Datasets:

xuan-luo
/

mst_cot

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Split (6)

train · 100k rows

graph stringlengths 50 311	messages_l0 listlengths 2 2	messages_l1 listlengths 2 2	messages_l2 listlengths 2 2	messages_l3 listlengths 2 2	messages_l4 listlengths 2 2	messages_l5 listlengths 2 2
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,50],[0,2,45],[0,3,90],[1,2,41],[1,3,37],[2,3,70]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,45],[0,3,90],[1,2,41],[1,3,37],[2,3,70]]}", "role": "user" }, { "content": "{\"Answer\":123}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,45],[0,3,90],[1,2,41],[1,3,37],[2,3,70]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":123}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,45],[0,3,90],[1,2,41],[1,3,37],[2,3,70]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=37, w=37\",\"Add (1,2)=41, w=78\",\"Add (0,2)=45, w=123\"],\"Answer\":123}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,45],[0,3,90],[1,2,41],[1,3,37],[2,3,70]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=37 Succeeded, w=37\",\"Add (1,2)=41 Succeeded, w=78\",\"Add (0,2)=45 Succeeded, w=123\",\"Add (0,1)=50 Failed, w=123\",\"Add (2,3)=70 Failed, w=123\",\"Add (0,3)=90 Failed, w=123\"],\"Answer\":123}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,45],[0,3,90],[1,2,41],[1,3,37],[2,3,70]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=37,(1,2)=41,(0,2)=45,(0,1)=50,(2,3)=70,(0,3)=90]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=37 Succeeded, w=37\",\"Find(1)=1, Find(2)=2, Add (1,2)=41 Succeeded, w=78\",\"Find(0)=0, Find(2)=1, Add (0,2)=45 Succeeded, w=123\",\"Find(0)=1, Find(1)=1, Add (0,1)=50 Failed, w=123\",\"Find(2)=1, Find(3)=1, Add (2,3)=70 Failed, w=123\",\"Find(0)=1, Find(3)=1, Add (0,3)=90 Failed, w=123\"],\"Answer\":123}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,45],[0,3,90],[1,2,41],[1,3,37],[2,3,70]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=37,(1,2)=41,(0,2)=45,(0,1)=50,(2,3)=70,(0,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=37 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=41 Succeeded, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=45 Succeeded, w=123\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=50 Failed, w=123\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=70 Failed, w=123\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=90 Failed, w=123\"],\"Answer\":123}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,71],[0,4,76],[0,6,35],[1,2,5],[1,4,48],[1,5,16],[1,6,16],[2,3,66],[2,5,75],[2,6,40],[3,4,65],[3,5,15],[3,6,90],[4,5,100],[5,6,61]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,4,76],[0,6,35],[1,2,5],[1,4,48],[1,5,16],[1,6,16],[2,3,66],[2,5,75],[2,6,40],[3,4,65],[3,5,15],[3,6,90],[4,5,100],[5,6,61]]}", "role": "user" }, { "content": "{\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,4,76],[0,6,35],[1,2,5],[1,4,48],[1,5,16],[1,6,16],[2,3,66],[2,5,75],[2,6,40],[3,4,65],[3,5,15],[3,6,90],[4,5,100],[5,6,61]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (3,5)\",\"Add (1,5)\",\"Add (1,6)\",\"Add (0,6)\",\"Add (1,4)\"],\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,4,76],[0,6,35],[1,2,5],[1,4,48],[1,5,16],[1,6,16],[2,3,66],[2,5,75],[2,6,40],[3,4,65],[3,5,15],[3,6,90],[4,5,100],[5,6,61]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=5, w=5\",\"Add (3,5)=15, w=20\",\"Add (1,5)=16, w=36\",\"Add (1,6)=16, w=52\",\"Add (0,6)=35, w=87\",\"Add (1,4)=48, w=135\"],\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,4,76],[0,6,35],[1,2,5],[1,4,48],[1,5,16],[1,6,16],[2,3,66],[2,5,75],[2,6,40],[3,4,65],[3,5,15],[3,6,90],[4,5,100],[5,6,61]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=5 Succeeded, w=5\",\"Add (3,5)=15 Succeeded, w=20\",\"Add (1,5)=16 Succeeded, w=36\",\"Add (1,6)=16 Succeeded, w=52\",\"Add (0,6)=35 Succeeded, w=87\",\"Add (2,6)=40 Failed, w=87\",\"Add (1,4)=48 Succeeded, w=135\",\"Add (5,6)=61 Failed, w=135\",\"Add (3,4)=65 Failed, w=135\",\"Add (2,3)=66 Failed, w=135\",\"Add (0,1)=71 Failed, w=135\",\"Add (2,5)=75 Failed, w=135\",\"Add (0,4)=76 Failed, w=135\",\"Add (3,6)=90 Failed, w=135\",\"Add (4,5)=100 Failed, w=135\"],\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,4,76],[0,6,35],[1,2,5],[1,4,48],[1,5,16],[1,6,16],[2,3,66],[2,5,75],[2,6,40],[3,4,65],[3,5,15],[3,6,90],[4,5,100],[5,6,61]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=5,(3,5)=15,(1,5)=16,(1,6)=16,(0,6)=35,(2,6)=40,(1,4)=48,(5,6)=61,(3,4)=65,(2,3)=66,(0,1)=71,(2,5)=75,(0,4)=76,(3,6)=90,(4,5)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Find(3)=3, Find(5)=5, Add (3,5)=15 Succeeded, w=20\",\"Find(1)=1, Find(5)=3, Add (1,5)=16 Succeeded, w=36\",\"Find(1)=1, Find(6)=6, Add (1,6)=16 Succeeded, w=52\",\"Find(0)=0, Find(6)=1, Add (0,6)=35 Succeeded, w=87\",\"Find(2)=1, Find(6)=1, Add (2,6)=40 Failed, w=87\",\"Find(1)=1, Find(4)=4, Add (1,4)=48 Succeeded, w=135\",\"Find(5)=1, Find(6)=1, Add (5,6)=61 Failed, w=135\",\"Find(3)=1, Find(4)=1, Add (3,4)=65 Failed, w=135\",\"Find(2)=1, Find(3)=1, Add (2,3)=66 Failed, w=135\",\"Find(0)=1, Find(1)=1, Add (0,1)=71 Failed, w=135\",\"Find(2)=1, Find(5)=1, Add (2,5)=75 Failed, w=135\",\"Find(0)=1, Find(4)=1, Add (0,4)=76 Failed, w=135\",\"Find(3)=1, Find(6)=1, Add (3,6)=90 Failed, w=135\",\"Find(4)=1, Find(5)=1, Add (4,5)=100 Failed, w=135\"],\"Answer\":135}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,4,76],[0,6,35],[1,2,5],[1,4,48],[1,5,16],[1,6,16],[2,3,66],[2,5,75],[2,6,40],[3,4,65],[3,5,15],[3,6,90],[4,5,100],[5,6,61]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=5,(3,5)=15,(1,5)=16,(1,6)=16,(0,6)=35,(2,6)=40,(1,4)=48,(5,6)=61,(3,4)=65,(2,3)=66,(0,1)=71,(2,5)=75,(0,4)=76,(3,6)=90,(4,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=15 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 3, 6: 6}, Find(1)=1, Find(5)=3, Add (1,5)=16 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 3, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=16 Succeeded, w=52\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 3, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=35 Succeeded, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 3, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=40 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1}, Find(1)=1, Find(4)=4, Add (1,4)=48 Succeeded, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=61 Failed, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=65 Failed, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=66 Failed, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=71 Failed, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=75 Failed, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=76 Failed, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=90 Failed, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=100 Failed, w=135\"],\"Answer\":135}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,74],[0,3,34],[0,4,25],[0,5,65],[1,3,79],[1,4,85],[2,4,33],[2,5,25],[3,4,14],[3,5,4],[3,6,33],[5,7,5]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,3,34],[0,4,25],[0,5,65],[1,3,79],[1,4,85],[2,4,33],[2,5,25],[3,4,14],[3,5,4],[3,6,33],[5,7,5]]}", "role": "user" }, { "content": "{\"Answer\":180}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,3,34],[0,4,25],[0,5,65],[1,3,79],[1,4,85],[2,4,33],[2,5,25],[3,4,14],[3,5,4],[3,6,33],[5,7,5]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)\",\"Add (5,7)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (2,5)\",\"Add (3,6)\",\"Add (0,1)\"],\"Answer\":180}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,3,34],[0,4,25],[0,5,65],[1,3,79],[1,4,85],[2,4,33],[2,5,25],[3,4,14],[3,5,4],[3,6,33],[5,7,5]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=4, w=4\",\"Add (5,7)=5, w=9\",\"Add (3,4)=14, w=23\",\"Add (0,4)=25, w=48\",\"Add (2,5)=25, w=73\",\"Add (3,6)=33, w=106\",\"Add (0,1)=74, w=180\"],\"Answer\":180}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,3,34],[0,4,25],[0,5,65],[1,3,79],[1,4,85],[2,4,33],[2,5,25],[3,4,14],[3,5,4],[3,6,33],[5,7,5]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=4 Succeeded, w=4\",\"Add (5,7)=5 Succeeded, w=9\",\"Add (3,4)=14 Succeeded, w=23\",\"Add (0,4)=25 Succeeded, w=48\",\"Add (2,5)=25 Succeeded, w=73\",\"Add (2,4)=33 Failed, w=73\",\"Add (3,6)=33 Succeeded, w=106\",\"Add (0,3)=34 Failed, w=106\",\"Add (0,5)=65 Failed, w=106\",\"Add (0,1)=74 Succeeded, w=180\",\"Add (1,3)=79 Failed, w=180\",\"Add (1,4)=85 Failed, w=180\"],\"Answer\":180}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,3,34],[0,4,25],[0,5,65],[1,3,79],[1,4,85],[2,4,33],[2,5,25],[3,4,14],[3,5,4],[3,6,33],[5,7,5]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=4,(5,7)=5,(3,4)=14,(0,4)=25,(2,5)=25,(2,4)=33,(3,6)=33,(0,3)=34,(0,5)=65,(0,1)=74,(1,3)=79,(1,4)=85]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=4 Succeeded, w=4\",\"Find(5)=3, Find(7)=7, Add (5,7)=5 Succeeded, w=9\",\"Find(3)=3, Find(4)=4, Add (3,4)=14 Succeeded, w=23\",\"Find(0)=0, Find(4)=3, Add (0,4)=25 Succeeded, w=48\",\"Find(2)=2, Find(5)=3, Add (2,5)=25 Succeeded, w=73\",\"Find(2)=3, Find(4)=3, Add (2,4)=33 Failed, w=73\",\"Find(3)=3, Find(6)=6, Add (3,6)=33 Succeeded, w=106\",\"Find(0)=3, Find(3)=3, Add (0,3)=34 Failed, w=106\",\"Find(0)=3, Find(5)=3, Add (0,5)=65 Failed, w=106\",\"Find(0)=3, Find(1)=1, Add (0,1)=74 Succeeded, w=180\",\"Find(1)=3, Find(3)=3, Add (1,3)=79 Failed, w=180\",\"Find(1)=3, Find(4)=3, Add (1,4)=85 Failed, w=180\"],\"Answer\":180}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,3,34],[0,4,25],[0,5,65],[1,3,79],[1,4,85],[2,4,33],[2,5,25],[3,4,14],[3,5,4],[3,6,33],[5,7,5]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=4,(5,7)=5,(3,4)=14,(0,4)=25,(2,5)=25,(2,4)=33,(3,6)=33,(0,3)=34,(0,5)=65,(0,1)=74,(1,3)=79,(1,4)=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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 3}, Find(5)=3, Find(7)=7, Add (5,7)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(3)=3, Find(4)=4, Add (3,4)=14 Succeeded, w=23\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(0)=0, Find(4)=3, Add (0,4)=25 Succeeded, w=48\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(2)=2, Find(5)=3, Add (2,5)=25 Succeeded, w=73\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=33 Failed, w=73\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(6)=6, Add (3,6)=33 Succeeded, w=106\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=34 Failed, w=106\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(5)=3, Add (0,5)=65 Failed, w=106\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(1)=1, Add (0,1)=74 Succeeded, w=180\",\"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)=79 Failed, w=180\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=85 Failed, w=180\"],\"Answer\":180}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,98],[0,2,79],[0,4,30],[0,5,20],[1,3,37],[1,4,12],[2,3,78],[2,4,96],[2,5,51],[3,4,91],[3,5,27]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,79],[0,4,30],[0,5,20],[1,3,37],[1,4,12],[2,3,78],[2,4,96],[2,5,51],[3,4,91],[3,5,27]]}", "role": "user" }, { "content": "{\"Answer\":140}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,79],[0,4,30],[0,5,20],[1,3,37],[1,4,12],[2,3,78],[2,4,96],[2,5,51],[3,4,91],[3,5,27]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)\",\"Add (0,5)\",\"Add (3,5)\",\"Add (0,4)\",\"Add (2,5)\"],\"Answer\":140}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,79],[0,4,30],[0,5,20],[1,3,37],[1,4,12],[2,3,78],[2,4,96],[2,5,51],[3,4,91],[3,5,27]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=12, w=12\",\"Add (0,5)=20, w=32\",\"Add (3,5)=27, w=59\",\"Add (0,4)=30, w=89\",\"Add (2,5)=51, w=140\"],\"Answer\":140}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,79],[0,4,30],[0,5,20],[1,3,37],[1,4,12],[2,3,78],[2,4,96],[2,5,51],[3,4,91],[3,5,27]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=12 Succeeded, w=12\",\"Add (0,5)=20 Succeeded, w=32\",\"Add (3,5)=27 Succeeded, w=59\",\"Add (0,4)=30 Succeeded, w=89\",\"Add (1,3)=37 Failed, w=89\",\"Add (2,5)=51 Succeeded, w=140\",\"Add (2,3)=78 Failed, w=140\",\"Add (0,2)=79 Failed, w=140\",\"Add (3,4)=91 Failed, w=140\",\"Add (2,4)=96 Failed, w=140\",\"Add (0,1)=98 Failed, w=140\"],\"Answer\":140}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,79],[0,4,30],[0,5,20],[1,3,37],[1,4,12],[2,3,78],[2,4,96],[2,5,51],[3,4,91],[3,5,27]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=12,(0,5)=20,(3,5)=27,(0,4)=30,(1,3)=37,(2,5)=51,(2,3)=78,(0,2)=79,(3,4)=91,(2,4)=96,(0,1)=98]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=12\",\"Find(0)=0, Find(5)=5, Add (0,5)=20 Succeeded, w=32\",\"Find(3)=3, Find(5)=0, Add (3,5)=27 Succeeded, w=59\",\"Find(0)=0, Find(4)=1, Add (0,4)=30 Succeeded, w=89\",\"Find(1)=0, Find(3)=0, Add (1,3)=37 Failed, w=89\",\"Find(2)=2, Find(5)=0, Add (2,5)=51 Succeeded, w=140\",\"Find(2)=0, Find(3)=0, Add (2,3)=78 Failed, w=140\",\"Find(0)=0, Find(2)=0, Add (0,2)=79 Failed, w=140\",\"Find(3)=0, Find(4)=0, Add (3,4)=91 Failed, w=140\",\"Find(2)=0, Find(4)=0, Add (2,4)=96 Failed, w=140\",\"Find(0)=0, Find(1)=0, Add (0,1)=98 Failed, w=140\"],\"Answer\":140}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,79],[0,4,30],[0,5,20],[1,3,37],[1,4,12],[2,3,78],[2,4,96],[2,5,51],[3,4,91],[3,5,27]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=12,(0,5)=20,(3,5)=27,(0,4)=30,(1,3)=37,(2,5)=51,(2,3)=78,(0,2)=79,(3,4)=91,(2,4)=96,(0,1)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=20 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=27 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 0}, Find(0)=0, Find(4)=1, Add (0,4)=30 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=37 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=51 Succeeded, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=78 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=79 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=91 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=96 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=98 Failed, w=140\"],\"Answer\":140}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,82],[0,2,6],[0,3,57],[1,3,63],[2,3,71]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,6],[0,3,57],[1,3,63],[2,3,71]]}", "role": "user" }, { "content": "{\"Answer\":126}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,6],[0,3,57],[1,3,63],[2,3,71]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":126}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,6],[0,3,57],[1,3,63],[2,3,71]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=6, w=6\",\"Add (0,3)=57, w=63\",\"Add (1,3)=63, w=126\"],\"Answer\":126}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,6],[0,3,57],[1,3,63],[2,3,71]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=6 Succeeded, w=6\",\"Add (0,3)=57 Succeeded, w=63\",\"Add (1,3)=63 Succeeded, w=126\",\"Add (2,3)=71 Failed, w=126\",\"Add (0,1)=82 Failed, w=126\"],\"Answer\":126}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,6],[0,3,57],[1,3,63],[2,3,71]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=6,(0,3)=57,(1,3)=63,(2,3)=71,(0,1)=82]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Find(0)=0, Find(3)=3, Add (0,3)=57 Succeeded, w=63\",\"Find(1)=1, Find(3)=0, Add (1,3)=63 Succeeded, w=126\",\"Find(2)=0, Find(3)=0, Add (2,3)=71 Failed, w=126\",\"Find(0)=0, Find(1)=0, Add (0,1)=82 Failed, w=126\"],\"Answer\":126}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,6],[0,3,57],[1,3,63],[2,3,71]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=6,(0,3)=57,(1,3)=63,(2,3)=71,(0,1)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=57 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=63 Succeeded, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=71 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=82 Failed, w=126\"],\"Answer\":126}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,18],[2,3,96]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,18],[2,3,96]]}", "role": "user" }, { "content": "{\"Answer\":114}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,18],[2,3,96]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":114}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,18],[2,3,96]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=18, w=18\",\"Add (2,3)=96, w=114\"],\"Answer\":114}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,18],[2,3,96]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=18 Succeeded, w=18\",\"Add (2,3)=96 Succeeded, w=114\"],\"Answer\":114}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,18],[2,3,96]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=18,(2,3)=96]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=18\",\"Find(2)=2, Find(3)=0, Add (2,3)=96 Succeeded, w=114\"],\"Answer\":114}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,18],[2,3,96]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=18,(2,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=96 Succeeded, w=114\"],\"Answer\":114}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,28],[0,2,86],[0,3,37],[0,4,59],[0,6,100],[1,3,70],[1,4,52],[1,5,35],[2,3,22],[2,4,98],[2,5,35],[2,6,77],[3,4,54],[3,6,3],[5,6,17]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,28],[0,2,86],[0,3,37],[0,4,59],[0,6,100],[1,3,70],[1,4,52],[1,5,35],[2,3,22],[2,4,98],[2,5,35],[2,6,77],[3,4,54],[3,6,3],[5,6,17]]}", "role": "user" }, { "content": "{\"Answer\":157}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,28],[0,2,86],[0,3,37],[0,4,59],[0,6,100],[1,3,70],[1,4,52],[1,5,35],[2,3,22],[2,4,98],[2,5,35],[2,6,77],[3,4,54],[3,6,3],[5,6,17]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)\",\"Add (5,6)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (1,5)\",\"Add (1,4)\"],\"Answer\":157}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,28],[0,2,86],[0,3,37],[0,4,59],[0,6,100],[1,3,70],[1,4,52],[1,5,35],[2,3,22],[2,4,98],[2,5,35],[2,6,77],[3,4,54],[3,6,3],[5,6,17]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)=3, w=3\",\"Add (5,6)=17, w=20\",\"Add (2,3)=22, w=42\",\"Add (0,1)=28, w=70\",\"Add (1,5)=35, w=105\",\"Add (1,4)=52, w=157\"],\"Answer\":157}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,28],[0,2,86],[0,3,37],[0,4,59],[0,6,100],[1,3,70],[1,4,52],[1,5,35],[2,3,22],[2,4,98],[2,5,35],[2,6,77],[3,4,54],[3,6,3],[5,6,17]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)=3 Succeeded, w=3\",\"Add (5,6)=17 Succeeded, w=20\",\"Add (2,3)=22 Succeeded, w=42\",\"Add (0,1)=28 Succeeded, w=70\",\"Add (1,5)=35 Succeeded, w=105\",\"Add (2,5)=35 Failed, w=105\",\"Add (0,3)=37 Failed, w=105\",\"Add (1,4)=52 Succeeded, w=157\",\"Add (3,4)=54 Failed, w=157\",\"Add (0,4)=59 Failed, w=157\",\"Add (1,3)=70 Failed, w=157\",\"Add (2,6)=77 Failed, w=157\",\"Add (0,2)=86 Failed, w=157\",\"Add (2,4)=98 Failed, w=157\",\"Add (0,6)=100 Failed, w=157\"],\"Answer\":157}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,28],[0,2,86],[0,3,37],[0,4,59],[0,6,100],[1,3,70],[1,4,52],[1,5,35],[2,3,22],[2,4,98],[2,5,35],[2,6,77],[3,4,54],[3,6,3],[5,6,17]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,6)=3,(5,6)=17,(2,3)=22,(0,1)=28,(1,5)=35,(2,5)=35,(0,3)=37,(1,4)=52,(3,4)=54,(0,4)=59,(1,3)=70,(2,6)=77,(0,2)=86,(2,4)=98,(0,6)=100]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=3 Succeeded, w=3\",\"Find(5)=5, Find(6)=3, Add (5,6)=17 Succeeded, w=20\",\"Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=42\",\"Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=70\",\"Find(1)=0, Find(5)=3, Add (1,5)=35 Succeeded, w=105\",\"Find(2)=0, Find(5)=0, Add (2,5)=35 Failed, w=105\",\"Find(0)=0, Find(3)=0, Add (0,3)=37 Failed, w=105\",\"Find(1)=0, Find(4)=4, Add (1,4)=52 Succeeded, w=157\",\"Find(3)=0, Find(4)=0, Add (3,4)=54 Failed, w=157\",\"Find(0)=0, Find(4)=0, Add (0,4)=59 Failed, w=157\",\"Find(1)=0, Find(3)=0, Add (1,3)=70 Failed, w=157\",\"Find(2)=0, Find(6)=0, Add (2,6)=77 Failed, w=157\",\"Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=157\",\"Find(2)=0, Find(4)=0, Add (2,4)=98 Failed, w=157\",\"Find(0)=0, Find(6)=0, Add (0,6)=100 Failed, w=157\"],\"Answer\":157}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,28],[0,2,86],[0,3,37],[0,4,59],[0,6,100],[1,3,70],[1,4,52],[1,5,35],[2,3,22],[2,4,98],[2,5,35],[2,6,77],[3,4,54],[3,6,3],[5,6,17]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,6)=3,(5,6)=17,(2,3)=22,(0,1)=28,(1,5)=35,(2,5)=35,(0,3)=37,(1,4)=52,(3,4)=54,(0,4)=59,(1,3)=70,(2,6)=77,(0,2)=86,(2,4)=98,(0,6)=100]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3}, Find(5)=5, Find(6)=3, Add (5,6)=17 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3}, Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3}, Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 4, 5: 3, 6: 3}, Find(1)=0, Find(5)=3, Add (1,5)=35 Succeeded, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 3}, Find(2)=0, Find(5)=0, Add (2,5)=35 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 3}, Find(0)=0, Find(3)=0, Add (0,3)=37 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(1)=0, Find(4)=4, Add (1,4)=52 Succeeded, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(3)=0, Find(4)=0, Add (3,4)=54 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(0)=0, Find(4)=0, Add (0,4)=59 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(1)=0, Find(3)=0, Add (1,3)=70 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=77 Failed, w=157\",\"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=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=98 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=100 Failed, w=157\"],\"Answer\":157}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,16],[0,4,69],[1,3,84],[1,5,13],[2,3,21],[3,4,43],[4,5,48]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,4,69],[1,3,84],[1,5,13],[2,3,21],[3,4,43],[4,5,48]]}", "role": "user" }, { "content": "{\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,4,69],[1,3,84],[1,5,13],[2,3,21],[3,4,43],[4,5,48]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (4,5)\"],\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,4,69],[1,3,84],[1,5,13],[2,3,21],[3,4,43],[4,5,48]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)=13, w=13\",\"Add (0,1)=16, w=29\",\"Add (2,3)=21, w=50\",\"Add (3,4)=43, w=93\",\"Add (4,5)=48, w=141\"],\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,4,69],[1,3,84],[1,5,13],[2,3,21],[3,4,43],[4,5,48]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)=13 Succeeded, w=13\",\"Add (0,1)=16 Succeeded, w=29\",\"Add (2,3)=21 Succeeded, w=50\",\"Add (3,4)=43 Succeeded, w=93\",\"Add (4,5)=48 Succeeded, w=141\",\"Add (0,4)=69 Failed, w=141\",\"Add (1,3)=84 Failed, w=141\"],\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,4,69],[1,3,84],[1,5,13],[2,3,21],[3,4,43],[4,5,48]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,5)=13,(0,1)=16,(2,3)=21,(3,4)=43,(4,5)=48,(0,4)=69,(1,3)=84]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=13 Succeeded, w=13\",\"Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=29\",\"Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=50\",\"Find(3)=2, Find(4)=4, Add (3,4)=43 Succeeded, w=93\",\"Find(4)=2, Find(5)=1, Add (4,5)=48 Succeeded, w=141\",\"Find(0)=2, Find(4)=2, Add (0,4)=69 Failed, w=141\",\"Find(1)=2, Find(3)=2, Add (1,3)=84 Failed, w=141\"],\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,4,69],[1,3,84],[1,5,13],[2,3,21],[3,4,43],[4,5,48]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,5)=13,(0,1)=16,(2,3)=21,(3,4)=43,(4,5)=48,(0,4)=69,(1,3)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=13 Succeeded, w=13\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1}, Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=50\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1}, Find(3)=2, Find(4)=4, Add (3,4)=43 Succeeded, w=93\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(4)=2, Find(5)=1, Add (4,5)=48 Succeeded, w=141\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(0)=2, Find(4)=2, Add (0,4)=69 Failed, w=141\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(1)=2, Find(3)=2, Add (1,3)=84 Failed, w=141\"],\"Answer\":141}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,0],[0,3,25],[1,2,10],[1,3,51],[2,3,46]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,0],[0,3,25],[1,2,10],[1,3,51],[2,3,46]]}", "role": "user" }, { "content": "{\"Answer\":35}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,0],[0,3,25],[1,2,10],[1,3,51],[2,3,46]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":35}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,0],[0,3,25],[1,2,10],[1,3,51],[2,3,46]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=0, w=0\",\"Add (1,2)=10, w=10\",\"Add (0,3)=25, w=35\"],\"Answer\":35}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,0],[0,3,25],[1,2,10],[1,3,51],[2,3,46]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=0 Succeeded, w=0\",\"Add (1,2)=10 Succeeded, w=10\",\"Add (0,3)=25 Succeeded, w=35\",\"Add (2,3)=46 Failed, w=35\",\"Add (1,3)=51 Failed, w=35\"],\"Answer\":35}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,0],[0,3,25],[1,2,10],[1,3,51],[2,3,46]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=0,(1,2)=10,(0,3)=25,(2,3)=46,(1,3)=51]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=0, Add (1,2)=10 Succeeded, w=10\",\"Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=35\",\"Find(2)=0, Find(3)=0, Add (2,3)=46 Failed, w=35\",\"Find(1)=0, Find(3)=0, Add (1,3)=51 Failed, w=35\"],\"Answer\":35}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,0],[0,3,25],[1,2,10],[1,3,51],[2,3,46]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=0,(1,2)=10,(0,3)=25,(2,3)=46,(1,3)=51]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=1, Find(2)=0, Add (1,2)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=46 Failed, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=51 Failed, w=35\"],\"Answer\":35}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,15],[0,2,14],[0,3,59],[0,4,35],[0,5,6],[0,6,20],[1,2,47],[1,4,2],[1,5,100],[1,6,20],[2,3,79],[2,4,14],[2,5,5],[3,4,19],[3,5,94],[3,6,97],[4,6,88]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,2,14],[0,3,59],[0,4,35],[0,5,6],[0,6,20],[1,2,47],[1,4,2],[1,5,100],[1,6,20],[2,3,79],[2,4,14],[2,5,5],[3,4,19],[3,5,94],[3,6,97],[4,6,88]]}", "role": "user" }, { "content": "{\"Answer\":66}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,2,14],[0,3,59],[0,4,35],[0,5,6],[0,6,20],[1,2,47],[1,4,2],[1,5,100],[1,6,20],[2,3,79],[2,4,14],[2,5,5],[3,4,19],[3,5,94],[3,6,97],[4,6,88]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)\",\"Add (2,5)\",\"Add (0,5)\",\"Add (2,4)\",\"Add (3,4)\",\"Add (0,6)\"],\"Answer\":66}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,2,14],[0,3,59],[0,4,35],[0,5,6],[0,6,20],[1,2,47],[1,4,2],[1,5,100],[1,6,20],[2,3,79],[2,4,14],[2,5,5],[3,4,19],[3,5,94],[3,6,97],[4,6,88]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=2, w=2\",\"Add (2,5)=5, w=7\",\"Add (0,5)=6, w=13\",\"Add (2,4)=14, w=27\",\"Add (3,4)=19, w=46\",\"Add (0,6)=20, w=66\"],\"Answer\":66}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,2,14],[0,3,59],[0,4,35],[0,5,6],[0,6,20],[1,2,47],[1,4,2],[1,5,100],[1,6,20],[2,3,79],[2,4,14],[2,5,5],[3,4,19],[3,5,94],[3,6,97],[4,6,88]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=2 Succeeded, w=2\",\"Add (2,5)=5 Succeeded, w=7\",\"Add (0,5)=6 Succeeded, w=13\",\"Add (0,2)=14 Failed, w=13\",\"Add (2,4)=14 Succeeded, w=27\",\"Add (0,1)=15 Failed, w=27\",\"Add (3,4)=19 Succeeded, w=46\",\"Add (0,6)=20 Succeeded, w=66\",\"Add (1,6)=20 Failed, w=66\",\"Add (0,4)=35 Failed, w=66\",\"Add (1,2)=47 Failed, w=66\",\"Add (0,3)=59 Failed, w=66\",\"Add (2,3)=79 Failed, w=66\",\"Add (4,6)=88 Failed, w=66\",\"Add (3,5)=94 Failed, w=66\",\"Add (3,6)=97 Failed, w=66\",\"Add (1,5)=100 Failed, w=66\"],\"Answer\":66}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,2,14],[0,3,59],[0,4,35],[0,5,6],[0,6,20],[1,2,47],[1,4,2],[1,5,100],[1,6,20],[2,3,79],[2,4,14],[2,5,5],[3,4,19],[3,5,94],[3,6,97],[4,6,88]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=2,(2,5)=5,(0,5)=6,(0,2)=14,(2,4)=14,(0,1)=15,(3,4)=19,(0,6)=20,(1,6)=20,(0,4)=35,(1,2)=47,(0,3)=59,(2,3)=79,(4,6)=88,(3,5)=94,(3,6)=97,(1,5)=100]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Find(2)=2, Find(5)=5, Add (2,5)=5 Succeeded, w=7\",\"Find(0)=0, Find(5)=2, Add (0,5)=6 Succeeded, w=13\",\"Find(0)=2, Find(2)=2, Add (0,2)=14 Failed, w=13\",\"Find(2)=2, Find(4)=1, Add (2,4)=14 Succeeded, w=27\",\"Find(0)=2, Find(1)=2, Add (0,1)=15 Failed, w=27\",\"Find(3)=3, Find(4)=2, Add (3,4)=19 Succeeded, w=46\",\"Find(0)=2, Find(6)=6, Add (0,6)=20 Succeeded, w=66\",\"Find(1)=2, Find(6)=2, Add (1,6)=20 Failed, w=66\",\"Find(0)=2, Find(4)=2, Add (0,4)=35 Failed, w=66\",\"Find(1)=2, Find(2)=2, Add (1,2)=47 Failed, w=66\",\"Find(0)=2, Find(3)=2, Add (0,3)=59 Failed, w=66\",\"Find(2)=2, Find(3)=2, Add (2,3)=79 Failed, w=66\",\"Find(4)=2, Find(6)=2, Add (4,6)=88 Failed, w=66\",\"Find(3)=2, Find(5)=2, Add (3,5)=94 Failed, w=66\",\"Find(3)=2, Find(6)=2, Add (3,6)=97 Failed, w=66\",\"Find(1)=2, Find(5)=2, Add (1,5)=100 Failed, w=66\"],\"Answer\":66}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,2,14],[0,3,59],[0,4,35],[0,5,6],[0,6,20],[1,2,47],[1,4,2],[1,5,100],[1,6,20],[2,3,79],[2,4,14],[2,5,5],[3,4,19],[3,5,94],[3,6,97],[4,6,88]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=2,(2,5)=5,(0,5)=6,(0,2)=14,(2,4)=14,(0,1)=15,(3,4)=19,(0,6)=20,(1,6)=20,(0,4)=35,(1,2)=47,(0,3)=59,(2,3)=79,(4,6)=88,(3,5)=94,(3,6)=97,(1,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=5 Succeeded, w=7\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 6}, Find(0)=0, Find(5)=2, Add (0,5)=6 Succeeded, w=13\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 6}, Find(0)=2, Find(2)=2, Add (0,2)=14 Failed, w=13\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 1, 5: 2, 6: 6}, Find(2)=2, Find(4)=1, Add (2,4)=14 Succeeded, w=27\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 1, 5: 2, 6: 6}, Find(0)=2, Find(1)=2, Add (0,1)=15 Failed, w=27\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(3)=3, Find(4)=2, Add (3,4)=19 Succeeded, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=6, Add (0,6)=20 Succeeded, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=20 Failed, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=35 Failed, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=47 Failed, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=59 Failed, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=79 Failed, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=88 Failed, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=94 Failed, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=97 Failed, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=100 Failed, w=66\"],\"Answer\":66}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,100],[0,2,3],[0,4,97],[0,5,85],[1,3,34],[1,4,72],[1,5,37],[2,4,40],[2,5,69],[3,4,100],[3,5,9],[4,5,90]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,3],[0,4,97],[0,5,85],[1,3,34],[1,4,72],[1,5,37],[2,4,40],[2,5,69],[3,4,100],[3,5,9],[4,5,90]]}", "role": "user" }, { "content": "{\"Answer\":155}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,3],[0,4,97],[0,5,85],[1,3,34],[1,4,72],[1,5,37],[2,4,40],[2,5,69],[3,4,100],[3,5,9],[4,5,90]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (3,5)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (2,5)\"],\"Answer\":155}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,3],[0,4,97],[0,5,85],[1,3,34],[1,4,72],[1,5,37],[2,4,40],[2,5,69],[3,4,100],[3,5,9],[4,5,90]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=3, w=3\",\"Add (3,5)=9, w=12\",\"Add (1,3)=34, w=46\",\"Add (2,4)=40, w=86\",\"Add (2,5)=69, w=155\"],\"Answer\":155}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,3],[0,4,97],[0,5,85],[1,3,34],[1,4,72],[1,5,37],[2,4,40],[2,5,69],[3,4,100],[3,5,9],[4,5,90]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=3 Succeeded, w=3\",\"Add (3,5)=9 Succeeded, w=12\",\"Add (1,3)=34 Succeeded, w=46\",\"Add (1,5)=37 Failed, w=46\",\"Add (2,4)=40 Succeeded, w=86\",\"Add (2,5)=69 Succeeded, w=155\",\"Add (1,4)=72 Failed, w=155\",\"Add (0,5)=85 Failed, w=155\",\"Add (4,5)=90 Failed, w=155\",\"Add (0,4)=97 Failed, w=155\",\"Add (0,1)=100 Failed, w=155\",\"Add (3,4)=100 Failed, w=155\"],\"Answer\":155}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,3],[0,4,97],[0,5,85],[1,3,34],[1,4,72],[1,5,37],[2,4,40],[2,5,69],[3,4,100],[3,5,9],[4,5,90]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=3,(3,5)=9,(1,3)=34,(1,5)=37,(2,4)=40,(2,5)=69,(1,4)=72,(0,5)=85,(4,5)=90,(0,4)=97,(0,1)=100,(3,4)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(3)=3, Find(5)=5, Add (3,5)=9 Succeeded, w=12\",\"Find(1)=1, Find(3)=3, Add (1,3)=34 Succeeded, w=46\",\"Find(1)=3, Find(5)=3, Add (1,5)=37 Failed, w=46\",\"Find(2)=0, Find(4)=4, Add (2,4)=40 Succeeded, w=86\",\"Find(2)=0, Find(5)=3, Add (2,5)=69 Succeeded, w=155\",\"Find(1)=0, Find(4)=0, Add (1,4)=72 Failed, w=155\",\"Find(0)=0, Find(5)=0, Add (0,5)=85 Failed, w=155\",\"Find(4)=0, Find(5)=0, Add (4,5)=90 Failed, w=155\",\"Find(0)=0, Find(4)=0, Add (0,4)=97 Failed, w=155\",\"Find(0)=0, Find(1)=0, Add (0,1)=100 Failed, w=155\",\"Find(3)=0, Find(4)=0, Add (3,4)=100 Failed, w=155\"],\"Answer\":155}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,3],[0,4,97],[0,5,85],[1,3,34],[1,4,72],[1,5,37],[2,4,40],[2,5,69],[3,4,100],[3,5,9],[4,5,90]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=3,(3,5)=9,(1,3)=34,(1,5)=37,(2,4)=40,(2,5)=69,(1,4)=72,(0,5)=85,(4,5)=90,(0,4)=97,(0,1)=100,(3,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=9 Succeeded, w=12\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 4, 5: 3}, Find(1)=1, Find(3)=3, Add (1,3)=34 Succeeded, w=46\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 4, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=37 Failed, w=46\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 0, 5: 3}, Find(2)=0, Find(4)=4, Add (2,4)=40 Succeeded, w=86\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 3}, Find(2)=0, Find(5)=3, Add (2,5)=69 Succeeded, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(1)=0, Find(4)=0, Add (1,4)=72 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=85 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=90 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=97 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=100 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=100 Failed, w=155\"],\"Answer\":155}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,22],[0,2,34],[0,3,55],[0,5,51],[1,2,60],[1,3,5],[1,4,52],[1,5,42],[2,4,47],[3,4,86],[3,5,19],[4,5,26]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,2,34],[0,3,55],[0,5,51],[1,2,60],[1,3,5],[1,4,52],[1,5,42],[2,4,47],[3,4,86],[3,5,19],[4,5,26]]}", "role": "user" }, { "content": "{\"Answer\":106}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,2,34],[0,3,55],[0,5,51],[1,2,60],[1,3,5],[1,4,52],[1,5,42],[2,4,47],[3,4,86],[3,5,19],[4,5,26]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (3,5)\",\"Add (0,1)\",\"Add (4,5)\",\"Add (0,2)\"],\"Answer\":106}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,2,34],[0,3,55],[0,5,51],[1,2,60],[1,3,5],[1,4,52],[1,5,42],[2,4,47],[3,4,86],[3,5,19],[4,5,26]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=5, w=5\",\"Add (3,5)=19, w=24\",\"Add (0,1)=22, w=46\",\"Add (4,5)=26, w=72\",\"Add (0,2)=34, w=106\"],\"Answer\":106}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,2,34],[0,3,55],[0,5,51],[1,2,60],[1,3,5],[1,4,52],[1,5,42],[2,4,47],[3,4,86],[3,5,19],[4,5,26]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=5 Succeeded, w=5\",\"Add (3,5)=19 Succeeded, w=24\",\"Add (0,1)=22 Succeeded, w=46\",\"Add (4,5)=26 Succeeded, w=72\",\"Add (0,2)=34 Succeeded, w=106\",\"Add (1,5)=42 Failed, w=106\",\"Add (2,4)=47 Failed, w=106\",\"Add (0,5)=51 Failed, w=106\",\"Add (1,4)=52 Failed, w=106\",\"Add (0,3)=55 Failed, w=106\",\"Add (1,2)=60 Failed, w=106\",\"Add (3,4)=86 Failed, w=106\"],\"Answer\":106}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,2,34],[0,3,55],[0,5,51],[1,2,60],[1,3,5],[1,4,52],[1,5,42],[2,4,47],[3,4,86],[3,5,19],[4,5,26]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=5,(3,5)=19,(0,1)=22,(4,5)=26,(0,2)=34,(1,5)=42,(2,4)=47,(0,5)=51,(1,4)=52,(0,3)=55,(1,2)=60,(3,4)=86]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Find(3)=1, Find(5)=5, Add (3,5)=19 Succeeded, w=24\",\"Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=46\",\"Find(4)=4, Find(5)=1, Add (4,5)=26 Succeeded, w=72\",\"Find(0)=1, Find(2)=2, Add (0,2)=34 Succeeded, w=106\",\"Find(1)=1, Find(5)=1, Add (1,5)=42 Failed, w=106\",\"Find(2)=1, Find(4)=1, Add (2,4)=47 Failed, w=106\",\"Find(0)=1, Find(5)=1, Add (0,5)=51 Failed, w=106\",\"Find(1)=1, Find(4)=1, Add (1,4)=52 Failed, w=106\",\"Find(0)=1, Find(3)=1, Add (0,3)=55 Failed, w=106\",\"Find(1)=1, Find(2)=1, Add (1,2)=60 Failed, w=106\",\"Find(3)=1, Find(4)=1, Add (3,4)=86 Failed, w=106\"],\"Answer\":106}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,2,34],[0,3,55],[0,5,51],[1,2,60],[1,3,5],[1,4,52],[1,5,42],[2,4,47],[3,4,86],[3,5,19],[4,5,26]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=5,(3,5)=19,(0,1)=22,(4,5)=26,(0,2)=34,(1,5)=42,(2,4)=47,(0,5)=51,(1,4)=52,(0,3)=55,(1,2)=60,(3,4)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1}, Find(3)=1, Find(5)=5, Add (3,5)=19 Succeeded, w=24\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=46\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(4)=4, Find(5)=1, Add (4,5)=26 Succeeded, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=2, Add (0,2)=34 Succeeded, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=42 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=47 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=51 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=52 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=55 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=60 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=86 Failed, w=106\"],\"Answer\":106}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,6],[0,2,83],[0,3,27],[0,4,72],[0,5,33],[0,6,59],[1,2,14],[1,3,19],[1,5,79],[1,6,31],[2,4,29],[2,5,9],[2,6,47],[3,4,0],[4,5,29],[4,6,3],[5,6,51]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,2,83],[0,3,27],[0,4,72],[0,5,33],[0,6,59],[1,2,14],[1,3,19],[1,5,79],[1,6,31],[2,4,29],[2,5,9],[2,6,47],[3,4,0],[4,5,29],[4,6,3],[5,6,51]]}", "role": "user" }, { "content": "{\"Answer\":51}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,2,83],[0,3,27],[0,4,72],[0,5,33],[0,6,59],[1,2,14],[1,3,19],[1,5,79],[1,6,31],[2,4,29],[2,5,9],[2,6,47],[3,4,0],[4,5,29],[4,6,3],[5,6,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)\",\"Add (4,6)\",\"Add (0,1)\",\"Add (2,5)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":51}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,2,83],[0,3,27],[0,4,72],[0,5,33],[0,6,59],[1,2,14],[1,3,19],[1,5,79],[1,6,31],[2,4,29],[2,5,9],[2,6,47],[3,4,0],[4,5,29],[4,6,3],[5,6,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=0, w=0\",\"Add (4,6)=3, w=3\",\"Add (0,1)=6, w=9\",\"Add (2,5)=9, w=18\",\"Add (1,2)=14, w=32\",\"Add (1,3)=19, w=51\"],\"Answer\":51}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,2,83],[0,3,27],[0,4,72],[0,5,33],[0,6,59],[1,2,14],[1,3,19],[1,5,79],[1,6,31],[2,4,29],[2,5,9],[2,6,47],[3,4,0],[4,5,29],[4,6,3],[5,6,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=0 Succeeded, w=0\",\"Add (4,6)=3 Succeeded, w=3\",\"Add (0,1)=6 Succeeded, w=9\",\"Add (2,5)=9 Succeeded, w=18\",\"Add (1,2)=14 Succeeded, w=32\",\"Add (1,3)=19 Succeeded, w=51\",\"Add (0,3)=27 Failed, w=51\",\"Add (2,4)=29 Failed, w=51\",\"Add (4,5)=29 Failed, w=51\",\"Add (1,6)=31 Failed, w=51\",\"Add (0,5)=33 Failed, w=51\",\"Add (2,6)=47 Failed, w=51\",\"Add (5,6)=51 Failed, w=51\",\"Add (0,6)=59 Failed, w=51\",\"Add (0,4)=72 Failed, w=51\",\"Add (1,5)=79 Failed, w=51\",\"Add (0,2)=83 Failed, w=51\"],\"Answer\":51}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,2,83],[0,3,27],[0,4,72],[0,5,33],[0,6,59],[1,2,14],[1,3,19],[1,5,79],[1,6,31],[2,4,29],[2,5,9],[2,6,47],[3,4,0],[4,5,29],[4,6,3],[5,6,51]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=0,(4,6)=3,(0,1)=6,(2,5)=9,(1,2)=14,(1,3)=19,(0,3)=27,(2,4)=29,(4,5)=29,(1,6)=31,(0,5)=33,(2,6)=47,(5,6)=51,(0,6)=59,(0,4)=72,(1,5)=79,(0,2)=83]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Find(4)=3, Find(6)=6, Add (4,6)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=9\",\"Find(2)=2, Find(5)=5, Add (2,5)=9 Succeeded, w=18\",\"Find(1)=0, Find(2)=2, Add (1,2)=14 Succeeded, w=32\",\"Find(1)=0, Find(3)=3, Add (1,3)=19 Succeeded, w=51\",\"Find(0)=0, Find(3)=0, Add (0,3)=27 Failed, w=51\",\"Find(2)=0, Find(4)=0, Add (2,4)=29 Failed, w=51\",\"Find(4)=0, Find(5)=0, Add (4,5)=29 Failed, w=51\",\"Find(1)=0, Find(6)=0, Add (1,6)=31 Failed, w=51\",\"Find(0)=0, Find(5)=0, Add (0,5)=33 Failed, w=51\",\"Find(2)=0, Find(6)=0, Add (2,6)=47 Failed, w=51\",\"Find(5)=0, Find(6)=0, Add (5,6)=51 Failed, w=51\",\"Find(0)=0, Find(6)=0, Add (0,6)=59 Failed, w=51\",\"Find(0)=0, Find(4)=0, Add (0,4)=72 Failed, w=51\",\"Find(1)=0, Find(5)=0, Add (1,5)=79 Failed, w=51\",\"Find(0)=0, Find(2)=0, Add (0,2)=83 Failed, w=51\"],\"Answer\":51}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,2,83],[0,3,27],[0,4,72],[0,5,33],[0,6,59],[1,2,14],[1,3,19],[1,5,79],[1,6,31],[2,4,29],[2,5,9],[2,6,47],[3,4,0],[4,5,29],[4,6,3],[5,6,51]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=0,(4,6)=3,(0,1)=6,(2,5)=9,(1,2)=14,(1,3)=19,(0,3)=27,(2,4)=29,(4,5)=29,(1,6)=31,(0,5)=33,(2,6)=47,(5,6)=51,(0,6)=59,(0,4)=72,(1,5)=79,(0,2)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3}, Find(4)=3, Find(6)=6, Add (4,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 2, 6: 3}, Find(2)=2, Find(5)=5, Add (2,5)=9 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 2, 6: 3}, Find(1)=0, Find(2)=2, Add (1,2)=14 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 2, 6: 3}, Find(1)=0, Find(3)=3, Add (1,3)=19 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 2, 6: 3}, Find(0)=0, Find(3)=0, Add (0,3)=27 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 3}, Find(2)=0, Find(4)=0, Add (2,4)=29 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(4)=0, Find(5)=0, Add (4,5)=29 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=31 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=33 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=47 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=51 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=59 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=72 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=79 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=83 Failed, w=51\"],\"Answer\":51}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,69],[0,2,95],[0,3,93],[0,4,91],[0,5,83],[1,2,90],[1,3,77],[1,4,59],[1,5,76],[2,3,11],[2,5,46],[3,4,64],[3,5,9],[4,5,51]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,69],[0,2,95],[0,3,93],[0,4,91],[0,5,83],[1,2,90],[1,3,77],[1,4,59],[1,5,76],[2,3,11],[2,5,46],[3,4,64],[3,5,9],[4,5,51]]}", "role": "user" }, { "content": "{\"Answer\":199}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,69],[0,2,95],[0,3,93],[0,4,91],[0,5,83],[1,2,90],[1,3,77],[1,4,59],[1,5,76],[2,3,11],[2,5,46],[3,4,64],[3,5,9],[4,5,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)\",\"Add (2,3)\",\"Add (4,5)\",\"Add (1,4)\",\"Add (0,1)\"],\"Answer\":199}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,69],[0,2,95],[0,3,93],[0,4,91],[0,5,83],[1,2,90],[1,3,77],[1,4,59],[1,5,76],[2,3,11],[2,5,46],[3,4,64],[3,5,9],[4,5,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=9, w=9\",\"Add (2,3)=11, w=20\",\"Add (4,5)=51, w=71\",\"Add (1,4)=59, w=130\",\"Add (0,1)=69, w=199\"],\"Answer\":199}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,69],[0,2,95],[0,3,93],[0,4,91],[0,5,83],[1,2,90],[1,3,77],[1,4,59],[1,5,76],[2,3,11],[2,5,46],[3,4,64],[3,5,9],[4,5,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=9 Succeeded, w=9\",\"Add (2,3)=11 Succeeded, w=20\",\"Add (2,5)=46 Failed, w=20\",\"Add (4,5)=51 Succeeded, w=71\",\"Add (1,4)=59 Succeeded, w=130\",\"Add (3,4)=64 Failed, w=130\",\"Add (0,1)=69 Succeeded, w=199\",\"Add (1,5)=76 Failed, w=199\",\"Add (1,3)=77 Failed, w=199\",\"Add (0,5)=83 Failed, w=199\",\"Add (1,2)=90 Failed, w=199\",\"Add (0,4)=91 Failed, w=199\",\"Add (0,3)=93 Failed, w=199\",\"Add (0,2)=95 Failed, w=199\"],\"Answer\":199}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,69],[0,2,95],[0,3,93],[0,4,91],[0,5,83],[1,2,90],[1,3,77],[1,4,59],[1,5,76],[2,3,11],[2,5,46],[3,4,64],[3,5,9],[4,5,51]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=9,(2,3)=11,(2,5)=46,(4,5)=51,(1,4)=59,(3,4)=64,(0,1)=69,(1,5)=76,(1,3)=77,(0,5)=83,(1,2)=90,(0,4)=91,(0,3)=93,(0,2)=95]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=9 Succeeded, w=9\",\"Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=20\",\"Find(2)=3, Find(5)=3, Add (2,5)=46 Failed, w=20\",\"Find(4)=4, Find(5)=3, Add (4,5)=51 Succeeded, w=71\",\"Find(1)=1, Find(4)=3, Add (1,4)=59 Succeeded, w=130\",\"Find(3)=3, Find(4)=3, Add (3,4)=64 Failed, w=130\",\"Find(0)=0, Find(1)=3, Add (0,1)=69 Succeeded, w=199\",\"Find(1)=3, Find(5)=3, Add (1,5)=76 Failed, w=199\",\"Find(1)=3, Find(3)=3, Add (1,3)=77 Failed, w=199\",\"Find(0)=3, Find(5)=3, Add (0,5)=83 Failed, w=199\",\"Find(1)=3, Find(2)=3, Add (1,2)=90 Failed, w=199\",\"Find(0)=3, Find(4)=3, Add (0,4)=91 Failed, w=199\",\"Find(0)=3, Find(3)=3, Add (0,3)=93 Failed, w=199\",\"Find(0)=3, Find(2)=3, Add (0,2)=95 Failed, w=199\"],\"Answer\":199}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,69],[0,2,95],[0,3,93],[0,4,91],[0,5,83],[1,2,90],[1,3,77],[1,4,59],[1,5,76],[2,3,11],[2,5,46],[3,4,64],[3,5,9],[4,5,51]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=9,(2,3)=11,(2,5)=46,(4,5)=51,(1,4)=59,(3,4)=64,(0,1)=69,(1,5)=76,(1,3)=77,(0,5)=83,(1,2)=90,(0,4)=91,(0,3)=93,(0,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3}, Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=46 Failed, w=20\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=4, Find(5)=3, Add (4,5)=51 Succeeded, w=71\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=1, Find(4)=3, Add (1,4)=59 Succeeded, w=130\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(4)=3, Add (3,4)=64 Failed, w=130\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=0, Find(1)=3, Add (0,1)=69 Succeeded, w=199\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=76 Failed, w=199\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(3)=3, Add (1,3)=77 Failed, w=199\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=83 Failed, w=199\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(2)=3, Add (1,2)=90 Failed, w=199\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=91 Failed, w=199\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(3)=3, Add (0,3)=93 Failed, w=199\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=95 Failed, w=199\"],\"Answer\":199}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,65],[0,3,67],[0,4,18],[0,5,80],[0,6,18],[1,2,20],[1,3,89],[1,4,34],[1,5,30],[1,6,1],[2,4,38],[2,5,40],[2,6,60],[3,4,100],[3,5,38],[3,6,37],[4,5,93],[4,6,1],[5,6,68]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,65],[0,3,67],[0,4,18],[0,5,80],[0,6,18],[1,2,20],[1,3,89],[1,4,34],[1,5,30],[1,6,1],[2,4,38],[2,5,40],[2,6,60],[3,4,100],[3,5,38],[3,6,37],[4,5,93],[4,6,1],[5,6,68]]}", "role": "user" }, { "content": "{\"Answer\":107}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,65],[0,3,67],[0,4,18],[0,5,80],[0,6,18],[1,2,20],[1,3,89],[1,4,34],[1,5,30],[1,6,1],[2,4,38],[2,5,40],[2,6,60],[3,4,100],[3,5,38],[3,6,37],[4,5,93],[4,6,1],[5,6,68]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,6)\",\"Add (4,6)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (1,5)\",\"Add (3,6)\"],\"Answer\":107}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,65],[0,3,67],[0,4,18],[0,5,80],[0,6,18],[1,2,20],[1,3,89],[1,4,34],[1,5,30],[1,6,1],[2,4,38],[2,5,40],[2,6,60],[3,4,100],[3,5,38],[3,6,37],[4,5,93],[4,6,1],[5,6,68]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,6)=1, w=1\",\"Add (4,6)=1, w=2\",\"Add (0,4)=18, w=20\",\"Add (1,2)=20, w=40\",\"Add (1,5)=30, w=70\",\"Add (3,6)=37, w=107\"],\"Answer\":107}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,65],[0,3,67],[0,4,18],[0,5,80],[0,6,18],[1,2,20],[1,3,89],[1,4,34],[1,5,30],[1,6,1],[2,4,38],[2,5,40],[2,6,60],[3,4,100],[3,5,38],[3,6,37],[4,5,93],[4,6,1],[5,6,68]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,6)=1 Succeeded, w=1\",\"Add (4,6)=1 Succeeded, w=2\",\"Add (0,4)=18 Succeeded, w=20\",\"Add (0,6)=18 Failed, w=20\",\"Add (1,2)=20 Succeeded, w=40\",\"Add (1,5)=30 Succeeded, w=70\",\"Add (1,4)=34 Failed, w=70\",\"Add (3,6)=37 Succeeded, w=107\",\"Add (2,4)=38 Failed, w=107\",\"Add (3,5)=38 Failed, w=107\",\"Add (2,5)=40 Failed, w=107\",\"Add (2,6)=60 Failed, w=107\",\"Add (0,2)=65 Failed, w=107\",\"Add (0,3)=67 Failed, w=107\",\"Add (5,6)=68 Failed, w=107\",\"Add (0,5)=80 Failed, w=107\",\"Add (1,3)=89 Failed, w=107\",\"Add (4,5)=93 Failed, w=107\",\"Add (3,4)=100 Failed, w=107\"],\"Answer\":107}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,65],[0,3,67],[0,4,18],[0,5,80],[0,6,18],[1,2,20],[1,3,89],[1,4,34],[1,5,30],[1,6,1],[2,4,38],[2,5,40],[2,6,60],[3,4,100],[3,5,38],[3,6,37],[4,5,93],[4,6,1],[5,6,68]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,6)=1,(4,6)=1,(0,4)=18,(0,6)=18,(1,2)=20,(1,5)=30,(1,4)=34,(3,6)=37,(2,4)=38,(3,5)=38,(2,5)=40,(2,6)=60,(0,2)=65,(0,3)=67,(5,6)=68,(0,5)=80,(1,3)=89,(4,5)=93,(3,4)=100]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=1 Succeeded, w=1\",\"Find(4)=4, Find(6)=1, Add (4,6)=1 Succeeded, w=2\",\"Find(0)=0, Find(4)=1, Add (0,4)=18 Succeeded, w=20\",\"Find(0)=1, Find(6)=1, Add (0,6)=18 Failed, w=20\",\"Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=40\",\"Find(1)=1, Find(5)=5, Add (1,5)=30 Succeeded, w=70\",\"Find(1)=1, Find(4)=1, Add (1,4)=34 Failed, w=70\",\"Find(3)=3, Find(6)=1, Add (3,6)=37 Succeeded, w=107\",\"Find(2)=1, Find(4)=1, Add (2,4)=38 Failed, w=107\",\"Find(3)=1, Find(5)=1, Add (3,5)=38 Failed, w=107\",\"Find(2)=1, Find(5)=1, Add (2,5)=40 Failed, w=107\",\"Find(2)=1, Find(6)=1, Add (2,6)=60 Failed, w=107\",\"Find(0)=1, Find(2)=1, Add (0,2)=65 Failed, w=107\",\"Find(0)=1, Find(3)=1, Add (0,3)=67 Failed, w=107\",\"Find(5)=1, Find(6)=1, Add (5,6)=68 Failed, w=107\",\"Find(0)=1, Find(5)=1, Add (0,5)=80 Failed, w=107\",\"Find(1)=1, Find(3)=1, Add (1,3)=89 Failed, w=107\",\"Find(4)=1, Find(5)=1, Add (4,5)=93 Failed, w=107\",\"Find(3)=1, Find(4)=1, Add (3,4)=100 Failed, w=107\"],\"Answer\":107}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,65],[0,3,67],[0,4,18],[0,5,80],[0,6,18],[1,2,20],[1,3,89],[1,4,34],[1,5,30],[1,6,1],[2,4,38],[2,5,40],[2,6,60],[3,4,100],[3,5,38],[3,6,37],[4,5,93],[4,6,1],[5,6,68]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,6)=1,(4,6)=1,(0,4)=18,(0,6)=18,(1,2)=20,(1,5)=30,(1,4)=34,(3,6)=37,(2,4)=38,(3,5)=38,(2,5)=40,(2,6)=60,(0,2)=65,(0,3)=67,(5,6)=68,(0,5)=80,(1,3)=89,(4,5)=93,(3,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 1}, Find(4)=4, Find(6)=1, Add (4,6)=1 Succeeded, w=2\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 1}, Find(0)=0, Find(4)=1, Add (0,4)=18 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=18 Failed, w=20\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1}, Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=5, Add (1,5)=30 Succeeded, w=70\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=34 Failed, w=70\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=3, Find(6)=1, Add (3,6)=37 Succeeded, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=38 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=38 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=40 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=60 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=65 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=67 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=68 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=80 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=89 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=93 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=100 Failed, w=107\"],\"Answer\":107}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,71],[0,3,34],[1,2,46],[1,3,15]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,3,34],[1,2,46],[1,3,15]]}", "role": "user" }, { "content": "{\"Answer\":95}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,3,34],[1,2,46],[1,3,15]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":95}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,3,34],[1,2,46],[1,3,15]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=15, w=15\",\"Add (0,3)=34, w=49\",\"Add (1,2)=46, w=95\"],\"Answer\":95}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,3,34],[1,2,46],[1,3,15]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=15 Succeeded, w=15\",\"Add (0,3)=34 Succeeded, w=49\",\"Add (1,2)=46 Succeeded, w=95\",\"Add (0,1)=71 Failed, w=95\"],\"Answer\":95}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,3,34],[1,2,46],[1,3,15]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=15,(0,3)=34,(1,2)=46,(0,1)=71]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=15\",\"Find(0)=0, Find(3)=1, Add (0,3)=34 Succeeded, w=49\",\"Find(1)=1, Find(2)=2, Add (1,2)=46 Succeeded, w=95\",\"Find(0)=1, Find(1)=1, Add (0,1)=71 Failed, w=95\"],\"Answer\":95}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,3,34],[1,2,46],[1,3,15]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=15,(0,3)=34,(1,2)=46,(0,1)=71]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=15\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=34 Succeeded, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=46 Succeeded, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=71 Failed, w=95\"],\"Answer\":95}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,10],[0,2,53],[0,4,43],[0,5,90],[1,2,62],[1,3,55],[1,4,99],[1,5,12],[2,3,29],[3,4,15],[3,5,8],[4,5,26]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,53],[0,4,43],[0,5,90],[1,2,62],[1,3,55],[1,4,99],[1,5,12],[2,3,29],[3,4,15],[3,5,8],[4,5,26]]}", "role": "user" }, { "content": "{\"Answer\":74}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,53],[0,4,43],[0,5,90],[1,2,62],[1,3,55],[1,4,99],[1,5,12],[2,3,29],[3,4,15],[3,5,8],[4,5,26]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)\",\"Add (0,1)\",\"Add (1,5)\",\"Add (3,4)\",\"Add (2,3)\"],\"Answer\":74}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,53],[0,4,43],[0,5,90],[1,2,62],[1,3,55],[1,4,99],[1,5,12],[2,3,29],[3,4,15],[3,5,8],[4,5,26]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=8, w=8\",\"Add (0,1)=10, w=18\",\"Add (1,5)=12, w=30\",\"Add (3,4)=15, w=45\",\"Add (2,3)=29, w=74\"],\"Answer\":74}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,53],[0,4,43],[0,5,90],[1,2,62],[1,3,55],[1,4,99],[1,5,12],[2,3,29],[3,4,15],[3,5,8],[4,5,26]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=8 Succeeded, w=8\",\"Add (0,1)=10 Succeeded, w=18\",\"Add (1,5)=12 Succeeded, w=30\",\"Add (3,4)=15 Succeeded, w=45\",\"Add (4,5)=26 Failed, w=45\",\"Add (2,3)=29 Succeeded, w=74\",\"Add (0,4)=43 Failed, w=74\",\"Add (0,2)=53 Failed, w=74\",\"Add (1,3)=55 Failed, w=74\",\"Add (1,2)=62 Failed, w=74\",\"Add (0,5)=90 Failed, w=74\",\"Add (1,4)=99 Failed, w=74\"],\"Answer\":74}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,53],[0,4,43],[0,5,90],[1,2,62],[1,3,55],[1,4,99],[1,5,12],[2,3,29],[3,4,15],[3,5,8],[4,5,26]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=8,(0,1)=10,(1,5)=12,(3,4)=15,(4,5)=26,(2,3)=29,(0,4)=43,(0,2)=53,(1,3)=55,(1,2)=62,(0,5)=90,(1,4)=99]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=8 Succeeded, w=8\",\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=18\",\"Find(1)=0, Find(5)=3, Add (1,5)=12 Succeeded, w=30\",\"Find(3)=0, Find(4)=4, Add (3,4)=15 Succeeded, w=45\",\"Find(4)=0, Find(5)=0, Add (4,5)=26 Failed, w=45\",\"Find(2)=2, Find(3)=0, Add (2,3)=29 Succeeded, w=74\",\"Find(0)=0, Find(4)=0, Add (0,4)=43 Failed, w=74\",\"Find(0)=0, Find(2)=0, Add (0,2)=53 Failed, w=74\",\"Find(1)=0, Find(3)=0, Add (1,3)=55 Failed, w=74\",\"Find(1)=0, Find(2)=0, Add (1,2)=62 Failed, w=74\",\"Find(0)=0, Find(5)=0, Add (0,5)=90 Failed, w=74\",\"Find(1)=0, Find(4)=0, Add (1,4)=99 Failed, w=74\"],\"Answer\":74}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,53],[0,4,43],[0,5,90],[1,2,62],[1,3,55],[1,4,99],[1,5,12],[2,3,29],[3,4,15],[3,5,8],[4,5,26]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=8,(0,1)=10,(1,5)=12,(3,4)=15,(4,5)=26,(2,3)=29,(0,4)=43,(0,2)=53,(1,3)=55,(1,2)=62,(0,5)=90,(1,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 3}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 3}, Find(1)=0, Find(5)=3, Add (1,5)=12 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 3}, Find(3)=0, Find(4)=4, Add (3,4)=15 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=26 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(3)=0, Add (2,3)=29 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=43 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=53 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=55 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=62 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=90 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=99 Failed, w=74\"],\"Answer\":74}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,75],[0,3,31],[0,4,20],[0,5,84],[0,6,64],[1,2,51],[1,3,8],[1,4,49],[1,5,57],[1,6,65],[2,3,11],[2,4,6],[2,5,75],[2,6,68],[3,4,92],[3,6,84],[4,5,52],[4,6,37],[5,6,24]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,75],[0,3,31],[0,4,20],[0,5,84],[0,6,64],[1,2,51],[1,3,8],[1,4,49],[1,5,57],[1,6,65],[2,3,11],[2,4,6],[2,5,75],[2,6,68],[3,4,92],[3,6,84],[4,5,52],[4,6,37],[5,6,24]]}", "role": "user" }, { "content": "{\"Answer\":106}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,75],[0,3,31],[0,4,20],[0,5,84],[0,6,64],[1,2,51],[1,3,8],[1,4,49],[1,5,57],[1,6,65],[2,3,11],[2,4,6],[2,5,75],[2,6,68],[3,4,92],[3,6,84],[4,5,52],[4,6,37],[5,6,24]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (0,4)\",\"Add (5,6)\",\"Add (4,6)\"],\"Answer\":106}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,75],[0,3,31],[0,4,20],[0,5,84],[0,6,64],[1,2,51],[1,3,8],[1,4,49],[1,5,57],[1,6,65],[2,3,11],[2,4,6],[2,5,75],[2,6,68],[3,4,92],[3,6,84],[4,5,52],[4,6,37],[5,6,24]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=6, w=6\",\"Add (1,3)=8, w=14\",\"Add (2,3)=11, w=25\",\"Add (0,4)=20, w=45\",\"Add (5,6)=24, w=69\",\"Add (4,6)=37, w=106\"],\"Answer\":106}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,75],[0,3,31],[0,4,20],[0,5,84],[0,6,64],[1,2,51],[1,3,8],[1,4,49],[1,5,57],[1,6,65],[2,3,11],[2,4,6],[2,5,75],[2,6,68],[3,4,92],[3,6,84],[4,5,52],[4,6,37],[5,6,24]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=6 Succeeded, w=6\",\"Add (1,3)=8 Succeeded, w=14\",\"Add (2,3)=11 Succeeded, w=25\",\"Add (0,4)=20 Succeeded, w=45\",\"Add (5,6)=24 Succeeded, w=69\",\"Add (0,3)=31 Failed, w=69\",\"Add (4,6)=37 Succeeded, w=106\",\"Add (1,4)=49 Failed, w=106\",\"Add (1,2)=51 Failed, w=106\",\"Add (4,5)=52 Failed, w=106\",\"Add (1,5)=57 Failed, w=106\",\"Add (0,6)=64 Failed, w=106\",\"Add (1,6)=65 Failed, w=106\",\"Add (2,6)=68 Failed, w=106\",\"Add (0,2)=75 Failed, w=106\",\"Add (2,5)=75 Failed, w=106\",\"Add (0,5)=84 Failed, w=106\",\"Add (3,6)=84 Failed, w=106\",\"Add (3,4)=92 Failed, w=106\"],\"Answer\":106}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,75],[0,3,31],[0,4,20],[0,5,84],[0,6,64],[1,2,51],[1,3,8],[1,4,49],[1,5,57],[1,6,65],[2,3,11],[2,4,6],[2,5,75],[2,6,68],[3,4,92],[3,6,84],[4,5,52],[4,6,37],[5,6,24]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=6,(1,3)=8,(2,3)=11,(0,4)=20,(5,6)=24,(0,3)=31,(4,6)=37,(1,4)=49,(1,2)=51,(4,5)=52,(1,5)=57,(0,6)=64,(1,6)=65,(2,6)=68,(0,2)=75,(2,5)=75,(0,5)=84,(3,6)=84,(3,4)=92]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=14\",\"Find(2)=2, Find(3)=1, Add (2,3)=11 Succeeded, w=25\",\"Find(0)=0, Find(4)=2, Add (0,4)=20 Succeeded, w=45\",\"Find(5)=5, Find(6)=6, Add (5,6)=24 Succeeded, w=69\",\"Find(0)=2, Find(3)=2, Add (0,3)=31 Failed, w=69\",\"Find(4)=2, Find(6)=5, Add (4,6)=37 Succeeded, w=106\",\"Find(1)=2, Find(4)=2, Add (1,4)=49 Failed, w=106\",\"Find(1)=2, Find(2)=2, Add (1,2)=51 Failed, w=106\",\"Find(4)=2, Find(5)=2, Add (4,5)=52 Failed, w=106\",\"Find(1)=2, Find(5)=2, Add (1,5)=57 Failed, w=106\",\"Find(0)=2, Find(6)=2, Add (0,6)=64 Failed, w=106\",\"Find(1)=2, Find(6)=2, Add (1,6)=65 Failed, w=106\",\"Find(2)=2, Find(6)=2, Add (2,6)=68 Failed, w=106\",\"Find(0)=2, Find(2)=2, Add (0,2)=75 Failed, w=106\",\"Find(2)=2, Find(5)=2, Add (2,5)=75 Failed, w=106\",\"Find(0)=2, Find(5)=2, Add (0,5)=84 Failed, w=106\",\"Find(3)=2, Find(6)=2, Add (3,6)=84 Failed, w=106\",\"Find(3)=2, Find(4)=2, Add (3,4)=92 Failed, w=106\"],\"Answer\":106}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,75],[0,3,31],[0,4,20],[0,5,84],[0,6,64],[1,2,51],[1,3,8],[1,4,49],[1,5,57],[1,6,65],[2,3,11],[2,4,6],[2,5,75],[2,6,68],[3,4,92],[3,6,84],[4,5,52],[4,6,37],[5,6,24]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=6,(1,3)=8,(2,3)=11,(0,4)=20,(5,6)=24,(0,3)=31,(4,6)=37,(1,4)=49,(1,2)=51,(4,5)=52,(1,5)=57,(0,6)=64,(1,6)=65,(2,6)=68,(0,2)=75,(2,5)=75,(0,5)=84,(3,6)=84,(3,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(3)=1, Add (2,3)=11 Succeeded, w=25\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 5, 6: 6}, Find(0)=0, Find(4)=2, Add (0,4)=20 Succeeded, w=45\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=24 Succeeded, w=69\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 5}, Find(0)=2, Find(3)=2, Add (0,3)=31 Failed, w=69\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5}, Find(4)=2, Find(6)=5, Add (4,6)=37 Succeeded, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5}, Find(1)=2, Find(4)=2, Add (1,4)=49 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5}, Find(1)=2, Find(2)=2, Add (1,2)=51 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5}, Find(4)=2, Find(5)=2, Add (4,5)=52 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5}, Find(1)=2, Find(5)=2, Add (1,5)=57 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=64 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=65 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=68 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=75 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=75 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=84 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=84 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=92 Failed, w=106\"],\"Answer\":106}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,60],[0,2,73],[0,4,72],[0,5,92],[1,2,64],[1,3,1],[1,4,49],[1,5,70],[2,3,55],[2,4,75],[2,5,2],[3,4,12]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,73],[0,4,72],[0,5,92],[1,2,64],[1,3,1],[1,4,49],[1,5,70],[2,3,55],[2,4,75],[2,5,2],[3,4,12]]}", "role": "user" }, { "content": "{\"Answer\":130}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,73],[0,4,72],[0,5,92],[1,2,64],[1,3,1],[1,4,49],[1,5,70],[2,3,55],[2,4,75],[2,5,2],[3,4,12]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (2,5)\",\"Add (3,4)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":130}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,73],[0,4,72],[0,5,92],[1,2,64],[1,3,1],[1,4,49],[1,5,70],[2,3,55],[2,4,75],[2,5,2],[3,4,12]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=1, w=1\",\"Add (2,5)=2, w=3\",\"Add (3,4)=12, w=15\",\"Add (2,3)=55, w=70\",\"Add (0,1)=60, w=130\"],\"Answer\":130}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,73],[0,4,72],[0,5,92],[1,2,64],[1,3,1],[1,4,49],[1,5,70],[2,3,55],[2,4,75],[2,5,2],[3,4,12]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=1 Succeeded, w=1\",\"Add (2,5)=2 Succeeded, w=3\",\"Add (3,4)=12 Succeeded, w=15\",\"Add (1,4)=49 Failed, w=15\",\"Add (2,3)=55 Succeeded, w=70\",\"Add (0,1)=60 Succeeded, w=130\",\"Add (1,2)=64 Failed, w=130\",\"Add (1,5)=70 Failed, w=130\",\"Add (0,4)=72 Failed, w=130\",\"Add (0,2)=73 Failed, w=130\",\"Add (2,4)=75 Failed, w=130\",\"Add (0,5)=92 Failed, w=130\"],\"Answer\":130}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,73],[0,4,72],[0,5,92],[1,2,64],[1,3,1],[1,4,49],[1,5,70],[2,3,55],[2,4,75],[2,5,2],[3,4,12]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=1,(2,5)=2,(3,4)=12,(1,4)=49,(2,3)=55,(0,1)=60,(1,2)=64,(1,5)=70,(0,4)=72,(0,2)=73,(2,4)=75,(0,5)=92]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=3\",\"Find(3)=1, Find(4)=4, Add (3,4)=12 Succeeded, w=15\",\"Find(1)=1, Find(4)=1, Add (1,4)=49 Failed, w=15\",\"Find(2)=2, Find(3)=1, Add (2,3)=55 Succeeded, w=70\",\"Find(0)=0, Find(1)=2, Add (0,1)=60 Succeeded, w=130\",\"Find(1)=2, Find(2)=2, Add (1,2)=64 Failed, w=130\",\"Find(1)=2, Find(5)=2, Add (1,5)=70 Failed, w=130\",\"Find(0)=2, Find(4)=2, Add (0,4)=72 Failed, w=130\",\"Find(0)=2, Find(2)=2, Add (0,2)=73 Failed, w=130\",\"Find(2)=2, Find(4)=2, Add (2,4)=75 Failed, w=130\",\"Find(0)=2, Find(5)=2, Add (0,5)=92 Failed, w=130\"],\"Answer\":130}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,73],[0,4,72],[0,5,92],[1,2,64],[1,3,1],[1,4,49],[1,5,70],[2,3,55],[2,4,75],[2,5,2],[3,4,12]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=1,(2,5)=2,(3,4)=12,(1,4)=49,(2,3)=55,(0,1)=60,(1,2)=64,(1,5)=70,(0,4)=72,(0,2)=73,(2,4)=75,(0,5)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2}, Find(3)=1, Find(4)=4, Add (3,4)=12 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2}, Find(1)=1, Find(4)=1, Add (1,4)=49 Failed, w=15\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 1, 5: 2}, Find(2)=2, Find(3)=1, Add (2,3)=55 Succeeded, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 1, 5: 2}, Find(0)=0, Find(1)=2, Add (0,1)=60 Succeeded, w=130\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 1, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=64 Failed, w=130\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 1, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=70 Failed, w=130\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=72 Failed, w=130\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=73 Failed, w=130\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=75 Failed, w=130\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=92 Failed, w=130\"],\"Answer\":130}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,53],[0,2,91],[0,4,59],[0,5,64],[1,2,10],[1,4,100],[1,5,76],[2,5,34],[3,4,44],[4,5,94]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,2,91],[0,4,59],[0,5,64],[1,2,10],[1,4,100],[1,5,76],[2,5,34],[3,4,44],[4,5,94]]}", "role": "user" }, { "content": "{\"Answer\":200}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,2,91],[0,4,59],[0,5,64],[1,2,10],[1,4,100],[1,5,76],[2,5,34],[3,4,44],[4,5,94]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (2,5)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (0,4)\"],\"Answer\":200}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,2,91],[0,4,59],[0,5,64],[1,2,10],[1,4,100],[1,5,76],[2,5,34],[3,4,44],[4,5,94]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=10, w=10\",\"Add (2,5)=34, w=44\",\"Add (3,4)=44, w=88\",\"Add (0,1)=53, w=141\",\"Add (0,4)=59, w=200\"],\"Answer\":200}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,2,91],[0,4,59],[0,5,64],[1,2,10],[1,4,100],[1,5,76],[2,5,34],[3,4,44],[4,5,94]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=10 Succeeded, w=10\",\"Add (2,5)=34 Succeeded, w=44\",\"Add (3,4)=44 Succeeded, w=88\",\"Add (0,1)=53 Succeeded, w=141\",\"Add (0,4)=59 Succeeded, w=200\",\"Add (0,5)=64 Failed, w=200\",\"Add (1,5)=76 Failed, w=200\",\"Add (0,2)=91 Failed, w=200\",\"Add (4,5)=94 Failed, w=200\",\"Add (1,4)=100 Failed, w=200\"],\"Answer\":200}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,2,91],[0,4,59],[0,5,64],[1,2,10],[1,4,100],[1,5,76],[2,5,34],[3,4,44],[4,5,94]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=10,(2,5)=34,(3,4)=44,(0,1)=53,(0,4)=59,(0,5)=64,(1,5)=76,(0,2)=91,(4,5)=94,(1,4)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Find(2)=1, Find(5)=5, Add (2,5)=34 Succeeded, w=44\",\"Find(3)=3, Find(4)=4, Add (3,4)=44 Succeeded, w=88\",\"Find(0)=0, Find(1)=1, Add (0,1)=53 Succeeded, w=141\",\"Find(0)=1, Find(4)=3, Add (0,4)=59 Succeeded, w=200\",\"Find(0)=1, Find(5)=1, Add (0,5)=64 Failed, w=200\",\"Find(1)=1, Find(5)=1, Add (1,5)=76 Failed, w=200\",\"Find(0)=1, Find(2)=1, Add (0,2)=91 Failed, w=200\",\"Find(4)=1, Find(5)=1, Add (4,5)=94 Failed, w=200\",\"Find(1)=1, Find(4)=1, Add (1,4)=100 Failed, w=200\"],\"Answer\":200}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,2,91],[0,4,59],[0,5,64],[1,2,10],[1,4,100],[1,5,76],[2,5,34],[3,4,44],[4,5,94]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=10,(2,5)=34,(3,4)=44,(0,1)=53,(0,4)=59,(0,5)=64,(1,5)=76,(0,2)=91,(4,5)=94,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1}, Find(2)=1, Find(5)=5, Add (2,5)=34 Succeeded, w=44\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 1}, Find(3)=3, Find(4)=4, Add (3,4)=44 Succeeded, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=53 Succeeded, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1}, Find(0)=1, Find(4)=3, Add (0,4)=59 Succeeded, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=64 Failed, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=76 Failed, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=91 Failed, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=94 Failed, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=100 Failed, w=200\"],\"Answer\":200}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,53],[0,2,6],[0,3,20],[0,4,33],[0,5,51],[1,2,9],[1,4,100],[1,5,15],[2,3,72],[2,4,71],[2,5,75],[3,5,98],[4,5,66]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,2,6],[0,3,20],[0,4,33],[0,5,51],[1,2,9],[1,4,100],[1,5,15],[2,3,72],[2,4,71],[2,5,75],[3,5,98],[4,5,66]]}", "role": "user" }, { "content": "{\"Answer\":83}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,2,6],[0,3,20],[0,4,33],[0,5,51],[1,2,9],[1,4,100],[1,5,15],[2,3,72],[2,4,71],[2,5,75],[3,5,98],[4,5,66]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (1,5)\",\"Add (0,3)\",\"Add (0,4)\"],\"Answer\":83}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,2,6],[0,3,20],[0,4,33],[0,5,51],[1,2,9],[1,4,100],[1,5,15],[2,3,72],[2,4,71],[2,5,75],[3,5,98],[4,5,66]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=6, w=6\",\"Add (1,2)=9, w=15\",\"Add (1,5)=15, w=30\",\"Add (0,3)=20, w=50\",\"Add (0,4)=33, w=83\"],\"Answer\":83}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,2,6],[0,3,20],[0,4,33],[0,5,51],[1,2,9],[1,4,100],[1,5,15],[2,3,72],[2,4,71],[2,5,75],[3,5,98],[4,5,66]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=6 Succeeded, w=6\",\"Add (1,2)=9 Succeeded, w=15\",\"Add (1,5)=15 Succeeded, w=30\",\"Add (0,3)=20 Succeeded, w=50\",\"Add (0,4)=33 Succeeded, w=83\",\"Add (0,5)=51 Failed, w=83\",\"Add (0,1)=53 Failed, w=83\",\"Add (4,5)=66 Failed, w=83\",\"Add (2,4)=71 Failed, w=83\",\"Add (2,3)=72 Failed, w=83\",\"Add (2,5)=75 Failed, w=83\",\"Add (3,5)=98 Failed, w=83\",\"Add (1,4)=100 Failed, w=83\"],\"Answer\":83}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,2,6],[0,3,20],[0,4,33],[0,5,51],[1,2,9],[1,4,100],[1,5,15],[2,3,72],[2,4,71],[2,5,75],[3,5,98],[4,5,66]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=6,(1,2)=9,(1,5)=15,(0,3)=20,(0,4)=33,(0,5)=51,(0,1)=53,(4,5)=66,(2,4)=71,(2,3)=72,(2,5)=75,(3,5)=98,(1,4)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Find(1)=1, Find(2)=0, Add (1,2)=9 Succeeded, w=15\",\"Find(1)=0, Find(5)=5, Add (1,5)=15 Succeeded, w=30\",\"Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=50\",\"Find(0)=0, Find(4)=4, Add (0,4)=33 Succeeded, w=83\",\"Find(0)=0, Find(5)=0, Add (0,5)=51 Failed, w=83\",\"Find(0)=0, Find(1)=0, Add (0,1)=53 Failed, w=83\",\"Find(4)=0, Find(5)=0, Add (4,5)=66 Failed, w=83\",\"Find(2)=0, Find(4)=0, Add (2,4)=71 Failed, w=83\",\"Find(2)=0, Find(3)=0, Add (2,3)=72 Failed, w=83\",\"Find(2)=0, Find(5)=0, Add (2,5)=75 Failed, w=83\",\"Find(3)=0, Find(5)=0, Add (3,5)=98 Failed, w=83\",\"Find(1)=0, Find(4)=0, Add (1,4)=100 Failed, w=83\"],\"Answer\":83}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,2,6],[0,3,20],[0,4,33],[0,5,51],[1,2,9],[1,4,100],[1,5,15],[2,3,72],[2,4,71],[2,5,75],[3,5,98],[4,5,66]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=6,(1,2)=9,(1,5)=15,(0,3)=20,(0,4)=33,(0,5)=51,(0,1)=53,(4,5)=66,(2,4)=71,(2,3)=72,(2,5)=75,(3,5)=98,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=0, Add (1,2)=9 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=15 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=4, Add (0,4)=33 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=51 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=53 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=66 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=71 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=72 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=75 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=98 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=100 Failed, w=83\"],\"Answer\":83}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,15],[1,2,67]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[1,2,67]]}", "role": "user" }, { "content": "{\"Answer\":82}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[1,2,67]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":82}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[1,2,67]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=15, w=15\",\"Add (1,2)=67, w=82\"],\"Answer\":82}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[1,2,67]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=15 Succeeded, w=15\",\"Add (1,2)=67 Succeeded, w=82\"],\"Answer\":82}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[1,2,67]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=15,(1,2)=67]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=15\",\"Find(1)=0, Find(2)=2, Add (1,2)=67 Succeeded, w=82\"],\"Answer\":82}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[1,2,67]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=15,(1,2)=67]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=2, Add (1,2)=67 Succeeded, w=82\"],\"Answer\":82}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,61],[0,2,33],[0,3,63],[0,4,87],[1,2,99],[1,3,0],[2,3,9],[3,4,60]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,2,33],[0,3,63],[0,4,87],[1,2,99],[1,3,0],[2,3,9],[3,4,60]]}", "role": "user" }, { "content": "{\"Answer\":102}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,2,33],[0,3,63],[0,4,87],[1,2,99],[1,3,0],[2,3,9],[3,4,60]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (3,4)\"],\"Answer\":102}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,2,33],[0,3,63],[0,4,87],[1,2,99],[1,3,0],[2,3,9],[3,4,60]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (2,3)=9, w=9\",\"Add (0,2)=33, w=42\",\"Add (3,4)=60, w=102\"],\"Answer\":102}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,2,33],[0,3,63],[0,4,87],[1,2,99],[1,3,0],[2,3,9],[3,4,60]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (2,3)=9 Succeeded, w=9\",\"Add (0,2)=33 Succeeded, w=42\",\"Add (3,4)=60 Succeeded, w=102\",\"Add (0,1)=61 Failed, w=102\",\"Add (0,3)=63 Failed, w=102\",\"Add (0,4)=87 Failed, w=102\",\"Add (1,2)=99 Failed, w=102\"],\"Answer\":102}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,2,33],[0,3,63],[0,4,87],[1,2,99],[1,3,0],[2,3,9],[3,4,60]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=0,(2,3)=9,(0,2)=33,(3,4)=60,(0,1)=61,(0,3)=63,(0,4)=87,(1,2)=99]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(2)=2, Find(3)=1, Add (2,3)=9 Succeeded, w=9\",\"Find(0)=0, Find(2)=1, Add (0,2)=33 Succeeded, w=42\",\"Find(3)=1, Find(4)=4, Add (3,4)=60 Succeeded, w=102\",\"Find(0)=1, Find(1)=1, Add (0,1)=61 Failed, w=102\",\"Find(0)=1, Find(3)=1, Add (0,3)=63 Failed, w=102\",\"Find(0)=1, Find(4)=1, Add (0,4)=87 Failed, w=102\",\"Find(1)=1, Find(2)=1, Add (1,2)=99 Failed, w=102\"],\"Answer\":102}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,2,33],[0,3,63],[0,4,87],[1,2,99],[1,3,0],[2,3,9],[3,4,60]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=0,(2,3)=9,(0,2)=33,(3,4)=60,(0,1)=61,(0,3)=63,(0,4)=87,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=2, Find(3)=1, Add (2,3)=9 Succeeded, w=9\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=0, Find(2)=1, Add (0,2)=33 Succeeded, w=42\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=4, Add (3,4)=60 Succeeded, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=61 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=63 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=87 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=99 Failed, w=102\"],\"Answer\":102}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,57],[0,2,54],[0,4,55],[0,5,76],[0,6,21],[1,2,25],[1,3,82],[1,4,87],[1,5,62],[1,6,5],[2,3,7],[2,4,25],[2,5,43],[2,6,1],[3,4,1],[3,5,94],[3,6,58],[4,5,1],[4,6,43],[5,6,41]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,57],[0,2,54],[0,4,55],[0,5,76],[0,6,21],[1,2,25],[1,3,82],[1,4,87],[1,5,62],[1,6,5],[2,3,7],[2,4,25],[2,5,43],[2,6,1],[3,4,1],[3,5,94],[3,6,58],[4,5,1],[4,6,43],[5,6,41]]}", "role": "user" }, { "content": "{\"Answer\":36}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,57],[0,2,54],[0,4,55],[0,5,76],[0,6,21],[1,2,25],[1,3,82],[1,4,87],[1,5,62],[1,6,5],[2,3,7],[2,4,25],[2,5,43],[2,6,1],[3,4,1],[3,5,94],[3,6,58],[4,5,1],[4,6,43],[5,6,41]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,6)\",\"Add (3,4)\",\"Add (4,5)\",\"Add (1,6)\",\"Add (2,3)\",\"Add (0,6)\"],\"Answer\":36}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,57],[0,2,54],[0,4,55],[0,5,76],[0,6,21],[1,2,25],[1,3,82],[1,4,87],[1,5,62],[1,6,5],[2,3,7],[2,4,25],[2,5,43],[2,6,1],[3,4,1],[3,5,94],[3,6,58],[4,5,1],[4,6,43],[5,6,41]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,6)=1, w=1\",\"Add (3,4)=1, w=2\",\"Add (4,5)=1, w=3\",\"Add (1,6)=5, w=8\",\"Add (2,3)=7, w=15\",\"Add (0,6)=21, w=36\"],\"Answer\":36}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,57],[0,2,54],[0,4,55],[0,5,76],[0,6,21],[1,2,25],[1,3,82],[1,4,87],[1,5,62],[1,6,5],[2,3,7],[2,4,25],[2,5,43],[2,6,1],[3,4,1],[3,5,94],[3,6,58],[4,5,1],[4,6,43],[5,6,41]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,6)=1 Succeeded, w=1\",\"Add (3,4)=1 Succeeded, w=2\",\"Add (4,5)=1 Succeeded, w=3\",\"Add (1,6)=5 Succeeded, w=8\",\"Add (2,3)=7 Succeeded, w=15\",\"Add (0,6)=21 Succeeded, w=36\",\"Add (1,2)=25 Failed, w=36\",\"Add (2,4)=25 Failed, w=36\",\"Add (5,6)=41 Failed, w=36\",\"Add (2,5)=43 Failed, w=36\",\"Add (4,6)=43 Failed, w=36\",\"Add (0,2)=54 Failed, w=36\",\"Add (0,4)=55 Failed, w=36\",\"Add (0,1)=57 Failed, w=36\",\"Add (3,6)=58 Failed, w=36\",\"Add (1,5)=62 Failed, w=36\",\"Add (0,5)=76 Failed, w=36\",\"Add (1,3)=82 Failed, w=36\",\"Add (1,4)=87 Failed, w=36\",\"Add (3,5)=94 Failed, w=36\"],\"Answer\":36}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,57],[0,2,54],[0,4,55],[0,5,76],[0,6,21],[1,2,25],[1,3,82],[1,4,87],[1,5,62],[1,6,5],[2,3,7],[2,4,25],[2,5,43],[2,6,1],[3,4,1],[3,5,94],[3,6,58],[4,5,1],[4,6,43],[5,6,41]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,6)=1,(3,4)=1,(4,5)=1,(1,6)=5,(2,3)=7,(0,6)=21,(1,2)=25,(2,4)=25,(5,6)=41,(2,5)=43,(4,6)=43,(0,2)=54,(0,4)=55,(0,1)=57,(3,6)=58,(1,5)=62,(0,5)=76,(1,3)=82,(1,4)=87,(3,5)=94]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=1 Succeeded, w=1\",\"Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=2\",\"Find(4)=3, Find(5)=5, Add (4,5)=1 Succeeded, w=3\",\"Find(1)=1, Find(6)=2, Add (1,6)=5 Succeeded, w=8\",\"Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=15\",\"Find(0)=0, Find(6)=2, Add (0,6)=21 Succeeded, w=36\",\"Find(1)=2, Find(2)=2, Add (1,2)=25 Failed, w=36\",\"Find(2)=2, Find(4)=2, Add (2,4)=25 Failed, w=36\",\"Find(5)=2, Find(6)=2, Add (5,6)=41 Failed, w=36\",\"Find(2)=2, Find(5)=2, Add (2,5)=43 Failed, w=36\",\"Find(4)=2, Find(6)=2, Add (4,6)=43 Failed, w=36\",\"Find(0)=2, Find(2)=2, Add (0,2)=54 Failed, w=36\",\"Find(0)=2, Find(4)=2, Add (0,4)=55 Failed, w=36\",\"Find(0)=2, Find(1)=2, Add (0,1)=57 Failed, w=36\",\"Find(3)=2, Find(6)=2, Add (3,6)=58 Failed, w=36\",\"Find(1)=2, Find(5)=2, Add (1,5)=62 Failed, w=36\",\"Find(0)=2, Find(5)=2, Add (0,5)=76 Failed, w=36\",\"Find(1)=2, Find(3)=2, Add (1,3)=82 Failed, w=36\",\"Find(1)=2, Find(4)=2, Add (1,4)=87 Failed, w=36\",\"Find(3)=2, Find(5)=2, Add (3,5)=94 Failed, w=36\"],\"Answer\":36}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,57],[0,2,54],[0,4,55],[0,5,76],[0,6,21],[1,2,25],[1,3,82],[1,4,87],[1,5,62],[1,6,5],[2,3,7],[2,4,25],[2,5,43],[2,6,1],[3,4,1],[3,5,94],[3,6,58],[4,5,1],[4,6,43],[5,6,41]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,6)=1,(3,4)=1,(4,5)=1,(1,6)=5,(2,3)=7,(0,6)=21,(1,2)=25,(2,4)=25,(5,6)=41,(2,5)=43,(4,6)=43,(0,2)=54,(0,4)=55,(0,1)=57,(3,6)=58,(1,5)=62,(0,5)=76,(1,3)=82,(1,4)=87,(3,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 2}, Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 2}, Find(4)=3, Find(5)=5, Add (4,5)=1 Succeeded, w=3\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 3, 5: 3, 6: 2}, Find(1)=1, Find(6)=2, Add (1,6)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 3, 5: 3, 6: 2}, Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=15\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 3, 6: 2}, Find(0)=0, Find(6)=2, Add (0,6)=21 Succeeded, w=36\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 3, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=25 Failed, w=36\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=25 Failed, w=36\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=41 Failed, w=36\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=43 Failed, w=36\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=43 Failed, w=36\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=54 Failed, w=36\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=55 Failed, w=36\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=57 Failed, w=36\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=58 Failed, w=36\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=62 Failed, w=36\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=76 Failed, w=36\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=82 Failed, w=36\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=87 Failed, w=36\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=94 Failed, w=36\"],\"Answer\":36}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,19],[0,2,83],[0,3,47],[0,5,32],[0,6,21],[0,7,59],[1,2,23],[1,4,64],[1,6,43],[1,7,66],[2,4,73],[2,5,65],[3,4,29],[3,5,34],[3,7,26],[4,5,10],[4,6,12],[5,6,0],[5,7,98]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,19],[0,2,83],[0,3,47],[0,5,32],[0,6,21],[0,7,59],[1,2,23],[1,4,64],[1,6,43],[1,7,66],[2,4,73],[2,5,65],[3,4,29],[3,5,34],[3,7,26],[4,5,10],[4,6,12],[5,6,0],[5,7,98]]}", "role": "user" }, { "content": "{\"Answer\":128}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,19],[0,2,83],[0,3,47],[0,5,32],[0,6,21],[0,7,59],[1,2,23],[1,4,64],[1,6,43],[1,7,66],[2,4,73],[2,5,65],[3,4,29],[3,5,34],[3,7,26],[4,5,10],[4,6,12],[5,6,0],[5,7,98]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)\",\"Add (4,5)\",\"Add (0,1)\",\"Add (0,6)\",\"Add (1,2)\",\"Add (3,7)\",\"Add (3,4)\"],\"Answer\":128}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,19],[0,2,83],[0,3,47],[0,5,32],[0,6,21],[0,7,59],[1,2,23],[1,4,64],[1,6,43],[1,7,66],[2,4,73],[2,5,65],[3,4,29],[3,5,34],[3,7,26],[4,5,10],[4,6,12],[5,6,0],[5,7,98]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)=0, w=0\",\"Add (4,5)=10, w=10\",\"Add (0,1)=19, w=29\",\"Add (0,6)=21, w=50\",\"Add (1,2)=23, w=73\",\"Add (3,7)=26, w=99\",\"Add (3,4)=29, w=128\"],\"Answer\":128}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,19],[0,2,83],[0,3,47],[0,5,32],[0,6,21],[0,7,59],[1,2,23],[1,4,64],[1,6,43],[1,7,66],[2,4,73],[2,5,65],[3,4,29],[3,5,34],[3,7,26],[4,5,10],[4,6,12],[5,6,0],[5,7,98]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)=0 Succeeded, w=0\",\"Add (4,5)=10 Succeeded, w=10\",\"Add (4,6)=12 Failed, w=10\",\"Add (0,1)=19 Succeeded, w=29\",\"Add (0,6)=21 Succeeded, w=50\",\"Add (1,2)=23 Succeeded, w=73\",\"Add (3,7)=26 Succeeded, w=99\",\"Add (3,4)=29 Succeeded, w=128\",\"Add (0,5)=32 Failed, w=128\",\"Add (3,5)=34 Failed, w=128\",\"Add (1,6)=43 Failed, w=128\",\"Add (0,3)=47 Failed, w=128\",\"Add (0,7)=59 Failed, w=128\",\"Add (1,4)=64 Failed, w=128\",\"Add (2,5)=65 Failed, w=128\",\"Add (1,7)=66 Failed, w=128\",\"Add (2,4)=73 Failed, w=128\",\"Add (0,2)=83 Failed, w=128\",\"Add (5,7)=98 Failed, w=128\"],\"Answer\":128}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,19],[0,2,83],[0,3,47],[0,5,32],[0,6,21],[0,7,59],[1,2,23],[1,4,64],[1,6,43],[1,7,66],[2,4,73],[2,5,65],[3,4,29],[3,5,34],[3,7,26],[4,5,10],[4,6,12],[5,6,0],[5,7,98]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(5,6)=0,(4,5)=10,(4,6)=12,(0,1)=19,(0,6)=21,(1,2)=23,(3,7)=26,(3,4)=29,(0,5)=32,(3,5)=34,(1,6)=43,(0,3)=47,(0,7)=59,(1,4)=64,(2,5)=65,(1,7)=66,(2,4)=73,(0,2)=83,(5,7)=98]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=0 Succeeded, w=0\",\"Find(4)=4, Find(5)=5, Add (4,5)=10 Succeeded, w=10\",\"Find(4)=5, Find(6)=5, Add (4,6)=12 Failed, w=10\",\"Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=29\",\"Find(0)=0, Find(6)=5, Add (0,6)=21 Succeeded, w=50\",\"Find(1)=0, Find(2)=2, Add (1,2)=23 Succeeded, w=73\",\"Find(3)=3, Find(7)=7, Add (3,7)=26 Succeeded, w=99\",\"Find(3)=3, Find(4)=0, Add (3,4)=29 Succeeded, w=128\",\"Find(0)=0, Find(5)=0, Add (0,5)=32 Failed, w=128\",\"Find(3)=0, Find(5)=0, Add (3,5)=34 Failed, w=128\",\"Find(1)=0, Find(6)=0, Add (1,6)=43 Failed, w=128\",\"Find(0)=0, Find(3)=0, Add (0,3)=47 Failed, w=128\",\"Find(0)=0, Find(7)=0, Add (0,7)=59 Failed, w=128\",\"Find(1)=0, Find(4)=0, Add (1,4)=64 Failed, w=128\",\"Find(2)=0, Find(5)=0, Add (2,5)=65 Failed, w=128\",\"Find(1)=0, Find(7)=0, Add (1,7)=66 Failed, w=128\",\"Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=128\",\"Find(0)=0, Find(2)=0, Add (0,2)=83 Failed, w=128\",\"Find(5)=0, Find(7)=0, Add (5,7)=98 Failed, w=128\"],\"Answer\":128}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,19],[0,2,83],[0,3,47],[0,5,32],[0,6,21],[0,7,59],[1,2,23],[1,4,64],[1,6,43],[1,7,66],[2,4,73],[2,5,65],[3,4,29],[3,5,34],[3,7,26],[4,5,10],[4,6,12],[5,6,0],[5,7,98]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(5,6)=0,(4,5)=10,(4,6)=12,(0,1)=19,(0,6)=21,(1,2)=23,(3,7)=26,(3,4)=29,(0,5)=32,(3,5)=34,(1,6)=43,(0,3)=47,(0,7)=59,(1,4)=64,(2,5)=65,(1,7)=66,(2,4)=73,(0,2)=83,(5,7)=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: 3, 4: 5, 5: 5, 6: 5, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 5, 5: 5, 6: 5, 7: 7}, Find(4)=5, Find(6)=5, Add (4,6)=12 Failed, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 5, 5: 5, 6: 5, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 5, 5: 0, 6: 5, 7: 7}, Find(0)=0, Find(6)=5, Add (0,6)=21 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 5, 5: 0, 6: 5, 7: 7}, Find(1)=0, Find(2)=2, Add (1,2)=23 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 5, 5: 0, 6: 5, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=26 Succeeded, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 3}, Find(3)=3, Find(4)=0, Add (3,4)=29 Succeeded, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 3}, Find(0)=0, Find(5)=0, Add (0,5)=32 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 3}, Find(3)=0, Find(5)=0, Add (3,5)=34 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(1)=0, Find(6)=0, Add (1,6)=43 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(0)=0, Find(3)=0, Add (0,3)=47 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=59 Failed, w=128\",\"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)=64 Failed, w=128\",\"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)=65 Failed, w=128\",\"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)=66 Failed, w=128\",\"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)=73 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=83 Failed, w=128\",\"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)=98 Failed, w=128\"],\"Answer\":128}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,82],[0,2,32],[0,3,49],[1,2,1],[1,3,50],[1,4,26],[2,3,28],[2,4,17],[3,4,43]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,32],[0,3,49],[1,2,1],[1,3,50],[1,4,26],[2,3,28],[2,4,17],[3,4,43]]}", "role": "user" }, { "content": "{\"Answer\":78}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,32],[0,3,49],[1,2,1],[1,3,50],[1,4,26],[2,3,28],[2,4,17],[3,4,43]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (2,4)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":78}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,32],[0,3,49],[1,2,1],[1,3,50],[1,4,26],[2,3,28],[2,4,17],[3,4,43]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (2,4)=17, w=18\",\"Add (2,3)=28, w=46\",\"Add (0,2)=32, w=78\"],\"Answer\":78}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,32],[0,3,49],[1,2,1],[1,3,50],[1,4,26],[2,3,28],[2,4,17],[3,4,43]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (2,4)=17 Succeeded, w=18\",\"Add (1,4)=26 Failed, w=18\",\"Add (2,3)=28 Succeeded, w=46\",\"Add (0,2)=32 Succeeded, w=78\",\"Add (3,4)=43 Failed, w=78\",\"Add (0,3)=49 Failed, w=78\",\"Add (1,3)=50 Failed, w=78\",\"Add (0,1)=82 Failed, w=78\"],\"Answer\":78}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,32],[0,3,49],[1,2,1],[1,3,50],[1,4,26],[2,3,28],[2,4,17],[3,4,43]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=1,(2,4)=17,(1,4)=26,(2,3)=28,(0,2)=32,(3,4)=43,(0,3)=49,(1,3)=50,(0,1)=82]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(2)=1, Find(4)=4, Add (2,4)=17 Succeeded, w=18\",\"Find(1)=1, Find(4)=1, Add (1,4)=26 Failed, w=18\",\"Find(2)=1, Find(3)=3, Add (2,3)=28 Succeeded, w=46\",\"Find(0)=0, Find(2)=1, Add (0,2)=32 Succeeded, w=78\",\"Find(3)=1, Find(4)=1, Add (3,4)=43 Failed, w=78\",\"Find(0)=1, Find(3)=1, Add (0,3)=49 Failed, w=78\",\"Find(1)=1, Find(3)=1, Add (1,3)=50 Failed, w=78\",\"Find(0)=1, Find(1)=1, Add (0,1)=82 Failed, w=78\"],\"Answer\":78}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,32],[0,3,49],[1,2,1],[1,3,50],[1,4,26],[2,3,28],[2,4,17],[3,4,43]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=1,(2,4)=17,(1,4)=26,(2,3)=28,(0,2)=32,(3,4)=43,(0,3)=49,(1,3)=50,(0,1)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=17 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=26 Failed, w=18\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=3, Add (2,3)=28 Succeeded, w=46\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(2)=1, Add (0,2)=32 Succeeded, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=43 Failed, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=49 Failed, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=50 Failed, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=82 Failed, w=78\"],\"Answer\":78}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,38],[0,2,75],[0,3,82],[1,2,86],[1,3,80],[2,3,93]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,75],[0,3,82],[1,2,86],[1,3,80],[2,3,93]]}", "role": "user" }, { "content": "{\"Answer\":193}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,75],[0,3,82],[1,2,86],[1,3,80],[2,3,93]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":193}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,75],[0,3,82],[1,2,86],[1,3,80],[2,3,93]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=38, w=38\",\"Add (0,2)=75, w=113\",\"Add (1,3)=80, w=193\"],\"Answer\":193}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,75],[0,3,82],[1,2,86],[1,3,80],[2,3,93]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=38 Succeeded, w=38\",\"Add (0,2)=75 Succeeded, w=113\",\"Add (1,3)=80 Succeeded, w=193\",\"Add (0,3)=82 Failed, w=193\",\"Add (1,2)=86 Failed, w=193\",\"Add (2,3)=93 Failed, w=193\"],\"Answer\":193}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,75],[0,3,82],[1,2,86],[1,3,80],[2,3,93]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=38,(0,2)=75,(1,3)=80,(0,3)=82,(1,2)=86,(2,3)=93]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=38\",\"Find(0)=0, Find(2)=2, Add (0,2)=75 Succeeded, w=113\",\"Find(1)=0, Find(3)=3, Add (1,3)=80 Succeeded, w=193\",\"Find(0)=0, Find(3)=0, Add (0,3)=82 Failed, w=193\",\"Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=193\",\"Find(2)=0, Find(3)=0, Add (2,3)=93 Failed, w=193\"],\"Answer\":193}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,75],[0,3,82],[1,2,86],[1,3,80],[2,3,93]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=38,(0,2)=75,(1,3)=80,(0,3)=82,(1,2)=86,(2,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=75 Succeeded, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=80 Succeeded, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=82 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=93 Failed, w=193\"],\"Answer\":193}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,84],[0,2,87],[1,3,24],[1,4,50],[2,3,38],[2,4,37]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,2,87],[1,3,24],[1,4,50],[2,3,38],[2,4,37]]}", "role": "user" }, { "content": "{\"Answer\":183}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,2,87],[1,3,24],[1,4,50],[2,3,38],[2,4,37]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (2,4)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":183}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,2,87],[1,3,24],[1,4,50],[2,3,38],[2,4,37]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=24, w=24\",\"Add (2,4)=37, w=61\",\"Add (2,3)=38, w=99\",\"Add (0,1)=84, w=183\"],\"Answer\":183}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,2,87],[1,3,24],[1,4,50],[2,3,38],[2,4,37]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=24 Succeeded, w=24\",\"Add (2,4)=37 Succeeded, w=61\",\"Add (2,3)=38 Succeeded, w=99\",\"Add (1,4)=50 Failed, w=99\",\"Add (0,1)=84 Succeeded, w=183\",\"Add (0,2)=87 Failed, w=183\"],\"Answer\":183}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,2,87],[1,3,24],[1,4,50],[2,3,38],[2,4,37]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=24,(2,4)=37,(2,3)=38,(1,4)=50,(0,1)=84,(0,2)=87]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=24\",\"Find(2)=2, Find(4)=4, Add (2,4)=37 Succeeded, w=61\",\"Find(2)=2, Find(3)=1, Add (2,3)=38 Succeeded, w=99\",\"Find(1)=2, Find(4)=2, Add (1,4)=50 Failed, w=99\",\"Find(0)=0, Find(1)=2, Add (0,1)=84 Succeeded, w=183\",\"Find(0)=2, Find(2)=2, Add (0,2)=87 Failed, w=183\"],\"Answer\":183}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,2,87],[1,3,24],[1,4,50],[2,3,38],[2,4,37]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=24,(2,4)=37,(2,3)=38,(1,4)=50,(0,1)=84,(0,2)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=37 Succeeded, w=61\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 2, 5: 5}, Find(2)=2, Find(3)=1, Add (2,3)=38 Succeeded, w=99\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 2, 5: 5}, Find(1)=2, Find(4)=2, Add (1,4)=50 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 5}, Find(0)=0, Find(1)=2, Add (0,1)=84 Succeeded, w=183\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 5}, Find(0)=2, Find(2)=2, Add (0,2)=87 Failed, w=183\"],\"Answer\":183}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,63],[0,2,72],[0,3,0],[0,4,68],[0,5,60],[0,6,56],[0,7,85],[1,2,66],[1,3,96],[1,4,70],[1,5,37],[1,6,91],[1,7,40],[2,3,40],[2,4,32],[2,5,86],[2,6,42],[2,7,29],[3,4,19],[3,5,76],[3,6,65],[3,7,59],[4,5,16],[4,6,3],[5,6,40],[5,7,6],[6,7,78]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,63],[0,2,72],[0,3,0],[0,4,68],[0,5,60],[0,6,56],[0,7,85],[1,2,66],[1,3,96],[1,4,70],[1,5,37],[1,6,91],[1,7,40],[2,3,40],[2,4,32],[2,5,86],[2,6,42],[2,7,29],[3,4,19],[3,5,76],[3,6,65],[3,7,59],[4,5,16],[4,6,3],[5,6,40],[5,7,6],[6,7,78]]}", "role": "user" }, { "content": "{\"Answer\":110}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,63],[0,2,72],[0,3,0],[0,4,68],[0,5,60],[0,6,56],[0,7,85],[1,2,66],[1,3,96],[1,4,70],[1,5,37],[1,6,91],[1,7,40],[2,3,40],[2,4,32],[2,5,86],[2,6,42],[2,7,29],[3,4,19],[3,5,76],[3,6,65],[3,7,59],[4,5,16],[4,6,3],[5,6,40],[5,7,6],[6,7,78]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (4,6)\",\"Add (5,7)\",\"Add (4,5)\",\"Add (3,4)\",\"Add (2,7)\",\"Add (1,5)\"],\"Answer\":110}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,63],[0,2,72],[0,3,0],[0,4,68],[0,5,60],[0,6,56],[0,7,85],[1,2,66],[1,3,96],[1,4,70],[1,5,37],[1,6,91],[1,7,40],[2,3,40],[2,4,32],[2,5,86],[2,6,42],[2,7,29],[3,4,19],[3,5,76],[3,6,65],[3,7,59],[4,5,16],[4,6,3],[5,6,40],[5,7,6],[6,7,78]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (4,6)=3, w=3\",\"Add (5,7)=6, w=9\",\"Add (4,5)=16, w=25\",\"Add (3,4)=19, w=44\",\"Add (2,7)=29, w=73\",\"Add (1,5)=37, w=110\"],\"Answer\":110}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,63],[0,2,72],[0,3,0],[0,4,68],[0,5,60],[0,6,56],[0,7,85],[1,2,66],[1,3,96],[1,4,70],[1,5,37],[1,6,91],[1,7,40],[2,3,40],[2,4,32],[2,5,86],[2,6,42],[2,7,29],[3,4,19],[3,5,76],[3,6,65],[3,7,59],[4,5,16],[4,6,3],[5,6,40],[5,7,6],[6,7,78]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (4,6)=3 Succeeded, w=3\",\"Add (5,7)=6 Succeeded, w=9\",\"Add (4,5)=16 Succeeded, w=25\",\"Add (3,4)=19 Succeeded, w=44\",\"Add (2,7)=29 Succeeded, w=73\",\"Add (2,4)=32 Failed, w=73\",\"Add (1,5)=37 Succeeded, w=110\",\"Add (1,7)=40 Failed, w=110\",\"Add (2,3)=40 Failed, w=110\",\"Add (5,6)=40 Failed, w=110\",\"Add (2,6)=42 Failed, w=110\",\"Add (0,6)=56 Failed, w=110\",\"Add (3,7)=59 Failed, w=110\",\"Add (0,5)=60 Failed, w=110\",\"Add (0,1)=63 Failed, w=110\",\"Add (3,6)=65 Failed, w=110\",\"Add (1,2)=66 Failed, w=110\",\"Add (0,4)=68 Failed, w=110\",\"Add (1,4)=70 Failed, w=110\",\"Add (0,2)=72 Failed, w=110\",\"Add (3,5)=76 Failed, w=110\",\"Add (6,7)=78 Failed, w=110\",\"Add (0,7)=85 Failed, w=110\",\"Add (2,5)=86 Failed, w=110\",\"Add (1,6)=91 Failed, w=110\",\"Add (1,3)=96 Failed, w=110\"],\"Answer\":110}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,63],[0,2,72],[0,3,0],[0,4,68],[0,5,60],[0,6,56],[0,7,85],[1,2,66],[1,3,96],[1,4,70],[1,5,37],[1,6,91],[1,7,40],[2,3,40],[2,4,32],[2,5,86],[2,6,42],[2,7,29],[3,4,19],[3,5,76],[3,6,65],[3,7,59],[4,5,16],[4,6,3],[5,6,40],[5,7,6],[6,7,78]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=0,(4,6)=3,(5,7)=6,(4,5)=16,(3,4)=19,(2,7)=29,(2,4)=32,(1,5)=37,(1,7)=40,(2,3)=40,(5,6)=40,(2,6)=42,(0,6)=56,(3,7)=59,(0,5)=60,(0,1)=63,(3,6)=65,(1,2)=66,(0,4)=68,(1,4)=70,(0,2)=72,(3,5)=76,(6,7)=78,(0,7)=85,(2,5)=86,(1,6)=91,(1,3)=96]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(4)=4, Find(6)=6, Add (4,6)=3 Succeeded, w=3\",\"Find(5)=5, Find(7)=7, Add (5,7)=6 Succeeded, w=9\",\"Find(4)=4, Find(5)=5, Add (4,5)=16 Succeeded, w=25\",\"Find(3)=0, Find(4)=4, Add (3,4)=19 Succeeded, w=44\",\"Find(2)=2, Find(7)=4, Add (2,7)=29 Succeeded, w=73\",\"Find(2)=4, Find(4)=4, Add (2,4)=32 Failed, w=73\",\"Find(1)=1, Find(5)=4, Add (1,5)=37 Succeeded, w=110\",\"Find(1)=4, Find(7)=4, Add (1,7)=40 Failed, w=110\",\"Find(2)=4, Find(3)=4, Add (2,3)=40 Failed, w=110\",\"Find(5)=4, Find(6)=4, Add (5,6)=40 Failed, w=110\",\"Find(2)=4, Find(6)=4, Add (2,6)=42 Failed, w=110\",\"Find(0)=4, Find(6)=4, Add (0,6)=56 Failed, w=110\",\"Find(3)=4, Find(7)=4, Add (3,7)=59 Failed, w=110\",\"Find(0)=4, Find(5)=4, Add (0,5)=60 Failed, w=110\",\"Find(0)=4, Find(1)=4, Add (0,1)=63 Failed, w=110\",\"Find(3)=4, Find(6)=4, Add (3,6)=65 Failed, w=110\",\"Find(1)=4, Find(2)=4, Add (1,2)=66 Failed, w=110\",\"Find(0)=4, Find(4)=4, Add (0,4)=68 Failed, w=110\",\"Find(1)=4, Find(4)=4, Add (1,4)=70 Failed, w=110\",\"Find(0)=4, Find(2)=4, Add (0,2)=72 Failed, w=110\",\"Find(3)=4, Find(5)=4, Add (3,5)=76 Failed, w=110\",\"Find(6)=4, Find(7)=4, Add (6,7)=78 Failed, w=110\",\"Find(0)=4, Find(7)=4, Add (0,7)=85 Failed, w=110\",\"Find(2)=4, Find(5)=4, Add (2,5)=86 Failed, w=110\",\"Find(1)=4, Find(6)=4, Add (1,6)=91 Failed, w=110\",\"Find(1)=4, Find(3)=4, Add (1,3)=96 Failed, w=110\"],\"Answer\":110}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,63],[0,2,72],[0,3,0],[0,4,68],[0,5,60],[0,6,56],[0,7,85],[1,2,66],[1,3,96],[1,4,70],[1,5,37],[1,6,91],[1,7,40],[2,3,40],[2,4,32],[2,5,86],[2,6,42],[2,7,29],[3,4,19],[3,5,76],[3,6,65],[3,7,59],[4,5,16],[4,6,3],[5,6,40],[5,7,6],[6,7,78]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=0,(4,6)=3,(5,7)=6,(4,5)=16,(3,4)=19,(2,7)=29,(2,4)=32,(1,5)=37,(1,7)=40,(2,3)=40,(5,6)=40,(2,6)=42,(0,6)=56,(3,7)=59,(0,5)=60,(0,1)=63,(3,6)=65,(1,2)=66,(0,4)=68,(1,4)=70,(0,2)=72,(3,5)=76,(6,7)=78,(0,7)=85,(2,5)=86,(1,6)=91,(1,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 4, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=6 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 4, 7: 5}, Find(4)=4, Find(5)=5, Add (4,5)=16 Succeeded, w=25\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 4, 7: 5}, Find(3)=0, Find(4)=4, Add (3,4)=19 Succeeded, w=44\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 0, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=2, Find(7)=4, Add (2,7)=29 Succeeded, w=73\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 0, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(4)=4, Add (2,4)=32 Failed, w=73\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 0, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=1, Find(5)=4, Add (1,5)=37 Succeeded, w=110\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 0, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(7)=4, Add (1,7)=40 Failed, w=110\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(3)=4, Add (2,3)=40 Failed, w=110\",\"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)=40 Failed, w=110\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(6)=4, Add (2,6)=42 Failed, w=110\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(6)=4, Add (0,6)=56 Failed, w=110\",\"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)=59 Failed, w=110\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(5)=4, Add (0,5)=60 Failed, w=110\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(1)=4, Add (0,1)=63 Failed, w=110\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(6)=4, Add (3,6)=65 Failed, w=110\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(2)=4, Add (1,2)=66 Failed, w=110\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(4)=4, Add (0,4)=68 Failed, w=110\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(4)=4, Add (1,4)=70 Failed, w=110\",\"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)=72 Failed, w=110\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(5)=4, Add (3,5)=76 Failed, w=110\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(6)=4, Find(7)=4, Add (6,7)=78 Failed, w=110\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(7)=4, Add (0,7)=85 Failed, w=110\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(5)=4, Add (2,5)=86 Failed, w=110\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(6)=4, Add (1,6)=91 Failed, w=110\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(3)=4, Add (1,3)=96 Failed, w=110\"],\"Answer\":110}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,79],[0,2,57],[0,3,93],[0,4,88],[1,3,62],[1,4,72],[2,3,67],[2,4,74],[3,4,56]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,57],[0,3,93],[0,4,88],[1,3,62],[1,4,72],[2,3,67],[2,4,74],[3,4,56]]}", "role": "user" }, { "content": "{\"Answer\":242}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,57],[0,3,93],[0,4,88],[1,3,62],[1,4,72],[2,3,67],[2,4,74],[3,4,56]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":242}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,57],[0,3,93],[0,4,88],[1,3,62],[1,4,72],[2,3,67],[2,4,74],[3,4,56]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=56, w=56\",\"Add (0,2)=57, w=113\",\"Add (1,3)=62, w=175\",\"Add (2,3)=67, w=242\"],\"Answer\":242}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,57],[0,3,93],[0,4,88],[1,3,62],[1,4,72],[2,3,67],[2,4,74],[3,4,56]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=56 Succeeded, w=56\",\"Add (0,2)=57 Succeeded, w=113\",\"Add (1,3)=62 Succeeded, w=175\",\"Add (2,3)=67 Succeeded, w=242\",\"Add (1,4)=72 Failed, w=242\",\"Add (2,4)=74 Failed, w=242\",\"Add (0,1)=79 Failed, w=242\",\"Add (0,4)=88 Failed, w=242\",\"Add (0,3)=93 Failed, w=242\"],\"Answer\":242}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,57],[0,3,93],[0,4,88],[1,3,62],[1,4,72],[2,3,67],[2,4,74],[3,4,56]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=56,(0,2)=57,(1,3)=62,(2,3)=67,(1,4)=72,(2,4)=74,(0,1)=79,(0,4)=88,(0,3)=93]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=56 Succeeded, w=56\",\"Find(0)=0, Find(2)=2, Add (0,2)=57 Succeeded, w=113\",\"Find(1)=1, Find(3)=3, Add (1,3)=62 Succeeded, w=175\",\"Find(2)=0, Find(3)=3, Add (2,3)=67 Succeeded, w=242\",\"Find(1)=0, Find(4)=0, Add (1,4)=72 Failed, w=242\",\"Find(2)=0, Find(4)=0, Add (2,4)=74 Failed, w=242\",\"Find(0)=0, Find(1)=0, Add (0,1)=79 Failed, w=242\",\"Find(0)=0, Find(4)=0, Add (0,4)=88 Failed, w=242\",\"Find(0)=0, Find(3)=0, Add (0,3)=93 Failed, w=242\"],\"Answer\":242}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,57],[0,3,93],[0,4,88],[1,3,62],[1,4,72],[2,3,67],[2,4,74],[3,4,56]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=56,(0,2)=57,(1,3)=62,(2,3)=67,(1,4)=72,(2,4)=74,(0,1)=79,(0,4)=88,(0,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=56 Succeeded, w=56\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3}, Find(0)=0, Find(2)=2, Add (0,2)=57 Succeeded, w=113\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=62 Succeeded, w=175\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(3)=3, Add (2,3)=67 Succeeded, w=242\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=72 Failed, w=242\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=74 Failed, w=242\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=79 Failed, w=242\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=88 Failed, w=242\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=93 Failed, w=242\"],\"Answer\":242}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,59],[0,2,1],[0,3,59],[1,2,90],[1,3,83]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,1],[0,3,59],[1,2,90],[1,3,83]]}", "role": "user" }, { "content": "{\"Answer\":119}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,1],[0,3,59],[1,2,90],[1,3,83]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":119}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,1],[0,3,59],[1,2,90],[1,3,83]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (0,1)=59, w=60\",\"Add (0,3)=59, w=119\"],\"Answer\":119}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,1],[0,3,59],[1,2,90],[1,3,83]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (0,1)=59 Succeeded, w=60\",\"Add (0,3)=59 Succeeded, w=119\",\"Add (1,3)=83 Failed, w=119\",\"Add (1,2)=90 Failed, w=119\"],\"Answer\":119}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,1],[0,3,59],[1,2,90],[1,3,83]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=1,(0,1)=59,(0,3)=59,(1,3)=83,(1,2)=90]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=59 Succeeded, w=60\",\"Find(0)=0, Find(3)=3, Add (0,3)=59 Succeeded, w=119\",\"Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=119\",\"Find(1)=0, Find(2)=0, Add (1,2)=90 Failed, w=119\"],\"Answer\":119}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,1],[0,3,59],[1,2,90],[1,3,83]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=1,(0,1)=59,(0,3)=59,(1,3)=83,(1,2)=90]\",\"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: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=59 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=59 Succeeded, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=90 Failed, w=119\"],\"Answer\":119}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,13],[0,2,8],[0,3,11],[0,4,47],[0,5,76],[1,2,35],[1,3,47],[1,4,16],[1,5,51],[1,6,36],[2,3,1],[2,4,73],[2,5,40],[2,6,85],[3,4,75],[3,5,57],[3,6,35],[4,5,59],[4,6,58],[5,6,74]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,13],[0,2,8],[0,3,11],[0,4,47],[0,5,76],[1,2,35],[1,3,47],[1,4,16],[1,5,51],[1,6,36],[2,3,1],[2,4,73],[2,5,40],[2,6,85],[3,4,75],[3,5,57],[3,6,35],[4,5,59],[4,6,58],[5,6,74]]}", "role": "user" }, { "content": "{\"Answer\":113}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,13],[0,2,8],[0,3,11],[0,4,47],[0,5,76],[1,2,35],[1,3,47],[1,4,16],[1,5,51],[1,6,36],[2,3,1],[2,4,73],[2,5,40],[2,6,85],[3,4,75],[3,5,57],[3,6,35],[4,5,59],[4,6,58],[5,6,74]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (0,1)\",\"Add (1,4)\",\"Add (3,6)\",\"Add (2,5)\"],\"Answer\":113}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,13],[0,2,8],[0,3,11],[0,4,47],[0,5,76],[1,2,35],[1,3,47],[1,4,16],[1,5,51],[1,6,36],[2,3,1],[2,4,73],[2,5,40],[2,6,85],[3,4,75],[3,5,57],[3,6,35],[4,5,59],[4,6,58],[5,6,74]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (0,2)=8, w=9\",\"Add (0,1)=13, w=22\",\"Add (1,4)=16, w=38\",\"Add (3,6)=35, w=73\",\"Add (2,5)=40, w=113\"],\"Answer\":113}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,13],[0,2,8],[0,3,11],[0,4,47],[0,5,76],[1,2,35],[1,3,47],[1,4,16],[1,5,51],[1,6,36],[2,3,1],[2,4,73],[2,5,40],[2,6,85],[3,4,75],[3,5,57],[3,6,35],[4,5,59],[4,6,58],[5,6,74]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (0,2)=8 Succeeded, w=9\",\"Add (0,3)=11 Failed, w=9\",\"Add (0,1)=13 Succeeded, w=22\",\"Add (1,4)=16 Succeeded, w=38\",\"Add (1,2)=35 Failed, w=38\",\"Add (3,6)=35 Succeeded, w=73\",\"Add (1,6)=36 Failed, w=73\",\"Add (2,5)=40 Succeeded, w=113\",\"Add (0,4)=47 Failed, w=113\",\"Add (1,3)=47 Failed, w=113\",\"Add (1,5)=51 Failed, w=113\",\"Add (3,5)=57 Failed, w=113\",\"Add (4,6)=58 Failed, w=113\",\"Add (4,5)=59 Failed, w=113\",\"Add (2,4)=73 Failed, w=113\",\"Add (5,6)=74 Failed, w=113\",\"Add (3,4)=75 Failed, w=113\",\"Add (0,5)=76 Failed, w=113\",\"Add (2,6)=85 Failed, w=113\"],\"Answer\":113}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,13],[0,2,8],[0,3,11],[0,4,47],[0,5,76],[1,2,35],[1,3,47],[1,4,16],[1,5,51],[1,6,36],[2,3,1],[2,4,73],[2,5,40],[2,6,85],[3,4,75],[3,5,57],[3,6,35],[4,5,59],[4,6,58],[5,6,74]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=1,(0,2)=8,(0,3)=11,(0,1)=13,(1,4)=16,(1,2)=35,(3,6)=35,(1,6)=36,(2,5)=40,(0,4)=47,(1,3)=47,(1,5)=51,(3,5)=57,(4,6)=58,(4,5)=59,(2,4)=73,(5,6)=74,(3,4)=75,(0,5)=76,(2,6)=85]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=9\",\"Find(0)=2, Find(3)=2, Add (0,3)=11 Failed, w=9\",\"Find(0)=2, Find(1)=1, Add (0,1)=13 Succeeded, w=22\",\"Find(1)=2, Find(4)=4, Add (1,4)=16 Succeeded, w=38\",\"Find(1)=2, Find(2)=2, Add (1,2)=35 Failed, w=38\",\"Find(3)=2, Find(6)=6, Add (3,6)=35 Succeeded, w=73\",\"Find(1)=2, Find(6)=2, Add (1,6)=36 Failed, w=73\",\"Find(2)=2, Find(5)=5, Add (2,5)=40 Succeeded, w=113\",\"Find(0)=2, Find(4)=2, Add (0,4)=47 Failed, w=113\",\"Find(1)=2, Find(3)=2, Add (1,3)=47 Failed, w=113\",\"Find(1)=2, Find(5)=2, Add (1,5)=51 Failed, w=113\",\"Find(3)=2, Find(5)=2, Add (3,5)=57 Failed, w=113\",\"Find(4)=2, Find(6)=2, Add (4,6)=58 Failed, w=113\",\"Find(4)=2, Find(5)=2, Add (4,5)=59 Failed, w=113\",\"Find(2)=2, Find(4)=2, Add (2,4)=73 Failed, w=113\",\"Find(5)=2, Find(6)=2, Add (5,6)=74 Failed, w=113\",\"Find(3)=2, Find(4)=2, Add (3,4)=75 Failed, w=113\",\"Find(0)=2, Find(5)=2, Add (0,5)=76 Failed, w=113\",\"Find(2)=2, Find(6)=2, Add (2,6)=85 Failed, w=113\"],\"Answer\":113}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,13],[0,2,8],[0,3,11],[0,4,47],[0,5,76],[1,2,35],[1,3,47],[1,4,16],[1,5,51],[1,6,36],[2,3,1],[2,4,73],[2,5,40],[2,6,85],[3,4,75],[3,5,57],[3,6,35],[4,5,59],[4,6,58],[5,6,74]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=1,(0,2)=8,(0,3)=11,(0,1)=13,(1,4)=16,(1,2)=35,(3,6)=35,(1,6)=36,(2,5)=40,(0,4)=47,(1,3)=47,(1,5)=51,(3,5)=57,(4,6)=58,(4,5)=59,(2,4)=73,(5,6)=74,(3,4)=75,(0,5)=76,(2,6)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=9\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(0)=2, Find(3)=2, Add (0,3)=11 Failed, w=9\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(0)=2, Find(1)=1, Add (0,1)=13 Succeeded, w=22\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(1)=2, Find(4)=4, Add (1,4)=16 Succeeded, w=38\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(1)=2, Find(2)=2, Add (1,2)=35 Failed, w=38\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(3)=2, Find(6)=6, Add (3,6)=35 Succeeded, w=73\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=36 Failed, w=73\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=5, Add (2,5)=40 Succeeded, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=47 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=47 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=51 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=57 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=58 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=59 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=73 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=74 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=75 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=76 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=85 Failed, w=113\"],\"Answer\":113}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,85],[0,2,76],[0,3,21],[0,5,2],[1,3,71],[1,4,63],[1,6,20],[1,7,95],[2,3,15],[2,5,51],[2,6,13],[2,7,7],[3,4,1],[3,5,82],[3,7,8],[4,5,75],[5,6,5],[5,7,74]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,2,76],[0,3,21],[0,5,2],[1,3,71],[1,4,63],[1,6,20],[1,7,95],[2,3,15],[2,5,51],[2,6,13],[2,7,7],[3,4,1],[3,5,82],[3,7,8],[4,5,75],[5,6,5],[5,7,74]]}", "role": "user" }, { "content": "{\"Answer\":56}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,2,76],[0,3,21],[0,5,2],[1,3,71],[1,4,63],[1,6,20],[1,7,95],[2,3,15],[2,5,51],[2,6,13],[2,7,7],[3,4,1],[3,5,82],[3,7,8],[4,5,75],[5,6,5],[5,7,74]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)\",\"Add (0,5)\",\"Add (5,6)\",\"Add (2,7)\",\"Add (3,7)\",\"Add (2,6)\",\"Add (1,6)\"],\"Answer\":56}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,2,76],[0,3,21],[0,5,2],[1,3,71],[1,4,63],[1,6,20],[1,7,95],[2,3,15],[2,5,51],[2,6,13],[2,7,7],[3,4,1],[3,5,82],[3,7,8],[4,5,75],[5,6,5],[5,7,74]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=1, w=1\",\"Add (0,5)=2, w=3\",\"Add (5,6)=5, w=8\",\"Add (2,7)=7, w=15\",\"Add (3,7)=8, w=23\",\"Add (2,6)=13, w=36\",\"Add (1,6)=20, w=56\"],\"Answer\":56}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,2,76],[0,3,21],[0,5,2],[1,3,71],[1,4,63],[1,6,20],[1,7,95],[2,3,15],[2,5,51],[2,6,13],[2,7,7],[3,4,1],[3,5,82],[3,7,8],[4,5,75],[5,6,5],[5,7,74]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=1 Succeeded, w=1\",\"Add (0,5)=2 Succeeded, w=3\",\"Add (5,6)=5 Succeeded, w=8\",\"Add (2,7)=7 Succeeded, w=15\",\"Add (3,7)=8 Succeeded, w=23\",\"Add (2,6)=13 Succeeded, w=36\",\"Add (2,3)=15 Failed, w=36\",\"Add (1,6)=20 Succeeded, w=56\",\"Add (0,3)=21 Failed, w=56\",\"Add (2,5)=51 Failed, w=56\",\"Add (1,4)=63 Failed, w=56\",\"Add (1,3)=71 Failed, w=56\",\"Add (5,7)=74 Failed, w=56\",\"Add (4,5)=75 Failed, w=56\",\"Add (0,2)=76 Failed, w=56\",\"Add (3,5)=82 Failed, w=56\",\"Add (0,1)=85 Failed, w=56\",\"Add (1,7)=95 Failed, w=56\"],\"Answer\":56}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,2,76],[0,3,21],[0,5,2],[1,3,71],[1,4,63],[1,6,20],[1,7,95],[2,3,15],[2,5,51],[2,6,13],[2,7,7],[3,4,1],[3,5,82],[3,7,8],[4,5,75],[5,6,5],[5,7,74]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=1,(0,5)=2,(5,6)=5,(2,7)=7,(3,7)=8,(2,6)=13,(2,3)=15,(1,6)=20,(0,3)=21,(2,5)=51,(1,4)=63,(1,3)=71,(5,7)=74,(4,5)=75,(0,2)=76,(3,5)=82,(0,1)=85,(1,7)=95]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=3\",\"Find(5)=0, Find(6)=6, Add (5,6)=5 Succeeded, w=8\",\"Find(2)=2, Find(7)=7, Add (2,7)=7 Succeeded, w=15\",\"Find(3)=3, Find(7)=2, Add (3,7)=8 Succeeded, w=23\",\"Find(2)=3, Find(6)=0, Add (2,6)=13 Succeeded, w=36\",\"Find(2)=3, Find(3)=3, Add (2,3)=15 Failed, w=36\",\"Find(1)=1, Find(6)=3, Add (1,6)=20 Succeeded, w=56\",\"Find(0)=3, Find(3)=3, Add (0,3)=21 Failed, w=56\",\"Find(2)=3, Find(5)=3, Add (2,5)=51 Failed, w=56\",\"Find(1)=3, Find(4)=3, Add (1,4)=63 Failed, w=56\",\"Find(1)=3, Find(3)=3, Add (1,3)=71 Failed, w=56\",\"Find(5)=3, Find(7)=3, Add (5,7)=74 Failed, w=56\",\"Find(4)=3, Find(5)=3, Add (4,5)=75 Failed, w=56\",\"Find(0)=3, Find(2)=3, Add (0,2)=76 Failed, w=56\",\"Find(3)=3, Find(5)=3, Add (3,5)=82 Failed, w=56\",\"Find(0)=3, Find(1)=3, Add (0,1)=85 Failed, w=56\",\"Find(1)=3, Find(7)=3, Add (1,7)=95 Failed, w=56\"],\"Answer\":56}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,2,76],[0,3,21],[0,5,2],[1,3,71],[1,4,63],[1,6,20],[1,7,95],[2,3,15],[2,5,51],[2,6,13],[2,7,7],[3,4,1],[3,5,82],[3,7,8],[4,5,75],[5,6,5],[5,7,74]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=1,(0,5)=2,(5,6)=5,(2,7)=7,(3,7)=8,(2,6)=13,(2,3)=15,(1,6)=20,(0,3)=21,(2,5)=51,(1,4)=63,(1,3)=71,(5,7)=74,(4,5)=75,(0,2)=76,(3,5)=82,(0,1)=85,(1,7)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0, 6: 0, 7: 7}, Find(5)=0, Find(6)=6, Add (5,6)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0, 6: 0, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=7 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 0, 6: 0, 7: 2}, Find(3)=3, Find(7)=2, Add (3,7)=8 Succeeded, w=23\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 0, 6: 0, 7: 2}, Find(2)=3, Find(6)=0, Add (2,6)=13 Succeeded, w=36\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 0, 6: 0, 7: 2}, Find(2)=3, Find(3)=3, Add (2,3)=15 Failed, w=36\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 3, 7: 2}, Find(1)=1, Find(6)=3, Add (1,6)=20 Succeeded, w=56\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 3, 7: 2}, Find(0)=3, Find(3)=3, Add (0,3)=21 Failed, w=56\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 2}, Find(2)=3, Find(5)=3, Add (2,5)=51 Failed, w=56\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 2}, Find(1)=3, Find(4)=3, Add (1,4)=63 Failed, w=56\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 2}, Find(1)=3, Find(3)=3, Add (1,3)=71 Failed, w=56\",\"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)=74 Failed, w=56\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=75 Failed, w=56\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(2)=3, Add (0,2)=76 Failed, w=56\",\"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)=82 Failed, w=56\",\"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)=85 Failed, w=56\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=95 Failed, w=56\"],\"Answer\":56}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,20],[0,3,63],[1,2,15],[1,3,57],[2,3,83]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,20],[0,3,63],[1,2,15],[1,3,57],[2,3,83]]}", "role": "user" }, { "content": "{\"Answer\":92}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,20],[0,3,63],[1,2,15],[1,3,57],[2,3,83]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":92}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,20],[0,3,63],[1,2,15],[1,3,57],[2,3,83]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=15, w=15\",\"Add (0,2)=20, w=35\",\"Add (1,3)=57, w=92\"],\"Answer\":92}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,20],[0,3,63],[1,2,15],[1,3,57],[2,3,83]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=15 Succeeded, w=15\",\"Add (0,2)=20 Succeeded, w=35\",\"Add (1,3)=57 Succeeded, w=92\",\"Add (0,3)=63 Failed, w=92\",\"Add (2,3)=83 Failed, w=92\"],\"Answer\":92}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,20],[0,3,63],[1,2,15],[1,3,57],[2,3,83]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=15,(0,2)=20,(1,3)=57,(0,3)=63,(2,3)=83]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=15\",\"Find(0)=0, Find(2)=1, Add (0,2)=20 Succeeded, w=35\",\"Find(1)=1, Find(3)=3, Add (1,3)=57 Succeeded, w=92\",\"Find(0)=1, Find(3)=1, Add (0,3)=63 Failed, w=92\",\"Find(2)=1, Find(3)=1, Add (2,3)=83 Failed, w=92\"],\"Answer\":92}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,20],[0,3,63],[1,2,15],[1,3,57],[2,3,83]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=15,(0,2)=20,(1,3)=57,(0,3)=63,(2,3)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=15\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(2)=1, Add (0,2)=20 Succeeded, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=57 Succeeded, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=63 Failed, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=83 Failed, w=92\"],\"Answer\":92}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,94],[1,2,92],[1,3,7],[2,3,97]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,94],[1,2,92],[1,3,7],[2,3,97]]}", "role": "user" }, { "content": "{\"Answer\":193}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,94],[1,2,92],[1,3,7],[2,3,97]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":193}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,94],[1,2,92],[1,3,7],[2,3,97]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=7, w=7\",\"Add (1,2)=92, w=99\",\"Add (0,2)=94, w=193\"],\"Answer\":193}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,94],[1,2,92],[1,3,7],[2,3,97]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=7 Succeeded, w=7\",\"Add (1,2)=92 Succeeded, w=99\",\"Add (0,2)=94 Succeeded, w=193\",\"Add (2,3)=97 Failed, w=193\"],\"Answer\":193}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,94],[1,2,92],[1,3,7],[2,3,97]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=7,(1,2)=92,(0,2)=94,(2,3)=97]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=7\",\"Find(1)=1, Find(2)=2, Add (1,2)=92 Succeeded, w=99\",\"Find(0)=0, Find(2)=1, Add (0,2)=94 Succeeded, w=193\",\"Find(2)=1, Find(3)=1, Add (2,3)=97 Failed, w=193\"],\"Answer\":193}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,94],[1,2,92],[1,3,7],[2,3,97]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=7,(1,2)=92,(0,2)=94,(2,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=92 Succeeded, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=94 Succeeded, w=193\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=97 Failed, w=193\"],\"Answer\":193}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,10],[0,4,13],[1,2,33],[1,3,57],[1,5,55],[2,3,32],[2,5,57],[3,4,66],[3,5,81],[4,5,14]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,4,13],[1,2,33],[1,3,57],[1,5,55],[2,3,32],[2,5,57],[3,4,66],[3,5,81],[4,5,14]]}", "role": "user" }, { "content": "{\"Answer\":102}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,4,13],[1,2,33],[1,3,57],[1,5,55],[2,3,32],[2,5,57],[3,4,66],[3,5,81],[4,5,14]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (0,4)\",\"Add (4,5)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":102}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,4,13],[1,2,33],[1,3,57],[1,5,55],[2,3,32],[2,5,57],[3,4,66],[3,5,81],[4,5,14]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=10, w=10\",\"Add (0,4)=13, w=23\",\"Add (4,5)=14, w=37\",\"Add (2,3)=32, w=69\",\"Add (1,2)=33, w=102\"],\"Answer\":102}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,4,13],[1,2,33],[1,3,57],[1,5,55],[2,3,32],[2,5,57],[3,4,66],[3,5,81],[4,5,14]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=10 Succeeded, w=10\",\"Add (0,4)=13 Succeeded, w=23\",\"Add (4,5)=14 Succeeded, w=37\",\"Add (2,3)=32 Succeeded, w=69\",\"Add (1,2)=33 Succeeded, w=102\",\"Add (1,5)=55 Failed, w=102\",\"Add (1,3)=57 Failed, w=102\",\"Add (2,5)=57 Failed, w=102\",\"Add (3,4)=66 Failed, w=102\",\"Add (3,5)=81 Failed, w=102\"],\"Answer\":102}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,4,13],[1,2,33],[1,3,57],[1,5,55],[2,3,32],[2,5,57],[3,4,66],[3,5,81],[4,5,14]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=10,(0,4)=13,(4,5)=14,(2,3)=32,(1,2)=33,(1,5)=55,(1,3)=57,(2,5)=57,(3,4)=66,(3,5)=81]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=23\",\"Find(4)=0, Find(5)=5, Add (4,5)=14 Succeeded, w=37\",\"Find(2)=2, Find(3)=3, Add (2,3)=32 Succeeded, w=69\",\"Find(1)=0, Find(2)=2, Add (1,2)=33 Succeeded, w=102\",\"Find(1)=0, Find(5)=0, Add (1,5)=55 Failed, w=102\",\"Find(1)=0, Find(3)=0, Add (1,3)=57 Failed, w=102\",\"Find(2)=0, Find(5)=0, Add (2,5)=57 Failed, w=102\",\"Find(3)=0, Find(4)=0, Add (3,4)=66 Failed, w=102\",\"Find(3)=0, Find(5)=0, Add (3,5)=81 Failed, w=102\"],\"Answer\":102}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,4,13],[1,2,33],[1,3,57],[1,5,55],[2,3,32],[2,5,57],[3,4,66],[3,5,81],[4,5,14]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=10,(0,4)=13,(4,5)=14,(2,3)=32,(1,2)=33,(1,5)=55,(1,3)=57,(2,5)=57,(3,4)=66,(3,5)=81]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=14 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 0}, Find(2)=2, Find(3)=3, Add (2,3)=32 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0}, Find(1)=0, Find(2)=2, Add (1,2)=33 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=55 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=57 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=57 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=66 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=81 Failed, w=102\"],\"Answer\":102}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[2,3,13]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[2,3,13]]}", "role": "user" }, { "content": "{\"Answer\":13}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[2,3,13]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\"],\"Answer\":13}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[2,3,13]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=13, w=13\"],\"Answer\":13}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[2,3,13]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=13 Succeeded, w=13\"],\"Answer\":13}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[2,3,13]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=13]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=13\"],\"Answer\":13}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[2,3,13]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=13]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=13\"],\"Answer\":13}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,49],[0,3,16],[0,4,21],[0,5,14],[0,7,4],[1,4,0],[1,5,98],[1,6,17],[2,3,96],[2,4,20],[2,6,36],[3,4,5],[3,5,77],[3,6,62],[3,7,76],[4,5,62],[4,6,75],[4,7,38],[5,6,94],[5,7,88],[6,7,33]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,49],[0,3,16],[0,4,21],[0,5,14],[0,7,4],[1,4,0],[1,5,98],[1,6,17],[2,3,96],[2,4,20],[2,6,36],[3,4,5],[3,5,77],[3,6,62],[3,7,76],[4,5,62],[4,6,75],[4,7,38],[5,6,94],[5,7,88],[6,7,33]]}", "role": "user" }, { "content": "{\"Answer\":76}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,49],[0,3,16],[0,4,21],[0,5,14],[0,7,4],[1,4,0],[1,5,98],[1,6,17],[2,3,96],[2,4,20],[2,6,36],[3,4,5],[3,5,77],[3,6,62],[3,7,76],[4,5,62],[4,6,75],[4,7,38],[5,6,94],[5,7,88],[6,7,33]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)\",\"Add (0,7)\",\"Add (3,4)\",\"Add (0,5)\",\"Add (0,3)\",\"Add (1,6)\",\"Add (2,4)\"],\"Answer\":76}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,49],[0,3,16],[0,4,21],[0,5,14],[0,7,4],[1,4,0],[1,5,98],[1,6,17],[2,3,96],[2,4,20],[2,6,36],[3,4,5],[3,5,77],[3,6,62],[3,7,76],[4,5,62],[4,6,75],[4,7,38],[5,6,94],[5,7,88],[6,7,33]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (0,7)=4, w=4\",\"Add (3,4)=5, w=9\",\"Add (0,5)=14, w=23\",\"Add (0,3)=16, w=39\",\"Add (1,6)=17, w=56\",\"Add (2,4)=20, w=76\"],\"Answer\":76}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,49],[0,3,16],[0,4,21],[0,5,14],[0,7,4],[1,4,0],[1,5,98],[1,6,17],[2,3,96],[2,4,20],[2,6,36],[3,4,5],[3,5,77],[3,6,62],[3,7,76],[4,5,62],[4,6,75],[4,7,38],[5,6,94],[5,7,88],[6,7,33]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (0,7)=4 Succeeded, w=4\",\"Add (3,4)=5 Succeeded, w=9\",\"Add (0,5)=14 Succeeded, w=23\",\"Add (0,3)=16 Succeeded, w=39\",\"Add (1,6)=17 Succeeded, w=56\",\"Add (2,4)=20 Succeeded, w=76\",\"Add (0,4)=21 Failed, w=76\",\"Add (6,7)=33 Failed, w=76\",\"Add (2,6)=36 Failed, w=76\",\"Add (4,7)=38 Failed, w=76\",\"Add (0,2)=49 Failed, w=76\",\"Add (3,6)=62 Failed, w=76\",\"Add (4,5)=62 Failed, w=76\",\"Add (4,6)=75 Failed, w=76\",\"Add (3,7)=76 Failed, w=76\",\"Add (3,5)=77 Failed, w=76\",\"Add (5,7)=88 Failed, w=76\",\"Add (5,6)=94 Failed, w=76\",\"Add (2,3)=96 Failed, w=76\",\"Add (1,5)=98 Failed, w=76\"],\"Answer\":76}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,49],[0,3,16],[0,4,21],[0,5,14],[0,7,4],[1,4,0],[1,5,98],[1,6,17],[2,3,96],[2,4,20],[2,6,36],[3,4,5],[3,5,77],[3,6,62],[3,7,76],[4,5,62],[4,6,75],[4,7,38],[5,6,94],[5,7,88],[6,7,33]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=0,(0,7)=4,(3,4)=5,(0,5)=14,(0,3)=16,(1,6)=17,(2,4)=20,(0,4)=21,(6,7)=33,(2,6)=36,(4,7)=38,(0,2)=49,(3,6)=62,(4,5)=62,(4,6)=75,(3,7)=76,(3,5)=77,(5,7)=88,(5,6)=94,(2,3)=96,(1,5)=98]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(7)=7, Add (0,7)=4 Succeeded, w=4\",\"Find(3)=3, Find(4)=1, Add (3,4)=5 Succeeded, w=9\",\"Find(0)=0, Find(5)=5, Add (0,5)=14 Succeeded, w=23\",\"Find(0)=0, Find(3)=1, Add (0,3)=16 Succeeded, w=39\",\"Find(1)=0, Find(6)=6, Add (1,6)=17 Succeeded, w=56\",\"Find(2)=2, Find(4)=0, Add (2,4)=20 Succeeded, w=76\",\"Find(0)=0, Find(4)=0, Add (0,4)=21 Failed, w=76\",\"Find(6)=0, Find(7)=0, Add (6,7)=33 Failed, w=76\",\"Find(2)=0, Find(6)=0, Add (2,6)=36 Failed, w=76\",\"Find(4)=0, Find(7)=0, Add (4,7)=38 Failed, w=76\",\"Find(0)=0, Find(2)=0, Add (0,2)=49 Failed, w=76\",\"Find(3)=0, Find(6)=0, Add (3,6)=62 Failed, w=76\",\"Find(4)=0, Find(5)=0, Add (4,5)=62 Failed, w=76\",\"Find(4)=0, Find(6)=0, Add (4,6)=75 Failed, w=76\",\"Find(3)=0, Find(7)=0, Add (3,7)=76 Failed, w=76\",\"Find(3)=0, Find(5)=0, Add (3,5)=77 Failed, w=76\",\"Find(5)=0, Find(7)=0, Add (5,7)=88 Failed, w=76\",\"Find(5)=0, Find(6)=0, Add (5,6)=94 Failed, w=76\",\"Find(2)=0, Find(3)=0, Add (2,3)=96 Failed, w=76\",\"Find(1)=0, Find(5)=0, Add (1,5)=98 Failed, w=76\"],\"Answer\":76}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,49],[0,3,16],[0,4,21],[0,5,14],[0,7,4],[1,4,0],[1,5,98],[1,6,17],[2,3,96],[2,4,20],[2,6,36],[3,4,5],[3,5,77],[3,6,62],[3,7,76],[4,5,62],[4,6,75],[4,7,38],[5,6,94],[5,7,88],[6,7,33]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=0,(0,7)=4,(3,4)=5,(0,5)=14,(0,3)=16,(1,6)=17,(2,4)=20,(0,4)=21,(6,7)=33,(2,6)=36,(4,7)=38,(0,2)=49,(3,6)=62,(4,5)=62,(4,6)=75,(3,7)=76,(3,5)=77,(5,7)=88,(5,6)=94,(2,3)=96,(1,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6, 7: 0}, Find(3)=3, Find(4)=1, Add (3,4)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(5)=5, Add (0,5)=14 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 1, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(3)=1, Add (0,3)=16 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 1, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=6, Add (1,6)=17 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=2, Find(4)=0, Add (2,4)=20 Succeeded, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=21 Failed, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=33 Failed, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=36 Failed, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=38 Failed, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=49 Failed, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=62 Failed, w=76\",\"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)=62 Failed, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=75 Failed, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=76 Failed, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=77 Failed, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=88 Failed, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=94 Failed, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=96 Failed, w=76\",\"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)=98 Failed, w=76\"],\"Answer\":76}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,40],[0,2,1],[0,3,40],[0,7,26],[1,2,44],[1,3,87],[1,4,46],[1,5,57],[1,6,79],[1,7,61],[2,3,91],[2,4,35],[2,5,93],[3,4,54],[3,5,72],[4,5,30],[4,6,100],[4,7,81],[5,6,82]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,2,1],[0,3,40],[0,7,26],[1,2,44],[1,3,87],[1,4,46],[1,5,57],[1,6,79],[1,7,61],[2,3,91],[2,4,35],[2,5,93],[3,4,54],[3,5,72],[4,5,30],[4,6,100],[4,7,81],[5,6,82]]}", "role": "user" }, { "content": "{\"Answer\":251}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,2,1],[0,3,40],[0,7,26],[1,2,44],[1,3,87],[1,4,46],[1,5,57],[1,6,79],[1,7,61],[2,3,91],[2,4,35],[2,5,93],[3,4,54],[3,5,72],[4,5,30],[4,6,100],[4,7,81],[5,6,82]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (0,7)\",\"Add (4,5)\",\"Add (2,4)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (1,6)\"],\"Answer\":251}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,2,1],[0,3,40],[0,7,26],[1,2,44],[1,3,87],[1,4,46],[1,5,57],[1,6,79],[1,7,61],[2,3,91],[2,4,35],[2,5,93],[3,4,54],[3,5,72],[4,5,30],[4,6,100],[4,7,81],[5,6,82]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (0,7)=26, w=27\",\"Add (4,5)=30, w=57\",\"Add (2,4)=35, w=92\",\"Add (0,1)=40, w=132\",\"Add (0,3)=40, w=172\",\"Add (1,6)=79, w=251\"],\"Answer\":251}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,2,1],[0,3,40],[0,7,26],[1,2,44],[1,3,87],[1,4,46],[1,5,57],[1,6,79],[1,7,61],[2,3,91],[2,4,35],[2,5,93],[3,4,54],[3,5,72],[4,5,30],[4,6,100],[4,7,81],[5,6,82]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (0,7)=26 Succeeded, w=27\",\"Add (4,5)=30 Succeeded, w=57\",\"Add (2,4)=35 Succeeded, w=92\",\"Add (0,1)=40 Succeeded, w=132\",\"Add (0,3)=40 Succeeded, w=172\",\"Add (1,2)=44 Failed, w=172\",\"Add (1,4)=46 Failed, w=172\",\"Add (3,4)=54 Failed, w=172\",\"Add (1,5)=57 Failed, w=172\",\"Add (1,7)=61 Failed, w=172\",\"Add (3,5)=72 Failed, w=172\",\"Add (1,6)=79 Succeeded, w=251\",\"Add (4,7)=81 Failed, w=251\",\"Add (5,6)=82 Failed, w=251\",\"Add (1,3)=87 Failed, w=251\",\"Add (2,3)=91 Failed, w=251\",\"Add (2,5)=93 Failed, w=251\",\"Add (4,6)=100 Failed, w=251\"],\"Answer\":251}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,2,1],[0,3,40],[0,7,26],[1,2,44],[1,3,87],[1,4,46],[1,5,57],[1,6,79],[1,7,61],[2,3,91],[2,4,35],[2,5,93],[3,4,54],[3,5,72],[4,5,30],[4,6,100],[4,7,81],[5,6,82]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=1,(0,7)=26,(4,5)=30,(2,4)=35,(0,1)=40,(0,3)=40,(1,2)=44,(1,4)=46,(3,4)=54,(1,5)=57,(1,7)=61,(3,5)=72,(1,6)=79,(4,7)=81,(5,6)=82,(1,3)=87,(2,3)=91,(2,5)=93,(4,6)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(0)=0, Find(7)=7, Add (0,7)=26 Succeeded, w=27\",\"Find(4)=4, Find(5)=5, Add (4,5)=30 Succeeded, w=57\",\"Find(2)=0, Find(4)=4, Add (2,4)=35 Succeeded, w=92\",\"Find(0)=0, Find(1)=1, Add (0,1)=40 Succeeded, w=132\",\"Find(0)=0, Find(3)=3, Add (0,3)=40 Succeeded, w=172\",\"Find(1)=0, Find(2)=0, Add (1,2)=44 Failed, w=172\",\"Find(1)=0, Find(4)=0, Add (1,4)=46 Failed, w=172\",\"Find(3)=0, Find(4)=0, Add (3,4)=54 Failed, w=172\",\"Find(1)=0, Find(5)=0, Add (1,5)=57 Failed, w=172\",\"Find(1)=0, Find(7)=0, Add (1,7)=61 Failed, w=172\",\"Find(3)=0, Find(5)=0, Add (3,5)=72 Failed, w=172\",\"Find(1)=0, Find(6)=6, Add (1,6)=79 Succeeded, w=251\",\"Find(4)=0, Find(7)=0, Add (4,7)=81 Failed, w=251\",\"Find(5)=0, Find(6)=0, Add (5,6)=82 Failed, w=251\",\"Find(1)=0, Find(3)=0, Add (1,3)=87 Failed, w=251\",\"Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=251\",\"Find(2)=0, Find(5)=0, Add (2,5)=93 Failed, w=251\",\"Find(4)=0, Find(6)=0, Add (4,6)=100 Failed, w=251\"],\"Answer\":251}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,2,1],[0,3,40],[0,7,26],[1,2,44],[1,3,87],[1,4,46],[1,5,57],[1,6,79],[1,7,61],[2,3,91],[2,4,35],[2,5,93],[3,4,54],[3,5,72],[4,5,30],[4,6,100],[4,7,81],[5,6,82]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=1,(0,7)=26,(4,5)=30,(2,4)=35,(0,1)=40,(0,3)=40,(1,2)=44,(1,4)=46,(3,4)=54,(1,5)=57,(1,7)=61,(3,5)=72,(1,6)=79,(4,7)=81,(5,6)=82,(1,3)=87,(2,3)=91,(2,5)=93,(4,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=26 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 4, 6: 6, 7: 0}, Find(4)=4, Find(5)=5, Add (4,5)=30 Succeeded, w=57\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 4, 6: 6, 7: 0}, Find(2)=0, Find(4)=4, Add (2,4)=35 Succeeded, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 4, 6: 6, 7: 0}, Find(0)=0, Find(1)=1, Add (0,1)=40 Succeeded, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 6, 7: 0}, Find(0)=0, Find(3)=3, Add (0,3)=40 Succeeded, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 6, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=44 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 6, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=46 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 6, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=54 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=57 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=61 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=72 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=6, Add (1,6)=79 Succeeded, w=251\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=81 Failed, w=251\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=82 Failed, w=251\",\"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)=87 Failed, w=251\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=251\",\"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)=93 Failed, w=251\",\"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)=100 Failed, w=251\"],\"Answer\":251}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,5],[0,2,98],[0,3,16],[0,4,34],[0,5,100],[0,6,56],[0,7,11],[1,2,84],[1,3,23],[1,4,65],[1,5,64],[1,6,25],[1,7,97],[2,3,10],[2,4,93],[2,5,67],[2,6,97],[2,7,35],[3,4,90],[3,5,90],[3,6,48],[3,7,97],[4,5,27],[4,6,67],[4,7,19],[5,6,11],[5,7,49],[6,7,89]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,98],[0,3,16],[0,4,34],[0,5,100],[0,6,56],[0,7,11],[1,2,84],[1,3,23],[1,4,65],[1,5,64],[1,6,25],[1,7,97],[2,3,10],[2,4,93],[2,5,67],[2,6,97],[2,7,35],[3,4,90],[3,5,90],[3,6,48],[3,7,97],[4,5,27],[4,6,67],[4,7,19],[5,6,11],[5,7,49],[6,7,89]]}", "role": "user" }, { "content": "{\"Answer\":97}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,98],[0,3,16],[0,4,34],[0,5,100],[0,6,56],[0,7,11],[1,2,84],[1,3,23],[1,4,65],[1,5,64],[1,6,25],[1,7,97],[2,3,10],[2,4,93],[2,5,67],[2,6,97],[2,7,35],[3,4,90],[3,5,90],[3,6,48],[3,7,97],[4,5,27],[4,6,67],[4,7,19],[5,6,11],[5,7,49],[6,7,89]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (0,7)\",\"Add (5,6)\",\"Add (0,3)\",\"Add (4,7)\",\"Add (1,6)\"],\"Answer\":97}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,98],[0,3,16],[0,4,34],[0,5,100],[0,6,56],[0,7,11],[1,2,84],[1,3,23],[1,4,65],[1,5,64],[1,6,25],[1,7,97],[2,3,10],[2,4,93],[2,5,67],[2,6,97],[2,7,35],[3,4,90],[3,5,90],[3,6,48],[3,7,97],[4,5,27],[4,6,67],[4,7,19],[5,6,11],[5,7,49],[6,7,89]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=5, w=5\",\"Add (2,3)=10, w=15\",\"Add (0,7)=11, w=26\",\"Add (5,6)=11, w=37\",\"Add (0,3)=16, w=53\",\"Add (4,7)=19, w=72\",\"Add (1,6)=25, w=97\"],\"Answer\":97}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,98],[0,3,16],[0,4,34],[0,5,100],[0,6,56],[0,7,11],[1,2,84],[1,3,23],[1,4,65],[1,5,64],[1,6,25],[1,7,97],[2,3,10],[2,4,93],[2,5,67],[2,6,97],[2,7,35],[3,4,90],[3,5,90],[3,6,48],[3,7,97],[4,5,27],[4,6,67],[4,7,19],[5,6,11],[5,7,49],[6,7,89]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=5 Succeeded, w=5\",\"Add (2,3)=10 Succeeded, w=15\",\"Add (0,7)=11 Succeeded, w=26\",\"Add (5,6)=11 Succeeded, w=37\",\"Add (0,3)=16 Succeeded, w=53\",\"Add (4,7)=19 Succeeded, w=72\",\"Add (1,3)=23 Failed, w=72\",\"Add (1,6)=25 Succeeded, w=97\",\"Add (4,5)=27 Failed, w=97\",\"Add (0,4)=34 Failed, w=97\",\"Add (2,7)=35 Failed, w=97\",\"Add (3,6)=48 Failed, w=97\",\"Add (5,7)=49 Failed, w=97\",\"Add (0,6)=56 Failed, w=97\",\"Add (1,5)=64 Failed, w=97\",\"Add (1,4)=65 Failed, w=97\",\"Add (2,5)=67 Failed, w=97\",\"Add (4,6)=67 Failed, w=97\",\"Add (1,2)=84 Failed, w=97\",\"Add (6,7)=89 Failed, w=97\",\"Add (3,4)=90 Failed, w=97\",\"Add (3,5)=90 Failed, w=97\",\"Add (2,4)=93 Failed, w=97\",\"Add (1,7)=97 Failed, w=97\",\"Add (2,6)=97 Failed, w=97\",\"Add (3,7)=97 Failed, w=97\",\"Add (0,2)=98 Failed, w=97\",\"Add (0,5)=100 Failed, w=97\"],\"Answer\":97}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,98],[0,3,16],[0,4,34],[0,5,100],[0,6,56],[0,7,11],[1,2,84],[1,3,23],[1,4,65],[1,5,64],[1,6,25],[1,7,97],[2,3,10],[2,4,93],[2,5,67],[2,6,97],[2,7,35],[3,4,90],[3,5,90],[3,6,48],[3,7,97],[4,5,27],[4,6,67],[4,7,19],[5,6,11],[5,7,49],[6,7,89]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=5,(2,3)=10,(0,7)=11,(5,6)=11,(0,3)=16,(4,7)=19,(1,3)=23,(1,6)=25,(4,5)=27,(0,4)=34,(2,7)=35,(3,6)=48,(5,7)=49,(0,6)=56,(1,5)=64,(1,4)=65,(2,5)=67,(4,6)=67,(1,2)=84,(6,7)=89,(3,4)=90,(3,5)=90,(2,4)=93,(1,7)=97,(2,6)=97,(3,7)=97,(0,2)=98,(0,5)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=15\",\"Find(0)=0, Find(7)=7, Add (0,7)=11 Succeeded, w=26\",\"Find(5)=5, Find(6)=6, Add (5,6)=11 Succeeded, w=37\",\"Find(0)=0, Find(3)=2, Add (0,3)=16 Succeeded, w=53\",\"Find(4)=4, Find(7)=0, Add (4,7)=19 Succeeded, w=72\",\"Find(1)=0, Find(3)=0, Add (1,3)=23 Failed, w=72\",\"Find(1)=0, Find(6)=5, Add (1,6)=25 Succeeded, w=97\",\"Find(4)=0, Find(5)=0, Add (4,5)=27 Failed, w=97\",\"Find(0)=0, Find(4)=0, Add (0,4)=34 Failed, w=97\",\"Find(2)=0, Find(7)=0, Add (2,7)=35 Failed, w=97\",\"Find(3)=0, Find(6)=0, Add (3,6)=48 Failed, w=97\",\"Find(5)=0, Find(7)=0, Add (5,7)=49 Failed, w=97\",\"Find(0)=0, Find(6)=0, Add (0,6)=56 Failed, w=97\",\"Find(1)=0, Find(5)=0, Add (1,5)=64 Failed, w=97\",\"Find(1)=0, Find(4)=0, Add (1,4)=65 Failed, w=97\",\"Find(2)=0, Find(5)=0, Add (2,5)=67 Failed, w=97\",\"Find(4)=0, Find(6)=0, Add (4,6)=67 Failed, w=97\",\"Find(1)=0, Find(2)=0, Add (1,2)=84 Failed, w=97\",\"Find(6)=0, Find(7)=0, Add (6,7)=89 Failed, w=97\",\"Find(3)=0, Find(4)=0, Add (3,4)=90 Failed, w=97\",\"Find(3)=0, Find(5)=0, Add (3,5)=90 Failed, w=97\",\"Find(2)=0, Find(4)=0, Add (2,4)=93 Failed, w=97\",\"Find(1)=0, Find(7)=0, Add (1,7)=97 Failed, w=97\",\"Find(2)=0, Find(6)=0, Add (2,6)=97 Failed, w=97\",\"Find(3)=0, Find(7)=0, Add (3,7)=97 Failed, w=97\",\"Find(0)=0, Find(2)=0, Add (0,2)=98 Failed, w=97\",\"Find(0)=0, Find(5)=0, Add (0,5)=100 Failed, w=97\"],\"Answer\":97}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,98],[0,3,16],[0,4,34],[0,5,100],[0,6,56],[0,7,11],[1,2,84],[1,3,23],[1,4,65],[1,5,64],[1,6,25],[1,7,97],[2,3,10],[2,4,93],[2,5,67],[2,6,97],[2,7,35],[3,4,90],[3,5,90],[3,6,48],[3,7,97],[4,5,27],[4,6,67],[4,7,19],[5,6,11],[5,7,49],[6,7,89]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=5,(2,3)=10,(0,7)=11,(5,6)=11,(0,3)=16,(4,7)=19,(1,3)=23,(1,6)=25,(4,5)=27,(0,4)=34,(2,7)=35,(3,6)=48,(5,7)=49,(0,6)=56,(1,5)=64,(1,4)=65,(2,5)=67,(4,6)=67,(1,2)=84,(6,7)=89,(3,4)=90,(3,5)=90,(2,4)=93,(1,7)=97,(2,6)=97,(3,7)=97,(0,2)=98,(0,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=11 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 5, 6: 5, 7: 0}, Find(5)=5, Find(6)=6, Add (5,6)=11 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4, 5: 5, 6: 5, 7: 0}, Find(0)=0, Find(3)=2, Add (0,3)=16 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 5, 6: 5, 7: 0}, Find(4)=4, Find(7)=0, Add (4,7)=19 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 5, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=23 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 0}, Find(1)=0, Find(6)=5, Add (1,6)=25 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=27 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=34 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=35 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=48 Failed, w=97\",\"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)=49 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=56 Failed, w=97\",\"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)=64 Failed, w=97\",\"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)=65 Failed, w=97\",\"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)=67 Failed, w=97\",\"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)=67 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=84 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=89 Failed, w=97\",\"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)=90 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=90 Failed, w=97\",\"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)=93 Failed, w=97\",\"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)=97 Failed, w=97\",\"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)=97 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=97 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=98 Failed, w=97\",\"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)=100 Failed, w=97\"],\"Answer\":97}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,75],[0,3,83],[0,6,69],[1,2,32],[1,3,74],[1,4,86],[1,5,13],[2,3,65],[2,5,70],[2,6,60],[2,7,24],[3,6,2],[3,7,68],[4,7,58],[5,7,4],[6,7,47]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,3,83],[0,6,69],[1,2,32],[1,3,74],[1,4,86],[1,5,13],[2,3,65],[2,5,70],[2,6,60],[2,7,24],[3,6,2],[3,7,68],[4,7,58],[5,7,4],[6,7,47]]}", "role": "user" }, { "content": "{\"Answer\":217}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,3,83],[0,6,69],[1,2,32],[1,3,74],[1,4,86],[1,5,13],[2,3,65],[2,5,70],[2,6,60],[2,7,24],[3,6,2],[3,7,68],[4,7,58],[5,7,4],[6,7,47]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)\",\"Add (5,7)\",\"Add (1,5)\",\"Add (2,7)\",\"Add (6,7)\",\"Add (4,7)\",\"Add (0,6)\"],\"Answer\":217}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,3,83],[0,6,69],[1,2,32],[1,3,74],[1,4,86],[1,5,13],[2,3,65],[2,5,70],[2,6,60],[2,7,24],[3,6,2],[3,7,68],[4,7,58],[5,7,4],[6,7,47]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)=2, w=2\",\"Add (5,7)=4, w=6\",\"Add (1,5)=13, w=19\",\"Add (2,7)=24, w=43\",\"Add (6,7)=47, w=90\",\"Add (4,7)=58, w=148\",\"Add (0,6)=69, w=217\"],\"Answer\":217}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,3,83],[0,6,69],[1,2,32],[1,3,74],[1,4,86],[1,5,13],[2,3,65],[2,5,70],[2,6,60],[2,7,24],[3,6,2],[3,7,68],[4,7,58],[5,7,4],[6,7,47]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)=2 Succeeded, w=2\",\"Add (5,7)=4 Succeeded, w=6\",\"Add (1,5)=13 Succeeded, w=19\",\"Add (2,7)=24 Succeeded, w=43\",\"Add (1,2)=32 Failed, w=43\",\"Add (6,7)=47 Succeeded, w=90\",\"Add (4,7)=58 Succeeded, w=148\",\"Add (2,6)=60 Failed, w=148\",\"Add (2,3)=65 Failed, w=148\",\"Add (3,7)=68 Failed, w=148\",\"Add (0,6)=69 Succeeded, w=217\",\"Add (2,5)=70 Failed, w=217\",\"Add (1,3)=74 Failed, w=217\",\"Add (0,2)=75 Failed, w=217\",\"Add (0,3)=83 Failed, w=217\",\"Add (1,4)=86 Failed, w=217\"],\"Answer\":217}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,3,83],[0,6,69],[1,2,32],[1,3,74],[1,4,86],[1,5,13],[2,3,65],[2,5,70],[2,6,60],[2,7,24],[3,6,2],[3,7,68],[4,7,58],[5,7,4],[6,7,47]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,6)=2,(5,7)=4,(1,5)=13,(2,7)=24,(1,2)=32,(6,7)=47,(4,7)=58,(2,6)=60,(2,3)=65,(3,7)=68,(0,6)=69,(2,5)=70,(1,3)=74,(0,2)=75,(0,3)=83,(1,4)=86]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=2 Succeeded, w=2\",\"Find(5)=5, Find(7)=7, Add (5,7)=4 Succeeded, w=6\",\"Find(1)=1, Find(5)=5, Add (1,5)=13 Succeeded, w=19\",\"Find(2)=2, Find(7)=5, Add (2,7)=24 Succeeded, w=43\",\"Find(1)=5, Find(2)=5, Add (1,2)=32 Failed, w=43\",\"Find(6)=3, Find(7)=5, Add (6,7)=47 Succeeded, w=90\",\"Find(4)=4, Find(7)=3, Add (4,7)=58 Succeeded, w=148\",\"Find(2)=3, Find(6)=3, Add (2,6)=60 Failed, w=148\",\"Find(2)=3, Find(3)=3, Add (2,3)=65 Failed, w=148\",\"Find(3)=3, Find(7)=3, Add (3,7)=68 Failed, w=148\",\"Find(0)=0, Find(6)=3, Add (0,6)=69 Succeeded, w=217\",\"Find(2)=3, Find(5)=3, Add (2,5)=70 Failed, w=217\",\"Find(1)=3, Find(3)=3, Add (1,3)=74 Failed, w=217\",\"Find(0)=3, Find(2)=3, Add (0,2)=75 Failed, w=217\",\"Find(0)=3, Find(3)=3, Add (0,3)=83 Failed, w=217\",\"Find(1)=3, Find(4)=3, Add (1,4)=86 Failed, w=217\"],\"Answer\":217}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,3,83],[0,6,69],[1,2,32],[1,3,74],[1,4,86],[1,5,13],[2,3,65],[2,5,70],[2,6,60],[2,7,24],[3,6,2],[3,7,68],[4,7,58],[5,7,4],[6,7,47]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,6)=2,(5,7)=4,(1,5)=13,(2,7)=24,(1,2)=32,(6,7)=47,(4,7)=58,(2,6)=60,(2,3)=65,(3,7)=68,(0,6)=69,(2,5)=70,(1,3)=74,(0,2)=75,(0,3)=83,(1,4)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 5}, Find(1)=1, Find(5)=5, Add (1,5)=13 Succeeded, w=19\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 3, 4: 4, 5: 5, 6: 3, 7: 5}, Find(2)=2, Find(7)=5, Add (2,7)=24 Succeeded, w=43\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 3, 4: 4, 5: 5, 6: 3, 7: 5}, Find(1)=5, Find(2)=5, Add (1,2)=32 Failed, w=43\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 3, 4: 4, 5: 3, 6: 3, 7: 5}, Find(6)=3, Find(7)=5, Add (6,7)=47 Succeeded, w=90\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=4, Find(7)=3, Add (4,7)=58 Succeeded, w=148\",\"Parent: {0: 0, 1: 5, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(6)=3, Add (2,6)=60 Failed, w=148\",\"Parent: {0: 0, 1: 5, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=65 Failed, w=148\",\"Parent: {0: 0, 1: 5, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=68 Failed, w=148\",\"Parent: {0: 3, 1: 5, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=0, Find(6)=3, Add (0,6)=69 Succeeded, w=217\",\"Parent: {0: 3, 1: 5, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(5)=3, Add (2,5)=70 Failed, w=217\",\"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)=74 Failed, w=217\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(2)=3, Add (0,2)=75 Failed, w=217\",\"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)=83 Failed, w=217\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=86 Failed, w=217\"],\"Answer\":217}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,14],[0,2,54],[0,3,37],[0,4,39],[0,5,80],[1,4,94],[2,3,93],[2,4,3],[2,5,33],[3,4,31],[3,5,0],[4,5,25]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,54],[0,3,37],[0,4,39],[0,5,80],[1,4,94],[2,3,93],[2,4,3],[2,5,33],[3,4,31],[3,5,0],[4,5,25]]}", "role": "user" }, { "content": "{\"Answer\":79}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,54],[0,3,37],[0,4,39],[0,5,80],[1,4,94],[2,3,93],[2,4,3],[2,5,33],[3,4,31],[3,5,0],[4,5,25]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)\",\"Add (2,4)\",\"Add (0,1)\",\"Add (4,5)\",\"Add (0,3)\"],\"Answer\":79}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,54],[0,3,37],[0,4,39],[0,5,80],[1,4,94],[2,3,93],[2,4,3],[2,5,33],[3,4,31],[3,5,0],[4,5,25]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=0, w=0\",\"Add (2,4)=3, w=3\",\"Add (0,1)=14, w=17\",\"Add (4,5)=25, w=42\",\"Add (0,3)=37, w=79\"],\"Answer\":79}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,54],[0,3,37],[0,4,39],[0,5,80],[1,4,94],[2,3,93],[2,4,3],[2,5,33],[3,4,31],[3,5,0],[4,5,25]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=0 Succeeded, w=0\",\"Add (2,4)=3 Succeeded, w=3\",\"Add (0,1)=14 Succeeded, w=17\",\"Add (4,5)=25 Succeeded, w=42\",\"Add (3,4)=31 Failed, w=42\",\"Add (2,5)=33 Failed, w=42\",\"Add (0,3)=37 Succeeded, w=79\",\"Add (0,4)=39 Failed, w=79\",\"Add (0,2)=54 Failed, w=79\",\"Add (0,5)=80 Failed, w=79\",\"Add (2,3)=93 Failed, w=79\",\"Add (1,4)=94 Failed, w=79\"],\"Answer\":79}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,54],[0,3,37],[0,4,39],[0,5,80],[1,4,94],[2,3,93],[2,4,3],[2,5,33],[3,4,31],[3,5,0],[4,5,25]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=0,(2,4)=3,(0,1)=14,(4,5)=25,(3,4)=31,(2,5)=33,(0,3)=37,(0,4)=39,(0,2)=54,(0,5)=80,(2,3)=93,(1,4)=94]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=17\",\"Find(4)=2, Find(5)=3, Add (4,5)=25 Succeeded, w=42\",\"Find(3)=2, Find(4)=2, Add (3,4)=31 Failed, w=42\",\"Find(2)=2, Find(5)=2, Add (2,5)=33 Failed, w=42\",\"Find(0)=0, Find(3)=2, Add (0,3)=37 Succeeded, w=79\",\"Find(0)=2, Find(4)=2, Add (0,4)=39 Failed, w=79\",\"Find(0)=2, Find(2)=2, Add (0,2)=54 Failed, w=79\",\"Find(0)=2, Find(5)=2, Add (0,5)=80 Failed, w=79\",\"Find(2)=2, Find(3)=2, Add (2,3)=93 Failed, w=79\",\"Find(1)=2, Find(4)=2, Add (1,4)=94 Failed, w=79\"],\"Answer\":79}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,54],[0,3,37],[0,4,39],[0,5,80],[1,4,94],[2,3,93],[2,4,3],[2,5,33],[3,4,31],[3,5,0],[4,5,25]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=0,(2,4)=3,(0,1)=14,(4,5)=25,(3,4)=31,(2,5)=33,(0,3)=37,(0,4)=39,(0,2)=54,(0,5)=80,(2,3)=93,(1,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3}, Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 3}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 3}, Find(4)=2, Find(5)=3, Add (4,5)=25 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 3}, Find(3)=2, Find(4)=2, Add (3,4)=31 Failed, w=42\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=33 Failed, w=42\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(3)=2, Add (0,3)=37 Succeeded, w=79\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=39 Failed, w=79\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=54 Failed, w=79\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=80 Failed, w=79\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=93 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=94 Failed, w=79\"],\"Answer\":79}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,53],[0,2,50],[0,3,39],[0,4,57],[0,5,68],[0,6,57],[1,2,31],[1,3,37],[1,4,16],[1,5,78],[1,6,6],[2,3,81],[2,4,4],[2,5,73],[2,6,65],[3,4,43],[3,5,41],[3,6,79],[4,6,5],[5,6,58]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,50],[0,3,39],[0,4,57],[0,5,68],[0,6,57],[1,2,31],[1,3,37],[1,4,16],[1,5,78],[1,6,6],[2,3,81],[2,4,4],[2,5,73],[2,6,65],[3,4,43],[3,5,41],[3,6,79],[4,6,5],[5,6,58]]}", "role": "user" }, { "content": "{\"Answer\":132}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,50],[0,3,39],[0,4,57],[0,5,68],[0,6,57],[1,2,31],[1,3,37],[1,4,16],[1,5,78],[1,6,6],[2,3,81],[2,4,4],[2,5,73],[2,6,65],[3,4,43],[3,5,41],[3,6,79],[4,6,5],[5,6,58]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)\",\"Add (4,6)\",\"Add (1,6)\",\"Add (1,3)\",\"Add (0,3)\",\"Add (3,5)\"],\"Answer\":132}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,50],[0,3,39],[0,4,57],[0,5,68],[0,6,57],[1,2,31],[1,3,37],[1,4,16],[1,5,78],[1,6,6],[2,3,81],[2,4,4],[2,5,73],[2,6,65],[3,4,43],[3,5,41],[3,6,79],[4,6,5],[5,6,58]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=4, w=4\",\"Add (4,6)=5, w=9\",\"Add (1,6)=6, w=15\",\"Add (1,3)=37, w=52\",\"Add (0,3)=39, w=91\",\"Add (3,5)=41, w=132\"],\"Answer\":132}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,50],[0,3,39],[0,4,57],[0,5,68],[0,6,57],[1,2,31],[1,3,37],[1,4,16],[1,5,78],[1,6,6],[2,3,81],[2,4,4],[2,5,73],[2,6,65],[3,4,43],[3,5,41],[3,6,79],[4,6,5],[5,6,58]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,4)=4 Succeeded, w=4\",\"Add (4,6)=5 Succeeded, w=9\",\"Add (1,6)=6 Succeeded, w=15\",\"Add (1,4)=16 Failed, w=15\",\"Add (1,2)=31 Failed, w=15\",\"Add (1,3)=37 Succeeded, w=52\",\"Add (0,3)=39 Succeeded, w=91\",\"Add (3,5)=41 Succeeded, w=132\",\"Add (3,4)=43 Failed, w=132\",\"Add (0,2)=50 Failed, w=132\",\"Add (0,1)=53 Failed, w=132\",\"Add (0,4)=57 Failed, w=132\",\"Add (0,6)=57 Failed, w=132\",\"Add (5,6)=58 Failed, w=132\",\"Add (2,6)=65 Failed, w=132\",\"Add (0,5)=68 Failed, w=132\",\"Add (2,5)=73 Failed, w=132\",\"Add (1,5)=78 Failed, w=132\",\"Add (3,6)=79 Failed, w=132\",\"Add (2,3)=81 Failed, w=132\"],\"Answer\":132}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,50],[0,3,39],[0,4,57],[0,5,68],[0,6,57],[1,2,31],[1,3,37],[1,4,16],[1,5,78],[1,6,6],[2,3,81],[2,4,4],[2,5,73],[2,6,65],[3,4,43],[3,5,41],[3,6,79],[4,6,5],[5,6,58]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=4,(4,6)=5,(1,6)=6,(1,4)=16,(1,2)=31,(1,3)=37,(0,3)=39,(3,5)=41,(3,4)=43,(0,2)=50,(0,1)=53,(0,4)=57,(0,6)=57,(5,6)=58,(2,6)=65,(0,5)=68,(2,5)=73,(1,5)=78,(3,6)=79,(2,3)=81]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Find(4)=2, Find(6)=6, Add (4,6)=5 Succeeded, w=9\",\"Find(1)=1, Find(6)=2, Add (1,6)=6 Succeeded, w=15\",\"Find(1)=2, Find(4)=2, Add (1,4)=16 Failed, w=15\",\"Find(1)=2, Find(2)=2, Add (1,2)=31 Failed, w=15\",\"Find(1)=2, Find(3)=3, Add (1,3)=37 Succeeded, w=52\",\"Find(0)=0, Find(3)=2, Add (0,3)=39 Succeeded, w=91\",\"Find(3)=2, Find(5)=5, Add (3,5)=41 Succeeded, w=132\",\"Find(3)=2, Find(4)=2, Add (3,4)=43 Failed, w=132\",\"Find(0)=2, Find(2)=2, Add (0,2)=50 Failed, w=132\",\"Find(0)=2, Find(1)=2, Add (0,1)=53 Failed, w=132\",\"Find(0)=2, Find(4)=2, Add (0,4)=57 Failed, w=132\",\"Find(0)=2, Find(6)=2, Add (0,6)=57 Failed, w=132\",\"Find(5)=2, Find(6)=2, Add (5,6)=58 Failed, w=132\",\"Find(2)=2, Find(6)=2, Add (2,6)=65 Failed, w=132\",\"Find(0)=2, Find(5)=2, Add (0,5)=68 Failed, w=132\",\"Find(2)=2, Find(5)=2, Add (2,5)=73 Failed, w=132\",\"Find(1)=2, Find(5)=2, Add (1,5)=78 Failed, w=132\",\"Find(3)=2, Find(6)=2, Add (3,6)=79 Failed, w=132\",\"Find(2)=2, Find(3)=2, Add (2,3)=81 Failed, w=132\"],\"Answer\":132}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,50],[0,3,39],[0,4,57],[0,5,68],[0,6,57],[1,2,31],[1,3,37],[1,4,16],[1,5,78],[1,6,6],[2,3,81],[2,4,4],[2,5,73],[2,6,65],[3,4,43],[3,5,41],[3,6,79],[4,6,5],[5,6,58]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,4)=4,(4,6)=5,(1,6)=6,(1,4)=16,(1,2)=31,(1,3)=37,(0,3)=39,(3,5)=41,(3,4)=43,(0,2)=50,(0,1)=53,(0,4)=57,(0,6)=57,(5,6)=58,(2,6)=65,(0,5)=68,(2,5)=73,(1,5)=78,(3,6)=79,(2,3)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2}, Find(4)=2, Find(6)=6, Add (4,6)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2}, Find(1)=1, Find(6)=2, Add (1,6)=6 Succeeded, w=15\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=16 Failed, w=15\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=31 Failed, w=15\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(1)=2, Find(3)=3, Add (1,3)=37 Succeeded, w=52\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(0)=0, Find(3)=2, Add (0,3)=39 Succeeded, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=5, Add (3,5)=41 Succeeded, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=43 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=50 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=53 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=57 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=57 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=58 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=65 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=68 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=73 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=78 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=79 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=81 Failed, w=132\"],\"Answer\":132}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,19],[0,2,73],[0,3,27],[0,4,74],[0,5,61],[1,2,79],[1,3,49],[1,4,73],[1,5,7],[2,3,6],[2,4,12],[2,5,19],[3,4,31],[3,5,83],[4,5,27]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,19],[0,2,73],[0,3,27],[0,4,74],[0,5,61],[1,2,79],[1,3,49],[1,4,73],[1,5,7],[2,3,6],[2,4,12],[2,5,19],[3,4,31],[3,5,83],[4,5,27]]}", "role": "user" }, { "content": "{\"Answer\":63}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,19],[0,2,73],[0,3,27],[0,4,74],[0,5,61],[1,2,79],[1,3,49],[1,4,73],[1,5,7],[2,3,6],[2,4,12],[2,5,19],[3,4,31],[3,5,83],[4,5,27]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (1,5)\",\"Add (2,4)\",\"Add (0,1)\",\"Add (2,5)\"],\"Answer\":63}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,19],[0,2,73],[0,3,27],[0,4,74],[0,5,61],[1,2,79],[1,3,49],[1,4,73],[1,5,7],[2,3,6],[2,4,12],[2,5,19],[3,4,31],[3,5,83],[4,5,27]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=6, w=6\",\"Add (1,5)=7, w=13\",\"Add (2,4)=12, w=25\",\"Add (0,1)=19, w=44\",\"Add (2,5)=19, w=63\"],\"Answer\":63}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,19],[0,2,73],[0,3,27],[0,4,74],[0,5,61],[1,2,79],[1,3,49],[1,4,73],[1,5,7],[2,3,6],[2,4,12],[2,5,19],[3,4,31],[3,5,83],[4,5,27]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=6 Succeeded, w=6\",\"Add (1,5)=7 Succeeded, w=13\",\"Add (2,4)=12 Succeeded, w=25\",\"Add (0,1)=19 Succeeded, w=44\",\"Add (2,5)=19 Succeeded, w=63\",\"Add (0,3)=27 Failed, w=63\",\"Add (4,5)=27 Failed, w=63\",\"Add (3,4)=31 Failed, w=63\",\"Add (1,3)=49 Failed, w=63\",\"Add (0,5)=61 Failed, w=63\",\"Add (0,2)=73 Failed, w=63\",\"Add (1,4)=73 Failed, w=63\",\"Add (0,4)=74 Failed, w=63\",\"Add (1,2)=79 Failed, w=63\",\"Add (3,5)=83 Failed, w=63\"],\"Answer\":63}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,19],[0,2,73],[0,3,27],[0,4,74],[0,5,61],[1,2,79],[1,3,49],[1,4,73],[1,5,7],[2,3,6],[2,4,12],[2,5,19],[3,4,31],[3,5,83],[4,5,27]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=6,(1,5)=7,(2,4)=12,(0,1)=19,(2,5)=19,(0,3)=27,(4,5)=27,(3,4)=31,(1,3)=49,(0,5)=61,(0,2)=73,(1,4)=73,(0,4)=74,(1,2)=79,(3,5)=83]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=6\",\"Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=13\",\"Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=25\",\"Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=44\",\"Find(2)=2, Find(5)=1, Add (2,5)=19 Succeeded, w=63\",\"Find(0)=2, Find(3)=2, Add (0,3)=27 Failed, w=63\",\"Find(4)=2, Find(5)=2, Add (4,5)=27 Failed, w=63\",\"Find(3)=2, Find(4)=2, Add (3,4)=31 Failed, w=63\",\"Find(1)=2, Find(3)=2, Add (1,3)=49 Failed, w=63\",\"Find(0)=2, Find(5)=2, Add (0,5)=61 Failed, w=63\",\"Find(0)=2, Find(2)=2, Add (0,2)=73 Failed, w=63\",\"Find(1)=2, Find(4)=2, Add (1,4)=73 Failed, w=63\",\"Find(0)=2, Find(4)=2, Add (0,4)=74 Failed, w=63\",\"Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=63\",\"Find(3)=2, Find(5)=2, Add (3,5)=83 Failed, w=63\"],\"Answer\":63}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,19],[0,2,73],[0,3,27],[0,4,74],[0,5,61],[1,2,79],[1,3,49],[1,4,73],[1,5,7],[2,3,6],[2,4,12],[2,5,19],[3,4,31],[3,5,83],[4,5,27]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=6,(1,5)=7,(2,4)=12,(0,1)=19,(2,5)=19,(0,3)=27,(4,5)=27,(3,4)=31,(1,3)=49,(0,5)=61,(0,2)=73,(1,4)=73,(0,4)=74,(1,2)=79,(3,5)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1}, Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=25\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=44\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(2)=2, Find(5)=1, Add (2,5)=19 Succeeded, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(0)=2, Find(3)=2, Add (0,3)=27 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=27 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=31 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=49 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=61 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=73 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=73 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=74 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=83 Failed, w=63\"],\"Answer\":63}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,73],[0,2,42],[0,3,81],[0,5,52],[0,6,59],[1,2,47],[1,3,36],[1,4,90],[1,5,0],[1,6,33],[2,4,56],[2,5,54],[2,6,71],[3,6,76],[4,5,69],[5,6,56]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,42],[0,3,81],[0,5,52],[0,6,59],[1,2,47],[1,3,36],[1,4,90],[1,5,0],[1,6,33],[2,4,56],[2,5,54],[2,6,71],[3,6,76],[4,5,69],[5,6,56]]}", "role": "user" }, { "content": "{\"Answer\":214}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,42],[0,3,81],[0,5,52],[0,6,59],[1,2,47],[1,3,36],[1,4,90],[1,5,0],[1,6,33],[2,4,56],[2,5,54],[2,6,71],[3,6,76],[4,5,69],[5,6,56]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)\",\"Add (1,6)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (2,4)\"],\"Answer\":214}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,42],[0,3,81],[0,5,52],[0,6,59],[1,2,47],[1,3,36],[1,4,90],[1,5,0],[1,6,33],[2,4,56],[2,5,54],[2,6,71],[3,6,76],[4,5,69],[5,6,56]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)=0, w=0\",\"Add (1,6)=33, w=33\",\"Add (1,3)=36, w=69\",\"Add (0,2)=42, w=111\",\"Add (1,2)=47, w=158\",\"Add (2,4)=56, w=214\"],\"Answer\":214}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,42],[0,3,81],[0,5,52],[0,6,59],[1,2,47],[1,3,36],[1,4,90],[1,5,0],[1,6,33],[2,4,56],[2,5,54],[2,6,71],[3,6,76],[4,5,69],[5,6,56]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)=0 Succeeded, w=0\",\"Add (1,6)=33 Succeeded, w=33\",\"Add (1,3)=36 Succeeded, w=69\",\"Add (0,2)=42 Succeeded, w=111\",\"Add (1,2)=47 Succeeded, w=158\",\"Add (0,5)=52 Failed, w=158\",\"Add (2,5)=54 Failed, w=158\",\"Add (2,4)=56 Succeeded, w=214\",\"Add (5,6)=56 Failed, w=214\",\"Add (0,6)=59 Failed, w=214\",\"Add (4,5)=69 Failed, w=214\",\"Add (2,6)=71 Failed, w=214\",\"Add (0,1)=73 Failed, w=214\",\"Add (3,6)=76 Failed, w=214\",\"Add (0,3)=81 Failed, w=214\",\"Add (1,4)=90 Failed, w=214\"],\"Answer\":214}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,42],[0,3,81],[0,5,52],[0,6,59],[1,2,47],[1,3,36],[1,4,90],[1,5,0],[1,6,33],[2,4,56],[2,5,54],[2,6,71],[3,6,76],[4,5,69],[5,6,56]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,5)=0,(1,6)=33,(1,3)=36,(0,2)=42,(1,2)=47,(0,5)=52,(2,5)=54,(2,4)=56,(5,6)=56,(0,6)=59,(4,5)=69,(2,6)=71,(0,1)=73,(3,6)=76,(0,3)=81,(1,4)=90]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Find(1)=1, Find(6)=6, Add (1,6)=33 Succeeded, w=33\",\"Find(1)=1, Find(3)=3, Add (1,3)=36 Succeeded, w=69\",\"Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=111\",\"Find(1)=1, Find(2)=0, Add (1,2)=47 Succeeded, w=158\",\"Find(0)=1, Find(5)=1, Add (0,5)=52 Failed, w=158\",\"Find(2)=1, Find(5)=1, Add (2,5)=54 Failed, w=158\",\"Find(2)=1, Find(4)=4, Add (2,4)=56 Succeeded, w=214\",\"Find(5)=1, Find(6)=1, Add (5,6)=56 Failed, w=214\",\"Find(0)=1, Find(6)=1, Add (0,6)=59 Failed, w=214\",\"Find(4)=1, Find(5)=1, Add (4,5)=69 Failed, w=214\",\"Find(2)=1, Find(6)=1, Add (2,6)=71 Failed, w=214\",\"Find(0)=1, Find(1)=1, Add (0,1)=73 Failed, w=214\",\"Find(3)=1, Find(6)=1, Add (3,6)=76 Failed, w=214\",\"Find(0)=1, Find(3)=1, Add (0,3)=81 Failed, w=214\",\"Find(1)=1, Find(4)=1, Add (1,4)=90 Failed, w=214\"],\"Answer\":214}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,42],[0,3,81],[0,5,52],[0,6,59],[1,2,47],[1,3,36],[1,4,90],[1,5,0],[1,6,33],[2,4,56],[2,5,54],[2,6,71],[3,6,76],[4,5,69],[5,6,56]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,5)=0,(1,6)=33,(1,3)=36,(0,2)=42,(1,2)=47,(0,5)=52,(2,5)=54,(2,4)=56,(5,6)=56,(0,6)=59,(4,5)=69,(2,6)=71,(0,1)=73,(3,6)=76,(0,3)=81,(1,4)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=33 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 1}, Find(1)=1, Find(3)=3, Add (1,3)=36 Succeeded, w=69\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 1, 6: 1}, Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=111\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 4, 5: 1, 6: 1}, Find(1)=1, Find(2)=0, Add (1,2)=47 Succeeded, w=158\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 4, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=52 Failed, w=158\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=54 Failed, w=158\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=4, Add (2,4)=56 Succeeded, w=214\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=56 Failed, w=214\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=59 Failed, w=214\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=69 Failed, w=214\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=71 Failed, w=214\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=73 Failed, w=214\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=76 Failed, w=214\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=81 Failed, w=214\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=90 Failed, w=214\"],\"Answer\":214}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,15],[0,4,34],[0,5,27],[0,6,69],[1,2,99],[1,3,41],[1,5,1],[2,3,93],[2,4,94],[2,5,95],[2,6,25],[3,4,48],[4,5,86],[4,6,1],[5,6,46]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,15],[0,4,34],[0,5,27],[0,6,69],[1,2,99],[1,3,41],[1,5,1],[2,3,93],[2,4,94],[2,5,95],[2,6,25],[3,4,48],[4,5,86],[4,6,1],[5,6,46]]}", "role": "user" }, { "content": "{\"Answer\":103}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,15],[0,4,34],[0,5,27],[0,6,69],[1,2,99],[1,3,41],[1,5,1],[2,3,93],[2,4,94],[2,5,95],[2,6,25],[3,4,48],[4,5,86],[4,6,1],[5,6,46]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)\",\"Add (4,6)\",\"Add (0,3)\",\"Add (2,6)\",\"Add (0,5)\",\"Add (0,4)\"],\"Answer\":103}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,15],[0,4,34],[0,5,27],[0,6,69],[1,2,99],[1,3,41],[1,5,1],[2,3,93],[2,4,94],[2,5,95],[2,6,25],[3,4,48],[4,5,86],[4,6,1],[5,6,46]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)=1, w=1\",\"Add (4,6)=1, w=2\",\"Add (0,3)=15, w=17\",\"Add (2,6)=25, w=42\",\"Add (0,5)=27, w=69\",\"Add (0,4)=34, w=103\"],\"Answer\":103}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,15],[0,4,34],[0,5,27],[0,6,69],[1,2,99],[1,3,41],[1,5,1],[2,3,93],[2,4,94],[2,5,95],[2,6,25],[3,4,48],[4,5,86],[4,6,1],[5,6,46]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)=1 Succeeded, w=1\",\"Add (4,6)=1 Succeeded, w=2\",\"Add (0,3)=15 Succeeded, w=17\",\"Add (2,6)=25 Succeeded, w=42\",\"Add (0,5)=27 Succeeded, w=69\",\"Add (0,4)=34 Succeeded, w=103\",\"Add (1,3)=41 Failed, w=103\",\"Add (5,6)=46 Failed, w=103\",\"Add (3,4)=48 Failed, w=103\",\"Add (0,6)=69 Failed, w=103\",\"Add (4,5)=86 Failed, w=103\",\"Add (2,3)=93 Failed, w=103\",\"Add (2,4)=94 Failed, w=103\",\"Add (2,5)=95 Failed, w=103\",\"Add (1,2)=99 Failed, w=103\"],\"Answer\":103}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,15],[0,4,34],[0,5,27],[0,6,69],[1,2,99],[1,3,41],[1,5,1],[2,3,93],[2,4,94],[2,5,95],[2,6,25],[3,4,48],[4,5,86],[4,6,1],[5,6,46]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,5)=1,(4,6)=1,(0,3)=15,(2,6)=25,(0,5)=27,(0,4)=34,(1,3)=41,(5,6)=46,(3,4)=48,(0,6)=69,(4,5)=86,(2,3)=93,(2,4)=94,(2,5)=95,(1,2)=99]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Find(4)=4, Find(6)=6, Add (4,6)=1 Succeeded, w=2\",\"Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=17\",\"Find(2)=2, Find(6)=4, Add (2,6)=25 Succeeded, w=42\",\"Find(0)=0, Find(5)=1, Add (0,5)=27 Succeeded, w=69\",\"Find(0)=0, Find(4)=4, Add (0,4)=34 Succeeded, w=103\",\"Find(1)=0, Find(3)=0, Add (1,3)=41 Failed, w=103\",\"Find(5)=0, Find(6)=0, Add (5,6)=46 Failed, w=103\",\"Find(3)=0, Find(4)=0, Add (3,4)=48 Failed, w=103\",\"Find(0)=0, Find(6)=0, Add (0,6)=69 Failed, w=103\",\"Find(4)=0, Find(5)=0, Add (4,5)=86 Failed, w=103\",\"Find(2)=0, Find(3)=0, Add (2,3)=93 Failed, w=103\",\"Find(2)=0, Find(4)=0, Add (2,4)=94 Failed, w=103\",\"Find(2)=0, Find(5)=0, Add (2,5)=95 Failed, w=103\",\"Find(1)=0, Find(2)=0, Add (1,2)=99 Failed, w=103\"],\"Answer\":103}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,15],[0,4,34],[0,5,27],[0,6,69],[1,2,99],[1,3,41],[1,5,1],[2,3,93],[2,4,94],[2,5,95],[2,6,25],[3,4,48],[4,5,86],[4,6,1],[5,6,46]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,5)=1,(4,6)=1,(0,3)=15,(2,6)=25,(0,5)=27,(0,4)=34,(1,3)=41,(5,6)=46,(3,4)=48,(0,6)=69,(4,5)=86,(2,3)=93,(2,4)=94,(2,5)=95,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=1 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 1, 6: 4}, Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 0, 4: 4, 5: 1, 6: 4}, Find(2)=2, Find(6)=4, Add (2,6)=25 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 4, 5: 1, 6: 4}, Find(0)=0, Find(5)=1, Add (0,5)=27 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 1, 6: 4}, Find(0)=0, Find(4)=4, Add (0,4)=34 Succeeded, w=103\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 1, 6: 4}, Find(1)=0, Find(3)=0, Add (1,3)=41 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=46 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=48 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=69 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=86 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=93 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=94 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=95 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=99 Failed, w=103\"],\"Answer\":103}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,66],[0,4,33],[0,5,60],[1,3,14],[1,4,47],[1,5,31],[2,3,0],[2,4,57],[3,4,71],[3,5,97],[4,5,20]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[0,4,33],[0,5,60],[1,3,14],[1,4,47],[1,5,31],[2,3,0],[2,4,57],[3,4,71],[3,5,97],[4,5,20]]}", "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],\"edges\":[[0,1,66],[0,4,33],[0,5,60],[1,3,14],[1,4,47],[1,5,31],[2,3,0],[2,4,57],[3,4,71],[3,5,97],[4,5,20]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (4,5)\",\"Add (1,5)\",\"Add (0,4)\"],\"Answer\":98}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[0,4,33],[0,5,60],[1,3,14],[1,4,47],[1,5,31],[2,3,0],[2,4,57],[3,4,71],[3,5,97],[4,5,20]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (1,3)=14, w=14\",\"Add (4,5)=20, w=34\",\"Add (1,5)=31, w=65\",\"Add (0,4)=33, w=98\"],\"Answer\":98}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[0,4,33],[0,5,60],[1,3,14],[1,4,47],[1,5,31],[2,3,0],[2,4,57],[3,4,71],[3,5,97],[4,5,20]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (1,3)=14 Succeeded, w=14\",\"Add (4,5)=20 Succeeded, w=34\",\"Add (1,5)=31 Succeeded, w=65\",\"Add (0,4)=33 Succeeded, w=98\",\"Add (1,4)=47 Failed, w=98\",\"Add (2,4)=57 Failed, w=98\",\"Add (0,5)=60 Failed, w=98\",\"Add (0,1)=66 Failed, w=98\",\"Add (3,4)=71 Failed, w=98\",\"Add (3,5)=97 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],\"edges\":[[0,1,66],[0,4,33],[0,5,60],[1,3,14],[1,4,47],[1,5,31],[2,3,0],[2,4,57],[3,4,71],[3,5,97],[4,5,20]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=0,(1,3)=14,(4,5)=20,(1,5)=31,(0,4)=33,(1,4)=47,(2,4)=57,(0,5)=60,(0,1)=66,(3,4)=71,(3,5)=97]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=2, Add (1,3)=14 Succeeded, w=14\",\"Find(4)=4, Find(5)=5, Add (4,5)=20 Succeeded, w=34\",\"Find(1)=2, Find(5)=4, Add (1,5)=31 Succeeded, w=65\",\"Find(0)=0, Find(4)=2, Add (0,4)=33 Succeeded, w=98\",\"Find(1)=2, Find(4)=2, Add (1,4)=47 Failed, w=98\",\"Find(2)=2, Find(4)=2, Add (2,4)=57 Failed, w=98\",\"Find(0)=2, Find(5)=2, Add (0,5)=60 Failed, w=98\",\"Find(0)=2, Find(1)=2, Add (0,1)=66 Failed, w=98\",\"Find(3)=2, Find(4)=2, Add (3,4)=71 Failed, w=98\",\"Find(3)=2, Find(5)=2, Add (3,5)=97 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],\"edges\":[[0,1,66],[0,4,33],[0,5,60],[1,3,14],[1,4,47],[1,5,31],[2,3,0],[2,4,57],[3,4,71],[3,5,97],[4,5,20]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=0,(1,3)=14,(4,5)=20,(1,5)=31,(0,4)=33,(1,4)=47,(2,4)=57,(0,5)=60,(0,1)=66,(3,4)=71,(3,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5}, Find(1)=1, Find(3)=2, Add (1,3)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=20 Succeeded, w=34\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4}, Find(1)=2, Find(5)=4, Add (1,5)=31 Succeeded, w=65\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4}, Find(0)=0, Find(4)=2, Add (0,4)=33 Succeeded, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4}, Find(1)=2, Find(4)=2, Add (1,4)=47 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4}, Find(2)=2, Find(4)=2, Add (2,4)=57 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=60 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=66 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=71 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=97 Failed, w=98\"],\"Answer\":98}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,29],[0,2,88],[0,3,11],[0,4,63],[0,5,76],[0,6,2],[0,7,44],[1,2,29],[1,3,62],[1,4,97],[1,5,93],[1,6,16],[2,4,14],[2,5,15],[2,6,45],[2,7,23],[3,4,51],[3,5,71],[3,7,83],[4,5,25],[4,6,34],[4,7,80],[5,6,70],[5,7,45],[6,7,51]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,29],[0,2,88],[0,3,11],[0,4,63],[0,5,76],[0,6,2],[0,7,44],[1,2,29],[1,3,62],[1,4,97],[1,5,93],[1,6,16],[2,4,14],[2,5,15],[2,6,45],[2,7,23],[3,4,51],[3,5,71],[3,7,83],[4,5,25],[4,6,34],[4,7,80],[5,6,70],[5,7,45],[6,7,51]]}", "role": "user" }, { "content": "{\"Answer\":110}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,29],[0,2,88],[0,3,11],[0,4,63],[0,5,76],[0,6,2],[0,7,44],[1,2,29],[1,3,62],[1,4,97],[1,5,93],[1,6,16],[2,4,14],[2,5,15],[2,6,45],[2,7,23],[3,4,51],[3,5,71],[3,7,83],[4,5,25],[4,6,34],[4,7,80],[5,6,70],[5,7,45],[6,7,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,6)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (2,5)\",\"Add (1,6)\",\"Add (2,7)\",\"Add (1,2)\"],\"Answer\":110}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,29],[0,2,88],[0,3,11],[0,4,63],[0,5,76],[0,6,2],[0,7,44],[1,2,29],[1,3,62],[1,4,97],[1,5,93],[1,6,16],[2,4,14],[2,5,15],[2,6,45],[2,7,23],[3,4,51],[3,5,71],[3,7,83],[4,5,25],[4,6,34],[4,7,80],[5,6,70],[5,7,45],[6,7,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,6)=2, w=2\",\"Add (0,3)=11, w=13\",\"Add (2,4)=14, w=27\",\"Add (2,5)=15, w=42\",\"Add (1,6)=16, w=58\",\"Add (2,7)=23, w=81\",\"Add (1,2)=29, w=110\"],\"Answer\":110}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,29],[0,2,88],[0,3,11],[0,4,63],[0,5,76],[0,6,2],[0,7,44],[1,2,29],[1,3,62],[1,4,97],[1,5,93],[1,6,16],[2,4,14],[2,5,15],[2,6,45],[2,7,23],[3,4,51],[3,5,71],[3,7,83],[4,5,25],[4,6,34],[4,7,80],[5,6,70],[5,7,45],[6,7,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,6)=2 Succeeded, w=2\",\"Add (0,3)=11 Succeeded, w=13\",\"Add (2,4)=14 Succeeded, w=27\",\"Add (2,5)=15 Succeeded, w=42\",\"Add (1,6)=16 Succeeded, w=58\",\"Add (2,7)=23 Succeeded, w=81\",\"Add (4,5)=25 Failed, w=81\",\"Add (0,1)=29 Failed, w=81\",\"Add (1,2)=29 Succeeded, w=110\",\"Add (4,6)=34 Failed, w=110\",\"Add (0,7)=44 Failed, w=110\",\"Add (2,6)=45 Failed, w=110\",\"Add (5,7)=45 Failed, w=110\",\"Add (3,4)=51 Failed, w=110\",\"Add (6,7)=51 Failed, w=110\",\"Add (1,3)=62 Failed, w=110\",\"Add (0,4)=63 Failed, w=110\",\"Add (5,6)=70 Failed, w=110\",\"Add (3,5)=71 Failed, w=110\",\"Add (0,5)=76 Failed, w=110\",\"Add (4,7)=80 Failed, w=110\",\"Add (3,7)=83 Failed, w=110\",\"Add (0,2)=88 Failed, w=110\",\"Add (1,5)=93 Failed, w=110\",\"Add (1,4)=97 Failed, w=110\"],\"Answer\":110}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,29],[0,2,88],[0,3,11],[0,4,63],[0,5,76],[0,6,2],[0,7,44],[1,2,29],[1,3,62],[1,4,97],[1,5,93],[1,6,16],[2,4,14],[2,5,15],[2,6,45],[2,7,23],[3,4,51],[3,5,71],[3,7,83],[4,5,25],[4,6,34],[4,7,80],[5,6,70],[5,7,45],[6,7,51]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,6)=2,(0,3)=11,(2,4)=14,(2,5)=15,(1,6)=16,(2,7)=23,(4,5)=25,(0,1)=29,(1,2)=29,(4,6)=34,(0,7)=44,(2,6)=45,(5,7)=45,(3,4)=51,(6,7)=51,(1,3)=62,(0,4)=63,(5,6)=70,(3,5)=71,(0,5)=76,(4,7)=80,(3,7)=83,(0,2)=88,(1,5)=93,(1,4)=97]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=13\",\"Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=27\",\"Find(2)=2, Find(5)=5, Add (2,5)=15 Succeeded, w=42\",\"Find(1)=1, Find(6)=0, Add (1,6)=16 Succeeded, w=58\",\"Find(2)=2, Find(7)=7, Add (2,7)=23 Succeeded, w=81\",\"Find(4)=2, Find(5)=2, Add (4,5)=25 Failed, w=81\",\"Find(0)=0, Find(1)=0, Add (0,1)=29 Failed, w=81\",\"Find(1)=0, Find(2)=2, Add (1,2)=29 Succeeded, w=110\",\"Find(4)=0, Find(6)=0, Add (4,6)=34 Failed, w=110\",\"Find(0)=0, Find(7)=0, Add (0,7)=44 Failed, w=110\",\"Find(2)=0, Find(6)=0, Add (2,6)=45 Failed, w=110\",\"Find(5)=0, Find(7)=0, Add (5,7)=45 Failed, w=110\",\"Find(3)=0, Find(4)=0, Add (3,4)=51 Failed, w=110\",\"Find(6)=0, Find(7)=0, Add (6,7)=51 Failed, w=110\",\"Find(1)=0, Find(3)=0, Add (1,3)=62 Failed, w=110\",\"Find(0)=0, Find(4)=0, Add (0,4)=63 Failed, w=110\",\"Find(5)=0, Find(6)=0, Add (5,6)=70 Failed, w=110\",\"Find(3)=0, Find(5)=0, Add (3,5)=71 Failed, w=110\",\"Find(0)=0, Find(5)=0, Add (0,5)=76 Failed, w=110\",\"Find(4)=0, Find(7)=0, Add (4,7)=80 Failed, w=110\",\"Find(3)=0, Find(7)=0, Add (3,7)=83 Failed, w=110\",\"Find(0)=0, Find(2)=0, Add (0,2)=88 Failed, w=110\",\"Find(1)=0, Find(5)=0, Add (1,5)=93 Failed, w=110\",\"Find(1)=0, Find(4)=0, Add (1,4)=97 Failed, w=110\"],\"Answer\":110}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,29],[0,2,88],[0,3,11],[0,4,63],[0,5,76],[0,6,2],[0,7,44],[1,2,29],[1,3,62],[1,4,97],[1,5,93],[1,6,16],[2,4,14],[2,5,15],[2,6,45],[2,7,23],[3,4,51],[3,5,71],[3,7,83],[4,5,25],[4,6,34],[4,7,80],[5,6,70],[5,7,45],[6,7,51]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,6)=2,(0,3)=11,(2,4)=14,(2,5)=15,(1,6)=16,(2,7)=23,(4,5)=25,(0,1)=29,(1,2)=29,(4,6)=34,(0,7)=44,(2,6)=45,(5,7)=45,(3,4)=51,(6,7)=51,(1,3)=62,(0,4)=63,(5,6)=70,(3,5)=71,(0,5)=76,(4,7)=80,(3,7)=83,(0,2)=88,(1,5)=93,(1,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 5, 6: 0, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 2, 6: 0, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=15 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 2, 6: 0, 7: 7}, Find(1)=1, Find(6)=0, Add (1,6)=16 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 2, 6: 0, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=23 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 2, 6: 0, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=25 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 2, 6: 0, 7: 2}, Find(0)=0, Find(1)=0, Add (0,1)=29 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 2, 6: 0, 7: 2}, Find(1)=0, Find(2)=2, Add (1,2)=29 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 2}, Find(4)=0, Find(6)=0, Add (4,6)=34 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=44 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=45 Failed, w=110\",\"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)=45 Failed, w=110\",\"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)=51 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=51 Failed, w=110\",\"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)=62 Failed, w=110\",\"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)=63 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=70 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=71 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=76 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=80 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=83 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=88 Failed, w=110\",\"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)=93 Failed, w=110\",\"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)=97 Failed, w=110\"],\"Answer\":110}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,28],[0,3,73],[1,2,67],[1,3,45]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,28],[0,3,73],[1,2,67],[1,3,45]]}", "role": "user" }, { "content": "{\"Answer\":140}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,28],[0,3,73],[1,2,67],[1,3,45]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":140}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,28],[0,3,73],[1,2,67],[1,3,45]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=28, w=28\",\"Add (1,3)=45, w=73\",\"Add (1,2)=67, w=140\"],\"Answer\":140}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,28],[0,3,73],[1,2,67],[1,3,45]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=28 Succeeded, w=28\",\"Add (1,3)=45 Succeeded, w=73\",\"Add (1,2)=67 Succeeded, w=140\",\"Add (0,3)=73 Failed, w=140\"],\"Answer\":140}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,28],[0,3,73],[1,2,67],[1,3,45]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=28,(1,3)=45,(1,2)=67,(0,3)=73]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=28\",\"Find(1)=1, Find(3)=3, Add (1,3)=45 Succeeded, w=73\",\"Find(1)=1, Find(2)=0, Add (1,2)=67 Succeeded, w=140\",\"Find(0)=1, Find(3)=1, Add (0,3)=73 Failed, w=140\"],\"Answer\":140}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,28],[0,3,73],[1,2,67],[1,3,45]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=28,(1,3)=45,(1,2)=67,(0,3)=73]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=45 Succeeded, w=73\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(2)=0, Add (1,2)=67 Succeeded, w=140\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=73 Failed, w=140\"],\"Answer\":140}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,11],[0,3,3],[1,2,70],[1,4,99],[1,5,16],[1,6,64],[2,4,87],[2,5,98],[3,5,64],[3,6,58],[4,7,95],[6,7,51]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,3,3],[1,2,70],[1,4,99],[1,5,16],[1,6,64],[2,4,87],[2,5,98],[3,5,64],[3,6,58],[4,7,95],[6,7,51]]}", "role": "user" }, { "content": "{\"Answer\":296}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,3,3],[1,2,70],[1,4,99],[1,5,16],[1,6,64],[2,4,87],[2,5,98],[3,5,64],[3,6,58],[4,7,95],[6,7,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (1,5)\",\"Add (6,7)\",\"Add (3,6)\",\"Add (1,2)\",\"Add (2,4)\"],\"Answer\":296}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,3,3],[1,2,70],[1,4,99],[1,5,16],[1,6,64],[2,4,87],[2,5,98],[3,5,64],[3,6,58],[4,7,95],[6,7,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=3, w=3\",\"Add (0,1)=11, w=14\",\"Add (1,5)=16, w=30\",\"Add (6,7)=51, w=81\",\"Add (3,6)=58, w=139\",\"Add (1,2)=70, w=209\",\"Add (2,4)=87, w=296\"],\"Answer\":296}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,3,3],[1,2,70],[1,4,99],[1,5,16],[1,6,64],[2,4,87],[2,5,98],[3,5,64],[3,6,58],[4,7,95],[6,7,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=3 Succeeded, w=3\",\"Add (0,1)=11 Succeeded, w=14\",\"Add (1,5)=16 Succeeded, w=30\",\"Add (6,7)=51 Succeeded, w=81\",\"Add (3,6)=58 Succeeded, w=139\",\"Add (1,6)=64 Failed, w=139\",\"Add (3,5)=64 Failed, w=139\",\"Add (1,2)=70 Succeeded, w=209\",\"Add (2,4)=87 Succeeded, w=296\",\"Add (4,7)=95 Failed, w=296\",\"Add (2,5)=98 Failed, w=296\",\"Add (1,4)=99 Failed, w=296\"],\"Answer\":296}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,3,3],[1,2,70],[1,4,99],[1,5,16],[1,6,64],[2,4,87],[2,5,98],[3,5,64],[3,6,58],[4,7,95],[6,7,51]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=3,(0,1)=11,(1,5)=16,(6,7)=51,(3,6)=58,(1,6)=64,(3,5)=64,(1,2)=70,(2,4)=87,(4,7)=95,(2,5)=98,(1,4)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=14\",\"Find(1)=0, Find(5)=5, Add (1,5)=16 Succeeded, w=30\",\"Find(6)=6, Find(7)=7, Add (6,7)=51 Succeeded, w=81\",\"Find(3)=0, Find(6)=6, Add (3,6)=58 Succeeded, w=139\",\"Find(1)=0, Find(6)=0, Add (1,6)=64 Failed, w=139\",\"Find(3)=0, Find(5)=0, Add (3,5)=64 Failed, w=139\",\"Find(1)=0, Find(2)=2, Add (1,2)=70 Succeeded, w=209\",\"Find(2)=0, Find(4)=4, Add (2,4)=87 Succeeded, w=296\",\"Find(4)=0, Find(7)=0, Add (4,7)=95 Failed, w=296\",\"Find(2)=0, Find(5)=0, Add (2,5)=98 Failed, w=296\",\"Find(1)=0, Find(4)=0, Add (1,4)=99 Failed, w=296\"],\"Answer\":296}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,3,3],[1,2,70],[1,4,99],[1,5,16],[1,6,64],[2,4,87],[2,5,98],[3,5,64],[3,6,58],[4,7,95],[6,7,51]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=3,(0,1)=11,(1,5)=16,(6,7)=51,(3,6)=58,(1,6)=64,(3,5)=64,(1,2)=70,(2,4)=87,(4,7)=95,(2,5)=98,(1,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6, 7: 7}, Find(1)=0, Find(5)=5, Add (1,5)=16 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=51 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 0, 7: 6}, Find(3)=0, Find(6)=6, Add (3,6)=58 Succeeded, w=139\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 0, 7: 6}, Find(1)=0, Find(6)=0, Add (1,6)=64 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 0, 7: 6}, Find(3)=0, Find(5)=0, Add (3,5)=64 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 6}, Find(1)=0, Find(2)=2, Add (1,2)=70 Succeeded, w=209\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(2)=0, Find(4)=4, Add (2,4)=87 Succeeded, w=296\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=95 Failed, w=296\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=98 Failed, w=296\",\"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)=99 Failed, w=296\"],\"Answer\":296}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,5,72],[1,2,23],[1,3,72],[1,6,55],[2,3,98],[2,4,58],[2,5,34],[2,6,25],[2,7,59],[3,4,15],[3,5,54],[3,6,27],[3,7,63],[4,5,99],[4,6,79],[4,7,44],[5,7,16],[6,7,7]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,72],[1,2,23],[1,3,72],[1,6,55],[2,3,98],[2,4,58],[2,5,34],[2,6,25],[2,7,59],[3,4,15],[3,5,54],[3,6,27],[3,7,63],[4,5,99],[4,6,79],[4,7,44],[5,7,16],[6,7,7]]}", "role": "user" }, { "content": "{\"Answer\":185}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,72],[1,2,23],[1,3,72],[1,6,55],[2,3,98],[2,4,58],[2,5,34],[2,6,25],[2,7,59],[3,4,15],[3,5,54],[3,6,27],[3,7,63],[4,5,99],[4,6,79],[4,7,44],[5,7,16],[6,7,7]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (6,7)\",\"Add (3,4)\",\"Add (5,7)\",\"Add (1,2)\",\"Add (2,6)\",\"Add (3,6)\",\"Add (0,5)\"],\"Answer\":185}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,72],[1,2,23],[1,3,72],[1,6,55],[2,3,98],[2,4,58],[2,5,34],[2,6,25],[2,7,59],[3,4,15],[3,5,54],[3,6,27],[3,7,63],[4,5,99],[4,6,79],[4,7,44],[5,7,16],[6,7,7]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (6,7)=7, w=7\",\"Add (3,4)=15, w=22\",\"Add (5,7)=16, w=38\",\"Add (1,2)=23, w=61\",\"Add (2,6)=25, w=86\",\"Add (3,6)=27, w=113\",\"Add (0,5)=72, w=185\"],\"Answer\":185}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,72],[1,2,23],[1,3,72],[1,6,55],[2,3,98],[2,4,58],[2,5,34],[2,6,25],[2,7,59],[3,4,15],[3,5,54],[3,6,27],[3,7,63],[4,5,99],[4,6,79],[4,7,44],[5,7,16],[6,7,7]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (6,7)=7 Succeeded, w=7\",\"Add (3,4)=15 Succeeded, w=22\",\"Add (5,7)=16 Succeeded, w=38\",\"Add (1,2)=23 Succeeded, w=61\",\"Add (2,6)=25 Succeeded, w=86\",\"Add (3,6)=27 Succeeded, w=113\",\"Add (2,5)=34 Failed, w=113\",\"Add (4,7)=44 Failed, w=113\",\"Add (3,5)=54 Failed, w=113\",\"Add (1,6)=55 Failed, w=113\",\"Add (2,4)=58 Failed, w=113\",\"Add (2,7)=59 Failed, w=113\",\"Add (3,7)=63 Failed, w=113\",\"Add (0,5)=72 Succeeded, w=185\",\"Add (1,3)=72 Failed, w=185\",\"Add (4,6)=79 Failed, w=185\",\"Add (2,3)=98 Failed, w=185\",\"Add (4,5)=99 Failed, w=185\"],\"Answer\":185}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,72],[1,2,23],[1,3,72],[1,6,55],[2,3,98],[2,4,58],[2,5,34],[2,6,25],[2,7,59],[3,4,15],[3,5,54],[3,6,27],[3,7,63],[4,5,99],[4,6,79],[4,7,44],[5,7,16],[6,7,7]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(6,7)=7,(3,4)=15,(5,7)=16,(1,2)=23,(2,6)=25,(3,6)=27,(2,5)=34,(4,7)=44,(3,5)=54,(1,6)=55,(2,4)=58,(2,7)=59,(3,7)=63,(0,5)=72,(1,3)=72,(4,6)=79,(2,3)=98,(4,5)=99]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=7 Succeeded, w=7\",\"Find(3)=3, Find(4)=4, Add (3,4)=15 Succeeded, w=22\",\"Find(5)=5, Find(7)=6, Add (5,7)=16 Succeeded, w=38\",\"Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=61\",\"Find(2)=1, Find(6)=6, Add (2,6)=25 Succeeded, w=86\",\"Find(3)=3, Find(6)=1, Add (3,6)=27 Succeeded, w=113\",\"Find(2)=1, Find(5)=1, Add (2,5)=34 Failed, w=113\",\"Find(4)=1, Find(7)=1, Add (4,7)=44 Failed, w=113\",\"Find(3)=1, Find(5)=1, Add (3,5)=54 Failed, w=113\",\"Find(1)=1, Find(6)=1, Add (1,6)=55 Failed, w=113\",\"Find(2)=1, Find(4)=1, Add (2,4)=58 Failed, w=113\",\"Find(2)=1, Find(7)=1, Add (2,7)=59 Failed, w=113\",\"Find(3)=1, Find(7)=1, Add (3,7)=63 Failed, w=113\",\"Find(0)=0, Find(5)=1, Add (0,5)=72 Succeeded, w=185\",\"Find(1)=1, Find(3)=1, Add (1,3)=72 Failed, w=185\",\"Find(4)=1, Find(6)=1, Add (4,6)=79 Failed, w=185\",\"Find(2)=1, Find(3)=1, Add (2,3)=98 Failed, w=185\",\"Find(4)=1, Find(5)=1, Add (4,5)=99 Failed, w=185\"],\"Answer\":185}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,72],[1,2,23],[1,3,72],[1,6,55],[2,3,98],[2,4,58],[2,5,34],[2,6,25],[2,7,59],[3,4,15],[3,5,54],[3,6,27],[3,7,63],[4,5,99],[4,6,79],[4,7,44],[5,7,16],[6,7,7]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(6,7)=7,(3,4)=15,(5,7)=16,(1,2)=23,(2,6)=25,(3,6)=27,(2,5)=34,(4,7)=44,(3,5)=54,(1,6)=55,(2,4)=58,(2,7)=59,(3,7)=63,(0,5)=72,(1,3)=72,(4,6)=79,(2,3)=98,(4,5)=99]\",\"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)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 6}, Find(3)=3, Find(4)=4, Add (3,4)=15 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 6, 6: 6, 7: 6}, Find(5)=5, Find(7)=6, Add (5,7)=16 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 6, 6: 6, 7: 6}, Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=61\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 6, 6: 1, 7: 6}, Find(2)=1, Find(6)=6, Add (2,6)=25 Succeeded, w=86\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3, 5: 6, 6: 1, 7: 6}, Find(3)=3, Find(6)=1, Add (3,6)=27 Succeeded, w=113\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 1, 7: 6}, Find(2)=1, Find(5)=1, Add (2,5)=34 Failed, w=113\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=44 Failed, w=113\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=54 Failed, w=113\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=55 Failed, w=113\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=58 Failed, w=113\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=59 Failed, w=113\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=63 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=0, Find(5)=1, Add (0,5)=72 Succeeded, w=185\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(3)=1, Add (1,3)=72 Failed, w=185\",\"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)=79 Failed, w=185\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=98 Failed, w=185\",\"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)=99 Failed, w=185\"],\"Answer\":185}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,33],[0,4,43],[0,6,77],[1,2,47],[1,3,13],[1,4,44],[1,6,65],[2,3,5],[3,4,29],[3,5,70],[3,6,55],[5,6,70],[5,7,36]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,33],[0,4,43],[0,6,77],[1,2,47],[1,3,13],[1,4,44],[1,6,65],[2,3,5],[3,4,29],[3,5,70],[3,6,55],[5,6,70],[5,7,36]]}", "role": "user" }, { "content": "{\"Answer\":241}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,33],[0,4,43],[0,6,77],[1,2,47],[1,3,13],[1,4,44],[1,6,65],[2,3,5],[3,4,29],[3,5,70],[3,6,55],[5,6,70],[5,7,36]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (5,7)\",\"Add (3,6)\",\"Add (3,5)\"],\"Answer\":241}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,33],[0,4,43],[0,6,77],[1,2,47],[1,3,13],[1,4,44],[1,6,65],[2,3,5],[3,4,29],[3,5,70],[3,6,55],[5,6,70],[5,7,36]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=5, w=5\",\"Add (1,3)=13, w=18\",\"Add (3,4)=29, w=47\",\"Add (0,2)=33, w=80\",\"Add (5,7)=36, w=116\",\"Add (3,6)=55, w=171\",\"Add (3,5)=70, w=241\"],\"Answer\":241}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,33],[0,4,43],[0,6,77],[1,2,47],[1,3,13],[1,4,44],[1,6,65],[2,3,5],[3,4,29],[3,5,70],[3,6,55],[5,6,70],[5,7,36]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=5 Succeeded, w=5\",\"Add (1,3)=13 Succeeded, w=18\",\"Add (3,4)=29 Succeeded, w=47\",\"Add (0,2)=33 Succeeded, w=80\",\"Add (5,7)=36 Succeeded, w=116\",\"Add (0,4)=43 Failed, w=116\",\"Add (1,4)=44 Failed, w=116\",\"Add (1,2)=47 Failed, w=116\",\"Add (3,6)=55 Succeeded, w=171\",\"Add (1,6)=65 Failed, w=171\",\"Add (3,5)=70 Succeeded, w=241\",\"Add (5,6)=70 Failed, w=241\",\"Add (0,6)=77 Failed, w=241\"],\"Answer\":241}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,33],[0,4,43],[0,6,77],[1,2,47],[1,3,13],[1,4,44],[1,6,65],[2,3,5],[3,4,29],[3,5,70],[3,6,55],[5,6,70],[5,7,36]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=5,(1,3)=13,(3,4)=29,(0,2)=33,(5,7)=36,(0,4)=43,(1,4)=44,(1,2)=47,(3,6)=55,(1,6)=65,(3,5)=70,(5,6)=70,(0,6)=77]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Find(1)=1, Find(3)=2, Add (1,3)=13 Succeeded, w=18\",\"Find(3)=2, Find(4)=4, Add (3,4)=29 Succeeded, w=47\",\"Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=80\",\"Find(5)=5, Find(7)=7, Add (5,7)=36 Succeeded, w=116\",\"Find(0)=2, Find(4)=2, Add (0,4)=43 Failed, w=116\",\"Find(1)=2, Find(4)=2, Add (1,4)=44 Failed, w=116\",\"Find(1)=2, Find(2)=2, Add (1,2)=47 Failed, w=116\",\"Find(3)=2, Find(6)=6, Add (3,6)=55 Succeeded, w=171\",\"Find(1)=2, Find(6)=2, Add (1,6)=65 Failed, w=171\",\"Find(3)=2, Find(5)=5, Add (3,5)=70 Succeeded, w=241\",\"Find(5)=2, Find(6)=2, Add (5,6)=70 Failed, w=241\",\"Find(0)=2, Find(6)=2, Add (0,6)=77 Failed, w=241\"],\"Answer\":241}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,33],[0,4,43],[0,6,77],[1,2,47],[1,3,13],[1,4,44],[1,6,65],[2,3,5],[3,4,29],[3,5,70],[3,6,55],[5,6,70],[5,7,36]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=5,(1,3)=13,(3,4)=29,(0,2)=33,(5,7)=36,(0,4)=43,(1,4)=44,(1,2)=47,(3,6)=55,(1,6)=65,(3,5)=70,(5,6)=70,(0,6)=77]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=2, Add (1,3)=13 Succeeded, w=18\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6, 7: 7}, Find(3)=2, Find(4)=4, Add (3,4)=29 Succeeded, w=47\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=36 Succeeded, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6, 7: 5}, Find(0)=2, Find(4)=2, Add (0,4)=43 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6, 7: 5}, Find(1)=2, Find(4)=2, Add (1,4)=44 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6, 7: 5}, Find(1)=2, Find(2)=2, Add (1,2)=47 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2, 7: 5}, Find(3)=2, Find(6)=6, Add (3,6)=55 Succeeded, w=171\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2, 7: 5}, Find(1)=2, Find(6)=2, Add (1,6)=65 Failed, w=171\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 5}, Find(3)=2, Find(5)=5, Add (3,5)=70 Succeeded, w=241\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 5}, Find(5)=2, Find(6)=2, Add (5,6)=70 Failed, w=241\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 5}, Find(0)=2, Find(6)=2, Add (0,6)=77 Failed, w=241\"],\"Answer\":241}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,7],[0,2,70],[0,3,66],[0,4,99],[0,5,51],[0,6,85],[0,7,92],[1,2,7],[1,3,50],[1,4,18],[1,5,28],[1,6,80],[2,3,25],[2,5,55],[2,6,79],[3,4,51],[3,5,37],[3,7,14],[4,6,89],[5,6,82],[6,7,70]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,70],[0,3,66],[0,4,99],[0,5,51],[0,6,85],[0,7,92],[1,2,7],[1,3,50],[1,4,18],[1,5,28],[1,6,80],[2,3,25],[2,5,55],[2,6,79],[3,4,51],[3,5,37],[3,7,14],[4,6,89],[5,6,82],[6,7,70]]}", "role": "user" }, { "content": "{\"Answer\":169}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,70],[0,3,66],[0,4,99],[0,5,51],[0,6,85],[0,7,92],[1,2,7],[1,3,50],[1,4,18],[1,5,28],[1,6,80],[2,3,25],[2,5,55],[2,6,79],[3,4,51],[3,5,37],[3,7,14],[4,6,89],[5,6,82],[6,7,70]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (3,7)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (1,5)\",\"Add (6,7)\"],\"Answer\":169}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,70],[0,3,66],[0,4,99],[0,5,51],[0,6,85],[0,7,92],[1,2,7],[1,3,50],[1,4,18],[1,5,28],[1,6,80],[2,3,25],[2,5,55],[2,6,79],[3,4,51],[3,5,37],[3,7,14],[4,6,89],[5,6,82],[6,7,70]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=7, w=7\",\"Add (1,2)=7, w=14\",\"Add (3,7)=14, w=28\",\"Add (1,4)=18, w=46\",\"Add (2,3)=25, w=71\",\"Add (1,5)=28, w=99\",\"Add (6,7)=70, w=169\"],\"Answer\":169}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,70],[0,3,66],[0,4,99],[0,5,51],[0,6,85],[0,7,92],[1,2,7],[1,3,50],[1,4,18],[1,5,28],[1,6,80],[2,3,25],[2,5,55],[2,6,79],[3,4,51],[3,5,37],[3,7,14],[4,6,89],[5,6,82],[6,7,70]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=7 Succeeded, w=7\",\"Add (1,2)=7 Succeeded, w=14\",\"Add (3,7)=14 Succeeded, w=28\",\"Add (1,4)=18 Succeeded, w=46\",\"Add (2,3)=25 Succeeded, w=71\",\"Add (1,5)=28 Succeeded, w=99\",\"Add (3,5)=37 Failed, w=99\",\"Add (1,3)=50 Failed, w=99\",\"Add (0,5)=51 Failed, w=99\",\"Add (3,4)=51 Failed, w=99\",\"Add (2,5)=55 Failed, w=99\",\"Add (0,3)=66 Failed, w=99\",\"Add (0,2)=70 Failed, w=99\",\"Add (6,7)=70 Succeeded, w=169\",\"Add (2,6)=79 Failed, w=169\",\"Add (1,6)=80 Failed, w=169\",\"Add (5,6)=82 Failed, w=169\",\"Add (0,6)=85 Failed, w=169\",\"Add (4,6)=89 Failed, w=169\",\"Add (0,7)=92 Failed, w=169\",\"Add (0,4)=99 Failed, w=169\"],\"Answer\":169}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,70],[0,3,66],[0,4,99],[0,5,51],[0,6,85],[0,7,92],[1,2,7],[1,3,50],[1,4,18],[1,5,28],[1,6,80],[2,3,25],[2,5,55],[2,6,79],[3,4,51],[3,5,37],[3,7,14],[4,6,89],[5,6,82],[6,7,70]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=7,(1,2)=7,(3,7)=14,(1,4)=18,(2,3)=25,(1,5)=28,(3,5)=37,(1,3)=50,(0,5)=51,(3,4)=51,(2,5)=55,(0,3)=66,(0,2)=70,(6,7)=70,(2,6)=79,(1,6)=80,(5,6)=82,(0,6)=85,(4,6)=89,(0,7)=92,(0,4)=99]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Find(1)=0, Find(2)=2, Add (1,2)=7 Succeeded, w=14\",\"Find(3)=3, Find(7)=7, Add (3,7)=14 Succeeded, w=28\",\"Find(1)=0, Find(4)=4, Add (1,4)=18 Succeeded, w=46\",\"Find(2)=0, Find(3)=3, Add (2,3)=25 Succeeded, w=71\",\"Find(1)=0, Find(5)=5, Add (1,5)=28 Succeeded, w=99\",\"Find(3)=0, Find(5)=0, Add (3,5)=37 Failed, w=99\",\"Find(1)=0, Find(3)=0, Add (1,3)=50 Failed, w=99\",\"Find(0)=0, Find(5)=0, Add (0,5)=51 Failed, w=99\",\"Find(3)=0, Find(4)=0, Add (3,4)=51 Failed, w=99\",\"Find(2)=0, Find(5)=0, Add (2,5)=55 Failed, w=99\",\"Find(0)=0, Find(3)=0, Add (0,3)=66 Failed, w=99\",\"Find(0)=0, Find(2)=0, Add (0,2)=70 Failed, w=99\",\"Find(6)=6, Find(7)=0, Add (6,7)=70 Succeeded, w=169\",\"Find(2)=0, Find(6)=0, Add (2,6)=79 Failed, w=169\",\"Find(1)=0, Find(6)=0, Add (1,6)=80 Failed, w=169\",\"Find(5)=0, Find(6)=0, Add (5,6)=82 Failed, w=169\",\"Find(0)=0, Find(6)=0, Add (0,6)=85 Failed, w=169\",\"Find(4)=0, Find(6)=0, Add (4,6)=89 Failed, w=169\",\"Find(0)=0, Find(7)=0, Add (0,7)=92 Failed, w=169\",\"Find(0)=0, Find(4)=0, Add (0,4)=99 Failed, w=169\"],\"Answer\":169}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,70],[0,3,66],[0,4,99],[0,5,51],[0,6,85],[0,7,92],[1,2,7],[1,3,50],[1,4,18],[1,5,28],[1,6,80],[2,3,25],[2,5,55],[2,6,79],[3,4,51],[3,5,37],[3,7,14],[4,6,89],[5,6,82],[6,7,70]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=7,(1,2)=7,(3,7)=14,(1,4)=18,(2,3)=25,(1,5)=28,(3,5)=37,(1,3)=50,(0,5)=51,(3,4)=51,(2,5)=55,(0,3)=66,(0,2)=70,(6,7)=70,(2,6)=79,(1,6)=80,(5,6)=82,(0,6)=85,(4,6)=89,(0,7)=92,(0,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=0, Find(2)=2, Add (1,2)=7 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=14 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6, 7: 3}, Find(1)=0, Find(4)=4, Add (1,4)=18 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6, 7: 3}, Find(2)=0, Find(3)=3, Add (2,3)=25 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 3}, Find(1)=0, Find(5)=5, Add (1,5)=28 Succeeded, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 3}, Find(3)=0, Find(5)=0, Add (3,5)=37 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 3}, Find(1)=0, Find(3)=0, Add (1,3)=50 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 3}, Find(0)=0, Find(5)=0, Add (0,5)=51 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 3}, Find(3)=0, Find(4)=0, Add (3,4)=51 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 3}, Find(2)=0, Find(5)=0, Add (2,5)=55 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 3}, Find(0)=0, Find(3)=0, Add (0,3)=66 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 3}, Find(0)=0, Find(2)=0, Add (0,2)=70 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=6, Find(7)=0, Add (6,7)=70 Succeeded, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=79 Failed, w=169\",\"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)=80 Failed, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=82 Failed, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=85 Failed, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=89 Failed, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=92 Failed, w=169\",\"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)=99 Failed, w=169\"],\"Answer\":169}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,69],[0,4,70],[1,2,97],[1,3,48],[1,4,61],[2,3,16]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,4,70],[1,2,97],[1,3,48],[1,4,61],[2,3,16]]}", "role": "user" }, { "content": "{\"Answer\":194}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,4,70],[1,2,97],[1,3,48],[1,4,61],[2,3,16]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (1,4)\",\"Add (0,1)\"],\"Answer\":194}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,4,70],[1,2,97],[1,3,48],[1,4,61],[2,3,16]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=16, w=16\",\"Add (1,3)=48, w=64\",\"Add (1,4)=61, w=125\",\"Add (0,1)=69, w=194\"],\"Answer\":194}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,4,70],[1,2,97],[1,3,48],[1,4,61],[2,3,16]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=16 Succeeded, w=16\",\"Add (1,3)=48 Succeeded, w=64\",\"Add (1,4)=61 Succeeded, w=125\",\"Add (0,1)=69 Succeeded, w=194\",\"Add (0,4)=70 Failed, w=194\",\"Add (1,2)=97 Failed, w=194\"],\"Answer\":194}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,4,70],[1,2,97],[1,3,48],[1,4,61],[2,3,16]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=16,(1,3)=48,(1,4)=61,(0,1)=69,(0,4)=70,(1,2)=97]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=16\",\"Find(1)=1, Find(3)=2, Add (1,3)=48 Succeeded, w=64\",\"Find(1)=2, Find(4)=4, Add (1,4)=61 Succeeded, w=125\",\"Find(0)=0, Find(1)=2, Add (0,1)=69 Succeeded, w=194\",\"Find(0)=2, Find(4)=2, Add (0,4)=70 Failed, w=194\",\"Find(1)=2, Find(2)=2, Add (1,2)=97 Failed, w=194\"],\"Answer\":194}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,4,70],[1,2,97],[1,3,48],[1,4,61],[2,3,16]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=16,(1,3)=48,(1,4)=61,(0,1)=69,(0,4)=70,(1,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4}, Find(1)=1, Find(3)=2, Add (1,3)=48 Succeeded, w=64\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=4, Add (1,4)=61 Succeeded, w=125\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(1)=2, Add (0,1)=69 Succeeded, w=194\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=70 Failed, w=194\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=97 Failed, w=194\"],\"Answer\":194}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,93],[0,2,30],[0,3,52],[1,2,63],[1,3,69],[2,3,81]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,30],[0,3,52],[1,2,63],[1,3,69],[2,3,81]]}", "role": "user" }, { "content": "{\"Answer\":145}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,30],[0,3,52],[1,2,63],[1,3,69],[2,3,81]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":145}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,30],[0,3,52],[1,2,63],[1,3,69],[2,3,81]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=30, w=30\",\"Add (0,3)=52, w=82\",\"Add (1,2)=63, w=145\"],\"Answer\":145}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,30],[0,3,52],[1,2,63],[1,3,69],[2,3,81]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=30 Succeeded, w=30\",\"Add (0,3)=52 Succeeded, w=82\",\"Add (1,2)=63 Succeeded, w=145\",\"Add (1,3)=69 Failed, w=145\",\"Add (2,3)=81 Failed, w=145\",\"Add (0,1)=93 Failed, w=145\"],\"Answer\":145}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,30],[0,3,52],[1,2,63],[1,3,69],[2,3,81]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=30,(0,3)=52,(1,2)=63,(1,3)=69,(2,3)=81,(0,1)=93]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=30 Succeeded, w=30\",\"Find(0)=0, Find(3)=3, Add (0,3)=52 Succeeded, w=82\",\"Find(1)=1, Find(2)=0, Add (1,2)=63 Succeeded, w=145\",\"Find(1)=0, Find(3)=0, Add (1,3)=69 Failed, w=145\",\"Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=145\",\"Find(0)=0, Find(1)=0, Add (0,1)=93 Failed, w=145\"],\"Answer\":145}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,30],[0,3,52],[1,2,63],[1,3,69],[2,3,81]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=30,(0,3)=52,(1,2)=63,(1,3)=69,(2,3)=81,(0,1)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=30 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=52 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=63 Succeeded, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=69 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=93 Failed, w=145\"],\"Answer\":145}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,96],[0,2,98],[1,2,7],[1,3,80]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,98],[1,2,7],[1,3,80]]}", "role": "user" }, { "content": "{\"Answer\":183}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,98],[1,2,7],[1,3,80]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":183}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,98],[1,2,7],[1,3,80]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=7, w=7\",\"Add (1,3)=80, w=87\",\"Add (0,1)=96, w=183\"],\"Answer\":183}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,98],[1,2,7],[1,3,80]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=7 Succeeded, w=7\",\"Add (1,3)=80 Succeeded, w=87\",\"Add (0,1)=96 Succeeded, w=183\",\"Add (0,2)=98 Failed, w=183\"],\"Answer\":183}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,98],[1,2,7],[1,3,80]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=7,(1,3)=80,(0,1)=96,(0,2)=98]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=7 Succeeded, w=7\",\"Find(1)=1, Find(3)=3, Add (1,3)=80 Succeeded, w=87\",\"Find(0)=0, Find(1)=1, Add (0,1)=96 Succeeded, w=183\",\"Find(0)=1, Find(2)=1, Add (0,2)=98 Failed, w=183\"],\"Answer\":183}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,98],[1,2,7],[1,3,80]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=7,(1,3)=80,(0,1)=96,(0,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=80 Succeeded, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=96 Succeeded, w=183\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=98 Failed, w=183\"],\"Answer\":183}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,45],[0,2,95],[0,3,54],[1,2,2],[1,3,41]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,95],[0,3,54],[1,2,2],[1,3,41]]}", "role": "user" }, { "content": "{\"Answer\":88}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,95],[0,3,54],[1,2,2],[1,3,41]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":88}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,95],[0,3,54],[1,2,2],[1,3,41]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=2, w=2\",\"Add (1,3)=41, w=43\",\"Add (0,1)=45, w=88\"],\"Answer\":88}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,95],[0,3,54],[1,2,2],[1,3,41]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=2 Succeeded, w=2\",\"Add (1,3)=41 Succeeded, w=43\",\"Add (0,1)=45 Succeeded, w=88\",\"Add (0,3)=54 Failed, w=88\",\"Add (0,2)=95 Failed, w=88\"],\"Answer\":88}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,95],[0,3,54],[1,2,2],[1,3,41]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=2,(1,3)=41,(0,1)=45,(0,3)=54,(0,2)=95]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=3, Add (1,3)=41 Succeeded, w=43\",\"Find(0)=0, Find(1)=1, Add (0,1)=45 Succeeded, w=88\",\"Find(0)=1, Find(3)=1, Add (0,3)=54 Failed, w=88\",\"Find(0)=1, Find(2)=1, Add (0,2)=95 Failed, w=88\"],\"Answer\":88}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,95],[0,3,54],[1,2,2],[1,3,41]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=2,(1,3)=41,(0,1)=45,(0,3)=54,(0,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=41 Succeeded, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=45 Succeeded, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=54 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=95 Failed, w=88\"],\"Answer\":88}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,0],[0,4,97],[0,6,53],[1,2,76],[1,5,24],[1,6,87],[2,5,41],[3,4,20],[4,6,91]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,0],[0,4,97],[0,6,53],[1,2,76],[1,5,24],[1,6,87],[2,5,41],[3,4,20],[4,6,91]]}", "role": "user" }, { "content": "{\"Answer\":225}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,0],[0,4,97],[0,6,53],[1,2,76],[1,5,24],[1,6,87],[2,5,41],[3,4,20],[4,6,91]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (3,4)\",\"Add (1,5)\",\"Add (2,5)\",\"Add (0,6)\",\"Add (1,6)\"],\"Answer\":225}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,0],[0,4,97],[0,6,53],[1,2,76],[1,5,24],[1,6,87],[2,5,41],[3,4,20],[4,6,91]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (3,4)=20, w=20\",\"Add (1,5)=24, w=44\",\"Add (2,5)=41, w=85\",\"Add (0,6)=53, w=138\",\"Add (1,6)=87, w=225\"],\"Answer\":225}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,0],[0,4,97],[0,6,53],[1,2,76],[1,5,24],[1,6,87],[2,5,41],[3,4,20],[4,6,91]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (3,4)=20 Succeeded, w=20\",\"Add (1,5)=24 Succeeded, w=44\",\"Add (2,5)=41 Succeeded, w=85\",\"Add (0,6)=53 Succeeded, w=138\",\"Add (1,2)=76 Failed, w=138\",\"Add (1,6)=87 Succeeded, w=225\",\"Add (4,6)=91 Failed, w=225\",\"Add (0,4)=97 Failed, w=225\"],\"Answer\":225}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,0],[0,4,97],[0,6,53],[1,2,76],[1,5,24],[1,6,87],[2,5,41],[3,4,20],[4,6,91]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=0,(3,4)=20,(1,5)=24,(2,5)=41,(0,6)=53,(1,2)=76,(1,6)=87,(4,6)=91,(0,4)=97]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(3)=0, Find(4)=4, Add (3,4)=20 Succeeded, w=20\",\"Find(1)=1, Find(5)=5, Add (1,5)=24 Succeeded, w=44\",\"Find(2)=2, Find(5)=1, Add (2,5)=41 Succeeded, w=85\",\"Find(0)=0, Find(6)=6, Add (0,6)=53 Succeeded, w=138\",\"Find(1)=1, Find(2)=1, Add (1,2)=76 Failed, w=138\",\"Find(1)=1, Find(6)=0, Add (1,6)=87 Succeeded, w=225\",\"Find(4)=1, Find(6)=1, Add (4,6)=91 Failed, w=225\",\"Find(0)=1, Find(4)=1, Add (0,4)=97 Failed, w=225\"],\"Answer\":225}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,0],[0,4,97],[0,6,53],[1,2,76],[1,5,24],[1,6,87],[2,5,41],[3,4,20],[4,6,91]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=0,(3,4)=20,(1,5)=24,(2,5)=41,(0,6)=53,(1,2)=76,(1,6)=87,(4,6)=91,(0,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 6}, Find(3)=0, Find(4)=4, Add (3,4)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=24 Succeeded, w=44\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 1, 6: 6}, Find(2)=2, Find(5)=1, Add (2,5)=41 Succeeded, w=85\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 1, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=53 Succeeded, w=138\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 1, 6: 0}, Find(1)=1, Find(2)=1, Add (1,2)=76 Failed, w=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0, 5: 1, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=87 Succeeded, w=225\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=91 Failed, w=225\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=97 Failed, w=225\"],\"Answer\":225}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,12],[0,2,56],[0,3,85],[1,3,0],[1,4,37],[2,3,95],[2,5,40],[2,6,54],[3,4,5],[3,6,59],[4,5,56]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,56],[0,3,85],[1,3,0],[1,4,37],[2,3,95],[2,5,40],[2,6,54],[3,4,5],[3,6,59],[4,5,56]]}", "role": "user" }, { "content": "{\"Answer\":167}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,56],[0,3,85],[1,3,0],[1,4,37],[2,3,95],[2,5,40],[2,6,54],[3,4,5],[3,6,59],[4,5,56]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (2,5)\",\"Add (2,6)\",\"Add (0,2)\"],\"Answer\":167}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,56],[0,3,85],[1,3,0],[1,4,37],[2,3,95],[2,5,40],[2,6,54],[3,4,5],[3,6,59],[4,5,56]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (3,4)=5, w=5\",\"Add (0,1)=12, w=17\",\"Add (2,5)=40, w=57\",\"Add (2,6)=54, w=111\",\"Add (0,2)=56, w=167\"],\"Answer\":167}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,56],[0,3,85],[1,3,0],[1,4,37],[2,3,95],[2,5,40],[2,6,54],[3,4,5],[3,6,59],[4,5,56]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (3,4)=5 Succeeded, w=5\",\"Add (0,1)=12 Succeeded, w=17\",\"Add (1,4)=37 Failed, w=17\",\"Add (2,5)=40 Succeeded, w=57\",\"Add (2,6)=54 Succeeded, w=111\",\"Add (0,2)=56 Succeeded, w=167\",\"Add (4,5)=56 Failed, w=167\",\"Add (3,6)=59 Failed, w=167\",\"Add (0,3)=85 Failed, w=167\",\"Add (2,3)=95 Failed, w=167\"],\"Answer\":167}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,56],[0,3,85],[1,3,0],[1,4,37],[2,3,95],[2,5,40],[2,6,54],[3,4,5],[3,6,59],[4,5,56]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=0,(3,4)=5,(0,1)=12,(1,4)=37,(2,5)=40,(2,6)=54,(0,2)=56,(4,5)=56,(3,6)=59,(0,3)=85,(2,3)=95]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(3)=1, Find(4)=4, Add (3,4)=5 Succeeded, w=5\",\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=17\",\"Find(1)=1, Find(4)=1, Add (1,4)=37 Failed, w=17\",\"Find(2)=2, Find(5)=5, Add (2,5)=40 Succeeded, w=57\",\"Find(2)=2, Find(6)=6, Add (2,6)=54 Succeeded, w=111\",\"Find(0)=1, Find(2)=2, Add (0,2)=56 Succeeded, w=167\",\"Find(4)=1, Find(5)=1, Add (4,5)=56 Failed, w=167\",\"Find(3)=1, Find(6)=1, Add (3,6)=59 Failed, w=167\",\"Find(0)=1, Find(3)=1, Add (0,3)=85 Failed, w=167\",\"Find(2)=1, Find(3)=1, Add (2,3)=95 Failed, w=167\"],\"Answer\":167}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,56],[0,3,85],[1,3,0],[1,4,37],[2,3,95],[2,5,40],[2,6,54],[3,4,5],[3,6,59],[4,5,56]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=0,(3,4)=5,(0,1)=12,(1,4)=37,(2,5)=40,(2,6)=54,(0,2)=56,(4,5)=56,(3,6)=59,(0,3)=85,(2,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6}, Find(3)=1, Find(4)=4, Add (3,4)=5 Succeeded, w=5\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=17\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=1, Add (1,4)=37 Failed, w=17\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=40 Succeeded, w=57\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=54 Succeeded, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 2}, Find(0)=1, Find(2)=2, Add (0,2)=56 Succeeded, w=167\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(4)=1, Find(5)=1, Add (4,5)=56 Failed, w=167\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=59 Failed, w=167\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=85 Failed, w=167\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=95 Failed, w=167\"],\"Answer\":167}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,75],[0,4,60],[0,5,86],[0,6,50],[1,2,65],[1,3,41],[1,5,39],[1,6,24],[2,3,25],[2,5,18],[3,4,100],[3,5,11],[4,5,35],[5,6,37]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,4,60],[0,5,86],[0,6,50],[1,2,65],[1,3,41],[1,5,39],[1,6,24],[2,3,25],[2,5,18],[3,4,100],[3,5,11],[4,5,35],[5,6,37]]}", "role": "user" }, { "content": "{\"Answer\":175}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,4,60],[0,5,86],[0,6,50],[1,2,65],[1,3,41],[1,5,39],[1,6,24],[2,3,25],[2,5,18],[3,4,100],[3,5,11],[4,5,35],[5,6,37]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)\",\"Add (2,5)\",\"Add (1,6)\",\"Add (4,5)\",\"Add (5,6)\",\"Add (0,6)\"],\"Answer\":175}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,4,60],[0,5,86],[0,6,50],[1,2,65],[1,3,41],[1,5,39],[1,6,24],[2,3,25],[2,5,18],[3,4,100],[3,5,11],[4,5,35],[5,6,37]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=11, w=11\",\"Add (2,5)=18, w=29\",\"Add (1,6)=24, w=53\",\"Add (4,5)=35, w=88\",\"Add (5,6)=37, w=125\",\"Add (0,6)=50, w=175\"],\"Answer\":175}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,4,60],[0,5,86],[0,6,50],[1,2,65],[1,3,41],[1,5,39],[1,6,24],[2,3,25],[2,5,18],[3,4,100],[3,5,11],[4,5,35],[5,6,37]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,5)=11 Succeeded, w=11\",\"Add (2,5)=18 Succeeded, w=29\",\"Add (1,6)=24 Succeeded, w=53\",\"Add (2,3)=25 Failed, w=53\",\"Add (4,5)=35 Succeeded, w=88\",\"Add (5,6)=37 Succeeded, w=125\",\"Add (1,5)=39 Failed, w=125\",\"Add (1,3)=41 Failed, w=125\",\"Add (0,6)=50 Succeeded, w=175\",\"Add (0,4)=60 Failed, w=175\",\"Add (1,2)=65 Failed, w=175\",\"Add (0,1)=75 Failed, w=175\",\"Add (0,5)=86 Failed, w=175\",\"Add (3,4)=100 Failed, w=175\"],\"Answer\":175}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,4,60],[0,5,86],[0,6,50],[1,2,65],[1,3,41],[1,5,39],[1,6,24],[2,3,25],[2,5,18],[3,4,100],[3,5,11],[4,5,35],[5,6,37]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=11,(2,5)=18,(1,6)=24,(2,3)=25,(4,5)=35,(5,6)=37,(1,5)=39,(1,3)=41,(0,6)=50,(0,4)=60,(1,2)=65,(0,1)=75,(0,5)=86,(3,4)=100]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=11 Succeeded, w=11\",\"Find(2)=2, Find(5)=3, Add (2,5)=18 Succeeded, w=29\",\"Find(1)=1, Find(6)=6, Add (1,6)=24 Succeeded, w=53\",\"Find(2)=3, Find(3)=3, Add (2,3)=25 Failed, w=53\",\"Find(4)=4, Find(5)=3, Add (4,5)=35 Succeeded, w=88\",\"Find(5)=3, Find(6)=1, Add (5,6)=37 Succeeded, w=125\",\"Find(1)=3, Find(5)=3, Add (1,5)=39 Failed, w=125\",\"Find(1)=3, Find(3)=3, Add (1,3)=41 Failed, w=125\",\"Find(0)=0, Find(6)=3, Add (0,6)=50 Succeeded, w=175\",\"Find(0)=3, Find(4)=3, Add (0,4)=60 Failed, w=175\",\"Find(1)=3, Find(2)=3, Add (1,2)=65 Failed, w=175\",\"Find(0)=3, Find(1)=3, Add (0,1)=75 Failed, w=175\",\"Find(0)=3, Find(5)=3, Add (0,5)=86 Failed, w=175\",\"Find(3)=3, Find(4)=3, Add (3,4)=100 Failed, w=175\"],\"Answer\":175}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,4,60],[0,5,86],[0,6,50],[1,2,65],[1,3,41],[1,5,39],[1,6,24],[2,3,25],[2,5,18],[3,4,100],[3,5,11],[4,5,35],[5,6,37]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,5)=11,(2,5)=18,(1,6)=24,(2,3)=25,(4,5)=35,(5,6)=37,(1,5)=39,(1,3)=41,(0,6)=50,(0,4)=60,(1,2)=65,(0,1)=75,(0,5)=86,(3,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 6}, Find(2)=2, Find(5)=3, Add (2,5)=18 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=24 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 1}, Find(2)=3, Find(3)=3, Add (2,3)=25 Failed, w=53\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1}, Find(4)=4, Find(5)=3, Add (4,5)=35 Succeeded, w=88\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1}, Find(5)=3, Find(6)=1, Add (5,6)=37 Succeeded, w=125\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1}, Find(1)=3, Find(5)=3, Add (1,5)=39 Failed, w=125\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1}, Find(1)=3, Find(3)=3, Add (1,3)=41 Failed, w=125\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=0, Find(6)=3, Add (0,6)=50 Succeeded, w=175\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=60 Failed, w=175\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=65 Failed, w=175\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=75 Failed, w=175\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=86 Failed, w=175\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(4)=3, Add (3,4)=100 Failed, w=175\"],\"Answer\":175}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,93],[0,4,8],[0,5,41],[0,6,68],[1,2,53],[1,3,28],[1,4,4],[1,6,45],[2,3,32],[2,4,53],[2,5,50],[2,6,72],[3,4,35],[3,5,16],[3,6,82],[4,5,18],[5,6,1]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,93],[0,4,8],[0,5,41],[0,6,68],[1,2,53],[1,3,28],[1,4,4],[1,6,45],[2,3,32],[2,4,53],[2,5,50],[2,6,72],[3,4,35],[3,5,16],[3,6,82],[4,5,18],[5,6,1]]}", "role": "user" }, { "content": "{\"Answer\":79}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,93],[0,4,8],[0,5,41],[0,6,68],[1,2,53],[1,3,28],[1,4,4],[1,6,45],[2,3,32],[2,4,53],[2,5,50],[2,6,72],[3,4,35],[3,5,16],[3,6,82],[4,5,18],[5,6,1]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (3,5)\",\"Add (4,5)\",\"Add (2,3)\"],\"Answer\":79}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,93],[0,4,8],[0,5,41],[0,6,68],[1,2,53],[1,3,28],[1,4,4],[1,6,45],[2,3,32],[2,4,53],[2,5,50],[2,6,72],[3,4,35],[3,5,16],[3,6,82],[4,5,18],[5,6,1]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)=1, w=1\",\"Add (1,4)=4, w=5\",\"Add (0,4)=8, w=13\",\"Add (3,5)=16, w=29\",\"Add (4,5)=18, w=47\",\"Add (2,3)=32, w=79\"],\"Answer\":79}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,93],[0,4,8],[0,5,41],[0,6,68],[1,2,53],[1,3,28],[1,4,4],[1,6,45],[2,3,32],[2,4,53],[2,5,50],[2,6,72],[3,4,35],[3,5,16],[3,6,82],[4,5,18],[5,6,1]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)=1 Succeeded, w=1\",\"Add (1,4)=4 Succeeded, w=5\",\"Add (0,4)=8 Succeeded, w=13\",\"Add (3,5)=16 Succeeded, w=29\",\"Add (4,5)=18 Succeeded, w=47\",\"Add (1,3)=28 Failed, w=47\",\"Add (2,3)=32 Succeeded, w=79\",\"Add (3,4)=35 Failed, w=79\",\"Add (0,5)=41 Failed, w=79\",\"Add (1,6)=45 Failed, w=79\",\"Add (2,5)=50 Failed, w=79\",\"Add (1,2)=53 Failed, w=79\",\"Add (2,4)=53 Failed, w=79\",\"Add (0,6)=68 Failed, w=79\",\"Add (2,6)=72 Failed, w=79\",\"Add (3,6)=82 Failed, w=79\",\"Add (0,2)=93 Failed, w=79\"],\"Answer\":79}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,93],[0,4,8],[0,5,41],[0,6,68],[1,2,53],[1,3,28],[1,4,4],[1,6,45],[2,3,32],[2,4,53],[2,5,50],[2,6,72],[3,4,35],[3,5,16],[3,6,82],[4,5,18],[5,6,1]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(5,6)=1,(1,4)=4,(0,4)=8,(3,5)=16,(4,5)=18,(1,3)=28,(2,3)=32,(3,4)=35,(0,5)=41,(1,6)=45,(2,5)=50,(1,2)=53,(2,4)=53,(0,6)=68,(2,6)=72,(3,6)=82,(0,2)=93]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=1 Succeeded, w=1\",\"Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=5\",\"Find(0)=0, Find(4)=1, Add (0,4)=8 Succeeded, w=13\",\"Find(3)=3, Find(5)=5, Add (3,5)=16 Succeeded, w=29\",\"Find(4)=1, Find(5)=5, Add (4,5)=18 Succeeded, w=47\",\"Find(1)=1, Find(3)=1, Add (1,3)=28 Failed, w=47\",\"Find(2)=2, Find(3)=1, Add (2,3)=32 Succeeded, w=79\",\"Find(3)=1, Find(4)=1, Add (3,4)=35 Failed, w=79\",\"Find(0)=1, Find(5)=1, Add (0,5)=41 Failed, w=79\",\"Find(1)=1, Find(6)=1, Add (1,6)=45 Failed, w=79\",\"Find(2)=1, Find(5)=1, Add (2,5)=50 Failed, w=79\",\"Find(1)=1, Find(2)=1, Add (1,2)=53 Failed, w=79\",\"Find(2)=1, Find(4)=1, Add (2,4)=53 Failed, w=79\",\"Find(0)=1, Find(6)=1, Add (0,6)=68 Failed, w=79\",\"Find(2)=1, Find(6)=1, Add (2,6)=72 Failed, w=79\",\"Find(3)=1, Find(6)=1, Add (3,6)=82 Failed, w=79\",\"Find(0)=1, Find(2)=1, Add (0,2)=93 Failed, w=79\"],\"Answer\":79}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,93],[0,4,8],[0,5,41],[0,6,68],[1,2,53],[1,3,28],[1,4,4],[1,6,45],[2,3,32],[2,4,53],[2,5,50],[2,6,72],[3,4,35],[3,5,16],[3,6,82],[4,5,18],[5,6,1]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(5,6)=1,(1,4)=4,(0,4)=8,(3,5)=16,(4,5)=18,(1,3)=28,(2,3)=32,(3,4)=35,(0,5)=41,(1,6)=45,(2,5)=50,(1,2)=53,(2,4)=53,(0,6)=68,(2,6)=72,(3,6)=82,(0,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 5}, Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=5\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 5}, Find(0)=0, Find(4)=1, Add (0,4)=8 Succeeded, w=13\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 5, 4: 1, 5: 5, 6: 5}, Find(3)=3, Find(5)=5, Add (3,5)=16 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 5, 4: 1, 5: 1, 6: 5}, Find(4)=1, Find(5)=5, Add (4,5)=18 Succeeded, w=47\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 5}, Find(1)=1, Find(3)=1, Add (1,3)=28 Failed, w=47\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5}, Find(2)=2, Find(3)=1, Add (2,3)=32 Succeeded, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5}, Find(3)=1, Find(4)=1, Add (3,4)=35 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5}, Find(0)=1, Find(5)=1, Add (0,5)=41 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=45 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=50 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=53 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=53 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=68 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=72 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=82 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=93 Failed, w=79\"],\"Answer\":79}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,75],[0,3,65],[1,2,4],[1,3,81],[1,4,10],[1,5,82],[1,6,45],[2,4,85],[2,5,60],[3,6,96],[3,7,53],[4,5,55],[4,6,57],[4,7,1],[6,7,89]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,3,65],[1,2,4],[1,3,81],[1,4,10],[1,5,82],[1,6,45],[2,4,85],[2,5,60],[3,6,96],[3,7,53],[4,5,55],[4,6,57],[4,7,1],[6,7,89]]}", "role": "user" }, { "content": "{\"Answer\":233}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,3,65],[1,2,4],[1,3,81],[1,4,10],[1,5,82],[1,6,45],[2,4,85],[2,5,60],[3,6,96],[3,7,53],[4,5,55],[4,6,57],[4,7,1],[6,7,89]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,7)\",\"Add (1,2)\",\"Add (1,4)\",\"Add (1,6)\",\"Add (3,7)\",\"Add (4,5)\",\"Add (0,3)\"],\"Answer\":233}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,3,65],[1,2,4],[1,3,81],[1,4,10],[1,5,82],[1,6,45],[2,4,85],[2,5,60],[3,6,96],[3,7,53],[4,5,55],[4,6,57],[4,7,1],[6,7,89]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,7)=1, w=1\",\"Add (1,2)=4, w=5\",\"Add (1,4)=10, w=15\",\"Add (1,6)=45, w=60\",\"Add (3,7)=53, w=113\",\"Add (4,5)=55, w=168\",\"Add (0,3)=65, w=233\"],\"Answer\":233}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,3,65],[1,2,4],[1,3,81],[1,4,10],[1,5,82],[1,6,45],[2,4,85],[2,5,60],[3,6,96],[3,7,53],[4,5,55],[4,6,57],[4,7,1],[6,7,89]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (4,7)=1 Succeeded, w=1\",\"Add (1,2)=4 Succeeded, w=5\",\"Add (1,4)=10 Succeeded, w=15\",\"Add (1,6)=45 Succeeded, w=60\",\"Add (3,7)=53 Succeeded, w=113\",\"Add (4,5)=55 Succeeded, w=168\",\"Add (4,6)=57 Failed, w=168\",\"Add (2,5)=60 Failed, w=168\",\"Add (0,3)=65 Succeeded, w=233\",\"Add (0,2)=75 Failed, w=233\",\"Add (1,3)=81 Failed, w=233\",\"Add (1,5)=82 Failed, w=233\",\"Add (2,4)=85 Failed, w=233\",\"Add (6,7)=89 Failed, w=233\",\"Add (3,6)=96 Failed, w=233\"],\"Answer\":233}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,3,65],[1,2,4],[1,3,81],[1,4,10],[1,5,82],[1,6,45],[2,4,85],[2,5,60],[3,6,96],[3,7,53],[4,5,55],[4,6,57],[4,7,1],[6,7,89]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(4,7)=1,(1,2)=4,(1,4)=10,(1,6)=45,(3,7)=53,(4,5)=55,(4,6)=57,(2,5)=60,(0,3)=65,(0,2)=75,(1,3)=81,(1,5)=82,(2,4)=85,(6,7)=89,(3,6)=96]\",\"Process\":[\"Find(4)=4, Find(7)=7, Add (4,7)=1 Succeeded, w=1\",\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=5\",\"Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=15\",\"Find(1)=1, Find(6)=6, Add (1,6)=45 Succeeded, w=60\",\"Find(3)=3, Find(7)=1, Add (3,7)=53 Succeeded, w=113\",\"Find(4)=1, Find(5)=5, Add (4,5)=55 Succeeded, w=168\",\"Find(4)=1, Find(6)=1, Add (4,6)=57 Failed, w=168\",\"Find(2)=1, Find(5)=1, Add (2,5)=60 Failed, w=168\",\"Find(0)=0, Find(3)=1, Add (0,3)=65 Succeeded, w=233\",\"Find(0)=1, Find(2)=1, Add (0,2)=75 Failed, w=233\",\"Find(1)=1, Find(3)=1, Add (1,3)=81 Failed, w=233\",\"Find(1)=1, Find(5)=1, Add (1,5)=82 Failed, w=233\",\"Find(2)=1, Find(4)=1, Add (2,4)=85 Failed, w=233\",\"Find(6)=1, Find(7)=1, Add (6,7)=89 Failed, w=233\",\"Find(3)=1, Find(6)=1, Add (3,6)=96 Failed, w=233\"],\"Answer\":233}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,3,65],[1,2,4],[1,3,81],[1,4,10],[1,5,82],[1,6,45],[2,4,85],[2,5,60],[3,6,96],[3,7,53],[4,5,55],[4,6,57],[4,7,1],[6,7,89]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(4,7)=1,(1,2)=4,(1,4)=10,(1,6)=45,(3,7)=53,(4,5)=55,(4,6)=57,(2,5)=60,(0,3)=65,(0,2)=75,(1,3)=81,(1,5)=82,(2,4)=85,(6,7)=89,(3,6)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 6, 7: 4}, Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1, 7: 4}, Find(1)=1, Find(6)=6, Add (1,6)=45 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 1}, Find(3)=3, Find(7)=1, Add (3,7)=53 Succeeded, w=113\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(5)=5, Add (4,5)=55 Succeeded, w=168\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=57 Failed, w=168\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=60 Failed, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=0, Find(3)=1, Add (0,3)=65 Succeeded, w=233\",\"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)=75 Failed, w=233\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(3)=1, Add (1,3)=81 Failed, w=233\",\"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)=82 Failed, w=233\",\"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)=85 Failed, w=233\",\"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)=89 Failed, w=233\",\"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)=96 Failed, w=233\"],\"Answer\":233}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,15],[0,2,93],[1,2,21],[1,3,13],[2,3,12]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,93],[1,2,21],[1,3,13],[2,3,12]]}", "role": "user" }, { "content": "{\"Answer\":40}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,93],[1,2,21],[1,3,13],[2,3,12]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":40}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,93],[1,2,21],[1,3,13],[2,3,12]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=12, w=12\",\"Add (1,3)=13, w=25\",\"Add (0,1)=15, w=40\"],\"Answer\":40}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,93],[1,2,21],[1,3,13],[2,3,12]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=12 Succeeded, w=12\",\"Add (1,3)=13 Succeeded, w=25\",\"Add (0,1)=15 Succeeded, w=40\",\"Add (1,2)=21 Failed, w=40\",\"Add (0,2)=93 Failed, w=40\"],\"Answer\":40}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,93],[1,2,21],[1,3,13],[2,3,12]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=12,(1,3)=13,(0,1)=15,(1,2)=21,(0,2)=93]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=12\",\"Find(1)=1, Find(3)=2, Add (1,3)=13 Succeeded, w=25\",\"Find(0)=0, Find(1)=2, Add (0,1)=15 Succeeded, w=40\",\"Find(1)=2, Find(2)=2, Add (1,2)=21 Failed, w=40\",\"Find(0)=2, Find(2)=2, Add (0,2)=93 Failed, w=40\"],\"Answer\":40}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,93],[1,2,21],[1,3,13],[2,3,12]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=12,(1,3)=13,(0,1)=15,(1,2)=21,(0,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=13 Succeeded, w=25\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(1)=2, Add (0,1)=15 Succeeded, w=40\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=21 Failed, w=40\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=93 Failed, w=40\"],\"Answer\":40}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,87],[0,2,67],[0,3,51],[0,4,27],[0,5,85],[0,6,99],[0,7,9],[1,2,78],[1,3,83],[1,4,93],[1,7,36],[2,3,81],[2,4,55],[2,5,17],[2,6,97],[2,7,90],[3,4,44],[3,5,9],[3,6,70],[4,5,43],[4,6,18],[4,7,62],[5,6,13],[5,7,44],[6,7,25]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,67],[0,3,51],[0,4,27],[0,5,85],[0,6,99],[0,7,9],[1,2,78],[1,3,83],[1,4,93],[1,7,36],[2,3,81],[2,4,55],[2,5,17],[2,6,97],[2,7,90],[3,4,44],[3,5,9],[3,6,70],[4,5,43],[4,6,18],[4,7,62],[5,6,13],[5,7,44],[6,7,25]]}", "role": "user" }, { "content": "{\"Answer\":127}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,67],[0,3,51],[0,4,27],[0,5,85],[0,6,99],[0,7,9],[1,2,78],[1,3,83],[1,4,93],[1,7,36],[2,3,81],[2,4,55],[2,5,17],[2,6,97],[2,7,90],[3,4,44],[3,5,9],[3,6,70],[4,5,43],[4,6,18],[4,7,62],[5,6,13],[5,7,44],[6,7,25]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,7)\",\"Add (3,5)\",\"Add (5,6)\",\"Add (2,5)\",\"Add (4,6)\",\"Add (6,7)\",\"Add (1,7)\"],\"Answer\":127}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,67],[0,3,51],[0,4,27],[0,5,85],[0,6,99],[0,7,9],[1,2,78],[1,3,83],[1,4,93],[1,7,36],[2,3,81],[2,4,55],[2,5,17],[2,6,97],[2,7,90],[3,4,44],[3,5,9],[3,6,70],[4,5,43],[4,6,18],[4,7,62],[5,6,13],[5,7,44],[6,7,25]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,7)=9, w=9\",\"Add (3,5)=9, w=18\",\"Add (5,6)=13, w=31\",\"Add (2,5)=17, w=48\",\"Add (4,6)=18, w=66\",\"Add (6,7)=25, w=91\",\"Add (1,7)=36, w=127\"],\"Answer\":127}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,67],[0,3,51],[0,4,27],[0,5,85],[0,6,99],[0,7,9],[1,2,78],[1,3,83],[1,4,93],[1,7,36],[2,3,81],[2,4,55],[2,5,17],[2,6,97],[2,7,90],[3,4,44],[3,5,9],[3,6,70],[4,5,43],[4,6,18],[4,7,62],[5,6,13],[5,7,44],[6,7,25]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,7)=9 Succeeded, w=9\",\"Add (3,5)=9 Succeeded, w=18\",\"Add (5,6)=13 Succeeded, w=31\",\"Add (2,5)=17 Succeeded, w=48\",\"Add (4,6)=18 Succeeded, w=66\",\"Add (6,7)=25 Succeeded, w=91\",\"Add (0,4)=27 Failed, w=91\",\"Add (1,7)=36 Succeeded, w=127\",\"Add (4,5)=43 Failed, w=127\",\"Add (3,4)=44 Failed, w=127\",\"Add (5,7)=44 Failed, w=127\",\"Add (0,3)=51 Failed, w=127\",\"Add (2,4)=55 Failed, w=127\",\"Add (4,7)=62 Failed, w=127\",\"Add (0,2)=67 Failed, w=127\",\"Add (3,6)=70 Failed, w=127\",\"Add (1,2)=78 Failed, w=127\",\"Add (2,3)=81 Failed, w=127\",\"Add (1,3)=83 Failed, w=127\",\"Add (0,5)=85 Failed, w=127\",\"Add (0,1)=87 Failed, w=127\",\"Add (2,7)=90 Failed, w=127\",\"Add (1,4)=93 Failed, w=127\",\"Add (2,6)=97 Failed, w=127\",\"Add (0,6)=99 Failed, w=127\"],\"Answer\":127}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,67],[0,3,51],[0,4,27],[0,5,85],[0,6,99],[0,7,9],[1,2,78],[1,3,83],[1,4,93],[1,7,36],[2,3,81],[2,4,55],[2,5,17],[2,6,97],[2,7,90],[3,4,44],[3,5,9],[3,6,70],[4,5,43],[4,6,18],[4,7,62],[5,6,13],[5,7,44],[6,7,25]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,7)=9,(3,5)=9,(5,6)=13,(2,5)=17,(4,6)=18,(6,7)=25,(0,4)=27,(1,7)=36,(4,5)=43,(3,4)=44,(5,7)=44,(0,3)=51,(2,4)=55,(4,7)=62,(0,2)=67,(3,6)=70,(1,2)=78,(2,3)=81,(1,3)=83,(0,5)=85,(0,1)=87,(2,7)=90,(1,4)=93,(2,6)=97,(0,6)=99]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=9 Succeeded, w=9\",\"Find(3)=3, Find(5)=5, Add (3,5)=9 Succeeded, w=18\",\"Find(5)=3, Find(6)=6, Add (5,6)=13 Succeeded, w=31\",\"Find(2)=2, Find(5)=3, Add (2,5)=17 Succeeded, w=48\",\"Find(4)=4, Find(6)=3, Add (4,6)=18 Succeeded, w=66\",\"Find(6)=3, Find(7)=0, Add (6,7)=25 Succeeded, w=91\",\"Find(0)=3, Find(4)=3, Add (0,4)=27 Failed, w=91\",\"Find(1)=1, Find(7)=3, Add (1,7)=36 Succeeded, w=127\",\"Find(4)=3, Find(5)=3, Add (4,5)=43 Failed, w=127\",\"Find(3)=3, Find(4)=3, Add (3,4)=44 Failed, w=127\",\"Find(5)=3, Find(7)=3, Add (5,7)=44 Failed, w=127\",\"Find(0)=3, Find(3)=3, Add (0,3)=51 Failed, w=127\",\"Find(2)=3, Find(4)=3, Add (2,4)=55 Failed, w=127\",\"Find(4)=3, Find(7)=3, Add (4,7)=62 Failed, w=127\",\"Find(0)=3, Find(2)=3, Add (0,2)=67 Failed, w=127\",\"Find(3)=3, Find(6)=3, Add (3,6)=70 Failed, w=127\",\"Find(1)=3, Find(2)=3, Add (1,2)=78 Failed, w=127\",\"Find(2)=3, Find(3)=3, Add (2,3)=81 Failed, w=127\",\"Find(1)=3, Find(3)=3, Add (1,3)=83 Failed, w=127\",\"Find(0)=3, Find(5)=3, Add (0,5)=85 Failed, w=127\",\"Find(0)=3, Find(1)=3, Add (0,1)=87 Failed, w=127\",\"Find(2)=3, Find(7)=3, Add (2,7)=90 Failed, w=127\",\"Find(1)=3, Find(4)=3, Add (1,4)=93 Failed, w=127\",\"Find(2)=3, Find(6)=3, Add (2,6)=97 Failed, w=127\",\"Find(0)=3, Find(6)=3, Add (0,6)=99 Failed, w=127\"],\"Answer\":127}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,67],[0,3,51],[0,4,27],[0,5,85],[0,6,99],[0,7,9],[1,2,78],[1,3,83],[1,4,93],[1,7,36],[2,3,81],[2,4,55],[2,5,17],[2,6,97],[2,7,90],[3,4,44],[3,5,9],[3,6,70],[4,5,43],[4,6,18],[4,7,62],[5,6,13],[5,7,44],[6,7,25]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,7)=9,(3,5)=9,(5,6)=13,(2,5)=17,(4,6)=18,(6,7)=25,(0,4)=27,(1,7)=36,(4,5)=43,(3,4)=44,(5,7)=44,(0,3)=51,(2,4)=55,(4,7)=62,(0,2)=67,(3,6)=70,(1,2)=78,(2,3)=81,(1,3)=83,(0,5)=85,(0,1)=87,(2,7)=90,(1,4)=93,(2,6)=97,(0,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 0}, Find(3)=3, Find(5)=5, Add (3,5)=9 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3, 7: 0}, Find(5)=3, Find(6)=6, Add (5,6)=13 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 0}, Find(2)=2, Find(5)=3, Add (2,5)=17 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 0}, Find(4)=4, Find(6)=3, Add (4,6)=18 Succeeded, w=66\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 0}, Find(6)=3, Find(7)=0, Add (6,7)=25 Succeeded, w=91\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 0}, Find(0)=3, Find(4)=3, Add (0,4)=27 Failed, w=91\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=1, Find(7)=3, Add (1,7)=36 Succeeded, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=43 Failed, w=127\",\"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)=44 Failed, w=127\",\"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)=44 Failed, w=127\",\"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)=51 Failed, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=55 Failed, w=127\",\"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)=62 Failed, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(2)=3, Add (0,2)=67 Failed, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(6)=3, Add (3,6)=70 Failed, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=78 Failed, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=81 Failed, w=127\",\"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)=83 Failed, w=127\",\"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)=85 Failed, w=127\",\"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)=87 Failed, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=90 Failed, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=93 Failed, w=127\",\"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)=97 Failed, w=127\",\"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)=99 Failed, w=127\"],\"Answer\":127}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,20],[0,2,59],[0,3,100],[0,6,59],[0,7,61],[1,2,29],[1,3,0],[1,4,88],[1,5,18],[1,6,17],[2,4,84],[2,6,8],[3,4,17],[3,7,99],[4,7,61],[5,6,84],[6,7,93]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,59],[0,3,100],[0,6,59],[0,7,61],[1,2,29],[1,3,0],[1,4,88],[1,5,18],[1,6,17],[2,4,84],[2,6,8],[3,4,17],[3,7,99],[4,7,61],[5,6,84],[6,7,93]]}", "role": "user" }, { "content": "{\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,59],[0,3,100],[0,6,59],[0,7,61],[1,2,29],[1,3,0],[1,4,88],[1,5,18],[1,6,17],[2,4,84],[2,6,8],[3,4,17],[3,7,99],[4,7,61],[5,6,84],[6,7,93]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (2,6)\",\"Add (1,6)\",\"Add (3,4)\",\"Add (1,5)\",\"Add (0,1)\",\"Add (0,7)\"],\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,59],[0,3,100],[0,6,59],[0,7,61],[1,2,29],[1,3,0],[1,4,88],[1,5,18],[1,6,17],[2,4,84],[2,6,8],[3,4,17],[3,7,99],[4,7,61],[5,6,84],[6,7,93]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (2,6)=8, w=8\",\"Add (1,6)=17, w=25\",\"Add (3,4)=17, w=42\",\"Add (1,5)=18, w=60\",\"Add (0,1)=20, w=80\",\"Add (0,7)=61, w=141\"],\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,59],[0,3,100],[0,6,59],[0,7,61],[1,2,29],[1,3,0],[1,4,88],[1,5,18],[1,6,17],[2,4,84],[2,6,8],[3,4,17],[3,7,99],[4,7,61],[5,6,84],[6,7,93]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (2,6)=8 Succeeded, w=8\",\"Add (1,6)=17 Succeeded, w=25\",\"Add (3,4)=17 Succeeded, w=42\",\"Add (1,5)=18 Succeeded, w=60\",\"Add (0,1)=20 Succeeded, w=80\",\"Add (1,2)=29 Failed, w=80\",\"Add (0,2)=59 Failed, w=80\",\"Add (0,6)=59 Failed, w=80\",\"Add (0,7)=61 Succeeded, w=141\",\"Add (4,7)=61 Failed, w=141\",\"Add (2,4)=84 Failed, w=141\",\"Add (5,6)=84 Failed, w=141\",\"Add (1,4)=88 Failed, w=141\",\"Add (6,7)=93 Failed, w=141\",\"Add (3,7)=99 Failed, w=141\",\"Add (0,3)=100 Failed, w=141\"],\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,59],[0,3,100],[0,6,59],[0,7,61],[1,2,29],[1,3,0],[1,4,88],[1,5,18],[1,6,17],[2,4,84],[2,6,8],[3,4,17],[3,7,99],[4,7,61],[5,6,84],[6,7,93]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=0,(2,6)=8,(1,6)=17,(3,4)=17,(1,5)=18,(0,1)=20,(1,2)=29,(0,2)=59,(0,6)=59,(0,7)=61,(4,7)=61,(2,4)=84,(5,6)=84,(1,4)=88,(6,7)=93,(3,7)=99,(0,3)=100]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(2)=2, Find(6)=6, Add (2,6)=8 Succeeded, w=8\",\"Find(1)=1, Find(6)=2, Add (1,6)=17 Succeeded, w=25\",\"Find(3)=1, Find(4)=4, Add (3,4)=17 Succeeded, w=42\",\"Find(1)=1, Find(5)=5, Add (1,5)=18 Succeeded, w=60\",\"Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=80\",\"Find(1)=1, Find(2)=1, Add (1,2)=29 Failed, w=80\",\"Find(0)=1, Find(2)=1, Add (0,2)=59 Failed, w=80\",\"Find(0)=1, Find(6)=1, Add (0,6)=59 Failed, w=80\",\"Find(0)=1, Find(7)=7, Add (0,7)=61 Succeeded, w=141\",\"Find(4)=1, Find(7)=1, Add (4,7)=61 Failed, w=141\",\"Find(2)=1, Find(4)=1, Add (2,4)=84 Failed, w=141\",\"Find(5)=1, Find(6)=1, Add (5,6)=84 Failed, w=141\",\"Find(1)=1, Find(4)=1, Add (1,4)=88 Failed, w=141\",\"Find(6)=1, Find(7)=1, Add (6,7)=93 Failed, w=141\",\"Find(3)=1, Find(7)=1, Add (3,7)=99 Failed, w=141\",\"Find(0)=1, Find(3)=1, Add (0,3)=100 Failed, w=141\"],\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,59],[0,3,100],[0,6,59],[0,7,61],[1,2,29],[1,3,0],[1,4,88],[1,5,18],[1,6,17],[2,4,84],[2,6,8],[3,4,17],[3,7,99],[4,7,61],[5,6,84],[6,7,93]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=0,(2,6)=8,(1,6)=17,(3,4)=17,(1,5)=18,(0,1)=20,(1,2)=29,(0,2)=59,(0,6)=59,(0,7)=61,(4,7)=61,(2,4)=84,(5,6)=84,(1,4)=88,(6,7)=93,(3,7)=99,(0,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 2, 7: 7}, Find(1)=1, Find(6)=2, Add (1,6)=17 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 2, 7: 7}, Find(3)=1, Find(4)=4, Add (3,4)=17 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=18 Succeeded, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 7}, Find(1)=1, Find(2)=1, Add (1,2)=29 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 7}, Find(0)=1, Find(2)=1, Add (0,2)=59 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(0)=1, Find(6)=1, Add (0,6)=59 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=7, Add (0,7)=61 Succeeded, w=141\",\"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)=61 Failed, w=141\",\"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)=84 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=84 Failed, w=141\",\"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)=88 Failed, w=141\",\"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)=93 Failed, w=141\",\"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)=99 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=100 Failed, w=141\"],\"Answer\":141}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,20],[0,4,96],[0,6,78],[1,2,63],[1,3,97],[1,4,67],[1,5,13],[1,6,79],[1,7,29],[2,3,44],[2,4,66],[2,5,8],[2,6,62],[3,4,20],[3,5,8],[3,6,1],[3,7,30],[4,5,40],[4,6,30],[4,7,5],[5,6,74]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,20],[0,4,96],[0,6,78],[1,2,63],[1,3,97],[1,4,67],[1,5,13],[1,6,79],[1,7,29],[2,3,44],[2,4,66],[2,5,8],[2,6,62],[3,4,20],[3,5,8],[3,6,1],[3,7,30],[4,5,40],[4,6,30],[4,7,5],[5,6,74]]}", "role": "user" }, { "content": "{\"Answer\":75}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,20],[0,4,96],[0,6,78],[1,2,63],[1,3,97],[1,4,67],[1,5,13],[1,6,79],[1,7,29],[2,3,44],[2,4,66],[2,5,8],[2,6,62],[3,4,20],[3,5,8],[3,6,1],[3,7,30],[4,5,40],[4,6,30],[4,7,5],[5,6,74]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)\",\"Add (4,7)\",\"Add (2,5)\",\"Add (3,5)\",\"Add (1,5)\",\"Add (0,2)\",\"Add (3,4)\"],\"Answer\":75}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,20],[0,4,96],[0,6,78],[1,2,63],[1,3,97],[1,4,67],[1,5,13],[1,6,79],[1,7,29],[2,3,44],[2,4,66],[2,5,8],[2,6,62],[3,4,20],[3,5,8],[3,6,1],[3,7,30],[4,5,40],[4,6,30],[4,7,5],[5,6,74]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)=1, w=1\",\"Add (4,7)=5, w=6\",\"Add (2,5)=8, w=14\",\"Add (3,5)=8, w=22\",\"Add (1,5)=13, w=35\",\"Add (0,2)=20, w=55\",\"Add (3,4)=20, w=75\"],\"Answer\":75}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,20],[0,4,96],[0,6,78],[1,2,63],[1,3,97],[1,4,67],[1,5,13],[1,6,79],[1,7,29],[2,3,44],[2,4,66],[2,5,8],[2,6,62],[3,4,20],[3,5,8],[3,6,1],[3,7,30],[4,5,40],[4,6,30],[4,7,5],[5,6,74]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,6)=1 Succeeded, w=1\",\"Add (4,7)=5 Succeeded, w=6\",\"Add (2,5)=8 Succeeded, w=14\",\"Add (3,5)=8 Succeeded, w=22\",\"Add (1,5)=13 Succeeded, w=35\",\"Add (0,2)=20 Succeeded, w=55\",\"Add (3,4)=20 Succeeded, w=75\",\"Add (1,7)=29 Failed, w=75\",\"Add (3,7)=30 Failed, w=75\",\"Add (4,6)=30 Failed, w=75\",\"Add (4,5)=40 Failed, w=75\",\"Add (2,3)=44 Failed, w=75\",\"Add (2,6)=62 Failed, w=75\",\"Add (1,2)=63 Failed, w=75\",\"Add (2,4)=66 Failed, w=75\",\"Add (1,4)=67 Failed, w=75\",\"Add (5,6)=74 Failed, w=75\",\"Add (0,6)=78 Failed, w=75\",\"Add (1,6)=79 Failed, w=75\",\"Add (0,4)=96 Failed, w=75\",\"Add (1,3)=97 Failed, w=75\"],\"Answer\":75}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,20],[0,4,96],[0,6,78],[1,2,63],[1,3,97],[1,4,67],[1,5,13],[1,6,79],[1,7,29],[2,3,44],[2,4,66],[2,5,8],[2,6,62],[3,4,20],[3,5,8],[3,6,1],[3,7,30],[4,5,40],[4,6,30],[4,7,5],[5,6,74]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,6)=1,(4,7)=5,(2,5)=8,(3,5)=8,(1,5)=13,(0,2)=20,(3,4)=20,(1,7)=29,(3,7)=30,(4,6)=30,(4,5)=40,(2,3)=44,(2,6)=62,(1,2)=63,(2,4)=66,(1,4)=67,(5,6)=74,(0,6)=78,(1,6)=79,(0,4)=96,(1,3)=97]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=1 Succeeded, w=1\",\"Find(4)=4, Find(7)=7, Add (4,7)=5 Succeeded, w=6\",\"Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=14\",\"Find(3)=3, Find(5)=2, Add (3,5)=8 Succeeded, w=22\",\"Find(1)=1, Find(5)=3, Add (1,5)=13 Succeeded, w=35\",\"Find(0)=0, Find(2)=3, Add (0,2)=20 Succeeded, w=55\",\"Find(3)=3, Find(4)=4, Add (3,4)=20 Succeeded, w=75\",\"Find(1)=3, Find(7)=3, Add (1,7)=29 Failed, w=75\",\"Find(3)=3, Find(7)=3, Add (3,7)=30 Failed, w=75\",\"Find(4)=3, Find(6)=3, Add (4,6)=30 Failed, w=75\",\"Find(4)=3, Find(5)=3, Add (4,5)=40 Failed, w=75\",\"Find(2)=3, Find(3)=3, Add (2,3)=44 Failed, w=75\",\"Find(2)=3, Find(6)=3, Add (2,6)=62 Failed, w=75\",\"Find(1)=3, Find(2)=3, Add (1,2)=63 Failed, w=75\",\"Find(2)=3, Find(4)=3, Add (2,4)=66 Failed, w=75\",\"Find(1)=3, Find(4)=3, Add (1,4)=67 Failed, w=75\",\"Find(5)=3, Find(6)=3, Add (5,6)=74 Failed, w=75\",\"Find(0)=3, Find(6)=3, Add (0,6)=78 Failed, w=75\",\"Find(1)=3, Find(6)=3, Add (1,6)=79 Failed, w=75\",\"Find(0)=3, Find(4)=3, Add (0,4)=96 Failed, w=75\",\"Find(1)=3, Find(3)=3, Add (1,3)=97 Failed, w=75\"],\"Answer\":75}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,20],[0,4,96],[0,6,78],[1,2,63],[1,3,97],[1,4,67],[1,5,13],[1,6,79],[1,7,29],[2,3,44],[2,4,66],[2,5,8],[2,6,62],[3,4,20],[3,5,8],[3,6,1],[3,7,30],[4,5,40],[4,6,30],[4,7,5],[5,6,74]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,6)=1,(4,7)=5,(2,5)=8,(3,5)=8,(1,5)=13,(0,2)=20,(3,4)=20,(1,7)=29,(3,7)=30,(4,6)=30,(4,5)=40,(2,3)=44,(2,6)=62,(1,2)=63,(2,4)=66,(1,4)=67,(5,6)=74,(0,6)=78,(1,6)=79,(0,4)=96,(1,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 3, 7: 4}, Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 2, 6: 3, 7: 4}, Find(3)=3, Find(5)=2, Add (3,5)=8 Succeeded, w=22\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 4}, Find(1)=1, Find(5)=3, Add (1,5)=13 Succeeded, w=35\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 4}, Find(0)=0, Find(2)=3, Add (0,2)=20 Succeeded, w=55\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 4}, Find(3)=3, Find(4)=4, Add (3,4)=20 Succeeded, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=29 Failed, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=30 Failed, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=30 Failed, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=40 Failed, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=44 Failed, w=75\",\"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)=62 Failed, w=75\",\"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)=63 Failed, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=66 Failed, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=67 Failed, w=75\",\"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)=74 Failed, w=75\",\"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)=78 Failed, w=75\",\"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)=79 Failed, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=96 Failed, w=75\",\"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)=97 Failed, w=75\"],\"Answer\":75}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,14],[2,3,51]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[2,3,51]]}", "role": "user" }, { "content": "{\"Answer\":65}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[2,3,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":65}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[2,3,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=14, w=14\",\"Add (2,3)=51, w=65\"],\"Answer\":65}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[2,3,51]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=14 Succeeded, w=14\",\"Add (2,3)=51 Succeeded, w=65\"],\"Answer\":65}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[2,3,51]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=14,(2,3)=51]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=14\",\"Find(2)=2, Find(3)=3, Add (2,3)=51 Succeeded, w=65\"],\"Answer\":65}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[2,3,51]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=14,(2,3)=51]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=51 Succeeded, w=65\"],\"Answer\":65}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,69],[0,2,43],[0,3,98],[0,4,16],[0,5,5],[0,6,40],[1,2,57],[1,3,61],[1,4,0],[1,5,54],[1,6,49],[2,3,38],[2,4,64],[2,6,81],[3,4,52],[3,5,71],[3,6,3],[4,5,7],[4,6,97],[5,6,79]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,43],[0,3,98],[0,4,16],[0,5,5],[0,6,40],[1,2,57],[1,3,61],[1,4,0],[1,5,54],[1,6,49],[2,3,38],[2,4,64],[2,6,81],[3,4,52],[3,5,71],[3,6,3],[4,5,7],[4,6,97],[5,6,79]]}", "role": "user" }, { "content": "{\"Answer\":93}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,43],[0,3,98],[0,4,16],[0,5,5],[0,6,40],[1,2,57],[1,3,61],[1,4,0],[1,5,54],[1,6,49],[2,3,38],[2,4,64],[2,6,81],[3,4,52],[3,5,71],[3,6,3],[4,5,7],[4,6,97],[5,6,79]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)\",\"Add (3,6)\",\"Add (0,5)\",\"Add (4,5)\",\"Add (2,3)\",\"Add (0,6)\"],\"Answer\":93}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,43],[0,3,98],[0,4,16],[0,5,5],[0,6,40],[1,2,57],[1,3,61],[1,4,0],[1,5,54],[1,6,49],[2,3,38],[2,4,64],[2,6,81],[3,4,52],[3,5,71],[3,6,3],[4,5,7],[4,6,97],[5,6,79]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (3,6)=3, w=3\",\"Add (0,5)=5, w=8\",\"Add (4,5)=7, w=15\",\"Add (2,3)=38, w=53\",\"Add (0,6)=40, w=93\"],\"Answer\":93}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,43],[0,3,98],[0,4,16],[0,5,5],[0,6,40],[1,2,57],[1,3,61],[1,4,0],[1,5,54],[1,6,49],[2,3,38],[2,4,64],[2,6,81],[3,4,52],[3,5,71],[3,6,3],[4,5,7],[4,6,97],[5,6,79]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (3,6)=3 Succeeded, w=3\",\"Add (0,5)=5 Succeeded, w=8\",\"Add (4,5)=7 Succeeded, w=15\",\"Add (0,4)=16 Failed, w=15\",\"Add (2,3)=38 Succeeded, w=53\",\"Add (0,6)=40 Succeeded, w=93\",\"Add (0,2)=43 Failed, w=93\",\"Add (1,6)=49 Failed, w=93\",\"Add (3,4)=52 Failed, w=93\",\"Add (1,5)=54 Failed, w=93\",\"Add (1,2)=57 Failed, w=93\",\"Add (1,3)=61 Failed, w=93\",\"Add (2,4)=64 Failed, w=93\",\"Add (0,1)=69 Failed, w=93\",\"Add (3,5)=71 Failed, w=93\",\"Add (5,6)=79 Failed, w=93\",\"Add (2,6)=81 Failed, w=93\",\"Add (4,6)=97 Failed, w=93\",\"Add (0,3)=98 Failed, w=93\"],\"Answer\":93}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,43],[0,3,98],[0,4,16],[0,5,5],[0,6,40],[1,2,57],[1,3,61],[1,4,0],[1,5,54],[1,6,49],[2,3,38],[2,4,64],[2,6,81],[3,4,52],[3,5,71],[3,6,3],[4,5,7],[4,6,97],[5,6,79]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=0,(3,6)=3,(0,5)=5,(4,5)=7,(0,4)=16,(2,3)=38,(0,6)=40,(0,2)=43,(1,6)=49,(3,4)=52,(1,5)=54,(1,2)=57,(1,3)=61,(2,4)=64,(0,1)=69,(3,5)=71,(5,6)=79,(2,6)=81,(4,6)=97,(0,3)=98]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(3)=3, Find(6)=6, Add (3,6)=3 Succeeded, w=3\",\"Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=8\",\"Find(4)=1, Find(5)=0, Add (4,5)=7 Succeeded, w=15\",\"Find(0)=1, Find(4)=1, Add (0,4)=16 Failed, w=15\",\"Find(2)=2, Find(3)=3, Add (2,3)=38 Succeeded, w=53\",\"Find(0)=1, Find(6)=3, Add (0,6)=40 Succeeded, w=93\",\"Find(0)=1, Find(2)=1, Add (0,2)=43 Failed, w=93\",\"Find(1)=1, Find(6)=1, Add (1,6)=49 Failed, w=93\",\"Find(3)=1, Find(4)=1, Add (3,4)=52 Failed, w=93\",\"Find(1)=1, Find(5)=1, Add (1,5)=54 Failed, w=93\",\"Find(1)=1, Find(2)=1, Add (1,2)=57 Failed, w=93\",\"Find(1)=1, Find(3)=1, Add (1,3)=61 Failed, w=93\",\"Find(2)=1, Find(4)=1, Add (2,4)=64 Failed, w=93\",\"Find(0)=1, Find(1)=1, Add (0,1)=69 Failed, w=93\",\"Find(3)=1, Find(5)=1, Add (3,5)=71 Failed, w=93\",\"Find(5)=1, Find(6)=1, Add (5,6)=79 Failed, w=93\",\"Find(2)=1, Find(6)=1, Add (2,6)=81 Failed, w=93\",\"Find(4)=1, Find(6)=1, Add (4,6)=97 Failed, w=93\",\"Find(0)=1, Find(3)=1, Add (0,3)=98 Failed, w=93\"],\"Answer\":93}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,43],[0,3,98],[0,4,16],[0,5,5],[0,6,40],[1,2,57],[1,3,61],[1,4,0],[1,5,54],[1,6,49],[2,3,38],[2,4,64],[2,6,81],[3,4,52],[3,5,71],[3,6,3],[4,5,7],[4,6,97],[5,6,79]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=0,(3,6)=3,(0,5)=5,(4,5)=7,(0,4)=16,(2,3)=38,(0,6)=40,(0,2)=43,(1,6)=49,(3,4)=52,(1,5)=54,(1,2)=57,(1,3)=61,(2,4)=64,(0,1)=69,(3,5)=71,(5,6)=79,(2,6)=81,(4,6)=97,(0,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0, 6: 3}, Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=8\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0, 6: 3}, Find(4)=1, Find(5)=0, Add (4,5)=7 Succeeded, w=15\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0, 6: 3}, Find(0)=1, Find(4)=1, Add (0,4)=16 Failed, w=15\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 3, 4: 1, 5: 0, 6: 3}, Find(2)=2, Find(3)=3, Add (2,3)=38 Succeeded, w=53\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 0, 6: 3}, Find(0)=1, Find(6)=3, Add (0,6)=40 Succeeded, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 3}, Find(0)=1, Find(2)=1, Add (0,2)=43 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=49 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=52 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=54 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=57 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=61 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=64 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=69 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=71 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=79 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=81 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=97 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=98 Failed, w=93\"],\"Answer\":93}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,6,20],[0,7,37],[1,2,90],[1,3,92],[1,6,27],[2,5,22],[2,7,32],[3,4,99],[3,6,34],[3,7,79],[4,5,97],[4,6,23],[5,6,86],[5,7,92]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,6,20],[0,7,37],[1,2,90],[1,3,92],[1,6,27],[2,5,22],[2,7,32],[3,4,99],[3,6,34],[3,7,79],[4,5,97],[4,6,23],[5,6,86],[5,7,92]]}", "role": "user" }, { "content": "{\"Answer\":195}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,6,20],[0,7,37],[1,2,90],[1,3,92],[1,6,27],[2,5,22],[2,7,32],[3,4,99],[3,6,34],[3,7,79],[4,5,97],[4,6,23],[5,6,86],[5,7,92]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,6)\",\"Add (2,5)\",\"Add (4,6)\",\"Add (1,6)\",\"Add (2,7)\",\"Add (3,6)\",\"Add (0,7)\"],\"Answer\":195}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,6,20],[0,7,37],[1,2,90],[1,3,92],[1,6,27],[2,5,22],[2,7,32],[3,4,99],[3,6,34],[3,7,79],[4,5,97],[4,6,23],[5,6,86],[5,7,92]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,6)=20, w=20\",\"Add (2,5)=22, w=42\",\"Add (4,6)=23, w=65\",\"Add (1,6)=27, w=92\",\"Add (2,7)=32, w=124\",\"Add (3,6)=34, w=158\",\"Add (0,7)=37, w=195\"],\"Answer\":195}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,6,20],[0,7,37],[1,2,90],[1,3,92],[1,6,27],[2,5,22],[2,7,32],[3,4,99],[3,6,34],[3,7,79],[4,5,97],[4,6,23],[5,6,86],[5,7,92]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,6)=20 Succeeded, w=20\",\"Add (2,5)=22 Succeeded, w=42\",\"Add (4,6)=23 Succeeded, w=65\",\"Add (1,6)=27 Succeeded, w=92\",\"Add (2,7)=32 Succeeded, w=124\",\"Add (3,6)=34 Succeeded, w=158\",\"Add (0,7)=37 Succeeded, w=195\",\"Add (3,7)=79 Failed, w=195\",\"Add (5,6)=86 Failed, w=195\",\"Add (1,2)=90 Failed, w=195\",\"Add (1,3)=92 Failed, w=195\",\"Add (5,7)=92 Failed, w=195\",\"Add (4,5)=97 Failed, w=195\",\"Add (3,4)=99 Failed, w=195\"],\"Answer\":195}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,6,20],[0,7,37],[1,2,90],[1,3,92],[1,6,27],[2,5,22],[2,7,32],[3,4,99],[3,6,34],[3,7,79],[4,5,97],[4,6,23],[5,6,86],[5,7,92]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,6)=20,(2,5)=22,(4,6)=23,(1,6)=27,(2,7)=32,(3,6)=34,(0,7)=37,(3,7)=79,(5,6)=86,(1,2)=90,(1,3)=92,(5,7)=92,(4,5)=97,(3,4)=99]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=20 Succeeded, w=20\",\"Find(2)=2, Find(5)=5, Add (2,5)=22 Succeeded, w=42\",\"Find(4)=4, Find(6)=0, Add (4,6)=23 Succeeded, w=65\",\"Find(1)=1, Find(6)=0, Add (1,6)=27 Succeeded, w=92\",\"Find(2)=2, Find(7)=7, Add (2,7)=32 Succeeded, w=124\",\"Find(3)=3, Find(6)=0, Add (3,6)=34 Succeeded, w=158\",\"Find(0)=0, Find(7)=2, Add (0,7)=37 Succeeded, w=195\",\"Find(3)=0, Find(7)=0, Add (3,7)=79 Failed, w=195\",\"Find(5)=0, Find(6)=0, Add (5,6)=86 Failed, w=195\",\"Find(1)=0, Find(2)=0, Add (1,2)=90 Failed, w=195\",\"Find(1)=0, Find(3)=0, Add (1,3)=92 Failed, w=195\",\"Find(5)=0, Find(7)=0, Add (5,7)=92 Failed, w=195\",\"Find(4)=0, Find(5)=0, Add (4,5)=97 Failed, w=195\",\"Find(3)=0, Find(4)=0, Add (3,4)=99 Failed, w=195\"],\"Answer\":195}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,6,20],[0,7,37],[1,2,90],[1,3,92],[1,6,27],[2,5,22],[2,7,32],[3,4,99],[3,6,34],[3,7,79],[4,5,97],[4,6,23],[5,6,86],[5,7,92]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,6)=20,(2,5)=22,(4,6)=23,(1,6)=27,(2,7)=32,(3,6)=34,(0,7)=37,(3,7)=79,(5,6)=86,(1,2)=90,(1,3)=92,(5,7)=92,(4,5)=97,(3,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 0, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=22 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 2, 6: 0, 7: 7}, Find(4)=4, Find(6)=0, Add (4,6)=23 Succeeded, w=65\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 2, 6: 0, 7: 7}, Find(1)=1, Find(6)=0, Add (1,6)=27 Succeeded, w=92\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 2, 6: 0, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=32 Succeeded, w=124\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2, 6: 0, 7: 2}, Find(3)=3, Find(6)=0, Add (3,6)=34 Succeeded, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 2}, Find(0)=0, Find(7)=2, Add (0,7)=37 Succeeded, w=195\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=79 Failed, w=195\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=86 Failed, w=195\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=90 Failed, w=195\",\"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)=92 Failed, w=195\",\"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)=92 Failed, w=195\",\"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)=97 Failed, w=195\",\"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)=99 Failed, w=195\"],\"Answer\":195}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,94],[0,3,34],[0,4,56],[1,2,4],[1,3,33],[1,4,19],[2,4,16],[3,4,25]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,94],[0,3,34],[0,4,56],[1,2,4],[1,3,33],[1,4,19],[2,4,16],[3,4,25]]}", "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\":[[0,2,94],[0,3,34],[0,4,56],[1,2,4],[1,3,33],[1,4,19],[2,4,16],[3,4,25]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (2,4)\",\"Add (3,4)\",\"Add (0,3)\"],\"Answer\":79}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,94],[0,3,34],[0,4,56],[1,2,4],[1,3,33],[1,4,19],[2,4,16],[3,4,25]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=4, w=4\",\"Add (2,4)=16, w=20\",\"Add (3,4)=25, w=45\",\"Add (0,3)=34, w=79\"],\"Answer\":79}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,94],[0,3,34],[0,4,56],[1,2,4],[1,3,33],[1,4,19],[2,4,16],[3,4,25]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=4 Succeeded, w=4\",\"Add (2,4)=16 Succeeded, w=20\",\"Add (1,4)=19 Failed, w=20\",\"Add (3,4)=25 Succeeded, w=45\",\"Add (1,3)=33 Failed, w=45\",\"Add (0,3)=34 Succeeded, w=79\",\"Add (0,4)=56 Failed, w=79\",\"Add (0,2)=94 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\":[[0,2,94],[0,3,34],[0,4,56],[1,2,4],[1,3,33],[1,4,19],[2,4,16],[3,4,25]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=4,(2,4)=16,(1,4)=19,(3,4)=25,(1,3)=33,(0,3)=34,(0,4)=56,(0,2)=94]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Find(2)=1, Find(4)=4, Add (2,4)=16 Succeeded, w=20\",\"Find(1)=1, Find(4)=1, Add (1,4)=19 Failed, w=20\",\"Find(3)=3, Find(4)=1, Add (3,4)=25 Succeeded, w=45\",\"Find(1)=1, Find(3)=1, Add (1,3)=33 Failed, w=45\",\"Find(0)=0, Find(3)=1, Add (0,3)=34 Succeeded, w=79\",\"Find(0)=1, Find(4)=1, Add (0,4)=56 Failed, w=79\",\"Find(0)=1, Find(2)=1, Add (0,2)=94 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\":[[0,2,94],[0,3,34],[0,4,56],[1,2,4],[1,3,33],[1,4,19],[2,4,16],[3,4,25]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=4,(2,4)=16,(1,4)=19,(3,4)=25,(1,3)=33,(0,3)=34,(0,4)=56,(0,2)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=16 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=19 Failed, w=20\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=3, Find(4)=1, Add (3,4)=25 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=33 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(3)=1, Add (0,3)=34 Succeeded, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=56 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=94 Failed, w=79\"],\"Answer\":79}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,21],[0,2,17],[0,3,66],[0,4,4],[0,5,79],[0,6,98],[1,3,64],[1,4,73],[1,5,97],[1,6,71],[2,3,33],[2,4,71],[2,5,81],[2,6,19],[3,4,2],[3,6,26],[4,5,97],[4,6,11],[5,6,25]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,17],[0,3,66],[0,4,4],[0,5,79],[0,6,98],[1,3,64],[1,4,73],[1,5,97],[1,6,71],[2,3,33],[2,4,71],[2,5,81],[2,6,19],[3,4,2],[3,6,26],[4,5,97],[4,6,11],[5,6,25]]}", "role": "user" }, { "content": "{\"Answer\":80}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,17],[0,3,66],[0,4,4],[0,5,79],[0,6,98],[1,3,64],[1,4,73],[1,5,97],[1,6,71],[2,3,33],[2,4,71],[2,5,81],[2,6,19],[3,4,2],[3,6,26],[4,5,97],[4,6,11],[5,6,25]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)\",\"Add (0,4)\",\"Add (4,6)\",\"Add (0,2)\",\"Add (0,1)\",\"Add (5,6)\"],\"Answer\":80}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,17],[0,3,66],[0,4,4],[0,5,79],[0,6,98],[1,3,64],[1,4,73],[1,5,97],[1,6,71],[2,3,33],[2,4,71],[2,5,81],[2,6,19],[3,4,2],[3,6,26],[4,5,97],[4,6,11],[5,6,25]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=2, w=2\",\"Add (0,4)=4, w=6\",\"Add (4,6)=11, w=17\",\"Add (0,2)=17, w=34\",\"Add (0,1)=21, w=55\",\"Add (5,6)=25, w=80\"],\"Answer\":80}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,17],[0,3,66],[0,4,4],[0,5,79],[0,6,98],[1,3,64],[1,4,73],[1,5,97],[1,6,71],[2,3,33],[2,4,71],[2,5,81],[2,6,19],[3,4,2],[3,6,26],[4,5,97],[4,6,11],[5,6,25]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=2 Succeeded, w=2\",\"Add (0,4)=4 Succeeded, w=6\",\"Add (4,6)=11 Succeeded, w=17\",\"Add (0,2)=17 Succeeded, w=34\",\"Add (2,6)=19 Failed, w=34\",\"Add (0,1)=21 Succeeded, w=55\",\"Add (5,6)=25 Succeeded, w=80\",\"Add (3,6)=26 Failed, w=80\",\"Add (2,3)=33 Failed, w=80\",\"Add (1,3)=64 Failed, w=80\",\"Add (0,3)=66 Failed, w=80\",\"Add (1,6)=71 Failed, w=80\",\"Add (2,4)=71 Failed, w=80\",\"Add (1,4)=73 Failed, w=80\",\"Add (0,5)=79 Failed, w=80\",\"Add (2,5)=81 Failed, w=80\",\"Add (1,5)=97 Failed, w=80\",\"Add (4,5)=97 Failed, w=80\",\"Add (0,6)=98 Failed, w=80\"],\"Answer\":80}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,17],[0,3,66],[0,4,4],[0,5,79],[0,6,98],[1,3,64],[1,4,73],[1,5,97],[1,6,71],[2,3,33],[2,4,71],[2,5,81],[2,6,19],[3,4,2],[3,6,26],[4,5,97],[4,6,11],[5,6,25]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=2,(0,4)=4,(4,6)=11,(0,2)=17,(2,6)=19,(0,1)=21,(5,6)=25,(3,6)=26,(2,3)=33,(1,3)=64,(0,3)=66,(1,6)=71,(2,4)=71,(1,4)=73,(0,5)=79,(2,5)=81,(1,5)=97,(4,5)=97,(0,6)=98]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(4)=3, Add (0,4)=4 Succeeded, w=6\",\"Find(4)=3, Find(6)=6, Add (4,6)=11 Succeeded, w=17\",\"Find(0)=3, Find(2)=2, Add (0,2)=17 Succeeded, w=34\",\"Find(2)=3, Find(6)=3, Add (2,6)=19 Failed, w=34\",\"Find(0)=3, Find(1)=1, Add (0,1)=21 Succeeded, w=55\",\"Find(5)=5, Find(6)=3, Add (5,6)=25 Succeeded, w=80\",\"Find(3)=3, Find(6)=3, Add (3,6)=26 Failed, w=80\",\"Find(2)=3, Find(3)=3, Add (2,3)=33 Failed, w=80\",\"Find(1)=3, Find(3)=3, Add (1,3)=64 Failed, w=80\",\"Find(0)=3, Find(3)=3, Add (0,3)=66 Failed, w=80\",\"Find(1)=3, Find(6)=3, Add (1,6)=71 Failed, w=80\",\"Find(2)=3, Find(4)=3, Add (2,4)=71 Failed, w=80\",\"Find(1)=3, Find(4)=3, Add (1,4)=73 Failed, w=80\",\"Find(0)=3, Find(5)=3, Add (0,5)=79 Failed, w=80\",\"Find(2)=3, Find(5)=3, Add (2,5)=81 Failed, w=80\",\"Find(1)=3, Find(5)=3, Add (1,5)=97 Failed, w=80\",\"Find(4)=3, Find(5)=3, Add (4,5)=97 Failed, w=80\",\"Find(0)=3, Find(6)=3, Add (0,6)=98 Failed, w=80\"],\"Answer\":80}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,17],[0,3,66],[0,4,4],[0,5,79],[0,6,98],[1,3,64],[1,4,73],[1,5,97],[1,6,71],[2,3,33],[2,4,71],[2,5,81],[2,6,19],[3,4,2],[3,6,26],[4,5,97],[4,6,11],[5,6,25]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=2,(0,4)=4,(4,6)=11,(0,2)=17,(2,6)=19,(0,1)=21,(5,6)=25,(3,6)=26,(2,3)=33,(1,3)=64,(0,3)=66,(1,6)=71,(2,4)=71,(1,4)=73,(0,5)=79,(2,5)=81,(1,5)=97,(4,5)=97,(0,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(0)=0, Find(4)=3, Add (0,4)=4 Succeeded, w=6\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3}, Find(4)=3, Find(6)=6, Add (4,6)=11 Succeeded, w=17\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3}, Find(0)=3, Find(2)=2, Add (0,2)=17 Succeeded, w=34\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=19 Failed, w=34\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3}, Find(0)=3, Find(1)=1, Add (0,1)=21 Succeeded, w=55\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=5, Find(6)=3, Add (5,6)=25 Succeeded, w=80\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(6)=3, Add (3,6)=26 Failed, w=80\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=33 Failed, w=80\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=64 Failed, w=80\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=66 Failed, w=80\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=71 Failed, w=80\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=71 Failed, w=80\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=73 Failed, w=80\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=79 Failed, w=80\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=81 Failed, w=80\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=97 Failed, w=80\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=97 Failed, w=80\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(6)=3, Add (0,6)=98 Failed, w=80\"],\"Answer\":80}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,77],[0,2,6],[0,3,11],[1,2,72],[2,3,15]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,6],[0,3,11],[1,2,72],[2,3,15]]}", "role": "user" }, { "content": "{\"Answer\":89}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,6],[0,3,11],[1,2,72],[2,3,15]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":89}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,6],[0,3,11],[1,2,72],[2,3,15]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=6, w=6\",\"Add (0,3)=11, w=17\",\"Add (1,2)=72, w=89\"],\"Answer\":89}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,6],[0,3,11],[1,2,72],[2,3,15]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=6 Succeeded, w=6\",\"Add (0,3)=11 Succeeded, w=17\",\"Add (2,3)=15 Failed, w=17\",\"Add (1,2)=72 Succeeded, w=89\",\"Add (0,1)=77 Failed, w=89\"],\"Answer\":89}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,6],[0,3,11],[1,2,72],[2,3,15]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=6,(0,3)=11,(2,3)=15,(1,2)=72,(0,1)=77]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=17\",\"Find(2)=0, Find(3)=0, Add (2,3)=15 Failed, w=17\",\"Find(1)=1, Find(2)=0, Add (1,2)=72 Succeeded, w=89\",\"Find(0)=0, Find(1)=0, Add (0,1)=77 Failed, w=89\"],\"Answer\":89}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,6],[0,3,11],[1,2,72],[2,3,15]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=6,(0,3)=11,(2,3)=15,(1,2)=72,(0,1)=77]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=15 Failed, w=17\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=72 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=77 Failed, w=89\"],\"Answer\":89}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,37],[0,2,36],[0,3,25],[1,4,29],[1,5,6],[1,6,59],[1,7,99],[2,3,54],[2,5,69],[2,7,43],[3,4,15],[3,6,80],[4,6,18],[4,7,32],[5,6,46],[5,7,12],[6,7,65]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,36],[0,3,25],[1,4,29],[1,5,6],[1,6,59],[1,7,99],[2,3,54],[2,5,69],[2,7,43],[3,4,15],[3,6,80],[4,6,18],[4,7,32],[5,6,46],[5,7,12],[6,7,65]]}", "role": "user" }, { "content": "{\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,36],[0,3,25],[1,4,29],[1,5,6],[1,6,59],[1,7,99],[2,3,54],[2,5,69],[2,7,43],[3,4,15],[3,6,80],[4,6,18],[4,7,32],[5,6,46],[5,7,12],[6,7,65]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)\",\"Add (5,7)\",\"Add (3,4)\",\"Add (4,6)\",\"Add (0,3)\",\"Add (1,4)\",\"Add (0,2)\"],\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,36],[0,3,25],[1,4,29],[1,5,6],[1,6,59],[1,7,99],[2,3,54],[2,5,69],[2,7,43],[3,4,15],[3,6,80],[4,6,18],[4,7,32],[5,6,46],[5,7,12],[6,7,65]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)=6, w=6\",\"Add (5,7)=12, w=18\",\"Add (3,4)=15, w=33\",\"Add (4,6)=18, w=51\",\"Add (0,3)=25, w=76\",\"Add (1,4)=29, w=105\",\"Add (0,2)=36, w=141\"],\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,36],[0,3,25],[1,4,29],[1,5,6],[1,6,59],[1,7,99],[2,3,54],[2,5,69],[2,7,43],[3,4,15],[3,6,80],[4,6,18],[4,7,32],[5,6,46],[5,7,12],[6,7,65]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)=6 Succeeded, w=6\",\"Add (5,7)=12 Succeeded, w=18\",\"Add (3,4)=15 Succeeded, w=33\",\"Add (4,6)=18 Succeeded, w=51\",\"Add (0,3)=25 Succeeded, w=76\",\"Add (1,4)=29 Succeeded, w=105\",\"Add (4,7)=32 Failed, w=105\",\"Add (0,2)=36 Succeeded, w=141\",\"Add (0,1)=37 Failed, w=141\",\"Add (2,7)=43 Failed, w=141\",\"Add (5,6)=46 Failed, w=141\",\"Add (2,3)=54 Failed, w=141\",\"Add (1,6)=59 Failed, w=141\",\"Add (6,7)=65 Failed, w=141\",\"Add (2,5)=69 Failed, w=141\",\"Add (3,6)=80 Failed, w=141\",\"Add (1,7)=99 Failed, w=141\"],\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,36],[0,3,25],[1,4,29],[1,5,6],[1,6,59],[1,7,99],[2,3,54],[2,5,69],[2,7,43],[3,4,15],[3,6,80],[4,6,18],[4,7,32],[5,6,46],[5,7,12],[6,7,65]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,5)=6,(5,7)=12,(3,4)=15,(4,6)=18,(0,3)=25,(1,4)=29,(4,7)=32,(0,2)=36,(0,1)=37,(2,7)=43,(5,6)=46,(2,3)=54,(1,6)=59,(6,7)=65,(2,5)=69,(3,6)=80,(1,7)=99]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=6 Succeeded, w=6\",\"Find(5)=1, Find(7)=7, Add (5,7)=12 Succeeded, w=18\",\"Find(3)=3, Find(4)=4, Add (3,4)=15 Succeeded, w=33\",\"Find(4)=3, Find(6)=6, Add (4,6)=18 Succeeded, w=51\",\"Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=76\",\"Find(1)=1, Find(4)=3, Add (1,4)=29 Succeeded, w=105\",\"Find(4)=1, Find(7)=1, Add (4,7)=32 Failed, w=105\",\"Find(0)=1, Find(2)=2, Add (0,2)=36 Succeeded, w=141\",\"Find(0)=1, Find(1)=1, Add (0,1)=37 Failed, w=141\",\"Find(2)=1, Find(7)=1, Add (2,7)=43 Failed, w=141\",\"Find(5)=1, Find(6)=1, Add (5,6)=46 Failed, w=141\",\"Find(2)=1, Find(3)=1, Add (2,3)=54 Failed, w=141\",\"Find(1)=1, Find(6)=1, Add (1,6)=59 Failed, w=141\",\"Find(6)=1, Find(7)=1, Add (6,7)=65 Failed, w=141\",\"Find(2)=1, Find(5)=1, Add (2,5)=69 Failed, w=141\",\"Find(3)=1, Find(6)=1, Add (3,6)=80 Failed, w=141\",\"Find(1)=1, Find(7)=1, Add (1,7)=99 Failed, w=141\"],\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,36],[0,3,25],[1,4,29],[1,5,6],[1,6,59],[1,7,99],[2,3,54],[2,5,69],[2,7,43],[3,4,15],[3,6,80],[4,6,18],[4,7,32],[5,6,46],[5,7,12],[6,7,65]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,5)=6,(5,7)=12,(3,4)=15,(4,6)=18,(0,3)=25,(1,4)=29,(4,7)=32,(0,2)=36,(0,1)=37,(2,7)=43,(5,6)=46,(2,3)=54,(1,6)=59,(6,7)=65,(2,5)=69,(3,6)=80,(1,7)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 1}, Find(5)=1, Find(7)=7, Add (5,7)=12 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1, 6: 6, 7: 1}, Find(3)=3, Find(4)=4, Add (3,4)=15 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1, 6: 3, 7: 1}, Find(4)=3, Find(6)=6, Add (4,6)=18 Succeeded, w=51\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1, 6: 3, 7: 1}, Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=76\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 1, 4: 3, 5: 1, 6: 3, 7: 1}, Find(1)=1, Find(4)=3, Add (1,4)=29 Succeeded, w=105\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 3, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=32 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 1}, Find(0)=1, Find(2)=2, Add (0,2)=36 Succeeded, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=37 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=43 Failed, w=141\",\"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)=46 Failed, w=141\",\"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)=54 Failed, w=141\",\"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=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=65 Failed, w=141\",\"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)=69 Failed, w=141\",\"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)=80 Failed, w=141\",\"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)=99 Failed, w=141\"],\"Answer\":141}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,55],[0,3,92],[0,4,39],[1,2,40],[1,3,83],[1,4,85],[2,3,89],[2,4,32],[3,4,25]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,55],[0,3,92],[0,4,39],[1,2,40],[1,3,83],[1,4,85],[2,3,89],[2,4,32],[3,4,25]]}", "role": "user" }, { "content": "{\"Answer\":136}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,55],[0,3,92],[0,4,39],[1,2,40],[1,3,83],[1,4,85],[2,3,89],[2,4,32],[3,4,25]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)\",\"Add (2,4)\",\"Add (0,4)\",\"Add (1,2)\"],\"Answer\":136}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,55],[0,3,92],[0,4,39],[1,2,40],[1,3,83],[1,4,85],[2,3,89],[2,4,32],[3,4,25]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=25, w=25\",\"Add (2,4)=32, w=57\",\"Add (0,4)=39, w=96\",\"Add (1,2)=40, w=136\"],\"Answer\":136}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,55],[0,3,92],[0,4,39],[1,2,40],[1,3,83],[1,4,85],[2,3,89],[2,4,32],[3,4,25]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=25 Succeeded, w=25\",\"Add (2,4)=32 Succeeded, w=57\",\"Add (0,4)=39 Succeeded, w=96\",\"Add (1,2)=40 Succeeded, w=136\",\"Add (0,2)=55 Failed, w=136\",\"Add (1,3)=83 Failed, w=136\",\"Add (1,4)=85 Failed, w=136\",\"Add (2,3)=89 Failed, w=136\",\"Add (0,3)=92 Failed, w=136\"],\"Answer\":136}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,55],[0,3,92],[0,4,39],[1,2,40],[1,3,83],[1,4,85],[2,3,89],[2,4,32],[3,4,25]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=25,(2,4)=32,(0,4)=39,(1,2)=40,(0,2)=55,(1,3)=83,(1,4)=85,(2,3)=89,(0,3)=92]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=25 Succeeded, w=25\",\"Find(2)=2, Find(4)=3, Add (2,4)=32 Succeeded, w=57\",\"Find(0)=0, Find(4)=3, Add (0,4)=39 Succeeded, w=96\",\"Find(1)=1, Find(2)=3, Add (1,2)=40 Succeeded, w=136\",\"Find(0)=3, Find(2)=3, Add (0,2)=55 Failed, w=136\",\"Find(1)=3, Find(3)=3, Add (1,3)=83 Failed, w=136\",\"Find(1)=3, Find(4)=3, Add (1,4)=85 Failed, w=136\",\"Find(2)=3, Find(3)=3, Add (2,3)=89 Failed, w=136\",\"Find(0)=3, Find(3)=3, Add (0,3)=92 Failed, w=136\"],\"Answer\":136}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,55],[0,3,92],[0,4,39],[1,2,40],[1,3,83],[1,4,85],[2,3,89],[2,4,32],[3,4,25]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=25,(2,4)=32,(0,4)=39,(1,2)=40,(0,2)=55,(1,3)=83,(1,4)=85,(2,3)=89,(0,3)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=25 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(4)=3, Add (2,4)=32 Succeeded, w=57\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=39 Succeeded, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=1, Find(2)=3, Add (1,2)=40 Succeeded, w=136\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(2)=3, Add (0,2)=55 Failed, w=136\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(3)=3, Add (1,3)=83 Failed, w=136\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(4)=3, Add (1,4)=85 Failed, w=136\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(3)=3, Add (2,3)=89 Failed, w=136\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(3)=3, Add (0,3)=92 Failed, w=136\"],\"Answer\":136}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,58],[0,2,40],[0,3,86],[0,4,72],[0,5,100],[0,6,54],[0,7,90],[1,3,8],[1,4,74],[1,7,34],[2,3,6],[2,5,79],[2,6,13],[2,7,37],[3,4,68],[3,5,68],[3,6,90],[3,7,50],[4,5,11],[4,6,77],[4,7,13],[5,6,5],[5,7,87],[6,7,72]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,40],[0,3,86],[0,4,72],[0,5,100],[0,6,54],[0,7,90],[1,3,8],[1,4,74],[1,7,34],[2,3,6],[2,5,79],[2,6,13],[2,7,37],[3,4,68],[3,5,68],[3,6,90],[3,7,50],[4,5,11],[4,6,77],[4,7,13],[5,6,5],[5,7,87],[6,7,72]]}", "role": "user" }, { "content": "{\"Answer\":96}", "role": "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],[0,2,40],[0,3,86],[0,4,72],[0,5,100],[0,6,54],[0,7,90],[1,3,8],[1,4,74],[1,7,34],[2,3,6],[2,5,79],[2,6,13],[2,7,37],[3,4,68],[3,5,68],[3,6,90],[3,7,50],[4,5,11],[4,6,77],[4,7,13],[5,6,5],[5,7,87],[6,7,72]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)\",\"Add (2,3)\",\"Add (1,3)\",\"Add (4,5)\",\"Add (2,6)\",\"Add (4,7)\",\"Add (0,2)\"],\"Answer\":96}", "role": "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],[0,2,40],[0,3,86],[0,4,72],[0,5,100],[0,6,54],[0,7,90],[1,3,8],[1,4,74],[1,7,34],[2,3,6],[2,5,79],[2,6,13],[2,7,37],[3,4,68],[3,5,68],[3,6,90],[3,7,50],[4,5,11],[4,6,77],[4,7,13],[5,6,5],[5,7,87],[6,7,72]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)=5, w=5\",\"Add (2,3)=6, w=11\",\"Add (1,3)=8, w=19\",\"Add (4,5)=11, w=30\",\"Add (2,6)=13, w=43\",\"Add (4,7)=13, w=56\",\"Add (0,2)=40, w=96\"],\"Answer\":96}", "role": "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],[0,2,40],[0,3,86],[0,4,72],[0,5,100],[0,6,54],[0,7,90],[1,3,8],[1,4,74],[1,7,34],[2,3,6],[2,5,79],[2,6,13],[2,7,37],[3,4,68],[3,5,68],[3,6,90],[3,7,50],[4,5,11],[4,6,77],[4,7,13],[5,6,5],[5,7,87],[6,7,72]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)=5 Succeeded, w=5\",\"Add (2,3)=6 Succeeded, w=11\",\"Add (1,3)=8 Succeeded, w=19\",\"Add (4,5)=11 Succeeded, w=30\",\"Add (2,6)=13 Succeeded, w=43\",\"Add (4,7)=13 Succeeded, w=56\",\"Add (1,7)=34 Failed, w=56\",\"Add (2,7)=37 Failed, w=56\",\"Add (0,2)=40 Succeeded, w=96\",\"Add (3,7)=50 Failed, w=96\",\"Add (0,6)=54 Failed, w=96\",\"Add (0,1)=58 Failed, w=96\",\"Add (3,4)=68 Failed, w=96\",\"Add (3,5)=68 Failed, w=96\",\"Add (0,4)=72 Failed, w=96\",\"Add (6,7)=72 Failed, w=96\",\"Add (1,4)=74 Failed, w=96\",\"Add (4,6)=77 Failed, w=96\",\"Add (2,5)=79 Failed, w=96\",\"Add (0,3)=86 Failed, w=96\",\"Add (5,7)=87 Failed, w=96\",\"Add (0,7)=90 Failed, w=96\",\"Add (3,6)=90 Failed, w=96\",\"Add (0,5)=100 Failed, w=96\"],\"Answer\":96}", "role": "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],[0,2,40],[0,3,86],[0,4,72],[0,5,100],[0,6,54],[0,7,90],[1,3,8],[1,4,74],[1,7,34],[2,3,6],[2,5,79],[2,6,13],[2,7,37],[3,4,68],[3,5,68],[3,6,90],[3,7,50],[4,5,11],[4,6,77],[4,7,13],[5,6,5],[5,7,87],[6,7,72]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(5,6)=5,(2,3)=6,(1,3)=8,(4,5)=11,(2,6)=13,(4,7)=13,(1,7)=34,(2,7)=37,(0,2)=40,(3,7)=50,(0,6)=54,(0,1)=58,(3,4)=68,(3,5)=68,(0,4)=72,(6,7)=72,(1,4)=74,(4,6)=77,(2,5)=79,(0,3)=86,(5,7)=87,(0,7)=90,(3,6)=90,(0,5)=100]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=5 Succeeded, w=5\",\"Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=11\",\"Find(1)=1, Find(3)=2, Add (1,3)=8 Succeeded, w=19\",\"Find(4)=4, Find(5)=5, Add (4,5)=11 Succeeded, w=30\",\"Find(2)=2, Find(6)=5, Add (2,6)=13 Succeeded, w=43\",\"Find(4)=2, Find(7)=7, Add (4,7)=13 Succeeded, w=56\",\"Find(1)=2, Find(7)=2, Add (1,7)=34 Failed, w=56\",\"Find(2)=2, Find(7)=2, Add (2,7)=37 Failed, w=56\",\"Find(0)=0, Find(2)=2, Add (0,2)=40 Succeeded, w=96\",\"Find(3)=2, Find(7)=2, Add (3,7)=50 Failed, w=96\",\"Find(0)=2, Find(6)=2, Add (0,6)=54 Failed, w=96\",\"Find(0)=2, Find(1)=2, Add (0,1)=58 Failed, w=96\",\"Find(3)=2, Find(4)=2, Add (3,4)=68 Failed, w=96\",\"Find(3)=2, Find(5)=2, Add (3,5)=68 Failed, w=96\",\"Find(0)=2, Find(4)=2, Add (0,4)=72 Failed, w=96\",\"Find(6)=2, Find(7)=2, Add (6,7)=72 Failed, w=96\",\"Find(1)=2, Find(4)=2, Add (1,4)=74 Failed, w=96\",\"Find(4)=2, Find(6)=2, Add (4,6)=77 Failed, w=96\",\"Find(2)=2, Find(5)=2, Add (2,5)=79 Failed, w=96\",\"Find(0)=2, Find(3)=2, Add (0,3)=86 Failed, w=96\",\"Find(5)=2, Find(7)=2, Add (5,7)=87 Failed, w=96\",\"Find(0)=2, Find(7)=2, Add (0,7)=90 Failed, w=96\",\"Find(3)=2, Find(6)=2, Add (3,6)=90 Failed, w=96\",\"Find(0)=2, Find(5)=2, Add (0,5)=100 Failed, w=96\"],\"Answer\":96}", "role": "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],[0,2,40],[0,3,86],[0,4,72],[0,5,100],[0,6,54],[0,7,90],[1,3,8],[1,4,74],[1,7,34],[2,3,6],[2,5,79],[2,6,13],[2,7,37],[3,4,68],[3,5,68],[3,6,90],[3,7,50],[4,5,11],[4,6,77],[4,7,13],[5,6,5],[5,7,87],[6,7,72]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(5,6)=5,(2,3)=6,(1,3)=8,(4,5)=11,(2,6)=13,(4,7)=13,(1,7)=34,(2,7)=37,(0,2)=40,(3,7)=50,(0,6)=54,(0,1)=58,(3,4)=68,(3,5)=68,(0,4)=72,(6,7)=72,(1,4)=74,(4,6)=77,(2,5)=79,(0,3)=86,(5,7)=87,(0,7)=90,(3,6)=90,(0,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 5, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 5, 7: 7}, Find(1)=1, Find(3)=2, Add (1,3)=8 Succeeded, w=19\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 5, 5: 5, 6: 5, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=11 Succeeded, w=30\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 5, 5: 2, 6: 5, 7: 7}, Find(2)=2, Find(6)=5, Add (2,6)=13 Succeeded, w=43\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5, 7: 2}, Find(4)=2, Find(7)=7, Add (4,7)=13 Succeeded, w=56\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=34 Failed, w=56\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=37 Failed, w=56\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5, 7: 2}, Find(0)=0, Find(2)=2, Add (0,2)=40 Succeeded, w=96\",\"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)=50 Failed, w=96\",\"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)=54 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=58 Failed, w=96\",\"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)=68 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=68 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=72 Failed, w=96\",\"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)=72 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=74 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=77 Failed, w=96\",\"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)=79 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=86 Failed, w=96\",\"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)=87 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=90 Failed, w=96\",\"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)=90 Failed, w=96\",\"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)=100 Failed, w=96\"],\"Answer\":96}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,79],[1,3,22]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[1,3,22]]}", "role": "user" }, { "content": "{\"Answer\":101}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[1,3,22]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":101}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[1,3,22]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=22, w=22\",\"Add (0,2)=79, w=101\"],\"Answer\":101}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[1,3,22]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=22 Succeeded, w=22\",\"Add (0,2)=79 Succeeded, w=101\"],\"Answer\":101}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[1,3,22]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=22,(0,2)=79]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=22 Succeeded, w=22\",\"Find(0)=0, Find(2)=2, Add (0,2)=79 Succeeded, w=101\"],\"Answer\":101}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[1,3,22]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=22,(0,2)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(0)=0, Find(2)=2, Add (0,2)=79 Succeeded, w=101\"],\"Answer\":101}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,35],[0,2,65],[0,3,12],[0,4,2],[1,2,81],[1,3,87],[1,4,49],[2,3,1],[2,4,20],[3,4,43]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,65],[0,3,12],[0,4,2],[1,2,81],[1,3,87],[1,4,49],[2,3,1],[2,4,20],[3,4,43]]}", "role": "user" }, { "content": "{\"Answer\":50}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,65],[0,3,12],[0,4,2],[1,2,81],[1,3,87],[1,4,49],[2,3,1],[2,4,20],[3,4,43]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (0,4)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":50}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,65],[0,3,12],[0,4,2],[1,2,81],[1,3,87],[1,4,49],[2,3,1],[2,4,20],[3,4,43]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (0,4)=2, w=3\",\"Add (0,3)=12, w=15\",\"Add (0,1)=35, w=50\"],\"Answer\":50}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,65],[0,3,12],[0,4,2],[1,2,81],[1,3,87],[1,4,49],[2,3,1],[2,4,20],[3,4,43]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (0,4)=2 Succeeded, w=3\",\"Add (0,3)=12 Succeeded, w=15\",\"Add (2,4)=20 Failed, w=15\",\"Add (0,1)=35 Succeeded, w=50\",\"Add (3,4)=43 Failed, w=50\",\"Add (1,4)=49 Failed, w=50\",\"Add (0,2)=65 Failed, w=50\",\"Add (1,2)=81 Failed, w=50\",\"Add (1,3)=87 Failed, w=50\"],\"Answer\":50}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,65],[0,3,12],[0,4,2],[1,2,81],[1,3,87],[1,4,49],[2,3,1],[2,4,20],[3,4,43]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=1,(0,4)=2,(0,3)=12,(2,4)=20,(0,1)=35,(3,4)=43,(1,4)=49,(0,2)=65,(1,2)=81,(1,3)=87]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=3\",\"Find(0)=0, Find(3)=2, Add (0,3)=12 Succeeded, w=15\",\"Find(2)=0, Find(4)=0, Add (2,4)=20 Failed, w=15\",\"Find(0)=0, Find(1)=1, Add (0,1)=35 Succeeded, w=50\",\"Find(3)=0, Find(4)=0, Add (3,4)=43 Failed, w=50\",\"Find(1)=0, Find(4)=0, Add (1,4)=49 Failed, w=50\",\"Find(0)=0, Find(2)=0, Add (0,2)=65 Failed, w=50\",\"Find(1)=0, Find(2)=0, Add (1,2)=81 Failed, w=50\",\"Find(1)=0, Find(3)=0, Add (1,3)=87 Failed, w=50\"],\"Answer\":50}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,65],[0,3,12],[0,4,2],[1,2,81],[1,3,87],[1,4,49],[2,3,1],[2,4,20],[3,4,43]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=1,(0,4)=2,(0,3)=12,(2,4)=20,(0,1)=35,(3,4)=43,(1,4)=49,(0,2)=65,(1,2)=81,(1,3)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(3)=2, Add (0,3)=12 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=20 Failed, w=15\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=35 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=43 Failed, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=49 Failed, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=65 Failed, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=81 Failed, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=87 Failed, w=50\"],\"Answer\":50}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,83],[0,2,83],[0,3,83],[0,6,44],[0,7,4],[1,2,96],[1,3,1],[1,4,71],[1,5,50],[1,6,9],[1,7,40],[2,3,2],[2,4,7],[2,5,3],[2,6,14],[3,4,31],[3,5,42],[3,6,59],[3,7,14],[4,5,98],[4,6,11],[5,6,100],[5,7,71],[6,7,25]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,83],[0,3,83],[0,6,44],[0,7,4],[1,2,96],[1,3,1],[1,4,71],[1,5,50],[1,6,9],[1,7,40],[2,3,2],[2,4,7],[2,5,3],[2,6,14],[3,4,31],[3,5,42],[3,6,59],[3,7,14],[4,5,98],[4,6,11],[5,6,100],[5,7,71],[6,7,25]]}", "role": "user" }, { "content": "{\"Answer\":40}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,83],[0,3,83],[0,6,44],[0,7,4],[1,2,96],[1,3,1],[1,4,71],[1,5,50],[1,6,9],[1,7,40],[2,3,2],[2,4,7],[2,5,3],[2,6,14],[3,4,31],[3,5,42],[3,6,59],[3,7,14],[4,5,98],[4,6,11],[5,6,100],[5,7,71],[6,7,25]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (2,5)\",\"Add (0,7)\",\"Add (2,4)\",\"Add (1,6)\",\"Add (3,7)\"],\"Answer\":40}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,83],[0,3,83],[0,6,44],[0,7,4],[1,2,96],[1,3,1],[1,4,71],[1,5,50],[1,6,9],[1,7,40],[2,3,2],[2,4,7],[2,5,3],[2,6,14],[3,4,31],[3,5,42],[3,6,59],[3,7,14],[4,5,98],[4,6,11],[5,6,100],[5,7,71],[6,7,25]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=1, w=1\",\"Add (2,3)=2, w=3\",\"Add (2,5)=3, w=6\",\"Add (0,7)=4, w=10\",\"Add (2,4)=7, w=17\",\"Add (1,6)=9, w=26\",\"Add (3,7)=14, w=40\"],\"Answer\":40}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,83],[0,3,83],[0,6,44],[0,7,4],[1,2,96],[1,3,1],[1,4,71],[1,5,50],[1,6,9],[1,7,40],[2,3,2],[2,4,7],[2,5,3],[2,6,14],[3,4,31],[3,5,42],[3,6,59],[3,7,14],[4,5,98],[4,6,11],[5,6,100],[5,7,71],[6,7,25]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=1 Succeeded, w=1\",\"Add (2,3)=2 Succeeded, w=3\",\"Add (2,5)=3 Succeeded, w=6\",\"Add (0,7)=4 Succeeded, w=10\",\"Add (2,4)=7 Succeeded, w=17\",\"Add (1,6)=9 Succeeded, w=26\",\"Add (4,6)=11 Failed, w=26\",\"Add (2,6)=14 Failed, w=26\",\"Add (3,7)=14 Succeeded, w=40\",\"Add (6,7)=25 Failed, w=40\",\"Add (3,4)=31 Failed, w=40\",\"Add (1,7)=40 Failed, w=40\",\"Add (3,5)=42 Failed, w=40\",\"Add (0,6)=44 Failed, w=40\",\"Add (1,5)=50 Failed, w=40\",\"Add (3,6)=59 Failed, w=40\",\"Add (1,4)=71 Failed, w=40\",\"Add (5,7)=71 Failed, w=40\",\"Add (0,1)=83 Failed, w=40\",\"Add (0,2)=83 Failed, w=40\",\"Add (0,3)=83 Failed, w=40\",\"Add (1,2)=96 Failed, w=40\",\"Add (4,5)=98 Failed, w=40\",\"Add (5,6)=100 Failed, w=40\"],\"Answer\":40}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,83],[0,3,83],[0,6,44],[0,7,4],[1,2,96],[1,3,1],[1,4,71],[1,5,50],[1,6,9],[1,7,40],[2,3,2],[2,4,7],[2,5,3],[2,6,14],[3,4,31],[3,5,42],[3,6,59],[3,7,14],[4,5,98],[4,6,11],[5,6,100],[5,7,71],[6,7,25]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=1,(2,3)=2,(2,5)=3,(0,7)=4,(2,4)=7,(1,6)=9,(4,6)=11,(2,6)=14,(3,7)=14,(6,7)=25,(3,4)=31,(1,7)=40,(3,5)=42,(0,6)=44,(1,5)=50,(3,6)=59,(1,4)=71,(5,7)=71,(0,1)=83,(0,2)=83,(0,3)=83,(1,2)=96,(4,5)=98,(5,6)=100]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(2)=2, Find(3)=1, Add (2,3)=2 Succeeded, w=3\",\"Find(2)=1, Find(5)=5, Add (2,5)=3 Succeeded, w=6\",\"Find(0)=0, Find(7)=7, Add (0,7)=4 Succeeded, w=10\",\"Find(2)=1, Find(4)=4, Add (2,4)=7 Succeeded, w=17\",\"Find(1)=1, Find(6)=6, Add (1,6)=9 Succeeded, w=26\",\"Find(4)=1, Find(6)=1, Add (4,6)=11 Failed, w=26\",\"Find(2)=1, Find(6)=1, Add (2,6)=14 Failed, w=26\",\"Find(3)=1, Find(7)=0, Add (3,7)=14 Succeeded, w=40\",\"Find(6)=1, Find(7)=1, Add (6,7)=25 Failed, w=40\",\"Find(3)=1, Find(4)=1, Add (3,4)=31 Failed, w=40\",\"Find(1)=1, Find(7)=1, Add (1,7)=40 Failed, w=40\",\"Find(3)=1, Find(5)=1, Add (3,5)=42 Failed, w=40\",\"Find(0)=1, Find(6)=1, Add (0,6)=44 Failed, w=40\",\"Find(1)=1, Find(5)=1, Add (1,5)=50 Failed, w=40\",\"Find(3)=1, Find(6)=1, Add (3,6)=59 Failed, w=40\",\"Find(1)=1, Find(4)=1, Add (1,4)=71 Failed, w=40\",\"Find(5)=1, Find(7)=1, Add (5,7)=71 Failed, w=40\",\"Find(0)=1, Find(1)=1, Add (0,1)=83 Failed, w=40\",\"Find(0)=1, Find(2)=1, Add (0,2)=83 Failed, w=40\",\"Find(0)=1, Find(3)=1, Add (0,3)=83 Failed, w=40\",\"Find(1)=1, Find(2)=1, Add (1,2)=96 Failed, w=40\",\"Find(4)=1, Find(5)=1, Add (4,5)=98 Failed, w=40\",\"Find(5)=1, Find(6)=1, Add (5,6)=100 Failed, w=40\"],\"Answer\":40}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,83],[0,3,83],[0,6,44],[0,7,4],[1,2,96],[1,3,1],[1,4,71],[1,5,50],[1,6,9],[1,7,40],[2,3,2],[2,4,7],[2,5,3],[2,6,14],[3,4,31],[3,5,42],[3,6,59],[3,7,14],[4,5,98],[4,6,11],[5,6,100],[5,7,71],[6,7,25]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=1,(2,3)=2,(2,5)=3,(0,7)=4,(2,4)=7,(1,6)=9,(4,6)=11,(2,6)=14,(3,7)=14,(6,7)=25,(3,4)=31,(1,7)=40,(3,5)=42,(0,6)=44,(1,5)=50,(3,6)=59,(1,4)=71,(5,7)=71,(0,1)=83,(0,2)=83,(0,3)=83,(1,2)=96,(4,5)=98,(5,6)=100]\",\"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)=1 Succeeded, w=1\",\"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)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 7}, Find(2)=1, Find(5)=5, Add (2,5)=3 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=4 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 0}, Find(2)=1, Find(4)=4, Add (2,4)=7 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(1)=1, Find(6)=6, Add (1,6)=9 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(4)=1, Find(6)=1, Add (4,6)=11 Failed, w=26\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(2)=1, Find(6)=1, Add (2,6)=14 Failed, w=26\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(3)=1, Find(7)=0, Add (3,7)=14 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=25 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=31 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=40 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=42 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=44 Failed, w=40\",\"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)=50 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=59 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=71 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=71 Failed, w=40\",\"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)=83 Failed, w=40\",\"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)=83 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=83 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=96 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=98 Failed, w=40\",\"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)=100 Failed, w=40\"],\"Answer\":40}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,48],[0,2,81],[0,3,71],[0,4,56],[0,5,11],[1,2,0],[1,3,15],[1,5,52],[2,3,42],[2,5,43],[3,4,52],[3,5,63],[4,5,65]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,81],[0,3,71],[0,4,56],[0,5,11],[1,2,0],[1,3,15],[1,5,52],[2,3,42],[2,5,43],[3,4,52],[3,5,63],[4,5,65]]}", "role": "user" }, { "content": "{\"Answer\":121}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,81],[0,3,71],[0,4,56],[0,5,11],[1,2,0],[1,3,15],[1,5,52],[2,3,42],[2,5,43],[3,4,52],[3,5,63],[4,5,65]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (0,5)\",\"Add (1,3)\",\"Add (2,5)\",\"Add (3,4)\"],\"Answer\":121}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,81],[0,3,71],[0,4,56],[0,5,11],[1,2,0],[1,3,15],[1,5,52],[2,3,42],[2,5,43],[3,4,52],[3,5,63],[4,5,65]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (0,5)=11, w=11\",\"Add (1,3)=15, w=26\",\"Add (2,5)=43, w=69\",\"Add (3,4)=52, w=121\"],\"Answer\":121}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,81],[0,3,71],[0,4,56],[0,5,11],[1,2,0],[1,3,15],[1,5,52],[2,3,42],[2,5,43],[3,4,52],[3,5,63],[4,5,65]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (0,5)=11 Succeeded, w=11\",\"Add (1,3)=15 Succeeded, w=26\",\"Add (2,3)=42 Failed, w=26\",\"Add (2,5)=43 Succeeded, w=69\",\"Add (0,1)=48 Failed, w=69\",\"Add (1,5)=52 Failed, w=69\",\"Add (3,4)=52 Succeeded, w=121\",\"Add (0,4)=56 Failed, w=121\",\"Add (3,5)=63 Failed, w=121\",\"Add (4,5)=65 Failed, w=121\",\"Add (0,3)=71 Failed, w=121\",\"Add (0,2)=81 Failed, w=121\"],\"Answer\":121}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,81],[0,3,71],[0,4,56],[0,5,11],[1,2,0],[1,3,15],[1,5,52],[2,3,42],[2,5,43],[3,4,52],[3,5,63],[4,5,65]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=0,(0,5)=11,(1,3)=15,(2,3)=42,(2,5)=43,(0,1)=48,(1,5)=52,(3,4)=52,(0,4)=56,(3,5)=63,(4,5)=65,(0,3)=71,(0,2)=81]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(0)=0, Find(5)=5, Add (0,5)=11 Succeeded, w=11\",\"Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=26\",\"Find(2)=1, Find(3)=1, Add (2,3)=42 Failed, w=26\",\"Find(2)=1, Find(5)=0, Add (2,5)=43 Succeeded, w=69\",\"Find(0)=1, Find(1)=1, Add (0,1)=48 Failed, w=69\",\"Find(1)=1, Find(5)=1, Add (1,5)=52 Failed, w=69\",\"Find(3)=1, Find(4)=4, Add (3,4)=52 Succeeded, w=121\",\"Find(0)=1, Find(4)=1, Add (0,4)=56 Failed, w=121\",\"Find(3)=1, Find(5)=1, Add (3,5)=63 Failed, w=121\",\"Find(4)=1, Find(5)=1, Add (4,5)=65 Failed, w=121\",\"Find(0)=1, Find(3)=1, Add (0,3)=71 Failed, w=121\",\"Find(0)=1, Find(2)=1, Add (0,2)=81 Failed, w=121\"],\"Answer\":121}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,81],[0,3,71],[0,4,56],[0,5,11],[1,2,0],[1,3,15],[1,5,52],[2,3,42],[2,5,43],[3,4,52],[3,5,63],[4,5,65]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=0,(0,5)=11,(1,3)=15,(2,3)=42,(2,5)=43,(0,1)=48,(1,5)=52,(3,4)=52,(0,4)=56,(3,5)=63,(4,5)=65,(0,3)=71,(0,2)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 0}, Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 0}, Find(2)=1, Find(3)=1, Add (2,3)=42 Failed, w=26\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 0}, Find(2)=1, Find(5)=0, Add (2,5)=43 Succeeded, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 0}, Find(0)=1, Find(1)=1, Add (0,1)=48 Failed, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=52 Failed, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=4, Add (3,4)=52 Succeeded, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=56 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=63 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=65 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=71 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=81 Failed, w=121\"],\"Answer\":121}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,97],[0,3,24],[0,4,11],[1,2,69],[1,4,38],[2,3,40],[2,4,66],[3,4,22]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,97],[0,3,24],[0,4,11],[1,2,69],[1,4,38],[2,3,40],[2,4,66],[3,4,22]]}", "role": "user" }, { "content": "{\"Answer\":111}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,97],[0,3,24],[0,4,11],[1,2,69],[1,4,38],[2,3,40],[2,4,66],[3,4,22]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)\",\"Add (3,4)\",\"Add (1,4)\",\"Add (2,3)\"],\"Answer\":111}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,97],[0,3,24],[0,4,11],[1,2,69],[1,4,38],[2,3,40],[2,4,66],[3,4,22]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)=11, w=11\",\"Add (3,4)=22, w=33\",\"Add (1,4)=38, w=71\",\"Add (2,3)=40, w=111\"],\"Answer\":111}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,97],[0,3,24],[0,4,11],[1,2,69],[1,4,38],[2,3,40],[2,4,66],[3,4,22]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)=11 Succeeded, w=11\",\"Add (3,4)=22 Succeeded, w=33\",\"Add (0,3)=24 Failed, w=33\",\"Add (1,4)=38 Succeeded, w=71\",\"Add (2,3)=40 Succeeded, w=111\",\"Add (2,4)=66 Failed, w=111\",\"Add (1,2)=69 Failed, w=111\",\"Add (0,2)=97 Failed, w=111\"],\"Answer\":111}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,97],[0,3,24],[0,4,11],[1,2,69],[1,4,38],[2,3,40],[2,4,66],[3,4,22]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,4)=11,(3,4)=22,(0,3)=24,(1,4)=38,(2,3)=40,(2,4)=66,(1,2)=69,(0,2)=97]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=11\",\"Find(3)=3, Find(4)=0, Add (3,4)=22 Succeeded, w=33\",\"Find(0)=0, Find(3)=0, Add (0,3)=24 Failed, w=33\",\"Find(1)=1, Find(4)=0, Add (1,4)=38 Succeeded, w=71\",\"Find(2)=2, Find(3)=0, Add (2,3)=40 Succeeded, w=111\",\"Find(2)=0, Find(4)=0, Add (2,4)=66 Failed, w=111\",\"Find(1)=0, Find(2)=0, Add (1,2)=69 Failed, w=111\",\"Find(0)=0, Find(2)=0, Add (0,2)=97 Failed, w=111\"],\"Answer\":111}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,97],[0,3,24],[0,4,11],[1,2,69],[1,4,38],[2,3,40],[2,4,66],[3,4,22]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,4)=11,(3,4)=22,(0,3)=24,(1,4)=38,(2,3)=40,(2,4)=66,(1,2)=69,(0,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=22 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=24 Failed, w=33\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=38 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(3)=0, Add (2,3)=40 Succeeded, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=66 Failed, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=69 Failed, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=97 Failed, w=111\"],\"Answer\":111}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,40],[0,2,92],[0,3,21],[0,4,18],[0,5,60],[1,2,49],[1,3,62],[1,4,58],[1,5,72],[1,6,39],[2,4,50],[2,5,100],[2,6,39],[3,4,24],[3,5,7],[3,6,19],[4,5,93],[4,6,28],[5,6,0]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,2,92],[0,3,21],[0,4,18],[0,5,60],[1,2,49],[1,3,62],[1,4,58],[1,5,72],[1,6,39],[2,4,50],[2,5,100],[2,6,39],[3,4,24],[3,5,7],[3,6,19],[4,5,93],[4,6,28],[5,6,0]]}", "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],\"edges\":[[0,1,40],[0,2,92],[0,3,21],[0,4,18],[0,5,60],[1,2,49],[1,3,62],[1,4,58],[1,5,72],[1,6,39],[2,4,50],[2,5,100],[2,6,39],[3,4,24],[3,5,7],[3,6,19],[4,5,93],[4,6,28],[5,6,0]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)\",\"Add (3,5)\",\"Add (0,4)\",\"Add (0,3)\",\"Add (1,6)\",\"Add (2,6)\"],\"Answer\":124}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,2,92],[0,3,21],[0,4,18],[0,5,60],[1,2,49],[1,3,62],[1,4,58],[1,5,72],[1,6,39],[2,4,50],[2,5,100],[2,6,39],[3,4,24],[3,5,7],[3,6,19],[4,5,93],[4,6,28],[5,6,0]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)=0, w=0\",\"Add (3,5)=7, w=7\",\"Add (0,4)=18, w=25\",\"Add (0,3)=21, w=46\",\"Add (1,6)=39, w=85\",\"Add (2,6)=39, 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],\"edges\":[[0,1,40],[0,2,92],[0,3,21],[0,4,18],[0,5,60],[1,2,49],[1,3,62],[1,4,58],[1,5,72],[1,6,39],[2,4,50],[2,5,100],[2,6,39],[3,4,24],[3,5,7],[3,6,19],[4,5,93],[4,6,28],[5,6,0]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)=0 Succeeded, w=0\",\"Add (3,5)=7 Succeeded, w=7\",\"Add (0,4)=18 Succeeded, w=25\",\"Add (3,6)=19 Failed, w=25\",\"Add (0,3)=21 Succeeded, w=46\",\"Add (3,4)=24 Failed, w=46\",\"Add (4,6)=28 Failed, w=46\",\"Add (1,6)=39 Succeeded, w=85\",\"Add (2,6)=39 Succeeded, w=124\",\"Add (0,1)=40 Failed, w=124\",\"Add (1,2)=49 Failed, w=124\",\"Add (2,4)=50 Failed, w=124\",\"Add (1,4)=58 Failed, w=124\",\"Add (0,5)=60 Failed, w=124\",\"Add (1,3)=62 Failed, w=124\",\"Add (1,5)=72 Failed, w=124\",\"Add (0,2)=92 Failed, w=124\",\"Add (4,5)=93 Failed, w=124\",\"Add (2,5)=100 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],\"edges\":[[0,1,40],[0,2,92],[0,3,21],[0,4,18],[0,5,60],[1,2,49],[1,3,62],[1,4,58],[1,5,72],[1,6,39],[2,4,50],[2,5,100],[2,6,39],[3,4,24],[3,5,7],[3,6,19],[4,5,93],[4,6,28],[5,6,0]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(5,6)=0,(3,5)=7,(0,4)=18,(3,6)=19,(0,3)=21,(3,4)=24,(4,6)=28,(1,6)=39,(2,6)=39,(0,1)=40,(1,2)=49,(2,4)=50,(1,4)=58,(0,5)=60,(1,3)=62,(1,5)=72,(0,2)=92,(4,5)=93,(2,5)=100]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=0 Succeeded, w=0\",\"Find(3)=3, Find(5)=5, Add (3,5)=7 Succeeded, w=7\",\"Find(0)=0, Find(4)=4, Add (0,4)=18 Succeeded, w=25\",\"Find(3)=5, Find(6)=5, Add (3,6)=19 Failed, w=25\",\"Find(0)=0, Find(3)=5, Add (0,3)=21 Succeeded, w=46\",\"Find(3)=0, Find(4)=0, Add (3,4)=24 Failed, w=46\",\"Find(4)=0, Find(6)=0, Add (4,6)=28 Failed, w=46\",\"Find(1)=1, Find(6)=0, Add (1,6)=39 Succeeded, w=85\",\"Find(2)=2, Find(6)=0, Add (2,6)=39 Succeeded, w=124\",\"Find(0)=0, Find(1)=0, Add (0,1)=40 Failed, w=124\",\"Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=124\",\"Find(2)=0, Find(4)=0, Add (2,4)=50 Failed, w=124\",\"Find(1)=0, Find(4)=0, Add (1,4)=58 Failed, w=124\",\"Find(0)=0, Find(5)=0, Add (0,5)=60 Failed, w=124\",\"Find(1)=0, Find(3)=0, Add (1,3)=62 Failed, w=124\",\"Find(1)=0, Find(5)=0, Add (1,5)=72 Failed, w=124\",\"Find(0)=0, Find(2)=0, Add (0,2)=92 Failed, w=124\",\"Find(4)=0, Find(5)=0, Add (4,5)=93 Failed, w=124\",\"Find(2)=0, Find(5)=0, Add (2,5)=100 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],\"edges\":[[0,1,40],[0,2,92],[0,3,21],[0,4,18],[0,5,60],[1,2,49],[1,3,62],[1,4,58],[1,5,72],[1,6,39],[2,4,50],[2,5,100],[2,6,39],[3,4,24],[3,5,7],[3,6,19],[4,5,93],[4,6,28],[5,6,0]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(5,6)=0,(3,5)=7,(0,4)=18,(3,6)=19,(0,3)=21,(3,4)=24,(4,6)=28,(1,6)=39,(2,6)=39,(0,1)=40,(1,2)=49,(2,4)=50,(1,4)=58,(0,5)=60,(1,3)=62,(1,5)=72,(0,2)=92,(4,5)=93,(2,5)=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: 1, 2: 2, 3: 5, 4: 4, 5: 5, 6: 5}, Find(3)=3, Find(5)=5, Add (3,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 0, 5: 5, 6: 5}, Find(0)=0, Find(4)=4, Add (0,4)=18 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 0, 5: 5, 6: 5}, Find(3)=5, Find(6)=5, Add (3,6)=19 Failed, w=25\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 0, 5: 0, 6: 5}, Find(0)=0, Find(3)=5, Add (0,3)=21 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 5}, Find(3)=0, Find(4)=0, Add (3,4)=24 Failed, w=46\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=28 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=39 Succeeded, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=39 Succeeded, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=40 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=50 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=58 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=60 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=62 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=72 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=92 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=93 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=100 Failed, w=124\"],\"Answer\":124}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,95],[0,2,28],[0,3,0],[0,4,53],[1,2,29],[1,4,58],[2,3,15],[3,4,19]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,2,28],[0,3,0],[0,4,53],[1,2,29],[1,4,58],[2,3,15],[3,4,19]]}", "role": "user" }, { "content": "{\"Answer\":63}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,2,28],[0,3,0],[0,4,53],[1,2,29],[1,4,58],[2,3,15],[3,4,19]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (1,2)\"],\"Answer\":63}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,2,28],[0,3,0],[0,4,53],[1,2,29],[1,4,58],[2,3,15],[3,4,19]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (2,3)=15, w=15\",\"Add (3,4)=19, w=34\",\"Add (1,2)=29, w=63\"],\"Answer\":63}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,2,28],[0,3,0],[0,4,53],[1,2,29],[1,4,58],[2,3,15],[3,4,19]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (2,3)=15 Succeeded, w=15\",\"Add (3,4)=19 Succeeded, w=34\",\"Add (0,2)=28 Failed, w=34\",\"Add (1,2)=29 Succeeded, w=63\",\"Add (0,4)=53 Failed, w=63\",\"Add (1,4)=58 Failed, w=63\",\"Add (0,1)=95 Failed, w=63\"],\"Answer\":63}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,2,28],[0,3,0],[0,4,53],[1,2,29],[1,4,58],[2,3,15],[3,4,19]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=0,(2,3)=15,(3,4)=19,(0,2)=28,(1,2)=29,(0,4)=53,(1,4)=58,(0,1)=95]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(2)=2, Find(3)=0, Add (2,3)=15 Succeeded, w=15\",\"Find(3)=0, Find(4)=4, Add (3,4)=19 Succeeded, w=34\",\"Find(0)=0, Find(2)=0, Add (0,2)=28 Failed, w=34\",\"Find(1)=1, Find(2)=0, Add (1,2)=29 Succeeded, w=63\",\"Find(0)=0, Find(4)=0, Add (0,4)=53 Failed, w=63\",\"Find(1)=0, Find(4)=0, Add (1,4)=58 Failed, w=63\",\"Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=63\"],\"Answer\":63}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,2,28],[0,3,0],[0,4,53],[1,2,29],[1,4,58],[2,3,15],[3,4,19]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=0,(2,3)=15,(3,4)=19,(0,2)=28,(1,2)=29,(0,4)=53,(1,4)=58,(0,1)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(2)=2, Find(3)=0, Add (2,3)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=19 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=28 Failed, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(2)=0, Add (1,2)=29 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=53 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=58 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=63\"],\"Answer\":63}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,67],[0,2,70],[0,3,29],[0,4,9],[0,5,45],[0,6,15],[0,7,15],[1,2,47],[1,3,22],[1,5,17],[1,6,42],[1,7,31],[2,3,54],[2,4,16],[2,5,47],[2,6,26],[3,4,16],[3,5,27],[3,6,83],[4,5,69],[4,6,5],[4,7,76],[5,6,3],[5,7,27],[6,7,47]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,70],[0,3,29],[0,4,9],[0,5,45],[0,6,15],[0,7,15],[1,2,47],[1,3,22],[1,5,17],[1,6,42],[1,7,31],[2,3,54],[2,4,16],[2,5,47],[2,6,26],[3,4,16],[3,5,27],[3,6,83],[4,5,69],[4,6,5],[4,7,76],[5,6,3],[5,7,27],[6,7,47]]}", "role": "user" }, { "content": "{\"Answer\":81}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,70],[0,3,29],[0,4,9],[0,5,45],[0,6,15],[0,7,15],[1,2,47],[1,3,22],[1,5,17],[1,6,42],[1,7,31],[2,3,54],[2,4,16],[2,5,47],[2,6,26],[3,4,16],[3,5,27],[3,6,83],[4,5,69],[4,6,5],[4,7,76],[5,6,3],[5,7,27],[6,7,47]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)\",\"Add (4,6)\",\"Add (0,4)\",\"Add (0,7)\",\"Add (2,4)\",\"Add (3,4)\",\"Add (1,5)\"],\"Answer\":81}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,70],[0,3,29],[0,4,9],[0,5,45],[0,6,15],[0,7,15],[1,2,47],[1,3,22],[1,5,17],[1,6,42],[1,7,31],[2,3,54],[2,4,16],[2,5,47],[2,6,26],[3,4,16],[3,5,27],[3,6,83],[4,5,69],[4,6,5],[4,7,76],[5,6,3],[5,7,27],[6,7,47]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)=3, w=3\",\"Add (4,6)=5, w=8\",\"Add (0,4)=9, w=17\",\"Add (0,7)=15, w=32\",\"Add (2,4)=16, w=48\",\"Add (3,4)=16, w=64\",\"Add (1,5)=17, w=81\"],\"Answer\":81}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,70],[0,3,29],[0,4,9],[0,5,45],[0,6,15],[0,7,15],[1,2,47],[1,3,22],[1,5,17],[1,6,42],[1,7,31],[2,3,54],[2,4,16],[2,5,47],[2,6,26],[3,4,16],[3,5,27],[3,6,83],[4,5,69],[4,6,5],[4,7,76],[5,6,3],[5,7,27],[6,7,47]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)=3 Succeeded, w=3\",\"Add (4,6)=5 Succeeded, w=8\",\"Add (0,4)=9 Succeeded, w=17\",\"Add (0,6)=15 Failed, w=17\",\"Add (0,7)=15 Succeeded, w=32\",\"Add (2,4)=16 Succeeded, w=48\",\"Add (3,4)=16 Succeeded, w=64\",\"Add (1,5)=17 Succeeded, w=81\",\"Add (1,3)=22 Failed, w=81\",\"Add (2,6)=26 Failed, w=81\",\"Add (3,5)=27 Failed, w=81\",\"Add (5,7)=27 Failed, w=81\",\"Add (0,3)=29 Failed, w=81\",\"Add (1,7)=31 Failed, w=81\",\"Add (1,6)=42 Failed, w=81\",\"Add (0,5)=45 Failed, w=81\",\"Add (1,2)=47 Failed, w=81\",\"Add (2,5)=47 Failed, w=81\",\"Add (6,7)=47 Failed, w=81\",\"Add (2,3)=54 Failed, w=81\",\"Add (0,1)=67 Failed, w=81\",\"Add (4,5)=69 Failed, w=81\",\"Add (0,2)=70 Failed, w=81\",\"Add (4,7)=76 Failed, w=81\",\"Add (3,6)=83 Failed, w=81\"],\"Answer\":81}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,70],[0,3,29],[0,4,9],[0,5,45],[0,6,15],[0,7,15],[1,2,47],[1,3,22],[1,5,17],[1,6,42],[1,7,31],[2,3,54],[2,4,16],[2,5,47],[2,6,26],[3,4,16],[3,5,27],[3,6,83],[4,5,69],[4,6,5],[4,7,76],[5,6,3],[5,7,27],[6,7,47]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(5,6)=3,(4,6)=5,(0,4)=9,(0,6)=15,(0,7)=15,(2,4)=16,(3,4)=16,(1,5)=17,(1,3)=22,(2,6)=26,(3,5)=27,(5,7)=27,(0,3)=29,(1,7)=31,(1,6)=42,(0,5)=45,(1,2)=47,(2,5)=47,(6,7)=47,(2,3)=54,(0,1)=67,(4,5)=69,(0,2)=70,(4,7)=76,(3,6)=83]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=3 Succeeded, w=3\",\"Find(4)=4, Find(6)=5, Add (4,6)=5 Succeeded, w=8\",\"Find(0)=0, Find(4)=5, Add (0,4)=9 Succeeded, w=17\",\"Find(0)=5, Find(6)=5, Add (0,6)=15 Failed, w=17\",\"Find(0)=5, Find(7)=7, Add (0,7)=15 Succeeded, w=32\",\"Find(2)=2, Find(4)=5, Add (2,4)=16 Succeeded, w=48\",\"Find(3)=3, Find(4)=5, Add (3,4)=16 Succeeded, w=64\",\"Find(1)=1, Find(5)=5, Add (1,5)=17 Succeeded, w=81\",\"Find(1)=5, Find(3)=5, Add (1,3)=22 Failed, w=81\",\"Find(2)=5, Find(6)=5, Add (2,6)=26 Failed, w=81\",\"Find(3)=5, Find(5)=5, Add (3,5)=27 Failed, w=81\",\"Find(5)=5, Find(7)=5, Add (5,7)=27 Failed, w=81\",\"Find(0)=5, Find(3)=5, Add (0,3)=29 Failed, w=81\",\"Find(1)=5, Find(7)=5, Add (1,7)=31 Failed, w=81\",\"Find(1)=5, Find(6)=5, Add (1,6)=42 Failed, w=81\",\"Find(0)=5, Find(5)=5, Add (0,5)=45 Failed, w=81\",\"Find(1)=5, Find(2)=5, Add (1,2)=47 Failed, w=81\",\"Find(2)=5, Find(5)=5, Add (2,5)=47 Failed, w=81\",\"Find(6)=5, Find(7)=5, Add (6,7)=47 Failed, w=81\",\"Find(2)=5, Find(3)=5, Add (2,3)=54 Failed, w=81\",\"Find(0)=5, Find(1)=5, Add (0,1)=67 Failed, w=81\",\"Find(4)=5, Find(5)=5, Add (4,5)=69 Failed, w=81\",\"Find(0)=5, Find(2)=5, Add (0,2)=70 Failed, w=81\",\"Find(4)=5, Find(7)=5, Add (4,7)=76 Failed, w=81\",\"Find(3)=5, Find(6)=5, Add (3,6)=83 Failed, w=81\"],\"Answer\":81}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,70],[0,3,29],[0,4,9],[0,5,45],[0,6,15],[0,7,15],[1,2,47],[1,3,22],[1,5,17],[1,6,42],[1,7,31],[2,3,54],[2,4,16],[2,5,47],[2,6,26],[3,4,16],[3,5,27],[3,6,83],[4,5,69],[4,6,5],[4,7,76],[5,6,3],[5,7,27],[6,7,47]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(5,6)=3,(4,6)=5,(0,4)=9,(0,6)=15,(0,7)=15,(2,4)=16,(3,4)=16,(1,5)=17,(1,3)=22,(2,6)=26,(3,5)=27,(5,7)=27,(0,3)=29,(1,7)=31,(1,6)=42,(0,5)=45,(1,2)=47,(2,5)=47,(6,7)=47,(2,3)=54,(0,1)=67,(4,5)=69,(0,2)=70,(4,7)=76,(3,6)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 5, 5: 5, 6: 5, 7: 7}, Find(4)=4, Find(6)=5, Add (4,6)=5 Succeeded, w=8\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 5, 5: 5, 6: 5, 7: 7}, Find(0)=0, Find(4)=5, Add (0,4)=9 Succeeded, w=17\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 5, 5: 5, 6: 5, 7: 7}, Find(0)=5, Find(6)=5, Add (0,6)=15 Failed, w=17\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(7)=7, Add (0,7)=15 Succeeded, w=32\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 3, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=2, Find(4)=5, Add (2,4)=16 Succeeded, w=48\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=3, Find(4)=5, Add (3,4)=16 Succeeded, w=64\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=1, Find(5)=5, Add (1,5)=17 Succeeded, w=81\",\"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)=22 Failed, w=81\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(6)=5, Add (2,6)=26 Failed, w=81\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(5)=5, Add (3,5)=27 Failed, w=81\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(5)=5, Find(7)=5, Add (5,7)=27 Failed, w=81\",\"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)=29 Failed, w=81\",\"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)=31 Failed, w=81\",\"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)=42 Failed, w=81\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(5)=5, Add (0,5)=45 Failed, w=81\",\"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)=47 Failed, w=81\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(5)=5, Add (2,5)=47 Failed, w=81\",\"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)=47 Failed, w=81\",\"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)=54 Failed, w=81\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(1)=5, Add (0,1)=67 Failed, w=81\",\"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)=69 Failed, w=81\",\"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)=70 Failed, w=81\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=5, Find(7)=5, Add (4,7)=76 Failed, w=81\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(6)=5, Add (3,6)=83 Failed, w=81\"],\"Answer\":81}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,60],[0,3,89],[0,4,72],[0,6,52],[1,2,73],[1,3,92],[1,4,100],[1,5,57],[1,6,42],[2,3,55],[2,4,60],[2,5,47],[2,6,53],[3,4,86],[3,5,81],[3,6,42],[4,5,66],[4,6,57],[5,6,28]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,60],[0,3,89],[0,4,72],[0,6,52],[1,2,73],[1,3,92],[1,4,100],[1,5,57],[1,6,42],[2,3,55],[2,4,60],[2,5,47],[2,6,53],[3,4,86],[3,5,81],[3,6,42],[4,5,66],[4,6,57],[5,6,28]]}", "role": "user" }, { "content": "{\"Answer\":268}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,60],[0,3,89],[0,4,72],[0,6,52],[1,2,73],[1,3,92],[1,4,100],[1,5,57],[1,6,42],[2,3,55],[2,4,60],[2,5,47],[2,6,53],[3,4,86],[3,5,81],[3,6,42],[4,5,66],[4,6,57],[5,6,28]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)\",\"Add (1,6)\",\"Add (3,6)\",\"Add (2,5)\",\"Add (0,6)\",\"Add (4,6)\"],\"Answer\":268}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,60],[0,3,89],[0,4,72],[0,6,52],[1,2,73],[1,3,92],[1,4,100],[1,5,57],[1,6,42],[2,3,55],[2,4,60],[2,5,47],[2,6,53],[3,4,86],[3,5,81],[3,6,42],[4,5,66],[4,6,57],[5,6,28]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)=28, w=28\",\"Add (1,6)=42, w=70\",\"Add (3,6)=42, w=112\",\"Add (2,5)=47, w=159\",\"Add (0,6)=52, w=211\",\"Add (4,6)=57, w=268\"],\"Answer\":268}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,60],[0,3,89],[0,4,72],[0,6,52],[1,2,73],[1,3,92],[1,4,100],[1,5,57],[1,6,42],[2,3,55],[2,4,60],[2,5,47],[2,6,53],[3,4,86],[3,5,81],[3,6,42],[4,5,66],[4,6,57],[5,6,28]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (5,6)=28 Succeeded, w=28\",\"Add (1,6)=42 Succeeded, w=70\",\"Add (3,6)=42 Succeeded, w=112\",\"Add (2,5)=47 Succeeded, w=159\",\"Add (0,6)=52 Succeeded, w=211\",\"Add (2,6)=53 Failed, w=211\",\"Add (2,3)=55 Failed, w=211\",\"Add (1,5)=57 Failed, w=211\",\"Add (4,6)=57 Succeeded, w=268\",\"Add (0,1)=60 Failed, w=268\",\"Add (2,4)=60 Failed, w=268\",\"Add (4,5)=66 Failed, w=268\",\"Add (0,4)=72 Failed, w=268\",\"Add (1,2)=73 Failed, w=268\",\"Add (3,5)=81 Failed, w=268\",\"Add (3,4)=86 Failed, w=268\",\"Add (0,3)=89 Failed, w=268\",\"Add (1,3)=92 Failed, w=268\",\"Add (1,4)=100 Failed, w=268\"],\"Answer\":268}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,60],[0,3,89],[0,4,72],[0,6,52],[1,2,73],[1,3,92],[1,4,100],[1,5,57],[1,6,42],[2,3,55],[2,4,60],[2,5,47],[2,6,53],[3,4,86],[3,5,81],[3,6,42],[4,5,66],[4,6,57],[5,6,28]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(5,6)=28,(1,6)=42,(3,6)=42,(2,5)=47,(0,6)=52,(2,6)=53,(2,3)=55,(1,5)=57,(4,6)=57,(0,1)=60,(2,4)=60,(4,5)=66,(0,4)=72,(1,2)=73,(3,5)=81,(3,4)=86,(0,3)=89,(1,3)=92,(1,4)=100]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=28 Succeeded, w=28\",\"Find(1)=1, Find(6)=5, Add (1,6)=42 Succeeded, w=70\",\"Find(3)=3, Find(6)=5, Add (3,6)=42 Succeeded, w=112\",\"Find(2)=2, Find(5)=5, Add (2,5)=47 Succeeded, w=159\",\"Find(0)=0, Find(6)=5, Add (0,6)=52 Succeeded, w=211\",\"Find(2)=5, Find(6)=5, Add (2,6)=53 Failed, w=211\",\"Find(2)=5, Find(3)=5, Add (2,3)=55 Failed, w=211\",\"Find(1)=5, Find(5)=5, Add (1,5)=57 Failed, w=211\",\"Find(4)=4, Find(6)=5, Add (4,6)=57 Succeeded, w=268\",\"Find(0)=5, Find(1)=5, Add (0,1)=60 Failed, w=268\",\"Find(2)=5, Find(4)=5, Add (2,4)=60 Failed, w=268\",\"Find(4)=5, Find(5)=5, Add (4,5)=66 Failed, w=268\",\"Find(0)=5, Find(4)=5, Add (0,4)=72 Failed, w=268\",\"Find(1)=5, Find(2)=5, Add (1,2)=73 Failed, w=268\",\"Find(3)=5, Find(5)=5, Add (3,5)=81 Failed, w=268\",\"Find(3)=5, Find(4)=5, Add (3,4)=86 Failed, w=268\",\"Find(0)=5, Find(3)=5, Add (0,3)=89 Failed, w=268\",\"Find(1)=5, Find(3)=5, Add (1,3)=92 Failed, w=268\",\"Find(1)=5, Find(4)=5, Add (1,4)=100 Failed, w=268\"],\"Answer\":268}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,60],[0,3,89],[0,4,72],[0,6,52],[1,2,73],[1,3,92],[1,4,100],[1,5,57],[1,6,42],[2,3,55],[2,4,60],[2,5,47],[2,6,53],[3,4,86],[3,5,81],[3,6,42],[4,5,66],[4,6,57],[5,6,28]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(5,6)=28,(1,6)=42,(3,6)=42,(2,5)=47,(0,6)=52,(2,6)=53,(2,3)=55,(1,5)=57,(4,6)=57,(0,1)=60,(2,4)=60,(4,5)=66,(0,4)=72,(1,2)=73,(3,5)=81,(3,4)=86,(0,3)=89,(1,3)=92,(1,4)=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)=28 Succeeded, w=28\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(1)=1, Find(6)=5, Add (1,6)=42 Succeeded, w=70\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 5, 4: 4, 5: 5, 6: 5}, Find(3)=3, Find(6)=5, Add (3,6)=42 Succeeded, w=112\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 5, 4: 4, 5: 5, 6: 5}, Find(2)=2, Find(5)=5, Add (2,5)=47 Succeeded, w=159\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(6)=5, Add (0,6)=52 Succeeded, w=211\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 4, 5: 5, 6: 5}, Find(2)=5, Find(6)=5, Add (2,6)=53 Failed, w=211\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 4, 5: 5, 6: 5}, Find(2)=5, Find(3)=5, Add (2,3)=55 Failed, w=211\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 4, 5: 5, 6: 5}, Find(1)=5, Find(5)=5, Add (1,5)=57 Failed, w=211\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(4)=4, Find(6)=5, Add (4,6)=57 Succeeded, w=268\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(1)=5, Add (0,1)=60 Failed, w=268\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(4)=5, Add (2,4)=60 Failed, w=268\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(4)=5, Find(5)=5, Add (4,5)=66 Failed, w=268\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(4)=5, Add (0,4)=72 Failed, w=268\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(2)=5, Add (1,2)=73 Failed, w=268\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(3)=5, Find(5)=5, Add (3,5)=81 Failed, w=268\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(3)=5, Find(4)=5, Add (3,4)=86 Failed, w=268\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(3)=5, Add (0,3)=89 Failed, w=268\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(3)=5, Add (1,3)=92 Failed, w=268\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(4)=5, Add (1,4)=100 Failed, w=268\"],\"Answer\":268}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,60],[0,4,43],[0,6,29],[0,7,64],[1,2,12],[1,6,4],[1,7,60],[2,3,59],[2,4,97],[2,5,69],[2,6,8],[3,5,21],[3,6,99],[3,7,22],[4,5,96],[4,7,14],[5,7,93]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,60],[0,4,43],[0,6,29],[0,7,64],[1,2,12],[1,6,4],[1,7,60],[2,3,59],[2,4,97],[2,5,69],[2,6,8],[3,5,21],[3,6,99],[3,7,22],[4,5,96],[4,7,14],[5,7,93]]}", "role": "user" }, { "content": "{\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,60],[0,4,43],[0,6,29],[0,7,64],[1,2,12],[1,6,4],[1,7,60],[2,3,59],[2,4,97],[2,5,69],[2,6,8],[3,5,21],[3,6,99],[3,7,22],[4,5,96],[4,7,14],[5,7,93]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,6)\",\"Add (2,6)\",\"Add (4,7)\",\"Add (3,5)\",\"Add (3,7)\",\"Add (0,6)\",\"Add (0,4)\"],\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,60],[0,4,43],[0,6,29],[0,7,64],[1,2,12],[1,6,4],[1,7,60],[2,3,59],[2,4,97],[2,5,69],[2,6,8],[3,5,21],[3,6,99],[3,7,22],[4,5,96],[4,7,14],[5,7,93]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,6)=4, w=4\",\"Add (2,6)=8, w=12\",\"Add (4,7)=14, w=26\",\"Add (3,5)=21, w=47\",\"Add (3,7)=22, w=69\",\"Add (0,6)=29, w=98\",\"Add (0,4)=43, w=141\"],\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,60],[0,4,43],[0,6,29],[0,7,64],[1,2,12],[1,6,4],[1,7,60],[2,3,59],[2,4,97],[2,5,69],[2,6,8],[3,5,21],[3,6,99],[3,7,22],[4,5,96],[4,7,14],[5,7,93]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,6)=4 Succeeded, w=4\",\"Add (2,6)=8 Succeeded, w=12\",\"Add (1,2)=12 Failed, w=12\",\"Add (4,7)=14 Succeeded, w=26\",\"Add (3,5)=21 Succeeded, w=47\",\"Add (3,7)=22 Succeeded, w=69\",\"Add (0,6)=29 Succeeded, w=98\",\"Add (0,4)=43 Succeeded, w=141\",\"Add (2,3)=59 Failed, w=141\",\"Add (0,2)=60 Failed, w=141\",\"Add (1,7)=60 Failed, w=141\",\"Add (0,7)=64 Failed, w=141\",\"Add (2,5)=69 Failed, w=141\",\"Add (5,7)=93 Failed, w=141\",\"Add (4,5)=96 Failed, w=141\",\"Add (2,4)=97 Failed, w=141\",\"Add (3,6)=99 Failed, w=141\"],\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,60],[0,4,43],[0,6,29],[0,7,64],[1,2,12],[1,6,4],[1,7,60],[2,3,59],[2,4,97],[2,5,69],[2,6,8],[3,5,21],[3,6,99],[3,7,22],[4,5,96],[4,7,14],[5,7,93]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,6)=4,(2,6)=8,(1,2)=12,(4,7)=14,(3,5)=21,(3,7)=22,(0,6)=29,(0,4)=43,(2,3)=59,(0,2)=60,(1,7)=60,(0,7)=64,(2,5)=69,(5,7)=93,(4,5)=96,(2,4)=97,(3,6)=99]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=4 Succeeded, w=4\",\"Find(2)=2, Find(6)=1, Add (2,6)=8 Succeeded, w=12\",\"Find(1)=1, Find(2)=1, Add (1,2)=12 Failed, w=12\",\"Find(4)=4, Find(7)=7, Add (4,7)=14 Succeeded, w=26\",\"Find(3)=3, Find(5)=5, Add (3,5)=21 Succeeded, w=47\",\"Find(3)=3, Find(7)=4, Add (3,7)=22 Succeeded, w=69\",\"Find(0)=0, Find(6)=1, Add (0,6)=29 Succeeded, w=98\",\"Find(0)=1, Find(4)=3, Add (0,4)=43 Succeeded, w=141\",\"Find(2)=3, Find(3)=3, Add (2,3)=59 Failed, w=141\",\"Find(0)=3, Find(2)=3, Add (0,2)=60 Failed, w=141\",\"Find(1)=3, Find(7)=3, Add (1,7)=60 Failed, w=141\",\"Find(0)=3, Find(7)=3, Add (0,7)=64 Failed, w=141\",\"Find(2)=3, Find(5)=3, Add (2,5)=69 Failed, w=141\",\"Find(5)=3, Find(7)=3, Add (5,7)=93 Failed, w=141\",\"Find(4)=3, Find(5)=3, Add (4,5)=96 Failed, w=141\",\"Find(2)=3, Find(4)=3, Add (2,4)=97 Failed, w=141\",\"Find(3)=3, Find(6)=3, Add (3,6)=99 Failed, w=141\"],\"Answer\":141}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,60],[0,4,43],[0,6,29],[0,7,64],[1,2,12],[1,6,4],[1,7,60],[2,3,59],[2,4,97],[2,5,69],[2,6,8],[3,5,21],[3,6,99],[3,7,22],[4,5,96],[4,7,14],[5,7,93]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,6)=4,(2,6)=8,(1,2)=12,(4,7)=14,(3,5)=21,(3,7)=22,(0,6)=29,(0,4)=43,(2,3)=59,(0,2)=60,(1,7)=60,(0,7)=64,(2,5)=69,(5,7)=93,(4,5)=96,(2,4)=97,(3,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 1, 7: 7}, Find(2)=2, Find(6)=1, Add (2,6)=8 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(2)=1, Add (1,2)=12 Failed, w=12\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 1, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=14 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3, 6: 1, 7: 4}, Find(3)=3, Find(5)=5, Add (3,5)=21 Succeeded, w=47\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 3, 6: 1, 7: 4}, Find(3)=3, Find(7)=4, Add (3,7)=22 Succeeded, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 3, 6: 1, 7: 4}, Find(0)=0, Find(6)=1, Add (0,6)=29 Succeeded, w=98\",\"Parent: {0: 1, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 1, 7: 4}, Find(0)=1, Find(4)=3, Add (0,4)=43 Succeeded, w=141\",\"Parent: {0: 1, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 4}, Find(2)=3, Find(3)=3, Add (2,3)=59 Failed, w=141\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 4}, Find(0)=3, Find(2)=3, Add (0,2)=60 Failed, w=141\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=60 Failed, w=141\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(0)=3, Find(7)=3, Add (0,7)=64 Failed, w=141\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(2)=3, Find(5)=3, Add (2,5)=69 Failed, w=141\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=93 Failed, w=141\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=96 Failed, w=141\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=97 Failed, w=141\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(6)=3, Add (3,6)=99 Failed, w=141\"],\"Answer\":141}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,44],[0,2,27],[0,3,84],[1,2,48],[1,3,89],[2,3,55]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,27],[0,3,84],[1,2,48],[1,3,89],[2,3,55]]}", "role": "user" }, { "content": "{\"Answer\":126}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,27],[0,3,84],[1,2,48],[1,3,89],[2,3,55]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":126}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,27],[0,3,84],[1,2,48],[1,3,89],[2,3,55]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=27, w=27\",\"Add (0,1)=44, w=71\",\"Add (2,3)=55, w=126\"],\"Answer\":126}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,27],[0,3,84],[1,2,48],[1,3,89],[2,3,55]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,2)=27 Succeeded, w=27\",\"Add (0,1)=44 Succeeded, w=71\",\"Add (1,2)=48 Failed, w=71\",\"Add (2,3)=55 Succeeded, w=126\",\"Add (0,3)=84 Failed, w=126\",\"Add (1,3)=89 Failed, w=126\"],\"Answer\":126}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,27],[0,3,84],[1,2,48],[1,3,89],[2,3,55]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=27,(0,1)=44,(1,2)=48,(2,3)=55,(0,3)=84,(1,3)=89]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=27\",\"Find(0)=0, Find(1)=1, Add (0,1)=44 Succeeded, w=71\",\"Find(1)=0, Find(2)=0, Add (1,2)=48 Failed, w=71\",\"Find(2)=0, Find(3)=3, Add (2,3)=55 Succeeded, w=126\",\"Find(0)=0, Find(3)=0, Add (0,3)=84 Failed, w=126\",\"Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=126\"],\"Answer\":126}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,27],[0,3,84],[1,2,48],[1,3,89],[2,3,55]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,2)=27,(0,1)=44,(1,2)=48,(2,3)=55,(0,3)=84,(1,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=44 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=0, Add (1,2)=48 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=55 Succeeded, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=84 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=126\"],\"Answer\":126}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,37],[0,2,20],[0,3,79],[0,4,63],[1,2,98],[1,3,60],[1,4,52],[2,3,8],[2,4,76],[3,4,96]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,20],[0,3,79],[0,4,63],[1,2,98],[1,3,60],[1,4,52],[2,3,8],[2,4,76],[3,4,96]]}", "role": "user" }, { "content": "{\"Answer\":117}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,20],[0,3,79],[0,4,63],[1,2,98],[1,3,60],[1,4,52],[2,3,8],[2,4,76],[3,4,96]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (0,1)\",\"Add (1,4)\"],\"Answer\":117}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,20],[0,3,79],[0,4,63],[1,2,98],[1,3,60],[1,4,52],[2,3,8],[2,4,76],[3,4,96]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=8, w=8\",\"Add (0,2)=20, w=28\",\"Add (0,1)=37, w=65\",\"Add (1,4)=52, w=117\"],\"Answer\":117}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,20],[0,3,79],[0,4,63],[1,2,98],[1,3,60],[1,4,52],[2,3,8],[2,4,76],[3,4,96]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,3)=8 Succeeded, w=8\",\"Add (0,2)=20 Succeeded, w=28\",\"Add (0,1)=37 Succeeded, w=65\",\"Add (1,4)=52 Succeeded, w=117\",\"Add (1,3)=60 Failed, w=117\",\"Add (0,4)=63 Failed, w=117\",\"Add (2,4)=76 Failed, w=117\",\"Add (0,3)=79 Failed, w=117\",\"Add (3,4)=96 Failed, w=117\",\"Add (1,2)=98 Failed, w=117\"],\"Answer\":117}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,20],[0,3,79],[0,4,63],[1,2,98],[1,3,60],[1,4,52],[2,3,8],[2,4,76],[3,4,96]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=8,(0,2)=20,(0,1)=37,(1,4)=52,(1,3)=60,(0,4)=63,(2,4)=76,(0,3)=79,(3,4)=96,(1,2)=98]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=28\",\"Find(0)=2, Find(1)=1, Add (0,1)=37 Succeeded, w=65\",\"Find(1)=2, Find(4)=4, Add (1,4)=52 Succeeded, w=117\",\"Find(1)=2, Find(3)=2, Add (1,3)=60 Failed, w=117\",\"Find(0)=2, Find(4)=2, Add (0,4)=63 Failed, w=117\",\"Find(2)=2, Find(4)=2, Add (2,4)=76 Failed, w=117\",\"Find(0)=2, Find(3)=2, Add (0,3)=79 Failed, w=117\",\"Find(3)=2, Find(4)=2, Add (3,4)=96 Failed, w=117\",\"Find(1)=2, Find(2)=2, Add (1,2)=98 Failed, w=117\"],\"Answer\":117}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,20],[0,3,79],[0,4,63],[1,2,98],[1,3,60],[1,4,52],[2,3,8],[2,4,76],[3,4,96]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,3)=8,(0,2)=20,(0,1)=37,(1,4)=52,(1,3)=60,(0,4)=63,(2,4)=76,(0,3)=79,(3,4)=96,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=28\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4}, Find(0)=2, Find(1)=1, Add (0,1)=37 Succeeded, w=65\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=4, Add (1,4)=52 Succeeded, w=117\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=60 Failed, w=117\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=63 Failed, w=117\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=76 Failed, w=117\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=79 Failed, w=117\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=96 Failed, w=117\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=98 Failed, w=117\"],\"Answer\":117}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,48],[0,3,80],[2,3,72],[2,4,48],[3,4,17]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,48],[0,3,80],[2,3,72],[2,4,48],[3,4,17]]}", "role": "user" }, { "content": "{\"Answer\":113}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,48],[0,3,80],[2,3,72],[2,4,48],[3,4,17]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)\",\"Add (0,2)\",\"Add (2,4)\"],\"Answer\":113}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,48],[0,3,80],[2,3,72],[2,4,48],[3,4,17]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=17, w=17\",\"Add (0,2)=48, w=65\",\"Add (2,4)=48, w=113\"],\"Answer\":113}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,48],[0,3,80],[2,3,72],[2,4,48],[3,4,17]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=17 Succeeded, w=17\",\"Add (0,2)=48 Succeeded, w=65\",\"Add (2,4)=48 Succeeded, w=113\",\"Add (2,3)=72 Failed, w=113\",\"Add (0,3)=80 Failed, w=113\"],\"Answer\":113}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,48],[0,3,80],[2,3,72],[2,4,48],[3,4,17]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=17,(0,2)=48,(2,4)=48,(2,3)=72,(0,3)=80]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=17 Succeeded, w=17\",\"Find(0)=0, Find(2)=2, Add (0,2)=48 Succeeded, w=65\",\"Find(2)=0, Find(4)=3, Add (2,4)=48 Succeeded, w=113\",\"Find(2)=0, Find(3)=0, Add (2,3)=72 Failed, w=113\",\"Find(0)=0, Find(3)=0, Add (0,3)=80 Failed, w=113\"],\"Answer\":113}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,48],[0,3,80],[2,3,72],[2,4,48],[3,4,17]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=17,(0,2)=48,(2,4)=48,(2,3)=72,(0,3)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3}, Find(0)=0, Find(2)=2, Add (0,2)=48 Succeeded, w=65\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(4)=3, Add (2,4)=48 Succeeded, w=113\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(3)=0, Add (2,3)=72 Failed, w=113\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(3)=0, Add (0,3)=80 Failed, w=113\"],\"Answer\":113}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,36],[0,4,98],[1,2,5],[1,5,28],[1,6,47],[2,4,57],[2,5,29],[4,5,59],[4,6,84],[5,6,55]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,4,98],[1,2,5],[1,5,28],[1,6,47],[2,4,57],[2,5,29],[4,5,59],[4,6,84],[5,6,55]]}", "role": "user" }, { "content": "{\"Answer\":173}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,4,98],[1,2,5],[1,5,28],[1,6,47],[2,4,57],[2,5,29],[4,5,59],[4,6,84],[5,6,55]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (1,5)\",\"Add (0,2)\",\"Add (1,6)\",\"Add (2,4)\"],\"Answer\":173}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,4,98],[1,2,5],[1,5,28],[1,6,47],[2,4,57],[2,5,29],[4,5,59],[4,6,84],[5,6,55]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=5, w=5\",\"Add (1,5)=28, w=33\",\"Add (0,2)=36, w=69\",\"Add (1,6)=47, w=116\",\"Add (2,4)=57, w=173\"],\"Answer\":173}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,4,98],[1,2,5],[1,5,28],[1,6,47],[2,4,57],[2,5,29],[4,5,59],[4,6,84],[5,6,55]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=5 Succeeded, w=5\",\"Add (1,5)=28 Succeeded, w=33\",\"Add (2,5)=29 Failed, w=33\",\"Add (0,2)=36 Succeeded, w=69\",\"Add (1,6)=47 Succeeded, w=116\",\"Add (5,6)=55 Failed, w=116\",\"Add (2,4)=57 Succeeded, w=173\",\"Add (4,5)=59 Failed, w=173\",\"Add (4,6)=84 Failed, w=173\",\"Add (0,4)=98 Failed, w=173\"],\"Answer\":173}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,4,98],[1,2,5],[1,5,28],[1,6,47],[2,4,57],[2,5,29],[4,5,59],[4,6,84],[5,6,55]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=5,(1,5)=28,(2,5)=29,(0,2)=36,(1,6)=47,(5,6)=55,(2,4)=57,(4,5)=59,(4,6)=84,(0,4)=98]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Find(1)=1, Find(5)=5, Add (1,5)=28 Succeeded, w=33\",\"Find(2)=1, Find(5)=1, Add (2,5)=29 Failed, w=33\",\"Find(0)=0, Find(2)=1, Add (0,2)=36 Succeeded, w=69\",\"Find(1)=1, Find(6)=6, Add (1,6)=47 Succeeded, w=116\",\"Find(5)=1, Find(6)=1, Add (5,6)=55 Failed, w=116\",\"Find(2)=1, Find(4)=4, Add (2,4)=57 Succeeded, w=173\",\"Find(4)=1, Find(5)=1, Add (4,5)=59 Failed, w=173\",\"Find(4)=1, Find(6)=1, Add (4,6)=84 Failed, w=173\",\"Find(0)=1, Find(4)=1, Add (0,4)=98 Failed, w=173\"],\"Answer\":173}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,4,98],[1,2,5],[1,5,28],[1,6,47],[2,4,57],[2,5,29],[4,5,59],[4,6,84],[5,6,55]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=5,(1,5)=28,(2,5)=29,(0,2)=36,(1,6)=47,(5,6)=55,(2,4)=57,(4,5)=59,(4,6)=84,(0,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=28 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6}, Find(2)=1, Find(5)=1, Add (2,5)=29 Failed, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6}, Find(0)=0, Find(2)=1, Add (0,2)=36 Succeeded, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=47 Succeeded, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=55 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=4, Add (2,4)=57 Succeeded, w=173\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=59 Failed, w=173\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=84 Failed, w=173\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=98 Failed, w=173\"],\"Answer\":173}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,28],[0,2,48],[0,3,11],[0,4,16],[0,5,91],[1,2,64],[1,4,27],[2,4,92],[2,5,3],[3,4,50],[3,5,39]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,2,48],[0,3,11],[0,4,16],[0,5,91],[1,2,64],[1,4,27],[2,4,92],[2,5,3],[3,4,50],[3,5,39]]}", "role": "user" }, { "content": "{\"Answer\":96}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,2,48],[0,3,11],[0,4,16],[0,5,91],[1,2,64],[1,4,27],[2,4,92],[2,5,3],[3,4,50],[3,5,39]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)\",\"Add (0,3)\",\"Add (0,4)\",\"Add (1,4)\",\"Add (3,5)\"],\"Answer\":96}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,2,48],[0,3,11],[0,4,16],[0,5,91],[1,2,64],[1,4,27],[2,4,92],[2,5,3],[3,4,50],[3,5,39]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=3, w=3\",\"Add (0,3)=11, w=14\",\"Add (0,4)=16, w=30\",\"Add (1,4)=27, w=57\",\"Add (3,5)=39, w=96\"],\"Answer\":96}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,2,48],[0,3,11],[0,4,16],[0,5,91],[1,2,64],[1,4,27],[2,4,92],[2,5,3],[3,4,50],[3,5,39]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (2,5)=3 Succeeded, w=3\",\"Add (0,3)=11 Succeeded, w=14\",\"Add (0,4)=16 Succeeded, w=30\",\"Add (1,4)=27 Succeeded, w=57\",\"Add (0,1)=28 Failed, w=57\",\"Add (3,5)=39 Succeeded, w=96\",\"Add (0,2)=48 Failed, w=96\",\"Add (3,4)=50 Failed, w=96\",\"Add (1,2)=64 Failed, w=96\",\"Add (0,5)=91 Failed, w=96\",\"Add (2,4)=92 Failed, w=96\"],\"Answer\":96}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,2,48],[0,3,11],[0,4,16],[0,5,91],[1,2,64],[1,4,27],[2,4,92],[2,5,3],[3,4,50],[3,5,39]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=3,(0,3)=11,(0,4)=16,(1,4)=27,(0,1)=28,(3,5)=39,(0,2)=48,(3,4)=50,(1,2)=64,(0,5)=91,(2,4)=92]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=3\",\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=14\",\"Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=30\",\"Find(1)=1, Find(4)=0, Add (1,4)=27 Succeeded, w=57\",\"Find(0)=0, Find(1)=0, Add (0,1)=28 Failed, w=57\",\"Find(3)=0, Find(5)=2, Add (3,5)=39 Succeeded, w=96\",\"Find(0)=0, Find(2)=0, Add (0,2)=48 Failed, w=96\",\"Find(3)=0, Find(4)=0, Add (3,4)=50 Failed, w=96\",\"Find(1)=0, Find(2)=0, Add (1,2)=64 Failed, w=96\",\"Find(0)=0, Find(5)=0, Add (0,5)=91 Failed, w=96\",\"Find(2)=0, Find(4)=0, Add (2,4)=92 Failed, w=96\"],\"Answer\":96}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,2,48],[0,3,11],[0,4,16],[0,5,91],[1,2,64],[1,4,27],[2,4,92],[2,5,3],[3,4,50],[3,5,39]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(2,5)=3,(0,3)=11,(0,4)=16,(1,4)=27,(0,1)=28,(3,5)=39,(0,2)=48,(3,4)=50,(1,2)=64,(0,5)=91,(2,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 2}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 2}, Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2}, Find(1)=1, Find(4)=0, Add (1,4)=27 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2}, Find(0)=0, Find(1)=0, Add (0,1)=28 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(3)=0, Find(5)=2, Add (3,5)=39 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(0)=0, Find(2)=0, Add (0,2)=48 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(3)=0, Find(4)=0, Add (3,4)=50 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(1)=0, Find(2)=0, Add (1,2)=64 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=91 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=92 Failed, w=96\"],\"Answer\":96}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,88],[0,2,40],[0,3,4],[0,4,4],[0,5,73],[1,5,49],[2,5,4],[3,4,42],[3,5,18],[4,5,76]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,40],[0,3,4],[0,4,4],[0,5,73],[1,5,49],[2,5,4],[3,4,42],[3,5,18],[4,5,76]]}", "role": "user" }, { "content": "{\"Answer\":79}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,40],[0,3,4],[0,4,4],[0,5,73],[1,5,49],[2,5,4],[3,4,42],[3,5,18],[4,5,76]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)\",\"Add (0,4)\",\"Add (2,5)\",\"Add (3,5)\",\"Add (1,5)\"],\"Answer\":79}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,40],[0,3,4],[0,4,4],[0,5,73],[1,5,49],[2,5,4],[3,4,42],[3,5,18],[4,5,76]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=4, w=4\",\"Add (0,4)=4, w=8\",\"Add (2,5)=4, w=12\",\"Add (3,5)=18, w=30\",\"Add (1,5)=49, w=79\"],\"Answer\":79}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,40],[0,3,4],[0,4,4],[0,5,73],[1,5,49],[2,5,4],[3,4,42],[3,5,18],[4,5,76]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,3)=4 Succeeded, w=4\",\"Add (0,4)=4 Succeeded, w=8\",\"Add (2,5)=4 Succeeded, w=12\",\"Add (3,5)=18 Succeeded, w=30\",\"Add (0,2)=40 Failed, w=30\",\"Add (3,4)=42 Failed, w=30\",\"Add (1,5)=49 Succeeded, w=79\",\"Add (0,5)=73 Failed, w=79\",\"Add (4,5)=76 Failed, w=79\",\"Add (0,1)=88 Failed, w=79\"],\"Answer\":79}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,40],[0,3,4],[0,4,4],[0,5,73],[1,5,49],[2,5,4],[3,4,42],[3,5,18],[4,5,76]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=4,(0,4)=4,(2,5)=4,(3,5)=18,(0,2)=40,(3,4)=42,(1,5)=49,(0,5)=73,(4,5)=76,(0,1)=88]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Find(0)=0, Find(4)=4, Add (0,4)=4 Succeeded, w=8\",\"Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=12\",\"Find(3)=0, Find(5)=2, Add (3,5)=18 Succeeded, w=30\",\"Find(0)=0, Find(2)=0, Add (0,2)=40 Failed, w=30\",\"Find(3)=0, Find(4)=0, Add (3,4)=42 Failed, w=30\",\"Find(1)=1, Find(5)=0, Add (1,5)=49 Succeeded, w=79\",\"Find(0)=0, Find(5)=0, Add (0,5)=73 Failed, w=79\",\"Find(4)=0, Find(5)=0, Add (4,5)=76 Failed, w=79\",\"Find(0)=0, Find(1)=0, Add (0,1)=88 Failed, w=79\"],\"Answer\":79}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,40],[0,3,4],[0,4,4],[0,5,73],[1,5,49],[2,5,4],[3,4,42],[3,5,18],[4,5,76]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,3)=4,(0,4)=4,(2,5)=4,(3,5)=18,(0,2)=40,(3,4)=42,(1,5)=49,(0,5)=73,(4,5)=76,(0,1)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=4 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 2}, Find(3)=0, Find(5)=2, Add (3,5)=18 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 2}, Find(0)=0, Find(2)=0, Add (0,2)=40 Failed, w=30\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 2}, Find(3)=0, Find(4)=0, Add (3,4)=42 Failed, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=49 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=73 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=76 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=88 Failed, w=79\"],\"Answer\":79}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,77],[0,3,97],[0,4,61],[0,7,43],[1,2,0],[1,4,94],[1,6,17],[1,7,10],[2,3,69],[3,5,8],[3,6,38],[3,7,15],[4,5,29],[4,6,19],[5,6,55]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,77],[0,3,97],[0,4,61],[0,7,43],[1,2,0],[1,4,94],[1,6,17],[1,7,10],[2,3,69],[3,5,8],[3,6,38],[3,7,15],[4,5,29],[4,6,19],[5,6,55]]}", "role": "user" }, { "content": "{\"Answer\":112}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,77],[0,3,97],[0,4,61],[0,7,43],[1,2,0],[1,4,94],[1,6,17],[1,7,10],[2,3,69],[3,5,8],[3,6,38],[3,7,15],[4,5,29],[4,6,19],[5,6,55]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (3,5)\",\"Add (1,7)\",\"Add (3,7)\",\"Add (1,6)\",\"Add (4,6)\",\"Add (0,7)\"],\"Answer\":112}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,77],[0,3,97],[0,4,61],[0,7,43],[1,2,0],[1,4,94],[1,6,17],[1,7,10],[2,3,69],[3,5,8],[3,6,38],[3,7,15],[4,5,29],[4,6,19],[5,6,55]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (3,5)=8, w=8\",\"Add (1,7)=10, w=18\",\"Add (3,7)=15, w=33\",\"Add (1,6)=17, w=50\",\"Add (4,6)=19, w=69\",\"Add (0,7)=43, w=112\"],\"Answer\":112}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,77],[0,3,97],[0,4,61],[0,7,43],[1,2,0],[1,4,94],[1,6,17],[1,7,10],[2,3,69],[3,5,8],[3,6,38],[3,7,15],[4,5,29],[4,6,19],[5,6,55]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (3,5)=8 Succeeded, w=8\",\"Add (1,7)=10 Succeeded, w=18\",\"Add (3,7)=15 Succeeded, w=33\",\"Add (1,6)=17 Succeeded, w=50\",\"Add (4,6)=19 Succeeded, w=69\",\"Add (4,5)=29 Failed, w=69\",\"Add (3,6)=38 Failed, w=69\",\"Add (0,7)=43 Succeeded, w=112\",\"Add (5,6)=55 Failed, w=112\",\"Add (0,4)=61 Failed, w=112\",\"Add (2,3)=69 Failed, w=112\",\"Add (0,2)=77 Failed, w=112\",\"Add (1,4)=94 Failed, w=112\",\"Add (0,3)=97 Failed, w=112\"],\"Answer\":112}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,77],[0,3,97],[0,4,61],[0,7,43],[1,2,0],[1,4,94],[1,6,17],[1,7,10],[2,3,69],[3,5,8],[3,6,38],[3,7,15],[4,5,29],[4,6,19],[5,6,55]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=0,(3,5)=8,(1,7)=10,(3,7)=15,(1,6)=17,(4,6)=19,(4,5)=29,(3,6)=38,(0,7)=43,(5,6)=55,(0,4)=61,(2,3)=69,(0,2)=77,(1,4)=94,(0,3)=97]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(3)=3, Find(5)=5, Add (3,5)=8 Succeeded, w=8\",\"Find(1)=1, Find(7)=7, Add (1,7)=10 Succeeded, w=18\",\"Find(3)=3, Find(7)=1, Add (3,7)=15 Succeeded, w=33\",\"Find(1)=3, Find(6)=6, Add (1,6)=17 Succeeded, w=50\",\"Find(4)=4, Find(6)=3, Add (4,6)=19 Succeeded, w=69\",\"Find(4)=3, Find(5)=3, Add (4,5)=29 Failed, w=69\",\"Find(3)=3, Find(6)=3, Add (3,6)=38 Failed, w=69\",\"Find(0)=0, Find(7)=3, Add (0,7)=43 Succeeded, w=112\",\"Find(5)=3, Find(6)=3, Add (5,6)=55 Failed, w=112\",\"Find(0)=3, Find(4)=3, Add (0,4)=61 Failed, w=112\",\"Find(2)=3, Find(3)=3, Add (2,3)=69 Failed, w=112\",\"Find(0)=3, Find(2)=3, Add (0,2)=77 Failed, w=112\",\"Find(1)=3, Find(4)=3, Add (1,4)=94 Failed, w=112\",\"Find(0)=3, Find(3)=3, Add (0,3)=97 Failed, w=112\"],\"Answer\":112}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,77],[0,3,97],[0,4,61],[0,7,43],[1,2,0],[1,4,94],[1,6,17],[1,7,10],[2,3,69],[3,5,8],[3,6,38],[3,7,15],[4,5,29],[4,6,19],[5,6,55]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=0,(3,5)=8,(1,7)=10,(3,7)=15,(1,6)=17,(4,6)=19,(4,5)=29,(3,6)=38,(0,7)=43,(5,6)=55,(0,4)=61,(2,3)=69,(0,2)=77,(1,4)=94,(0,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=10 Succeeded, w=18\",\"Parent: {0: 0, 1: 3, 2: 1, 3: 3, 4: 4, 5: 3, 6: 6, 7: 1}, Find(3)=3, Find(7)=1, Add (3,7)=15 Succeeded, w=33\",\"Parent: {0: 0, 1: 3, 2: 1, 3: 3, 4: 4, 5: 3, 6: 3, 7: 1}, Find(1)=3, Find(6)=6, Add (1,6)=17 Succeeded, w=50\",\"Parent: {0: 0, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3, 7: 1}, Find(4)=4, Find(6)=3, Add (4,6)=19 Succeeded, w=69\",\"Parent: {0: 0, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3, 7: 1}, Find(4)=3, Find(5)=3, Add (4,5)=29 Failed, w=69\",\"Parent: {0: 0, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3, 7: 1}, Find(3)=3, Find(6)=3, Add (3,6)=38 Failed, w=69\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=0, Find(7)=3, Add (0,7)=43 Succeeded, w=112\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=3, Add (5,6)=55 Failed, w=112\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=61 Failed, w=112\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=69 Failed, w=112\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(2)=3, Add (0,2)=77 Failed, w=112\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=94 Failed, w=112\",\"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)=97 Failed, w=112\"],\"Answer\":112}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,49],[1,3,39],[2,3,69]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[1,3,39],[2,3,69]]}", "role": "user" }, { "content": "{\"Answer\":157}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[1,3,39],[2,3,69]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":157}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[1,3,39],[2,3,69]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=39, w=39\",\"Add (0,1)=49, w=88\",\"Add (2,3)=69, w=157\"],\"Answer\":157}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[1,3,39],[2,3,69]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,3)=39 Succeeded, w=39\",\"Add (0,1)=49 Succeeded, w=88\",\"Add (2,3)=69 Succeeded, w=157\"],\"Answer\":157}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[1,3,39],[2,3,69]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=39,(0,1)=49,(2,3)=69]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=39 Succeeded, w=39\",\"Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=88\",\"Find(2)=2, Find(3)=1, Add (2,3)=69 Succeeded, w=157\"],\"Answer\":157}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[1,3,39],[2,3,69]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,3)=39,(0,1)=49,(2,3)=69]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=39 Succeeded, w=39\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=69 Succeeded, w=157\"],\"Answer\":157}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,26],[0,3,24],[0,4,32],[1,4,41],[1,5,10],[2,5,86],[3,5,90],[4,5,33]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,26],[0,3,24],[0,4,32],[1,4,41],[1,5,10],[2,5,86],[3,5,90],[4,5,33]]}", "role": "user" }, { "content": "{\"Answer\":125}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,26],[0,3,24],[0,4,32],[1,4,41],[1,5,10],[2,5,86],[3,5,90],[4,5,33]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (4,5)\"],\"Answer\":125}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,26],[0,3,24],[0,4,32],[1,4,41],[1,5,10],[2,5,86],[3,5,90],[4,5,33]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)=10, w=10\",\"Add (0,3)=24, w=34\",\"Add (0,2)=26, w=60\",\"Add (0,4)=32, w=92\",\"Add (4,5)=33, w=125\"],\"Answer\":125}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,26],[0,3,24],[0,4,32],[1,4,41],[1,5,10],[2,5,86],[3,5,90],[4,5,33]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,5)=10 Succeeded, w=10\",\"Add (0,3)=24 Succeeded, w=34\",\"Add (0,2)=26 Succeeded, w=60\",\"Add (0,4)=32 Succeeded, w=92\",\"Add (4,5)=33 Succeeded, w=125\",\"Add (1,4)=41 Failed, w=125\",\"Add (2,5)=86 Failed, w=125\",\"Add (3,5)=90 Failed, w=125\"],\"Answer\":125}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,26],[0,3,24],[0,4,32],[1,4,41],[1,5,10],[2,5,86],[3,5,90],[4,5,33]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,5)=10,(0,3)=24,(0,2)=26,(0,4)=32,(4,5)=33,(1,4)=41,(2,5)=86,(3,5)=90]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=10\",\"Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=34\",\"Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=60\",\"Find(0)=0, Find(4)=4, Add (0,4)=32 Succeeded, w=92\",\"Find(4)=0, Find(5)=1, Add (4,5)=33 Succeeded, w=125\",\"Find(1)=0, Find(4)=0, Add (1,4)=41 Failed, w=125\",\"Find(2)=0, Find(5)=0, Add (2,5)=86 Failed, w=125\",\"Find(3)=0, Find(5)=0, Add (3,5)=90 Failed, w=125\"],\"Answer\":125}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,26],[0,3,24],[0,4,32],[1,4,41],[1,5,10],[2,5,86],[3,5,90],[4,5,33]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,5)=10,(0,3)=24,(0,2)=26,(0,4)=32,(4,5)=33,(1,4)=41,(2,5)=86,(3,5)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 1}, Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 1}, Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 1}, Find(0)=0, Find(4)=4, Add (0,4)=32 Succeeded, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(4)=0, Find(5)=1, Add (4,5)=33 Succeeded, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(1)=0, Find(4)=0, Add (1,4)=41 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=86 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=90 Failed, w=125\"],\"Answer\":125}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,60],[0,3,77],[0,4,55],[0,5,7],[1,2,3],[1,3,92],[1,5,26],[2,3,26],[2,4,91],[2,5,84],[3,4,23],[3,5,23],[4,5,6]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,60],[0,3,77],[0,4,55],[0,5,7],[1,2,3],[1,3,92],[1,5,26],[2,3,26],[2,4,91],[2,5,84],[3,4,23],[3,5,23],[4,5,6]]}", "role": "user" }, { "content": "{\"Answer\":65}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,60],[0,3,77],[0,4,55],[0,5,7],[1,2,3],[1,3,92],[1,5,26],[2,3,26],[2,4,91],[2,5,84],[3,4,23],[3,5,23],[4,5,6]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (4,5)\",\"Add (0,5)\",\"Add (3,4)\",\"Add (1,5)\"],\"Answer\":65}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,60],[0,3,77],[0,4,55],[0,5,7],[1,2,3],[1,3,92],[1,5,26],[2,3,26],[2,4,91],[2,5,84],[3,4,23],[3,5,23],[4,5,6]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (4,5)=6, w=9\",\"Add (0,5)=7, w=16\",\"Add (3,4)=23, w=39\",\"Add (1,5)=26, w=65\"],\"Answer\":65}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,60],[0,3,77],[0,4,55],[0,5,7],[1,2,3],[1,3,92],[1,5,26],[2,3,26],[2,4,91],[2,5,84],[3,4,23],[3,5,23],[4,5,6]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (4,5)=6 Succeeded, w=9\",\"Add (0,5)=7 Succeeded, w=16\",\"Add (3,4)=23 Succeeded, w=39\",\"Add (3,5)=23 Failed, w=39\",\"Add (1,5)=26 Succeeded, w=65\",\"Add (2,3)=26 Failed, w=65\",\"Add (0,4)=55 Failed, w=65\",\"Add (0,2)=60 Failed, w=65\",\"Add (0,3)=77 Failed, w=65\",\"Add (2,5)=84 Failed, w=65\",\"Add (2,4)=91 Failed, w=65\",\"Add (1,3)=92 Failed, w=65\"],\"Answer\":65}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,60],[0,3,77],[0,4,55],[0,5,7],[1,2,3],[1,3,92],[1,5,26],[2,3,26],[2,4,91],[2,5,84],[3,4,23],[3,5,23],[4,5,6]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=3,(4,5)=6,(0,5)=7,(3,4)=23,(3,5)=23,(1,5)=26,(2,3)=26,(0,4)=55,(0,2)=60,(0,3)=77,(2,5)=84,(2,4)=91,(1,3)=92]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(4)=4, Find(5)=5, Add (4,5)=6 Succeeded, w=9\",\"Find(0)=0, Find(5)=4, Add (0,5)=7 Succeeded, w=16\",\"Find(3)=3, Find(4)=4, Add (3,4)=23 Succeeded, w=39\",\"Find(3)=4, Find(5)=4, Add (3,5)=23 Failed, w=39\",\"Find(1)=1, Find(5)=4, Add (1,5)=26 Succeeded, w=65\",\"Find(2)=1, Find(3)=1, Add (2,3)=26 Failed, w=65\",\"Find(0)=1, Find(4)=1, Add (0,4)=55 Failed, w=65\",\"Find(0)=1, Find(2)=1, Add (0,2)=60 Failed, w=65\",\"Find(0)=1, Find(3)=1, Add (0,3)=77 Failed, w=65\",\"Find(2)=1, Find(5)=1, Add (2,5)=84 Failed, w=65\",\"Find(2)=1, Find(4)=1, Add (2,4)=91 Failed, w=65\",\"Find(1)=1, Find(3)=1, Add (1,3)=92 Failed, w=65\"],\"Answer\":65}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,60],[0,3,77],[0,4,55],[0,5,7],[1,2,3],[1,3,92],[1,5,26],[2,3,26],[2,4,91],[2,5,84],[3,4,23],[3,5,23],[4,5,6]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=3,(4,5)=6,(0,5)=7,(3,4)=23,(3,5)=23,(1,5)=26,(2,3)=26,(0,4)=55,(0,2)=60,(0,3)=77,(2,5)=84,(2,4)=91,(1,3)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=6 Succeeded, w=9\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4}, Find(0)=0, Find(5)=4, Add (0,5)=7 Succeeded, w=16\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 4, 4: 4, 5: 4}, Find(3)=3, Find(4)=4, Add (3,4)=23 Succeeded, w=39\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 4, 4: 4, 5: 4}, Find(3)=4, Find(5)=4, Add (3,5)=23 Failed, w=39\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 4, 4: 1, 5: 4}, Find(1)=1, Find(5)=4, Add (1,5)=26 Succeeded, w=65\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(2)=1, Find(3)=1, Add (2,3)=26 Failed, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(0)=1, Find(4)=1, Add (0,4)=55 Failed, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(0)=1, Find(2)=1, Add (0,2)=60 Failed, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(0)=1, Find(3)=1, Add (0,3)=77 Failed, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=84 Failed, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=91 Failed, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=92 Failed, w=65\"],\"Answer\":65}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,40],[1,3,61]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[1,3,61]]}", "role": "user" }, { "content": "{\"Answer\":101}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[1,3,61]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":101}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[1,3,61]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=40, w=40\",\"Add (1,3)=61, w=101\"],\"Answer\":101}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[1,3,61]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,1)=40 Succeeded, w=40\",\"Add (1,3)=61 Succeeded, w=101\"],\"Answer\":101}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[1,3,61]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=40,(1,3)=61]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=40 Succeeded, w=40\",\"Find(1)=0, Find(3)=3, Add (1,3)=61 Succeeded, w=101\"],\"Answer\":101}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[1,3,61]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,1)=40,(1,3)=61]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=40 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(1)=0, Find(3)=3, Add (1,3)=61 Succeeded, w=101\"],\"Answer\":101}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,4,26],[0,5,90],[1,4,77],[1,5,75],[2,4,44],[3,5,38]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,26],[0,5,90],[1,4,77],[1,5,75],[2,4,44],[3,5,38]]}", "role": "user" }, { "content": "{\"Answer\":260}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,26],[0,5,90],[1,4,77],[1,5,75],[2,4,44],[3,5,38]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)\",\"Add (3,5)\",\"Add (2,4)\",\"Add (1,5)\",\"Add (1,4)\"],\"Answer\":260}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,26],[0,5,90],[1,4,77],[1,5,75],[2,4,44],[3,5,38]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)=26, w=26\",\"Add (3,5)=38, w=64\",\"Add (2,4)=44, w=108\",\"Add (1,5)=75, w=183\",\"Add (1,4)=77, w=260\"],\"Answer\":260}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,26],[0,5,90],[1,4,77],[1,5,75],[2,4,44],[3,5,38]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (0,4)=26 Succeeded, w=26\",\"Add (3,5)=38 Succeeded, w=64\",\"Add (2,4)=44 Succeeded, w=108\",\"Add (1,5)=75 Succeeded, w=183\",\"Add (1,4)=77 Succeeded, w=260\",\"Add (0,5)=90 Failed, w=260\"],\"Answer\":260}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,26],[0,5,90],[1,4,77],[1,5,75],[2,4,44],[3,5,38]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,4)=26,(3,5)=38,(2,4)=44,(1,5)=75,(1,4)=77,(0,5)=90]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=26\",\"Find(3)=3, Find(5)=5, Add (3,5)=38 Succeeded, w=64\",\"Find(2)=2, Find(4)=0, Add (2,4)=44 Succeeded, w=108\",\"Find(1)=1, Find(5)=3, Add (1,5)=75 Succeeded, w=183\",\"Find(1)=3, Find(4)=0, Add (1,4)=77 Succeeded, w=260\",\"Find(0)=3, Find(5)=3, Add (0,5)=90 Failed, w=260\"],\"Answer\":260}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,26],[0,5,90],[1,4,77],[1,5,75],[2,4,44],[3,5,38]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(0,4)=26,(3,5)=38,(2,4)=44,(1,5)=75,(1,4)=77,(0,5)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=38 Succeeded, w=64\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 3}, Find(2)=2, Find(4)=0, Add (2,4)=44 Succeeded, w=108\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 0, 5: 3}, Find(1)=1, Find(5)=3, Add (1,5)=75 Succeeded, w=183\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 0, 5: 3}, Find(1)=3, Find(4)=0, Add (1,4)=77 Succeeded, w=260\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 0, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=90 Failed, w=260\"],\"Answer\":260}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,82],[0,3,17],[0,4,58],[1,2,3],[1,3,38],[1,4,21],[1,5,54],[2,3,94],[2,4,84],[3,4,54],[3,5,22],[4,5,84]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,82],[0,3,17],[0,4,58],[1,2,3],[1,3,38],[1,4,21],[1,5,54],[2,3,94],[2,4,84],[3,4,54],[3,5,22],[4,5,84]]}", "role": "user" }, { "content": "{\"Answer\":101}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,82],[0,3,17],[0,4,58],[1,2,3],[1,3,38],[1,4,21],[1,5,54],[2,3,94],[2,4,84],[3,4,54],[3,5,22],[4,5,84]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (1,4)\",\"Add (3,5)\",\"Add (1,3)\"],\"Answer\":101}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,82],[0,3,17],[0,4,58],[1,2,3],[1,3,38],[1,4,21],[1,5,54],[2,3,94],[2,4,84],[3,4,54],[3,5,22],[4,5,84]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (0,3)=17, w=20\",\"Add (1,4)=21, w=41\",\"Add (3,5)=22, w=63\",\"Add (1,3)=38, w=101\"],\"Answer\":101}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,82],[0,3,17],[0,4,58],[1,2,3],[1,3,38],[1,4,21],[1,5,54],[2,3,94],[2,4,84],[3,4,54],[3,5,22],[4,5,84]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (0,3)=17 Succeeded, w=20\",\"Add (1,4)=21 Succeeded, w=41\",\"Add (3,5)=22 Succeeded, w=63\",\"Add (1,3)=38 Succeeded, w=101\",\"Add (1,5)=54 Failed, w=101\",\"Add (3,4)=54 Failed, w=101\",\"Add (0,4)=58 Failed, w=101\",\"Add (0,2)=82 Failed, w=101\",\"Add (2,4)=84 Failed, w=101\",\"Add (4,5)=84 Failed, w=101\",\"Add (2,3)=94 Failed, w=101\"],\"Answer\":101}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,82],[0,3,17],[0,4,58],[1,2,3],[1,3,38],[1,4,21],[1,5,54],[2,3,94],[2,4,84],[3,4,54],[3,5,22],[4,5,84]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=3,(0,3)=17,(1,4)=21,(3,5)=22,(1,3)=38,(1,5)=54,(3,4)=54,(0,4)=58,(0,2)=82,(2,4)=84,(4,5)=84,(2,3)=94]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=20\",\"Find(1)=1, Find(4)=4, Add (1,4)=21 Succeeded, w=41\",\"Find(3)=0, Find(5)=5, Add (3,5)=22 Succeeded, w=63\",\"Find(1)=1, Find(3)=0, Add (1,3)=38 Succeeded, w=101\",\"Find(1)=1, Find(5)=1, Add (1,5)=54 Failed, w=101\",\"Find(3)=1, Find(4)=1, Add (3,4)=54 Failed, w=101\",\"Find(0)=1, Find(4)=1, Add (0,4)=58 Failed, w=101\",\"Find(0)=1, Find(2)=1, Add (0,2)=82 Failed, w=101\",\"Find(2)=1, Find(4)=1, Add (2,4)=84 Failed, w=101\",\"Find(4)=1, Find(5)=1, Add (4,5)=84 Failed, w=101\",\"Find(2)=1, Find(3)=1, Add (2,3)=94 Failed, w=101\"],\"Answer\":101}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,82],[0,3,17],[0,4,58],[1,2,3],[1,3,38],[1,4,21],[1,5,54],[2,3,94],[2,4,84],[3,4,54],[3,5,22],[4,5,84]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,2)=3,(0,3)=17,(1,4)=21,(3,5)=22,(1,3)=38,(1,5)=54,(3,4)=54,(0,4)=58,(0,2)=82,(2,4)=84,(4,5)=84,(2,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=21 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 0}, Find(3)=0, Find(5)=5, Add (3,5)=22 Succeeded, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 0}, Find(1)=1, Find(3)=0, Add (1,3)=38 Succeeded, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=54 Failed, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=54 Failed, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=58 Failed, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=82 Failed, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=84 Failed, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=84 Failed, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=94 Failed, w=101\"],\"Answer\":101}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,27],[0,4,65],[0,5,95],[0,6,29],[1,2,38],[1,3,25],[1,4,1],[1,6,90],[2,4,35],[2,5,66],[2,6,35],[3,5,62],[5,6,35]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,4,65],[0,5,95],[0,6,29],[1,2,38],[1,3,25],[1,4,1],[1,6,90],[2,4,35],[2,5,66],[2,6,35],[3,5,62],[5,6,35]]}", "role": "user" }, { "content": "{\"Answer\":152}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,4,65],[0,5,95],[0,6,29],[1,2,38],[1,3,25],[1,4,1],[1,6,90],[2,4,35],[2,5,66],[2,6,35],[3,5,62],[5,6,35]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)\",\"Add (1,3)\",\"Add (0,1)\",\"Add (0,6)\",\"Add (2,4)\",\"Add (5,6)\"],\"Answer\":152}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,4,65],[0,5,95],[0,6,29],[1,2,38],[1,3,25],[1,4,1],[1,6,90],[2,4,35],[2,5,66],[2,6,35],[3,5,62],[5,6,35]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=1, w=1\",\"Add (1,3)=25, w=26\",\"Add (0,1)=27, w=53\",\"Add (0,6)=29, w=82\",\"Add (2,4)=35, w=117\",\"Add (5,6)=35, w=152\"],\"Answer\":152}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,4,65],[0,5,95],[0,6,29],[1,2,38],[1,3,25],[1,4,1],[1,6,90],[2,4,35],[2,5,66],[2,6,35],[3,5,62],[5,6,35]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (1,4)=1 Succeeded, w=1\",\"Add (1,3)=25 Succeeded, w=26\",\"Add (0,1)=27 Succeeded, w=53\",\"Add (0,6)=29 Succeeded, w=82\",\"Add (2,4)=35 Succeeded, w=117\",\"Add (2,6)=35 Failed, w=117\",\"Add (5,6)=35 Succeeded, w=152\",\"Add (1,2)=38 Failed, w=152\",\"Add (3,5)=62 Failed, w=152\",\"Add (0,4)=65 Failed, w=152\",\"Add (2,5)=66 Failed, w=152\",\"Add (1,6)=90 Failed, w=152\",\"Add (0,5)=95 Failed, w=152\"],\"Answer\":152}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,4,65],[0,5,95],[0,6,29],[1,2,38],[1,3,25],[1,4,1],[1,6,90],[2,4,35],[2,5,66],[2,6,35],[3,5,62],[5,6,35]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=1,(1,3)=25,(0,1)=27,(0,6)=29,(2,4)=35,(2,6)=35,(5,6)=35,(1,2)=38,(3,5)=62,(0,4)=65,(2,5)=66,(1,6)=90,(0,5)=95]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=25 Succeeded, w=26\",\"Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=53\",\"Find(0)=1, Find(6)=6, Add (0,6)=29 Succeeded, w=82\",\"Find(2)=2, Find(4)=1, Add (2,4)=35 Succeeded, w=117\",\"Find(2)=1, Find(6)=1, Add (2,6)=35 Failed, w=117\",\"Find(5)=5, Find(6)=1, Add (5,6)=35 Succeeded, w=152\",\"Find(1)=1, Find(2)=1, Add (1,2)=38 Failed, w=152\",\"Find(3)=1, Find(5)=1, Add (3,5)=62 Failed, w=152\",\"Find(0)=1, Find(4)=1, Add (0,4)=65 Failed, w=152\",\"Find(2)=1, Find(5)=1, Add (2,5)=66 Failed, w=152\",\"Find(1)=1, Find(6)=1, Add (1,6)=90 Failed, w=152\",\"Find(0)=1, Find(5)=1, Add (0,5)=95 Failed, w=152\"],\"Answer\":152}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,4,65],[0,5,95],[0,6,29],[1,2,38],[1,3,25],[1,4,1],[1,6,90],[2,4,35],[2,5,66],[2,6,35],[3,5,62],[5,6,35]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(1,4)=1,(1,3)=25,(0,1)=27,(0,6)=29,(2,4)=35,(2,6)=35,(5,6)=35,(1,2)=38,(3,5)=62,(0,4)=65,(2,5)=66,(1,6)=90,(0,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=25 Succeeded, w=26\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=53\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 1}, Find(0)=1, Find(6)=6, Add (0,6)=29 Succeeded, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(2)=2, Find(4)=1, Add (2,4)=35 Succeeded, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=35 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=5, Find(6)=1, Add (5,6)=35 Succeeded, w=152\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=38 Failed, w=152\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=62 Failed, w=152\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=65 Failed, w=152\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=66 Failed, w=152\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=90 Failed, w=152\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=95 Failed, w=152\"],\"Answer\":152}", "role": "assistant" } ]
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,50],[0,2,52],[0,3,49],[1,2,50],[1,3,20],[1,4,46],[2,3,40],[2,4,25],[3,4,6]]}	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,52],[0,3,49],[1,2,50],[1,3,20],[1,4,46],[2,3,40],[2,4,25],[3,4,6]]}", "role": "user" }, { "content": "{\"Answer\":100}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,52],[0,3,49],[1,2,50],[1,3,20],[1,4,46],[2,3,40],[2,4,25],[3,4,6]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (0,3)\"],\"Answer\":100}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,52],[0,3,49],[1,2,50],[1,3,20],[1,4,46],[2,3,40],[2,4,25],[3,4,6]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=6, w=6\",\"Add (1,3)=20, w=26\",\"Add (2,4)=25, w=51\",\"Add (0,3)=49, w=100\"],\"Answer\":100}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,52],[0,3,49],[1,2,50],[1,3,20],[1,4,46],[2,3,40],[2,4,25],[3,4,6]]}", "role": "user" }, { "content": "{\"Process\":[\"Add (3,4)=6 Succeeded, w=6\",\"Add (1,3)=20 Succeeded, w=26\",\"Add (2,4)=25 Succeeded, w=51\",\"Add (2,3)=40 Failed, w=51\",\"Add (1,4)=46 Failed, w=51\",\"Add (0,3)=49 Succeeded, w=100\",\"Add (0,1)=50 Failed, w=100\",\"Add (1,2)=50 Failed, w=100\",\"Add (0,2)=52 Failed, w=100\"],\"Answer\":100}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,52],[0,3,49],[1,2,50],[1,3,20],[1,4,46],[2,3,40],[2,4,25],[3,4,6]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=6,(1,3)=20,(2,4)=25,(2,3)=40,(1,4)=46,(0,3)=49,(0,1)=50,(1,2)=50,(0,2)=52]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=6\",\"Find(1)=1, Find(3)=3, Add (1,3)=20 Succeeded, w=26\",\"Find(2)=2, Find(4)=3, Add (2,4)=25 Succeeded, w=51\",\"Find(2)=3, Find(3)=3, Add (2,3)=40 Failed, w=51\",\"Find(1)=3, Find(4)=3, Add (1,4)=46 Failed, w=51\",\"Find(0)=0, Find(3)=3, Add (0,3)=49 Succeeded, w=100\",\"Find(0)=3, Find(1)=3, Add (0,1)=50 Failed, w=100\",\"Find(1)=3, Find(2)=3, Add (1,2)=50 Failed, w=100\",\"Find(0)=3, Find(2)=3, Add (0,2)=52 Failed, w=100\"],\"Answer\":100}", "role": "assistant" } ]	[ { "content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,52],[0,3,49],[1,2,50],[1,3,20],[1,4,46],[2,3,40],[2,4,25],[3,4,6]]}", "role": "user" }, { "content": "{\"Sorted Edges\":\"[(3,4)=6,(1,3)=20,(2,4)=25,(2,3)=40,(1,4)=46,(0,3)=49,(0,1)=50,(1,2)=50,(0,2)=52]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=20 Succeeded, w=26\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(4)=3, Add (2,4)=25 Succeeded, w=51\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(3)=3, Add (2,3)=40 Failed, w=51\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(4)=3, Add (1,4)=46 Failed, w=51\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=49 Succeeded, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(1)=3, Add (0,1)=50 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(2)=3, Add (1,2)=50 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(2)=3, Add (0,2)=52 Failed, w=100\"],\"Answer\":100}", "role": "assistant" } ]

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