4,7,77],[5,6,4],[5,7,58]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)\",\"Add (1,7)\",\"Add (5,6)\",\"Add (1,4)\",\"Add (1,6)\",\"Add (0,2)\",\"Add (3,7)\"],\"Answer\":60}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,2,9],[0,4,80],[0,5,28],[0,6,85],[0,7,87],[1,2,39],[1,3,50],[1,4,7],[1,6,8],[1,7,4],[2,4,84],[2,5,1],[3,5,61],[3,6,88],[3,7,27],[4,7,77],[5,6,4],[5,7,58]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=1, w=1\",\"Add (1,7)=4, w=5\",\"Add (5,6)=4, w=9\",\"Add (1,4)=7, w=16\",\"Add (1,6)=8, w=24\",\"Add (0,2)=9, w=33\",\"Add (3,7)=27, w=60\"],\"Answer\":60}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,2,9],[0,4,80],[0,5,28],[0,6,85],[0,7,87],[1,2,39],[1,3,50],[1,4,7],[1,6,8],[1,7,4],[2,4,84],[2,5,1],[3,5,61],[3,6,88],[3,7,27],[4,7,77],[5,6,4],[5,7,58]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=1 Succeeded, w=1\",\"Add (1,7)=4 Succeeded, w=5\",\"Add (5,6)=4 Succeeded, w=9\",\"Add (1,4)=7 Succeeded, w=16\",\"Add (1,6)=8 Succeeded, w=24\",\"Add (0,2)=9 Succeeded, w=33\",\"Add (3,7)=27 Succeeded, w=60\",\"Add (0,5)=28 Failed, w=60\",\"Add (1,2)=39 Failed, w=60\",\"Add (0,1)=42 Failed, w=60\",\"Add (1,3)=50 Failed, w=60\",\"Add (5,7)=58 Failed, w=60\",\"Add (3,5)=61 Failed, w=60\",\"Add (4,7)=77 Failed, w=60\",\"Add (0,4)=80 Failed, w=60\",\"Add (2,4)=84 Failed, w=60\",\"Add (0,6)=85 Failed, w=60\",\"Add (0,7)=87 Failed, w=60\",\"Add (3,6)=88 Failed, w=60\"],\"Answer\":60}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,2,9],[0,4,80],[0,5,28],[0,6,85],[0,7,87],[1,2,39],[1,3,50],[1,4,7],[1,6,8],[1,7,4],[2,4,84],[2,5,1],[3,5,61],[3,6,88],[3,7,27],[4,7,77],[5,6,4],[5,7,58]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=1,(1,7)=4,(5,6)=4,(1,4)=7,(1,6)=8,(0,2)=9,(3,7)=27,(0,5)=28,(1,2)=39,(0,1)=42,(1,3)=50,(5,7)=58,(3,5)=61,(4,7)=77,(0,4)=80,(2,4)=84,(0,6)=85,(0,7)=87,(3,6)=88]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=1\",\"Find(1)=1, Find(7)=7, Add (1,7)=4 Succeeded, w=5\",\"Find(5)=2, Find(6)=6, Add (5,6)=4 Succeeded, w=9\",\"Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=16\",\"Find(1)=1, Find(6)=2, Add (1,6)=8 Succeeded, w=24\",\"Find(0)=0, Find(2)=1, Add (0,2)=9 Succeeded, w=33\",\"Find(3)=3, Find(7)=1, Add (3,7)=27 Succeeded, w=60\",\"Find(0)=1, Find(5)=1, Add (0,5)=28 Failed, w=60\",\"Find(1)=1, Find(2)=1, Add (1,2)=39 Failed, w=60\",\"Find(0)=1, Find(1)=1, Add (0,1)=42 Failed, w=60\",\"Find(1)=1, Find(3)=1, Add (1,3)=50 Failed, w=60\",\"Find(5)=1, Find(7)=1, Add (5,7)=58 Failed, w=60\",\"Find(3)=1, Find(5)=1, Add (3,5)=61 Failed, w=60\",\"Find(4)=1, Find(7)=1, Add (4,7)=77 Failed, w=60\",\"Find(0)=1, Find(4)=1, Add (0,4)=80 Failed, w=60\",\"Find(2)=1, Find(4)=1, Add (2,4)=84 Failed, w=60\",\"Find(0)=1, Find(6)=1, Add (0,6)=85 Failed, w=60\",\"Find(0)=1, Find(7)=1, Add (0,7)=87 Failed, w=60\",\"Find(3)=1, Find(6)=1, Add (3,6)=88 Failed, w=60\"],\"Answer\":60}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,2,9],[0,4,80],[0,5,28],[0,6,85],[0,7,87],[1,2,39],[1,3,50],[1,4,7],[1,6,8],[1,7,4],[2,4,84],[2,5,1],[3,5,61],[3,6,88],[3,7,27],[4,7,77],[5,6,4],[5,7,58]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=1,(1,7)=4,(5,6)=4,(1,4)=7,(1,6)=8,(0,2)=9,(3,7)=27,(0,5)=28,(1,2)=39,(0,1)=42,(1,3)=50,(5,7)=58,(3,5)=61,(4,7)=77,(0,4)=80,(2,4)=84,(0,6)=85,(0,7)=87,(3,6)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2, 7: 1}, Find(5)=2, Find(6)=6, Add (5,6)=4 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 2, 7: 1}, Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 2, 6: 2, 7: 1}, Find(1)=1, Find(6)=2, Add (1,6)=8 Succeeded, w=24\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 2, 6: 2, 7: 1}, Find(0)=0, Find(2)=1, Add (0,2)=9 Succeeded, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 2, 7: 1}, Find(3)=3, Find(7)=1, Add (3,7)=27 Succeeded, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=28 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=39 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=42 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(1)=1, Find(3)=1, Add (1,3)=50 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=58 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=61 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=77 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=80 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=84 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=85 Failed, w=60\",\"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)=87 Failed, w=60\",\"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)=88 Failed, w=60\"],\"Answer\":60}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,84],[0,3,57],[0,4,3],[0,6,26],[0,7,85],[1,3,70],[1,5,9],[1,7,49],[2,3,88],[2,4,0],[3,4,36],[3,6,4],[3,7,63],[4,5,60],[5,6,70],[5,7,84],[6,7,9]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,84],[0,3,57],[0,4,3],[0,6,26],[0,7,85],[1,3,70],[1,5,9],[1,7,49],[2,3,88],[2,4,0],[3,4,36],[3,6,4],[3,7,63],[4,5,60],[5,6,70],[5,7,84],[6,7,9]]}", "role": "user" }, { "content": "{\"Answer\":100}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,84],[0,3,57],[0,4,3],[0,6,26],[0,7,85],[1,3,70],[1,5,9],[1,7,49],[2,3,88],[2,4,0],[3,4,36],[3,6,4],[3,7,63],[4,5,60],[5,6,70],[5,7,84],[6,7,9]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)\",\"Add (0,4)\",\"Add (3,6)\",\"Add (1,5)\",\"Add (6,7)\",\"Add (0,6)\",\"Add (1,7)\"],\"Answer\":100}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,84],[0,3,57],[0,4,3],[0,6,26],[0,7,85],[1,3,70],[1,5,9],[1,7,49],[2,3,88],[2,4,0],[3,4,36],[3,6,4],[3,7,63],[4,5,60],[5,6,70],[5,7,84],[6,7,9]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=0, w=0\",\"Add (0,4)=3, w=3\",\"Add (3,6)=4, w=7\",\"Add (1,5)=9, w=16\",\"Add (6,7)=9, w=25\",\"Add (0,6)=26, w=51\",\"Add (1,7)=49, w=100\"],\"Answer\":100}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,84],[0,3,57],[0,4,3],[0,6,26],[0,7,85],[1,3,70],[1,5,9],[1,7,49],[2,3,88],[2,4,0],[3,4,36],[3,6,4],[3,7,63],[4,5,60],[5,6,70],[5,7,84],[6,7,9]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=0 Succeeded, w=0\",\"Add (0,4)=3 Succeeded, w=3\",\"Add (3,6)=4 Succeeded, w=7\",\"Add (1,5)=9 Succeeded, w=16\",\"Add (6,7)=9 Succeeded, w=25\",\"Add (0,6)=26 Succeeded, w=51\",\"Add (3,4)=36 Failed, w=51\",\"Add (1,7)=49 Succeeded, w=100\",\"Add (0,3)=57 Failed, w=100\",\"Add (4,5)=60 Failed, w=100\",\"Add (3,7)=63 Failed, w=100\",\"Add (1,3)=70 Failed, w=100\",\"Add (5,6)=70 Failed, w=100\",\"Add (0,2)=84 Failed, w=100\",\"Add (5,7)=84 Failed, w=100\",\"Add (0,7)=85 Failed, w=100\",\"Add (2,3)=88 Failed, w=100\"],\"Answer\":100}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,84],[0,3,57],[0,4,3],[0,6,26],[0,7,85],[1,3,70],[1,5,9],[1,7,49],[2,3,88],[2,4,0],[3,4,36],[3,6,4],[3,7,63],[4,5,60],[5,6,70],[5,7,84],[6,7,9]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=0,(0,4)=3,(3,6)=4,(1,5)=9,(6,7)=9,(0,6)=26,(3,4)=36,(1,7)=49,(0,3)=57,(4,5)=60,(3,7)=63,(1,3)=70,(5,6)=70,(0,2)=84,(5,7)=84,(0,7)=85,(2,3)=88]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(4)=2, Add (0,4)=3 Succeeded, w=3\",\"Find(3)=3, Find(6)=6, Add (3,6)=4 Succeeded, w=7\",\"Find(1)=1, Find(5)=5, Add (1,5)=9 Succeeded, w=16\",\"Find(6)=3, Find(7)=7, Add (6,7)=9 Succeeded, w=25\",\"Find(0)=2, Find(6)=3, Add (0,6)=26 Succeeded, w=51\",\"Find(3)=2, Find(4)=2, Add (3,4)=36 Failed, w=51\",\"Find(1)=1, Find(7)=2, Add (1,7)=49 Succeeded, w=100\",\"Find(0)=2, Find(3)=2, Add (0,3)=57 Failed, w=100\",\"Find(4)=2, Find(5)=2, Add (4,5)=60 Failed, w=100\",\"Find(3)=2, Find(7)=2, Add (3,7)=63 Failed, w=100\",\"Find(1)=2, Find(3)=2, Add (1,3)=70 Failed, w=100\",\"Find(5)=2, Find(6)=2, Add (5,6)=70 Failed, w=100\",\"Find(0)=2, Find(2)=2, Add (0,2)=84 Failed, w=100\",\"Find(5)=2, Find(7)=2, Add (5,7)=84 Failed, w=100\",\"Find(0)=2, Find(7)=2, Add (0,7)=85 Failed, w=100\",\"Find(2)=2, Find(3)=2, Add (2,3)=88 Failed, w=100\"],\"Answer\":100}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,84],[0,3,57],[0,4,3],[0,6,26],[0,7,85],[1,3,70],[1,5,9],[1,7,49],[2,3,88],[2,4,0],[3,4,36],[3,6,4],[3,7,63],[4,5,60],[5,6,70],[5,7,84],[6,7,9]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=0,(0,4)=3,(3,6)=4,(1,5)=9,(6,7)=9,(0,6)=26,(3,4)=36,(1,7)=49,(0,3)=57,(4,5)=60,(3,7)=63,(1,3)=70,(5,6)=70,(0,2)=84,(5,7)=84,(0,7)=85,(2,3)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=2, Add (0,4)=3 Succeeded, w=3\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=4 Succeeded, w=7\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 3, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=9 Succeeded, w=16\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 3, 7: 3}, Find(6)=3, Find(7)=7, Add (6,7)=9 Succeeded, w=25\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1, 6: 3, 7: 3}, Find(0)=2, Find(6)=3, Add (0,6)=26 Succeeded, w=51\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1, 6: 3, 7: 3}, Find(3)=2, Find(4)=2, Add (3,4)=36 Failed, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 3, 7: 2}, Find(1)=1, Find(7)=2, Add (1,7)=49 Succeeded, w=100\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 3, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=57 Failed, w=100\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=60 Failed, w=100\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=63 Failed, w=100\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=70 Failed, w=100\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=70 Failed, w=100\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=84 Failed, w=100\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=84 Failed, w=100\",\"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)=85 Failed, w=100\",\"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)=88 Failed, w=100\"],\"Answer\":100}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,78],[0,2,68],[0,3,70],[0,4,56],[0,6,73],[0,7,68],[1,2,0],[1,4,0],[1,5,30],[1,7,51],[2,3,98],[2,4,19],[2,6,46],[2,7,76],[3,4,21],[3,5,56],[3,7,49],[4,5,65],[4,6,30],[4,7,29],[5,6,49],[5,7,14],[6,7,91]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,68],[0,3,70],[0,4,56],[0,6,73],[0,7,68],[1,2,0],[1,4,0],[1,5,30],[1,7,51],[2,3,98],[2,4,19],[2,6,46],[2,7,76],[3,4,21],[3,5,56],[3,7,49],[4,5,65],[4,6,30],[4,7,29],[5,6,49],[5,7,14],[6,7,91]]}", "role": "user" }, { "content": "{\"Answer\":150}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,68],[0,3,70],[0,4,56],[0,6,73],[0,7,68],[1,2,0],[1,4,0],[1,5,30],[1,7,51],[2,3,98],[2,4,19],[2,6,46],[2,7,76],[3,4,21],[3,5,56],[3,7,49],[4,5,65],[4,6,30],[4,7,29],[5,6,49],[5,7,14],[6,7,91]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (1,4)\",\"Add (5,7)\",\"Add (3,4)\",\"Add (4,7)\",\"Add (4,6)\",\"Add (0,4)\"],\"Answer\":150}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,68],[0,3,70],[0,4,56],[0,6,73],[0,7,68],[1,2,0],[1,4,0],[1,5,30],[1,7,51],[2,3,98],[2,4,19],[2,6,46],[2,7,76],[3,4,21],[3,5,56],[3,7,49],[4,5,65],[4,6,30],[4,7,29],[5,6,49],[5,7,14],[6,7,91]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (1,4)=0, w=0\",\"Add (5,7)=14, w=14\",\"Add (3,4)=21, w=35\",\"Add (4,7)=29, w=64\",\"Add (4,6)=30, w=94\",\"Add (0,4)=56, w=150\"],\"Answer\":150}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,68],[0,3,70],[0,4,56],[0,6,73],[0,7,68],[1,2,0],[1,4,0],[1,5,30],[1,7,51],[2,3,98],[2,4,19],[2,6,46],[2,7,76],[3,4,21],[3,5,56],[3,7,49],[4,5,65],[4,6,30],[4,7,29],[5,6,49],[5,7,14],[6,7,91]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (1,4)=0 Succeeded, w=0\",\"Add (5,7)=14 Succeeded, w=14\",\"Add (2,4)=19 Failed, w=14\",\"Add (3,4)=21 Succeeded, w=35\",\"Add (4,7)=29 Succeeded, w=64\",\"Add (1,5)=30 Failed, w=64\",\"Add (4,6)=30 Succeeded, w=94\",\"Add (2,6)=46 Failed, w=94\",\"Add (3,7)=49 Failed, w=94\",\"Add (5,6)=49 Failed, w=94\",\"Add (1,7)=51 Failed, w=94\",\"Add (0,4)=56 Succeeded, w=150\",\"Add (3,5)=56 Failed, w=150\",\"Add (4,5)=65 Failed, w=150\",\"Add (0,2)=68 Failed, w=150\",\"Add (0,7)=68 Failed, w=150\",\"Add (0,3)=70 Failed, w=150\",\"Add (0,6)=73 Failed, w=150\",\"Add (2,7)=76 Failed, w=150\",\"Add (0,1)=78 Failed, w=150\",\"Add (6,7)=91 Failed, w=150\",\"Add (2,3)=98 Failed, w=150\"],\"Answer\":150}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,68],[0,3,70],[0,4,56],[0,6,73],[0,7,68],[1,2,0],[1,4,0],[1,5,30],[1,7,51],[2,3,98],[2,4,19],[2,6,46],[2,7,76],[3,4,21],[3,5,56],[3,7,49],[4,5,65],[4,6,30],[4,7,29],[5,6,49],[5,7,14],[6,7,91]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=0,(1,4)=0,(5,7)=14,(2,4)=19,(3,4)=21,(4,7)=29,(1,5)=30,(4,6)=30,(2,6)=46,(3,7)=49,(5,6)=49,(1,7)=51,(0,4)=56,(3,5)=56,(4,5)=65,(0,2)=68,(0,7)=68,(0,3)=70,(0,6)=73,(2,7)=76,(0,1)=78,(6,7)=91,(2,3)=98]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(5)=5, Find(7)=7, Add (5,7)=14 Succeeded, w=14\",\"Find(2)=1, Find(4)=1, Add (2,4)=19 Failed, w=14\",\"Find(3)=3, Find(4)=1, Add (3,4)=21 Succeeded, w=35\",\"Find(4)=1, Find(7)=5, Add (4,7)=29 Succeeded, w=64\",\"Find(1)=1, Find(5)=1, Add (1,5)=30 Failed, w=64\",\"Find(4)=1, Find(6)=6, Add (4,6)=30 Succeeded, w=94\",\"Find(2)=1, Find(6)=1, Add (2,6)=46 Failed, w=94\",\"Find(3)=1, Find(7)=1, Add (3,7)=49 Failed, w=94\",\"Find(5)=1, Find(6)=1, Add (5,6)=49 Failed, w=94\",\"Find(1)=1, Find(7)=1, Add (1,7)=51 Failed, w=94\",\"Find(0)=0, Find(4)=1, Add (0,4)=56 Succeeded, w=150\",\"Find(3)=1, Find(5)=1, Add (3,5)=56 Failed, w=150\",\"Find(4)=1, Find(5)=1, Add (4,5)=65 Failed, w=150\",\"Find(0)=1, Find(2)=1, Add (0,2)=68 Failed, w=150\",\"Find(0)=1, Find(7)=1, Add (0,7)=68 Failed, w=150\",\"Find(0)=1, Find(3)=1, Add (0,3)=70 Failed, w=150\",\"Find(0)=1, Find(6)=1, Add (0,6)=73 Failed, w=150\",\"Find(2)=1, Find(7)=1, Add (2,7)=76 Failed, w=150\",\"Find(0)=1, Find(1)=1, Add (0,1)=78 Failed, w=150\",\"Find(6)=1, Find(7)=1, Add (6,7)=91 Failed, w=150\",\"Find(2)=1, Find(3)=1, Add (2,3)=98 Failed, w=150\"],\"Answer\":150}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,68],[0,3,70],[0,4,56],[0,6,73],[0,7,68],[1,2,0],[1,4,0],[1,5,30],[1,7,51],[2,3,98],[2,4,19],[2,6,46],[2,7,76],[3,4,21],[3,5,56],[3,7,49],[4,5,65],[4,6,30],[4,7,29],[5,6,49],[5,7,14],[6,7,91]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=0,(1,4)=0,(5,7)=14,(2,4)=19,(3,4)=21,(4,7)=29,(1,5)=30,(4,6)=30,(2,6)=46,(3,7)=49,(5,6)=49,(1,7)=51,(0,4)=56,(3,5)=56,(4,5)=65,(0,2)=68,(0,7)=68,(0,3)=70,(0,6)=73,(2,7)=76,(0,1)=78,(6,7)=91,(2,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 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: 5}, Find(5)=5, Find(7)=7, Add (5,7)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 6, 7: 5}, Find(2)=1, Find(4)=1, Add (2,4)=19 Failed, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6, 7: 5}, Find(3)=3, Find(4)=1, Add (3,4)=21 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 5}, Find(4)=1, Find(7)=5, Add (4,7)=29 Succeeded, w=64\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 5}, Find(1)=1, Find(5)=1, Add (1,5)=30 Failed, w=64\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(4)=1, Find(6)=6, Add (4,6)=30 Succeeded, w=94\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(2)=1, Find(6)=1, Add (2,6)=46 Failed, w=94\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=49 Failed, w=94\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=49 Failed, w=94\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=51 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=0, Find(4)=1, Add (0,4)=56 Succeeded, w=150\",\"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)=56 Failed, w=150\",\"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)=65 Failed, w=150\",\"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)=68 Failed, w=150\",\"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)=68 Failed, w=150\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=70 Failed, w=150\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=73 Failed, w=150\",\"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)=76 Failed, w=150\",\"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)=78 Failed, w=150\",\"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)=91 Failed, w=150\",\"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)=98 Failed, w=150\"],\"Answer\":150}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[1,2,1],[1,3,42]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,1],[1,3,42]]}", "role": "user" }, { "content": "{\"Answer\":43}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,1],[1,3,42]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":43}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,1],[1,3,42]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (1,3)=42, w=43\"],\"Answer\":43}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,1],[1,3,42]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (1,3)=42 Succeeded, w=43\"],\"Answer\":43}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,1],[1,3,42]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=1,(1,3)=42]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=42 Succeeded, w=43\"],\"Answer\":43}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,1],[1,3,42]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=1,(1,3)=42]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=42 Succeeded, w=43\"],\"Answer\":43}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,10],[0,3,64],[0,4,75],[0,5,20],[1,3,91],[2,3,81],[3,4,69],[3,5,99]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,3,64],[0,4,75],[0,5,20],[1,3,91],[2,3,81],[3,4,69],[3,5,99]]}", "role": "user" }, { "content": "{\"Answer\":244}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,3,64],[0,4,75],[0,5,20],[1,3,91],[2,3,81],[3,4,69],[3,5,99]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (0,5)\",\"Add (0,3)\",\"Add (3,4)\",\"Add (2,3)\"],\"Answer\":244}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,3,64],[0,4,75],[0,5,20],[1,3,91],[2,3,81],[3,4,69],[3,5,99]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=10, w=10\",\"Add (0,5)=20, w=30\",\"Add (0,3)=64, w=94\",\"Add (3,4)=69, w=163\",\"Add (2,3)=81, w=244\"],\"Answer\":244}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,3,64],[0,4,75],[0,5,20],[1,3,91],[2,3,81],[3,4,69],[3,5,99]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=10 Succeeded, w=10\",\"Add (0,5)=20 Succeeded, w=30\",\"Add (0,3)=64 Succeeded, w=94\",\"Add (3,4)=69 Succeeded, w=163\",\"Add (0,4)=75 Failed, w=163\",\"Add (2,3)=81 Succeeded, w=244\",\"Add (1,3)=91 Failed, w=244\",\"Add (3,5)=99 Failed, w=244\"],\"Answer\":244}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,3,64],[0,4,75],[0,5,20],[1,3,91],[2,3,81],[3,4,69],[3,5,99]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=10,(0,5)=20,(0,3)=64,(3,4)=69,(0,4)=75,(2,3)=81,(1,3)=91,(3,5)=99]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Find(0)=0, Find(5)=5, Add (0,5)=20 Succeeded, w=30\",\"Find(0)=0, Find(3)=3, Add (0,3)=64 Succeeded, w=94\",\"Find(3)=0, Find(4)=4, Add (3,4)=69 Succeeded, w=163\",\"Find(0)=0, Find(4)=0, Add (0,4)=75 Failed, w=163\",\"Find(2)=2, Find(3)=0, Add (2,3)=81 Succeeded, w=244\",\"Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=244\",\"Find(3)=0, Find(5)=0, Add (3,5)=99 Failed, w=244\"],\"Answer\":244}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,3,64],[0,4,75],[0,5,20],[1,3,91],[2,3,81],[3,4,69],[3,5,99]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=10,(0,5)=20,(0,3)=64,(3,4)=69,(0,4)=75,(2,3)=81,(1,3)=91,(3,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=20 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(3)=3, Add (0,3)=64 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=4, Add (3,4)=69 Succeeded, w=163\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=75 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(3)=0, Add (2,3)=81 Succeeded, w=244\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=244\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=99 Failed, w=244\"],\"Answer\":244}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,40],[0,4,28],[0,6,58],[1,2,1],[1,3,62],[1,4,90],[1,6,62],[2,3,25],[2,6,56],[4,5,50],[4,6,49]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,4,28],[0,6,58],[1,2,1],[1,3,62],[1,4,90],[1,6,62],[2,3,25],[2,6,56],[4,5,50],[4,6,49]]}", "role": "user" }, { "content": "{\"Answer\":193}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,4,28],[0,6,58],[1,2,1],[1,3,62],[1,4,90],[1,6,62],[2,3,25],[2,6,56],[4,5,50],[4,6,49]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,4)\",\"Add (0,1)\",\"Add (4,6)\",\"Add (4,5)\"],\"Answer\":193}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,4,28],[0,6,58],[1,2,1],[1,3,62],[1,4,90],[1,6,62],[2,3,25],[2,6,56],[4,5,50],[4,6,49]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (2,3)=25, w=26\",\"Add (0,4)=28, w=54\",\"Add (0,1)=40, w=94\",\"Add (4,6)=49, w=143\",\"Add (4,5)=50, w=193\"],\"Answer\":193}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,4,28],[0,6,58],[1,2,1],[1,3,62],[1,4,90],[1,6,62],[2,3,25],[2,6,56],[4,5,50],[4,6,49]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (2,3)=25 Succeeded, w=26\",\"Add (0,4)=28 Succeeded, w=54\",\"Add (0,1)=40 Succeeded, w=94\",\"Add (4,6)=49 Succeeded, w=143\",\"Add (4,5)=50 Succeeded, w=193\",\"Add (2,6)=56 Failed, w=193\",\"Add (0,6)=58 Failed, w=193\",\"Add (1,3)=62 Failed, w=193\",\"Add (1,6)=62 Failed, w=193\",\"Add (1,4)=90 Failed, w=193\"],\"Answer\":193}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,4,28],[0,6,58],[1,2,1],[1,3,62],[1,4,90],[1,6,62],[2,3,25],[2,6,56],[4,5,50],[4,6,49]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=1,(2,3)=25,(0,4)=28,(0,1)=40,(4,6)=49,(4,5)=50,(2,6)=56,(0,6)=58,(1,3)=62,(1,6)=62,(1,4)=90]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(2)=1, Find(3)=3, Add (2,3)=25 Succeeded, w=26\",\"Find(0)=0, Find(4)=4, Add (0,4)=28 Succeeded, w=54\",\"Find(0)=0, Find(1)=1, Add (0,1)=40 Succeeded, w=94\",\"Find(4)=0, Find(6)=6, Add (4,6)=49 Succeeded, w=143\",\"Find(4)=0, Find(5)=5, Add (4,5)=50 Succeeded, w=193\",\"Find(2)=0, Find(6)=0, Add (2,6)=56 Failed, w=193\",\"Find(0)=0, Find(6)=0, Add (0,6)=58 Failed, w=193\",\"Find(1)=0, Find(3)=0, Add (1,3)=62 Failed, w=193\",\"Find(1)=0, Find(6)=0, Add (1,6)=62 Failed, w=193\",\"Find(1)=0, Find(4)=0, Add (1,4)=90 Failed, w=193\"],\"Answer\":193}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,4,28],[0,6,58],[1,2,1],[1,3,62],[1,4,90],[1,6,62],[2,3,25],[2,6,56],[4,5,50],[4,6,49]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=1,(2,3)=25,(0,4)=28,(0,1)=40,(4,6)=49,(4,5)=50,(2,6)=56,(0,6)=58,(1,3)=62,(1,6)=62,(1,4)=90]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 6}, Find(2)=1, Find(3)=3, Add (2,3)=25 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=28 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=40 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 5, 6: 0}, Find(4)=0, Find(6)=6, Add (4,6)=49 Succeeded, w=143\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=5, Add (4,5)=50 Succeeded, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=56 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=58 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=62 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=62 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=90 Failed, w=193\"],\"Answer\":193}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,42],[0,2,46],[0,4,20],[0,5,41],[1,2,96],[1,3,31],[1,5,37],[1,6,79],[2,5,89],[2,6,68],[3,4,96],[3,5,58],[3,6,1],[4,5,74],[5,6,14]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,2,46],[0,4,20],[0,5,41],[1,2,96],[1,3,31],[1,5,37],[1,6,79],[2,5,89],[2,6,68],[3,4,96],[3,5,58],[3,6,1],[4,5,74],[5,6,14]]}", "role": "user" }, { "content": "{\"Answer\":153}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,2,46],[0,4,20],[0,5,41],[1,2,96],[1,3,31],[1,5,37],[1,6,79],[2,5,89],[2,6,68],[3,4,96],[3,5,58],[3,6,1],[4,5,74],[5,6,14]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)\",\"Add (5,6)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (0,5)\",\"Add (0,2)\"],\"Answer\":153}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,2,46],[0,4,20],[0,5,41],[1,2,96],[1,3,31],[1,5,37],[1,6,79],[2,5,89],[2,6,68],[3,4,96],[3,5,58],[3,6,1],[4,5,74],[5,6,14]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)=1, w=1\",\"Add (5,6)=14, w=15\",\"Add (0,4)=20, w=35\",\"Add (1,3)=31, w=66\",\"Add (0,5)=41, w=107\",\"Add (0,2)=46, w=153\"],\"Answer\":153}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,2,46],[0,4,20],[0,5,41],[1,2,96],[1,3,31],[1,5,37],[1,6,79],[2,5,89],[2,6,68],[3,4,96],[3,5,58],[3,6,1],[4,5,74],[5,6,14]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)=1 Succeeded, w=1\",\"Add (5,6)=14 Succeeded, w=15\",\"Add (0,4)=20 Succeeded, w=35\",\"Add (1,3)=31 Succeeded, w=66\",\"Add (1,5)=37 Failed, w=66\",\"Add (0,5)=41 Succeeded, w=107\",\"Add (0,1)=42 Failed, w=107\",\"Add (0,2)=46 Succeeded, w=153\",\"Add (3,5)=58 Failed, w=153\",\"Add (2,6)=68 Failed, w=153\",\"Add (4,5)=74 Failed, w=153\",\"Add (1,6)=79 Failed, w=153\",\"Add (2,5)=89 Failed, w=153\",\"Add (1,2)=96 Failed, w=153\",\"Add (3,4)=96 Failed, w=153\"],\"Answer\":153}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,2,46],[0,4,20],[0,5,41],[1,2,96],[1,3,31],[1,5,37],[1,6,79],[2,5,89],[2,6,68],[3,4,96],[3,5,58],[3,6,1],[4,5,74],[5,6,14]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,6)=1,(5,6)=14,(0,4)=20,(1,3)=31,(1,5)=37,(0,5)=41,(0,1)=42,(0,2)=46,(3,5)=58,(2,6)=68,(4,5)=74,(1,6)=79,(2,5)=89,(1,2)=96,(3,4)=96]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=1 Succeeded, w=1\",\"Find(5)=5, Find(6)=3, Add (5,6)=14 Succeeded, w=15\",\"Find(0)=0, Find(4)=4, Add (0,4)=20 Succeeded, w=35\",\"Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=66\",\"Find(1)=3, Find(5)=3, Add (1,5)=37 Failed, w=66\",\"Find(0)=0, Find(5)=3, Add (0,5)=41 Succeeded, w=107\",\"Find(0)=0, Find(1)=0, Add (0,1)=42 Failed, w=107\",\"Find(0)=0, Find(2)=2, Add (0,2)=46 Succeeded, w=153\",\"Find(3)=0, Find(5)=0, Add (3,5)=58 Failed, w=153\",\"Find(2)=0, Find(6)=0, Add (2,6)=68 Failed, w=153\",\"Find(4)=0, Find(5)=0, Add (4,5)=74 Failed, w=153\",\"Find(1)=0, Find(6)=0, Add (1,6)=79 Failed, w=153\",\"Find(2)=0, Find(5)=0, Add (2,5)=89 Failed, w=153\",\"Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=153\",\"Find(3)=0, Find(4)=0, Add (3,4)=96 Failed, w=153\"],\"Answer\":153}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,2,46],[0,4,20],[0,5,41],[1,2,96],[1,3,31],[1,5,37],[1,6,79],[2,5,89],[2,6,68],[3,4,96],[3,5,58],[3,6,1],[4,5,74],[5,6,14]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,6)=1,(5,6)=14,(0,4)=20,(1,3)=31,(1,5)=37,(0,5)=41,(0,1)=42,(0,2)=46,(3,5)=58,(2,6)=68,(4,5)=74,(1,6)=79,(2,5)=89,(1,2)=96,(3,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3}, Find(5)=5, Find(6)=3, Add (5,6)=14 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 3, 6: 3}, Find(0)=0, Find(4)=4, Add (0,4)=20 Succeeded, w=35\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 0, 5: 3, 6: 3}, Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=66\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 0, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=37 Failed, w=66\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 0, 4: 0, 5: 3, 6: 3}, Find(0)=0, Find(5)=3, Add (0,5)=41 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 3, 6: 3}, Find(0)=0, Find(1)=0, Add (0,1)=42 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 3}, Find(0)=0, Find(2)=2, Add (0,2)=46 Succeeded, w=153\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(3)=0, Find(5)=0, Add (3,5)=58 Failed, w=153\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=68 Failed, w=153\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=74 Failed, w=153\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=79 Failed, w=153\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=89 Failed, w=153\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=153\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=96 Failed, w=153\"],\"Answer\":153}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,84],[0,2,45],[0,3,78],[1,3,65],[2,3,45]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,45],[0,3,78],[1,3,65],[2,3,45]]}", "role": "user" }, { "content": "{\"Answer\":155}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,45],[0,3,78],[1,3,65],[2,3,45]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":155}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,45],[0,3,78],[1,3,65],[2,3,45]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=45, w=45\",\"Add (2,3)=45, w=90\",\"Add (1,3)=65, w=155\"],\"Answer\":155}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,45],[0,3,78],[1,3,65],[2,3,45]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=45 Succeeded, w=45\",\"Add (2,3)=45 Succeeded, w=90\",\"Add (1,3)=65 Succeeded, w=155\",\"Add (0,3)=78 Failed, w=155\",\"Add (0,1)=84 Failed, w=155\"],\"Answer\":155}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,45],[0,3,78],[1,3,65],[2,3,45]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=45,(2,3)=45,(1,3)=65,(0,3)=78,(0,1)=84]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=45 Succeeded, w=45\",\"Find(2)=0, Find(3)=3, Add (2,3)=45 Succeeded, w=90\",\"Find(1)=1, Find(3)=0, Add (1,3)=65 Succeeded, w=155\",\"Find(0)=0, Find(3)=0, Add (0,3)=78 Failed, w=155\",\"Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=155\"],\"Answer\":155}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,45],[0,3,78],[1,3,65],[2,3,45]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=45,(2,3)=45,(1,3)=65,(0,3)=78,(0,1)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=45 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=45 Succeeded, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=65 Succeeded, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=78 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=155\"],\"Answer\":155}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,56],[0,3,78],[0,4,51],[0,5,75],[1,2,30],[1,3,89],[1,4,86],[1,5,79],[2,3,79],[2,5,83],[3,4,20],[3,6,25],[4,5,78],[4,6,26],[5,6,100]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,3,78],[0,4,51],[0,5,75],[1,2,30],[1,3,89],[1,4,86],[1,5,79],[2,3,79],[2,5,83],[3,4,20],[3,6,25],[4,5,78],[4,6,26],[5,6,100]]}", "role": "user" }, { "content": "{\"Answer\":257}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,3,78],[0,4,51],[0,5,75],[1,2,30],[1,3,89],[1,4,86],[1,5,79],[2,3,79],[2,5,83],[3,4,20],[3,6,25],[4,5,78],[4,6,26],[5,6,100]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)\",\"Add (3,6)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (0,1)\",\"Add (0,5)\"],\"Answer\":257}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,3,78],[0,4,51],[0,5,75],[1,2,30],[1,3,89],[1,4,86],[1,5,79],[2,3,79],[2,5,83],[3,4,20],[3,6,25],[4,5,78],[4,6,26],[5,6,100]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=20, w=20\",\"Add (3,6)=25, w=45\",\"Add (1,2)=30, w=75\",\"Add (0,4)=51, w=126\",\"Add (0,1)=56, w=182\",\"Add (0,5)=75, w=257\"],\"Answer\":257}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,3,78],[0,4,51],[0,5,75],[1,2,30],[1,3,89],[1,4,86],[1,5,79],[2,3,79],[2,5,83],[3,4,20],[3,6,25],[4,5,78],[4,6,26],[5,6,100]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=20 Succeeded, w=20\",\"Add (3,6)=25 Succeeded, w=45\",\"Add (4,6)=26 Failed, w=45\",\"Add (1,2)=30 Succeeded, w=75\",\"Add (0,4)=51 Succeeded, w=126\",\"Add (0,1)=56 Succeeded, w=182\",\"Add (0,5)=75 Succeeded, w=257\",\"Add (0,3)=78 Failed, w=257\",\"Add (4,5)=78 Failed, w=257\",\"Add (1,5)=79 Failed, w=257\",\"Add (2,3)=79 Failed, w=257\",\"Add (2,5)=83 Failed, w=257\",\"Add (1,4)=86 Failed, w=257\",\"Add (1,3)=89 Failed, w=257\",\"Add (5,6)=100 Failed, w=257\"],\"Answer\":257}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,3,78],[0,4,51],[0,5,75],[1,2,30],[1,3,89],[1,4,86],[1,5,79],[2,3,79],[2,5,83],[3,4,20],[3,6,25],[4,5,78],[4,6,26],[5,6,100]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=20,(3,6)=25,(4,6)=26,(1,2)=30,(0,4)=51,(0,1)=56,(0,5)=75,(0,3)=78,(4,5)=78,(1,5)=79,(2,3)=79,(2,5)=83,(1,4)=86,(1,3)=89,(5,6)=100]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=20 Succeeded, w=20\",\"Find(3)=3, Find(6)=6, Add (3,6)=25 Succeeded, w=45\",\"Find(4)=3, Find(6)=3, Add (4,6)=26 Failed, w=45\",\"Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=75\",\"Find(0)=0, Find(4)=3, Add (0,4)=51 Succeeded, w=126\",\"Find(0)=3, Find(1)=1, Add (0,1)=56 Succeeded, w=182\",\"Find(0)=3, Find(5)=5, Add (0,5)=75 Succeeded, w=257\",\"Find(0)=3, Find(3)=3, Add (0,3)=78 Failed, w=257\",\"Find(4)=3, Find(5)=3, Add (4,5)=78 Failed, w=257\",\"Find(1)=3, Find(5)=3, Add (1,5)=79 Failed, w=257\",\"Find(2)=3, Find(3)=3, Add (2,3)=79 Failed, w=257\",\"Find(2)=3, Find(5)=3, Add (2,5)=83 Failed, w=257\",\"Find(1)=3, Find(4)=3, Add (1,4)=86 Failed, w=257\",\"Find(1)=3, Find(3)=3, Add (1,3)=89 Failed, w=257\",\"Find(5)=3, Find(6)=3, Add (5,6)=100 Failed, w=257\"],\"Answer\":257}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,3,78],[0,4,51],[0,5,75],[1,2,30],[1,3,89],[1,4,86],[1,5,79],[2,3,79],[2,5,83],[3,4,20],[3,6,25],[4,5,78],[4,6,26],[5,6,100]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=20,(3,6)=25,(4,6)=26,(1,2)=30,(0,4)=51,(0,1)=56,(0,5)=75,(0,3)=78,(4,5)=78,(1,5)=79,(2,3)=79,(2,5)=83,(1,4)=86,(1,3)=89,(5,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=25 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=26 Failed, w=45\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 3}, Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=75\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 3}, Find(0)=0, Find(4)=3, Add (0,4)=51 Succeeded, w=126\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 5, 6: 3}, Find(0)=3, Find(1)=1, Add (0,1)=56 Succeeded, w=182\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=5, Add (0,5)=75 Succeeded, w=257\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=78 Failed, w=257\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=78 Failed, w=257\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=79 Failed, w=257\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=79 Failed, w=257\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=83 Failed, w=257\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=86 Failed, w=257\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=89 Failed, w=257\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=100 Failed, w=257\"],\"Answer\":257}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,10],[0,2,7],[0,3,16],[1,2,57],[1,3,81],[2,3,91]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,7],[0,3,16],[1,2,57],[1,3,81],[2,3,91]]}", "role": "user" }, { "content": "{\"Answer\":33}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,7],[0,3,16],[1,2,57],[1,3,81],[2,3,91]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":33}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,7],[0,3,16],[1,2,57],[1,3,81],[2,3,91]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=7, w=7\",\"Add (0,1)=10, w=17\",\"Add (0,3)=16, w=33\"],\"Answer\":33}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,7],[0,3,16],[1,2,57],[1,3,81],[2,3,91]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=7 Succeeded, w=7\",\"Add (0,1)=10 Succeeded, w=17\",\"Add (0,3)=16 Succeeded, w=33\",\"Add (1,2)=57 Failed, w=33\",\"Add (1,3)=81 Failed, w=33\",\"Add (2,3)=91 Failed, w=33\"],\"Answer\":33}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,7],[0,3,16],[1,2,57],[1,3,81],[2,3,91]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=7,(0,1)=10,(0,3)=16,(1,2)=57,(1,3)=81,(2,3)=91]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=17\",\"Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=33\",\"Find(1)=0, Find(2)=0, Add (1,2)=57 Failed, w=33\",\"Find(1)=0, Find(3)=0, Add (1,3)=81 Failed, w=33\",\"Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=33\"],\"Answer\":33}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,7],[0,3,16],[1,2,57],[1,3,81],[2,3,91]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=7,(0,1)=10,(0,3)=16,(1,2)=57,(1,3)=81,(2,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=57 Failed, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=81 Failed, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=33\"],\"Answer\":33}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,53],[0,2,50],[0,3,75],[0,4,7],[0,5,6],[0,6,0],[1,2,10],[1,3,37],[1,4,18],[1,5,9],[2,3,10],[2,4,53],[2,5,32],[2,6,2],[3,4,13],[3,5,40],[3,6,16],[4,5,83],[4,6,100]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,50],[0,3,75],[0,4,7],[0,5,6],[0,6,0],[1,2,10],[1,3,37],[1,4,18],[1,5,9],[2,3,10],[2,4,53],[2,5,32],[2,6,2],[3,4,13],[3,5,40],[3,6,16],[4,5,83],[4,6,100]]}", "role": "user" }, { "content": "{\"Answer\":34}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,50],[0,3,75],[0,4,7],[0,5,6],[0,6,0],[1,2,10],[1,3,37],[1,4,18],[1,5,9],[2,3,10],[2,4,53],[2,5,32],[2,6,2],[3,4,13],[3,5,40],[3,6,16],[4,5,83],[4,6,100]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,6)\",\"Add (2,6)\",\"Add (0,5)\",\"Add (0,4)\",\"Add (1,5)\",\"Add (2,3)\"],\"Answer\":34}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,50],[0,3,75],[0,4,7],[0,5,6],[0,6,0],[1,2,10],[1,3,37],[1,4,18],[1,5,9],[2,3,10],[2,4,53],[2,5,32],[2,6,2],[3,4,13],[3,5,40],[3,6,16],[4,5,83],[4,6,100]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,6)=0, w=0\",\"Add (2,6)=2, w=2\",\"Add (0,5)=6, w=8\",\"Add (0,4)=7, w=15\",\"Add (1,5)=9, w=24\",\"Add (2,3)=10, w=34\"],\"Answer\":34}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,50],[0,3,75],[0,4,7],[0,5,6],[0,6,0],[1,2,10],[1,3,37],[1,4,18],[1,5,9],[2,3,10],[2,4,53],[2,5,32],[2,6,2],[3,4,13],[3,5,40],[3,6,16],[4,5,83],[4,6,100]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,6)=0 Succeeded, w=0\",\"Add (2,6)=2 Succeeded, w=2\",\"Add (0,5)=6 Succeeded, w=8\",\"Add (0,4)=7 Succeeded, w=15\",\"Add (1,5)=9 Succeeded, w=24\",\"Add (1,2)=10 Failed, w=24\",\"Add (2,3)=10 Succeeded, w=34\",\"Add (3,4)=13 Failed, w=34\",\"Add (3,6)=16 Failed, w=34\",\"Add (1,4)=18 Failed, w=34\",\"Add (2,5)=32 Failed, w=34\",\"Add (1,3)=37 Failed, w=34\",\"Add (3,5)=40 Failed, w=34\",\"Add (0,2)=50 Failed, w=34\",\"Add (0,1)=53 Failed, w=34\",\"Add (2,4)=53 Failed, w=34\",\"Add (0,3)=75 Failed, w=34\",\"Add (4,5)=83 Failed, w=34\",\"Add (4,6)=100 Failed, w=34\"],\"Answer\":34}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,50],[0,3,75],[0,4,7],[0,5,6],[0,6,0],[1,2,10],[1,3,37],[1,4,18],[1,5,9],[2,3,10],[2,4,53],[2,5,32],[2,6,2],[3,4,13],[3,5,40],[3,6,16],[4,5,83],[4,6,100]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,6)=0,(2,6)=2,(0,5)=6,(0,4)=7,(1,5)=9,(1,2)=10,(2,3)=10,(3,4)=13,(3,6)=16,(1,4)=18,(2,5)=32,(1,3)=37,(3,5)=40,(0,2)=50,(0,1)=53,(2,4)=53,(0,3)=75,(4,5)=83,(4,6)=100]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=0 Succeeded, w=0\",\"Find(2)=2, Find(6)=0, Add (2,6)=2 Succeeded, w=2\",\"Find(0)=0, Find(5)=5, Add (0,5)=6 Succeeded, w=8\",\"Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=15\",\"Find(1)=1, Find(5)=0, Add (1,5)=9 Succeeded, w=24\",\"Find(1)=0, Find(2)=0, Add (1,2)=10 Failed, w=24\",\"Find(2)=0, Find(3)=3, Add (2,3)=10 Succeeded, w=34\",\"Find(3)=0, Find(4)=0, Add (3,4)=13 Failed, w=34\",\"Find(3)=0, Find(6)=0, Add (3,6)=16 Failed, w=34\",\"Find(1)=0, Find(4)=0, Add (1,4)=18 Failed, w=34\",\"Find(2)=0, Find(5)=0, Add (2,5)=32 Failed, w=34\",\"Find(1)=0, Find(3)=0, Add (1,3)=37 Failed, w=34\",\"Find(3)=0, Find(5)=0, Add (3,5)=40 Failed, w=34\",\"Find(0)=0, Find(2)=0, Add (0,2)=50 Failed, w=34\",\"Find(0)=0, Find(1)=0, Add (0,1)=53 Failed, w=34\",\"Find(2)=0, Find(4)=0, Add (2,4)=53 Failed, w=34\",\"Find(0)=0, Find(3)=0, Add (0,3)=75 Failed, w=34\",\"Find(4)=0, Find(5)=0, Add (4,5)=83 Failed, w=34\",\"Find(4)=0, Find(6)=0, Add (4,6)=100 Failed, w=34\"],\"Answer\":34}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,50],[0,3,75],[0,4,7],[0,5,6],[0,6,0],[1,2,10],[1,3,37],[1,4,18],[1,5,9],[2,3,10],[2,4,53],[2,5,32],[2,6,2],[3,4,13],[3,5,40],[3,6,16],[4,5,83],[4,6,100]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,6)=0,(2,6)=2,(0,5)=6,(0,4)=7,(1,5)=9,(1,2)=10,(2,3)=10,(3,4)=13,(3,6)=16,(1,4)=18,(2,5)=32,(1,3)=37,(3,5)=40,(0,2)=50,(0,1)=53,(2,4)=53,(0,3)=75,(4,5)=83,(4,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(5)=5, Add (0,5)=6 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(1)=1, Find(5)=0, Add (1,5)=9 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=10 Failed, w=24\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=3, Add (2,3)=10 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=13 Failed, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=16 Failed, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=18 Failed, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=32 Failed, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=37 Failed, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=40 Failed, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=50 Failed, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=53 Failed, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=53 Failed, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=75 Failed, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=83 Failed, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=100 Failed, w=34\"],\"Answer\":34}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,89],[0,2,18],[0,3,50],[0,4,25],[1,2,13],[1,3,0],[1,4,20],[2,3,57],[2,4,70],[3,4,76]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,18],[0,3,50],[0,4,25],[1,2,13],[1,3,0],[1,4,20],[2,3,57],[2,4,70],[3,4,76]]}", "role": "user" }, { "content": "{\"Answer\":51}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,18],[0,3,50],[0,4,25],[1,2,13],[1,3,0],[1,4,20],[2,3,57],[2,4,70],[3,4,76]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,2)\",\"Add (1,4)\"],\"Answer\":51}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,18],[0,3,50],[0,4,25],[1,2,13],[1,3,0],[1,4,20],[2,3,57],[2,4,70],[3,4,76]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (1,2)=13, w=13\",\"Add (0,2)=18, w=31\",\"Add (1,4)=20, w=51\"],\"Answer\":51}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,18],[0,3,50],[0,4,25],[1,2,13],[1,3,0],[1,4,20],[2,3,57],[2,4,70],[3,4,76]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (1,2)=13 Succeeded, w=13\",\"Add (0,2)=18 Succeeded, w=31\",\"Add (1,4)=20 Succeeded, w=51\",\"Add (0,4)=25 Failed, w=51\",\"Add (0,3)=50 Failed, w=51\",\"Add (2,3)=57 Failed, w=51\",\"Add (2,4)=70 Failed, w=51\",\"Add (3,4)=76 Failed, w=51\",\"Add (0,1)=89 Failed, w=51\"],\"Answer\":51}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,18],[0,3,50],[0,4,25],[1,2,13],[1,3,0],[1,4,20],[2,3,57],[2,4,70],[3,4,76]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=0,(1,2)=13,(0,2)=18,(1,4)=20,(0,4)=25,(0,3)=50,(2,3)=57,(2,4)=70,(3,4)=76,(0,1)=89]\",\"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(0)=0, Find(2)=1, Add (0,2)=18 Succeeded, w=31\",\"Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=51\",\"Find(0)=1, Find(4)=1, Add (0,4)=25 Failed, w=51\",\"Find(0)=1, Find(3)=1, Add (0,3)=50 Failed, w=51\",\"Find(2)=1, Find(3)=1, Add (2,3)=57 Failed, w=51\",\"Find(2)=1, Find(4)=1, Add (2,4)=70 Failed, w=51\",\"Find(3)=1, Find(4)=1, Add (3,4)=76 Failed, w=51\",\"Find(0)=1, Find(1)=1, Add (0,1)=89 Failed, w=51\"],\"Answer\":51}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,18],[0,3,50],[0,4,25],[1,2,13],[1,3,0],[1,4,20],[2,3,57],[2,4,70],[3,4,76]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=0,(1,2)=13,(0,2)=18,(1,4)=20,(0,4)=25,(0,3)=50,(2,3)=57,(2,4)=70,(3,4)=76,(0,1)=89]\",\"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: 1, 3: 1, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=13\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=0, Find(2)=1, Add (0,2)=18 Succeeded, w=31\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=25 Failed, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=50 Failed, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=57 Failed, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=70 Failed, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=76 Failed, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=89 Failed, w=51\"],\"Answer\":51}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,84],[0,2,10],[0,4,32],[1,4,5],[1,5,83],[2,3,60],[2,4,8],[3,4,100],[4,5,58]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,2,10],[0,4,32],[1,4,5],[1,5,83],[2,3,60],[2,4,8],[3,4,100],[4,5,58]]}", "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\":[[0,1,84],[0,2,10],[0,4,32],[1,4,5],[1,5,83],[2,3,60],[2,4,8],[3,4,100],[4,5,58]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (4,5)\",\"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\":[[0,1,84],[0,2,10],[0,4,32],[1,4,5],[1,5,83],[2,3,60],[2,4,8],[3,4,100],[4,5,58]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=5, w=5\",\"Add (2,4)=8, w=13\",\"Add (0,2)=10, w=23\",\"Add (4,5)=58, w=81\",\"Add (2,3)=60, 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\":[[0,1,84],[0,2,10],[0,4,32],[1,4,5],[1,5,83],[2,3,60],[2,4,8],[3,4,100],[4,5,58]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=5 Succeeded, w=5\",\"Add (2,4)=8 Succeeded, w=13\",\"Add (0,2)=10 Succeeded, w=23\",\"Add (0,4)=32 Failed, w=23\",\"Add (4,5)=58 Succeeded, w=81\",\"Add (2,3)=60 Succeeded, w=141\",\"Add (1,5)=83 Failed, w=141\",\"Add (0,1)=84 Failed, w=141\",\"Add (3,4)=100 Failed, w=141\"],\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,2,10],[0,4,32],[1,4,5],[1,5,83],[2,3,60],[2,4,8],[3,4,100],[4,5,58]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=5,(2,4)=8,(0,2)=10,(0,4)=32,(4,5)=58,(2,3)=60,(1,5)=83,(0,1)=84,(3,4)=100]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Find(2)=2, Find(4)=1, Add (2,4)=8 Succeeded, w=13\",\"Find(0)=0, Find(2)=1, Add (0,2)=10 Succeeded, w=23\",\"Find(0)=1, Find(4)=1, Add (0,4)=32 Failed, w=23\",\"Find(4)=1, Find(5)=5, Add (4,5)=58 Succeeded, w=81\",\"Find(2)=1, Find(3)=3, Add (2,3)=60 Succeeded, w=141\",\"Find(1)=1, Find(5)=1, Add (1,5)=83 Failed, w=141\",\"Find(0)=1, Find(1)=1, Add (0,1)=84 Failed, w=141\",\"Find(3)=1, Find(4)=1, Add (3,4)=100 Failed, w=141\"],\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,2,10],[0,4,32],[1,4,5],[1,5,83],[2,3,60],[2,4,8],[3,4,100],[4,5,58]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=5,(2,4)=8,(0,2)=10,(0,4)=32,(4,5)=58,(2,3)=60,(1,5)=83,(0,1)=84,(3,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(2)=2, Find(4)=1, Add (2,4)=8 Succeeded, w=13\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(0)=0, Find(2)=1, Add (0,2)=10 Succeeded, w=23\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(0)=1, Find(4)=1, Add (0,4)=32 Failed, w=23\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(4)=1, Find(5)=5, Add (4,5)=58 Succeeded, w=81\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=3, Add (2,3)=60 Succeeded, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=83 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=84 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=100 Failed, w=141\"],\"Answer\":141}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,5,5],[1,2,59],[1,3,63],[1,4,87],[1,5,67],[2,3,98],[2,4,21],[2,5,80],[3,5,94],[4,5,44]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,5,5],[1,2,59],[1,3,63],[1,4,87],[1,5,67],[2,3,98],[2,4,21],[2,5,80],[3,5,94],[4,5,44]]}", "role": "user" }, { "content": "{\"Answer\":192}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,5,5],[1,2,59],[1,3,63],[1,4,87],[1,5,67],[2,3,98],[2,4,21],[2,5,80],[3,5,94],[4,5,44]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)\",\"Add (2,4)\",\"Add (4,5)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":192}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,5,5],[1,2,59],[1,3,63],[1,4,87],[1,5,67],[2,3,98],[2,4,21],[2,5,80],[3,5,94],[4,5,44]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)=5, w=5\",\"Add (2,4)=21, w=26\",\"Add (4,5)=44, w=70\",\"Add (1,2)=59, w=129\",\"Add (1,3)=63, w=192\"],\"Answer\":192}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,5,5],[1,2,59],[1,3,63],[1,4,87],[1,5,67],[2,3,98],[2,4,21],[2,5,80],[3,5,94],[4,5,44]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)=5 Succeeded, w=5\",\"Add (2,4)=21 Succeeded, w=26\",\"Add (4,5)=44 Succeeded, w=70\",\"Add (1,2)=59 Succeeded, w=129\",\"Add (1,3)=63 Succeeded, w=192\",\"Add (1,5)=67 Failed, w=192\",\"Add (2,5)=80 Failed, w=192\",\"Add (1,4)=87 Failed, w=192\",\"Add (3,5)=94 Failed, w=192\",\"Add (2,3)=98 Failed, w=192\"],\"Answer\":192}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,5,5],[1,2,59],[1,3,63],[1,4,87],[1,5,67],[2,3,98],[2,4,21],[2,5,80],[3,5,94],[4,5,44]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,5)=5,(2,4)=21,(4,5)=44,(1,2)=59,(1,3)=63,(1,5)=67,(2,5)=80,(1,4)=87,(3,5)=94,(2,3)=98]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=5\",\"Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=26\",\"Find(4)=2, Find(5)=0, Add (4,5)=44 Succeeded, w=70\",\"Find(1)=1, Find(2)=2, Add (1,2)=59 Succeeded, w=129\",\"Find(1)=2, Find(3)=3, Add (1,3)=63 Succeeded, w=192\",\"Find(1)=2, Find(5)=2, Add (1,5)=67 Failed, w=192\",\"Find(2)=2, Find(5)=2, Add (2,5)=80 Failed, w=192\",\"Find(1)=2, Find(4)=2, Add (1,4)=87 Failed, w=192\",\"Find(3)=2, Find(5)=2, Add (3,5)=94 Failed, w=192\",\"Find(2)=2, Find(3)=2, Add (2,3)=98 Failed, w=192\"],\"Answer\":192}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,5,5],[1,2,59],[1,3,63],[1,4,87],[1,5,67],[2,3,98],[2,4,21],[2,5,80],[3,5,94],[4,5,44]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,5)=5,(2,4)=21,(4,5)=44,(1,2)=59,(1,3)=63,(1,5)=67,(2,5)=80,(1,4)=87,(3,5)=94,(2,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 0}, Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=26\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 0}, Find(4)=2, Find(5)=0, Add (4,5)=44 Succeeded, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 0}, Find(1)=1, Find(2)=2, Add (1,2)=59 Succeeded, w=129\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0}, Find(1)=2, Find(3)=3, Add (1,3)=63 Succeeded, w=192\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=67 Failed, w=192\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=80 Failed, w=192\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=87 Failed, w=192\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=94 Failed, w=192\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=98 Failed, w=192\"],\"Answer\":192}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,99],[0,4,2],[2,3,12],[2,4,11]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,4,2],[2,3,12],[2,4,11]]}", "role": "user" }, { "content": "{\"Answer\":25}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,4,2],[2,3,12],[2,4,11]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)\",\"Add (2,4)\",\"Add (2,3)\"],\"Answer\":25}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,4,2],[2,3,12],[2,4,11]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)=2, w=2\",\"Add (2,4)=11, w=13\",\"Add (2,3)=12, w=25\"],\"Answer\":25}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,4,2],[2,3,12],[2,4,11]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)=2 Succeeded, w=2\",\"Add (2,4)=11 Succeeded, w=13\",\"Add (2,3)=12 Succeeded, w=25\",\"Add (0,2)=99 Failed, w=25\"],\"Answer\":25}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,4,2],[2,3,12],[2,4,11]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,4)=2,(2,4)=11,(2,3)=12,(0,2)=99]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Find(2)=2, Find(4)=0, Add (2,4)=11 Succeeded, w=13\",\"Find(2)=0, Find(3)=3, Add (2,3)=12 Succeeded, w=25\",\"Find(0)=0, Find(2)=0, Add (0,2)=99 Failed, w=25\"],\"Answer\":25}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,4,2],[2,3,12],[2,4,11]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,4)=2,(2,4)=11,(2,3)=12,(0,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=11 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=3, Add (2,3)=12 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=99 Failed, w=25\"],\"Answer\":25}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,29],[0,2,25],[0,3,97],[1,2,83],[1,3,48],[2,3,27]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,29],[0,2,25],[0,3,97],[1,2,83],[1,3,48],[2,3,27]]}", "role": "user" }, { "content": "{\"Answer\":81}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,29],[0,2,25],[0,3,97],[1,2,83],[1,3,48],[2,3,27]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":81}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,29],[0,2,25],[0,3,97],[1,2,83],[1,3,48],[2,3,27]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=25, w=25\",\"Add (2,3)=27, w=52\",\"Add (0,1)=29, w=81\"],\"Answer\":81}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,29],[0,2,25],[0,3,97],[1,2,83],[1,3,48],[2,3,27]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=25 Succeeded, w=25\",\"Add (2,3)=27 Succeeded, w=52\",\"Add (0,1)=29 Succeeded, w=81\",\"Add (1,3)=48 Failed, w=81\",\"Add (1,2)=83 Failed, w=81\",\"Add (0,3)=97 Failed, w=81\"],\"Answer\":81}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,29],[0,2,25],[0,3,97],[1,2,83],[1,3,48],[2,3,27]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=25,(2,3)=27,(0,1)=29,(1,3)=48,(1,2)=83,(0,3)=97]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=25\",\"Find(2)=0, Find(3)=3, Add (2,3)=27 Succeeded, w=52\",\"Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=81\",\"Find(1)=0, Find(3)=0, Add (1,3)=48 Failed, w=81\",\"Find(1)=0, Find(2)=0, Add (1,2)=83 Failed, w=81\",\"Find(0)=0, Find(3)=0, Add (0,3)=97 Failed, w=81\"],\"Answer\":81}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,29],[0,2,25],[0,3,97],[1,2,83],[1,3,48],[2,3,27]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=25,(2,3)=27,(0,1)=29,(1,3)=48,(1,2)=83,(0,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=27 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=48 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=83 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=97 Failed, w=81\"],\"Answer\":81}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,34],[0,2,34],[0,3,25],[2,3,50]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,34],[0,3,25],[2,3,50]]}", "role": "user" }, { "content": "{\"Answer\":93}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,34],[0,3,25],[2,3,50]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":93}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,34],[0,3,25],[2,3,50]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=25, w=25\",\"Add (0,1)=34, w=59\",\"Add (0,2)=34, w=93\"],\"Answer\":93}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,34],[0,3,25],[2,3,50]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=25 Succeeded, w=25\",\"Add (0,1)=34 Succeeded, w=59\",\"Add (0,2)=34 Succeeded, w=93\",\"Add (2,3)=50 Failed, w=93\"],\"Answer\":93}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,34],[0,3,25],[2,3,50]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=25,(0,1)=34,(0,2)=34,(2,3)=50]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=25\",\"Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=59\",\"Find(0)=0, Find(2)=2, Add (0,2)=34 Succeeded, w=93\",\"Find(2)=0, Find(3)=0, Add (2,3)=50 Failed, w=93\"],\"Answer\":93}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,34],[0,3,25],[2,3,50]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=25,(0,1)=34,(0,2)=34,(2,3)=50]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=34 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=50 Failed, w=93\"],\"Answer\":93}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,46],[0,2,32],[0,3,30],[0,4,27],[0,5,47],[0,6,10],[1,2,16],[1,3,22],[1,5,62],[1,6,19],[2,3,29],[2,6,13],[3,5,51],[4,5,63],[4,6,17]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,32],[0,3,30],[0,4,27],[0,5,47],[0,6,10],[1,2,16],[1,3,22],[1,5,62],[1,6,19],[2,3,29],[2,6,13],[3,5,51],[4,5,63],[4,6,17]]}", "role": "user" }, { "content": "{\"Answer\":125}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,32],[0,3,30],[0,4,27],[0,5,47],[0,6,10],[1,2,16],[1,3,22],[1,5,62],[1,6,19],[2,3,29],[2,6,13],[3,5,51],[4,5,63],[4,6,17]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,6)\",\"Add (2,6)\",\"Add (1,2)\",\"Add (4,6)\",\"Add (1,3)\",\"Add (0,5)\"],\"Answer\":125}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,32],[0,3,30],[0,4,27],[0,5,47],[0,6,10],[1,2,16],[1,3,22],[1,5,62],[1,6,19],[2,3,29],[2,6,13],[3,5,51],[4,5,63],[4,6,17]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,6)=10, w=10\",\"Add (2,6)=13, w=23\",\"Add (1,2)=16, w=39\",\"Add (4,6)=17, w=56\",\"Add (1,3)=22, w=78\",\"Add (0,5)=47, w=125\"],\"Answer\":125}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,32],[0,3,30],[0,4,27],[0,5,47],[0,6,10],[1,2,16],[1,3,22],[1,5,62],[1,6,19],[2,3,29],[2,6,13],[3,5,51],[4,5,63],[4,6,17]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,6)=10 Succeeded, w=10\",\"Add (2,6)=13 Succeeded, w=23\",\"Add (1,2)=16 Succeeded, w=39\",\"Add (4,6)=17 Succeeded, w=56\",\"Add (1,6)=19 Failed, w=56\",\"Add (1,3)=22 Succeeded, w=78\",\"Add (0,4)=27 Failed, w=78\",\"Add (2,3)=29 Failed, w=78\",\"Add (0,3)=30 Failed, w=78\",\"Add (0,2)=32 Failed, w=78\",\"Add (0,1)=46 Failed, w=78\",\"Add (0,5)=47 Succeeded, w=125\",\"Add (3,5)=51 Failed, w=125\",\"Add (1,5)=62 Failed, w=125\",\"Add (4,5)=63 Failed, w=125\"],\"Answer\":125}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,32],[0,3,30],[0,4,27],[0,5,47],[0,6,10],[1,2,16],[1,3,22],[1,5,62],[1,6,19],[2,3,29],[2,6,13],[3,5,51],[4,5,63],[4,6,17]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,6)=10,(2,6)=13,(1,2)=16,(4,6)=17,(1,6)=19,(1,3)=22,(0,4)=27,(2,3)=29,(0,3)=30,(0,2)=32,(0,1)=46,(0,5)=47,(3,5)=51,(1,5)=62,(4,5)=63]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=10 Succeeded, w=10\",\"Find(2)=2, Find(6)=0, Add (2,6)=13 Succeeded, w=23\",\"Find(1)=1, Find(2)=0, Add (1,2)=16 Succeeded, w=39\",\"Find(4)=4, Find(6)=0, Add (4,6)=17 Succeeded, w=56\",\"Find(1)=0, Find(6)=0, Add (1,6)=19 Failed, w=56\",\"Find(1)=0, Find(3)=3, Add (1,3)=22 Succeeded, w=78\",\"Find(0)=0, Find(4)=0, Add (0,4)=27 Failed, w=78\",\"Find(2)=0, Find(3)=0, Add (2,3)=29 Failed, w=78\",\"Find(0)=0, Find(3)=0, Add (0,3)=30 Failed, w=78\",\"Find(0)=0, Find(2)=0, Add (0,2)=32 Failed, w=78\",\"Find(0)=0, Find(1)=0, Add (0,1)=46 Failed, w=78\",\"Find(0)=0, Find(5)=5, Add (0,5)=47 Succeeded, w=125\",\"Find(3)=0, Find(5)=0, Add (3,5)=51 Failed, w=125\",\"Find(1)=0, Find(5)=0, Add (1,5)=62 Failed, w=125\",\"Find(4)=0, Find(5)=0, Add (4,5)=63 Failed, w=125\"],\"Answer\":125}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,32],[0,3,30],[0,4,27],[0,5,47],[0,6,10],[1,2,16],[1,3,22],[1,5,62],[1,6,19],[2,3,29],[2,6,13],[3,5,51],[4,5,63],[4,6,17]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,6)=10,(2,6)=13,(1,2)=16,(4,6)=17,(1,6)=19,(1,3)=22,(0,4)=27,(2,3)=29,(0,3)=30,(0,2)=32,(0,1)=46,(0,5)=47,(3,5)=51,(1,5)=62,(4,5)=63]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=13 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0}, Find(1)=1, Find(2)=0, Add (1,2)=16 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=17 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=19 Failed, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(1)=0, Find(3)=3, Add (1,3)=22 Succeeded, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=27 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=29 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=30 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=32 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=46 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=5, Add (0,5)=47 Succeeded, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=51 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=62 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=63 Failed, w=125\"],\"Answer\":125}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,11],[0,2,80],[0,3,42],[0,4,49],[0,5,74],[0,6,25],[1,2,1],[1,3,51],[1,4,65],[1,5,63],[1,6,56],[2,3,67],[2,4,20],[2,5,44],[2,6,11],[3,4,8],[3,5,66],[3,6,14],[4,5,51],[4,6,29],[5,6,17]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,80],[0,3,42],[0,4,49],[0,5,74],[0,6,25],[1,2,1],[1,3,51],[1,4,65],[1,5,63],[1,6,56],[2,3,67],[2,4,20],[2,5,44],[2,6,11],[3,4,8],[3,5,66],[3,6,14],[4,5,51],[4,6,29],[5,6,17]]}", "role": "user" }, { "content": "{\"Answer\":62}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,80],[0,3,42],[0,4,49],[0,5,74],[0,6,25],[1,2,1],[1,3,51],[1,4,65],[1,5,63],[1,6,56],[2,3,67],[2,4,20],[2,5,44],[2,6,11],[3,4,8],[3,5,66],[3,6,14],[4,5,51],[4,6,29],[5,6,17]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (2,6)\",\"Add (3,6)\",\"Add (5,6)\"],\"Answer\":62}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,80],[0,3,42],[0,4,49],[0,5,74],[0,6,25],[1,2,1],[1,3,51],[1,4,65],[1,5,63],[1,6,56],[2,3,67],[2,4,20],[2,5,44],[2,6,11],[3,4,8],[3,5,66],[3,6,14],[4,5,51],[4,6,29],[5,6,17]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (3,4)=8, w=9\",\"Add (0,1)=11, w=20\",\"Add (2,6)=11, w=31\",\"Add (3,6)=14, w=45\",\"Add (5,6)=17, w=62\"],\"Answer\":62}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,80],[0,3,42],[0,4,49],[0,5,74],[0,6,25],[1,2,1],[1,3,51],[1,4,65],[1,5,63],[1,6,56],[2,3,67],[2,4,20],[2,5,44],[2,6,11],[3,4,8],[3,5,66],[3,6,14],[4,5,51],[4,6,29],[5,6,17]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (3,4)=8 Succeeded, w=9\",\"Add (0,1)=11 Succeeded, w=20\",\"Add (2,6)=11 Succeeded, w=31\",\"Add (3,6)=14 Succeeded, w=45\",\"Add (5,6)=17 Succeeded, w=62\",\"Add (2,4)=20 Failed, w=62\",\"Add (0,6)=25 Failed, w=62\",\"Add (4,6)=29 Failed, w=62\",\"Add (0,3)=42 Failed, w=62\",\"Add (2,5)=44 Failed, w=62\",\"Add (0,4)=49 Failed, w=62\",\"Add (1,3)=51 Failed, w=62\",\"Add (4,5)=51 Failed, w=62\",\"Add (1,6)=56 Failed, w=62\",\"Add (1,5)=63 Failed, w=62\",\"Add (1,4)=65 Failed, w=62\",\"Add (3,5)=66 Failed, w=62\",\"Add (2,3)=67 Failed, w=62\",\"Add (0,5)=74 Failed, w=62\",\"Add (0,2)=80 Failed, w=62\"],\"Answer\":62}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,80],[0,3,42],[0,4,49],[0,5,74],[0,6,25],[1,2,1],[1,3,51],[1,4,65],[1,5,63],[1,6,56],[2,3,67],[2,4,20],[2,5,44],[2,6,11],[3,4,8],[3,5,66],[3,6,14],[4,5,51],[4,6,29],[5,6,17]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=1,(3,4)=8,(0,1)=11,(2,6)=11,(3,6)=14,(5,6)=17,(2,4)=20,(0,6)=25,(4,6)=29,(0,3)=42,(2,5)=44,(0,4)=49,(1,3)=51,(4,5)=51,(1,6)=56,(1,5)=63,(1,4)=65,(3,5)=66,(2,3)=67,(0,5)=74,(0,2)=80]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=9\",\"Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=20\",\"Find(2)=1, Find(6)=6, Add (2,6)=11 Succeeded, w=31\",\"Find(3)=3, Find(6)=1, Add (3,6)=14 Succeeded, w=45\",\"Find(5)=5, Find(6)=3, Add (5,6)=17 Succeeded, w=62\",\"Find(2)=3, Find(4)=3, Add (2,4)=20 Failed, w=62\",\"Find(0)=3, Find(6)=3, Add (0,6)=25 Failed, w=62\",\"Find(4)=3, Find(6)=3, Add (4,6)=29 Failed, w=62\",\"Find(0)=3, Find(3)=3, Add (0,3)=42 Failed, w=62\",\"Find(2)=3, Find(5)=3, Add (2,5)=44 Failed, w=62\",\"Find(0)=3, Find(4)=3, Add (0,4)=49 Failed, w=62\",\"Find(1)=3, Find(3)=3, Add (1,3)=51 Failed, w=62\",\"Find(4)=3, Find(5)=3, Add (4,5)=51 Failed, w=62\",\"Find(1)=3, Find(6)=3, Add (1,6)=56 Failed, w=62\",\"Find(1)=3, Find(5)=3, Add (1,5)=63 Failed, w=62\",\"Find(1)=3, Find(4)=3, Add (1,4)=65 Failed, w=62\",\"Find(3)=3, Find(5)=3, Add (3,5)=66 Failed, w=62\",\"Find(2)=3, Find(3)=3, Add (2,3)=67 Failed, w=62\",\"Find(0)=3, Find(5)=3, Add (0,5)=74 Failed, w=62\",\"Find(0)=3, Find(2)=3, Add (0,2)=80 Failed, w=62\"],\"Answer\":62}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,80],[0,3,42],[0,4,49],[0,5,74],[0,6,25],[1,2,1],[1,3,51],[1,4,65],[1,5,63],[1,6,56],[2,3,67],[2,4,20],[2,5,44],[2,6,11],[3,4,8],[3,5,66],[3,6,14],[4,5,51],[4,6,29],[5,6,17]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=1,(3,4)=8,(0,1)=11,(2,6)=11,(3,6)=14,(5,6)=17,(2,4)=20,(0,6)=25,(4,6)=29,(0,3)=42,(2,5)=44,(0,4)=49,(1,3)=51,(4,5)=51,(1,6)=56,(1,5)=63,(1,4)=65,(3,5)=66,(2,3)=67,(0,5)=74,(0,2)=80]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=9\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 1}, Find(2)=1, Find(6)=6, Add (2,6)=11 Succeeded, w=31\",\"Parent: {0: 1, 1: 3, 2: 1, 3: 3, 4: 3, 5: 5, 6: 1}, Find(3)=3, Find(6)=1, Add (3,6)=14 Succeeded, w=45\",\"Parent: {0: 1, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=5, Find(6)=3, Add (5,6)=17 Succeeded, w=62\",\"Parent: {0: 1, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=20 Failed, w=62\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(6)=3, Add (0,6)=25 Failed, w=62\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=29 Failed, w=62\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=42 Failed, w=62\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=44 Failed, w=62\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=49 Failed, w=62\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=51 Failed, w=62\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=51 Failed, w=62\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=56 Failed, w=62\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=63 Failed, w=62\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=65 Failed, w=62\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(5)=3, Add (3,5)=66 Failed, w=62\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=67 Failed, w=62\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=74 Failed, w=62\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=80 Failed, w=62\"],\"Answer\":62}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,64],[0,2,67],[0,3,70],[0,4,27],[1,3,41],[1,4,42],[1,5,95],[1,6,50],[2,4,53],[2,5,19],[2,6,50],[3,5,68],[3,6,18],[4,5,56],[4,6,32],[5,6,52]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,67],[0,3,70],[0,4,27],[1,3,41],[1,4,42],[1,5,95],[1,6,50],[2,4,53],[2,5,19],[2,6,50],[3,5,68],[3,6,18],[4,5,56],[4,6,32],[5,6,52]]}", "role": "user" }, { "content": "{\"Answer\":187}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,67],[0,3,70],[0,4,27],[1,3,41],[1,4,42],[1,5,95],[1,6,50],[2,4,53],[2,5,19],[2,6,50],[3,5,68],[3,6,18],[4,5,56],[4,6,32],[5,6,52]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)\",\"Add (2,5)\",\"Add (0,4)\",\"Add (4,6)\",\"Add (1,3)\",\"Add (2,6)\"],\"Answer\":187}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,67],[0,3,70],[0,4,27],[1,3,41],[1,4,42],[1,5,95],[1,6,50],[2,4,53],[2,5,19],[2,6,50],[3,5,68],[3,6,18],[4,5,56],[4,6,32],[5,6,52]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)=18, w=18\",\"Add (2,5)=19, w=37\",\"Add (0,4)=27, w=64\",\"Add (4,6)=32, w=96\",\"Add (1,3)=41, w=137\",\"Add (2,6)=50, w=187\"],\"Answer\":187}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,67],[0,3,70],[0,4,27],[1,3,41],[1,4,42],[1,5,95],[1,6,50],[2,4,53],[2,5,19],[2,6,50],[3,5,68],[3,6,18],[4,5,56],[4,6,32],[5,6,52]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)=18 Succeeded, w=18\",\"Add (2,5)=19 Succeeded, w=37\",\"Add (0,4)=27 Succeeded, w=64\",\"Add (4,6)=32 Succeeded, w=96\",\"Add (1,3)=41 Succeeded, w=137\",\"Add (1,4)=42 Failed, w=137\",\"Add (1,6)=50 Failed, w=137\",\"Add (2,6)=50 Succeeded, w=187\",\"Add (5,6)=52 Failed, w=187\",\"Add (2,4)=53 Failed, w=187\",\"Add (4,5)=56 Failed, w=187\",\"Add (0,1)=64 Failed, w=187\",\"Add (0,2)=67 Failed, w=187\",\"Add (3,5)=68 Failed, w=187\",\"Add (0,3)=70 Failed, w=187\",\"Add (1,5)=95 Failed, w=187\"],\"Answer\":187}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,67],[0,3,70],[0,4,27],[1,3,41],[1,4,42],[1,5,95],[1,6,50],[2,4,53],[2,5,19],[2,6,50],[3,5,68],[3,6,18],[4,5,56],[4,6,32],[5,6,52]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,6)=18,(2,5)=19,(0,4)=27,(4,6)=32,(1,3)=41,(1,4)=42,(1,6)=50,(2,6)=50,(5,6)=52,(2,4)=53,(4,5)=56,(0,1)=64,(0,2)=67,(3,5)=68,(0,3)=70,(1,5)=95]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=18 Succeeded, w=18\",\"Find(2)=2, Find(5)=5, Add (2,5)=19 Succeeded, w=37\",\"Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=64\",\"Find(4)=0, Find(6)=3, Add (4,6)=32 Succeeded, w=96\",\"Find(1)=1, Find(3)=0, Add (1,3)=41 Succeeded, w=137\",\"Find(1)=0, Find(4)=0, Add (1,4)=42 Failed, w=137\",\"Find(1)=0, Find(6)=0, Add (1,6)=50 Failed, w=137\",\"Find(2)=2, Find(6)=0, Add (2,6)=50 Succeeded, w=187\",\"Find(5)=0, Find(6)=0, Add (5,6)=52 Failed, w=187\",\"Find(2)=0, Find(4)=0, Add (2,4)=53 Failed, w=187\",\"Find(4)=0, Find(5)=0, Add (4,5)=56 Failed, w=187\",\"Find(0)=0, Find(1)=0, Add (0,1)=64 Failed, w=187\",\"Find(0)=0, Find(2)=0, Add (0,2)=67 Failed, w=187\",\"Find(3)=0, Find(5)=0, Add (3,5)=68 Failed, w=187\",\"Find(0)=0, Find(3)=0, Add (0,3)=70 Failed, w=187\",\"Find(1)=0, Find(5)=0, Add (1,5)=95 Failed, w=187\"],\"Answer\":187}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,67],[0,3,70],[0,4,27],[1,3,41],[1,4,42],[1,5,95],[1,6,50],[2,4,53],[2,5,19],[2,6,50],[3,5,68],[3,6,18],[4,5,56],[4,6,32],[5,6,52]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,6)=18,(2,5)=19,(0,4)=27,(4,6)=32,(1,3)=41,(1,4)=42,(1,6)=50,(2,6)=50,(5,6)=52,(2,4)=53,(4,5)=56,(0,1)=64,(0,2)=67,(3,5)=68,(0,3)=70,(1,5)=95]\",\"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)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 3}, Find(2)=2, Find(5)=5, Add (2,5)=19 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 2, 6: 3}, Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=64\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 2, 6: 3}, Find(4)=0, Find(6)=3, Add (4,6)=32 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2, 6: 3}, Find(1)=1, Find(3)=0, Add (1,3)=41 Succeeded, w=137\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2, 6: 3}, Find(1)=0, Find(4)=0, Add (1,4)=42 Failed, w=137\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=50 Failed, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=50 Succeeded, w=187\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=52 Failed, w=187\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=53 Failed, w=187\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=56 Failed, w=187\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=64 Failed, w=187\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=67 Failed, w=187\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=68 Failed, w=187\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=70 Failed, w=187\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=95 Failed, w=187\"],\"Answer\":187}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,29],[0,2,1],[0,3,51],[0,4,92],[0,5,19],[1,2,41],[1,3,90],[1,4,4],[1,5,91],[1,6,75],[2,3,38],[2,5,96],[2,6,89],[3,4,37],[3,5,14],[3,6,81],[4,5,65],[4,6,16],[5,6,81]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,1],[0,3,51],[0,4,92],[0,5,19],[1,2,41],[1,3,90],[1,4,4],[1,5,91],[1,6,75],[2,3,38],[2,5,96],[2,6,89],[3,4,37],[3,5,14],[3,6,81],[4,5,65],[4,6,16],[5,6,81]]}", "role": "user" }, { "content": "{\"Answer\":83}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,1],[0,3,51],[0,4,92],[0,5,19],[1,2,41],[1,3,90],[1,4,4],[1,5,91],[1,6,75],[2,3,38],[2,5,96],[2,6,89],[3,4,37],[3,5,14],[3,6,81],[4,5,65],[4,6,16],[5,6,81]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (1,4)\",\"Add (3,5)\",\"Add (4,6)\",\"Add (0,5)\",\"Add (0,1)\"],\"Answer\":83}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,1],[0,3,51],[0,4,92],[0,5,19],[1,2,41],[1,3,90],[1,4,4],[1,5,91],[1,6,75],[2,3,38],[2,5,96],[2,6,89],[3,4,37],[3,5,14],[3,6,81],[4,5,65],[4,6,16],[5,6,81]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (1,4)=4, w=5\",\"Add (3,5)=14, w=19\",\"Add (4,6)=16, w=35\",\"Add (0,5)=19, w=54\",\"Add (0,1)=29, w=83\"],\"Answer\":83}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,1],[0,3,51],[0,4,92],[0,5,19],[1,2,41],[1,3,90],[1,4,4],[1,5,91],[1,6,75],[2,3,38],[2,5,96],[2,6,89],[3,4,37],[3,5,14],[3,6,81],[4,5,65],[4,6,16],[5,6,81]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (1,4)=4 Succeeded, w=5\",\"Add (3,5)=14 Succeeded, w=19\",\"Add (4,6)=16 Succeeded, w=35\",\"Add (0,5)=19 Succeeded, w=54\",\"Add (0,1)=29 Succeeded, w=83\",\"Add (3,4)=37 Failed, w=83\",\"Add (2,3)=38 Failed, w=83\",\"Add (1,2)=41 Failed, w=83\",\"Add (0,3)=51 Failed, w=83\",\"Add (4,5)=65 Failed, w=83\",\"Add (1,6)=75 Failed, w=83\",\"Add (3,6)=81 Failed, w=83\",\"Add (5,6)=81 Failed, w=83\",\"Add (2,6)=89 Failed, w=83\",\"Add (1,3)=90 Failed, w=83\",\"Add (1,5)=91 Failed, w=83\",\"Add (0,4)=92 Failed, w=83\",\"Add (2,5)=96 Failed, w=83\"],\"Answer\":83}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,1],[0,3,51],[0,4,92],[0,5,19],[1,2,41],[1,3,90],[1,4,4],[1,5,91],[1,6,75],[2,3,38],[2,5,96],[2,6,89],[3,4,37],[3,5,14],[3,6,81],[4,5,65],[4,6,16],[5,6,81]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=1,(1,4)=4,(3,5)=14,(4,6)=16,(0,5)=19,(0,1)=29,(3,4)=37,(2,3)=38,(1,2)=41,(0,3)=51,(4,5)=65,(1,6)=75,(3,6)=81,(5,6)=81,(2,6)=89,(1,3)=90,(1,5)=91,(0,4)=92,(2,5)=96]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=5\",\"Find(3)=3, Find(5)=5, Add (3,5)=14 Succeeded, w=19\",\"Find(4)=1, Find(6)=6, Add (4,6)=16 Succeeded, w=35\",\"Find(0)=0, Find(5)=3, Add (0,5)=19 Succeeded, w=54\",\"Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=83\",\"Find(3)=0, Find(4)=0, Add (3,4)=37 Failed, w=83\",\"Find(2)=0, Find(3)=0, Add (2,3)=38 Failed, w=83\",\"Find(1)=0, Find(2)=0, Add (1,2)=41 Failed, w=83\",\"Find(0)=0, Find(3)=0, Add (0,3)=51 Failed, w=83\",\"Find(4)=0, Find(5)=0, Add (4,5)=65 Failed, w=83\",\"Find(1)=0, Find(6)=0, Add (1,6)=75 Failed, w=83\",\"Find(3)=0, Find(6)=0, Add (3,6)=81 Failed, w=83\",\"Find(5)=0, Find(6)=0, Add (5,6)=81 Failed, w=83\",\"Find(2)=0, Find(6)=0, Add (2,6)=89 Failed, w=83\",\"Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=83\",\"Find(1)=0, Find(5)=0, Add (1,5)=91 Failed, w=83\",\"Find(0)=0, Find(4)=0, Add (0,4)=92 Failed, w=83\",\"Find(2)=0, Find(5)=0, Add (2,5)=96 Failed, w=83\"],\"Answer\":83}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,1],[0,3,51],[0,4,92],[0,5,19],[1,2,41],[1,3,90],[1,4,4],[1,5,91],[1,6,75],[2,3,38],[2,5,96],[2,6,89],[3,4,37],[3,5,14],[3,6,81],[4,5,65],[4,6,16],[5,6,81]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=1,(1,4)=4,(3,5)=14,(4,6)=16,(0,5)=19,(0,1)=29,(3,4)=37,(2,3)=38,(1,2)=41,(0,3)=51,(4,5)=65,(1,6)=75,(3,6)=81,(5,6)=81,(2,6)=89,(1,3)=90,(1,5)=91,(0,4)=92,(2,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=14 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 3, 6: 1}, Find(4)=1, Find(6)=6, Add (4,6)=16 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 3, 6: 1}, Find(0)=0, Find(5)=3, Add (0,5)=19 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 3, 6: 1}, Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 1}, Find(3)=0, Find(4)=0, Add (3,4)=37 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 1}, Find(2)=0, Find(3)=0, Add (2,3)=38 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 1}, Find(1)=0, Find(2)=0, Add (1,2)=41 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 1}, Find(0)=0, Find(3)=0, Add (0,3)=51 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(4)=0, Find(5)=0, Add (4,5)=65 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=75 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=81 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=81 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=89 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=91 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=92 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=96 Failed, w=83\"],\"Answer\":83}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,35],[0,3,26],[0,4,75],[0,5,83],[1,2,8],[1,3,47],[1,4,8],[2,3,5],[2,4,19],[2,5,4]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,35],[0,3,26],[0,4,75],[0,5,83],[1,2,8],[1,3,47],[1,4,8],[2,3,5],[2,4,19],[2,5,4]]}", "role": "user" }, { "content": "{\"Answer\":51}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,35],[0,3,26],[0,4,75],[0,5,83],[1,2,8],[1,3,47],[1,4,8],[2,3,5],[2,4,19],[2,5,4]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)\",\"Add (2,3)\",\"Add (1,2)\",\"Add (1,4)\",\"Add (0,3)\"],\"Answer\":51}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,35],[0,3,26],[0,4,75],[0,5,83],[1,2,8],[1,3,47],[1,4,8],[2,3,5],[2,4,19],[2,5,4]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=4, w=4\",\"Add (2,3)=5, w=9\",\"Add (1,2)=8, w=17\",\"Add (1,4)=8, w=25\",\"Add (0,3)=26, w=51\"],\"Answer\":51}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,35],[0,3,26],[0,4,75],[0,5,83],[1,2,8],[1,3,47],[1,4,8],[2,3,5],[2,4,19],[2,5,4]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=4 Succeeded, w=4\",\"Add (2,3)=5 Succeeded, w=9\",\"Add (1,2)=8 Succeeded, w=17\",\"Add (1,4)=8 Succeeded, w=25\",\"Add (2,4)=19 Failed, w=25\",\"Add (0,3)=26 Succeeded, w=51\",\"Add (0,2)=35 Failed, w=51\",\"Add (1,3)=47 Failed, w=51\",\"Add (0,4)=75 Failed, w=51\",\"Add (0,5)=83 Failed, w=51\"],\"Answer\":51}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,35],[0,3,26],[0,4,75],[0,5,83],[1,2,8],[1,3,47],[1,4,8],[2,3,5],[2,4,19],[2,5,4]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=4,(2,3)=5,(1,2)=8,(1,4)=8,(2,4)=19,(0,3)=26,(0,2)=35,(1,3)=47,(0,4)=75,(0,5)=83]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=4\",\"Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=9\",\"Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=17\",\"Find(1)=2, Find(4)=4, Add (1,4)=8 Succeeded, w=25\",\"Find(2)=2, Find(4)=2, Add (2,4)=19 Failed, w=25\",\"Find(0)=0, Find(3)=2, Add (0,3)=26 Succeeded, w=51\",\"Find(0)=2, Find(2)=2, Add (0,2)=35 Failed, w=51\",\"Find(1)=2, Find(3)=2, Add (1,3)=47 Failed, w=51\",\"Find(0)=2, Find(4)=2, Add (0,4)=75 Failed, w=51\",\"Find(0)=2, Find(5)=2, Add (0,5)=83 Failed, w=51\"],\"Answer\":51}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,35],[0,3,26],[0,4,75],[0,5,83],[1,2,8],[1,3,47],[1,4,8],[2,3,5],[2,4,19],[2,5,4]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=4,(2,3)=5,(1,2)=8,(1,4)=8,(2,4)=19,(0,3)=26,(0,2)=35,(1,3)=47,(0,4)=75,(0,5)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2}, Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2}, Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=17\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=4, Add (1,4)=8 Succeeded, w=25\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=19 Failed, w=25\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(3)=2, Add (0,3)=26 Succeeded, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=35 Failed, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=47 Failed, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=75 Failed, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=83 Failed, w=51\"],\"Answer\":51}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,65],[0,2,24],[0,3,16],[1,2,29],[1,3,19],[2,3,67]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,24],[0,3,16],[1,2,29],[1,3,19],[2,3,67]]}", "role": "user" }, { "content": "{\"Answer\":59}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,24],[0,3,16],[1,2,29],[1,3,19],[2,3,67]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":59}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,24],[0,3,16],[1,2,29],[1,3,19],[2,3,67]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=16, w=16\",\"Add (1,3)=19, w=35\",\"Add (0,2)=24, w=59\"],\"Answer\":59}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,24],[0,3,16],[1,2,29],[1,3,19],[2,3,67]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=16 Succeeded, w=16\",\"Add (1,3)=19 Succeeded, w=35\",\"Add (0,2)=24 Succeeded, w=59\",\"Add (1,2)=29 Failed, w=59\",\"Add (0,1)=65 Failed, w=59\",\"Add (2,3)=67 Failed, w=59\"],\"Answer\":59}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,24],[0,3,16],[1,2,29],[1,3,19],[2,3,67]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=16,(1,3)=19,(0,2)=24,(1,2)=29,(0,1)=65,(2,3)=67]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=16\",\"Find(1)=1, Find(3)=0, Add (1,3)=19 Succeeded, w=35\",\"Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=59\",\"Find(1)=0, Find(2)=0, Add (1,2)=29 Failed, w=59\",\"Find(0)=0, Find(1)=0, Add (0,1)=65 Failed, w=59\",\"Find(2)=0, Find(3)=0, Add (2,3)=67 Failed, w=59\"],\"Answer\":59}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,24],[0,3,16],[1,2,29],[1,3,19],[2,3,67]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=16,(1,3)=19,(0,2)=24,(1,2)=29,(0,1)=65,(2,3)=67]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=19 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=29 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=65 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=67 Failed, w=59\"],\"Answer\":59}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,41],[0,2,24],[0,3,82],[0,4,96],[0,5,32],[0,6,80],[1,3,5],[1,4,97],[1,5,96],[1,6,23],[1,7,36],[2,4,71],[2,5,79],[2,7,58],[3,4,92],[3,5,49],[3,6,49],[3,7,16],[4,5,5],[4,6,7],[4,7,10],[5,7,55],[6,7,30]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,24],[0,3,82],[0,4,96],[0,5,32],[0,6,80],[1,3,5],[1,4,97],[1,5,96],[1,6,23],[1,7,36],[2,4,71],[2,5,79],[2,7,58],[3,4,92],[3,5,49],[3,6,49],[3,7,16],[4,5,5],[4,6,7],[4,7,10],[5,7,55],[6,7,30]]}", "role": "user" }, { "content": "{\"Answer\":99}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,24],[0,3,82],[0,4,96],[0,5,32],[0,6,80],[1,3,5],[1,4,97],[1,5,96],[1,6,23],[1,7,36],[2,4,71],[2,5,79],[2,7,58],[3,4,92],[3,5,49],[3,6,49],[3,7,16],[4,5,5],[4,6,7],[4,7,10],[5,7,55],[6,7,30]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (4,5)\",\"Add (4,6)\",\"Add (4,7)\",\"Add (3,7)\",\"Add (0,2)\",\"Add (0,5)\"],\"Answer\":99}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,24],[0,3,82],[0,4,96],[0,5,32],[0,6,80],[1,3,5],[1,4,97],[1,5,96],[1,6,23],[1,7,36],[2,4,71],[2,5,79],[2,7,58],[3,4,92],[3,5,49],[3,6,49],[3,7,16],[4,5,5],[4,6,7],[4,7,10],[5,7,55],[6,7,30]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=5, w=5\",\"Add (4,5)=5, w=10\",\"Add (4,6)=7, w=17\",\"Add (4,7)=10, w=27\",\"Add (3,7)=16, w=43\",\"Add (0,2)=24, w=67\",\"Add (0,5)=32, w=99\"],\"Answer\":99}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,24],[0,3,82],[0,4,96],[0,5,32],[0,6,80],[1,3,5],[1,4,97],[1,5,96],[1,6,23],[1,7,36],[2,4,71],[2,5,79],[2,7,58],[3,4,92],[3,5,49],[3,6,49],[3,7,16],[4,5,5],[4,6,7],[4,7,10],[5,7,55],[6,7,30]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=5 Succeeded, w=5\",\"Add (4,5)=5 Succeeded, w=10\",\"Add (4,6)=7 Succeeded, w=17\",\"Add (4,7)=10 Succeeded, w=27\",\"Add (3,7)=16 Succeeded, w=43\",\"Add (1,6)=23 Failed, w=43\",\"Add (0,2)=24 Succeeded, w=67\",\"Add (6,7)=30 Failed, w=67\",\"Add (0,5)=32 Succeeded, w=99\",\"Add (1,7)=36 Failed, w=99\",\"Add (0,1)=41 Failed, w=99\",\"Add (3,5)=49 Failed, w=99\",\"Add (3,6)=49 Failed, w=99\",\"Add (5,7)=55 Failed, w=99\",\"Add (2,7)=58 Failed, w=99\",\"Add (2,4)=71 Failed, w=99\",\"Add (2,5)=79 Failed, w=99\",\"Add (0,6)=80 Failed, w=99\",\"Add (0,3)=82 Failed, w=99\",\"Add (3,4)=92 Failed, w=99\",\"Add (0,4)=96 Failed, w=99\",\"Add (1,5)=96 Failed, w=99\",\"Add (1,4)=97 Failed, w=99\"],\"Answer\":99}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,24],[0,3,82],[0,4,96],[0,5,32],[0,6,80],[1,3,5],[1,4,97],[1,5,96],[1,6,23],[1,7,36],[2,4,71],[2,5,79],[2,7,58],[3,4,92],[3,5,49],[3,6,49],[3,7,16],[4,5,5],[4,6,7],[4,7,10],[5,7,55],[6,7,30]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=5,(4,5)=5,(4,6)=7,(4,7)=10,(3,7)=16,(1,6)=23,(0,2)=24,(6,7)=30,(0,5)=32,(1,7)=36,(0,1)=41,(3,5)=49,(3,6)=49,(5,7)=55,(2,7)=58,(2,4)=71,(2,5)=79,(0,6)=80,(0,3)=82,(3,4)=92,(0,4)=96,(1,5)=96,(1,4)=97]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=10\",\"Find(4)=4, Find(6)=6, Add (4,6)=7 Succeeded, w=17\",\"Find(4)=4, Find(7)=7, Add (4,7)=10 Succeeded, w=27\",\"Find(3)=1, Find(7)=4, Add (3,7)=16 Succeeded, w=43\",\"Find(1)=1, Find(6)=1, Add (1,6)=23 Failed, w=43\",\"Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=67\",\"Find(6)=1, Find(7)=1, Add (6,7)=30 Failed, w=67\",\"Find(0)=0, Find(5)=1, Add (0,5)=32 Succeeded, w=99\",\"Find(1)=1, Find(7)=1, Add (1,7)=36 Failed, w=99\",\"Find(0)=1, Find(1)=1, Add (0,1)=41 Failed, w=99\",\"Find(3)=1, Find(5)=1, Add (3,5)=49 Failed, w=99\",\"Find(3)=1, Find(6)=1, Add (3,6)=49 Failed, w=99\",\"Find(5)=1, Find(7)=1, Add (5,7)=55 Failed, w=99\",\"Find(2)=1, Find(7)=1, Add (2,7)=58 Failed, w=99\",\"Find(2)=1, Find(4)=1, Add (2,4)=71 Failed, w=99\",\"Find(2)=1, Find(5)=1, Add (2,5)=79 Failed, w=99\",\"Find(0)=1, Find(6)=1, Add (0,6)=80 Failed, w=99\",\"Find(0)=1, Find(3)=1, Add (0,3)=82 Failed, w=99\",\"Find(3)=1, Find(4)=1, Add (3,4)=92 Failed, w=99\",\"Find(0)=1, Find(4)=1, Add (0,4)=96 Failed, w=99\",\"Find(1)=1, Find(5)=1, Add (1,5)=96 Failed, w=99\",\"Find(1)=1, Find(4)=1, Add (1,4)=97 Failed, w=99\"],\"Answer\":99}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,24],[0,3,82],[0,4,96],[0,5,32],[0,6,80],[1,3,5],[1,4,97],[1,5,96],[1,6,23],[1,7,36],[2,4,71],[2,5,79],[2,7,58],[3,4,92],[3,5,49],[3,6,49],[3,7,16],[4,5,5],[4,6,7],[4,7,10],[5,7,55],[6,7,30]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=5,(4,5)=5,(4,6)=7,(4,7)=10,(3,7)=16,(1,6)=23,(0,2)=24,(6,7)=30,(0,5)=32,(1,7)=36,(0,1)=41,(3,5)=49,(3,6)=49,(5,7)=55,(2,7)=58,(2,4)=71,(2,5)=79,(0,6)=80,(0,3)=82,(3,4)=92,(0,4)=96,(1,5)=96,(1,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=7 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=10 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 4, 6: 4, 7: 4}, Find(3)=1, Find(7)=4, Add (3,7)=16 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 4, 6: 1, 7: 4}, Find(1)=1, Find(6)=1, Add (1,6)=23 Failed, w=43\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 4, 6: 1, 7: 4}, Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=67\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 4, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=30 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=0, Find(5)=1, Add (0,5)=32 Succeeded, w=99\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=36 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=41 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=49 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=49 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=55 Failed, w=99\",\"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)=58 Failed, w=99\",\"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)=71 Failed, w=99\",\"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)=79 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=80 Failed, w=99\",\"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)=82 Failed, w=99\",\"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)=92 Failed, w=99\",\"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)=96 Failed, w=99\",\"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)=96 Failed, w=99\",\"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)=97 Failed, w=99\"],\"Answer\":99}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,24],[0,3,65],[1,3,41],[1,4,49],[2,3,36],[2,4,49],[3,4,37]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,24],[0,3,65],[1,3,41],[1,4,49],[2,3,36],[2,4,49],[3,4,37]]}", "role": "user" }, { "content": "{\"Answer\":138}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,24],[0,3,65],[1,3,41],[1,4,49],[2,3,36],[2,4,49],[3,4,37]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (1,3)\"],\"Answer\":138}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,24],[0,3,65],[1,3,41],[1,4,49],[2,3,36],[2,4,49],[3,4,37]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=24, w=24\",\"Add (2,3)=36, w=60\",\"Add (3,4)=37, w=97\",\"Add (1,3)=41, w=138\"],\"Answer\":138}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,24],[0,3,65],[1,3,41],[1,4,49],[2,3,36],[2,4,49],[3,4,37]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=24 Succeeded, w=24\",\"Add (2,3)=36 Succeeded, w=60\",\"Add (3,4)=37 Succeeded, w=97\",\"Add (1,3)=41 Succeeded, w=138\",\"Add (1,4)=49 Failed, w=138\",\"Add (2,4)=49 Failed, w=138\",\"Add (0,3)=65 Failed, w=138\"],\"Answer\":138}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,24],[0,3,65],[1,3,41],[1,4,49],[2,3,36],[2,4,49],[3,4,37]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=24,(2,3)=36,(3,4)=37,(1,3)=41,(1,4)=49,(2,4)=49,(0,3)=65]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=24\",\"Find(2)=0, Find(3)=3, Add (2,3)=36 Succeeded, w=60\",\"Find(3)=0, Find(4)=4, Add (3,4)=37 Succeeded, w=97\",\"Find(1)=1, Find(3)=0, Add (1,3)=41 Succeeded, w=138\",\"Find(1)=0, Find(4)=0, Add (1,4)=49 Failed, w=138\",\"Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=138\",\"Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=138\"],\"Answer\":138}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,24],[0,3,65],[1,3,41],[1,4,49],[2,3,36],[2,4,49],[3,4,37]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=24,(2,3)=36,(3,4)=37,(1,3)=41,(1,4)=49,(2,4)=49,(0,3)=65]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(2)=0, Find(3)=3, Add (2,3)=36 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=37 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(3)=0, Add (1,3)=41 Succeeded, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=49 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=138\"],\"Answer\":138}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,44],[0,3,49],[0,4,52],[0,5,41],[1,3,57],[1,4,54],[2,3,5]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,44],[0,3,49],[0,4,52],[0,5,41],[1,3,57],[1,4,54],[2,3,5]]}", "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],\"edges\":[[0,2,44],[0,3,49],[0,4,52],[0,5,41],[1,3,57],[1,4,54],[2,3,5]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (0,5)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (1,4)\"],\"Answer\":196}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,44],[0,3,49],[0,4,52],[0,5,41],[1,3,57],[1,4,54],[2,3,5]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=5, w=5\",\"Add (0,5)=41, w=46\",\"Add (0,2)=44, w=90\",\"Add (0,4)=52, w=142\",\"Add (1,4)=54, w=196\"],\"Answer\":196}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,44],[0,3,49],[0,4,52],[0,5,41],[1,3,57],[1,4,54],[2,3,5]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=5 Succeeded, w=5\",\"Add (0,5)=41 Succeeded, w=46\",\"Add (0,2)=44 Succeeded, w=90\",\"Add (0,3)=49 Failed, w=90\",\"Add (0,4)=52 Succeeded, w=142\",\"Add (1,4)=54 Succeeded, w=196\",\"Add (1,3)=57 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],\"edges\":[[0,2,44],[0,3,49],[0,4,52],[0,5,41],[1,3,57],[1,4,54],[2,3,5]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=5,(0,5)=41,(0,2)=44,(0,3)=49,(0,4)=52,(1,4)=54,(1,3)=57]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Find(0)=0, Find(5)=5, Add (0,5)=41 Succeeded, w=46\",\"Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=90\",\"Find(0)=0, Find(3)=0, Add (0,3)=49 Failed, w=90\",\"Find(0)=0, Find(4)=4, Add (0,4)=52 Succeeded, w=142\",\"Find(1)=1, Find(4)=0, Add (1,4)=54 Succeeded, w=196\",\"Find(1)=0, Find(3)=0, Add (1,3)=57 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],\"edges\":[[0,2,44],[0,3,49],[0,4,52],[0,5,41],[1,3,57],[1,4,54],[2,3,5]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=5,(0,5)=41,(0,2)=44,(0,3)=49,(0,4)=52,(1,4)=54,(1,3)=57]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=41 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 4, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=90\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=49 Failed, w=90\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=4, Add (0,4)=52 Succeeded, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(4)=0, Add (1,4)=54 Succeeded, w=196\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=57 Failed, w=196\"],\"Answer\":196}", "role": "assistant" } ]

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