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xuan-luo
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mst_cot

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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":[0,1,2,3,4,5,6],"edges":[[0,1,51],[0,2,74],[0,3,66],[0,4,72],[0,5,95],[0,6,97],[2,4,84],[3,4,66],[3,5,38],[3,6,17],[4,5,74],[4,6,71]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,74],[0,3,66],[0,4,72],[0,5,95],[0,6,97],[2,4,84],[3,4,66],[3,5,38],[3,6,17],[4,5,74],[4,6,71]]}", "role": "user" }, { "content": "{\"Answer\":312}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,74],[0,3,66],[0,4,72],[0,5,95],[0,6,97],[2,4,84],[3,4,66],[3,5,38],[3,6,17],[4,5,74],[4,6,71]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)\",\"Add (3,5)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (3,4)\",\"Add (0,2)\"],\"Answer\":312}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,74],[0,3,66],[0,4,72],[0,5,95],[0,6,97],[2,4,84],[3,4,66],[3,5,38],[3,6,17],[4,5,74],[4,6,71]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)=17, w=17\",\"Add (3,5)=38, w=55\",\"Add (0,1)=51, w=106\",\"Add (0,3)=66, w=172\",\"Add (3,4)=66, w=238\",\"Add (0,2)=74, w=312\"],\"Answer\":312}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,74],[0,3,66],[0,4,72],[0,5,95],[0,6,97],[2,4,84],[3,4,66],[3,5,38],[3,6,17],[4,5,74],[4,6,71]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)=17 Succeeded, w=17\",\"Add (3,5)=38 Succeeded, w=55\",\"Add (0,1)=51 Succeeded, w=106\",\"Add (0,3)=66 Succeeded, w=172\",\"Add (3,4)=66 Succeeded, w=238\",\"Add (4,6)=71 Failed, w=238\",\"Add (0,4)=72 Failed, w=238\",\"Add (0,2)=74 Succeeded, w=312\",\"Add (4,5)=74 Failed, w=312\",\"Add (2,4)=84 Failed, w=312\",\"Add (0,5)=95 Failed, w=312\",\"Add (0,6)=97 Failed, w=312\"],\"Answer\":312}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,74],[0,3,66],[0,4,72],[0,5,95],[0,6,97],[2,4,84],[3,4,66],[3,5,38],[3,6,17],[4,5,74],[4,6,71]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,6)=17,(3,5)=38,(0,1)=51,(0,3)=66,(3,4)=66,(4,6)=71,(0,4)=72,(0,2)=74,(4,5)=74,(2,4)=84,(0,5)=95,(0,6)=97]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=17 Succeeded, w=17\",\"Find(3)=3, Find(5)=5, Add (3,5)=38 Succeeded, w=55\",\"Find(0)=0, Find(1)=1, Add (0,1)=51 Succeeded, w=106\",\"Find(0)=0, Find(3)=3, Add (0,3)=66 Succeeded, w=172\",\"Find(3)=0, Find(4)=4, Add (3,4)=66 Succeeded, w=238\",\"Find(4)=0, Find(6)=0, Add (4,6)=71 Failed, w=238\",\"Find(0)=0, Find(4)=0, Add (0,4)=72 Failed, w=238\",\"Find(0)=0, Find(2)=2, Add (0,2)=74 Succeeded, w=312\",\"Find(4)=0, Find(5)=0, Add (4,5)=74 Failed, w=312\",\"Find(2)=0, Find(4)=0, Add (2,4)=84 Failed, w=312\",\"Find(0)=0, Find(5)=0, Add (0,5)=95 Failed, w=312\",\"Find(0)=0, Find(6)=0, Add (0,6)=97 Failed, w=312\"],\"Answer\":312}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,74],[0,3,66],[0,4,72],[0,5,95],[0,6,97],[2,4,84],[3,4,66],[3,5,38],[3,6,17],[4,5,74],[4,6,71]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,6)=17,(3,5)=38,(0,1)=51,(0,3)=66,(3,4)=66,(4,6)=71,(0,4)=72,(0,2)=74,(4,5)=74,(2,4)=84,(0,5)=95,(0,6)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3}, Find(3)=3, Find(5)=5, Add (3,5)=38 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3}, Find(0)=0, Find(1)=1, Add (0,1)=51 Succeeded, w=106\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 3, 6: 3}, Find(0)=0, Find(3)=3, Add (0,3)=66 Succeeded, w=172\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 3, 6: 3}, Find(3)=0, Find(4)=4, Add (3,4)=66 Succeeded, w=238\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 3, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=71 Failed, w=238\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 3, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=72 Failed, w=238\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(0)=0, Find(2)=2, Add (0,2)=74 Succeeded, w=312\",\"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=312\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=84 Failed, w=312\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=95 Failed, w=312\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=97 Failed, w=312\"],\"Answer\":312}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,32],[0,2,86],[0,3,6],[0,6,43],[1,3,96],[1,4,17],[2,5,60],[4,5,52],[4,6,71],[5,6,30]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,86],[0,3,6],[0,6,43],[1,3,96],[1,4,17],[2,5,60],[4,5,52],[4,6,71],[5,6,30]]}", "role": "user" }, { "content": "{\"Answer\":188}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,86],[0,3,6],[0,6,43],[1,3,96],[1,4,17],[2,5,60],[4,5,52],[4,6,71],[5,6,30]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (1,4)\",\"Add (5,6)\",\"Add (0,1)\",\"Add (0,6)\",\"Add (2,5)\"],\"Answer\":188}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,86],[0,3,6],[0,6,43],[1,3,96],[1,4,17],[2,5,60],[4,5,52],[4,6,71],[5,6,30]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=6, w=6\",\"Add (1,4)=17, w=23\",\"Add (5,6)=30, w=53\",\"Add (0,1)=32, w=85\",\"Add (0,6)=43, w=128\",\"Add (2,5)=60, w=188\"],\"Answer\":188}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,86],[0,3,6],[0,6,43],[1,3,96],[1,4,17],[2,5,60],[4,5,52],[4,6,71],[5,6,30]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=6 Succeeded, w=6\",\"Add (1,4)=17 Succeeded, w=23\",\"Add (5,6)=30 Succeeded, w=53\",\"Add (0,1)=32 Succeeded, w=85\",\"Add (0,6)=43 Succeeded, w=128\",\"Add (4,5)=52 Failed, w=128\",\"Add (2,5)=60 Succeeded, w=188\",\"Add (4,6)=71 Failed, w=188\",\"Add (0,2)=86 Failed, w=188\",\"Add (1,3)=96 Failed, w=188\"],\"Answer\":188}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,86],[0,3,6],[0,6,43],[1,3,96],[1,4,17],[2,5,60],[4,5,52],[4,6,71],[5,6,30]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=6,(1,4)=17,(5,6)=30,(0,1)=32,(0,6)=43,(4,5)=52,(2,5)=60,(4,6)=71,(0,2)=86,(1,3)=96]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Find(1)=1, Find(4)=4, Add (1,4)=17 Succeeded, w=23\",\"Find(5)=5, Find(6)=6, Add (5,6)=30 Succeeded, w=53\",\"Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=85\",\"Find(0)=0, Find(6)=5, Add (0,6)=43 Succeeded, w=128\",\"Find(4)=0, Find(5)=0, Add (4,5)=52 Failed, w=128\",\"Find(2)=2, Find(5)=0, Add (2,5)=60 Succeeded, w=188\",\"Find(4)=0, Find(6)=0, Add (4,6)=71 Failed, w=188\",\"Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=188\",\"Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=188\"],\"Answer\":188}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,86],[0,3,6],[0,6,43],[1,3,96],[1,4,17],[2,5,60],[4,5,52],[4,6,71],[5,6,30]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=6,(1,4)=17,(5,6)=30,(0,1)=32,(0,6)=43,(4,5)=52,(2,5)=60,(4,6)=71,(0,2)=86,(1,3)=96]\",\"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: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=17 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=30 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 5, 6: 5}, Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=85\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 0, 6: 5}, Find(0)=0, Find(6)=5, Add (0,6)=43 Succeeded, w=128\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 5}, Find(4)=0, Find(5)=0, Add (4,5)=52 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5}, Find(2)=2, Find(5)=0, Add (2,5)=60 Succeeded, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=71 Failed, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=188\",\"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=188\"],\"Answer\":188}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,16],[0,3,25],[0,4,91],[0,5,9],[1,2,35],[1,3,92],[1,4,7],[2,3,62],[2,4,24],[3,4,95],[3,5,75],[4,5,41]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,3,25],[0,4,91],[0,5,9],[1,2,35],[1,3,92],[1,4,7],[2,3,62],[2,4,24],[3,4,95],[3,5,75],[4,5,41]]}", "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\":[[0,1,16],[0,3,25],[0,4,91],[0,5,9],[1,2,35],[1,3,92],[1,4,7],[2,3,62],[2,4,24],[3,4,95],[3,5,75],[4,5,41]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)\",\"Add (0,5)\",\"Add (0,1)\",\"Add (2,4)\",\"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\":[[0,1,16],[0,3,25],[0,4,91],[0,5,9],[1,2,35],[1,3,92],[1,4,7],[2,3,62],[2,4,24],[3,4,95],[3,5,75],[4,5,41]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=7, w=7\",\"Add (0,5)=9, w=16\",\"Add (0,1)=16, w=32\",\"Add (2,4)=24, w=56\",\"Add (0,3)=25, 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\":[[0,1,16],[0,3,25],[0,4,91],[0,5,9],[1,2,35],[1,3,92],[1,4,7],[2,3,62],[2,4,24],[3,4,95],[3,5,75],[4,5,41]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=7 Succeeded, w=7\",\"Add (0,5)=9 Succeeded, w=16\",\"Add (0,1)=16 Succeeded, w=32\",\"Add (2,4)=24 Succeeded, w=56\",\"Add (0,3)=25 Succeeded, w=81\",\"Add (1,2)=35 Failed, w=81\",\"Add (4,5)=41 Failed, w=81\",\"Add (2,3)=62 Failed, w=81\",\"Add (3,5)=75 Failed, w=81\",\"Add (0,4)=91 Failed, w=81\",\"Add (1,3)=92 Failed, w=81\",\"Add (3,4)=95 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\":[[0,1,16],[0,3,25],[0,4,91],[0,5,9],[1,2,35],[1,3,92],[1,4,7],[2,3,62],[2,4,24],[3,4,95],[3,5,75],[4,5,41]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=7,(0,5)=9,(0,1)=16,(2,4)=24,(0,3)=25,(1,2)=35,(4,5)=41,(2,3)=62,(3,5)=75,(0,4)=91,(1,3)=92,(3,4)=95]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=7\",\"Find(0)=0, Find(5)=5, Add (0,5)=9 Succeeded, w=16\",\"Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=32\",\"Find(2)=2, Find(4)=0, Add (2,4)=24 Succeeded, w=56\",\"Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=81\",\"Find(1)=0, Find(2)=0, Add (1,2)=35 Failed, w=81\",\"Find(4)=0, Find(5)=0, Add (4,5)=41 Failed, w=81\",\"Find(2)=0, Find(3)=0, Add (2,3)=62 Failed, w=81\",\"Find(3)=0, Find(5)=0, Add (3,5)=75 Failed, w=81\",\"Find(0)=0, Find(4)=0, Add (0,4)=91 Failed, w=81\",\"Find(1)=0, Find(3)=0, Add (1,3)=92 Failed, w=81\",\"Find(3)=0, Find(4)=0, Add (3,4)=95 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\":[[0,1,16],[0,3,25],[0,4,91],[0,5,9],[1,2,35],[1,3,92],[1,4,7],[2,3,62],[2,4,24],[3,4,95],[3,5,75],[4,5,41]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=7,(0,5)=9,(0,1)=16,(2,4)=24,(0,3)=25,(1,2)=35,(4,5)=41,(2,3)=62,(3,5)=75,(0,4)=91,(1,3)=92,(3,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=9 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 1, 5: 0}, Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(2)=2, Find(4)=0, Add (2,4)=24 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=35 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=41 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=62 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=75 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=91 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=92 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=95 Failed, w=81\"],\"Answer\":81}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,52],[0,3,38],[0,4,39],[0,5,84],[0,6,70],[0,7,14],[1,2,56],[1,3,17],[1,4,28],[1,5,67],[1,6,68],[1,7,49],[2,3,65],[2,4,16],[2,5,78],[2,6,98],[2,7,10],[3,4,93],[3,5,9],[3,6,81],[3,7,17],[4,5,96],[4,6,16],[4,7,48],[5,6,0],[5,7,66],[6,7,61]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,52],[0,3,38],[0,4,39],[0,5,84],[0,6,70],[0,7,14],[1,2,56],[1,3,17],[1,4,28],[1,5,67],[1,6,68],[1,7,49],[2,3,65],[2,4,16],[2,5,78],[2,6,98],[2,7,10],[3,4,93],[3,5,9],[3,6,81],[3,7,17],[4,5,96],[4,6,16],[4,7,48],[5,6,0],[5,7,66],[6,7,61]]}", "role": "user" }, { "content": "{\"Answer\":82}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,52],[0,3,38],[0,4,39],[0,5,84],[0,6,70],[0,7,14],[1,2,56],[1,3,17],[1,4,28],[1,5,67],[1,6,68],[1,7,49],[2,3,65],[2,4,16],[2,5,78],[2,6,98],[2,7,10],[3,4,93],[3,5,9],[3,6,81],[3,7,17],[4,5,96],[4,6,16],[4,7,48],[5,6,0],[5,7,66],[6,7,61]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)\",\"Add (3,5)\",\"Add (2,7)\",\"Add (0,7)\",\"Add (2,4)\",\"Add (4,6)\",\"Add (1,3)\"],\"Answer\":82}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,52],[0,3,38],[0,4,39],[0,5,84],[0,6,70],[0,7,14],[1,2,56],[1,3,17],[1,4,28],[1,5,67],[1,6,68],[1,7,49],[2,3,65],[2,4,16],[2,5,78],[2,6,98],[2,7,10],[3,4,93],[3,5,9],[3,6,81],[3,7,17],[4,5,96],[4,6,16],[4,7,48],[5,6,0],[5,7,66],[6,7,61]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)=0, w=0\",\"Add (3,5)=9, w=9\",\"Add (2,7)=10, w=19\",\"Add (0,7)=14, w=33\",\"Add (2,4)=16, w=49\",\"Add (4,6)=16, w=65\",\"Add (1,3)=17, w=82\"],\"Answer\":82}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,52],[0,3,38],[0,4,39],[0,5,84],[0,6,70],[0,7,14],[1,2,56],[1,3,17],[1,4,28],[1,5,67],[1,6,68],[1,7,49],[2,3,65],[2,4,16],[2,5,78],[2,6,98],[2,7,10],[3,4,93],[3,5,9],[3,6,81],[3,7,17],[4,5,96],[4,6,16],[4,7,48],[5,6,0],[5,7,66],[6,7,61]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)=0 Succeeded, w=0\",\"Add (3,5)=9 Succeeded, w=9\",\"Add (2,7)=10 Succeeded, w=19\",\"Add (0,7)=14 Succeeded, w=33\",\"Add (2,4)=16 Succeeded, w=49\",\"Add (4,6)=16 Succeeded, w=65\",\"Add (1,3)=17 Succeeded, w=82\",\"Add (3,7)=17 Failed, w=82\",\"Add (1,4)=28 Failed, w=82\",\"Add (0,3)=38 Failed, w=82\",\"Add (0,4)=39 Failed, w=82\",\"Add (4,7)=48 Failed, w=82\",\"Add (1,7)=49 Failed, w=82\",\"Add (0,2)=52 Failed, w=82\",\"Add (1,2)=56 Failed, w=82\",\"Add (6,7)=61 Failed, w=82\",\"Add (2,3)=65 Failed, w=82\",\"Add (5,7)=66 Failed, w=82\",\"Add (1,5)=67 Failed, w=82\",\"Add (1,6)=68 Failed, w=82\",\"Add (0,6)=70 Failed, w=82\",\"Add (2,5)=78 Failed, w=82\",\"Add (3,6)=81 Failed, w=82\",\"Add (0,5)=84 Failed, w=82\",\"Add (3,4)=93 Failed, w=82\",\"Add (4,5)=96 Failed, w=82\",\"Add (2,6)=98 Failed, w=82\"],\"Answer\":82}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,52],[0,3,38],[0,4,39],[0,5,84],[0,6,70],[0,7,14],[1,2,56],[1,3,17],[1,4,28],[1,5,67],[1,6,68],[1,7,49],[2,3,65],[2,4,16],[2,5,78],[2,6,98],[2,7,10],[3,4,93],[3,5,9],[3,6,81],[3,7,17],[4,5,96],[4,6,16],[4,7,48],[5,6,0],[5,7,66],[6,7,61]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(5,6)=0,(3,5)=9,(2,7)=10,(0,7)=14,(2,4)=16,(4,6)=16,(1,3)=17,(3,7)=17,(1,4)=28,(0,3)=38,(0,4)=39,(4,7)=48,(1,7)=49,(0,2)=52,(1,2)=56,(6,7)=61,(2,3)=65,(5,7)=66,(1,5)=67,(1,6)=68,(0,6)=70,(2,5)=78,(3,6)=81,(0,5)=84,(3,4)=93,(4,5)=96,(2,6)=98]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=0 Succeeded, w=0\",\"Find(3)=3, Find(5)=5, Add (3,5)=9 Succeeded, w=9\",\"Find(2)=2, Find(7)=7, Add (2,7)=10 Succeeded, w=19\",\"Find(0)=0, Find(7)=2, Add (0,7)=14 Succeeded, w=33\",\"Find(2)=2, Find(4)=4, Add (2,4)=16 Succeeded, w=49\",\"Find(4)=2, Find(6)=5, Add (4,6)=16 Succeeded, w=65\",\"Find(1)=1, Find(3)=2, Add (1,3)=17 Succeeded, w=82\",\"Find(3)=2, Find(7)=2, Add (3,7)=17 Failed, w=82\",\"Find(1)=2, Find(4)=2, Add (1,4)=28 Failed, w=82\",\"Find(0)=2, Find(3)=2, Add (0,3)=38 Failed, w=82\",\"Find(0)=2, Find(4)=2, Add (0,4)=39 Failed, w=82\",\"Find(4)=2, Find(7)=2, Add (4,7)=48 Failed, w=82\",\"Find(1)=2, Find(7)=2, Add (1,7)=49 Failed, w=82\",\"Find(0)=2, Find(2)=2, Add (0,2)=52 Failed, w=82\",\"Find(1)=2, Find(2)=2, Add (1,2)=56 Failed, w=82\",\"Find(6)=2, Find(7)=2, Add (6,7)=61 Failed, w=82\",\"Find(2)=2, Find(3)=2, Add (2,3)=65 Failed, w=82\",\"Find(5)=2, Find(7)=2, Add (5,7)=66 Failed, w=82\",\"Find(1)=2, Find(5)=2, Add (1,5)=67 Failed, w=82\",\"Find(1)=2, Find(6)=2, Add (1,6)=68 Failed, w=82\",\"Find(0)=2, Find(6)=2, Add (0,6)=70 Failed, w=82\",\"Find(2)=2, Find(5)=2, Add (2,5)=78 Failed, w=82\",\"Find(3)=2, Find(6)=2, Add (3,6)=81 Failed, w=82\",\"Find(0)=2, Find(5)=2, Add (0,5)=84 Failed, w=82\",\"Find(3)=2, Find(4)=2, Add (3,4)=93 Failed, w=82\",\"Find(4)=2, Find(5)=2, Add (4,5)=96 Failed, w=82\",\"Find(2)=2, Find(6)=2, Add (2,6)=98 Failed, w=82\"],\"Answer\":82}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,52],[0,3,38],[0,4,39],[0,5,84],[0,6,70],[0,7,14],[1,2,56],[1,3,17],[1,4,28],[1,5,67],[1,6,68],[1,7,49],[2,3,65],[2,4,16],[2,5,78],[2,6,98],[2,7,10],[3,4,93],[3,5,9],[3,6,81],[3,7,17],[4,5,96],[4,6,16],[4,7,48],[5,6,0],[5,7,66],[6,7,61]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(5,6)=0,(3,5)=9,(2,7)=10,(0,7)=14,(2,4)=16,(4,6)=16,(1,3)=17,(3,7)=17,(1,4)=28,(0,3)=38,(0,4)=39,(4,7)=48,(1,7)=49,(0,2)=52,(1,2)=56,(6,7)=61,(2,3)=65,(5,7)=66,(1,5)=67,(1,6)=68,(0,6)=70,(2,5)=78,(3,6)=81,(0,5)=84,(3,4)=93,(4,5)=96,(2,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 4, 5: 5, 6: 5, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 4, 5: 5, 6: 5, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=10 Succeeded, w=19\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 5, 4: 4, 5: 5, 6: 5, 7: 2}, Find(0)=0, Find(7)=2, Add (0,7)=14 Succeeded, w=33\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 5, 4: 2, 5: 5, 6: 5, 7: 2}, Find(2)=2, Find(4)=4, Add (2,4)=16 Succeeded, w=49\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 5, 4: 2, 5: 2, 6: 5, 7: 2}, Find(4)=2, Find(6)=5, Add (4,6)=16 Succeeded, w=65\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5, 7: 2}, Find(1)=1, Find(3)=2, Add (1,3)=17 Succeeded, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=17 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=28 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=38 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=39 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=48 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=49 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=52 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=56 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=61 Failed, w=82\",\"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)=65 Failed, w=82\",\"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)=66 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(5)=2, Add (1,5)=67 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=68 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=70 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=78 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=81 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=84 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=93 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=96 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(6)=2, Add (2,6)=98 Failed, w=82\"],\"Answer\":82}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,82],[0,2,52],[0,3,30],[0,4,33],[0,7,53],[1,2,86],[1,3,5],[1,4,65],[1,7,49],[2,3,8],[3,5,35],[3,6,54],[3,7,69],[4,5,90],[4,6,40],[5,6,77],[6,7,51]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,82],[0,2,52],[0,3,30],[0,4,33],[0,7,53],[1,2,86],[1,3,5],[1,4,65],[1,7,49],[2,3,8],[3,5,35],[3,6,54],[3,7,69],[4,5,90],[4,6,40],[5,6,77],[6,7,51]]}", "role": "user" }, { "content": "{\"Answer\":200}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,82],[0,2,52],[0,3,30],[0,4,33],[0,7,53],[1,2,86],[1,3,5],[1,4,65],[1,7,49],[2,3,8],[3,5,35],[3,6,54],[3,7,69],[4,5,90],[4,6,40],[5,6,77],[6,7,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (0,4)\",\"Add (3,5)\",\"Add (4,6)\",\"Add (1,7)\"],\"Answer\":200}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,82],[0,2,52],[0,3,30],[0,4,33],[0,7,53],[1,2,86],[1,3,5],[1,4,65],[1,7,49],[2,3,8],[3,5,35],[3,6,54],[3,7,69],[4,5,90],[4,6,40],[5,6,77],[6,7,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=5, w=5\",\"Add (2,3)=8, w=13\",\"Add (0,3)=30, w=43\",\"Add (0,4)=33, w=76\",\"Add (3,5)=35, w=111\",\"Add (4,6)=40, w=151\",\"Add (1,7)=49, w=200\"],\"Answer\":200}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,82],[0,2,52],[0,3,30],[0,4,33],[0,7,53],[1,2,86],[1,3,5],[1,4,65],[1,7,49],[2,3,8],[3,5,35],[3,6,54],[3,7,69],[4,5,90],[4,6,40],[5,6,77],[6,7,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=5 Succeeded, w=5\",\"Add (2,3)=8 Succeeded, w=13\",\"Add (0,3)=30 Succeeded, w=43\",\"Add (0,4)=33 Succeeded, w=76\",\"Add (3,5)=35 Succeeded, w=111\",\"Add (4,6)=40 Succeeded, w=151\",\"Add (1,7)=49 Succeeded, w=200\",\"Add (6,7)=51 Failed, w=200\",\"Add (0,2)=52 Failed, w=200\",\"Add (0,7)=53 Failed, w=200\",\"Add (3,6)=54 Failed, w=200\",\"Add (1,4)=65 Failed, w=200\",\"Add (3,7)=69 Failed, w=200\",\"Add (5,6)=77 Failed, w=200\",\"Add (0,1)=82 Failed, w=200\",\"Add (1,2)=86 Failed, w=200\",\"Add (4,5)=90 Failed, w=200\"],\"Answer\":200}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,82],[0,2,52],[0,3,30],[0,4,33],[0,7,53],[1,2,86],[1,3,5],[1,4,65],[1,7,49],[2,3,8],[3,5,35],[3,6,54],[3,7,69],[4,5,90],[4,6,40],[5,6,77],[6,7,51]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=5,(2,3)=8,(0,3)=30,(0,4)=33,(3,5)=35,(4,6)=40,(1,7)=49,(6,7)=51,(0,2)=52,(0,7)=53,(3,6)=54,(1,4)=65,(3,7)=69,(5,6)=77,(0,1)=82,(1,2)=86,(4,5)=90]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Find(2)=2, Find(3)=1, Add (2,3)=8 Succeeded, w=13\",\"Find(0)=0, Find(3)=1, Add (0,3)=30 Succeeded, w=43\",\"Find(0)=1, Find(4)=4, Add (0,4)=33 Succeeded, w=76\",\"Find(3)=1, Find(5)=5, Add (3,5)=35 Succeeded, w=111\",\"Find(4)=1, Find(6)=6, Add (4,6)=40 Succeeded, w=151\",\"Find(1)=1, Find(7)=7, Add (1,7)=49 Succeeded, w=200\",\"Find(6)=1, Find(7)=1, Add (6,7)=51 Failed, w=200\",\"Find(0)=1, Find(2)=1, Add (0,2)=52 Failed, w=200\",\"Find(0)=1, Find(7)=1, Add (0,7)=53 Failed, w=200\",\"Find(3)=1, Find(6)=1, Add (3,6)=54 Failed, w=200\",\"Find(1)=1, Find(4)=1, Add (1,4)=65 Failed, w=200\",\"Find(3)=1, Find(7)=1, Add (3,7)=69 Failed, w=200\",\"Find(5)=1, Find(6)=1, Add (5,6)=77 Failed, w=200\",\"Find(0)=1, Find(1)=1, Add (0,1)=82 Failed, w=200\",\"Find(1)=1, Find(2)=1, Add (1,2)=86 Failed, w=200\",\"Find(4)=1, Find(5)=1, Add (4,5)=90 Failed, w=200\"],\"Answer\":200}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,82],[0,2,52],[0,3,30],[0,4,33],[0,7,53],[1,2,86],[1,3,5],[1,4,65],[1,7,49],[2,3,8],[3,5,35],[3,6,54],[3,7,69],[4,5,90],[4,6,40],[5,6,77],[6,7,51]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=5,(2,3)=8,(0,3)=30,(0,4)=33,(3,5)=35,(4,6)=40,(1,7)=49,(6,7)=51,(0,2)=52,(0,7)=53,(3,6)=54,(1,4)=65,(3,7)=69,(5,6)=77,(0,1)=82,(1,2)=86,(4,5)=90]\",\"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: 1, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=1, Add (2,3)=8 Succeeded, w=13\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=1, Add (0,3)=30 Succeeded, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6, 7: 7}, Find(0)=1, Find(4)=4, Add (0,4)=33 Succeeded, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 7}, Find(3)=1, Find(5)=5, Add (3,5)=35 Succeeded, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(4)=1, Find(6)=6, Add (4,6)=40 Succeeded, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=49 Succeeded, w=200\",\"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)=51 Failed, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=52 Failed, w=200\",\"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)=53 Failed, w=200\",\"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)=54 Failed, w=200\",\"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)=65 Failed, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=69 Failed, w=200\",\"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)=77 Failed, w=200\",\"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)=82 Failed, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=86 Failed, w=200\",\"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)=90 Failed, w=200\"],\"Answer\":200}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,56],[0,3,48],[0,6,28],[0,7,49],[1,2,42],[1,5,9],[1,6,0],[1,7,63],[2,3,42],[2,4,73],[2,5,56],[2,7,12],[3,7,27],[4,5,2],[4,7,21]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,3,48],[0,6,28],[0,7,49],[1,2,42],[1,5,9],[1,6,0],[1,7,63],[2,3,42],[2,4,73],[2,5,56],[2,7,12],[3,7,27],[4,5,2],[4,7,21]]}", "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\":[[0,1,56],[0,3,48],[0,6,28],[0,7,49],[1,2,42],[1,5,9],[1,6,0],[1,7,63],[2,3,42],[2,4,73],[2,5,56],[2,7,12],[3,7,27],[4,5,2],[4,7,21]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,6)\",\"Add (4,5)\",\"Add (1,5)\",\"Add (2,7)\",\"Add (4,7)\",\"Add (3,7)\",\"Add (0,6)\"],\"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\":[[0,1,56],[0,3,48],[0,6,28],[0,7,49],[1,2,42],[1,5,9],[1,6,0],[1,7,63],[2,3,42],[2,4,73],[2,5,56],[2,7,12],[3,7,27],[4,5,2],[4,7,21]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,6)=0, w=0\",\"Add (4,5)=2, w=2\",\"Add (1,5)=9, w=11\",\"Add (2,7)=12, w=23\",\"Add (4,7)=21, w=44\",\"Add (3,7)=27, w=71\",\"Add (0,6)=28, 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\":[[0,1,56],[0,3,48],[0,6,28],[0,7,49],[1,2,42],[1,5,9],[1,6,0],[1,7,63],[2,3,42],[2,4,73],[2,5,56],[2,7,12],[3,7,27],[4,5,2],[4,7,21]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,6)=0 Succeeded, w=0\",\"Add (4,5)=2 Succeeded, w=2\",\"Add (1,5)=9 Succeeded, w=11\",\"Add (2,7)=12 Succeeded, w=23\",\"Add (4,7)=21 Succeeded, w=44\",\"Add (3,7)=27 Succeeded, w=71\",\"Add (0,6)=28 Succeeded, w=99\",\"Add (1,2)=42 Failed, w=99\",\"Add (2,3)=42 Failed, w=99\",\"Add (0,3)=48 Failed, w=99\",\"Add (0,7)=49 Failed, w=99\",\"Add (0,1)=56 Failed, w=99\",\"Add (2,5)=56 Failed, w=99\",\"Add (1,7)=63 Failed, w=99\",\"Add (2,4)=73 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\":[[0,1,56],[0,3,48],[0,6,28],[0,7,49],[1,2,42],[1,5,9],[1,6,0],[1,7,63],[2,3,42],[2,4,73],[2,5,56],[2,7,12],[3,7,27],[4,5,2],[4,7,21]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,6)=0,(4,5)=2,(1,5)=9,(2,7)=12,(4,7)=21,(3,7)=27,(0,6)=28,(1,2)=42,(2,3)=42,(0,3)=48,(0,7)=49,(0,1)=56,(2,5)=56,(1,7)=63,(2,4)=73]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=0 Succeeded, w=0\",\"Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Find(1)=1, Find(5)=4, Add (1,5)=9 Succeeded, w=11\",\"Find(2)=2, Find(7)=7, Add (2,7)=12 Succeeded, w=23\",\"Find(4)=1, Find(7)=2, Add (4,7)=21 Succeeded, w=44\",\"Find(3)=3, Find(7)=1, Add (3,7)=27 Succeeded, w=71\",\"Find(0)=0, Find(6)=1, Add (0,6)=28 Succeeded, w=99\",\"Find(1)=1, Find(2)=1, Add (1,2)=42 Failed, w=99\",\"Find(2)=1, Find(3)=1, Add (2,3)=42 Failed, w=99\",\"Find(0)=1, Find(3)=1, Add (0,3)=48 Failed, w=99\",\"Find(0)=1, Find(7)=1, Add (0,7)=49 Failed, w=99\",\"Find(0)=1, Find(1)=1, Add (0,1)=56 Failed, w=99\",\"Find(2)=1, Find(5)=1, Add (2,5)=56 Failed, w=99\",\"Find(1)=1, Find(7)=1, Add (1,7)=63 Failed, w=99\",\"Find(2)=1, Find(4)=1, Add (2,4)=73 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\":[[0,1,56],[0,3,48],[0,6,28],[0,7,49],[1,2,42],[1,5,9],[1,6,0],[1,7,63],[2,3,42],[2,4,73],[2,5,56],[2,7,12],[3,7,27],[4,5,2],[4,7,21]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,6)=0,(4,5)=2,(1,5)=9,(2,7)=12,(4,7)=21,(3,7)=27,(0,6)=28,(1,2)=42,(2,3)=42,(0,3)=48,(0,7)=49,(0,1)=56,(2,5)=56,(1,7)=63,(2,4)=73]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 1, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 4, 6: 1, 7: 7}, Find(1)=1, Find(5)=4, Add (1,5)=9 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 4, 6: 1, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=12 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 4, 6: 1, 7: 2}, Find(4)=1, Find(7)=2, Add (4,7)=21 Succeeded, w=44\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 1}, Find(3)=3, Find(7)=1, Add (3,7)=27 Succeeded, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 1}, Find(0)=0, Find(6)=1, Add (0,6)=28 Succeeded, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=42 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=42 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=48 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=49 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=56 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)=56 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=63 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)=73 Failed, w=99\"],\"Answer\":99}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,85],[0,3,2],[1,3,24],[3,4,38]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,3,2],[1,3,24],[3,4,38]]}", "role": "user" }, { "content": "{\"Answer\":64}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,3,2],[1,3,24],[3,4,38]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (3,4)\"],\"Answer\":64}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,3,2],[1,3,24],[3,4,38]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=2, w=2\",\"Add (1,3)=24, w=26\",\"Add (3,4)=38, w=64\"],\"Answer\":64}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,3,2],[1,3,24],[3,4,38]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=2 Succeeded, w=2\",\"Add (1,3)=24 Succeeded, w=26\",\"Add (3,4)=38 Succeeded, w=64\",\"Add (0,1)=85 Failed, w=64\"],\"Answer\":64}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,3,2],[1,3,24],[3,4,38]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=2,(1,3)=24,(3,4)=38,(0,1)=85]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=0, Add (1,3)=24 Succeeded, w=26\",\"Find(3)=0, Find(4)=4, Add (3,4)=38 Succeeded, w=64\",\"Find(0)=0, Find(1)=0, Add (0,1)=85 Failed, w=64\"],\"Answer\":64}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,3,2],[1,3,24],[3,4,38]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=2,(1,3)=24,(3,4)=38,(0,1)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(1)=1, Find(3)=0, Add (1,3)=24 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=38 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=85 Failed, w=64\"],\"Answer\":64}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,85],[0,3,31],[1,2,3],[1,3,23],[1,6,24],[1,7,1],[2,3,54],[2,5,55],[2,6,60],[2,7,32],[3,4,95],[3,5,53],[3,7,97],[4,5,7],[4,6,35],[4,7,43],[5,6,87],[5,7,87]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,85],[0,3,31],[1,2,3],[1,3,23],[1,6,24],[1,7,1],[2,3,54],[2,5,55],[2,6,60],[2,7,32],[3,4,95],[3,5,53],[3,7,97],[4,5,7],[4,6,35],[4,7,43],[5,6,87],[5,7,87]]}", "role": "user" }, { "content": "{\"Answer\":124}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,85],[0,3,31],[1,2,3],[1,3,23],[1,6,24],[1,7,1],[2,3,54],[2,5,55],[2,6,60],[2,7,32],[3,4,95],[3,5,53],[3,7,97],[4,5,7],[4,6,35],[4,7,43],[5,6,87],[5,7,87]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,7)\",\"Add (1,2)\",\"Add (4,5)\",\"Add (1,3)\",\"Add (1,6)\",\"Add (0,3)\",\"Add (4,6)\"],\"Answer\":124}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,85],[0,3,31],[1,2,3],[1,3,23],[1,6,24],[1,7,1],[2,3,54],[2,5,55],[2,6,60],[2,7,32],[3,4,95],[3,5,53],[3,7,97],[4,5,7],[4,6,35],[4,7,43],[5,6,87],[5,7,87]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,7)=1, w=1\",\"Add (1,2)=3, w=4\",\"Add (4,5)=7, w=11\",\"Add (1,3)=23, w=34\",\"Add (1,6)=24, w=58\",\"Add (0,3)=31, w=89\",\"Add (4,6)=35, w=124\"],\"Answer\":124}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,85],[0,3,31],[1,2,3],[1,3,23],[1,6,24],[1,7,1],[2,3,54],[2,5,55],[2,6,60],[2,7,32],[3,4,95],[3,5,53],[3,7,97],[4,5,7],[4,6,35],[4,7,43],[5,6,87],[5,7,87]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,7)=1 Succeeded, w=1\",\"Add (1,2)=3 Succeeded, w=4\",\"Add (4,5)=7 Succeeded, w=11\",\"Add (1,3)=23 Succeeded, w=34\",\"Add (1,6)=24 Succeeded, w=58\",\"Add (0,3)=31 Succeeded, w=89\",\"Add (2,7)=32 Failed, w=89\",\"Add (4,6)=35 Succeeded, w=124\",\"Add (4,7)=43 Failed, w=124\",\"Add (3,5)=53 Failed, w=124\",\"Add (2,3)=54 Failed, w=124\",\"Add (2,5)=55 Failed, w=124\",\"Add (2,6)=60 Failed, w=124\",\"Add (0,2)=85 Failed, w=124\",\"Add (5,6)=87 Failed, w=124\",\"Add (5,7)=87 Failed, w=124\",\"Add (3,4)=95 Failed, w=124\",\"Add (3,7)=97 Failed, w=124\"],\"Answer\":124}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,85],[0,3,31],[1,2,3],[1,3,23],[1,6,24],[1,7,1],[2,3,54],[2,5,55],[2,6,60],[2,7,32],[3,4,95],[3,5,53],[3,7,97],[4,5,7],[4,6,35],[4,7,43],[5,6,87],[5,7,87]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,7)=1,(1,2)=3,(4,5)=7,(1,3)=23,(1,6)=24,(0,3)=31,(2,7)=32,(4,6)=35,(4,7)=43,(3,5)=53,(2,3)=54,(2,5)=55,(2,6)=60,(0,2)=85,(5,6)=87,(5,7)=87,(3,4)=95,(3,7)=97]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=1 Succeeded, w=1\",\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=4\",\"Find(4)=4, Find(5)=5, Add (4,5)=7 Succeeded, w=11\",\"Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=34\",\"Find(1)=1, Find(6)=6, Add (1,6)=24 Succeeded, w=58\",\"Find(0)=0, Find(3)=1, Add (0,3)=31 Succeeded, w=89\",\"Find(2)=1, Find(7)=1, Add (2,7)=32 Failed, w=89\",\"Find(4)=4, Find(6)=1, Add (4,6)=35 Succeeded, w=124\",\"Find(4)=4, Find(7)=4, Add (4,7)=43 Failed, w=124\",\"Find(3)=4, Find(5)=4, Add (3,5)=53 Failed, w=124\",\"Find(2)=4, Find(3)=4, Add (2,3)=54 Failed, w=124\",\"Find(2)=4, Find(5)=4, Add (2,5)=55 Failed, w=124\",\"Find(2)=4, Find(6)=4, Add (2,6)=60 Failed, w=124\",\"Find(0)=4, Find(2)=4, Add (0,2)=85 Failed, w=124\",\"Find(5)=4, Find(6)=4, Add (5,6)=87 Failed, w=124\",\"Find(5)=4, Find(7)=4, Add (5,7)=87 Failed, w=124\",\"Find(3)=4, Find(4)=4, Add (3,4)=95 Failed, w=124\",\"Find(3)=4, Find(7)=4, Add (3,7)=97 Failed, w=124\"],\"Answer\":124}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,85],[0,3,31],[1,2,3],[1,3,23],[1,6,24],[1,7,1],[2,3,54],[2,5,55],[2,6,60],[2,7,32],[3,4,95],[3,5,53],[3,7,97],[4,5,7],[4,6,35],[4,7,43],[5,6,87],[5,7,87]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,7)=1,(1,2)=3,(4,5)=7,(1,3)=23,(1,6)=24,(0,3)=31,(2,7)=32,(4,6)=35,(4,7)=43,(3,5)=53,(2,3)=54,(2,5)=55,(2,6)=60,(0,2)=85,(5,6)=87,(5,7)=87,(3,4)=95,(3,7)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 6, 7: 1}, Find(4)=4, Find(5)=5, Add (4,5)=7 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 6, 7: 1}, Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 1, 7: 1}, Find(1)=1, Find(6)=6, Add (1,6)=24 Succeeded, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 1, 7: 1}, Find(0)=0, Find(3)=1, Add (0,3)=31 Succeeded, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=32 Failed, w=89\",\"Parent: {0: 1, 1: 4, 2: 1, 3: 1, 4: 4, 5: 4, 6: 1, 7: 1}, Find(4)=4, Find(6)=1, Add (4,6)=35 Succeeded, w=124\",\"Parent: {0: 1, 1: 4, 2: 1, 3: 1, 4: 4, 5: 4, 6: 1, 7: 4}, Find(4)=4, Find(7)=4, Add (4,7)=43 Failed, w=124\",\"Parent: {0: 1, 1: 4, 2: 1, 3: 4, 4: 4, 5: 4, 6: 1, 7: 4}, Find(3)=4, Find(5)=4, Add (3,5)=53 Failed, w=124\",\"Parent: {0: 1, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 1, 7: 4}, Find(2)=4, Find(3)=4, Add (2,3)=54 Failed, w=124\",\"Parent: {0: 1, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 1, 7: 4}, Find(2)=4, Find(5)=4, Add (2,5)=55 Failed, w=124\",\"Parent: {0: 1, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(6)=4, Add (2,6)=60 Failed, w=124\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(2)=4, Add (0,2)=85 Failed, w=124\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(6)=4, Add (5,6)=87 Failed, w=124\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(7)=4, Add (5,7)=87 Failed, w=124\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(4)=4, Add (3,4)=95 Failed, w=124\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(7)=4, Add (3,7)=97 Failed, w=124\"],\"Answer\":124}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,20],[1,2,15],[1,4,25],[1,5,52]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,20],[1,2,15],[1,4,25],[1,5,52]]}", "role": "user" }, { "content": "{\"Answer\":112}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,20],[1,2,15],[1,4,25],[1,5,52]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (1,4)\",\"Add (1,5)\"],\"Answer\":112}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,20],[1,2,15],[1,4,25],[1,5,52]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=15, w=15\",\"Add (0,3)=20, w=35\",\"Add (1,4)=25, w=60\",\"Add (1,5)=52, w=112\"],\"Answer\":112}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,20],[1,2,15],[1,4,25],[1,5,52]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=15 Succeeded, w=15\",\"Add (0,3)=20 Succeeded, w=35\",\"Add (1,4)=25 Succeeded, w=60\",\"Add (1,5)=52 Succeeded, w=112\"],\"Answer\":112}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,20],[1,2,15],[1,4,25],[1,5,52]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=15,(0,3)=20,(1,4)=25,(1,5)=52]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=15\",\"Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=35\",\"Find(1)=1, Find(4)=4, Add (1,4)=25 Succeeded, w=60\",\"Find(1)=1, Find(5)=5, Add (1,5)=52 Succeeded, w=112\"],\"Answer\":112}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,20],[1,2,15],[1,4,25],[1,5,52]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=15,(0,3)=20,(1,4)=25,(1,5)=52]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=25 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=52 Succeeded, w=112\"],\"Answer\":112}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,14],[0,2,17],[0,3,78],[0,4,95],[0,5,87],[0,7,24],[1,3,61],[1,4,40],[1,5,70],[1,6,57],[1,7,51],[2,3,23],[2,4,84],[2,5,95],[2,6,56],[3,4,82],[3,5,29],[3,7,8],[4,5,90],[4,6,77],[4,7,17],[5,6,38],[5,7,44],[6,7,5]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,17],[0,3,78],[0,4,95],[0,5,87],[0,7,24],[1,3,61],[1,4,40],[1,5,70],[1,6,57],[1,7,51],[2,3,23],[2,4,84],[2,5,95],[2,6,56],[3,4,82],[3,5,29],[3,7,8],[4,5,90],[4,6,77],[4,7,17],[5,6,38],[5,7,44],[6,7,5]]}", "role": "user" }, { "content": "{\"Answer\":113}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,17],[0,3,78],[0,4,95],[0,5,87],[0,7,24],[1,3,61],[1,4,40],[1,5,70],[1,6,57],[1,7,51],[2,3,23],[2,4,84],[2,5,95],[2,6,56],[3,4,82],[3,5,29],[3,7,8],[4,5,90],[4,6,77],[4,7,17],[5,6,38],[5,7,44],[6,7,5]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (6,7)\",\"Add (3,7)\",\"Add (0,1)\",\"Add (0,2)\",\"Add (4,7)\",\"Add (2,3)\",\"Add (3,5)\"],\"Answer\":113}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,17],[0,3,78],[0,4,95],[0,5,87],[0,7,24],[1,3,61],[1,4,40],[1,5,70],[1,6,57],[1,7,51],[2,3,23],[2,4,84],[2,5,95],[2,6,56],[3,4,82],[3,5,29],[3,7,8],[4,5,90],[4,6,77],[4,7,17],[5,6,38],[5,7,44],[6,7,5]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (6,7)=5, w=5\",\"Add (3,7)=8, w=13\",\"Add (0,1)=14, w=27\",\"Add (0,2)=17, w=44\",\"Add (4,7)=17, w=61\",\"Add (2,3)=23, w=84\",\"Add (3,5)=29, w=113\"],\"Answer\":113}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,17],[0,3,78],[0,4,95],[0,5,87],[0,7,24],[1,3,61],[1,4,40],[1,5,70],[1,6,57],[1,7,51],[2,3,23],[2,4,84],[2,5,95],[2,6,56],[3,4,82],[3,5,29],[3,7,8],[4,5,90],[4,6,77],[4,7,17],[5,6,38],[5,7,44],[6,7,5]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (6,7)=5 Succeeded, w=5\",\"Add (3,7)=8 Succeeded, w=13\",\"Add (0,1)=14 Succeeded, w=27\",\"Add (0,2)=17 Succeeded, w=44\",\"Add (4,7)=17 Succeeded, w=61\",\"Add (2,3)=23 Succeeded, w=84\",\"Add (0,7)=24 Failed, w=84\",\"Add (3,5)=29 Succeeded, w=113\",\"Add (5,6)=38 Failed, w=113\",\"Add (1,4)=40 Failed, w=113\",\"Add (5,7)=44 Failed, w=113\",\"Add (1,7)=51 Failed, w=113\",\"Add (2,6)=56 Failed, w=113\",\"Add (1,6)=57 Failed, w=113\",\"Add (1,3)=61 Failed, w=113\",\"Add (1,5)=70 Failed, w=113\",\"Add (4,6)=77 Failed, w=113\",\"Add (0,3)=78 Failed, w=113\",\"Add (3,4)=82 Failed, w=113\",\"Add (2,4)=84 Failed, w=113\",\"Add (0,5)=87 Failed, w=113\",\"Add (4,5)=90 Failed, w=113\",\"Add (0,4)=95 Failed, w=113\",\"Add (2,5)=95 Failed, w=113\"],\"Answer\":113}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,17],[0,3,78],[0,4,95],[0,5,87],[0,7,24],[1,3,61],[1,4,40],[1,5,70],[1,6,57],[1,7,51],[2,3,23],[2,4,84],[2,5,95],[2,6,56],[3,4,82],[3,5,29],[3,7,8],[4,5,90],[4,6,77],[4,7,17],[5,6,38],[5,7,44],[6,7,5]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(6,7)=5,(3,7)=8,(0,1)=14,(0,2)=17,(4,7)=17,(2,3)=23,(0,7)=24,(3,5)=29,(5,6)=38,(1,4)=40,(5,7)=44,(1,7)=51,(2,6)=56,(1,6)=57,(1,3)=61,(1,5)=70,(4,6)=77,(0,3)=78,(3,4)=82,(2,4)=84,(0,5)=87,(4,5)=90,(0,4)=95,(2,5)=95]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=5 Succeeded, w=5\",\"Find(3)=3, Find(7)=6, Add (3,7)=8 Succeeded, w=13\",\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=27\",\"Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=44\",\"Find(4)=4, Find(7)=6, Add (4,7)=17 Succeeded, w=61\",\"Find(2)=0, Find(3)=6, Add (2,3)=23 Succeeded, w=84\",\"Find(0)=0, Find(7)=0, Add (0,7)=24 Failed, w=84\",\"Find(3)=0, Find(5)=5, Add (3,5)=29 Succeeded, w=113\",\"Find(5)=0, Find(6)=0, Add (5,6)=38 Failed, w=113\",\"Find(1)=0, Find(4)=0, Add (1,4)=40 Failed, w=113\",\"Find(5)=0, Find(7)=0, Add (5,7)=44 Failed, w=113\",\"Find(1)=0, Find(7)=0, Add (1,7)=51 Failed, w=113\",\"Find(2)=0, Find(6)=0, Add (2,6)=56 Failed, w=113\",\"Find(1)=0, Find(6)=0, Add (1,6)=57 Failed, w=113\",\"Find(1)=0, Find(3)=0, Add (1,3)=61 Failed, w=113\",\"Find(1)=0, Find(5)=0, Add (1,5)=70 Failed, w=113\",\"Find(4)=0, Find(6)=0, Add (4,6)=77 Failed, w=113\",\"Find(0)=0, Find(3)=0, Add (0,3)=78 Failed, w=113\",\"Find(3)=0, Find(4)=0, Add (3,4)=82 Failed, w=113\",\"Find(2)=0, Find(4)=0, Add (2,4)=84 Failed, w=113\",\"Find(0)=0, Find(5)=0, Add (0,5)=87 Failed, w=113\",\"Find(4)=0, Find(5)=0, Add (4,5)=90 Failed, w=113\",\"Find(0)=0, Find(4)=0, Add (0,4)=95 Failed, w=113\",\"Find(2)=0, Find(5)=0, Add (2,5)=95 Failed, w=113\"],\"Answer\":113}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,17],[0,3,78],[0,4,95],[0,5,87],[0,7,24],[1,3,61],[1,4,40],[1,5,70],[1,6,57],[1,7,51],[2,3,23],[2,4,84],[2,5,95],[2,6,56],[3,4,82],[3,5,29],[3,7,8],[4,5,90],[4,6,77],[4,7,17],[5,6,38],[5,7,44],[6,7,5]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(6,7)=5,(3,7)=8,(0,1)=14,(0,2)=17,(4,7)=17,(2,3)=23,(0,7)=24,(3,5)=29,(5,6)=38,(1,4)=40,(5,7)=44,(1,7)=51,(2,6)=56,(1,6)=57,(1,3)=61,(1,5)=70,(4,6)=77,(0,3)=78,(3,4)=82,(2,4)=84,(0,5)=87,(4,5)=90,(0,4)=95,(2,5)=95]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 6, 4: 4, 5: 5, 6: 6, 7: 6}, Find(3)=3, Find(7)=6, Add (3,7)=8 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 6, 4: 4, 5: 5, 6: 6, 7: 6}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 6, 4: 4, 5: 5, 6: 6, 7: 6}, Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 6, 4: 6, 5: 5, 6: 6, 7: 6}, Find(4)=4, Find(7)=6, Add (4,7)=17 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 6, 4: 6, 5: 5, 6: 0, 7: 6}, Find(2)=0, Find(3)=6, Add (2,3)=23 Succeeded, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 6, 4: 6, 5: 5, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=24 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 6, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=5, Add (3,5)=29 Succeeded, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 6, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=38 Failed, w=113\",\"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)=40 Failed, w=113\",\"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)=44 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=51 Failed, w=113\",\"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)=56 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=57 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=61 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=70 Failed, w=113\",\"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)=77 Failed, w=113\",\"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)=78 Failed, w=113\",\"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=113\",\"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)=84 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=87 Failed, w=113\",\"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)=90 Failed, w=113\",\"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)=95 Failed, w=113\",\"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)=95 Failed, w=113\"],\"Answer\":113}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,86],[0,2,28],[0,4,27],[1,2,6],[1,3,83],[1,4,18],[3,4,55]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,28],[0,4,27],[1,2,6],[1,3,83],[1,4,18],[3,4,55]]}", "role": "user" }, { "content": "{\"Answer\":106}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,28],[0,4,27],[1,2,6],[1,3,83],[1,4,18],[3,4,55]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (3,4)\"],\"Answer\":106}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,28],[0,4,27],[1,2,6],[1,3,83],[1,4,18],[3,4,55]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=6, w=6\",\"Add (1,4)=18, w=24\",\"Add (0,4)=27, w=51\",\"Add (3,4)=55, w=106\"],\"Answer\":106}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,28],[0,4,27],[1,2,6],[1,3,83],[1,4,18],[3,4,55]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=6 Succeeded, w=6\",\"Add (1,4)=18 Succeeded, w=24\",\"Add (0,4)=27 Succeeded, w=51\",\"Add (0,2)=28 Failed, w=51\",\"Add (3,4)=55 Succeeded, w=106\",\"Add (1,3)=83 Failed, w=106\",\"Add (0,1)=86 Failed, w=106\"],\"Answer\":106}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,28],[0,4,27],[1,2,6],[1,3,83],[1,4,18],[3,4,55]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=6,(1,4)=18,(0,4)=27,(0,2)=28,(3,4)=55,(1,3)=83,(0,1)=86]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Find(1)=1, Find(4)=4, Add (1,4)=18 Succeeded, w=24\",\"Find(0)=0, Find(4)=1, Add (0,4)=27 Succeeded, w=51\",\"Find(0)=1, Find(2)=1, Add (0,2)=28 Failed, w=51\",\"Find(3)=3, Find(4)=1, Add (3,4)=55 Succeeded, w=106\",\"Find(1)=1, Find(3)=1, Add (1,3)=83 Failed, w=106\",\"Find(0)=1, Find(1)=1, Add (0,1)=86 Failed, w=106\"],\"Answer\":106}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,28],[0,4,27],[1,2,6],[1,3,83],[1,4,18],[3,4,55]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=6,(1,4)=18,(0,4)=27,(0,2)=28,(3,4)=55,(1,3)=83,(0,1)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=18 Succeeded, w=24\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=27 Succeeded, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=28 Failed, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=3, Find(4)=1, Add (3,4)=55 Succeeded, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=83 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=86 Failed, w=106\"],\"Answer\":106}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,31],[0,4,69],[0,5,54],[0,6,45],[1,2,61],[1,3,64],[1,4,83],[1,5,98],[1,6,50],[2,3,88],[2,4,26],[2,5,19],[2,6,81],[3,4,19],[3,5,31],[3,6,53],[4,5,56],[4,6,58],[5,6,86]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,31],[0,4,69],[0,5,54],[0,6,45],[1,2,61],[1,3,64],[1,4,83],[1,5,98],[1,6,50],[2,3,88],[2,4,26],[2,5,19],[2,6,81],[3,4,19],[3,5,31],[3,6,53],[4,5,56],[4,6,58],[5,6,86]]}", "role": "user" }, { "content": "{\"Answer\":190}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,31],[0,4,69],[0,5,54],[0,6,45],[1,2,61],[1,3,64],[1,4,83],[1,5,98],[1,6,50],[2,3,88],[2,4,26],[2,5,19],[2,6,81],[3,4,19],[3,5,31],[3,6,53],[4,5,56],[4,6,58],[5,6,86]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (0,6)\",\"Add (1,6)\"],\"Answer\":190}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,31],[0,4,69],[0,5,54],[0,6,45],[1,2,61],[1,3,64],[1,4,83],[1,5,98],[1,6,50],[2,3,88],[2,4,26],[2,5,19],[2,6,81],[3,4,19],[3,5,31],[3,6,53],[4,5,56],[4,6,58],[5,6,86]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=19, w=19\",\"Add (3,4)=19, w=38\",\"Add (2,4)=26, w=64\",\"Add (0,3)=31, w=95\",\"Add (0,6)=45, w=140\",\"Add (1,6)=50, w=190\"],\"Answer\":190}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,31],[0,4,69],[0,5,54],[0,6,45],[1,2,61],[1,3,64],[1,4,83],[1,5,98],[1,6,50],[2,3,88],[2,4,26],[2,5,19],[2,6,81],[3,4,19],[3,5,31],[3,6,53],[4,5,56],[4,6,58],[5,6,86]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=19 Succeeded, w=19\",\"Add (3,4)=19 Succeeded, w=38\",\"Add (2,4)=26 Succeeded, w=64\",\"Add (0,3)=31 Succeeded, w=95\",\"Add (3,5)=31 Failed, w=95\",\"Add (0,6)=45 Succeeded, w=140\",\"Add (1,6)=50 Succeeded, w=190\",\"Add (3,6)=53 Failed, w=190\",\"Add (0,5)=54 Failed, w=190\",\"Add (4,5)=56 Failed, w=190\",\"Add (4,6)=58 Failed, w=190\",\"Add (1,2)=61 Failed, w=190\",\"Add (1,3)=64 Failed, w=190\",\"Add (0,4)=69 Failed, w=190\",\"Add (2,6)=81 Failed, w=190\",\"Add (1,4)=83 Failed, w=190\",\"Add (5,6)=86 Failed, w=190\",\"Add (2,3)=88 Failed, w=190\",\"Add (1,5)=98 Failed, w=190\"],\"Answer\":190}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,31],[0,4,69],[0,5,54],[0,6,45],[1,2,61],[1,3,64],[1,4,83],[1,5,98],[1,6,50],[2,3,88],[2,4,26],[2,5,19],[2,6,81],[3,4,19],[3,5,31],[3,6,53],[4,5,56],[4,6,58],[5,6,86]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=19,(3,4)=19,(2,4)=26,(0,3)=31,(3,5)=31,(0,6)=45,(1,6)=50,(3,6)=53,(0,5)=54,(4,5)=56,(4,6)=58,(1,2)=61,(1,3)=64,(0,4)=69,(2,6)=81,(1,4)=83,(5,6)=86,(2,3)=88,(1,5)=98]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=19 Succeeded, w=19\",\"Find(3)=3, Find(4)=4, Add (3,4)=19 Succeeded, w=38\",\"Find(2)=2, Find(4)=3, Add (2,4)=26 Succeeded, w=64\",\"Find(0)=0, Find(3)=2, Add (0,3)=31 Succeeded, w=95\",\"Find(3)=2, Find(5)=2, Add (3,5)=31 Failed, w=95\",\"Find(0)=2, Find(6)=6, Add (0,6)=45 Succeeded, w=140\",\"Find(1)=1, Find(6)=2, Add (1,6)=50 Succeeded, w=190\",\"Find(3)=2, Find(6)=2, Add (3,6)=53 Failed, w=190\",\"Find(0)=2, Find(5)=2, Add (0,5)=54 Failed, w=190\",\"Find(4)=2, Find(5)=2, Add (4,5)=56 Failed, w=190\",\"Find(4)=2, Find(6)=2, Add (4,6)=58 Failed, w=190\",\"Find(1)=2, Find(2)=2, Add (1,2)=61 Failed, w=190\",\"Find(1)=2, Find(3)=2, Add (1,3)=64 Failed, w=190\",\"Find(0)=2, Find(4)=2, Add (0,4)=69 Failed, w=190\",\"Find(2)=2, Find(6)=2, Add (2,6)=81 Failed, w=190\",\"Find(1)=2, Find(4)=2, Add (1,4)=83 Failed, w=190\",\"Find(5)=2, Find(6)=2, Add (5,6)=86 Failed, w=190\",\"Find(2)=2, Find(3)=2, Add (2,3)=88 Failed, w=190\",\"Find(1)=2, Find(5)=2, Add (1,5)=98 Failed, w=190\"],\"Answer\":190}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,31],[0,4,69],[0,5,54],[0,6,45],[1,2,61],[1,3,64],[1,4,83],[1,5,98],[1,6,50],[2,3,88],[2,4,26],[2,5,19],[2,6,81],[3,4,19],[3,5,31],[3,6,53],[4,5,56],[4,6,58],[5,6,86]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=19,(3,4)=19,(2,4)=26,(0,3)=31,(3,5)=31,(0,6)=45,(1,6)=50,(3,6)=53,(0,5)=54,(4,5)=56,(4,6)=58,(1,2)=61,(1,3)=64,(0,4)=69,(2,6)=81,(1,4)=83,(5,6)=86,(2,3)=88,(1,5)=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)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=19 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 3, 5: 2, 6: 6}, Find(2)=2, Find(4)=3, Add (2,4)=26 Succeeded, w=64\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 3, 5: 2, 6: 6}, Find(0)=0, Find(3)=2, Add (0,3)=31 Succeeded, w=95\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 3, 5: 2, 6: 6}, Find(3)=2, Find(5)=2, Add (3,5)=31 Failed, w=95\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2}, Find(0)=2, Find(6)=6, Add (0,6)=45 Succeeded, w=140\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2}, Find(1)=1, Find(6)=2, Add (1,6)=50 Succeeded, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=53 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=54 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=56 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=58 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=61 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=64 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=69 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=81 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=83 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=86 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=88 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=98 Failed, w=190\"],\"Answer\":190}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,46],[0,2,95],[0,3,69],[1,2,44],[1,3,33],[2,3,24]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,95],[0,3,69],[1,2,44],[1,3,33],[2,3,24]]}", "role": "user" }, { "content": "{\"Answer\":103}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,95],[0,3,69],[1,2,44],[1,3,33],[2,3,24]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":103}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,95],[0,3,69],[1,2,44],[1,3,33],[2,3,24]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=24, w=24\",\"Add (1,3)=33, w=57\",\"Add (0,1)=46, w=103\"],\"Answer\":103}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,95],[0,3,69],[1,2,44],[1,3,33],[2,3,24]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=24 Succeeded, w=24\",\"Add (1,3)=33 Succeeded, w=57\",\"Add (1,2)=44 Failed, w=57\",\"Add (0,1)=46 Succeeded, w=103\",\"Add (0,3)=69 Failed, w=103\",\"Add (0,2)=95 Failed, w=103\"],\"Answer\":103}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,95],[0,3,69],[1,2,44],[1,3,33],[2,3,24]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=24,(1,3)=33,(1,2)=44,(0,1)=46,(0,3)=69,(0,2)=95]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=24 Succeeded, w=24\",\"Find(1)=1, Find(3)=2, Add (1,3)=33 Succeeded, w=57\",\"Find(1)=2, Find(2)=2, Add (1,2)=44 Failed, w=57\",\"Find(0)=0, Find(1)=2, Add (0,1)=46 Succeeded, w=103\",\"Find(0)=2, Find(3)=2, Add (0,3)=69 Failed, w=103\",\"Find(0)=2, Find(2)=2, Add (0,2)=95 Failed, w=103\"],\"Answer\":103}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,95],[0,3,69],[1,2,44],[1,3,33],[2,3,24]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=24,(1,3)=33,(1,2)=44,(0,1)=46,(0,3)=69,(0,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=24 Succeeded, w=24\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=33 Succeeded, w=57\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=44 Failed, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(1)=2, Add (0,1)=46 Succeeded, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=69 Failed, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=95 Failed, w=103\"],\"Answer\":103}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,96],[0,3,57],[0,4,71],[0,5,12],[0,6,39],[1,3,45],[1,4,88],[1,5,96],[1,6,75],[2,3,73],[2,4,41],[2,5,48],[2,6,34],[3,5,85],[3,6,91],[4,5,47],[5,6,19]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,3,57],[0,4,71],[0,5,12],[0,6,39],[1,3,45],[1,4,88],[1,5,96],[1,6,75],[2,3,73],[2,4,41],[2,5,48],[2,6,34],[3,5,85],[3,6,91],[4,5,47],[5,6,19]]}", "role": "user" }, { "content": "{\"Answer\":208}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,3,57],[0,4,71],[0,5,12],[0,6,39],[1,3,45],[1,4,88],[1,5,96],[1,6,75],[2,3,73],[2,4,41],[2,5,48],[2,6,34],[3,5,85],[3,6,91],[4,5,47],[5,6,19]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)\",\"Add (5,6)\",\"Add (2,6)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":208}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,3,57],[0,4,71],[0,5,12],[0,6,39],[1,3,45],[1,4,88],[1,5,96],[1,6,75],[2,3,73],[2,4,41],[2,5,48],[2,6,34],[3,5,85],[3,6,91],[4,5,47],[5,6,19]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)=12, w=12\",\"Add (5,6)=19, w=31\",\"Add (2,6)=34, w=65\",\"Add (2,4)=41, w=106\",\"Add (1,3)=45, w=151\",\"Add (0,3)=57, w=208\"],\"Answer\":208}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,3,57],[0,4,71],[0,5,12],[0,6,39],[1,3,45],[1,4,88],[1,5,96],[1,6,75],[2,3,73],[2,4,41],[2,5,48],[2,6,34],[3,5,85],[3,6,91],[4,5,47],[5,6,19]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,5)=12 Succeeded, w=12\",\"Add (5,6)=19 Succeeded, w=31\",\"Add (2,6)=34 Succeeded, w=65\",\"Add (0,6)=39 Failed, w=65\",\"Add (2,4)=41 Succeeded, w=106\",\"Add (1,3)=45 Succeeded, w=151\",\"Add (4,5)=47 Failed, w=151\",\"Add (2,5)=48 Failed, w=151\",\"Add (0,3)=57 Succeeded, w=208\",\"Add (0,4)=71 Failed, w=208\",\"Add (2,3)=73 Failed, w=208\",\"Add (1,6)=75 Failed, w=208\",\"Add (3,5)=85 Failed, w=208\",\"Add (1,4)=88 Failed, w=208\",\"Add (3,6)=91 Failed, w=208\",\"Add (0,1)=96 Failed, w=208\",\"Add (1,5)=96 Failed, w=208\"],\"Answer\":208}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,3,57],[0,4,71],[0,5,12],[0,6,39],[1,3,45],[1,4,88],[1,5,96],[1,6,75],[2,3,73],[2,4,41],[2,5,48],[2,6,34],[3,5,85],[3,6,91],[4,5,47],[5,6,19]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,5)=12,(5,6)=19,(2,6)=34,(0,6)=39,(2,4)=41,(1,3)=45,(4,5)=47,(2,5)=48,(0,3)=57,(0,4)=71,(2,3)=73,(1,6)=75,(3,5)=85,(1,4)=88,(3,6)=91,(0,1)=96,(1,5)=96]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=12 Succeeded, w=12\",\"Find(5)=0, Find(6)=6, Add (5,6)=19 Succeeded, w=31\",\"Find(2)=2, Find(6)=0, Add (2,6)=34 Succeeded, w=65\",\"Find(0)=0, Find(6)=0, Add (0,6)=39 Failed, w=65\",\"Find(2)=0, Find(4)=4, Add (2,4)=41 Succeeded, w=106\",\"Find(1)=1, Find(3)=3, Add (1,3)=45 Succeeded, w=151\",\"Find(4)=0, Find(5)=0, Add (4,5)=47 Failed, w=151\",\"Find(2)=0, Find(5)=0, Add (2,5)=48 Failed, w=151\",\"Find(0)=0, Find(3)=1, Add (0,3)=57 Succeeded, w=208\",\"Find(0)=0, Find(4)=0, Add (0,4)=71 Failed, w=208\",\"Find(2)=0, Find(3)=0, Add (2,3)=73 Failed, w=208\",\"Find(1)=0, Find(6)=0, Add (1,6)=75 Failed, w=208\",\"Find(3)=0, Find(5)=0, Add (3,5)=85 Failed, w=208\",\"Find(1)=0, Find(4)=0, Add (1,4)=88 Failed, w=208\",\"Find(3)=0, Find(6)=0, Add (3,6)=91 Failed, w=208\",\"Find(0)=0, Find(1)=0, Add (0,1)=96 Failed, w=208\",\"Find(1)=0, Find(5)=0, Add (1,5)=96 Failed, w=208\"],\"Answer\":208}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,3,57],[0,4,71],[0,5,12],[0,6,39],[1,3,45],[1,4,88],[1,5,96],[1,6,75],[2,3,73],[2,4,41],[2,5,48],[2,6,34],[3,5,85],[3,6,91],[4,5,47],[5,6,19]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,5)=12,(5,6)=19,(2,6)=34,(0,6)=39,(2,4)=41,(1,3)=45,(4,5)=47,(2,5)=48,(0,3)=57,(0,4)=71,(2,3)=73,(1,6)=75,(3,5)=85,(1,4)=88,(3,6)=91,(0,1)=96,(1,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 0}, Find(5)=0, Find(6)=6, Add (5,6)=19 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=34 Succeeded, w=65\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=39 Failed, w=65\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=4, Add (2,4)=41 Succeeded, w=106\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0}, Find(1)=1, Find(3)=3, Add (1,3)=45 Succeeded, w=151\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=47 Failed, w=151\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=48 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=1, Add (0,3)=57 Succeeded, w=208\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=71 Failed, w=208\",\"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=208\",\"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=208\",\"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=208\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=88 Failed, w=208\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=91 Failed, w=208\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=96 Failed, w=208\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=96 Failed, w=208\"],\"Answer\":208}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,19],[0,3,95],[1,3,27],[1,4,18],[1,5,56],[2,4,12],[2,5,58],[3,5,41],[4,5,76]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,19],[0,3,95],[1,3,27],[1,4,18],[1,5,56],[2,4,12],[2,5,58],[3,5,41],[4,5,76]]}", "role": "user" }, { "content": "{\"Answer\":117}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,19],[0,3,95],[1,3,27],[1,4,18],[1,5,56],[2,4,12],[2,5,58],[3,5,41],[4,5,76]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (3,5)\"],\"Answer\":117}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,19],[0,3,95],[1,3,27],[1,4,18],[1,5,56],[2,4,12],[2,5,58],[3,5,41],[4,5,76]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=12, w=12\",\"Add (1,4)=18, w=30\",\"Add (0,2)=19, w=49\",\"Add (1,3)=27, w=76\",\"Add (3,5)=41, w=117\"],\"Answer\":117}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,19],[0,3,95],[1,3,27],[1,4,18],[1,5,56],[2,4,12],[2,5,58],[3,5,41],[4,5,76]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=12 Succeeded, w=12\",\"Add (1,4)=18 Succeeded, w=30\",\"Add (0,2)=19 Succeeded, w=49\",\"Add (1,3)=27 Succeeded, w=76\",\"Add (3,5)=41 Succeeded, w=117\",\"Add (1,5)=56 Failed, w=117\",\"Add (2,5)=58 Failed, w=117\",\"Add (4,5)=76 Failed, w=117\",\"Add (0,3)=95 Failed, w=117\"],\"Answer\":117}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,19],[0,3,95],[1,3,27],[1,4,18],[1,5,56],[2,4,12],[2,5,58],[3,5,41],[4,5,76]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=12,(1,4)=18,(0,2)=19,(1,3)=27,(3,5)=41,(1,5)=56,(2,5)=58,(4,5)=76,(0,3)=95]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=12\",\"Find(1)=1, Find(4)=2, Add (1,4)=18 Succeeded, w=30\",\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=49\",\"Find(1)=2, Find(3)=3, Add (1,3)=27 Succeeded, w=76\",\"Find(3)=2, Find(5)=5, Add (3,5)=41 Succeeded, w=117\",\"Find(1)=2, Find(5)=2, Add (1,5)=56 Failed, w=117\",\"Find(2)=2, Find(5)=2, Add (2,5)=58 Failed, w=117\",\"Find(4)=2, Find(5)=2, Add (4,5)=76 Failed, w=117\",\"Find(0)=2, Find(3)=2, Add (0,3)=95 Failed, w=117\"],\"Answer\":117}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,19],[0,3,95],[1,3,27],[1,4,18],[1,5,56],[2,4,12],[2,5,58],[3,5,41],[4,5,76]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=12,(1,4)=18,(0,2)=19,(1,3)=27,(3,5)=41,(1,5)=56,(2,5)=58,(4,5)=76,(0,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5}, Find(1)=1, Find(4)=2, Add (1,4)=18 Succeeded, w=30\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=49\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5}, Find(1)=2, Find(3)=3, Add (1,3)=27 Succeeded, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=5, Add (3,5)=41 Succeeded, w=117\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=56 Failed, w=117\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=58 Failed, w=117\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=76 Failed, w=117\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=95 Failed, w=117\"],\"Answer\":117}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,41],[0,2,23],[0,3,90],[1,2,98],[1,3,36],[2,3,44]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,23],[0,3,90],[1,2,98],[1,3,36],[2,3,44]]}", "role": "user" }, { "content": "{\"Answer\":100}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,23],[0,3,90],[1,2,98],[1,3,36],[2,3,44]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":100}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,23],[0,3,90],[1,2,98],[1,3,36],[2,3,44]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=23, w=23\",\"Add (1,3)=36, w=59\",\"Add (0,1)=41, w=100\"],\"Answer\":100}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,23],[0,3,90],[1,2,98],[1,3,36],[2,3,44]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=23 Succeeded, w=23\",\"Add (1,3)=36 Succeeded, w=59\",\"Add (0,1)=41 Succeeded, w=100\",\"Add (2,3)=44 Failed, w=100\",\"Add (0,3)=90 Failed, w=100\",\"Add (1,2)=98 Failed, w=100\"],\"Answer\":100}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,23],[0,3,90],[1,2,98],[1,3,36],[2,3,44]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=23,(1,3)=36,(0,1)=41,(2,3)=44,(0,3)=90,(1,2)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=23\",\"Find(1)=1, Find(3)=3, Add (1,3)=36 Succeeded, w=59\",\"Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=100\",\"Find(2)=0, Find(3)=0, Add (2,3)=44 Failed, w=100\",\"Find(0)=0, Find(3)=0, Add (0,3)=90 Failed, w=100\",\"Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=100\"],\"Answer\":100}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,23],[0,3,90],[1,2,98],[1,3,36],[2,3,44]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=23,(1,3)=36,(0,1)=41,(2,3)=44,(0,3)=90,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=36 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=44 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=90 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=100\"],\"Answer\":100}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,75],[0,3,3],[0,4,62],[0,5,26],[1,2,14],[1,3,18],[1,5,3],[2,3,86],[2,5,68],[3,4,79]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,75],[0,3,3],[0,4,62],[0,5,26],[1,2,14],[1,3,18],[1,5,3],[2,3,86],[2,5,68],[3,4,79]]}", "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],\"edges\":[[0,2,75],[0,3,3],[0,4,62],[0,5,26],[1,2,14],[1,3,18],[1,5,3],[2,3,86],[2,5,68],[3,4,79]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (1,5)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":100}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,75],[0,3,3],[0,4,62],[0,5,26],[1,2,14],[1,3,18],[1,5,3],[2,3,86],[2,5,68],[3,4,79]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=3, w=3\",\"Add (1,5)=3, w=6\",\"Add (1,2)=14, w=20\",\"Add (1,3)=18, w=38\",\"Add (0,4)=62, w=100\"],\"Answer\":100}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,75],[0,3,3],[0,4,62],[0,5,26],[1,2,14],[1,3,18],[1,5,3],[2,3,86],[2,5,68],[3,4,79]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=3 Succeeded, w=3\",\"Add (1,5)=3 Succeeded, w=6\",\"Add (1,2)=14 Succeeded, w=20\",\"Add (1,3)=18 Succeeded, w=38\",\"Add (0,5)=26 Failed, w=38\",\"Add (0,4)=62 Succeeded, w=100\",\"Add (2,5)=68 Failed, w=100\",\"Add (0,2)=75 Failed, w=100\",\"Add (3,4)=79 Failed, w=100\",\"Add (2,3)=86 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],\"edges\":[[0,2,75],[0,3,3],[0,4,62],[0,5,26],[1,2,14],[1,3,18],[1,5,3],[2,3,86],[2,5,68],[3,4,79]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=3,(1,5)=3,(1,2)=14,(1,3)=18,(0,5)=26,(0,4)=62,(2,5)=68,(0,2)=75,(3,4)=79,(2,3)=86]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(1)=1, Find(5)=5, Add (1,5)=3 Succeeded, w=6\",\"Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=20\",\"Find(1)=1, Find(3)=0, Add (1,3)=18 Succeeded, w=38\",\"Find(0)=1, Find(5)=1, Add (0,5)=26 Failed, w=38\",\"Find(0)=1, Find(4)=4, Add (0,4)=62 Succeeded, w=100\",\"Find(2)=1, Find(5)=1, Add (2,5)=68 Failed, w=100\",\"Find(0)=1, Find(2)=1, Add (0,2)=75 Failed, w=100\",\"Find(3)=1, Find(4)=1, Add (3,4)=79 Failed, w=100\",\"Find(2)=1, Find(3)=1, Add (2,3)=86 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],\"edges\":[[0,2,75],[0,3,3],[0,4,62],[0,5,26],[1,2,14],[1,3,18],[1,5,3],[2,3,86],[2,5,68],[3,4,79]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=3,(1,5)=3,(1,2)=14,(1,3)=18,(0,5)=26,(0,4)=62,(2,5)=68,(0,2)=75,(3,4)=79,(2,3)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=3 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 1}, Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 4, 5: 1}, Find(1)=1, Find(3)=0, Add (1,3)=18 Succeeded, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 4, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=26 Failed, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1}, Find(0)=1, Find(4)=4, Add (0,4)=62 Succeeded, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=68 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=75 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=79 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=86 Failed, w=100\"],\"Answer\":100}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,98],[0,3,36],[0,4,3],[1,2,60],[1,3,50],[1,4,33],[1,6,85],[2,4,24],[2,6,59],[3,6,11],[4,5,96],[4,6,79]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,3,36],[0,4,3],[1,2,60],[1,3,50],[1,4,33],[1,6,85],[2,4,24],[2,6,59],[3,6,11],[4,5,96],[4,6,79]]}", "role": "user" }, { "content": "{\"Answer\":203}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,3,36],[0,4,3],[1,2,60],[1,3,50],[1,4,33],[1,6,85],[2,4,24],[2,6,59],[3,6,11],[4,5,96],[4,6,79]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)\",\"Add (3,6)\",\"Add (2,4)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (4,5)\"],\"Answer\":203}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,3,36],[0,4,3],[1,2,60],[1,3,50],[1,4,33],[1,6,85],[2,4,24],[2,6,59],[3,6,11],[4,5,96],[4,6,79]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)=3, w=3\",\"Add (3,6)=11, w=14\",\"Add (2,4)=24, w=38\",\"Add (1,4)=33, w=71\",\"Add (0,3)=36, w=107\",\"Add (4,5)=96, w=203\"],\"Answer\":203}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,3,36],[0,4,3],[1,2,60],[1,3,50],[1,4,33],[1,6,85],[2,4,24],[2,6,59],[3,6,11],[4,5,96],[4,6,79]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)=3 Succeeded, w=3\",\"Add (3,6)=11 Succeeded, w=14\",\"Add (2,4)=24 Succeeded, w=38\",\"Add (1,4)=33 Succeeded, w=71\",\"Add (0,3)=36 Succeeded, w=107\",\"Add (1,3)=50 Failed, w=107\",\"Add (2,6)=59 Failed, w=107\",\"Add (1,2)=60 Failed, w=107\",\"Add (4,6)=79 Failed, w=107\",\"Add (1,6)=85 Failed, w=107\",\"Add (4,5)=96 Succeeded, w=203\",\"Add (0,1)=98 Failed, w=203\"],\"Answer\":203}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,3,36],[0,4,3],[1,2,60],[1,3,50],[1,4,33],[1,6,85],[2,4,24],[2,6,59],[3,6,11],[4,5,96],[4,6,79]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,4)=3,(3,6)=11,(2,4)=24,(1,4)=33,(0,3)=36,(1,3)=50,(2,6)=59,(1,2)=60,(4,6)=79,(1,6)=85,(4,5)=96,(0,1)=98]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Find(3)=3, Find(6)=6, Add (3,6)=11 Succeeded, w=14\",\"Find(2)=2, Find(4)=0, Add (2,4)=24 Succeeded, w=38\",\"Find(1)=1, Find(4)=0, Add (1,4)=33 Succeeded, w=71\",\"Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=107\",\"Find(1)=0, Find(3)=0, Add (1,3)=50 Failed, w=107\",\"Find(2)=0, Find(6)=0, Add (2,6)=59 Failed, w=107\",\"Find(1)=0, Find(2)=0, Add (1,2)=60 Failed, w=107\",\"Find(4)=0, Find(6)=0, Add (4,6)=79 Failed, w=107\",\"Find(1)=0, Find(6)=0, Add (1,6)=85 Failed, w=107\",\"Find(4)=0, Find(5)=5, Add (4,5)=96 Succeeded, w=203\",\"Find(0)=0, Find(1)=0, Add (0,1)=98 Failed, w=203\"],\"Answer\":203}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,3,36],[0,4,3],[1,2,60],[1,3,50],[1,4,33],[1,6,85],[2,4,24],[2,6,59],[3,6,11],[4,5,96],[4,6,79]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,4)=3,(3,6)=11,(2,4)=24,(1,4)=33,(0,3)=36,(1,3)=50,(2,6)=59,(1,2)=60,(4,6)=79,(1,6)=85,(4,5)=96,(0,1)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=11 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 3}, Find(2)=2, Find(4)=0, Add (2,4)=24 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 3}, Find(1)=1, Find(4)=0, Add (1,4)=33 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 3}, Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 3}, Find(1)=0, Find(3)=0, Add (1,3)=50 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=59 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=60 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=79 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=85 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=5, Add (4,5)=96 Succeeded, w=203\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=98 Failed, w=203\"],\"Answer\":203}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,56],[1,3,12],[2,3,45],[2,4,74]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[1,3,12],[2,3,45],[2,4,74]]}", "role": "user" }, { "content": "{\"Answer\":187}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[1,3,12],[2,3,45],[2,4,74]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (2,4)\"],\"Answer\":187}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[1,3,12],[2,3,45],[2,4,74]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=12, w=12\",\"Add (2,3)=45, w=57\",\"Add (0,1)=56, w=113\",\"Add (2,4)=74, w=187\"],\"Answer\":187}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[1,3,12],[2,3,45],[2,4,74]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=12 Succeeded, w=12\",\"Add (2,3)=45 Succeeded, w=57\",\"Add (0,1)=56 Succeeded, w=113\",\"Add (2,4)=74 Succeeded, w=187\"],\"Answer\":187}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[1,3,12],[2,3,45],[2,4,74]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=12,(2,3)=45,(0,1)=56,(2,4)=74]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=12\",\"Find(2)=2, Find(3)=1, Add (2,3)=45 Succeeded, w=57\",\"Find(0)=0, Find(1)=1, Add (0,1)=56 Succeeded, w=113\",\"Find(2)=1, Find(4)=4, Add (2,4)=74 Succeeded, w=187\"],\"Answer\":187}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[1,3,12],[2,3,45],[2,4,74]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=12,(2,3)=45,(0,1)=56,(2,4)=74]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=2, Find(3)=1, Add (2,3)=45 Succeeded, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=56 Succeeded, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=74 Succeeded, w=187\"],\"Answer\":187}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,15],[0,2,81],[0,3,99],[0,4,67],[0,5,10],[0,6,64],[0,7,73],[1,2,97],[1,3,57],[1,4,24],[1,5,52],[1,6,37],[1,7,89],[2,3,59],[2,4,90],[2,5,28],[2,6,1],[2,7,63],[3,4,42],[3,5,23],[3,6,26],[3,7,33],[4,5,76],[4,6,38],[4,7,13],[5,6,70],[5,7,7],[6,7,32]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,81],[0,3,99],[0,4,67],[0,5,10],[0,6,64],[0,7,73],[1,2,97],[1,3,57],[1,4,24],[1,5,52],[1,6,37],[1,7,89],[2,3,59],[2,4,90],[2,5,28],[2,6,1],[2,7,63],[3,4,42],[3,5,23],[3,6,26],[3,7,33],[4,5,76],[4,6,38],[4,7,13],[5,6,70],[5,7,7],[6,7,32]]}", "role": "user" }, { "content": "{\"Answer\":95}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,81],[0,3,99],[0,4,67],[0,5,10],[0,6,64],[0,7,73],[1,2,97],[1,3,57],[1,4,24],[1,5,52],[1,6,37],[1,7,89],[2,3,59],[2,4,90],[2,5,28],[2,6,1],[2,7,63],[3,4,42],[3,5,23],[3,6,26],[3,7,33],[4,5,76],[4,6,38],[4,7,13],[5,6,70],[5,7,7],[6,7,32]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,6)\",\"Add (5,7)\",\"Add (0,5)\",\"Add (4,7)\",\"Add (0,1)\",\"Add (3,5)\",\"Add (3,6)\"],\"Answer\":95}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,81],[0,3,99],[0,4,67],[0,5,10],[0,6,64],[0,7,73],[1,2,97],[1,3,57],[1,4,24],[1,5,52],[1,6,37],[1,7,89],[2,3,59],[2,4,90],[2,5,28],[2,6,1],[2,7,63],[3,4,42],[3,5,23],[3,6,26],[3,7,33],[4,5,76],[4,6,38],[4,7,13],[5,6,70],[5,7,7],[6,7,32]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,6)=1, w=1\",\"Add (5,7)=7, w=8\",\"Add (0,5)=10, w=18\",\"Add (4,7)=13, w=31\",\"Add (0,1)=15, w=46\",\"Add (3,5)=23, w=69\",\"Add (3,6)=26, w=95\"],\"Answer\":95}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,81],[0,3,99],[0,4,67],[0,5,10],[0,6,64],[0,7,73],[1,2,97],[1,3,57],[1,4,24],[1,5,52],[1,6,37],[1,7,89],[2,3,59],[2,4,90],[2,5,28],[2,6,1],[2,7,63],[3,4,42],[3,5,23],[3,6,26],[3,7,33],[4,5,76],[4,6,38],[4,7,13],[5,6,70],[5,7,7],[6,7,32]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,6)=1 Succeeded, w=1\",\"Add (5,7)=7 Succeeded, w=8\",\"Add (0,5)=10 Succeeded, w=18\",\"Add (4,7)=13 Succeeded, w=31\",\"Add (0,1)=15 Succeeded, w=46\",\"Add (3,5)=23 Succeeded, w=69\",\"Add (1,4)=24 Failed, w=69\",\"Add (3,6)=26 Succeeded, w=95\",\"Add (2,5)=28 Failed, w=95\",\"Add (6,7)=32 Failed, w=95\",\"Add (3,7)=33 Failed, w=95\",\"Add (1,6)=37 Failed, w=95\",\"Add (4,6)=38 Failed, w=95\",\"Add (3,4)=42 Failed, w=95\",\"Add (1,5)=52 Failed, w=95\",\"Add (1,3)=57 Failed, w=95\",\"Add (2,3)=59 Failed, w=95\",\"Add (2,7)=63 Failed, w=95\",\"Add (0,6)=64 Failed, w=95\",\"Add (0,4)=67 Failed, w=95\",\"Add (5,6)=70 Failed, w=95\",\"Add (0,7)=73 Failed, w=95\",\"Add (4,5)=76 Failed, w=95\",\"Add (0,2)=81 Failed, w=95\",\"Add (1,7)=89 Failed, w=95\",\"Add (2,4)=90 Failed, w=95\",\"Add (1,2)=97 Failed, w=95\",\"Add (0,3)=99 Failed, w=95\"],\"Answer\":95}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,81],[0,3,99],[0,4,67],[0,5,10],[0,6,64],[0,7,73],[1,2,97],[1,3,57],[1,4,24],[1,5,52],[1,6,37],[1,7,89],[2,3,59],[2,4,90],[2,5,28],[2,6,1],[2,7,63],[3,4,42],[3,5,23],[3,6,26],[3,7,33],[4,5,76],[4,6,38],[4,7,13],[5,6,70],[5,7,7],[6,7,32]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,6)=1,(5,7)=7,(0,5)=10,(4,7)=13,(0,1)=15,(3,5)=23,(1,4)=24,(3,6)=26,(2,5)=28,(6,7)=32,(3,7)=33,(1,6)=37,(4,6)=38,(3,4)=42,(1,5)=52,(1,3)=57,(2,3)=59,(2,7)=63,(0,6)=64,(0,4)=67,(5,6)=70,(0,7)=73,(4,5)=76,(0,2)=81,(1,7)=89,(2,4)=90,(1,2)=97,(0,3)=99]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=1 Succeeded, w=1\",\"Find(5)=5, Find(7)=7, Add (5,7)=7 Succeeded, w=8\",\"Find(0)=0, Find(5)=5, Add (0,5)=10 Succeeded, w=18\",\"Find(4)=4, Find(7)=5, Add (4,7)=13 Succeeded, w=31\",\"Find(0)=5, Find(1)=1, Add (0,1)=15 Succeeded, w=46\",\"Find(3)=3, Find(5)=5, Add (3,5)=23 Succeeded, w=69\",\"Find(1)=5, Find(4)=5, Add (1,4)=24 Failed, w=69\",\"Find(3)=5, Find(6)=2, Add (3,6)=26 Succeeded, w=95\",\"Find(2)=5, Find(5)=5, Add (2,5)=28 Failed, w=95\",\"Find(6)=5, Find(7)=5, Add (6,7)=32 Failed, w=95\",\"Find(3)=5, Find(7)=5, Add (3,7)=33 Failed, w=95\",\"Find(1)=5, Find(6)=5, Add (1,6)=37 Failed, w=95\",\"Find(4)=5, Find(6)=5, Add (4,6)=38 Failed, w=95\",\"Find(3)=5, Find(4)=5, Add (3,4)=42 Failed, w=95\",\"Find(1)=5, Find(5)=5, Add (1,5)=52 Failed, w=95\",\"Find(1)=5, Find(3)=5, Add (1,3)=57 Failed, w=95\",\"Find(2)=5, Find(3)=5, Add (2,3)=59 Failed, w=95\",\"Find(2)=5, Find(7)=5, Add (2,7)=63 Failed, w=95\",\"Find(0)=5, Find(6)=5, Add (0,6)=64 Failed, w=95\",\"Find(0)=5, Find(4)=5, Add (0,4)=67 Failed, w=95\",\"Find(5)=5, Find(6)=5, Add (5,6)=70 Failed, w=95\",\"Find(0)=5, Find(7)=5, Add (0,7)=73 Failed, w=95\",\"Find(4)=5, Find(5)=5, Add (4,5)=76 Failed, w=95\",\"Find(0)=5, Find(2)=5, Add (0,2)=81 Failed, w=95\",\"Find(1)=5, Find(7)=5, Add (1,7)=89 Failed, w=95\",\"Find(2)=5, Find(4)=5, Add (2,4)=90 Failed, w=95\",\"Find(1)=5, Find(2)=5, Add (1,2)=97 Failed, w=95\",\"Find(0)=5, Find(3)=5, Add (0,3)=99 Failed, w=95\"],\"Answer\":95}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,81],[0,3,99],[0,4,67],[0,5,10],[0,6,64],[0,7,73],[1,2,97],[1,3,57],[1,4,24],[1,5,52],[1,6,37],[1,7,89],[2,3,59],[2,4,90],[2,5,28],[2,6,1],[2,7,63],[3,4,42],[3,5,23],[3,6,26],[3,7,33],[4,5,76],[4,6,38],[4,7,13],[5,6,70],[5,7,7],[6,7,32]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,6)=1,(5,7)=7,(0,5)=10,(4,7)=13,(0,1)=15,(3,5)=23,(1,4)=24,(3,6)=26,(2,5)=28,(6,7)=32,(3,7)=33,(1,6)=37,(4,6)=38,(3,4)=42,(1,5)=52,(1,3)=57,(2,3)=59,(2,7)=63,(0,6)=64,(0,4)=67,(5,6)=70,(0,7)=73,(4,5)=76,(0,2)=81,(1,7)=89,(2,4)=90,(1,2)=97,(0,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=7 Succeeded, w=8\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 5}, Find(0)=0, Find(5)=5, Add (0,5)=10 Succeeded, w=18\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 5, 5: 5, 6: 2, 7: 5}, Find(4)=4, Find(7)=5, Add (4,7)=13 Succeeded, w=31\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 3, 4: 5, 5: 5, 6: 2, 7: 5}, Find(0)=5, Find(1)=1, Add (0,1)=15 Succeeded, w=46\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 2, 7: 5}, Find(3)=3, Find(5)=5, Add (3,5)=23 Succeeded, w=69\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 2, 7: 5}, Find(1)=5, Find(4)=5, Add (1,4)=24 Failed, w=69\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 2, 7: 5}, Find(3)=5, Find(6)=2, Add (3,6)=26 Succeeded, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 2, 7: 5}, Find(2)=5, Find(5)=5, Add (2,5)=28 Failed, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(6)=5, Find(7)=5, Add (6,7)=32 Failed, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(7)=5, Add (3,7)=33 Failed, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(6)=5, Add (1,6)=37 Failed, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=5, Find(6)=5, Add (4,6)=38 Failed, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(4)=5, Add (3,4)=42 Failed, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(5)=5, Add (1,5)=52 Failed, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(3)=5, Add (1,3)=57 Failed, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(3)=5, Add (2,3)=59 Failed, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(7)=5, Add (2,7)=63 Failed, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(6)=5, Add (0,6)=64 Failed, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(4)=5, Add (0,4)=67 Failed, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(5)=5, Find(6)=5, Add (5,6)=70 Failed, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(7)=5, Add (0,7)=73 Failed, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=5, Find(5)=5, Add (4,5)=76 Failed, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(2)=5, Add (0,2)=81 Failed, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(7)=5, Add (1,7)=89 Failed, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(4)=5, Add (2,4)=90 Failed, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(2)=5, Add (1,2)=97 Failed, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(3)=5, Add (0,3)=99 Failed, w=95\"],\"Answer\":95}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,60],[0,2,16],[1,2,22],[1,3,9],[2,3,40]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60],[0,2,16],[1,2,22],[1,3,9],[2,3,40]]}", "role": "user" }, { "content": "{\"Answer\":47}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60],[0,2,16],[1,2,22],[1,3,9],[2,3,40]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":47}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60],[0,2,16],[1,2,22],[1,3,9],[2,3,40]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=9, w=9\",\"Add (0,2)=16, w=25\",\"Add (1,2)=22, w=47\"],\"Answer\":47}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60],[0,2,16],[1,2,22],[1,3,9],[2,3,40]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=9 Succeeded, w=9\",\"Add (0,2)=16 Succeeded, w=25\",\"Add (1,2)=22 Succeeded, w=47\",\"Add (2,3)=40 Failed, w=47\",\"Add (0,1)=60 Failed, w=47\"],\"Answer\":47}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60],[0,2,16],[1,2,22],[1,3,9],[2,3,40]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=9,(0,2)=16,(1,2)=22,(2,3)=40,(0,1)=60]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=9\",\"Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=25\",\"Find(1)=1, Find(2)=0, Add (1,2)=22 Succeeded, w=47\",\"Find(2)=1, Find(3)=1, Add (2,3)=40 Failed, w=47\",\"Find(0)=1, Find(1)=1, Add (0,1)=60 Failed, w=47\"],\"Answer\":47}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60],[0,2,16],[1,2,22],[1,3,9],[2,3,40]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=9,(0,2)=16,(1,2)=22,(2,3)=40,(0,1)=60]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=25\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(2)=0, Add (1,2)=22 Succeeded, w=47\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=40 Failed, w=47\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=60 Failed, w=47\"],\"Answer\":47}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,80],[0,2,56],[0,3,85],[2,3,41]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,56],[0,3,85],[2,3,41]]}", "role": "user" }, { "content": "{\"Answer\":177}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,56],[0,3,85],[2,3,41]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":177}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,56],[0,3,85],[2,3,41]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=41, w=41\",\"Add (0,2)=56, w=97\",\"Add (0,1)=80, w=177\"],\"Answer\":177}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,56],[0,3,85],[2,3,41]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=41 Succeeded, w=41\",\"Add (0,2)=56 Succeeded, w=97\",\"Add (0,1)=80 Succeeded, w=177\",\"Add (0,3)=85 Failed, w=177\"],\"Answer\":177}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,56],[0,3,85],[2,3,41]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=41,(0,2)=56,(0,1)=80,(0,3)=85]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=41 Succeeded, w=41\",\"Find(0)=0, Find(2)=2, Add (0,2)=56 Succeeded, w=97\",\"Find(0)=2, Find(1)=1, Add (0,1)=80 Succeeded, w=177\",\"Find(0)=2, Find(3)=2, Add (0,3)=85 Failed, w=177\"],\"Answer\":177}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,56],[0,3,85],[2,3,41]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=41,(0,2)=56,(0,1)=80,(0,3)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=41 Succeeded, w=41\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=56 Succeeded, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=1, Add (0,1)=80 Succeeded, w=177\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=85 Failed, w=177\"],\"Answer\":177}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,18],[0,3,45],[0,4,1],[1,2,58],[1,3,2],[1,4,95],[2,4,90],[3,4,71]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,3,45],[0,4,1],[1,2,58],[1,3,2],[1,4,95],[2,4,90],[3,4,71]]}", "role": "user" }, { "content": "{\"Answer\":79}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,3,45],[0,4,1],[1,2,58],[1,3,2],[1,4,95],[2,4,90],[3,4,71]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)\",\"Add (1,3)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":79}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,3,45],[0,4,1],[1,2,58],[1,3,2],[1,4,95],[2,4,90],[3,4,71]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)=1, w=1\",\"Add (1,3)=2, w=3\",\"Add (0,1)=18, w=21\",\"Add (1,2)=58, w=79\"],\"Answer\":79}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,3,45],[0,4,1],[1,2,58],[1,3,2],[1,4,95],[2,4,90],[3,4,71]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)=1 Succeeded, w=1\",\"Add (1,3)=2 Succeeded, w=3\",\"Add (0,1)=18 Succeeded, w=21\",\"Add (0,3)=45 Failed, w=21\",\"Add (1,2)=58 Succeeded, w=79\",\"Add (3,4)=71 Failed, w=79\",\"Add (2,4)=90 Failed, w=79\",\"Add (1,4)=95 Failed, w=79\"],\"Answer\":79}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,3,45],[0,4,1],[1,2,58],[1,3,2],[1,4,95],[2,4,90],[3,4,71]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,4)=1,(1,3)=2,(0,1)=18,(0,3)=45,(1,2)=58,(3,4)=71,(2,4)=90,(1,4)=95]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=21\",\"Find(0)=0, Find(3)=0, Add (0,3)=45 Failed, w=21\",\"Find(1)=0, Find(2)=2, Add (1,2)=58 Succeeded, w=79\",\"Find(3)=0, Find(4)=0, Add (3,4)=71 Failed, w=79\",\"Find(2)=0, Find(4)=0, Add (2,4)=90 Failed, w=79\",\"Find(1)=0, Find(4)=0, Add (1,4)=95 Failed, w=79\"],\"Answer\":79}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,3,45],[0,4,1],[1,2,58],[1,3,2],[1,4,95],[2,4,90],[3,4,71]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,4)=1,(1,3)=2,(0,1)=18,(0,3)=45,(1,2)=58,(3,4)=71,(2,4)=90,(1,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=45 Failed, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=2, Add (1,2)=58 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=71 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=90 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=95 Failed, w=79\"],\"Answer\":79}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,17],[0,3,85],[1,2,95],[1,3,72],[2,3,90]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,3,85],[1,2,95],[1,3,72],[2,3,90]]}", "role": "user" }, { "content": "{\"Answer\":179}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,3,85],[1,2,95],[1,3,72],[2,3,90]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":179}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,3,85],[1,2,95],[1,3,72],[2,3,90]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=17, w=17\",\"Add (1,3)=72, w=89\",\"Add (2,3)=90, w=179\"],\"Answer\":179}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,3,85],[1,2,95],[1,3,72],[2,3,90]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=17 Succeeded, w=17\",\"Add (1,3)=72 Succeeded, w=89\",\"Add (0,3)=85 Failed, w=89\",\"Add (2,3)=90 Succeeded, w=179\",\"Add (1,2)=95 Failed, w=179\"],\"Answer\":179}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,3,85],[1,2,95],[1,3,72],[2,3,90]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=17,(1,3)=72,(0,3)=85,(2,3)=90,(1,2)=95]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=17\",\"Find(1)=0, Find(3)=3, Add (1,3)=72 Succeeded, w=89\",\"Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=89\",\"Find(2)=2, Find(3)=0, Add (2,3)=90 Succeeded, w=179\",\"Find(1)=0, Find(2)=0, Add (1,2)=95 Failed, w=179\"],\"Answer\":179}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,3,85],[1,2,95],[1,3,72],[2,3,90]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=17,(1,3)=72,(0,3)=85,(2,3)=90,(1,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=72 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=90 Succeeded, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=95 Failed, w=179\"],\"Answer\":179}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,6],[0,2,9],[0,4,98],[0,5,48],[0,7,30],[1,2,82],[1,4,15],[1,5,87],[1,6,59],[1,7,4],[2,4,9],[2,5,26],[2,7,89],[3,5,23],[3,6,9],[3,7,32],[5,6,85],[5,7,37],[6,7,68]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,2,9],[0,4,98],[0,5,48],[0,7,30],[1,2,82],[1,4,15],[1,5,87],[1,6,59],[1,7,4],[2,4,9],[2,5,26],[2,7,89],[3,5,23],[3,6,9],[3,7,32],[5,6,85],[5,7,37],[6,7,68]]}", "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\":[[0,1,6],[0,2,9],[0,4,98],[0,5,48],[0,7,30],[1,2,82],[1,4,15],[1,5,87],[1,6,59],[1,7,4],[2,4,9],[2,5,26],[2,7,89],[3,5,23],[3,6,9],[3,7,32],[5,6,85],[5,7,37],[6,7,68]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,7)\",\"Add (0,1)\",\"Add (0,2)\",\"Add (2,4)\",\"Add (3,6)\",\"Add (3,5)\",\"Add (2,5)\"],\"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\":[[0,1,6],[0,2,9],[0,4,98],[0,5,48],[0,7,30],[1,2,82],[1,4,15],[1,5,87],[1,6,59],[1,7,4],[2,4,9],[2,5,26],[2,7,89],[3,5,23],[3,6,9],[3,7,32],[5,6,85],[5,7,37],[6,7,68]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,7)=4, w=4\",\"Add (0,1)=6, w=10\",\"Add (0,2)=9, w=19\",\"Add (2,4)=9, w=28\",\"Add (3,6)=9, w=37\",\"Add (3,5)=23, w=60\",\"Add (2,5)=26, 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\":[[0,1,6],[0,2,9],[0,4,98],[0,5,48],[0,7,30],[1,2,82],[1,4,15],[1,5,87],[1,6,59],[1,7,4],[2,4,9],[2,5,26],[2,7,89],[3,5,23],[3,6,9],[3,7,32],[5,6,85],[5,7,37],[6,7,68]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,7)=4 Succeeded, w=4\",\"Add (0,1)=6 Succeeded, w=10\",\"Add (0,2)=9 Succeeded, w=19\",\"Add (2,4)=9 Succeeded, w=28\",\"Add (3,6)=9 Succeeded, w=37\",\"Add (1,4)=15 Failed, w=37\",\"Add (3,5)=23 Succeeded, w=60\",\"Add (2,5)=26 Succeeded, w=86\",\"Add (0,7)=30 Failed, w=86\",\"Add (3,7)=32 Failed, w=86\",\"Add (5,7)=37 Failed, w=86\",\"Add (0,5)=48 Failed, w=86\",\"Add (1,6)=59 Failed, w=86\",\"Add (6,7)=68 Failed, w=86\",\"Add (1,2)=82 Failed, w=86\",\"Add (5,6)=85 Failed, w=86\",\"Add (1,5)=87 Failed, w=86\",\"Add (2,7)=89 Failed, w=86\",\"Add (0,4)=98 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\":[[0,1,6],[0,2,9],[0,4,98],[0,5,48],[0,7,30],[1,2,82],[1,4,15],[1,5,87],[1,6,59],[1,7,4],[2,4,9],[2,5,26],[2,7,89],[3,5,23],[3,6,9],[3,7,32],[5,6,85],[5,7,37],[6,7,68]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,7)=4,(0,1)=6,(0,2)=9,(2,4)=9,(3,6)=9,(1,4)=15,(3,5)=23,(2,5)=26,(0,7)=30,(3,7)=32,(5,7)=37,(0,5)=48,(1,6)=59,(6,7)=68,(1,2)=82,(5,6)=85,(1,5)=87,(2,7)=89,(0,4)=98]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=4 Succeeded, w=4\",\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=10\",\"Find(0)=1, Find(2)=2, Add (0,2)=9 Succeeded, w=19\",\"Find(2)=1, Find(4)=4, Add (2,4)=9 Succeeded, w=28\",\"Find(3)=3, Find(6)=6, Add (3,6)=9 Succeeded, w=37\",\"Find(1)=1, Find(4)=1, Add (1,4)=15 Failed, w=37\",\"Find(3)=3, Find(5)=5, Add (3,5)=23 Succeeded, w=60\",\"Find(2)=1, Find(5)=3, Add (2,5)=26 Succeeded, w=86\",\"Find(0)=1, Find(7)=1, Add (0,7)=30 Failed, w=86\",\"Find(3)=1, Find(7)=1, Add (3,7)=32 Failed, w=86\",\"Find(5)=1, Find(7)=1, Add (5,7)=37 Failed, w=86\",\"Find(0)=1, Find(5)=1, Add (0,5)=48 Failed, w=86\",\"Find(1)=1, Find(6)=1, Add (1,6)=59 Failed, w=86\",\"Find(6)=1, Find(7)=1, Add (6,7)=68 Failed, w=86\",\"Find(1)=1, Find(2)=1, Add (1,2)=82 Failed, w=86\",\"Find(5)=1, Find(6)=1, Add (5,6)=85 Failed, w=86\",\"Find(1)=1, Find(5)=1, Add (1,5)=87 Failed, w=86\",\"Find(2)=1, Find(7)=1, Add (2,7)=89 Failed, w=86\",\"Find(0)=1, Find(4)=1, Add (0,4)=98 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\":[[0,1,6],[0,2,9],[0,4,98],[0,5,48],[0,7,30],[1,2,82],[1,4,15],[1,5,87],[1,6,59],[1,7,4],[2,4,9],[2,5,26],[2,7,89],[3,5,23],[3,6,9],[3,7,32],[5,6,85],[5,7,37],[6,7,68]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,7)=4,(0,1)=6,(0,2)=9,(2,4)=9,(3,6)=9,(1,4)=15,(3,5)=23,(2,5)=26,(0,7)=30,(3,7)=32,(5,7)=37,(0,5)=48,(1,6)=59,(6,7)=68,(1,2)=82,(5,6)=85,(1,5)=87,(2,7)=89,(0,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=4 Succeeded, w=4\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(0)=1, Find(2)=2, Add (0,2)=9 Succeeded, w=19\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 6, 7: 1}, Find(2)=1, Find(4)=4, Add (2,4)=9 Succeeded, w=28\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 3, 7: 1}, Find(3)=3, Find(6)=6, Add (3,6)=9 Succeeded, w=37\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 3, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=15 Failed, w=37\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 3, 6: 3, 7: 1}, Find(3)=3, Find(5)=5, Add (3,5)=23 Succeeded, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 3, 7: 1}, Find(2)=1, Find(5)=3, Add (2,5)=26 Succeeded, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 3, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=30 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 3, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=32 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=37 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=48 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=59 Failed, w=86\",\"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)=68 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=82 Failed, w=86\",\"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)=85 Failed, w=86\",\"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)=87 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=89 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=98 Failed, w=86\"],\"Answer\":86}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,26],[0,2,69],[0,3,57],[0,4,96],[1,2,72],[1,3,46],[1,4,86],[2,3,39],[2,4,28],[3,4,73]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,69],[0,3,57],[0,4,96],[1,2,72],[1,3,46],[1,4,86],[2,3,39],[2,4,28],[3,4,73]]}", "role": "user" }, { "content": "{\"Answer\":139}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,69],[0,3,57],[0,4,96],[1,2,72],[1,3,46],[1,4,86],[2,3,39],[2,4,28],[3,4,73]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (2,4)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":139}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,69],[0,3,57],[0,4,96],[1,2,72],[1,3,46],[1,4,86],[2,3,39],[2,4,28],[3,4,73]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=26, w=26\",\"Add (2,4)=28, w=54\",\"Add (2,3)=39, w=93\",\"Add (1,3)=46, w=139\"],\"Answer\":139}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,69],[0,3,57],[0,4,96],[1,2,72],[1,3,46],[1,4,86],[2,3,39],[2,4,28],[3,4,73]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=26 Succeeded, w=26\",\"Add (2,4)=28 Succeeded, w=54\",\"Add (2,3)=39 Succeeded, w=93\",\"Add (1,3)=46 Succeeded, w=139\",\"Add (0,3)=57 Failed, w=139\",\"Add (0,2)=69 Failed, w=139\",\"Add (1,2)=72 Failed, w=139\",\"Add (3,4)=73 Failed, w=139\",\"Add (1,4)=86 Failed, w=139\",\"Add (0,4)=96 Failed, w=139\"],\"Answer\":139}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,69],[0,3,57],[0,4,96],[1,2,72],[1,3,46],[1,4,86],[2,3,39],[2,4,28],[3,4,73]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=26,(2,4)=28,(2,3)=39,(1,3)=46,(0,3)=57,(0,2)=69,(1,2)=72,(3,4)=73,(1,4)=86,(0,4)=96]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=26\",\"Find(2)=2, Find(4)=4, Add (2,4)=28 Succeeded, w=54\",\"Find(2)=2, Find(3)=3, Add (2,3)=39 Succeeded, w=93\",\"Find(1)=0, Find(3)=2, Add (1,3)=46 Succeeded, w=139\",\"Find(0)=0, Find(3)=0, Add (0,3)=57 Failed, w=139\",\"Find(0)=0, Find(2)=0, Add (0,2)=69 Failed, w=139\",\"Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=139\",\"Find(3)=0, Find(4)=0, Add (3,4)=73 Failed, w=139\",\"Find(1)=0, Find(4)=0, Add (1,4)=86 Failed, w=139\",\"Find(0)=0, Find(4)=0, Add (0,4)=96 Failed, w=139\"],\"Answer\":139}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,69],[0,3,57],[0,4,96],[1,2,72],[1,3,46],[1,4,86],[2,3,39],[2,4,28],[3,4,73]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=26,(2,4)=28,(2,3)=39,(1,3)=46,(0,3)=57,(0,2)=69,(1,2)=72,(3,4)=73,(1,4)=86,(0,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=28 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=3, Add (2,3)=39 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2}, Find(1)=0, Find(3)=2, Add (1,3)=46 Succeeded, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(0)=0, Find(3)=0, Add (0,3)=57 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(0)=0, Find(2)=0, Add (0,2)=69 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=73 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=86 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=96 Failed, w=139\"],\"Answer\":139}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,59],[0,3,25],[0,4,35],[0,5,45],[0,6,100],[1,2,79],[1,3,11],[1,4,14],[1,6,44],[2,3,8],[2,6,15],[3,4,10],[3,6,36],[4,5,83],[5,6,61]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,59],[0,3,25],[0,4,35],[0,5,45],[0,6,100],[1,2,79],[1,3,11],[1,4,14],[1,6,44],[2,3,8],[2,6,15],[3,4,10],[3,6,36],[4,5,83],[5,6,61]]}", "role": "user" }, { "content": "{\"Answer\":114}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,59],[0,3,25],[0,4,35],[0,5,45],[0,6,100],[1,2,79],[1,3,11],[1,4,14],[1,6,44],[2,3,8],[2,6,15],[3,4,10],[3,6,36],[4,5,83],[5,6,61]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (3,4)\",\"Add (1,3)\",\"Add (2,6)\",\"Add (0,3)\",\"Add (0,5)\"],\"Answer\":114}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,59],[0,3,25],[0,4,35],[0,5,45],[0,6,100],[1,2,79],[1,3,11],[1,4,14],[1,6,44],[2,3,8],[2,6,15],[3,4,10],[3,6,36],[4,5,83],[5,6,61]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=8, w=8\",\"Add (3,4)=10, w=18\",\"Add (1,3)=11, w=29\",\"Add (2,6)=15, w=44\",\"Add (0,3)=25, w=69\",\"Add (0,5)=45, w=114\"],\"Answer\":114}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,59],[0,3,25],[0,4,35],[0,5,45],[0,6,100],[1,2,79],[1,3,11],[1,4,14],[1,6,44],[2,3,8],[2,6,15],[3,4,10],[3,6,36],[4,5,83],[5,6,61]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=8 Succeeded, w=8\",\"Add (3,4)=10 Succeeded, w=18\",\"Add (1,3)=11 Succeeded, w=29\",\"Add (1,4)=14 Failed, w=29\",\"Add (2,6)=15 Succeeded, w=44\",\"Add (0,3)=25 Succeeded, w=69\",\"Add (0,4)=35 Failed, w=69\",\"Add (3,6)=36 Failed, w=69\",\"Add (1,6)=44 Failed, w=69\",\"Add (0,5)=45 Succeeded, w=114\",\"Add (0,2)=59 Failed, w=114\",\"Add (5,6)=61 Failed, w=114\",\"Add (1,2)=79 Failed, w=114\",\"Add (4,5)=83 Failed, w=114\",\"Add (0,6)=100 Failed, w=114\"],\"Answer\":114}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,59],[0,3,25],[0,4,35],[0,5,45],[0,6,100],[1,2,79],[1,3,11],[1,4,14],[1,6,44],[2,3,8],[2,6,15],[3,4,10],[3,6,36],[4,5,83],[5,6,61]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=8,(3,4)=10,(1,3)=11,(1,4)=14,(2,6)=15,(0,3)=25,(0,4)=35,(3,6)=36,(1,6)=44,(0,5)=45,(0,2)=59,(5,6)=61,(1,2)=79,(4,5)=83,(0,6)=100]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Find(3)=2, Find(4)=4, Add (3,4)=10 Succeeded, w=18\",\"Find(1)=1, Find(3)=2, Add (1,3)=11 Succeeded, w=29\",\"Find(1)=2, Find(4)=2, Add (1,4)=14 Failed, w=29\",\"Find(2)=2, Find(6)=6, Add (2,6)=15 Succeeded, w=44\",\"Find(0)=0, Find(3)=2, Add (0,3)=25 Succeeded, w=69\",\"Find(0)=2, Find(4)=2, Add (0,4)=35 Failed, w=69\",\"Find(3)=2, Find(6)=2, Add (3,6)=36 Failed, w=69\",\"Find(1)=2, Find(6)=2, Add (1,6)=44 Failed, w=69\",\"Find(0)=2, Find(5)=5, Add (0,5)=45 Succeeded, w=114\",\"Find(0)=2, Find(2)=2, Add (0,2)=59 Failed, w=114\",\"Find(5)=2, Find(6)=2, Add (5,6)=61 Failed, w=114\",\"Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=114\",\"Find(4)=2, Find(5)=2, Add (4,5)=83 Failed, w=114\",\"Find(0)=2, Find(6)=2, Add (0,6)=100 Failed, w=114\"],\"Answer\":114}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,59],[0,3,25],[0,4,35],[0,5,45],[0,6,100],[1,2,79],[1,3,11],[1,4,14],[1,6,44],[2,3,8],[2,6,15],[3,4,10],[3,6,36],[4,5,83],[5,6,61]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=8,(3,4)=10,(1,3)=11,(1,4)=14,(2,6)=15,(0,3)=25,(0,4)=35,(3,6)=36,(1,6)=44,(0,5)=45,(0,2)=59,(5,6)=61,(1,2)=79,(4,5)=83,(0,6)=100]\",\"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)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(3)=2, Find(4)=4, Add (3,4)=10 Succeeded, w=18\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(1)=1, Find(3)=2, Add (1,3)=11 Succeeded, w=29\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(1)=2, Find(4)=2, Add (1,4)=14 Failed, w=29\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=15 Succeeded, w=44\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(0)=0, Find(3)=2, Add (0,3)=25 Succeeded, w=69\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=35 Failed, w=69\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=36 Failed, w=69\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=44 Failed, w=69\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=5, Add (0,5)=45 Succeeded, w=114\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=59 Failed, w=114\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=61 Failed, w=114\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=114\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=83 Failed, w=114\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=100 Failed, w=114\"],\"Answer\":114}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,76],[0,2,98],[0,3,78],[0,4,76],[0,5,62],[1,2,12],[1,3,87],[1,5,63],[1,6,89],[2,3,55],[2,4,99],[2,5,62],[2,7,65],[3,5,0],[3,6,95],[3,7,88],[4,6,39],[5,6,97],[5,7,29]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,98],[0,3,78],[0,4,76],[0,5,62],[1,2,12],[1,3,87],[1,5,63],[1,6,89],[2,3,55],[2,4,99],[2,5,62],[2,7,65],[3,5,0],[3,6,95],[3,7,88],[4,6,39],[5,6,97],[5,7,29]]}", "role": "user" }, { "content": "{\"Answer\":273}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,98],[0,3,78],[0,4,76],[0,5,62],[1,2,12],[1,3,87],[1,5,63],[1,6,89],[2,3,55],[2,4,99],[2,5,62],[2,7,65],[3,5,0],[3,6,95],[3,7,88],[4,6,39],[5,6,97],[5,7,29]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)\",\"Add (1,2)\",\"Add (5,7)\",\"Add (4,6)\",\"Add (2,3)\",\"Add (0,5)\",\"Add (0,4)\"],\"Answer\":273}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,98],[0,3,78],[0,4,76],[0,5,62],[1,2,12],[1,3,87],[1,5,63],[1,6,89],[2,3,55],[2,4,99],[2,5,62],[2,7,65],[3,5,0],[3,6,95],[3,7,88],[4,6,39],[5,6,97],[5,7,29]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=0, w=0\",\"Add (1,2)=12, w=12\",\"Add (5,7)=29, w=41\",\"Add (4,6)=39, w=80\",\"Add (2,3)=55, w=135\",\"Add (0,5)=62, w=197\",\"Add (0,4)=76, w=273\"],\"Answer\":273}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,98],[0,3,78],[0,4,76],[0,5,62],[1,2,12],[1,3,87],[1,5,63],[1,6,89],[2,3,55],[2,4,99],[2,5,62],[2,7,65],[3,5,0],[3,6,95],[3,7,88],[4,6,39],[5,6,97],[5,7,29]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=0 Succeeded, w=0\",\"Add (1,2)=12 Succeeded, w=12\",\"Add (5,7)=29 Succeeded, w=41\",\"Add (4,6)=39 Succeeded, w=80\",\"Add (2,3)=55 Succeeded, w=135\",\"Add (0,5)=62 Succeeded, w=197\",\"Add (2,5)=62 Failed, w=197\",\"Add (1,5)=63 Failed, w=197\",\"Add (2,7)=65 Failed, w=197\",\"Add (0,1)=76 Failed, w=197\",\"Add (0,4)=76 Succeeded, w=273\",\"Add (0,3)=78 Failed, w=273\",\"Add (1,3)=87 Failed, w=273\",\"Add (3,7)=88 Failed, w=273\",\"Add (1,6)=89 Failed, w=273\",\"Add (3,6)=95 Failed, w=273\",\"Add (5,6)=97 Failed, w=273\",\"Add (0,2)=98 Failed, w=273\",\"Add (2,4)=99 Failed, w=273\"],\"Answer\":273}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,98],[0,3,78],[0,4,76],[0,5,62],[1,2,12],[1,3,87],[1,5,63],[1,6,89],[2,3,55],[2,4,99],[2,5,62],[2,7,65],[3,5,0],[3,6,95],[3,7,88],[4,6,39],[5,6,97],[5,7,29]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=0,(1,2)=12,(5,7)=29,(4,6)=39,(2,3)=55,(0,5)=62,(2,5)=62,(1,5)=63,(2,7)=65,(0,1)=76,(0,4)=76,(0,3)=78,(1,3)=87,(3,7)=88,(1,6)=89,(3,6)=95,(5,6)=97,(0,2)=98,(2,4)=99]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=12\",\"Find(5)=3, Find(7)=7, Add (5,7)=29 Succeeded, w=41\",\"Find(4)=4, Find(6)=6, Add (4,6)=39 Succeeded, w=80\",\"Find(2)=1, Find(3)=3, Add (2,3)=55 Succeeded, w=135\",\"Find(0)=0, Find(5)=1, Add (0,5)=62 Succeeded, w=197\",\"Find(2)=1, Find(5)=1, Add (2,5)=62 Failed, w=197\",\"Find(1)=1, Find(5)=1, Add (1,5)=63 Failed, w=197\",\"Find(2)=1, Find(7)=1, Add (2,7)=65 Failed, w=197\",\"Find(0)=1, Find(1)=1, Add (0,1)=76 Failed, w=197\",\"Find(0)=1, Find(4)=4, Add (0,4)=76 Succeeded, w=273\",\"Find(0)=1, Find(3)=1, Add (0,3)=78 Failed, w=273\",\"Find(1)=1, Find(3)=1, Add (1,3)=87 Failed, w=273\",\"Find(3)=1, Find(7)=1, Add (3,7)=88 Failed, w=273\",\"Find(1)=1, Find(6)=1, Add (1,6)=89 Failed, w=273\",\"Find(3)=1, Find(6)=1, Add (3,6)=95 Failed, w=273\",\"Find(5)=1, Find(6)=1, Add (5,6)=97 Failed, w=273\",\"Find(0)=1, Find(2)=1, Add (0,2)=98 Failed, w=273\",\"Find(2)=1, Find(4)=1, Add (2,4)=99 Failed, w=273\"],\"Answer\":273}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,98],[0,3,78],[0,4,76],[0,5,62],[1,2,12],[1,3,87],[1,5,63],[1,6,89],[2,3,55],[2,4,99],[2,5,62],[2,7,65],[3,5,0],[3,6,95],[3,7,88],[4,6,39],[5,6,97],[5,7,29]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=0,(1,2)=12,(5,7)=29,(4,6)=39,(2,3)=55,(0,5)=62,(2,5)=62,(1,5)=63,(2,7)=65,(0,1)=76,(0,4)=76,(0,3)=78,(1,3)=87,(3,7)=88,(1,6)=89,(3,6)=95,(5,6)=97,(0,2)=98,(2,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3, 6: 6, 7: 3}, Find(5)=3, Find(7)=7, Add (5,7)=29 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3, 6: 4, 7: 3}, Find(4)=4, Find(6)=6, Add (4,6)=39 Succeeded, w=80\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 3, 6: 4, 7: 3}, Find(2)=1, Find(3)=3, Add (2,3)=55 Succeeded, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 4, 7: 3}, Find(0)=0, Find(5)=1, Add (0,5)=62 Succeeded, w=197\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 4, 7: 3}, Find(2)=1, Find(5)=1, Add (2,5)=62 Failed, w=197\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 4, 7: 3}, Find(1)=1, Find(5)=1, Add (1,5)=63 Failed, w=197\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 4, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=65 Failed, w=197\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 4, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=76 Failed, w=197\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4, 7: 1}, Find(0)=1, Find(4)=4, Add (0,4)=76 Succeeded, w=273\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=78 Failed, w=273\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4, 7: 1}, Find(1)=1, Find(3)=1, Add (1,3)=87 Failed, w=273\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=88 Failed, w=273\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=89 Failed, w=273\",\"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)=95 Failed, w=273\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=97 Failed, w=273\",\"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)=98 Failed, w=273\",\"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)=99 Failed, w=273\"],\"Answer\":273}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,72],[0,3,67],[1,2,86],[1,3,12]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,72],[0,3,67],[1,2,86],[1,3,12]]}", "role": "user" }, { "content": "{\"Answer\":151}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,72],[0,3,67],[1,2,86],[1,3,12]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"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],\"edges\":[[0,2,72],[0,3,67],[1,2,86],[1,3,12]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=12, w=12\",\"Add (0,3)=67, w=79\",\"Add (0,2)=72, w=151\"],\"Answer\":151}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,72],[0,3,67],[1,2,86],[1,3,12]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=12 Succeeded, w=12\",\"Add (0,3)=67 Succeeded, w=79\",\"Add (0,2)=72 Succeeded, w=151\",\"Add (1,2)=86 Failed, w=151\"],\"Answer\":151}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,72],[0,3,67],[1,2,86],[1,3,12]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=12,(0,3)=67,(0,2)=72,(1,2)=86]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=12\",\"Find(0)=0, Find(3)=1, Add (0,3)=67 Succeeded, w=79\",\"Find(0)=1, Find(2)=2, Add (0,2)=72 Succeeded, w=151\",\"Find(1)=1, Find(2)=1, Add (1,2)=86 Failed, w=151\"],\"Answer\":151}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,72],[0,3,67],[1,2,86],[1,3,12]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=12,(0,3)=67,(0,2)=72,(1,2)=86]\",\"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: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=67 Succeeded, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=2, Add (0,2)=72 Succeeded, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=86 Failed, w=151\"],\"Answer\":151}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,83],[0,2,26],[1,2,51],[1,3,37],[2,3,36]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,26],[1,2,51],[1,3,37],[2,3,36]]}", "role": "user" }, { "content": "{\"Answer\":99}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,26],[1,2,51],[1,3,37],[2,3,36]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":99}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,26],[1,2,51],[1,3,37],[2,3,36]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=26, w=26\",\"Add (2,3)=36, w=62\",\"Add (1,3)=37, w=99\"],\"Answer\":99}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,26],[1,2,51],[1,3,37],[2,3,36]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=26 Succeeded, w=26\",\"Add (2,3)=36 Succeeded, w=62\",\"Add (1,3)=37 Succeeded, w=99\",\"Add (1,2)=51 Failed, w=99\",\"Add (0,1)=83 Failed, w=99\"],\"Answer\":99}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,26],[1,2,51],[1,3,37],[2,3,36]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=26,(2,3)=36,(1,3)=37,(1,2)=51,(0,1)=83]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=26\",\"Find(2)=0, Find(3)=3, Add (2,3)=36 Succeeded, w=62\",\"Find(1)=1, Find(3)=0, Add (1,3)=37 Succeeded, w=99\",\"Find(1)=0, Find(2)=0, Add (1,2)=51 Failed, w=99\",\"Find(0)=0, Find(1)=0, Add (0,1)=83 Failed, w=99\"],\"Answer\":99}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,26],[1,2,51],[1,3,37],[2,3,36]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=26,(2,3)=36,(1,3)=37,(1,2)=51,(0,1)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=36 Succeeded, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=37 Succeeded, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=51 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=83 Failed, w=99\"],\"Answer\":99}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,82],[0,4,32],[1,2,5],[1,3,72],[1,4,32],[2,3,80],[2,4,28],[3,4,72]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,82],[0,4,32],[1,2,5],[1,3,72],[1,4,32],[2,3,80],[2,4,28],[3,4,72]]}", "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\":[[0,3,82],[0,4,32],[1,2,5],[1,3,72],[1,4,32],[2,3,80],[2,4,28],[3,4,72]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (2,4)\",\"Add (0,4)\",\"Add (1,3)\"],\"Answer\":137}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,82],[0,4,32],[1,2,5],[1,3,72],[1,4,32],[2,3,80],[2,4,28],[3,4,72]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=5, w=5\",\"Add (2,4)=28, w=33\",\"Add (0,4)=32, w=65\",\"Add (1,3)=72, w=137\"],\"Answer\":137}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,82],[0,4,32],[1,2,5],[1,3,72],[1,4,32],[2,3,80],[2,4,28],[3,4,72]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=5 Succeeded, w=5\",\"Add (2,4)=28 Succeeded, w=33\",\"Add (0,4)=32 Succeeded, w=65\",\"Add (1,4)=32 Failed, w=65\",\"Add (1,3)=72 Succeeded, w=137\",\"Add (3,4)=72 Failed, w=137\",\"Add (2,3)=80 Failed, w=137\",\"Add (0,3)=82 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\":[[0,3,82],[0,4,32],[1,2,5],[1,3,72],[1,4,32],[2,3,80],[2,4,28],[3,4,72]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=5,(2,4)=28,(0,4)=32,(1,4)=32,(1,3)=72,(3,4)=72,(2,3)=80,(0,3)=82]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Find(2)=1, Find(4)=4, Add (2,4)=28 Succeeded, w=33\",\"Find(0)=0, Find(4)=1, Add (0,4)=32 Succeeded, w=65\",\"Find(1)=1, Find(4)=1, Add (1,4)=32 Failed, w=65\",\"Find(1)=1, Find(3)=3, Add (1,3)=72 Succeeded, w=137\",\"Find(3)=1, Find(4)=1, Add (3,4)=72 Failed, w=137\",\"Find(2)=1, Find(3)=1, Add (2,3)=80 Failed, w=137\",\"Find(0)=1, Find(3)=1, Add (0,3)=82 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\":[[0,3,82],[0,4,32],[1,2,5],[1,3,72],[1,4,32],[2,3,80],[2,4,28],[3,4,72]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=5,(2,4)=28,(0,4)=32,(1,4)=32,(1,3)=72,(3,4)=72,(2,3)=80,(0,3)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=28 Succeeded, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=32 Succeeded, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=32 Failed, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=3, Add (1,3)=72 Succeeded, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=72 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=80 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=82 Failed, w=137\"],\"Answer\":137}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,6],[0,3,90],[1,3,47],[1,4,61],[3,4,2]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,3,90],[1,3,47],[1,4,61],[3,4,2]]}", "role": "user" }, { "content": "{\"Answer\":55}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,3,90],[1,3,47],[1,4,61],[3,4,2]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":55}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,3,90],[1,3,47],[1,4,61],[3,4,2]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=2, w=2\",\"Add (0,1)=6, w=8\",\"Add (1,3)=47, w=55\"],\"Answer\":55}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,3,90],[1,3,47],[1,4,61],[3,4,2]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=2 Succeeded, w=2\",\"Add (0,1)=6 Succeeded, w=8\",\"Add (1,3)=47 Succeeded, w=55\",\"Add (1,4)=61 Failed, w=55\",\"Add (0,3)=90 Failed, w=55\"],\"Answer\":55}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,3,90],[1,3,47],[1,4,61],[3,4,2]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=2,(0,1)=6,(1,3)=47,(1,4)=61,(0,3)=90]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=8\",\"Find(1)=0, Find(3)=3, Add (1,3)=47 Succeeded, w=55\",\"Find(1)=0, Find(4)=0, Add (1,4)=61 Failed, w=55\",\"Find(0)=0, Find(3)=0, Add (0,3)=90 Failed, w=55\"],\"Answer\":55}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,3,90],[1,3,47],[1,4,61],[3,4,2]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=2,(0,1)=6,(1,3)=47,(1,4)=61,(0,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3}, Find(1)=0, Find(3)=3, Add (1,3)=47 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=61 Failed, w=55\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=90 Failed, w=55\"],\"Answer\":55}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,58],[0,2,28],[0,3,66],[0,4,5],[0,5,43],[0,6,80],[1,2,24],[1,3,43],[1,4,28],[1,5,44],[1,6,39],[2,3,32],[2,4,24],[2,6,81],[2,7,95],[3,4,53],[3,5,92],[3,6,13],[3,7,13],[4,5,2],[4,6,32],[4,7,88],[5,7,11],[6,7,13]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,28],[0,3,66],[0,4,5],[0,5,43],[0,6,80],[1,2,24],[1,3,43],[1,4,28],[1,5,44],[1,6,39],[2,3,32],[2,4,24],[2,6,81],[2,7,95],[3,4,53],[3,5,92],[3,6,13],[3,7,13],[4,5,2],[4,6,32],[4,7,88],[5,7,11],[6,7,13]]}", "role": "user" }, { "content": "{\"Answer\":92}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,28],[0,3,66],[0,4,5],[0,5,43],[0,6,80],[1,2,24],[1,3,43],[1,4,28],[1,5,44],[1,6,39],[2,3,32],[2,4,24],[2,6,81],[2,7,95],[3,4,53],[3,5,92],[3,6,13],[3,7,13],[4,5,2],[4,6,32],[4,7,88],[5,7,11],[6,7,13]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,5)\",\"Add (0,4)\",\"Add (5,7)\",\"Add (3,6)\",\"Add (3,7)\",\"Add (1,2)\",\"Add (2,4)\"],\"Answer\":92}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,28],[0,3,66],[0,4,5],[0,5,43],[0,6,80],[1,2,24],[1,3,43],[1,4,28],[1,5,44],[1,6,39],[2,3,32],[2,4,24],[2,6,81],[2,7,95],[3,4,53],[3,5,92],[3,6,13],[3,7,13],[4,5,2],[4,6,32],[4,7,88],[5,7,11],[6,7,13]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,5)=2, w=2\",\"Add (0,4)=5, w=7\",\"Add (5,7)=11, w=18\",\"Add (3,6)=13, w=31\",\"Add (3,7)=13, w=44\",\"Add (1,2)=24, w=68\",\"Add (2,4)=24, w=92\"],\"Answer\":92}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,28],[0,3,66],[0,4,5],[0,5,43],[0,6,80],[1,2,24],[1,3,43],[1,4,28],[1,5,44],[1,6,39],[2,3,32],[2,4,24],[2,6,81],[2,7,95],[3,4,53],[3,5,92],[3,6,13],[3,7,13],[4,5,2],[4,6,32],[4,7,88],[5,7,11],[6,7,13]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,5)=2 Succeeded, w=2\",\"Add (0,4)=5 Succeeded, w=7\",\"Add (5,7)=11 Succeeded, w=18\",\"Add (3,6)=13 Succeeded, w=31\",\"Add (3,7)=13 Succeeded, w=44\",\"Add (6,7)=13 Failed, w=44\",\"Add (1,2)=24 Succeeded, w=68\",\"Add (2,4)=24 Succeeded, w=92\",\"Add (0,2)=28 Failed, w=92\",\"Add (1,4)=28 Failed, w=92\",\"Add (2,3)=32 Failed, w=92\",\"Add (4,6)=32 Failed, w=92\",\"Add (1,6)=39 Failed, w=92\",\"Add (0,5)=43 Failed, w=92\",\"Add (1,3)=43 Failed, w=92\",\"Add (1,5)=44 Failed, w=92\",\"Add (3,4)=53 Failed, w=92\",\"Add (0,1)=58 Failed, w=92\",\"Add (0,3)=66 Failed, w=92\",\"Add (0,6)=80 Failed, w=92\",\"Add (2,6)=81 Failed, w=92\",\"Add (4,7)=88 Failed, w=92\",\"Add (3,5)=92 Failed, w=92\",\"Add (2,7)=95 Failed, w=92\"],\"Answer\":92}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,28],[0,3,66],[0,4,5],[0,5,43],[0,6,80],[1,2,24],[1,3,43],[1,4,28],[1,5,44],[1,6,39],[2,3,32],[2,4,24],[2,6,81],[2,7,95],[3,4,53],[3,5,92],[3,6,13],[3,7,13],[4,5,2],[4,6,32],[4,7,88],[5,7,11],[6,7,13]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(4,5)=2,(0,4)=5,(5,7)=11,(3,6)=13,(3,7)=13,(6,7)=13,(1,2)=24,(2,4)=24,(0,2)=28,(1,4)=28,(2,3)=32,(4,6)=32,(1,6)=39,(0,5)=43,(1,3)=43,(1,5)=44,(3,4)=53,(0,1)=58,(0,3)=66,(0,6)=80,(2,6)=81,(4,7)=88,(3,5)=92,(2,7)=95]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=7\",\"Find(5)=4, Find(7)=7, Add (5,7)=11 Succeeded, w=18\",\"Find(3)=3, Find(6)=6, Add (3,6)=13 Succeeded, w=31\",\"Find(3)=3, Find(7)=4, Add (3,7)=13 Succeeded, w=44\",\"Find(6)=3, Find(7)=3, Add (6,7)=13 Failed, w=44\",\"Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=68\",\"Find(2)=1, Find(4)=3, Add (2,4)=24 Succeeded, w=92\",\"Find(0)=3, Find(2)=3, Add (0,2)=28 Failed, w=92\",\"Find(1)=3, Find(4)=3, Add (1,4)=28 Failed, w=92\",\"Find(2)=3, Find(3)=3, Add (2,3)=32 Failed, w=92\",\"Find(4)=3, Find(6)=3, Add (4,6)=32 Failed, w=92\",\"Find(1)=3, Find(6)=3, Add (1,6)=39 Failed, w=92\",\"Find(0)=3, Find(5)=3, Add (0,5)=43 Failed, w=92\",\"Find(1)=3, Find(3)=3, Add (1,3)=43 Failed, w=92\",\"Find(1)=3, Find(5)=3, Add (1,5)=44 Failed, w=92\",\"Find(3)=3, Find(4)=3, Add (3,4)=53 Failed, w=92\",\"Find(0)=3, Find(1)=3, Add (0,1)=58 Failed, w=92\",\"Find(0)=3, Find(3)=3, Add (0,3)=66 Failed, w=92\",\"Find(0)=3, Find(6)=3, Add (0,6)=80 Failed, w=92\",\"Find(2)=3, Find(6)=3, Add (2,6)=81 Failed, w=92\",\"Find(4)=3, Find(7)=3, Add (4,7)=88 Failed, w=92\",\"Find(3)=3, Find(5)=3, Add (3,5)=92 Failed, w=92\",\"Find(2)=3, Find(7)=3, Add (2,7)=95 Failed, w=92\"],\"Answer\":92}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,28],[0,3,66],[0,4,5],[0,5,43],[0,6,80],[1,2,24],[1,3,43],[1,4,28],[1,5,44],[1,6,39],[2,3,32],[2,4,24],[2,6,81],[2,7,95],[3,4,53],[3,5,92],[3,6,13],[3,7,13],[4,5,2],[4,6,32],[4,7,88],[5,7,11],[6,7,13]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(4,5)=2,(0,4)=5,(5,7)=11,(3,6)=13,(3,7)=13,(6,7)=13,(1,2)=24,(2,4)=24,(0,2)=28,(1,4)=28,(2,3)=32,(4,6)=32,(1,6)=39,(0,5)=43,(1,3)=43,(1,5)=44,(3,4)=53,(0,1)=58,(0,3)=66,(0,6)=80,(2,6)=81,(4,7)=88,(3,5)=92,(2,7)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=7\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 4}, Find(5)=4, Find(7)=7, Add (5,7)=11 Succeeded, w=18\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 3, 7: 4}, Find(3)=3, Find(6)=6, Add (3,6)=13 Succeeded, w=31\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 3, 5: 4, 6: 3, 7: 4}, Find(3)=3, Find(7)=4, Add (3,7)=13 Succeeded, w=44\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 3, 5: 4, 6: 3, 7: 3}, Find(6)=3, Find(7)=3, Add (6,7)=13 Failed, w=44\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 3, 4: 3, 5: 4, 6: 3, 7: 3}, Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=68\",\"Parent: {0: 4, 1: 3, 2: 1, 3: 3, 4: 3, 5: 4, 6: 3, 7: 3}, Find(2)=1, Find(4)=3, Add (2,4)=24 Succeeded, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 3}, Find(0)=3, Find(2)=3, Add (0,2)=28 Failed, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=28 Failed, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=32 Failed, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=32 Failed, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 3}, Find(1)=3, Find(6)=3, Add (1,6)=39 Failed, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(5)=3, Add (0,5)=43 Failed, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=43 Failed, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=44 Failed, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(4)=3, Add (3,4)=53 Failed, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(1)=3, Add (0,1)=58 Failed, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=66 Failed, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=80 Failed, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(6)=3, Add (2,6)=81 Failed, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=88 Failed, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(5)=3, Add (3,5)=92 Failed, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=95 Failed, w=92\"],\"Answer\":92}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,5],[0,2,85],[0,3,45],[1,2,6],[1,3,69]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,85],[0,3,45],[1,2,6],[1,3,69]]}", "role": "user" }, { "content": "{\"Answer\":56}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,85],[0,3,45],[1,2,6],[1,3,69]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":56}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,85],[0,3,45],[1,2,6],[1,3,69]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=5, w=5\",\"Add (1,2)=6, w=11\",\"Add (0,3)=45, w=56\"],\"Answer\":56}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,85],[0,3,45],[1,2,6],[1,3,69]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=5 Succeeded, w=5\",\"Add (1,2)=6 Succeeded, w=11\",\"Add (0,3)=45 Succeeded, w=56\",\"Add (1,3)=69 Failed, w=56\",\"Add (0,2)=85 Failed, w=56\"],\"Answer\":56}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,85],[0,3,45],[1,2,6],[1,3,69]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=5,(1,2)=6,(0,3)=45,(1,3)=69,(0,2)=85]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Find(1)=0, Find(2)=2, Add (1,2)=6 Succeeded, w=11\",\"Find(0)=0, Find(3)=3, Add (0,3)=45 Succeeded, w=56\",\"Find(1)=0, Find(3)=0, Add (1,3)=69 Failed, w=56\",\"Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=56\"],\"Answer\":56}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,85],[0,3,45],[1,2,6],[1,3,69]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=5,(1,2)=6,(0,3)=45,(1,3)=69,(0,2)=85]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=2, Add (1,2)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=45 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=69 Failed, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=56\"],\"Answer\":56}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,29],[0,2,97],[0,3,82],[0,4,100],[1,2,52],[1,3,58],[2,3,76],[2,4,92],[3,4,35]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,97],[0,3,82],[0,4,100],[1,2,52],[1,3,58],[2,3,76],[2,4,92],[3,4,35]]}", "role": "user" }, { "content": "{\"Answer\":174}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,97],[0,3,82],[0,4,100],[1,2,52],[1,3,58],[2,3,76],[2,4,92],[3,4,35]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":174}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,97],[0,3,82],[0,4,100],[1,2,52],[1,3,58],[2,3,76],[2,4,92],[3,4,35]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=29, w=29\",\"Add (3,4)=35, w=64\",\"Add (1,2)=52, w=116\",\"Add (1,3)=58, w=174\"],\"Answer\":174}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,97],[0,3,82],[0,4,100],[1,2,52],[1,3,58],[2,3,76],[2,4,92],[3,4,35]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=29 Succeeded, w=29\",\"Add (3,4)=35 Succeeded, w=64\",\"Add (1,2)=52 Succeeded, w=116\",\"Add (1,3)=58 Succeeded, w=174\",\"Add (2,3)=76 Failed, w=174\",\"Add (0,3)=82 Failed, w=174\",\"Add (2,4)=92 Failed, w=174\",\"Add (0,2)=97 Failed, w=174\",\"Add (0,4)=100 Failed, w=174\"],\"Answer\":174}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,97],[0,3,82],[0,4,100],[1,2,52],[1,3,58],[2,3,76],[2,4,92],[3,4,35]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=29,(3,4)=35,(1,2)=52,(1,3)=58,(2,3)=76,(0,3)=82,(2,4)=92,(0,2)=97,(0,4)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=29\",\"Find(3)=3, Find(4)=4, Add (3,4)=35 Succeeded, w=64\",\"Find(1)=0, Find(2)=2, Add (1,2)=52 Succeeded, w=116\",\"Find(1)=0, Find(3)=3, Add (1,3)=58 Succeeded, w=174\",\"Find(2)=0, Find(3)=0, Add (2,3)=76 Failed, w=174\",\"Find(0)=0, Find(3)=0, Add (0,3)=82 Failed, w=174\",\"Find(2)=0, Find(4)=0, Add (2,4)=92 Failed, w=174\",\"Find(0)=0, Find(2)=0, Add (0,2)=97 Failed, w=174\",\"Find(0)=0, Find(4)=0, Add (0,4)=100 Failed, w=174\"],\"Answer\":174}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,97],[0,3,82],[0,4,100],[1,2,52],[1,3,58],[2,3,76],[2,4,92],[3,4,35]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=29,(3,4)=35,(1,2)=52,(1,3)=58,(2,3)=76,(0,3)=82,(2,4)=92,(0,2)=97,(0,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=35 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3}, Find(1)=0, Find(2)=2, Add (1,2)=52 Succeeded, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=0, Find(3)=3, Add (1,3)=58 Succeeded, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(3)=0, Add (2,3)=76 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(3)=0, Add (0,3)=82 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=92 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=97 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=100 Failed, w=174\"],\"Answer\":174}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,71],[0,3,34],[0,4,39],[0,5,72],[0,6,65],[0,7,85],[1,2,65],[1,3,70],[1,5,73],[1,6,35],[1,7,26],[2,5,33],[2,6,54],[2,7,36],[3,4,26],[3,5,2],[3,7,25],[4,6,21],[4,7,19],[5,6,46],[5,7,69]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,3,34],[0,4,39],[0,5,72],[0,6,65],[0,7,85],[1,2,65],[1,3,70],[1,5,73],[1,6,35],[1,7,26],[2,5,33],[2,6,54],[2,7,36],[3,4,26],[3,5,2],[3,7,25],[4,6,21],[4,7,19],[5,6,46],[5,7,69]]}", "role": "user" }, { "content": "{\"Answer\":160}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,3,34],[0,4,39],[0,5,72],[0,6,65],[0,7,85],[1,2,65],[1,3,70],[1,5,73],[1,6,35],[1,7,26],[2,5,33],[2,6,54],[2,7,36],[3,4,26],[3,5,2],[3,7,25],[4,6,21],[4,7,19],[5,6,46],[5,7,69]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)\",\"Add (4,7)\",\"Add (4,6)\",\"Add (3,7)\",\"Add (1,7)\",\"Add (2,5)\",\"Add (0,3)\"],\"Answer\":160}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,3,34],[0,4,39],[0,5,72],[0,6,65],[0,7,85],[1,2,65],[1,3,70],[1,5,73],[1,6,35],[1,7,26],[2,5,33],[2,6,54],[2,7,36],[3,4,26],[3,5,2],[3,7,25],[4,6,21],[4,7,19],[5,6,46],[5,7,69]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=2, w=2\",\"Add (4,7)=19, w=21\",\"Add (4,6)=21, w=42\",\"Add (3,7)=25, w=67\",\"Add (1,7)=26, w=93\",\"Add (2,5)=33, w=126\",\"Add (0,3)=34, w=160\"],\"Answer\":160}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,3,34],[0,4,39],[0,5,72],[0,6,65],[0,7,85],[1,2,65],[1,3,70],[1,5,73],[1,6,35],[1,7,26],[2,5,33],[2,6,54],[2,7,36],[3,4,26],[3,5,2],[3,7,25],[4,6,21],[4,7,19],[5,6,46],[5,7,69]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=2 Succeeded, w=2\",\"Add (4,7)=19 Succeeded, w=21\",\"Add (4,6)=21 Succeeded, w=42\",\"Add (3,7)=25 Succeeded, w=67\",\"Add (1,7)=26 Succeeded, w=93\",\"Add (3,4)=26 Failed, w=93\",\"Add (2,5)=33 Succeeded, w=126\",\"Add (0,3)=34 Succeeded, w=160\",\"Add (1,6)=35 Failed, w=160\",\"Add (2,7)=36 Failed, w=160\",\"Add (0,4)=39 Failed, w=160\",\"Add (5,6)=46 Failed, w=160\",\"Add (2,6)=54 Failed, w=160\",\"Add (0,6)=65 Failed, w=160\",\"Add (1,2)=65 Failed, w=160\",\"Add (5,7)=69 Failed, w=160\",\"Add (1,3)=70 Failed, w=160\",\"Add (0,1)=71 Failed, w=160\",\"Add (0,5)=72 Failed, w=160\",\"Add (1,5)=73 Failed, w=160\",\"Add (0,7)=85 Failed, w=160\"],\"Answer\":160}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,3,34],[0,4,39],[0,5,72],[0,6,65],[0,7,85],[1,2,65],[1,3,70],[1,5,73],[1,6,35],[1,7,26],[2,5,33],[2,6,54],[2,7,36],[3,4,26],[3,5,2],[3,7,25],[4,6,21],[4,7,19],[5,6,46],[5,7,69]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=2,(4,7)=19,(4,6)=21,(3,7)=25,(1,7)=26,(3,4)=26,(2,5)=33,(0,3)=34,(1,6)=35,(2,7)=36,(0,4)=39,(5,6)=46,(2,6)=54,(0,6)=65,(1,2)=65,(5,7)=69,(1,3)=70,(0,1)=71,(0,5)=72,(1,5)=73,(0,7)=85]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=2\",\"Find(4)=4, Find(7)=7, Add (4,7)=19 Succeeded, w=21\",\"Find(4)=4, Find(6)=6, Add (4,6)=21 Succeeded, w=42\",\"Find(3)=3, Find(7)=4, Add (3,7)=25 Succeeded, w=67\",\"Find(1)=1, Find(7)=3, Add (1,7)=26 Succeeded, w=93\",\"Find(3)=3, Find(4)=3, Add (3,4)=26 Failed, w=93\",\"Find(2)=2, Find(5)=3, Add (2,5)=33 Succeeded, w=126\",\"Find(0)=0, Find(3)=3, Add (0,3)=34 Succeeded, w=160\",\"Find(1)=3, Find(6)=3, Add (1,6)=35 Failed, w=160\",\"Find(2)=3, Find(7)=3, Add (2,7)=36 Failed, w=160\",\"Find(0)=3, Find(4)=3, Add (0,4)=39 Failed, w=160\",\"Find(5)=3, Find(6)=3, Add (5,6)=46 Failed, w=160\",\"Find(2)=3, Find(6)=3, Add (2,6)=54 Failed, w=160\",\"Find(0)=3, Find(6)=3, Add (0,6)=65 Failed, w=160\",\"Find(1)=3, Find(2)=3, Add (1,2)=65 Failed, w=160\",\"Find(5)=3, Find(7)=3, Add (5,7)=69 Failed, w=160\",\"Find(1)=3, Find(3)=3, Add (1,3)=70 Failed, w=160\",\"Find(0)=3, Find(1)=3, Add (0,1)=71 Failed, w=160\",\"Find(0)=3, Find(5)=3, Add (0,5)=72 Failed, w=160\",\"Find(1)=3, Find(5)=3, Add (1,5)=73 Failed, w=160\",\"Find(0)=3, Find(7)=3, Add (0,7)=85 Failed, w=160\"],\"Answer\":160}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,3,34],[0,4,39],[0,5,72],[0,6,65],[0,7,85],[1,2,65],[1,3,70],[1,5,73],[1,6,35],[1,7,26],[2,5,33],[2,6,54],[2,7,36],[3,4,26],[3,5,2],[3,7,25],[4,6,21],[4,7,19],[5,6,46],[5,7,69]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=2,(4,7)=19,(4,6)=21,(3,7)=25,(1,7)=26,(3,4)=26,(2,5)=33,(0,3)=34,(1,6)=35,(2,7)=36,(0,4)=39,(5,6)=46,(2,6)=54,(0,6)=65,(1,2)=65,(5,7)=69,(1,3)=70,(0,1)=71,(0,5)=72,(1,5)=73,(0,7)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=19 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 4, 7: 4}, Find(4)=4, Find(6)=6, Add (4,6)=21 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 4, 7: 4}, Find(3)=3, Find(7)=4, Add (3,7)=25 Succeeded, w=67\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 4, 7: 3}, Find(1)=1, Find(7)=3, Add (1,7)=26 Succeeded, w=93\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 4, 7: 3}, Find(3)=3, Find(4)=3, Add (3,4)=26 Failed, w=93\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 4, 7: 3}, Find(2)=2, Find(5)=3, Add (2,5)=33 Succeeded, w=126\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 4, 7: 3}, Find(0)=0, Find(3)=3, Add (0,3)=34 Succeeded, w=160\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(6)=3, Add (1,6)=35 Failed, w=160\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=36 Failed, w=160\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=39 Failed, w=160\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=3, Add (5,6)=46 Failed, w=160\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(6)=3, Add (2,6)=54 Failed, w=160\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=65 Failed, w=160\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=65 Failed, w=160\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=69 Failed, w=160\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=70 Failed, w=160\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(1)=3, Add (0,1)=71 Failed, w=160\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(5)=3, Add (0,5)=72 Failed, w=160\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=73 Failed, w=160\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(7)=3, Add (0,7)=85 Failed, w=160\"],\"Answer\":160}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,3],[0,2,74],[0,3,21],[0,4,30],[0,6,22],[1,2,100],[1,3,77],[1,4,5],[1,5,54],[1,6,83],[2,3,32],[2,5,57],[2,6,63],[3,4,100],[3,5,15],[3,6,26],[4,5,38],[4,6,5],[5,6,0]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,74],[0,3,21],[0,4,30],[0,6,22],[1,2,100],[1,3,77],[1,4,5],[1,5,54],[1,6,83],[2,3,32],[2,5,57],[2,6,63],[3,4,100],[3,5,15],[3,6,26],[4,5,38],[4,6,5],[5,6,0]]}", "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],\"edges\":[[0,1,3],[0,2,74],[0,3,21],[0,4,30],[0,6,22],[1,2,100],[1,3,77],[1,4,5],[1,5,54],[1,6,83],[2,3,32],[2,5,57],[2,6,63],[3,4,100],[3,5,15],[3,6,26],[4,5,38],[4,6,5],[5,6,0]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)\",\"Add (0,1)\",\"Add (1,4)\",\"Add (4,6)\",\"Add (3,5)\",\"Add (2,3)\"],\"Answer\":60}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,74],[0,3,21],[0,4,30],[0,6,22],[1,2,100],[1,3,77],[1,4,5],[1,5,54],[1,6,83],[2,3,32],[2,5,57],[2,6,63],[3,4,100],[3,5,15],[3,6,26],[4,5,38],[4,6,5],[5,6,0]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)=0, w=0\",\"Add (0,1)=3, w=3\",\"Add (1,4)=5, w=8\",\"Add (4,6)=5, w=13\",\"Add (3,5)=15, w=28\",\"Add (2,3)=32, 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],\"edges\":[[0,1,3],[0,2,74],[0,3,21],[0,4,30],[0,6,22],[1,2,100],[1,3,77],[1,4,5],[1,5,54],[1,6,83],[2,3,32],[2,5,57],[2,6,63],[3,4,100],[3,5,15],[3,6,26],[4,5,38],[4,6,5],[5,6,0]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)=0 Succeeded, w=0\",\"Add (0,1)=3 Succeeded, w=3\",\"Add (1,4)=5 Succeeded, w=8\",\"Add (4,6)=5 Succeeded, w=13\",\"Add (3,5)=15 Succeeded, w=28\",\"Add (0,3)=21 Failed, w=28\",\"Add (0,6)=22 Failed, w=28\",\"Add (3,6)=26 Failed, w=28\",\"Add (0,4)=30 Failed, w=28\",\"Add (2,3)=32 Succeeded, w=60\",\"Add (4,5)=38 Failed, w=60\",\"Add (1,5)=54 Failed, w=60\",\"Add (2,5)=57 Failed, w=60\",\"Add (2,6)=63 Failed, w=60\",\"Add (0,2)=74 Failed, w=60\",\"Add (1,3)=77 Failed, w=60\",\"Add (1,6)=83 Failed, w=60\",\"Add (1,2)=100 Failed, w=60\",\"Add (3,4)=100 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],\"edges\":[[0,1,3],[0,2,74],[0,3,21],[0,4,30],[0,6,22],[1,2,100],[1,3,77],[1,4,5],[1,5,54],[1,6,83],[2,3,32],[2,5,57],[2,6,63],[3,4,100],[3,5,15],[3,6,26],[4,5,38],[4,6,5],[5,6,0]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(5,6)=0,(0,1)=3,(1,4)=5,(4,6)=5,(3,5)=15,(0,3)=21,(0,6)=22,(3,6)=26,(0,4)=30,(2,3)=32,(4,5)=38,(1,5)=54,(2,5)=57,(2,6)=63,(0,2)=74,(1,3)=77,(1,6)=83,(1,2)=100,(3,4)=100]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=0 Succeeded, w=0\",\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(1)=0, Find(4)=4, Add (1,4)=5 Succeeded, w=8\",\"Find(4)=0, Find(6)=5, Add (4,6)=5 Succeeded, w=13\",\"Find(3)=3, Find(5)=0, Add (3,5)=15 Succeeded, w=28\",\"Find(0)=0, Find(3)=0, Add (0,3)=21 Failed, w=28\",\"Find(0)=0, Find(6)=0, Add (0,6)=22 Failed, w=28\",\"Find(3)=0, Find(6)=0, Add (3,6)=26 Failed, w=28\",\"Find(0)=0, Find(4)=0, Add (0,4)=30 Failed, w=28\",\"Find(2)=2, Find(3)=0, Add (2,3)=32 Succeeded, w=60\",\"Find(4)=0, Find(5)=0, Add (4,5)=38 Failed, w=60\",\"Find(1)=0, Find(5)=0, Add (1,5)=54 Failed, w=60\",\"Find(2)=0, Find(5)=0, Add (2,5)=57 Failed, w=60\",\"Find(2)=0, Find(6)=0, Add (2,6)=63 Failed, w=60\",\"Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=60\",\"Find(1)=0, Find(3)=0, Add (1,3)=77 Failed, w=60\",\"Find(1)=0, Find(6)=0, Add (1,6)=83 Failed, w=60\",\"Find(1)=0, Find(2)=0, Add (1,2)=100 Failed, w=60\",\"Find(3)=0, Find(4)=0, Add (3,4)=100 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],\"edges\":[[0,1,3],[0,2,74],[0,3,21],[0,4,30],[0,6,22],[1,2,100],[1,3,77],[1,4,5],[1,5,54],[1,6,83],[2,3,32],[2,5,57],[2,6,63],[3,4,100],[3,5,15],[3,6,26],[4,5,38],[4,6,5],[5,6,0]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(5,6)=0,(0,1)=3,(1,4)=5,(4,6)=5,(3,5)=15,(0,3)=21,(0,6)=22,(3,6)=26,(0,4)=30,(2,3)=32,(4,5)=38,(1,5)=54,(2,5)=57,(2,6)=63,(0,2)=74,(1,3)=77,(1,6)=83,(1,2)=100,(3,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 5}, Find(1)=0, Find(4)=4, Add (1,4)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 5}, Find(4)=0, Find(6)=5, Add (4,6)=5 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 5}, Find(3)=3, Find(5)=0, Add (3,5)=15 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 5}, Find(0)=0, Find(3)=0, Add (0,3)=21 Failed, w=28\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=22 Failed, w=28\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=26 Failed, w=28\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=30 Failed, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=2, Find(3)=0, Add (2,3)=32 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=38 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=54 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=57 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=63 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=77 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=83 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=100 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=100 Failed, w=60\"],\"Answer\":60}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,90],[0,2,76],[0,4,82],[0,5,50],[0,6,22],[0,7,98],[1,2,42],[1,3,7],[1,4,12],[1,5,78],[1,6,43],[1,7,51],[2,3,92],[2,4,21],[2,5,83],[2,6,85],[3,4,65],[3,5,10],[3,6,10],[3,7,45],[4,5,33],[4,6,54],[4,7,25],[5,6,32],[6,7,5]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,90],[0,2,76],[0,4,82],[0,5,50],[0,6,22],[0,7,98],[1,2,42],[1,3,7],[1,4,12],[1,5,78],[1,6,43],[1,7,51],[2,3,92],[2,4,21],[2,5,83],[2,6,85],[3,4,65],[3,5,10],[3,6,10],[3,7,45],[4,5,33],[4,6,54],[4,7,25],[5,6,32],[6,7,5]]}", "role": "user" }, { "content": "{\"Answer\":87}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,90],[0,2,76],[0,4,82],[0,5,50],[0,6,22],[0,7,98],[1,2,42],[1,3,7],[1,4,12],[1,5,78],[1,6,43],[1,7,51],[2,3,92],[2,4,21],[2,5,83],[2,6,85],[3,4,65],[3,5,10],[3,6,10],[3,7,45],[4,5,33],[4,6,54],[4,7,25],[5,6,32],[6,7,5]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (6,7)\",\"Add (1,3)\",\"Add (3,5)\",\"Add (3,6)\",\"Add (1,4)\",\"Add (2,4)\",\"Add (0,6)\"],\"Answer\":87}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,90],[0,2,76],[0,4,82],[0,5,50],[0,6,22],[0,7,98],[1,2,42],[1,3,7],[1,4,12],[1,5,78],[1,6,43],[1,7,51],[2,3,92],[2,4,21],[2,5,83],[2,6,85],[3,4,65],[3,5,10],[3,6,10],[3,7,45],[4,5,33],[4,6,54],[4,7,25],[5,6,32],[6,7,5]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (6,7)=5, w=5\",\"Add (1,3)=7, w=12\",\"Add (3,5)=10, w=22\",\"Add (3,6)=10, w=32\",\"Add (1,4)=12, w=44\",\"Add (2,4)=21, w=65\",\"Add (0,6)=22, w=87\"],\"Answer\":87}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,90],[0,2,76],[0,4,82],[0,5,50],[0,6,22],[0,7,98],[1,2,42],[1,3,7],[1,4,12],[1,5,78],[1,6,43],[1,7,51],[2,3,92],[2,4,21],[2,5,83],[2,6,85],[3,4,65],[3,5,10],[3,6,10],[3,7,45],[4,5,33],[4,6,54],[4,7,25],[5,6,32],[6,7,5]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (6,7)=5 Succeeded, w=5\",\"Add (1,3)=7 Succeeded, w=12\",\"Add (3,5)=10 Succeeded, w=22\",\"Add (3,6)=10 Succeeded, w=32\",\"Add (1,4)=12 Succeeded, w=44\",\"Add (2,4)=21 Succeeded, w=65\",\"Add (0,6)=22 Succeeded, w=87\",\"Add (4,7)=25 Failed, w=87\",\"Add (5,6)=32 Failed, w=87\",\"Add (4,5)=33 Failed, w=87\",\"Add (1,2)=42 Failed, w=87\",\"Add (1,6)=43 Failed, w=87\",\"Add (3,7)=45 Failed, w=87\",\"Add (0,5)=50 Failed, w=87\",\"Add (1,7)=51 Failed, w=87\",\"Add (4,6)=54 Failed, w=87\",\"Add (3,4)=65 Failed, w=87\",\"Add (0,2)=76 Failed, w=87\",\"Add (1,5)=78 Failed, w=87\",\"Add (0,4)=82 Failed, w=87\",\"Add (2,5)=83 Failed, w=87\",\"Add (2,6)=85 Failed, w=87\",\"Add (0,1)=90 Failed, w=87\",\"Add (2,3)=92 Failed, w=87\",\"Add (0,7)=98 Failed, w=87\"],\"Answer\":87}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,90],[0,2,76],[0,4,82],[0,5,50],[0,6,22],[0,7,98],[1,2,42],[1,3,7],[1,4,12],[1,5,78],[1,6,43],[1,7,51],[2,3,92],[2,4,21],[2,5,83],[2,6,85],[3,4,65],[3,5,10],[3,6,10],[3,7,45],[4,5,33],[4,6,54],[4,7,25],[5,6,32],[6,7,5]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(6,7)=5,(1,3)=7,(3,5)=10,(3,6)=10,(1,4)=12,(2,4)=21,(0,6)=22,(4,7)=25,(5,6)=32,(4,5)=33,(1,2)=42,(1,6)=43,(3,7)=45,(0,5)=50,(1,7)=51,(4,6)=54,(3,4)=65,(0,2)=76,(1,5)=78,(0,4)=82,(2,5)=83,(2,6)=85,(0,1)=90,(2,3)=92,(0,7)=98]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=5 Succeeded, w=5\",\"Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=12\",\"Find(3)=1, Find(5)=5, Add (3,5)=10 Succeeded, w=22\",\"Find(3)=1, Find(6)=6, Add (3,6)=10 Succeeded, w=32\",\"Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=44\",\"Find(2)=2, Find(4)=1, Add (2,4)=21 Succeeded, w=65\",\"Find(0)=0, Find(6)=1, Add (0,6)=22 Succeeded, w=87\",\"Find(4)=1, Find(7)=1, Add (4,7)=25 Failed, w=87\",\"Find(5)=1, Find(6)=1, Add (5,6)=32 Failed, w=87\",\"Find(4)=1, Find(5)=1, Add (4,5)=33 Failed, w=87\",\"Find(1)=1, Find(2)=1, Add (1,2)=42 Failed, w=87\",\"Find(1)=1, Find(6)=1, Add (1,6)=43 Failed, w=87\",\"Find(3)=1, Find(7)=1, Add (3,7)=45 Failed, w=87\",\"Find(0)=1, Find(5)=1, Add (0,5)=50 Failed, w=87\",\"Find(1)=1, Find(7)=1, Add (1,7)=51 Failed, w=87\",\"Find(4)=1, Find(6)=1, Add (4,6)=54 Failed, w=87\",\"Find(3)=1, Find(4)=1, Add (3,4)=65 Failed, w=87\",\"Find(0)=1, Find(2)=1, Add (0,2)=76 Failed, w=87\",\"Find(1)=1, Find(5)=1, Add (1,5)=78 Failed, w=87\",\"Find(0)=1, Find(4)=1, Add (0,4)=82 Failed, w=87\",\"Find(2)=1, Find(5)=1, Add (2,5)=83 Failed, w=87\",\"Find(2)=1, Find(6)=1, Add (2,6)=85 Failed, w=87\",\"Find(0)=1, Find(1)=1, Add (0,1)=90 Failed, w=87\",\"Find(2)=1, Find(3)=1, Add (2,3)=92 Failed, w=87\",\"Find(0)=1, Find(7)=1, Add (0,7)=98 Failed, w=87\"],\"Answer\":87}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,90],[0,2,76],[0,4,82],[0,5,50],[0,6,22],[0,7,98],[1,2,42],[1,3,7],[1,4,12],[1,5,78],[1,6,43],[1,7,51],[2,3,92],[2,4,21],[2,5,83],[2,6,85],[3,4,65],[3,5,10],[3,6,10],[3,7,45],[4,5,33],[4,6,54],[4,7,25],[5,6,32],[6,7,5]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(6,7)=5,(1,3)=7,(3,5)=10,(3,6)=10,(1,4)=12,(2,4)=21,(0,6)=22,(4,7)=25,(5,6)=32,(4,5)=33,(1,2)=42,(1,6)=43,(3,7)=45,(0,5)=50,(1,7)=51,(4,6)=54,(3,4)=65,(0,2)=76,(1,5)=78,(0,4)=82,(2,5)=83,(2,6)=85,(0,1)=90,(2,3)=92,(0,7)=98]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 6}, Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6, 7: 6}, Find(3)=1, Find(5)=5, Add (3,5)=10 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 1, 7: 6}, Find(3)=1, Find(6)=6, Add (3,6)=10 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 6}, Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=44\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 6}, Find(2)=2, Find(4)=1, Add (2,4)=21 Succeeded, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 6}, Find(0)=0, Find(6)=1, Add (0,6)=22 Succeeded, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=25 Failed, w=87\",\"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)=32 Failed, w=87\",\"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)=33 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=42 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=43 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=45 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=50 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=51 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=54 Failed, w=87\",\"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)=65 Failed, w=87\",\"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)=76 Failed, w=87\",\"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)=78 Failed, w=87\",\"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)=82 Failed, w=87\",\"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)=83 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(6)=1, Add (2,6)=85 Failed, w=87\",\"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)=90 Failed, w=87\",\"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)=92 Failed, w=87\",\"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)=98 Failed, w=87\"],\"Answer\":87}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,45],[0,2,1],[1,2,94],[2,3,31]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,1],[1,2,94],[2,3,31]]}", "role": "user" }, { "content": "{\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,1],[1,2,94],[2,3,31]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,1],[1,2,94],[2,3,31]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (2,3)=31, w=32\",\"Add (0,1)=45, w=77\"],\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,1],[1,2,94],[2,3,31]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (2,3)=31 Succeeded, w=32\",\"Add (0,1)=45 Succeeded, w=77\",\"Add (1,2)=94 Failed, w=77\"],\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,1],[1,2,94],[2,3,31]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=1,(2,3)=31,(0,1)=45,(1,2)=94]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(2)=0, Find(3)=3, Add (2,3)=31 Succeeded, w=32\",\"Find(0)=0, Find(1)=1, Add (0,1)=45 Succeeded, w=77\",\"Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=77\"],\"Answer\":77}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,1],[1,2,94],[2,3,31]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=1,(2,3)=31,(0,1)=45,(1,2)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=31 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=45 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=77\"],\"Answer\":77}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,50],[0,2,83],[0,3,70],[1,2,66],[1,3,68],[2,3,52]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,83],[0,3,70],[1,2,66],[1,3,68],[2,3,52]]}", "role": "user" }, { "content": "{\"Answer\":168}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,83],[0,3,70],[1,2,66],[1,3,68],[2,3,52]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"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\":[[0,1,50],[0,2,83],[0,3,70],[1,2,66],[1,3,68],[2,3,52]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=50, w=50\",\"Add (2,3)=52, w=102\",\"Add (1,2)=66, w=168\"],\"Answer\":168}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,83],[0,3,70],[1,2,66],[1,3,68],[2,3,52]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=50 Succeeded, w=50\",\"Add (2,3)=52 Succeeded, w=102\",\"Add (1,2)=66 Succeeded, w=168\",\"Add (1,3)=68 Failed, w=168\",\"Add (0,3)=70 Failed, w=168\",\"Add (0,2)=83 Failed, w=168\"],\"Answer\":168}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,83],[0,3,70],[1,2,66],[1,3,68],[2,3,52]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=50,(2,3)=52,(1,2)=66,(1,3)=68,(0,3)=70,(0,2)=83]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=50\",\"Find(2)=2, Find(3)=3, Add (2,3)=52 Succeeded, w=102\",\"Find(1)=0, Find(2)=2, Add (1,2)=66 Succeeded, w=168\",\"Find(1)=0, Find(3)=0, Add (1,3)=68 Failed, w=168\",\"Find(0)=0, Find(3)=0, Add (0,3)=70 Failed, w=168\",\"Find(0)=0, Find(2)=0, Add (0,2)=83 Failed, w=168\"],\"Answer\":168}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,83],[0,3,70],[1,2,66],[1,3,68],[2,3,52]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=50,(2,3)=52,(1,2)=66,(1,3)=68,(0,3)=70,(0,2)=83]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=52 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(2)=2, Add (1,2)=66 Succeeded, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=68 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=70 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=83 Failed, w=168\"],\"Answer\":168}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,0],[0,3,35],[0,4,33],[0,5,18],[1,4,59],[1,5,84],[1,6,14],[2,4,24],[2,6,71],[3,5,14],[3,6,28],[4,5,38],[4,6,35]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,0],[0,3,35],[0,4,33],[0,5,18],[1,4,59],[1,5,84],[1,6,14],[2,4,24],[2,6,71],[3,5,14],[3,6,28],[4,5,38],[4,6,35]]}", "role": "user" }, { "content": "{\"Answer\":98}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,0],[0,3,35],[0,4,33],[0,5,18],[1,4,59],[1,5,84],[1,6,14],[2,4,24],[2,6,71],[3,5,14],[3,6,28],[4,5,38],[4,6,35]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (1,6)\",\"Add (3,5)\",\"Add (0,5)\",\"Add (2,4)\",\"Add (3,6)\"],\"Answer\":98}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,0],[0,3,35],[0,4,33],[0,5,18],[1,4,59],[1,5,84],[1,6,14],[2,4,24],[2,6,71],[3,5,14],[3,6,28],[4,5,38],[4,6,35]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=0, w=0\",\"Add (1,6)=14, w=14\",\"Add (3,5)=14, w=28\",\"Add (0,5)=18, w=46\",\"Add (2,4)=24, w=70\",\"Add (3,6)=28, w=98\"],\"Answer\":98}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,0],[0,3,35],[0,4,33],[0,5,18],[1,4,59],[1,5,84],[1,6,14],[2,4,24],[2,6,71],[3,5,14],[3,6,28],[4,5,38],[4,6,35]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=0 Succeeded, w=0\",\"Add (1,6)=14 Succeeded, w=14\",\"Add (3,5)=14 Succeeded, w=28\",\"Add (0,5)=18 Succeeded, w=46\",\"Add (2,4)=24 Succeeded, w=70\",\"Add (3,6)=28 Succeeded, w=98\",\"Add (0,4)=33 Failed, w=98\",\"Add (0,3)=35 Failed, w=98\",\"Add (4,6)=35 Failed, w=98\",\"Add (4,5)=38 Failed, w=98\",\"Add (1,4)=59 Failed, w=98\",\"Add (2,6)=71 Failed, w=98\",\"Add (1,5)=84 Failed, w=98\"],\"Answer\":98}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,0],[0,3,35],[0,4,33],[0,5,18],[1,4,59],[1,5,84],[1,6,14],[2,4,24],[2,6,71],[3,5,14],[3,6,28],[4,5,38],[4,6,35]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=0,(1,6)=14,(3,5)=14,(0,5)=18,(2,4)=24,(3,6)=28,(0,4)=33,(0,3)=35,(4,6)=35,(4,5)=38,(1,4)=59,(2,6)=71,(1,5)=84]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Find(1)=1, Find(6)=6, Add (1,6)=14 Succeeded, w=14\",\"Find(3)=3, Find(5)=5, Add (3,5)=14 Succeeded, w=28\",\"Find(0)=0, Find(5)=3, Add (0,5)=18 Succeeded, w=46\",\"Find(2)=0, Find(4)=4, Add (2,4)=24 Succeeded, w=70\",\"Find(3)=0, Find(6)=1, Add (3,6)=28 Succeeded, w=98\",\"Find(0)=0, Find(4)=0, Add (0,4)=33 Failed, w=98\",\"Find(0)=0, Find(3)=0, Add (0,3)=35 Failed, w=98\",\"Find(4)=0, Find(6)=0, Add (4,6)=35 Failed, w=98\",\"Find(4)=0, Find(5)=0, Add (4,5)=38 Failed, w=98\",\"Find(1)=0, Find(4)=0, Add (1,4)=59 Failed, w=98\",\"Find(2)=0, Find(6)=0, Add (2,6)=71 Failed, w=98\",\"Find(1)=0, Find(5)=0, Add (1,5)=84 Failed, w=98\"],\"Answer\":98}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,0],[0,3,35],[0,4,33],[0,5,18],[1,4,59],[1,5,84],[1,6,14],[2,4,24],[2,6,71],[3,5,14],[3,6,28],[4,5,38],[4,6,35]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=0,(1,6)=14,(3,5)=14,(0,5)=18,(2,4)=24,(3,6)=28,(0,4)=33,(0,3)=35,(4,6)=35,(4,5)=38,(1,4)=59,(2,6)=71,(1,5)=84]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3, 6: 1}, Find(3)=3, Find(5)=5, Add (3,5)=14 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 3, 6: 1}, Find(0)=0, Find(5)=3, Add (0,5)=18 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 3, 6: 1}, Find(2)=0, Find(4)=4, Add (2,4)=24 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 1}, Find(3)=0, Find(6)=1, Add (3,6)=28 Succeeded, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 1}, Find(0)=0, Find(4)=0, Add (0,4)=33 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 1}, Find(0)=0, Find(3)=0, Add (0,3)=35 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=35 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=38 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=59 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=71 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=84 Failed, w=98\"],\"Answer\":98}", "role": "assistant" } ]

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