diff --git "a/data/cycle/QA/Base/Vision_Text_train.json" "b/data/cycle/QA/Base/Vision_Text_train.json" --- "a/data/cycle/QA/Base/Vision_Text_train.json" +++ "b/data/cycle/QA/Base/Vision_Text_train.json" @@ -1,40182 +1,3 @@ -[ - { - "id": "cycle-easy-graph216", - "image": "data/cycle/graph_visual/Base/easy/graph216.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (5,2) (3,6) (1,0) (5,4) (3,1) (0,8) (6,7) (1,5) (0,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph78", - "image": "data/cycle/graph_visual/Base/easy/graph78.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (8,0) (2,5) (2,1) (4,6) (0,6) (7,4) (1,4) (3,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph74", - "image": "data/cycle/graph_visual/Base/easy/graph74.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (5,3) (7,1) (6,4) (4,8) (2,3) (1,0) (2,4) (1,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph70", - "image": "data/cycle/graph_visual/Base/easy/graph70.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (3,1) (0,7) (8,6) (6,2) (0,4) (8,0) (3,5) (0,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph210", - "image": "data/cycle/graph_visual/Base/easy/graph210.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (8,5) (4,0) (3,1) (8,2) (2,0) (4,3) (0,3) (7,4) (7,2) (0,1) (6,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph116", - "image": "data/cycle/graph_visual/Base/easy/graph116.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (6,0) (8,9) (5,1) (8,4) (2,3) (9,6) (6,2) (5,3) (4,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph31", - "image": "data/cycle/graph_visual/Base/easy/graph31.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (2,5) (4,1) (6,3) (0,4) (3,0) (7,5) (7,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph255", - "image": "data/cycle/graph_visual/Base/easy/graph255.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (2,9) (1,2) (1,0) (6,7) (4,7) (5,8) (0,3) (3,4) (0,5) (2,7) (4,0) (2,0) (5,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph29", - "image": "data/cycle/graph_visual/Base/easy/graph29.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (0,2) (6,0) (7,4) (5,3) (7,0) (1,6) (4,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph163", - "image": "data/cycle/graph_visual/Base/easy/graph163.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 6, and the edges are: (6,2) (0,5) (6,0) (0,2) (6,1) (4,0) (0,3) (0,1) (2,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph245", - "image": "data/cycle/graph_visual/Base/easy/graph245.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (4,1) (9,8) (0,3) (6,4) (0,4) (8,4) (0,5) (4,7) (0,2) (3,5) (0,1) (2,6) (7,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph233", - "image": "data/cycle/graph_visual/Base/easy/graph233.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (7,5) (7,3) (4,5) (6,3) (4,2) (1,8) (1,0) (1,5) (7,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph209", - "image": "data/cycle/graph_visual/Base/easy/graph209.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (7,3) (2,0) (6,2) (0,1) (0,3) (3,5) (2,8) (5,0) (2,3) (4,0) (2,4) (4,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph279", - "image": "data/cycle/graph_visual/Base/easy/graph279.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (0,4) (2,6) (5,3) (0,8) (0,1) (8,7) (0,9) (9,5) (6,0) (1,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph26", - "image": "data/cycle/graph_visual/Base/easy/graph26.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 6, and the edges are: (2,6) (4,3) (2,4) (1,6) (5,3) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph17", - "image": "data/cycle/graph_visual/Base/easy/graph17.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 6, and the edges are: (2,1) (1,4) (3,2) (4,0) (5,6) (4,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph284", - "image": "data/cycle/graph_visual/Base/easy/graph284.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (6,4) (7,6) (7,8) (3,0) (0,4) (4,9) (2,6) (8,5) (1,6) (1,0) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph11", - "image": "data/cycle/graph_visual/Base/easy/graph11.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 5, and the edges are: (3,4) (3,5) (1,0) (2,5) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph57", - "image": "data/cycle/graph_visual/Base/easy/graph57.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (2,5) (3,5) (0,7) (6,8) (3,4) (1,6) (0,8) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph278", - "image": "data/cycle/graph_visual/Base/easy/graph278.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (8,3) (0,1) (9,5) (2,5) (0,7) (3,0) (1,8) (2,0) (6,0) (5,6) (9,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph247", - "image": "data/cycle/graph_visual/Base/easy/graph247.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (0,4) (2,0) (7,4) (1,2) (0,3) (5,0) (0,1) (2,7) (2,9) (5,8) (1,5) (7,6) (4,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph219", - "image": "data/cycle/graph_visual/Base/easy/graph219.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (2,0) (4,8) (1,0) (3,2) (5,0) (5,3) (1,2) (6,4) (2,4) (0,3) (0,4) (7,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph201", - "image": "data/cycle/graph_visual/Base/easy/graph201.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (0,1) (2,6) (2,0) (5,3) (1,4) (4,7) (3,7) (6,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph203", - "image": "data/cycle/graph_visual/Base/easy/graph203.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (7,4) (0,6) (0,1) (8,5) (2,0) (2,8) (5,0) (2,3) (7,1) (0,4) (4,3) (0,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph179", - "image": "data/cycle/graph_visual/Base/easy/graph179.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (3,6) (4,5) (0,3) (3,7) (0,1) (0,4) (5,2) (5,0) (0,2) (1,7) (2,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph199", - "image": "data/cycle/graph_visual/Base/easy/graph199.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (5,1) (1,6) (7,0) (3,5) (0,1) (0,5) (2,1) (0,2) (4,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph101", - "image": "data/cycle/graph_visual/Base/easy/graph101.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (1,8) (5,3) (7,2) (7,6) (7,0) (8,6) (8,4) (9,0) (5,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph110", - "image": "data/cycle/graph_visual/Base/easy/graph110.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (9,1) (7,0) (2,7) (7,4) (3,4) (7,1) (8,6) (6,1) (5,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph10", - "image": "data/cycle/graph_visual/Base/easy/graph10.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 5, and the edges are: (0,3) (0,2) (1,2) (4,5) (3,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph166", - "image": "data/cycle/graph_visual/Base/easy/graph166.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 6, and the edges are: (2,0) (5,4) (4,3) (6,3) (6,0) (1,0) (5,0) (2,1) (3,0) (4,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph92", - "image": "data/cycle/graph_visual/Base/easy/graph92.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (4,7) (3,1) (8,5) (4,3) (2,7) (2,8) (6,8) (0,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph269", - "image": "data/cycle/graph_visual/Base/easy/graph269.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (2,0) (1,6) (6,5) (4,9) (0,4) (0,8) (8,2) (4,3) (7,2) (3,0) (0,1) (5,4) (4,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph125", - "image": "data/cycle/graph_visual/Base/easy/graph125.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (1,4) (3,6) (4,0) (7,9) (2,5) (7,4) (3,1) (5,3) (3,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph190", - "image": "data/cycle/graph_visual/Base/easy/graph190.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (3,4) (0,3) (1,2) (7,4) (2,6) (0,6) (4,0) (6,3) (2,0) (0,1) (5,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph167", - "image": "data/cycle/graph_visual/Base/easy/graph167.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 6, and the edges are: (4,0) (5,0) (6,1) (2,3) (0,6) (1,0) (6,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph276", - "image": "data/cycle/graph_visual/Base/easy/graph276.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (4,9) (0,2) (1,5) (9,1) (0,8) (1,0) (6,7) (8,6) (3,4) (2,7) (0,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph270", - "image": "data/cycle/graph_visual/Base/easy/graph270.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (6,2) (1,2) (7,2) (1,0) (7,9) (0,3) (3,2) (8,4) (2,0) (5,9) (3,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph257", - "image": "data/cycle/graph_visual/Base/easy/graph257.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (0,6) (9,2) (4,8) (4,0) (0,3) (7,5) (1,0) (4,1) (0,2) (0,5) (7,0) (8,7) (5,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph185", - "image": "data/cycle/graph_visual/Base/easy/graph185.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (2,0) (5,4) (5,0) (1,0) (2,7) (3,7) (0,3) (3,6) (1,7) (4,6) (0,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph176", - "image": "data/cycle/graph_visual/Base/easy/graph176.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 6, and the edges are: (3,6) (4,6) (1,0) (0,3) (2,0) (4,1) (6,5) (6,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph38", - "image": "data/cycle/graph_visual/Base/easy/graph38.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (2,4) (6,7) (7,3) (2,5) (4,3) (1,4) (0,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph162", - "image": "data/cycle/graph_visual/Base/easy/graph162.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 6, and the edges are: (0,4) (3,1) (1,0) (6,5) (0,2) (4,5) (5,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph281", - "image": "data/cycle/graph_visual/Base/easy/graph281.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (8,7) (1,9) (6,0) (0,1) (9,8) (7,5) (2,9) (1,3) (4,8) (2,0) (0,3) (5,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph265", - "image": "data/cycle/graph_visual/Base/easy/graph265.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (0,2) (0,4) (1,8) (0,6) (3,4) (2,1) (9,8) (1,5) (7,3) (3,2) (0,3) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph129", - "image": "data/cycle/graph_visual/Base/easy/graph129.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (1,9) (9,6) (5,3) (3,7) (3,2) (8,0) (4,3) (0,3) (6,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph37", - "image": "data/cycle/graph_visual/Base/easy/graph37.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (2,4) (2,3) (4,1) (5,6) (7,3) (1,5) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph173", - "image": "data/cycle/graph_visual/Base/easy/graph173.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 6, and the edges are: (2,5) (4,3) (0,1) (0,3) (2,4) (1,6) (1,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph241", - "image": "data/cycle/graph_visual/Base/easy/graph241.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (8,2) (3,6) (3,7) (4,3) (0,1) (6,1) (2,3) (6,0) (2,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph99", - "image": "data/cycle/graph_visual/Base/easy/graph99.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (2,7) (6,7) (1,5) (8,6) (1,9) (4,9) (8,0) (3,0) (3,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph254", - "image": "data/cycle/graph_visual/Base/easy/graph254.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (3,8) (0,4) (3,4) (5,9) (1,0) (0,6) (7,9) (8,1) (2,4) (0,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph242", - "image": "data/cycle/graph_visual/Base/easy/graph242.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (2,4) (2,0) (5,0) (3,0) (8,6) (0,1) (7,3) (6,4) (3,1) (3,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph54", - "image": "data/cycle/graph_visual/Base/easy/graph54.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (2,8) (2,7) (6,1) (0,7) (5,1) (3,5) (4,1) (2,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph253", - "image": "data/cycle/graph_visual/Base/easy/graph253.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (5,6) (0,5) (0,4) (1,4) (2,0) (4,8) (7,8) (3,0) (0,1) (0,6) (7,5) (9,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph285", - "image": "data/cycle/graph_visual/Base/easy/graph285.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (0,1) (7,3) (2,9) (1,3) (6,2) (8,1) (2,0) (0,3) (4,5) (2,5) (0,4) (4,7) (9,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph184", - "image": "data/cycle/graph_visual/Base/easy/graph184.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (3,1) (1,0) (5,0) (1,5) (0,2) (5,7) (5,2) (3,6) (6,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph197", - "image": "data/cycle/graph_visual/Base/easy/graph197.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (3,4) (7,3) (7,6) (1,0) (0,2) (3,0) (1,2) (3,5) (1,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph165", - "image": "data/cycle/graph_visual/Base/easy/graph165.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 6, and the edges are: (4,6) (5,3) (2,1) (0,1) (3,4) (0,2) (0,4) (0,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph189", - "image": "data/cycle/graph_visual/Base/easy/graph189.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (7,1) (0,6) (1,3) (5,4) (1,0) (0,4) (2,0) (7,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph264", - "image": "data/cycle/graph_visual/Base/easy/graph264.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (2,4) (3,0) (1,0) (1,7) (4,7) (9,3) (0,2) (5,0) (5,6) (4,0) (9,5) (2,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph115", - "image": "data/cycle/graph_visual/Base/easy/graph115.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (1,3) (0,8) (9,7) (2,0) (7,2) (3,6) (6,8) (9,5) (4,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph218", - "image": "data/cycle/graph_visual/Base/easy/graph218.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (6,0) (3,8) (7,4) (5,7) (5,6) (0,1) (1,4) (0,8) (0,3) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph46", - "image": "data/cycle/graph_visual/Base/easy/graph46.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (6,4) (3,4) (7,6) (5,3) (1,2) (0,3) (3,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph14", - "image": "data/cycle/graph_visual/Base/easy/graph14.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 6, and the edges are: (4,2) (1,0) (2,6) (5,3) (2,0) (0,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph144", - "image": "data/cycle/graph_visual/Base/easy/graph144.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (9,1) (9,7) (7,5) (3,7) (9,6) (2,0) (8,0) (0,3) (4,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph194", - "image": "data/cycle/graph_visual/Base/easy/graph194.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (4,7) (2,4) (4,3) (6,2) (5,0) (4,0) (2,0) (1,0) (1,7) (3,0) (5,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph205", - "image": "data/cycle/graph_visual/Base/easy/graph205.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (4,7) (5,7) (8,2) (7,6) (7,1) (0,1) (6,8) (2,0) (4,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph294", - "image": "data/cycle/graph_visual/Base/easy/graph294.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (5,0) (3,6) (3,1) (1,0) (3,7) (2,0) (9,8) (6,9) (4,2) (3,0) (4,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph230", - "image": "data/cycle/graph_visual/Base/easy/graph230.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (8,4) (1,0) (7,1) (7,5) (0,2) (2,5) (0,8) (6,2) (4,3) (6,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph169", - "image": "data/cycle/graph_visual/Base/easy/graph169.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 6, and the edges are: (2,0) (0,1) (0,6) (2,6) (4,0) (1,2) (0,3) (1,6) (2,3) (5,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph64", - "image": "data/cycle/graph_visual/Base/easy/graph64.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (1,7) (4,8) (4,3) (2,1) (3,0) (7,5) (5,6) (7,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph262", - "image": "data/cycle/graph_visual/Base/easy/graph262.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (6,4) (2,0) (9,0) (2,4) (6,7) (8,6) (1,0) (3,1) (0,3) (5,4) (9,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph109", - "image": "data/cycle/graph_visual/Base/easy/graph109.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (2,0) (1,3) (3,6) (9,7) (2,7) (4,3) (0,8) (8,6) (9,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph187", - "image": "data/cycle/graph_visual/Base/easy/graph187.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (4,6) (6,3) (0,1) (2,7) (1,7) (2,0) (5,0) (4,5) (7,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph18", - "image": "data/cycle/graph_visual/Base/easy/graph18.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 6, and the edges are: (6,3) (0,2) (6,0) (1,0) (4,3) (3,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph42", - "image": "data/cycle/graph_visual/Base/easy/graph42.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (3,1) (2,4) (4,6) (4,0) (0,1) (7,6) (5,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph69", - "image": "data/cycle/graph_visual/Base/easy/graph69.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (6,4) (4,2) (5,7) (5,2) (8,6) (3,2) (0,8) (1,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph20", - "image": "data/cycle/graph_visual/Base/easy/graph20.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 6, and the edges are: (3,0) (3,6) (6,4) (5,6) (6,1) (4,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph27", - "image": "data/cycle/graph_visual/Base/easy/graph27.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 6, and the edges are: (2,6) (5,6) (3,5) (0,4) (1,2) (4,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph15", - "image": "data/cycle/graph_visual/Base/easy/graph15.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 6, and the edges are: (0,6) (5,0) (4,0) (3,2) (1,6) (6,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph160", - "image": "data/cycle/graph_visual/Base/easy/graph160.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 5, and the edges are: (3,5) (5,0) (4,5) (2,5) (1,3) (2,0) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph127", - "image": "data/cycle/graph_visual/Base/easy/graph127.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (8,9) (1,0) (3,7) (1,4) (4,8) (6,4) (2,6) (7,4) (5,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph122", - "image": "data/cycle/graph_visual/Base/easy/graph122.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (1,4) (7,6) (8,3) (5,9) (2,8) (7,9) (6,3) (7,0) (9,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph232", - "image": "data/cycle/graph_visual/Base/easy/graph232.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (3,5) (1,0) (0,8) (3,4) (0,2) (0,3) (8,6) (0,7) (6,1) (2,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph182", - "image": "data/cycle/graph_visual/Base/easy/graph182.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (7,5) (6,2) (5,0) (7,1) (7,0) (4,0) (0,3) (7,3) (6,5) (0,2) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph87", - "image": "data/cycle/graph_visual/Base/easy/graph87.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (3,5) (2,3) (2,6) (0,4) (8,2) (3,7) (1,4) (2,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph177", - "image": "data/cycle/graph_visual/Base/easy/graph177.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 6, and the edges are: (6,3) (0,4) (2,0) (1,0) (2,1) (1,4) (5,0) (3,5) (0,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph111", - "image": "data/cycle/graph_visual/Base/easy/graph111.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (6,8) (5,7) (5,8) (5,4) (8,2) (6,1) (4,0) (3,6) (9,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph240", - "image": "data/cycle/graph_visual/Base/easy/graph240.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (1,2) (3,7) (3,0) (1,0) (8,1) (2,0) (6,2) (2,3) (6,0) (2,4) (5,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph102", - "image": "data/cycle/graph_visual/Base/easy/graph102.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (3,9) (7,9) (4,1) (0,6) (2,8) (5,8) (9,1) (4,8) (8,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph244", - "image": "data/cycle/graph_visual/Base/easy/graph244.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (0,6) (1,0) (6,3) (5,7) (0,2) (0,4) (7,8) (0,8) (7,4) (9,5) (0,3) (7,1) (2,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph208", - "image": "data/cycle/graph_visual/Base/easy/graph208.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (0,7) (4,0) (5,7) (2,8) (7,3) (0,3) (8,6) (0,1) (7,4) (0,2) (8,1) (2,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph53", - "image": "data/cycle/graph_visual/Base/easy/graph53.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (1,8) (4,7) (0,1) (1,4) (3,5) (3,4) (2,8) (4,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph2", - "image": "data/cycle/graph_visual/Base/easy/graph2.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 4, and the edges are: (1,0) (1,4) (3,1) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph32", - "image": "data/cycle/graph_visual/Base/easy/graph32.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (4,1) (0,7) (6,4) (3,1) (6,0) (3,2) (5,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph72", - "image": "data/cycle/graph_visual/Base/easy/graph72.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (8,3) (4,3) (5,7) (2,5) (0,8) (7,1) (1,0) (2,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph80", - "image": "data/cycle/graph_visual/Base/easy/graph80.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (6,8) (2,5) (0,8) (2,4) (3,2) (6,4) (7,5) (5,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph55", - "image": "data/cycle/graph_visual/Base/easy/graph55.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (4,0) (3,7) (1,4) (4,2) (5,2) (8,7) (6,7) (4,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph267", - "image": "data/cycle/graph_visual/Base/easy/graph267.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (0,2) (8,5) (9,8) (5,6) (2,4) (2,1) (0,1) (3,0) (5,7) (1,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph9", - "image": "data/cycle/graph_visual/Base/easy/graph9.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 5, and the edges are: (1,2) (4,2) (0,4) (3,5) (2,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph287", - "image": "data/cycle/graph_visual/Base/easy/graph287.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (6,7) (5,4) (0,4) (9,0) (6,4) (6,8) (0,1) (1,3) (5,0) (9,8) (4,2) (0,3) (0,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph89", - "image": "data/cycle/graph_visual/Base/easy/graph89.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (1,6) (6,8) (3,4) (7,0) (0,3) (8,4) (7,2) (1,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph22", - "image": "data/cycle/graph_visual/Base/easy/graph22.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 6, and the edges are: (2,5) (2,0) (1,5) (0,3) (4,6) (1,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph45", - "image": "data/cycle/graph_visual/Base/easy/graph45.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (7,4) (0,1) (2,6) (0,5) (7,6) (7,3) (0,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph295", - "image": "data/cycle/graph_visual/Base/easy/graph295.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (6,7) (5,1) (0,9) (4,0) (1,3) (0,1) (4,5) (5,0) (6,3) (5,2) (8,0) (0,3) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph195", - "image": "data/cycle/graph_visual/Base/easy/graph195.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (6,2) (6,0) (7,0) (5,3) (0,5) (0,3) (1,2) (0,2) (3,1) (4,0) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph75", - "image": "data/cycle/graph_visual/Base/easy/graph75.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (0,4) (0,1) (2,4) (8,7) (3,1) (6,5) (4,6) (8,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph73", - "image": "data/cycle/graph_visual/Base/easy/graph73.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (7,5) (5,2) (7,1) (0,8) (6,0) (6,2) (8,4) (4,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph6", - "image": "data/cycle/graph_visual/Base/easy/graph6.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 5, and the edges are: (1,3) (5,3) (5,0) (5,2) (4,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph225", - "image": "data/cycle/graph_visual/Base/easy/graph225.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (8,7) (0,2) (3,5) (3,7) (1,0) (6,3) (5,4) (3,0) (7,1) (1,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph130", - "image": "data/cycle/graph_visual/Base/easy/graph130.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (5,4) (0,1) (8,9) (9,0) (4,6) (3,1) (6,8) (7,6) (2,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph161", - "image": "data/cycle/graph_visual/Base/easy/graph161.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 5, and the edges are: (3,5) (1,0) (3,0) (3,4) (4,1) (2,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph273", - "image": "data/cycle/graph_visual/Base/easy/graph273.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (5,0) (5,9) (2,0) (0,1) (3,0) (8,2) (4,7) (3,9) (6,5) (1,7) (4,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph142", - "image": "data/cycle/graph_visual/Base/easy/graph142.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (4,0) (4,1) (3,6) (9,7) (5,2) (1,3) (4,7) (8,3) (5,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph97", - "image": "data/cycle/graph_visual/Base/easy/graph97.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (8,3) (0,1) (1,8) (4,8) (4,6) (5,0) (5,7) (2,0) (9,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph271", - "image": "data/cycle/graph_visual/Base/easy/graph271.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (0,2) (7,3) (3,5) (0,1) (0,3) (0,9) (4,8) (8,2) (7,1) (6,2) (5,0) (4,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph164", - "image": "data/cycle/graph_visual/Base/easy/graph164.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 6, and the edges are: (0,2) (0,1) (4,0) (6,1) (4,3) (4,2) (1,2) (3,0) (2,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph272", - "image": "data/cycle/graph_visual/Base/easy/graph272.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (7,8) (0,4) (2,0) (0,3) (4,6) (6,7) (8,5) (4,9) (1,0) (6,2) (1,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph251", - "image": "data/cycle/graph_visual/Base/easy/graph251.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (6,2) (7,5) (2,1) (0,3) (3,8) (1,0) (2,9) (2,0) (6,5) (3,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph171", - "image": "data/cycle/graph_visual/Base/easy/graph171.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 6, and the edges are: (6,0) (1,2) (6,2) (1,5) (2,0) (0,3) (0,1) (5,0) (4,0) (5,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph153", - "image": "data/cycle/graph_visual/Base/easy/graph153.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 4, and the edges are: (3,2) (3,1) (1,0) (3,0) (0,2) (4,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph157", - "image": "data/cycle/graph_visual/Base/easy/graph157.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 5, and the edges are: (1,5) (4,0) (5,0) (2,0) (1,4) (0,1) (2,4) (4,3) (3,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph48", - "image": "data/cycle/graph_visual/Base/easy/graph48.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (3,1) (1,4) (5,6) (2,0) (7,5) (2,3) (4,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph3", - "image": "data/cycle/graph_visual/Base/easy/graph3.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 4, and the edges are: (4,3) (2,1) (1,0) (3,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph180", - "image": "data/cycle/graph_visual/Base/easy/graph180.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (2,7) (0,1) (0,3) (3,6) (4,0) (6,7) (4,3) (6,0) (3,1) (5,0) (0,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph68", - "image": "data/cycle/graph_visual/Base/easy/graph68.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (5,2) (3,8) (6,5) (7,5) (3,0) (7,8) (0,1) (0,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph193", - "image": "data/cycle/graph_visual/Base/easy/graph193.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (3,4) (2,6) (0,3) (2,0) (1,3) (2,5) (0,1) (5,7) (7,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph288", - "image": "data/cycle/graph_visual/Base/easy/graph288.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (0,6) (4,7) (5,8) (9,7) (5,3) (1,0) (2,0) (0,4) (1,4) (0,5) (8,0) (7,3) (3,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph214", - "image": "data/cycle/graph_visual/Base/easy/graph214.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (8,5) (1,5) (3,2) (2,8) (7,8) (8,0) (0,2) (0,1) (6,4) (8,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph33", - "image": "data/cycle/graph_visual/Base/easy/graph33.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (2,4) (3,0) (1,2) (7,5) (1,5) (5,6) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph124", - "image": "data/cycle/graph_visual/Base/easy/graph124.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (5,3) (1,2) (6,8) (8,7) (2,9) (3,4) (4,7) (0,9) (8,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph105", - "image": "data/cycle/graph_visual/Base/easy/graph105.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (5,4) (7,3) (7,8) (1,2) (1,7) (7,9) (3,6) (5,3) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph47", - "image": "data/cycle/graph_visual/Base/easy/graph47.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (6,3) (0,6) (3,7) (6,1) (2,3) (2,5) (3,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph24", - "image": "data/cycle/graph_visual/Base/easy/graph24.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 6, and the edges are: (6,5) (4,2) (4,0) (2,1) (6,2) (3,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph152", - "image": "data/cycle/graph_visual/Base/easy/graph152.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 4, and the edges are: (1,0) (4,0) (3,0) (2,4) (0,2) (2,1) (4,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph7", - "image": "data/cycle/graph_visual/Base/easy/graph7.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 5, and the edges are: (0,3) (0,5) (0,2) (1,5) (4,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph61", - "image": "data/cycle/graph_visual/Base/easy/graph61.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (4,1) (8,0) (7,4) (5,7) (5,6) (8,3) (0,6) (0,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph200", - "image": "data/cycle/graph_visual/Base/easy/graph200.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (6,0) (2,7) (7,5) (0,2) (0,1) (7,1) (3,5) (4,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph23", - "image": "data/cycle/graph_visual/Base/easy/graph23.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 6, and the edges are: (3,1) (5,2) (3,5) (6,4) (5,6) (0,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph19", - "image": "data/cycle/graph_visual/Base/easy/graph19.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 6, and the edges are: (0,1) (5,1) (2,5) (0,3) (2,6) (1,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph192", - "image": "data/cycle/graph_visual/Base/easy/graph192.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (1,7) (5,4) (0,2) (3,2) (4,3) (1,4) (6,4) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph172", - "image": "data/cycle/graph_visual/Base/easy/graph172.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 6, and the edges are: (0,6) (4,2) (2,0) (1,5) (1,0) (1,3) (4,0) (1,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph84", - "image": "data/cycle/graph_visual/Base/easy/graph84.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (2,1) (4,8) (3,8) (4,5) (7,6) (1,6) (0,5) (5,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph94", - "image": "data/cycle/graph_visual/Base/easy/graph94.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (6,2) (5,4) (3,7) (0,5) (8,4) (5,3) (2,8) (1,7) (9,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph131", - "image": "data/cycle/graph_visual/Base/easy/graph131.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (6,8) (7,5) (7,3) (5,6) (7,1) (8,9) (6,2) (0,2) (4,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph229", - "image": "data/cycle/graph_visual/Base/easy/graph229.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (3,7) (1,0) (7,1) (5,2) (7,8) (2,3) (5,4) (6,3) (0,3) (0,2) (4,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph41", - "image": "data/cycle/graph_visual/Base/easy/graph41.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (3,2) (6,5) (2,4) (7,3) (0,1) (1,5) (1,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph50", - "image": "data/cycle/graph_visual/Base/easy/graph50.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (2,5) (6,1) (7,0) (4,3) (7,5) (3,2) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph280", - "image": "data/cycle/graph_visual/Base/easy/graph280.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (7,4) (5,4) (0,4) (1,0) (3,0) (1,9) (7,2) (1,6) (3,4) (7,0) (1,7) (6,8) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph226", - "image": "data/cycle/graph_visual/Base/easy/graph226.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (0,1) (1,2) (4,3) (8,7) (2,0) (1,7) (6,7) (5,7) (3,0) (1,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph96", - "image": "data/cycle/graph_visual/Base/easy/graph96.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (4,3) (8,4) (0,1) (6,3) (4,7) (1,9) (1,4) (2,9) (8,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph183", - "image": "data/cycle/graph_visual/Base/easy/graph183.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (2,1) (0,1) (6,3) (0,3) (2,0) (7,1) (5,4) (5,3) (7,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph215", - "image": "data/cycle/graph_visual/Base/easy/graph215.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (0,4) (2,8) (7,6) (2,0) (7,0) (3,0) (8,4) (1,8) (2,5) (0,1) (3,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph268", - "image": "data/cycle/graph_visual/Base/easy/graph268.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (0,5) (7,8) (1,0) (6,1) (9,4) (2,0) (0,4) (6,2) (5,8) (3,0) (7,6) (6,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph85", - "image": "data/cycle/graph_visual/Base/easy/graph85.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (4,5) (2,6) (3,6) (7,3) (4,7) (0,2) (8,7) (1,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph121", - "image": "data/cycle/graph_visual/Base/easy/graph121.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (3,6) (3,4) (0,1) (8,4) (1,4) (2,9) (8,5) (4,7) (9,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph88", - "image": "data/cycle/graph_visual/Base/easy/graph88.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (4,3) (8,2) (7,3) (6,3) (2,3) (1,6) (0,6) (2,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph228", - "image": "data/cycle/graph_visual/Base/easy/graph228.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (3,7) (2,3) (1,3) (1,0) (6,8) (3,0) (3,4) (0,2) (0,5) (7,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph82", - "image": "data/cycle/graph_visual/Base/easy/graph82.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (4,5) (6,3) (3,1) (2,4) (8,4) (7,1) (1,4) (7,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph107", - "image": "data/cycle/graph_visual/Base/easy/graph107.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (8,5) (8,0) (6,5) (7,3) (1,8) (2,0) (9,8) (1,4) (6,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph40", - "image": "data/cycle/graph_visual/Base/easy/graph40.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (3,1) (6,2) (2,0) (5,2) (3,4) (5,7) (4,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph35", - "image": "data/cycle/graph_visual/Base/easy/graph35.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (5,7) (4,3) (0,2) (7,1) (4,1) (7,6) (2,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph224", - "image": "data/cycle/graph_visual/Base/easy/graph224.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (0,1) (6,2) (7,8) (2,1) (4,7) (0,3) (6,7) (7,5) (0,4) (2,3) (0,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph222", - "image": "data/cycle/graph_visual/Base/easy/graph222.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (6,0) (3,8) (2,0) (7,4) (0,1) (1,4) (5,7) (8,0) (5,6) (0,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph13", - "image": "data/cycle/graph_visual/Base/easy/graph13.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 6, and the edges are: (0,6) (3,2) (6,1) (3,5) (0,3) (4,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph59", - "image": "data/cycle/graph_visual/Base/easy/graph59.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (4,3) (3,7) (5,2) (8,2) (3,2) (6,3) (1,6) (0,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph283", - "image": "data/cycle/graph_visual/Base/easy/graph283.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (9,5) (7,8) (4,0) (0,9) (0,6) (1,0) (3,5) (1,3) (0,3) (2,6) (2,0) (8,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph148", - "image": "data/cycle/graph_visual/Base/easy/graph148.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (4,7) (3,7) (1,4) (8,9) (0,1) (6,2) (4,6) (4,8) (5,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph104", - "image": "data/cycle/graph_visual/Base/easy/graph104.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (3,5) (3,4) (6,7) (7,3) (0,3) (0,8) (9,6) (2,3) (1,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph39", - "image": "data/cycle/graph_visual/Base/easy/graph39.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (3,2) (7,3) (4,2) (0,4) (1,4) (5,3) (6,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph62", - "image": "data/cycle/graph_visual/Base/easy/graph62.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (7,4) (3,8) (4,1) (5,2) (8,0) (6,0) (4,6) (2,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph86", - "image": "data/cycle/graph_visual/Base/easy/graph86.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (4,7) (1,3) (2,8) (2,0) (2,7) (6,8) (3,4) (5,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph223", - "image": "data/cycle/graph_visual/Base/easy/graph223.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (1,5) (4,8) (2,0) (1,0) (2,8) (6,3) (1,3) (7,4) (7,6) (0,3) (7,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph275", - "image": "data/cycle/graph_visual/Base/easy/graph275.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (2,0) (3,1) (9,2) (5,0) (0,6) (8,9) (8,4) (5,7) (9,1) (0,1) (8,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph95", - "image": "data/cycle/graph_visual/Base/easy/graph95.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (7,5) (1,3) (4,7) (6,9) (0,4) (8,2) (9,4) (8,1) (7,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph168", - "image": "data/cycle/graph_visual/Base/easy/graph168.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 6, and the edges are: (0,3) (4,5) (3,6) (1,5) (5,0) (0,2) (3,1) (1,2) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph119", - "image": "data/cycle/graph_visual/Base/easy/graph119.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (0,6) (4,8) (9,2) (8,7) (3,0) (5,7) (0,2) (5,6) (1,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph21", - "image": "data/cycle/graph_visual/Base/easy/graph21.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 6, and the edges are: (2,1) (3,5) (2,6) (3,4) (2,0) (1,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph120", - "image": "data/cycle/graph_visual/Base/easy/graph120.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (9,2) (5,2) (3,9) (2,8) (5,4) (6,1) (5,1) (1,7) (7,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph100", - "image": "data/cycle/graph_visual/Base/easy/graph100.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (7,1) (7,4) (7,2) (6,1) (9,1) (6,8) (5,4) (7,0) (3,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph274", - "image": "data/cycle/graph_visual/Base/easy/graph274.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (6,3) (6,1) (4,5) (1,0) (7,3) (8,9) (3,0) (0,2) (8,7) (4,7) (2,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph159", - "image": "data/cycle/graph_visual/Base/easy/graph159.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 5, and the edges are: (0,2) (4,5) (1,4) (0,1) (2,5) (3,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph213", - "image": "data/cycle/graph_visual/Base/easy/graph213.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (7,4) (1,0) (0,3) (5,4) (3,5) (2,1) (7,0) (8,2) (6,3) (0,2) (8,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph143", - "image": "data/cycle/graph_visual/Base/easy/graph143.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (7,5) (6,8) (2,8) (4,5) (4,0) (6,3) (6,1) (5,8) (6,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph114", - "image": "data/cycle/graph_visual/Base/easy/graph114.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (8,4) (1,8) (7,4) (3,6) (5,8) (2,0) (0,7) (9,3) (8,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph298", - "image": "data/cycle/graph_visual/Base/easy/graph298.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (9,7) (3,0) (6,8) (4,9) (9,1) (1,0) (5,8) (0,4) (3,2) (2,0) (4,5) (5,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph206", - "image": "data/cycle/graph_visual/Base/easy/graph206.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (1,3) (3,0) (3,7) (1,0) (3,6) (2,0) (4,2) (4,6) (6,8) (0,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph263", - "image": "data/cycle/graph_visual/Base/easy/graph263.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (3,9) (3,0) (2,8) (8,6) (5,1) (0,1) (5,2) (0,8) (4,7) (8,4) (8,3) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph155", - "image": "data/cycle/graph_visual/Base/easy/graph155.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 5, and the edges are: (3,4) (2,0) (0,3) (4,1) (5,2) (0,5) (0,1) (2,1) (0,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph52", - "image": "data/cycle/graph_visual/Base/easy/graph52.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (5,4) (0,8) (2,8) (6,5) (4,2) (7,8) (6,1) (3,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph137", - "image": "data/cycle/graph_visual/Base/easy/graph137.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (5,4) (7,9) (4,9) (6,7) (8,5) (1,6) (2,1) (5,0) (8,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph81", - "image": "data/cycle/graph_visual/Base/easy/graph81.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (5,2) (0,3) (7,3) (0,6) (8,1) (0,4) (5,8) (6,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph231", - "image": "data/cycle/graph_visual/Base/easy/graph231.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (1,0) (0,2) (2,1) (2,8) (3,0) (3,6) (5,4) (8,5) (5,3) (4,0) (4,7) (0,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph249", - "image": "data/cycle/graph_visual/Base/easy/graph249.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (3,1) (0,2) (6,2) (1,5) (3,7) (0,9) (4,3) (0,1) (4,2) (8,0) (7,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph66", - "image": "data/cycle/graph_visual/Base/easy/graph66.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (3,5) (1,8) (7,5) (1,4) (8,0) (6,4) (8,5) (1,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph238", - "image": "data/cycle/graph_visual/Base/easy/graph238.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (4,1) (0,8) (0,2) (8,7) (3,0) (6,4) (1,0) (5,2) (0,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph289", - "image": "data/cycle/graph_visual/Base/easy/graph289.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (9,6) (7,5) (2,7) (4,7) (8,2) (0,3) (0,1) (4,9) (0,4) (8,1) (2,0) (3,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph138", - "image": "data/cycle/graph_visual/Base/easy/graph138.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (4,1) (3,7) (8,0) (8,9) (8,5) (2,0) (6,3) (8,1) (5,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph90", - "image": "data/cycle/graph_visual/Base/easy/graph90.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (3,7) (0,2) (2,8) (1,6) (7,4) (4,5) (3,1) (2,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph156", - "image": "data/cycle/graph_visual/Base/easy/graph156.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 5, and the edges are: (0,1) (2,0) (5,2) (5,4) (0,4) (3,1) (0,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph235", - "image": "data/cycle/graph_visual/Base/easy/graph235.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (6,0) (1,2) (7,0) (1,5) (4,7) (6,2) (1,0) (0,8) (7,3) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph277", - "image": "data/cycle/graph_visual/Base/easy/graph277.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (4,5) (5,0) (0,2) (4,7) (2,4) (0,1) (6,7) (6,3) (9,0) (1,8) (1,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph28", - "image": "data/cycle/graph_visual/Base/easy/graph28.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 7, and the edges are: (0,5) (0,3) (1,3) (4,6) (2,4) (7,3) (3,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph211", - "image": "data/cycle/graph_visual/Base/easy/graph211.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (7,2) (1,7) (4,5) (0,3) (0,2) (0,4) (6,0) (0,1) (8,7) (3,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph239", - "image": "data/cycle/graph_visual/Base/easy/graph239.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (5,7) (0,3) (1,8) (6,5) (4,3) (2,0) (6,2) (0,1) (3,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph151", - "image": "data/cycle/graph_visual/Base/easy/graph151.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 4, and the edges are: (0,3) (1,4) (2,3) (0,2) (2,1) (1,0) (4,3) (4,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph79", - "image": "data/cycle/graph_visual/Base/easy/graph79.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 8, and the edges are: (6,8) (0,4) (3,4) (7,2) (5,6) (7,3) (1,5) (0,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph126", - "image": "data/cycle/graph_visual/Base/easy/graph126.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (3,6) (4,5) (7,5) (2,8) (6,1) (6,8) (4,0) (6,9) (5,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph117", - "image": "data/cycle/graph_visual/Base/easy/graph117.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (0,2) (4,2) (7,2) (2,9) (8,4) (2,6) (8,3) (7,1) (4,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-easy-graph258", - "image": "data/cycle/graph_visual/Base/easy/graph258.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (0,8) (0,3) (0,7) (3,4) (0,1) (2,4) (1,5) (0,2) (9,0) (4,0) (7,3) (2,6) (3,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-easy-graph296", - "image": "data/cycle/graph_visual/Base/easy/graph296.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 9, and the edges are: (1,0) (2,9) (2,6) (2,3) (1,4) (0,4) (5,3) (0,2) (7,3) (2,8) (4,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph771", - "image": "data/cycle/graph_visual/Base/medium/graph771.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (18,3) (13,1) (10,2) (12,15) (11,1) (4,1) (19,8) (2,7) (13,9) (15,14) (15,10) (22,13) (14,6) (0,18) (8,20) (16,15) (20,5) (21,16) (17,18) (11,7) (1,5) (0,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1146", - "image": "data/cycle/graph_visual/Base/medium/graph1146.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (7,4) (5,8) (2,5) (12,9) (0,1) (7,5) (8,3) (13,14) (6,10) (0,9) (3,0) (13,10) (4,6) (4,0) (2,0) (11,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph849", - "image": "data/cycle/graph_visual/Base/medium/graph849.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (15,16) (8,23) (2,6) (3,16) (19,9) (19,5) (11,18) (14,4) (24,4) (20,16) (17,1) (23,13) (14,13) (10,20) (14,21) (19,22) (0,21) (11,14) (19,2) (21,3) (12,9) (23,12) (1,20) (7,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph839", - "image": "data/cycle/graph_visual/Base/medium/graph839.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (22,17) (9,8) (15,16) (3,21) (6,5) (8,0) (10,20) (4,23) (22,19) (3,7) (22,10) (3,11) (8,12) (12,2) (15,2) (11,0) (17,18) (6,17) (14,20) (13,10) (16,19) (23,22) (4,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph252", - "image": "data/cycle/graph_visual/Base/medium/graph252.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (8,14) (1,8) (11,9) (3,5) (2,1) (8,0) (5,12) (6,14) (5,6) (9,4) (13,10) (7,9) (1,4) (13,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph403", - "image": "data/cycle/graph_visual/Base/medium/graph403.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (11,8) (4,13) (5,16) (9,12) (11,6) (10,11) (13,7) (1,12) (16,15) (8,2) (14,1) (12,7) (5,7) (12,0) (3,12) (0,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph47", - "image": "data/cycle/graph_visual/Base/medium/graph47.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (4,6) (0,9) (3,7) (9,6) (6,3) (2,4) (8,3) (0,10) (0,5) (1,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1569", - "image": "data/cycle/graph_visual/Base/medium/graph1569.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (14,15) (10,7) (21,15) (19,14) (6,0) (3,10) (18,8) (0,3) (21,7) (0,11) (9,1) (0,4) (13,0) (6,11) (16,17) (18,12) (20,3) (1,0) (17,1) (5,13) (5,0) (4,6) (0,2) (2,20) (8,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph478", - "image": "data/cycle/graph_visual/Base/medium/graph478.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (1,4) (17,2) (7,4) (5,12) (11,6) (15,12) (6,13) (9,14) (7,8) (4,5) (6,16) (17,6) (3,5) (13,10) (14,4) (4,6) (3,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1595", - "image": "data/cycle/graph_visual/Base/medium/graph1595.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (20,11) (7,1) (8,2) (18,3) (1,16) (16,21) (15,21) (15,13) (14,6) (10,2) (21,9) (11,17) (11,21) (19,8) (1,0) (3,10) (8,15) (5,13) (18,4) (12,21) (14,21) (0,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1204", - "image": "data/cycle/graph_visual/Base/medium/graph1204.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (12,14) (6,9) (4,2) (8,1) (8,6) (5,0) (7,14) (1,12) (13,0) (2,15) (11,4) (0,1) (3,0) (0,7) (10,12) (0,2) (3,9) (0,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1327", - "image": "data/cycle/graph_visual/Base/medium/graph1327.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (14,3) (5,16) (6,11) (14,13) (2,0) (0,16) (3,0) (5,10) (7,5) (5,17) (12,2) (0,9) (5,6) (0,1) (12,1) (4,9) (2,4) (15,14) (6,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph555", - "image": "data/cycle/graph_visual/Base/medium/graph555.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (15,9) (10,14) (0,17) (5,16) (12,11) (1,11) (13,12) (18,11) (5,0) (13,9) (7,16) (1,2) (12,19) (19,4) (10,15) (3,18) (19,16) (7,8) (0,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1432", - "image": "data/cycle/graph_visual/Base/medium/graph1432.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (13,7) (3,7) (18,8) (11,2) (18,17) (9,14) (0,4) (6,16) (0,18) (10,8) (12,16) (15,13) (10,2) (1,0) (5,15) (6,0) (3,11) (1,17) (9,17) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1545", - "image": "data/cycle/graph_visual/Base/medium/graph1545.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (8,11) (6,18) (17,4) (11,2) (9,10) (1,4) (18,7) (12,20) (6,0) (2,3) (8,15) (14,16) (18,14) (20,1) (2,17) (11,13) (1,0) (15,5) (8,9) (9,18) (19,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1275", - "image": "data/cycle/graph_visual/Base/medium/graph1275.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (1,0) (12,8) (15,7) (13,3) (3,0) (0,5) (1,8) (11,1) (5,9) (0,2) (6,0) (0,4) (9,1) (3,6) (15,10) (3,14) (6,16) (9,13) (16,10) (2,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1753", - "image": "data/cycle/graph_visual/Base/medium/graph1753.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (22,0) (3,0) (17,13) (6,23) (0,1) (2,15) (0,8) (23,20) (10,11) (4,21) (1,12) (11,21) (7,24) (23,13) (24,17) (8,9) (2,0) (18,15) (18,3) (4,14) (2,5) (6,15) (18,16) (24,10) (8,15) (19,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph155", - "image": "data/cycle/graph_visual/Base/medium/graph155.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (4,11) (12,9) (6,1) (7,12) (0,3) (0,1) (5,1) (8,10) (11,2) (2,5) (4,10) (4,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1217", - "image": "data/cycle/graph_visual/Base/medium/graph1217.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (2,0) (2,3) (12,9) (11,7) (1,4) (9,6) (15,1) (8,11) (2,4) (0,1) (10,14) (2,11) (5,15) (6,0) (15,13) (14,8) (8,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph517", - "image": "data/cycle/graph_visual/Base/medium/graph517.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (11,0) (0,16) (6,9) (13,18) (7,0) (13,3) (16,14) (16,5) (4,9) (5,1) (7,15) (6,15) (18,11) (13,17) (15,8) (12,5) (16,10) (2,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph128", - "image": "data/cycle/graph_visual/Base/medium/graph128.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (5,8) (10,7) (10,11) (4,1) (7,2) (2,12) (10,1) (7,3) (9,3) (6,7) (3,5) (0,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph663", - "image": "data/cycle/graph_visual/Base/medium/graph663.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (6,0) (20,6) (19,6) (19,4) (16,6) (13,6) (7,4) (11,20) (14,13) (12,5) (5,9) (17,4) (1,3) (10,7) (5,4) (3,17) (14,15) (8,19) (21,0) (18,12) (2,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph271", - "image": "data/cycle/graph_visual/Base/medium/graph271.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (11,14) (3,6) (7,3) (10,8) (9,5) (12,7) (4,8) (6,13) (5,7) (7,4) (2,7) (14,9) (14,0) (2,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph646", - "image": "data/cycle/graph_visual/Base/medium/graph646.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (15,11) (8,2) (12,9) (6,4) (1,15) (14,4) (15,14) (19,4) (11,5) (8,13) (16,3) (18,7) (8,20) (19,16) (19,0) (0,10) (7,17) (11,12) (20,14) (17,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1733", - "image": "data/cycle/graph_visual/Base/medium/graph1733.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (1,19) (21,3) (10,14) (15,17) (9,13) (3,0) (9,3) (8,5) (10,0) (15,7) (0,1) (18,9) (13,6) (23,8) (2,12) (20,22) (4,8) (0,15) (8,11) (2,16) (2,19) (20,1) (0,4) (2,0) (9,23) (4,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph217", - "image": "data/cycle/graph_visual/Base/medium/graph217.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (1,0) (3,9) (7,2) (8,9) (9,5) (4,5) (10,11) (1,12) (11,13) (11,4) (2,5) (8,12) (11,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph919", - "image": "data/cycle/graph_visual/Base/medium/graph919.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (3,4) (6,2) (1,8) (0,4) (7,8) (1,0) (8,9) (1,2) (5,6) (3,6) (0,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1364", - "image": "data/cycle/graph_visual/Base/medium/graph1364.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (2,0) (1,13) (4,17) (11,7) (0,13) (5,8) (9,17) (14,7) (15,0) (12,9) (16,2) (5,16) (3,7) (3,6) (10,12) (3,5) (0,1) (16,9) (0,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph958", - "image": "data/cycle/graph_visual/Base/medium/graph958.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (6,0) (8,4) (7,8) (2,10) (7,5) (1,4) (0,3) (2,9) (2,0) (1,0) (4,0) (6,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1702", - "image": "data/cycle/graph_visual/Base/medium/graph1702.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (6,19) (5,16) (16,7) (3,23) (14,7) (20,13) (18,12) (19,11) (10,15) (1,0) (3,0) (0,2) (0,23) (8,0) (12,3) (13,9) (11,12) (20,0) (4,18) (22,12) (5,21) (1,11) (1,2) (10,17) (9,15) (16,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1735", - "image": "data/cycle/graph_visual/Base/medium/graph1735.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (1,0) (21,23) (23,6) (15,16) (2,5) (10,11) (20,13) (17,22) (0,2) (3,18) (18,14) (0,4) (0,3) (15,6) (4,12) (10,0) (9,1) (18,23) (15,2) (13,17) (8,7) (17,21) (4,21) (8,0) (8,15) (11,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1745", - "image": "data/cycle/graph_visual/Base/medium/graph1745.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (9,21) (11,8) (2,0) (23,13) (22,10) (1,0) (0,3) (24,13) (22,5) (18,22) (11,19) (24,6) (14,19) (11,18) (24,17) (15,20) (16,0) (3,12) (1,2) (4,14) (0,21) (13,16) (4,7) (1,9) (17,19) (19,15) (14,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1718", - "image": "data/cycle/graph_visual/Base/medium/graph1718.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (2,5) (4,0) (16,17) (10,1) (3,18) (2,18) (17,11) (22,1) (5,15) (23,20) (21,8) (3,0) (3,14) (10,21) (2,0) (15,16) (13,8) (4,13) (20,19) (12,18) (0,1) (0,20) (16,6) (17,9) (7,18) (18,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1536", - "image": "data/cycle/graph_visual/Base/medium/graph1536.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (13,19) (14,6) (0,14) (2,3) (4,9) (5,9) (5,20) (12,16) (17,15) (18,19) (20,2) (0,15) (0,1) (1,7) (10,18) (17,9) (15,12) (0,7) (11,0) (10,5) (8,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1760", - "image": "data/cycle/graph_visual/Base/medium/graph1760.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (3,4) (17,1) (2,5) (17,8) (18,19) (0,21) (0,2) (13,20) (0,7) (11,15) (1,0) (0,23) (13,22) (8,3) (0,17) (11,14) (9,5) (23,14) (24,11) (0,3) (8,19) (9,16) (9,13) (13,6) (15,12) (10,21) (13,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph875", - "image": "data/cycle/graph_visual/Base/medium/graph875.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (17,5) (7,16) (1,18) (10,17) (4,11) (12,15) (13,0) (2,20) (6,20) (20,24) (2,15) (23,20) (19,6) (19,16) (23,18) (4,0) (3,24) (23,9) (19,0) (1,21) (8,17) (4,14) (8,6) (22,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1679", - "image": "data/cycle/graph_visual/Base/medium/graph1679.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (11,7) (8,17) (1,16) (6,17) (10,3) (1,0) (5,4) (14,21) (4,22) (0,19) (2,14) (5,16) (0,15) (9,21) (9,7) (0,3) (17,14) (13,12) (0,2) (21,4) (11,20) (18,19) (15,12) (9,10) (0,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph530", - "image": "data/cycle/graph_visual/Base/medium/graph530.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (11,10) (6,0) (8,11) (18,13) (14,9) (11,2) (2,17) (9,7) (17,4) (5,18) (6,18) (18,4) (16,15) (8,9) (15,3) (1,2) (15,8) (12,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1234", - "image": "data/cycle/graph_visual/Base/medium/graph1234.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (3,0) (9,13) (11,14) (14,4) (2,0) (3,5) (1,0) (12,10) (1,3) (13,7) (4,13) (8,14) (6,10) (4,0) (13,15) (5,2) (14,10) (2,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1357", - "image": "data/cycle/graph_visual/Base/medium/graph1357.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (6,1) (17,10) (12,10) (5,9) (11,2) (14,12) (3,4) (7,5) (0,2) (0,4) (3,0) (11,17) (15,16) (2,6) (13,12) (16,12) (2,8) (9,15) (9,4) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph783", - "image": "data/cycle/graph_visual/Base/medium/graph783.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (4,17) (21,0) (17,9) (0,1) (17,18) (15,18) (4,14) (9,16) (13,16) (2,10) (3,2) (4,0) (20,1) (1,6) (8,18) (19,1) (7,12) (16,23) (5,12) (11,18) (20,10) (20,7) (22,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph978", - "image": "data/cycle/graph_visual/Base/medium/graph978.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (0,10) (1,0) (10,9) (2,6) (2,0) (7,4) (1,5) (7,6) (8,11) (1,8) (3,0) (2,1) (4,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph79", - "image": "data/cycle/graph_visual/Base/medium/graph79.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (5,4) (10,5) (5,1) (7,9) (8,0) (2,8) (6,1) (6,11) (3,0) (6,0) (3,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph840", - "image": "data/cycle/graph_visual/Base/medium/graph840.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (6,14) (24,17) (20,15) (10,22) (19,24) (8,17) (9,16) (17,16) (21,4) (9,12) (6,7) (3,15) (7,20) (6,24) (22,18) (4,2) (5,13) (21,3) (17,11) (17,0) (23,16) (1,10) (22,13) (5,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1690", - "image": "data/cycle/graph_visual/Base/medium/graph1690.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (22,16) (21,13) (6,13) (9,10) (17,8) (7,0) (2,15) (23,4) (20,18) (3,15) (9,5) (10,21) (7,11) (14,0) (9,20) (11,1) (1,0) (14,12) (7,8) (4,21) (9,0) (23,22) (2,0) (15,13) (7,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph729", - "image": "data/cycle/graph_visual/Base/medium/graph729.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (10,7) (19,8) (15,21) (0,1) (6,4) (11,8) (3,21) (16,0) (0,2) (11,6) (11,0) (18,17) (10,3) (15,14) (18,13) (5,13) (20,14) (2,20) (7,9) (9,22) (12,1) (17,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph615", - "image": "data/cycle/graph_visual/Base/medium/graph615.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (18,1) (14,9) (18,11) (14,10) (3,5) (12,2) (5,12) (6,15) (7,6) (17,19) (4,5) (8,7) (6,19) (14,16) (2,0) (8,14) (12,6) (2,20) (11,15) (14,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph387", - "image": "data/cycle/graph_visual/Base/medium/graph387.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (11,6) (11,9) (2,13) (8,13) (9,5) (5,8) (12,7) (16,10) (4,9) (8,16) (7,0) (10,15) (3,0) (13,12) (1,16) (14,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1700", - "image": "data/cycle/graph_visual/Base/medium/graph1700.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (12,7) (21,23) (9,14) (21,16) (6,7) (3,1) (2,0) (6,20) (17,20) (5,19) (15,18) (13,15) (2,21) (3,10) (22,8) (10,16) (0,1) (10,11) (15,9) (8,6) (3,0) (14,8) (15,5) (0,5) (22,3) (14,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1437", - "image": "data/cycle/graph_visual/Base/medium/graph1437.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (4,18) (10,1) (15,6) (8,13) (2,15) (11,0) (18,0) (17,0) (11,3) (6,12) (1,11) (1,5) (1,0) (3,0) (2,16) (1,12) (0,2) (13,15) (17,9) (7,11) (14,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph857", - "image": "data/cycle/graph_visual/Base/medium/graph857.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (0,23) (8,15) (13,7) (14,17) (1,14) (16,7) (10,19) (24,22) (5,11) (14,10) (17,5) (11,21) (16,6) (4,23) (12,18) (21,18) (8,23) (9,3) (2,22) (19,3) (17,20) (24,23) (20,24) (13,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph668", - "image": "data/cycle/graph_visual/Base/medium/graph668.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (2,12) (17,15) (20,10) (8,9) (5,10) (14,12) (9,10) (13,0) (2,11) (0,16) (7,6) (20,0) (18,11) (3,5) (6,10) (16,21) (19,5) (1,15) (14,10) (17,4) (11,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph458", - "image": "data/cycle/graph_visual/Base/medium/graph458.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (10,11) (8,1) (6,17) (13,11) (6,1) (14,8) (15,17) (12,5) (2,14) (16,12) (9,5) (4,14) (2,3) (13,3) (0,4) (3,16) (14,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph285", - "image": "data/cycle/graph_visual/Base/medium/graph285.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (2,4) (4,14) (8,4) (3,6) (1,9) (7,13) (6,7) (1,0) (5,0) (0,7) (1,4) (11,5) (12,1) (10,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1062", - "image": "data/cycle/graph_visual/Base/medium/graph1062.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (4,1) (8,4) (2,11) (3,6) (1,0) (3,2) (5,1) (11,10) (2,0) (5,12) (7,11) (9,1) (0,3) (2,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1150", - "image": "data/cycle/graph_visual/Base/medium/graph1150.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (0,1) (4,7) (7,8) (1,13) (2,4) (3,9) (5,6) (0,2) (12,13) (0,12) (14,3) (10,3) (3,11) (9,8) (4,1) (3,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1503", - "image": "data/cycle/graph_visual/Base/medium/graph1503.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (16,0) (6,11) (19,8) (20,12) (15,13) (4,0) (4,5) (16,18) (19,17) (11,19) (9,1) (0,3) (17,13) (0,2) (7,3) (0,14) (4,14) (19,10) (1,2) (1,0) (11,18) (9,15) (3,14) (13,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph909", - "image": "data/cycle/graph_visual/Base/medium/graph909.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (2,10) (2,6) (9,7) (7,10) (2,0) (2,1) (9,5) (3,2) (0,1) (8,3) (4,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph815", - "image": "data/cycle/graph_visual/Base/medium/graph815.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (12,7) (17,18) (9,16) (23,16) (20,1) (1,19) (12,5) (4,14) (2,22) (0,1) (1,6) (18,15) (17,4) (18,8) (20,10) (0,4) (13,16) (2,3) (2,10) (21,0) (11,18) (7,20) (9,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph806", - "image": "data/cycle/graph_visual/Base/medium/graph806.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (3,21) (7,14) (18,22) (18,13) (23,11) (0,2) (3,19) (23,20) (23,16) (17,21) (5,20) (12,8) (15,4) (16,7) (4,23) (6,7) (1,13) (2,6) (9,3) (1,0) (7,8) (2,17) (10,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph215", - "image": "data/cycle/graph_visual/Base/medium/graph215.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (10,8) (4,7) (5,0) (4,3) (12,2) (6,2) (9,10) (10,5) (7,1) (6,0) (4,13) (11,8) (5,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1430", - "image": "data/cycle/graph_visual/Base/medium/graph1430.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (7,12) (5,18) (17,10) (3,12) (15,12) (17,1) (17,0) (12,1) (2,8) (5,7) (1,0) (13,6) (2,0) (7,16) (4,17) (11,8) (11,0) (11,14) (9,11) (12,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph357", - "image": "data/cycle/graph_visual/Base/medium/graph357.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (14,0) (5,4) (4,9) (4,7) (13,9) (15,0) (0,11) (11,8) (12,1) (10,2) (3,11) (3,13) (8,10) (10,6) (8,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph597", - "image": "data/cycle/graph_visual/Base/medium/graph597.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (4,9) (11,1) (15,19) (14,18) (16,7) (0,14) (4,2) (12,14) (7,3) (15,17) (12,6) (1,2) (16,0) (15,12) (7,4) (6,10) (13,6) (11,5) (8,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph772", - "image": "data/cycle/graph_visual/Base/medium/graph772.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (6,16) (11,17) (4,2) (9,12) (19,13) (4,21) (16,17) (10,1) (15,20) (22,10) (14,6) (22,18) (8,17) (6,7) (22,17) (13,5) (17,0) (16,9) (7,20) (15,3) (5,4) (21,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph468", - "image": "data/cycle/graph_visual/Base/medium/graph468.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (1,7) (9,4) (0,6) (0,15) (12,15) (14,17) (10,5) (11,0) (2,14) (8,0) (13,12) (10,16) (5,17) (3,2) (4,7) (9,15) (9,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1174", - "image": "data/cycle/graph_visual/Base/medium/graph1174.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (10,5) (12,4) (1,4) (8,14) (13,1) (3,0) (0,4) (10,8) (0,1) (6,3) (3,14) (13,7) (2,0) (5,12) (9,13) (11,8) (2,11) (5,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1576", - "image": "data/cycle/graph_visual/Base/medium/graph1576.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (6,9) (1,19) (14,0) (5,8) (9,4) (2,20) (10,21) (6,16) (14,2) (1,7) (2,12) (3,14) (9,18) (0,1) (21,7) (13,12) (11,2) (21,20) (15,21) (19,9) (8,15) (17,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1695", - "image": "data/cycle/graph_visual/Base/medium/graph1695.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (2,22) (0,19) (16,2) (1,0) (12,7) (13,6) (3,20) (15,21) (5,12) (14,0) (0,2) (1,22) (8,18) (23,9) (22,4) (9,18) (21,14) (4,17) (22,20) (23,3) (5,10) (3,0) (6,11) (5,6) (21,5) (14,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph188", - "image": "data/cycle/graph_visual/Base/medium/graph188.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (6,12) (8,5) (2,9) (0,6) (10,12) (4,12) (3,8) (7,9) (1,8) (12,13) (10,11) (12,9) (8,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph467", - "image": "data/cycle/graph_visual/Base/medium/graph467.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (11,0) (5,13) (14,2) (0,9) (6,11) (15,14) (0,1) (2,0) (16,8) (7,1) (1,13) (17,12) (10,3) (15,3) (17,10) (8,11) (4,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph284", - "image": "data/cycle/graph_visual/Base/medium/graph284.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (5,4) (0,8) (3,12) (12,8) (2,6) (0,11) (9,13) (14,5) (6,13) (13,7) (9,0) (1,3) (12,14) (12,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1350", - "image": "data/cycle/graph_visual/Base/medium/graph1350.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (1,4) (12,4) (12,17) (1,0) (6,14) (7,5) (0,16) (9,8) (3,10) (2,6) (3,9) (11,17) (11,5) (1,13) (7,0) (15,12) (13,8) (15,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1656", - "image": "data/cycle/graph_visual/Base/medium/graph1656.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (17,3) (1,0) (1,19) (14,3) (5,18) (19,11) (6,18) (3,8) (15,5) (10,4) (18,17) (1,16) (13,12) (2,11) (20,21) (4,5) (0,15) (21,19) (12,11) (22,3) (9,2) (3,12) (7,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1465", - "image": "data/cycle/graph_visual/Base/medium/graph1465.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (2,8) (6,3) (4,8) (10,18) (11,8) (10,11) (0,6) (3,0) (9,10) (5,0) (10,13) (4,0) (2,17) (16,19) (3,10) (12,14) (1,0) (13,5) (6,12) (11,7) (16,4) (2,0) (1,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph369", - "image": "data/cycle/graph_visual/Base/medium/graph369.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (16,4) (9,5) (6,5) (2,1) (0,15) (9,2) (1,12) (13,1) (4,13) (3,14) (10,12) (6,15) (14,6) (4,8) (7,2) (11,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1454", - "image": "data/cycle/graph_visual/Base/medium/graph1454.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (9,14) (3,5) (6,5) (17,1) (2,17) (0,14) (13,16) (10,16) (14,8) (12,6) (3,14) (1,0) (11,18) (14,7) (19,17) (18,5) (19,15) (9,4) (4,2) (15,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph165", - "image": "data/cycle/graph_visual/Base/medium/graph165.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (7,5) (7,8) (4,12) (1,8) (8,11) (9,3) (12,2) (2,3) (8,12) (10,9) (0,7) (7,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph375", - "image": "data/cycle/graph_visual/Base/medium/graph375.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (16,12) (0,2) (4,2) (0,6) (13,15) (8,6) (12,3) (6,14) (15,1) (7,0) (14,13) (12,2) (4,11) (10,8) (3,5) (6,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1011", - "image": "data/cycle/graph_visual/Base/medium/graph1011.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (9,2) (1,0) (8,0) (3,11) (2,0) (4,1) (9,7) (5,0) (0,3) (3,2) (3,1) (4,10) (5,8) (5,6) (4,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1026", - "image": "data/cycle/graph_visual/Base/medium/graph1026.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (10,7) (2,0) (5,3) (12,2) (7,6) (4,1) (5,8) (1,10) (0,1) (10,11) (7,3) (2,7) (9,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1344", - "image": "data/cycle/graph_visual/Base/medium/graph1344.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (1,0) (7,0) (16,1) (16,10) (12,17) (8,12) (16,15) (8,7) (9,17) (4,7) (3,5) (7,5) (13,14) (2,0) (11,12) (17,6) (10,11) (2,17) (14,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph159", - "image": "data/cycle/graph_visual/Base/medium/graph159.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (3,9) (7,6) (10,9) (8,7) (7,5) (3,2) (4,12) (8,1) (11,8) (0,7) (12,2) (8,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph658", - "image": "data/cycle/graph_visual/Base/medium/graph658.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (4,3) (4,17) (1,5) (15,20) (14,8) (9,17) (10,9) (13,1) (19,6) (15,13) (12,5) (16,18) (3,15) (8,5) (5,11) (7,16) (9,6) (0,4) (15,2) (18,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph506", - "image": "data/cycle/graph_visual/Base/medium/graph506.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (4,9) (16,8) (11,9) (13,17) (13,2) (3,0) (8,13) (17,5) (12,10) (7,0) (18,12) (3,15) (1,16) (14,8) (11,6) (16,10) (9,5) (7,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph852", - "image": "data/cycle/graph_visual/Base/medium/graph852.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (17,12) (15,3) (24,5) (1,4) (12,13) (8,3) (15,9) (0,22) (18,6) (3,6) (24,19) (20,16) (0,15) (12,20) (24,21) (10,24) (14,15) (0,23) (19,13) (7,2) (18,4) (14,11) (22,24) (2,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1601", - "image": "data/cycle/graph_visual/Base/medium/graph1601.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (1,11) (19,2) (4,19) (5,17) (14,6) (15,14) (1,0) (18,11) (8,4) (2,0) (1,8) (7,11) (14,21) (0,3) (11,13) (16,12) (16,0) (5,1) (20,5) (7,14) (10,15) (16,9) (0,4) (6,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1526", - "image": "data/cycle/graph_visual/Base/medium/graph1526.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (7,10) (3,0) (5,2) (14,4) (0,1) (19,2) (2,0) (13,18) (11,14) (1,3) (17,19) (16,10) (12,13) (5,3) (14,15) (17,14) (17,8) (18,16) (6,11) (10,17) (9,13) (20,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph495", - "image": "data/cycle/graph_visual/Base/medium/graph495.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (15,10) (4,0) (12,17) (5,0) (7,16) (3,18) (15,0) (13,9) (18,12) (9,14) (2,1) (8,10) (11,1) (7,6) (11,12) (13,12) (11,16) (5,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph979", - "image": "data/cycle/graph_visual/Base/medium/graph979.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (2,8) (0,9) (2,0) (0,3) (4,1) (6,1) (0,1) (11,9) (5,0) (2,9) (8,10) (7,3) (10,3) (9,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph869", - "image": "data/cycle/graph_visual/Base/medium/graph869.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (2,10) (14,15) (1,13) (12,13) (18,3) (10,15) (8,21) (5,1) (7,23) (8,20) (19,18) (16,22) (7,2) (11,23) (15,17) (6,0) (4,13) (1,11) (5,20) (16,15) (24,4) (1,9) (18,0) (14,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph289", - "image": "data/cycle/graph_visual/Base/medium/graph289.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (9,12) (12,10) (6,0) (12,6) (12,14) (1,8) (12,4) (5,8) (8,3) (4,8) (11,14) (2,9) (9,7) (13,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1494", - "image": "data/cycle/graph_visual/Base/medium/graph1494.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (11,16) (7,17) (10,0) (13,14) (3,0) (4,16) (3,7) (2,6) (5,14) (5,18) (12,1) (0,12) (10,19) (14,15) (10,13) (9,0) (5,8) (0,2) (4,19) (3,4) (0,1) (6,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph819", - "image": "data/cycle/graph_visual/Base/medium/graph819.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (5,2) (17,6) (18,12) (9,19) (14,0) (8,1) (11,0) (4,2) (17,3) (9,10) (12,20) (7,0) (6,8) (1,12) (23,19) (13,19) (15,20) (4,20) (0,2) (7,16) (16,22) (21,14) (19,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph105", - "image": "data/cycle/graph_visual/Base/medium/graph105.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (4,9) (8,1) (9,10) (9,7) (1,4) (8,5) (1,2) (6,5) (8,0) (6,11) (3,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1225", - "image": "data/cycle/graph_visual/Base/medium/graph1225.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (1,0) (7,12) (4,11) (5,4) (2,14) (8,1) (5,8) (7,5) (6,2) (9,0) (3,9) (13,4) (10,7) (13,0) (15,4) (6,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1449", - "image": "data/cycle/graph_visual/Base/medium/graph1449.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (6,3) (6,4) (10,3) (5,17) (18,2) (19,16) (8,12) (3,11) (13,17) (17,15) (12,2) (11,0) (1,0) (10,14) (9,10) (4,1) (7,8) (8,0) (16,15) (0,2) (19,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph531", - "image": "data/cycle/graph_visual/Base/medium/graph531.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (3,4) (11,17) (5,9) (6,2) (15,12) (17,16) (7,5) (8,2) (16,12) (12,10) (14,12) (9,15) (9,4) (10,13) (2,11) (0,2) (18,13) (1,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1143", - "image": "data/cycle/graph_visual/Base/medium/graph1143.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (14,11) (9,13) (8,12) (7,6) (11,0) (3,6) (9,3) (2,7) (11,5) (13,10) (7,14) (1,9) (0,1) (4,11) (1,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph277", - "image": "data/cycle/graph_visual/Base/medium/graph277.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (14,10) (7,14) (1,7) (4,10) (10,6) (0,3) (8,9) (11,2) (5,13) (7,12) (9,11) (9,4) (3,1) (5,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1617", - "image": "data/cycle/graph_visual/Base/medium/graph1617.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (15,9) (0,2) (2,10) (16,13) (8,19) (0,18) (3,11) (5,15) (18,8) (21,18) (16,14) (7,13) (1,17) (19,11) (17,9) (2,17) (20,6) (0,6) (0,1) (3,7) (12,20) (20,10) (0,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph182", - "image": "data/cycle/graph_visual/Base/medium/graph182.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (1,13) (9,2) (6,4) (5,13) (3,8) (2,10) (2,7) (12,10) (11,0) (10,1) (9,6) (3,2) (11,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph814", - "image": "data/cycle/graph_visual/Base/medium/graph814.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (20,5) (21,15) (5,4) (18,1) (23,0) (3,0) (17,5) (6,2) (2,7) (14,7) (3,5) (15,16) (9,21) (16,13) (18,0) (20,8) (11,5) (16,0) (19,8) (5,14) (10,9) (12,11) (15,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph26", - "image": "data/cycle/graph_visual/Base/medium/graph26.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (1,10) (4,2) (4,7) (1,0) (6,3) (7,6) (4,5) (8,1) (0,5) (9,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph71", - "image": "data/cycle/graph_visual/Base/medium/graph71.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (2,6) (1,10) (8,10) (0,11) (7,4) (5,9) (10,4) (10,3) (9,2) (5,1) (2,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph472", - "image": "data/cycle/graph_visual/Base/medium/graph472.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (15,9) (11,10) (16,8) (14,7) (14,1) (0,13) (11,2) (9,10) (12,15) (10,8) (13,4) (11,5) (6,3) (2,3) (5,1) (11,13) (17,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph171", - "image": "data/cycle/graph_visual/Base/medium/graph171.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (3,6) (6,12) (2,12) (0,4) (8,7) (6,1) (7,12) (8,9) (5,0) (6,10) (11,4) (7,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1440", - "image": "data/cycle/graph_visual/Base/medium/graph1440.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (1,12) (14,13) (4,19) (16,11) (19,10) (0,3) (10,6) (2,6) (0,1) (7,3) (8,5) (10,0) (13,10) (0,12) (15,14) (2,0) (4,3) (18,5) (16,4) (14,5) (7,17) (9,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1621", - "image": "data/cycle/graph_visual/Base/medium/graph1621.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (6,2) (16,18) (3,16) (0,2) (4,14) (11,14) (15,1) (13,14) (1,0) (21,0) (12,9) (21,7) (3,21) (14,20) (13,12) (17,11) (10,16) (19,5) (2,19) (21,19) (4,22) (9,19) (20,8) (1,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph146", - "image": "data/cycle/graph_visual/Base/medium/graph146.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (6,4) (6,8) (2,9) (4,11) (3,2) (8,3) (8,1) (7,12) (7,8) (5,8) (3,10) (0,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1199", - "image": "data/cycle/graph_visual/Base/medium/graph1199.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (0,3) (8,5) (13,6) (4,6) (12,1) (4,0) (13,11) (14,10) (6,8) (2,0) (14,2) (5,14) (9,0) (4,9) (1,0) (3,12) (4,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1456", - "image": "data/cycle/graph_visual/Base/medium/graph1456.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (0,1) (3,0) (12,9) (0,2) (6,18) (8,2) (7,0) (17,4) (13,14) (16,3) (6,11) (15,16) (10,9) (4,0) (17,6) (10,5) (14,0) (18,0) (2,16) (11,19) (3,13) (3,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1666", - "image": "data/cycle/graph_visual/Base/medium/graph1666.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (1,0) (4,3) (12,17) (7,17) (3,10) (9,11) (18,10) (3,0) (11,7) (18,20) (15,12) (19,2) (2,0) (19,21) (6,0) (14,18) (6,7) (17,16) (21,13) (1,22) (22,14) (8,14) (6,5) (21,7) (18,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph536", - "image": "data/cycle/graph_visual/Base/medium/graph536.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (5,1) (11,13) (5,14) (1,6) (1,9) (9,16) (2,0) (2,3) (8,6) (5,15) (18,5) (13,8) (13,7) (8,10) (14,4) (15,12) (14,17) (3,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph957", - "image": "data/cycle/graph_visual/Base/medium/graph957.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (3,8) (1,0) (8,2) (9,0) (8,1) (7,6) (7,0) (2,0) (8,4) (2,5) (10,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph627", - "image": "data/cycle/graph_visual/Base/medium/graph627.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (19,4) (11,4) (4,3) (10,14) (8,20) (16,10) (14,5) (7,12) (13,12) (17,6) (14,9) (6,13) (18,7) (1,9) (3,15) (2,16) (0,3) (20,12) (10,8) (19,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1586", - "image": "data/cycle/graph_visual/Base/medium/graph1586.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (2,21) (2,4) (12,0) (8,20) (1,0) (6,0) (3,0) (14,13) (20,18) (2,0) (13,20) (20,3) (16,8) (15,6) (12,9) (11,21) (4,19) (15,1) (6,14) (6,17) (3,5) (7,19) (10,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1770", - "image": "data/cycle/graph_visual/Base/medium/graph1770.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (2,12) (20,22) (20,1) (0,10) (19,1) (1,0) (2,4) (14,10) (18,9) (17,15) (0,3) (9,13) (3,9) (8,23) (21,3) (5,8) (11,8) (2,19) (13,6) (24,23) (16,2) (7,15) (8,4) (23,9) (15,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph296", - "image": "data/cycle/graph_visual/Base/medium/graph296.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (1,12) (9,3) (5,9) (7,13) (8,1) (13,14) (0,13) (5,1) (13,11) (6,8) (12,14) (10,4) (2,4) (14,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1484", - "image": "data/cycle/graph_visual/Base/medium/graph1484.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (5,16) (11,18) (16,12) (13,4) (9,15) (2,13) (5,1) (0,17) (7,0) (0,1) (5,14) (15,16) (9,8) (6,10) (0,11) (18,13) (13,3) (15,6) (2,19) (16,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1422", - "image": "data/cycle/graph_visual/Base/medium/graph1422.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (18,16) (14,13) (7,4) (17,12) (11,6) (17,14) (13,18) (5,14) (1,3) (2,10) (1,0) (11,17) (9,7) (18,8) (10,12) (6,3) (7,15) (7,18) (6,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1527", - "image": "data/cycle/graph_visual/Base/medium/graph1527.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (3,7) (16,5) (0,18) (1,0) (12,20) (12,10) (5,3) (9,13) (9,16) (7,11) (1,13) (3,6) (9,20) (16,2) (12,19) (8,5) (17,18) (4,17) (7,15) (0,2) (0,3) (14,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph184", - "image": "data/cycle/graph_visual/Base/medium/graph184.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (6,2) (5,10) (2,8) (1,13) (8,12) (0,9) (3,11) (2,5) (9,1) (4,7) (4,10) (13,2) (3,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1734", - "image": "data/cycle/graph_visual/Base/medium/graph1734.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (2,4) (23,1) (18,16) (0,14) (9,4) (17,2) (3,5) (1,0) (8,14) (16,15) (13,6) (3,14) (19,21) (17,7) (6,5) (1,20) (20,15) (22,20) (10,14) (22,17) (19,5) (9,14) (16,11) (12,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph70", - "image": "data/cycle/graph_visual/Base/medium/graph70.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (10,6) (11,6) (4,1) (10,7) (0,2) (4,5) (7,9) (7,8) (1,7) (9,2) (1,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph604", - "image": "data/cycle/graph_visual/Base/medium/graph604.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (13,7) (17,12) (5,3) (0,10) (16,9) (18,20) (7,12) (2,19) (1,16) (17,3) (3,18) (15,7) (20,14) (15,11) (20,8) (8,4) (11,19) (1,5) (6,11) (0,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph343", - "image": "data/cycle/graph_visual/Base/medium/graph343.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (2,13) (11,13) (9,14) (8,12) (9,4) (9,10) (4,3) (1,8) (6,11) (4,6) (12,0) (7,15) (15,12) (5,1) (3,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph441", - "image": "data/cycle/graph_visual/Base/medium/graph441.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (13,12) (9,4) (12,14) (11,17) (2,11) (7,5) (10,17) (4,3) (16,12) (1,6) (5,9) (9,15) (2,0) (12,10) (6,2) (8,2) (15,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1692", - "image": "data/cycle/graph_visual/Base/medium/graph1692.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (4,14) (3,0) (1,2) (6,4) (7,11) (3,10) (0,1) (15,19) (17,19) (8,21) (11,18) (14,3) (0,2) (1,9) (22,18) (22,5) (11,19) (16,0) (23,12) (14,19) (13,16) (13,17) (9,22) (0,21) (13,12) (20,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1177", - "image": "data/cycle/graph_visual/Base/medium/graph1177.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (4,2) (6,10) (13,14) (11,13) (3,5) (8,12) (1,8) (6,2) (5,1) (1,10) (9,5) (0,14) (0,9) (7,0) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1121", - "image": "data/cycle/graph_visual/Base/medium/graph1121.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (9,4) (1,0) (13,0) (2,6) (5,2) (1,13) (11,7) (5,11) (3,7) (2,12) (9,1) (1,10) (5,8) (6,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph548", - "image": "data/cycle/graph_visual/Base/medium/graph548.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (13,18) (7,2) (4,12) (7,19) (16,6) (14,1) (11,3) (13,17) (15,16) (1,2) (17,10) (6,1) (12,3) (1,8) (10,0) (9,2) (2,13) (11,18) (4,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph8", - "image": "data/cycle/graph_visual/Base/medium/graph8.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (5,2) (6,3) (0,8) (8,2) (8,7) (4,9) (5,1) (4,8) (3,8) (10,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1543", - "image": "data/cycle/graph_visual/Base/medium/graph1543.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (14,19) (7,20) (17,8) (0,3) (1,6) (11,9) (19,13) (3,18) (4,6) (11,12) (2,18) (15,1) (8,14) (6,5) (0,1) (13,9) (12,16) (6,14) (10,6) (0,20) (18,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph660", - "image": "data/cycle/graph_visual/Base/medium/graph660.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (0,5) (10,21) (16,14) (11,19) (21,7) (6,14) (17,8) (6,13) (11,20) (2,9) (9,10) (15,1) (10,12) (3,1) (15,18) (8,16) (17,15) (4,19) (4,17) (16,0) (12,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph207", - "image": "data/cycle/graph_visual/Base/medium/graph207.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (8,13) (7,12) (5,1) (4,5) (13,2) (11,7) (7,0) (8,1) (10,9) (11,3) (5,12) (3,10) (4,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph880", - "image": "data/cycle/graph_visual/Base/medium/graph880.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (1,0) (2,11) (11,7) (23,12) (13,12) (4,17) (19,8) (11,6) (14,3) (10,19) (7,20) (18,19) (20,14) (2,15) (17,19) (2,5) (2,9) (3,1) (17,24) (9,21) (13,0) (22,16) (15,10) (16,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph371", - "image": "data/cycle/graph_visual/Base/medium/graph371.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (1,10) (5,2) (2,15) (0,9) (7,8) (7,16) (11,15) (3,9) (12,1) (8,9) (10,14) (4,12) (1,7) (4,6) (13,14) (4,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph608", - "image": "data/cycle/graph_visual/Base/medium/graph608.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (2,17) (12,14) (19,12) (7,8) (10,7) (3,12) (7,6) (4,20) (20,11) (9,16) (13,8) (10,11) (2,14) (8,15) (5,16) (9,18) (1,19) (0,3) (3,8) (14,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1468", - "image": "data/cycle/graph_visual/Base/medium/graph1468.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (3,0) (1,5) (1,13) (13,15) (18,6) (5,12) (5,8) (3,16) (4,3) (0,2) (11,5) (0,5) (1,0) (9,10) (9,6) (3,19) (4,0) (7,16) (8,14) (15,2) (17,9) (15,18) (17,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph966", - "image": "data/cycle/graph_visual/Base/medium/graph966.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (9,3) (1,0) (11,1) (10,2) (2,4) (5,8) (11,10) (0,4) (11,7) (9,6) (0,2) (2,3) (2,8) (3,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1476", - "image": "data/cycle/graph_visual/Base/medium/graph1476.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (1,11) (3,0) (13,8) (13,6) (13,18) (17,7) (4,0) (17,10) (2,0) (6,0) (9,19) (7,19) (6,2) (0,1) (16,5) (14,1) (13,5) (12,4) (1,19) (15,16) (4,15) (6,3) (7,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1431", - "image": "data/cycle/graph_visual/Base/medium/graph1431.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (3,8) (15,10) (17,12) (16,7) (14,2) (18,11) (7,1) (15,9) (13,4) (12,3) (0,2) (11,17) (4,2) (7,5) (12,0) (1,0) (6,9) (1,9) (17,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1559", - "image": "data/cycle/graph_visual/Base/medium/graph1559.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (8,6) (1,12) (3,0) (19,9) (20,13) (11,19) (6,15) (2,14) (16,19) (20,12) (1,8) (0,20) (2,0) (7,0) (9,5) (10,0) (18,4) (2,4) (0,14) (12,17) (17,3) (7,16) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph574", - "image": "data/cycle/graph_visual/Base/medium/graph574.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (0,9) (19,10) (5,14) (14,12) (7,4) (6,4) (5,18) (8,7) (2,11) (2,7) (0,19) (19,1) (17,5) (15,3) (8,1) (3,11) (16,10) (1,13) (13,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1538", - "image": "data/cycle/graph_visual/Base/medium/graph1538.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (13,0) (15,10) (13,9) (4,3) (8,17) (12,11) (11,20) (8,16) (3,8) (7,0) (17,0) (13,6) (9,5) (1,0) (0,3) (11,13) (0,19) (2,5) (18,13) (0,2) (19,15) (1,17) (9,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph699", - "image": "data/cycle/graph_visual/Base/medium/graph699.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (2,11) (13,12) (5,2) (15,21) (10,19) (11,7) (9,17) (2,9) (0,1) (8,19) (2,15) (18,16) (17,4) (11,16) (12,19) (14,20) (14,3) (11,6) (3,1) (7,20) (13,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph168", - "image": "data/cycle/graph_visual/Base/medium/graph168.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (9,3) (7,3) (1,4) (10,7) (11,10) (3,5) (5,8) (2,12) (7,2) (1,10) (7,6) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph972", - "image": "data/cycle/graph_visual/Base/medium/graph972.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (0,3) (0,9) (9,10) (5,7) (5,2) (8,3) (4,7) (0,6) (8,5) (6,9) (11,4) (0,1) (0,4) (0,5) (0,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1154", - "image": "data/cycle/graph_visual/Base/medium/graph1154.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (8,9) (4,12) (0,4) (3,0) (1,13) (10,4) (12,8) (1,0) (3,11) (3,14) (6,11) (13,6) (2,0) (0,5) (14,8) (2,8) (7,10) (0,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1625", - "image": "data/cycle/graph_visual/Base/medium/graph1625.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (2,17) (19,13) (0,2) (11,18) (7,21) (10,2) (6,16) (1,6) (16,18) (4,0) (17,22) (8,20) (1,15) (1,0) (0,3) (7,2) (5,4) (14,3) (13,20) (2,1) (17,12) (1,9) (2,13) (0,10) (3,11) (4,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1140", - "image": "data/cycle/graph_visual/Base/medium/graph1140.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (0,3) (1,0) (1,3) (0,13) (7,14) (2,0) (6,11) (12,4) (4,11) (11,9) (4,1) (6,14) (3,5) (14,0) (13,2) (13,10) (10,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph662", - "image": "data/cycle/graph_visual/Base/medium/graph662.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (19,5) (21,18) (11,16) (5,13) (1,18) (19,6) (9,8) (17,1) (21,10) (0,1) (13,20) (6,15) (4,2) (11,2) (16,12) (2,3) (8,19) (7,5) (11,21) (9,14) (20,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph393", - "image": "data/cycle/graph_visual/Base/medium/graph393.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (10,7) (2,9) (15,10) (13,11) (0,16) (1,3) (11,4) (14,6) (15,14) (8,4) (1,15) (9,6) (16,8) (16,12) (12,14) (0,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1776", - "image": "data/cycle/graph_visual/Base/medium/graph1776.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (10,6) (18,24) (22,2) (0,14) (9,23) (4,0) (11,2) (24,23) (17,23) (22,16) (3,13) (18,0) (13,14) (3,16) (8,0) (21,12) (0,1) (19,20) (20,9) (16,15) (24,10) (5,17) (23,7) (12,3) (1,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph87", - "image": "data/cycle/graph_visual/Base/medium/graph87.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (6,0) (4,9) (9,6) (11,4) (10,8) (3,5) (2,6) (4,8) (3,2) (7,11) (1,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph414", - "image": "data/cycle/graph_visual/Base/medium/graph414.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (15,10) (2,7) (16,1) (14,15) (5,1) (10,2) (3,1) (0,6) (8,5) (13,4) (8,13) (16,7) (0,11) (15,9) (14,6) (12,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph411", - "image": "data/cycle/graph_visual/Base/medium/graph411.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (12,7) (0,3) (6,8) (11,10) (2,0) (14,7) (7,11) (14,9) (15,12) (2,16) (10,5) (13,3) (1,6) (13,14) (4,3) (6,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1115", - "image": "data/cycle/graph_visual/Base/medium/graph1115.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (6,4) (11,12) (7,5) (10,2) (6,3) (0,1) (3,0) (0,5) (1,5) (0,2) (10,1) (11,7) (9,1) (11,8) (6,12) (13,0) (4,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph974", - "image": "data/cycle/graph_visual/Base/medium/graph974.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (10,1) (1,0) (4,11) (2,7) (1,7) (7,11) (11,9) (0,4) (2,6) (5,8) (3,0) (5,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1152", - "image": "data/cycle/graph_visual/Base/medium/graph1152.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (12,6) (2,0) (11,10) (12,11) (8,2) (4,0) (5,10) (7,9) (3,0) (2,7) (1,7) (5,13) (1,12) (11,4) (9,14) (1,0) (5,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph422", - "image": "data/cycle/graph_visual/Base/medium/graph422.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (17,9) (9,14) (10,8) (8,6) (3,11) (4,0) (15,5) (15,13) (2,10) (6,17) (6,0) (0,16) (11,2) (1,17) (7,3) (12,16) (7,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph307", - "image": "data/cycle/graph_visual/Base/medium/graph307.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (9,2) (1,10) (12,5) (7,3) (5,14) (15,13) (1,11) (8,6) (4,13) (5,8) (13,5) (1,0) (5,0) (10,2) (3,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph706", - "image": "data/cycle/graph_visual/Base/medium/graph706.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (18,8) (10,7) (6,11) (15,21) (17,1) (0,11) (16,17) (14,15) (20,3) (13,5) (20,2) (3,10) (2,0) (18,12) (6,4) (7,21) (11,8) (0,13) (9,1) (19,14) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1247", - "image": "data/cycle/graph_visual/Base/medium/graph1247.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (0,1) (0,5) (9,5) (4,3) (8,6) (3,2) (0,2) (13,11) (10,15) (13,0) (2,12) (15,14) (7,3) (13,14) (8,10) (1,4) (4,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1585", - "image": "data/cycle/graph_visual/Base/medium/graph1585.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (12,4) (0,21) (12,0) (14,16) (2,0) (6,21) (10,4) (0,3) (17,7) (1,0) (19,20) (2,8) (11,13) (15,8) (21,19) (0,17) (11,9) (8,20) (19,14) (1,15) (15,11) (3,21) (7,18) (16,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1209", - "image": "data/cycle/graph_visual/Base/medium/graph1209.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (8,9) (13,8) (11,1) (4,12) (12,14) (15,5) (7,0) (3,10) (1,0) (3,0) (13,6) (4,1) (7,5) (2,0) (2,6) (9,3) (6,15) (12,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1541", - "image": "data/cycle/graph_visual/Base/medium/graph1541.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (8,10) (1,3) (15,13) (1,0) (19,3) (6,19) (14,17) (1,17) (13,7) (20,18) (8,15) (20,17) (9,18) (7,12) (16,2) (5,17) (5,11) (16,11) (4,3) (10,14) (14,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph469", - "image": "data/cycle/graph_visual/Base/medium/graph469.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (6,7) (8,10) (14,9) (13,16) (16,11) (10,13) (12,11) (9,4) (3,8) (8,17) (16,5) (8,4) (6,12) (3,2) (3,15) (1,16) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1726", - "image": "data/cycle/graph_visual/Base/medium/graph1726.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (20,22) (16,8) (1,0) (6,9) (1,15) (9,13) (19,17) (5,12) (0,2) (8,11) (8,10) (14,2) (7,21) (2,6) (0,20) (3,22) (5,7) (4,8) (15,2) (12,11) (23,2) (18,23) (18,20) (17,10) (7,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1784", - "image": "data/cycle/graph_visual/Base/medium/graph1784.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (13,0) (24,6) (20,18) (4,10) (21,7) (22,13) (18,14) (3,0) (9,24) (0,5) (20,16) (3,4) (10,15) (1,23) (21,8) (0,1) (10,19) (2,3) (8,12) (6,13) (2,23) (13,14) (4,11) (2,0) (21,5) (18,15) (3,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1098", - "image": "data/cycle/graph_visual/Base/medium/graph1098.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (5,13) (12,3) (8,11) (12,6) (1,11) (9,4) (2,0) (13,6) (2,4) (3,0) (5,10) (2,13) (9,7) (1,2) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1593", - "image": "data/cycle/graph_visual/Base/medium/graph1593.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (0,2) (5,8) (6,2) (7,3) (14,17) (20,9) (3,0) (6,10) (10,13) (20,7) (5,19) (1,0) (18,4) (10,0) (14,13) (0,15) (14,5) (4,19) (10,21) (16,12) (12,1) (3,4) (11,0) (16,21) (0,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1557", - "image": "data/cycle/graph_visual/Base/medium/graph1557.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (0,3) (0,2) (9,16) (12,14) (12,3) (3,8) (6,7) (1,0) (11,20) (2,14) (10,7) (13,8) (10,11) (9,18) (2,17) (20,4) (8,7) (8,15) (4,0) (19,12) (5,16) (9,14) (19,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph917", - "image": "data/cycle/graph_visual/Base/medium/graph917.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (3,8) (10,0) (3,7) (1,0) (1,3) (3,6) (0,9) (0,5) (6,9) (2,4) (6,4) (0,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1616", - "image": "data/cycle/graph_visual/Base/medium/graph1616.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (9,3) (9,15) (8,0) (20,8) (2,10) (7,14) (15,0) (6,11) (7,10) (19,13) (1,8) (0,16) (4,7) (4,17) (15,21) (1,0) (16,19) (21,18) (12,17) (6,5) (17,20) (6,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph415", - "image": "data/cycle/graph_visual/Base/medium/graph415.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (7,11) (14,13) (3,14) (15,11) (9,15) (8,3) (4,14) (0,10) (1,9) (12,5) (13,12) (16,0) (5,16) (6,4) (13,11) (1,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph67", - "image": "data/cycle/graph_visual/Base/medium/graph67.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (7,2) (6,7) (4,11) (11,10) (1,2) (4,3) (0,1) (1,5) (7,8) (2,10) (9,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1499", - "image": "data/cycle/graph_visual/Base/medium/graph1499.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (10,8) (4,19) (10,16) (14,9) (3,4) (10,14) (0,4) (7,12) (14,5) (16,2) (11,4) (1,0) (17,6) (3,0) (13,6) (18,7) (15,3) (8,19) (2,12) (0,2) (12,13) (1,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph181", - "image": "data/cycle/graph_visual/Base/medium/graph181.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (12,5) (9,1) (6,11) (10,8) (0,13) (11,10) (0,8) (13,7) (11,3) (5,4) (9,11) (4,2) (13,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph749", - "image": "data/cycle/graph_visual/Base/medium/graph749.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (13,6) (7,8) (8,17) (3,15) (11,7) (21,4) (1,11) (2,15) (5,9) (9,20) (18,20) (4,22) (10,21) (12,14) (7,0) (10,9) (14,0) (21,13) (7,19) (13,15) (22,16) (9,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph232", - "image": "data/cycle/graph_visual/Base/medium/graph232.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (13,12) (2,9) (4,2) (7,10) (0,1) (6,9) (8,11) (11,1) (2,10) (7,12) (2,3) (3,11) (8,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1414", - "image": "data/cycle/graph_visual/Base/medium/graph1414.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (1,16) (10,12) (13,8) (14,8) (9,4) (0,2) (13,2) (6,11) (0,3) (16,10) (18,12) (9,11) (5,9) (0,1) (5,17) (16,8) (7,0) (15,3) (17,13) (7,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph589", - "image": "data/cycle/graph_visual/Base/medium/graph589.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (15,9) (13,8) (14,9) (3,8) (7,8) (5,7) (9,17) (2,16) (3,12) (6,8) (0,3) (10,7) (2,14) (1,19) (19,11) (12,14) (11,10) (12,18) (16,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1747", - "image": "data/cycle/graph_visual/Base/medium/graph1747.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (3,0) (0,1) (16,4) (12,11) (5,11) (2,20) (4,24) (8,11) (4,0) (9,13) (17,12) (10,9) (16,18) (18,6) (8,3) (3,22) (19,0) (3,10) (2,0) (15,7) (0,14) (19,11) (18,21) (13,2) (23,4) (0,7) (24,0) (1,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph762", - "image": "data/cycle/graph_visual/Base/medium/graph762.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (8,15) (1,4) (18,10) (9,18) (6,0) (2,17) (18,12) (8,9) (13,9) (21,7) (11,2) (14,18) (19,11) (14,20) (1,22) (16,20) (8,11) (4,17) (6,15) (5,2) (15,21) (22,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph229", - "image": "data/cycle/graph_visual/Base/medium/graph229.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (4,8) (8,6) (2,10) (11,7) (9,13) (11,5) (8,12) (0,2) (13,12) (1,12) (12,2) (8,3) (0,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1285", - "image": "data/cycle/graph_visual/Base/medium/graph1285.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (9,1) (16,12) (15,0) (2,0) (3,0) (13,11) (14,7) (4,0) (14,16) (8,6) (9,13) (1,0) (0,7) (4,6) (12,10) (5,9) (3,2) (11,4) (8,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1797", - "image": "data/cycle/graph_visual/Base/medium/graph1797.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (10,13) (24,15) (22,3) (14,5) (4,19) (6,2) (21,4) (0,1) (0,10) (3,7) (17,0) (6,10) (0,11) (16,12) (14,13) (14,20) (23,7) (12,1) (20,9) (24,10) (22,16) (5,19) (8,5) (21,18) (2,0) (22,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph454", - "image": "data/cycle/graph_visual/Base/medium/graph454.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (1,10) (12,4) (9,13) (15,13) (17,1) (1,3) (14,0) (6,16) (11,5) (8,2) (14,11) (4,5) (8,11) (17,16) (1,0) (7,15) (13,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph121", - "image": "data/cycle/graph_visual/Base/medium/graph121.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (1,5) (3,6) (11,2) (5,12) (11,10) (4,2) (3,2) (11,7) (1,9) (4,8) (1,0) (4,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph747", - "image": "data/cycle/graph_visual/Base/medium/graph747.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (6,0) (4,20) (19,22) (0,12) (18,6) (17,10) (3,5) (14,6) (7,19) (9,12) (11,21) (21,20) (2,4) (20,17) (16,8) (20,3) (15,6) (22,8) (14,13) (15,1) (0,22) (2,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph466", - "image": "data/cycle/graph_visual/Base/medium/graph466.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (7,0) (11,5) (12,17) (8,9) (6,14) (16,0) (13,1) (15,12) (8,13) (7,5) (3,10) (11,17) (6,2) (4,1) (12,4) (3,9) (6,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1799", - "image": "data/cycle/graph_visual/Base/medium/graph1799.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (1,0) (18,13) (4,1) (0,4) (11,22) (8,17) (18,2) (8,23) (2,0) (7,8) (13,20) (5,7) (9,6) (0,16) (0,3) (2,9) (15,13) (0,5) (12,24) (16,5) (20,21) (20,14) (3,10) (10,0) (2,17) (11,17) (19,23) (15,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1584", - "image": "data/cycle/graph_visual/Base/medium/graph1584.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (2,14) (21,17) (7,19) (3,18) (17,5) (20,12) (6,7) (6,15) (0,16) (20,17) (7,1) (19,10) (17,8) (19,2) (4,11) (0,15) (13,18) (4,9) (1,0) (11,15) (8,18) (15,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph368", - "image": "data/cycle/graph_visual/Base/medium/graph368.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (16,8) (7,10) (0,8) (2,5) (6,14) (8,9) (1,13) (16,10) (13,2) (15,3) (4,11) (12,14) (3,0) (0,13) (1,12) (11,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph730", - "image": "data/cycle/graph_visual/Base/medium/graph730.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (3,13) (20,7) (9,5) (12,1) (22,10) (1,8) (20,3) (18,3) (21,18) (21,6) (18,9) (9,1) (19,16) (19,10) (18,17) (6,16) (15,13) (6,0) (11,15) (12,2) (14,8) (4,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph103", - "image": "data/cycle/graph_visual/Base/medium/graph103.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (5,9) (6,2) (2,4) (8,4) (5,11) (2,1) (1,10) (5,6) (9,3) (1,0) (11,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph532", - "image": "data/cycle/graph_visual/Base/medium/graph532.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (2,13) (16,9) (18,2) (6,15) (13,5) (14,15) (11,9) (7,8) (2,1) (17,3) (15,0) (1,9) (2,8) (8,4) (12,10) (0,10) (3,9) (0,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph623", - "image": "data/cycle/graph_visual/Base/medium/graph623.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (18,9) (17,13) (7,5) (15,7) (0,6) (7,10) (2,3) (17,12) (7,18) (18,14) (19,1) (11,8) (20,19) (14,19) (18,17) (14,6) (10,3) (16,19) (12,11) (4,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph24", - "image": "data/cycle/graph_visual/Base/medium/graph24.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (0,6) (9,3) (6,4) (3,7) (10,6) (1,5) (0,7) (5,7) (2,7) (4,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1368", - "image": "data/cycle/graph_visual/Base/medium/graph1368.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (0,12) (17,8) (3,4) (1,0) (9,10) (11,2) (14,7) (9,13) (3,8) (16,4) (16,15) (1,16) (0,6) (2,13) (11,5) (0,7) (10,3) (11,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1359", - "image": "data/cycle/graph_visual/Base/medium/graph1359.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (0,4) (10,2) (13,4) (12,15) (2,0) (7,17) (5,13) (14,2) (16,3) (1,0) (11,8) (3,0) (1,15) (5,17) (6,16) (5,0) (3,8) (5,16) (9,17) (1,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1215", - "image": "data/cycle/graph_visual/Base/medium/graph1215.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (15,7) (14,2) (1,15) (2,12) (6,9) (14,0) (4,9) (9,1) (2,9) (0,1) (2,11) (8,2) (6,13) (8,5) (12,10) (14,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1012", - "image": "data/cycle/graph_visual/Base/medium/graph1012.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (2,6) (8,3) (2,10) (0,3) (0,2) (4,0) (0,1) (8,7) (7,0) (8,1) (0,5) (9,0) (8,5) (9,11) (11,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph970", - "image": "data/cycle/graph_visual/Base/medium/graph970.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (0,3) (3,1) (7,0) (1,10) (10,0) (4,2) (2,0) (11,4) (0,1) (10,11) (6,7) (5,3) (9,0) (0,4) (8,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph86", - "image": "data/cycle/graph_visual/Base/medium/graph86.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (10,8) (4,7) (10,9) (8,5) (10,3) (3,0) (11,3) (1,7) (2,9) (6,0) (10,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph619", - "image": "data/cycle/graph_visual/Base/medium/graph619.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (10,20) (14,11) (15,6) (0,3) (17,12) (17,2) (20,6) (6,19) (8,5) (13,14) (19,4) (18,6) (5,12) (1,4) (19,3) (4,5) (4,7) (9,7) (4,16) (13,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph157", - "image": "data/cycle/graph_visual/Base/medium/graph157.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (6,8) (5,11) (2,12) (3,12) (4,0) (11,1) (9,0) (7,5) (1,10) (0,12) (8,12) (8,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph533", - "image": "data/cycle/graph_visual/Base/medium/graph533.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (11,7) (4,5) (10,4) (1,16) (15,5) (11,3) (9,2) (0,15) (1,17) (18,6) (18,12) (14,3) (5,18) (2,11) (8,3) (13,12) (17,3) (11,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1165", - "image": "data/cycle/graph_visual/Base/medium/graph1165.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (0,11) (5,14) (12,8) (0,8) (13,7) (5,4) (0,2) (6,13) (14,12) (6,2) (12,3) (0,9) (10,12) (13,9) (1,0) (1,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1551", - "image": "data/cycle/graph_visual/Base/medium/graph1551.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (16,5) (2,0) (3,0) (2,3) (19,2) (13,14) (10,4) (3,4) (20,8) (10,11) (13,17) (10,15) (18,14) (13,0) (4,1) (18,15) (18,12) (7,8) (6,20) (13,6) (3,9) (1,0) (0,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1082", - "image": "data/cycle/graph_visual/Base/medium/graph1082.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (11,4) (4,6) (8,2) (12,0) (8,3) (13,5) (7,5) (2,1) (9,4) (13,1) (0,10) (7,10) (1,0) (13,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1792", - "image": "data/cycle/graph_visual/Base/medium/graph1792.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (3,10) (11,5) (0,14) (9,13) (2,0) (12,17) (2,13) (1,16) (11,8) (3,22) (0,3) (1,0) (0,24) (2,20) (18,6) (19,0) (19,11) (23,4) (9,10) (7,0) (4,24) (21,18) (3,8) (7,15) (11,12) (16,18) (16,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1689", - "image": "data/cycle/graph_visual/Base/medium/graph1689.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (0,11) (22,6) (17,13) (8,13) (18,16) (19,1) (4,17) (11,10) (12,14) (20,17) (12,17) (1,0) (15,11) (0,23) (11,9) (22,19) (12,7) (12,1) (8,2) (12,3) (16,5) (18,0) (7,21) (7,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph843", - "image": "data/cycle/graph_visual/Base/medium/graph843.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (14,8) (6,7) (21,15) (12,17) (7,17) (3,4) (18,11) (24,9) (5,6) (20,17) (19,18) (7,24) (19,2) (24,18) (1,22) (6,0) (24,10) (23,19) (21,18) (3,10) (13,11) (7,14) (12,16) (21,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph761", - "image": "data/cycle/graph_visual/Base/medium/graph761.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (20,13) (6,12) (7,11) (11,10) (19,10) (18,0) (6,3) (1,17) (15,12) (8,4) (20,2) (3,10) (8,11) (8,2) (1,22) (21,10) (22,16) (9,10) (14,21) (4,16) (0,5) (13,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1415", - "image": "data/cycle/graph_visual/Base/medium/graph1415.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (0,3) (10,3) (1,15) (11,7) (5,13) (12,6) (10,11) (1,0) (6,3) (2,8) (14,12) (17,10) (2,0) (4,8) (18,4) (10,13) (16,2) (0,6) (4,0) (0,5) (10,9) (11,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph408", - "image": "data/cycle/graph_visual/Base/medium/graph408.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (5,2) (2,15) (11,10) (4,15) (1,0) (1,9) (15,8) (3,16) (3,13) (14,11) (6,15) (7,8) (12,4) (0,8) (0,10) (6,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1452", - "image": "data/cycle/graph_visual/Base/medium/graph1452.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (4,13) (0,5) (17,16) (1,0) (1,18) (9,17) (0,12) (1,15) (5,17) (8,2) (19,0) (3,6) (10,4) (2,0) (0,4) (11,15) (0,3) (14,2) (8,6) (19,3) (6,18) (16,7) (19,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph91", - "image": "data/cycle/graph_visual/Base/medium/graph91.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (3,11) (9,5) (2,5) (4,5) (1,9) (7,11) (4,11) (6,2) (8,10) (9,8) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1727", - "image": "data/cycle/graph_visual/Base/medium/graph1727.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (15,9) (0,15) (8,23) (18,6) (14,10) (0,2) (0,1) (23,22) (13,19) (11,15) (0,22) (15,3) (2,5) (2,8) (20,12) (4,1) (16,20) (12,13) (21,14) (12,17) (19,0) (18,4) (8,14) (7,3) (3,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1208", - "image": "data/cycle/graph_visual/Base/medium/graph1208.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (1,13) (4,8) (3,14) (15,0) (2,0) (5,6) (10,1) (9,5) (0,3) (2,1) (13,15) (12,6) (9,2) (2,7) (0,1) (12,4) (6,14) (11,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1618", - "image": "data/cycle/graph_visual/Base/medium/graph1618.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (3,14) (2,5) (8,9) (4,6) (13,1) (4,21) (11,15) (18,16) (10,1) (17,4) (16,15) (6,2) (7,15) (16,1) (0,19) (19,11) (0,12) (9,7) (20,10) (0,17) (1,0) (10,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1381", - "image": "data/cycle/graph_visual/Base/medium/graph1381.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (15,11) (6,7) (2,5) (2,0) (18,12) (16,11) (5,14) (1,18) (4,12) (5,3) (13,14) (6,15) (14,9) (14,10) (8,7) (17,6) (14,8) (3,0) (6,12) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph335", - "image": "data/cycle/graph_visual/Base/medium/graph335.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (5,7) (11,0) (12,0) (12,7) (8,2) (1,12) (11,8) (7,13) (11,10) (11,6) (14,1) (3,12) (13,4) (15,5) (9,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1620", - "image": "data/cycle/graph_visual/Base/medium/graph1620.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (14,8) (20,7) (19,16) (13,15) (1,9) (20,3) (0,6) (1,0) (15,11) (9,18) (12,2) (21,6) (4,0) (16,6) (18,21) (18,3) (13,3) (19,10) (1,8) (22,10) (12,1) (18,17) (9,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph695", - "image": "data/cycle/graph_visual/Base/medium/graph695.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (10,8) (1,3) (19,2) (4,14) (1,6) (16,19) (4,21) (17,9) (12,14) (7,11) (11,13) (20,17) (14,18) (5,3) (13,15) (10,16) (18,13) (17,14) (10,17) (5,2) (21,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph790", - "image": "data/cycle/graph_visual/Base/medium/graph790.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (8,10) (9,13) (16,18) (6,11) (22,0) (15,6) (14,17) (4,3) (1,19) (19,0) (3,14) (21,14) (3,12) (5,10) (23,22) (16,8) (9,5) (16,19) (14,5) (7,10) (3,11) (16,2) (8,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1007", - "image": "data/cycle/graph_visual/Base/medium/graph1007.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (1,6) (2,3) (9,10) (0,2) (8,3) (3,0) (1,0) (4,0) (0,11) (7,2) (11,10) (3,6) (2,10) (9,4) (5,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph617", - "image": "data/cycle/graph_visual/Base/medium/graph617.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (12,8) (7,18) (2,10) (1,12) (9,17) (5,20) (0,17) (4,14) (19,4) (12,18) (6,5) (11,12) (0,7) (15,9) (18,13) (8,16) (10,5) (0,14) (10,4) (7,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph433", - "image": "data/cycle/graph_visual/Base/medium/graph433.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (3,7) (3,13) (15,0) (11,12) (4,9) (11,6) (3,12) (1,17) (10,12) (5,1) (11,16) (14,5) (11,2) (2,8) (5,4) (3,17) (3,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph723", - "image": "data/cycle/graph_visual/Base/medium/graph723.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (4,0) (0,19) (8,15) (1,17) (19,6) (5,17) (16,19) (4,10) (20,21) (16,7) (13,4) (18,16) (20,6) (0,12) (3,20) (2,14) (17,9) (8,6) (3,22) (20,2) (18,1) (15,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph558", - "image": "data/cycle/graph_visual/Base/medium/graph558.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (19,15) (14,0) (11,5) (0,16) (7,3) (17,15) (13,6) (4,2) (4,9) (16,7) (4,7) (6,12) (15,12) (12,8) (2,1) (6,10) (14,12) (14,18) (1,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1194", - "image": "data/cycle/graph_visual/Base/medium/graph1194.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (0,2) (10,5) (6,3) (1,0) (14,8) (4,12) (7,13) (11,2) (11,8) (4,0) (5,12) (4,1) (9,13) (1,13) (10,8) (3,0) (3,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph848", - "image": "data/cycle/graph_visual/Base/medium/graph848.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (22,9) (21,16) (7,13) (18,0) (16,22) (7,17) (3,7) (17,4) (8,3) (2,16) (1,13) (14,9) (24,12) (0,15) (3,5) (5,10) (18,19) (23,9) (24,5) (6,22) (12,11) (20,12) (22,20) (0,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph97", - "image": "data/cycle/graph_visual/Base/medium/graph97.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (6,7) (3,6) (4,5) (10,4) (7,1) (4,8) (0,5) (9,1) (0,1) (11,7) (4,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph666", - "image": "data/cycle/graph_visual/Base/medium/graph666.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (20,11) (4,7) (10,7) (4,5) (17,3) (0,6) (3,1) (6,19) (2,4) (13,14) (5,9) (6,16) (21,0) (19,8) (5,12) (4,17) (20,6) (6,13) (4,19) (14,15) (12,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph731", - "image": "data/cycle/graph_visual/Base/medium/graph731.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (16,11) (13,19) (6,15) (8,4) (15,14) (16,19) (20,22) (18,0) (16,17) (7,3) (9,21) (10,18) (7,20) (8,17) (2,20) (5,1) (14,9) (21,20) (5,12) (21,10) (15,16) (5,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph997", - "image": "data/cycle/graph_visual/Base/medium/graph997.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (10,2) (9,11) (8,5) (2,0) (3,0) (1,0) (4,11) (0,4) (7,8) (7,0) (2,6) (8,1) (3,8) (9,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1263", - "image": "data/cycle/graph_visual/Base/medium/graph1263.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (10,14) (1,0) (7,3) (3,4) (7,15) (5,8) (9,0) (0,10) (5,14) (12,0) (4,13) (16,14) (2,6) (4,5) (0,2) (16,11) (12,1) (6,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1560", - "image": "data/cycle/graph_visual/Base/medium/graph1560.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (17,12) (20,7) (20,8) (0,2) (6,5) (16,1) (14,8) (0,4) (1,6) (3,18) (11,12) (18,2) (1,0) (6,4) (6,10) (21,15) (9,11) (15,0) (19,13) (19,14) (9,13) (9,18) (0,3) (14,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1781", - "image": "data/cycle/graph_visual/Base/medium/graph1781.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (19,21) (21,3) (12,0) (15,1) (21,6) (2,8) (0,2) (20,22) (19,22) (13,12) (1,0) (4,19) (16,5) (24,14) (11,16) (21,0) (11,15) (10,4) (14,4) (17,7) (0,3) (11,9) (20,8) (18,14) (23,7) (15,8) (0,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1190", - "image": "data/cycle/graph_visual/Base/medium/graph1190.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (3,2) (2,0) (13,1) (1,0) (10,3) (11,8) (5,0) (13,12) (6,8) (5,8) (3,13) (4,8) (4,0) (0,3) (13,9) (7,2) (14,4) (13,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph566", - "image": "data/cycle/graph_visual/Base/medium/graph566.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (10,9) (14,0) (3,8) (4,16) (6,18) (15,7) (12,0) (18,17) (16,1) (7,0) (3,10) (8,19) (2,13) (2,11) (11,5) (13,9) (16,18) (12,11) (4,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph629", - "image": "data/cycle/graph_visual/Base/medium/graph629.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (13,8) (2,6) (10,8) (14,20) (16,0) (1,19) (8,2) (16,11) (12,4) (15,16) (19,0) (3,10) (16,6) (1,17) (0,9) (14,11) (6,18) (16,5) (19,7) (4,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph12", - "image": "data/cycle/graph_visual/Base/medium/graph12.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (1,2) (0,10) (4,3) (6,3) (8,7) (2,6) (8,9) (0,4) (6,5) (1,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1418", - "image": "data/cycle/graph_visual/Base/medium/graph1418.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (0,2) (12,15) (9,4) (7,5) (12,10) (4,3) (17,11) (17,16) (11,2) (1,6) (9,15) (12,16) (6,2) (5,9) (10,13) (2,8) (1,0) (18,13) (12,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph823", - "image": "data/cycle/graph_visual/Base/medium/graph823.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (16,21) (1,4) (15,12) (13,1) (6,0) (11,1) (18,17) (13,23) (13,9) (14,15) (1,5) (6,14) (15,16) (10,15) (23,7) (8,20) (8,19) (5,20) (10,2) (0,18) (2,7) (18,3) (22,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph796", - "image": "data/cycle/graph_visual/Base/medium/graph796.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (18,23) (4,21) (21,23) (1,9) (13,17) (8,7) (0,8) (21,17) (11,10) (16,15) (5,2) (2,15) (8,15) (0,1) (22,17) (13,20) (18,14) (4,12) (0,10) (6,15) (23,6) (19,11) (3,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1252", - "image": "data/cycle/graph_visual/Base/medium/graph1252.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (1,11) (11,5) (13,7) (2,0) (2,9) (14,6) (11,0) (6,12) (1,12) (9,13) (0,1) (4,1) (15,2) (11,3) (15,0) (3,0) (10,15) (1,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph113", - "image": "data/cycle/graph_visual/Base/medium/graph113.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (7,2) (2,4) (3,7) (1,2) (9,10) (8,5) (11,0) (4,6) (8,2) (0,2) (4,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1173", - "image": "data/cycle/graph_visual/Base/medium/graph1173.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (5,7) (4,9) (0,1) (13,14) (10,4) (7,9) (0,4) (3,0) (4,14) (12,6) (1,12) (6,7) (9,11) (0,2) (3,6) (5,0) (6,8) (2,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1117", - "image": "data/cycle/graph_visual/Base/medium/graph1117.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (8,7) (10,7) (3,2) (1,13) (7,0) (6,12) (5,13) (13,8) (7,11) (0,1) (8,4) (3,9) (9,12) (2,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1315", - "image": "data/cycle/graph_visual/Base/medium/graph1315.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (1,11) (15,2) (12,6) (0,15) (11,0) (4,1) (12,1) (5,11) (10,15) (7,13) (11,3) (9,2) (8,1) (9,13) (0,16) (0,1) (14,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1256", - "image": "data/cycle/graph_visual/Base/medium/graph1256.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (1,0) (13,0) (7,0) (12,10) (5,0) (1,8) (7,14) (6,8) (1,12) (4,11) (12,14) (4,2) (15,2) (9,3) (0,2) (9,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph685", - "image": "data/cycle/graph_visual/Base/medium/graph685.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (21,12) (5,4) (3,14) (8,3) (14,4) (0,15) (18,20) (11,18) (6,11) (19,17) (19,9) (13,17) (16,0) (13,12) (21,7) (2,1) (13,16) (11,19) (1,9) (15,10) (14,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1423", - "image": "data/cycle/graph_visual/Base/medium/graph1423.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (5,11) (15,18) (13,14) (15,10) (13,0) (4,10) (9,18) (1,0) (13,12) (8,6) (5,0) (7,3) (1,4) (10,8) (14,17) (4,3) (18,13) (2,16) (2,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph736", - "image": "data/cycle/graph_visual/Base/medium/graph736.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (14,2) (8,7) (20,6) (7,22) (22,9) (15,17) (13,10) (0,15) (11,3) (20,17) (1,8) (11,10) (19,21) (7,18) (2,17) (4,11) (12,15) (5,11) (10,16) (4,2) (21,3) (7,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph656", - "image": "data/cycle/graph_visual/Base/medium/graph656.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (13,19) (16,12) (3,18) (13,9) (15,1) (18,9) (6,10) (0,20) (14,6) (17,8) (14,19) (7,20) (6,5) (6,1) (3,0) (14,8) (6,4) (11,9) (18,2) (12,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1579", - "image": "data/cycle/graph_visual/Base/medium/graph1579.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (10,19) (16,20) (1,16) (17,14) (0,2) (10,18) (11,12) (9,12) (13,17) (12,8) (4,7) (0,7) (21,18) (6,17) (17,16) (8,21) (5,3) (7,5) (15,14) (11,20) (7,8) (17,2) (0,1) (3,0) (0,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1316", - "image": "data/cycle/graph_visual/Base/medium/graph1316.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (8,7) (5,11) (1,10) (12,2) (16,6) (1,0) (9,15) (5,15) (5,14) (1,13) (2,10) (16,3) (16,5) (5,0) (2,0) (13,4) (3,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph167", - "image": "data/cycle/graph_visual/Base/medium/graph167.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (7,11) (12,3) (4,3) (9,2) (0,12) (4,2) (8,9) (7,10) (4,1) (0,5) (6,4) (5,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph721", - "image": "data/cycle/graph_visual/Base/medium/graph721.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (14,18) (1,22) (3,22) (9,8) (4,17) (11,19) (14,20) (21,7) (2,11) (9,18) (8,15) (21,15) (2,17) (1,4) (10,18) (20,16) (13,9) (0,6) (12,18) (2,5) (11,8) (15,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph96", - "image": "data/cycle/graph_visual/Base/medium/graph96.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (9,3) (7,5) (8,11) (7,0) (5,1) (7,10) (6,10) (4,5) (1,8) (11,3) (2,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph572", - "image": "data/cycle/graph_visual/Base/medium/graph572.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (8,11) (9,13) (1,10) (4,15) (11,14) (17,12) (5,4) (16,6) (13,5) (14,19) (0,1) (15,7) (11,5) (0,18) (17,1) (2,8) (14,12) (16,13) (3,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph521", - "image": "data/cycle/graph_visual/Base/medium/graph521.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (0,4) (17,2) (5,10) (7,11) (8,18) (4,12) (17,13) (9,3) (8,1) (14,7) (6,9) (0,8) (4,5) (13,4) (2,15) (7,5) (0,9) (16,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph710", - "image": "data/cycle/graph_visual/Base/medium/graph710.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (10,15) (1,11) (21,19) (1,9) (17,3) (6,0) (12,8) (18,15) (4,0) (9,18) (16,6) (6,20) (20,7) (21,18) (12,2) (13,14) (5,9) (16,19) (18,3) (1,8) (13,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1609", - "image": "data/cycle/graph_visual/Base/medium/graph1609.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (15,21) (7,12) (16,4) (6,17) (21,6) (1,4) (11,8) (20,1) (9,21) (3,18) (3,0) (20,13) (14,0) (18,4) (9,7) (11,19) (0,1) (0,16) (2,0) (2,14) (1,10) (6,20) (14,8) (16,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1534", - "image": "data/cycle/graph_visual/Base/medium/graph1534.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (4,1) (17,14) (2,0) (12,6) (0,15) (1,9) (15,4) (4,10) (7,4) (1,19) (13,4) (14,16) (17,7) (3,5) (4,0) (7,12) (0,1) (3,0) (18,1) (11,3) (17,3) (8,4) (16,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph312", - "image": "data/cycle/graph_visual/Base/medium/graph312.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (9,12) (3,8) (5,1) (13,15) (13,2) (14,4) (14,3) (12,14) (11,6) (1,4) (7,14) (2,0) (1,2) (10,9) (11,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph162", - "image": "data/cycle/graph_visual/Base/medium/graph162.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (1,2) (11,6) (10,7) (2,8) (4,12) (5,7) (0,10) (4,1) (4,9) (6,0) (5,4) (3,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph577", - "image": "data/cycle/graph_visual/Base/medium/graph577.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (7,11) (13,17) (18,15) (7,6) (1,13) (4,3) (3,5) (0,2) (19,16) (0,9) (7,16) (2,14) (4,12) (17,3) (7,8) (10,8) (18,19) (6,2) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph163", - "image": "data/cycle/graph_visual/Base/medium/graph163.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (8,6) (8,1) (3,7) (4,5) (0,10) (7,6) (8,5) (7,12) (2,0) (9,8) (2,7) (11,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1058", - "image": "data/cycle/graph_visual/Base/medium/graph1058.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (1,0) (3,0) (5,4) (8,12) (0,8) (2,4) (8,11) (1,6) (6,4) (2,0) (12,2) (11,10) (11,9) (5,7) (12,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1581", - "image": "data/cycle/graph_visual/Base/medium/graph1581.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (11,21) (15,17) (19,20) (0,2) (1,0) (18,14) (3,2) (10,3) (7,10) (4,6) (8,11) (7,21) (14,6) (16,7) (18,17) (6,0) (21,14) (7,5) (12,17) (19,18) (9,18) (12,13) (3,0) (19,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph407", - "image": "data/cycle/graph_visual/Base/medium/graph407.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (11,1) (15,7) (13,5) (2,11) (2,0) (16,9) (14,1) (3,10) (6,3) (10,16) (1,12) (1,16) (14,4) (4,8) (7,9) (8,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph42", - "image": "data/cycle/graph_visual/Base/medium/graph42.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (3,4) (1,4) (0,1) (6,8) (1,9) (0,10) (2,7) (6,7) (2,1) (5,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph328", - "image": "data/cycle/graph_visual/Base/medium/graph328.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (0,10) (9,0) (13,7) (11,0) (5,14) (3,7) (2,6) (14,10) (6,10) (12,4) (4,3) (15,14) (12,1) (5,8) (4,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1433", - "image": "data/cycle/graph_visual/Base/medium/graph1433.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (14,12) (9,12) (4,9) (17,18) (14,2) (14,7) (10,18) (0,1) (6,1) (7,11) (17,3) (16,6) (12,6) (10,13) (5,15) (15,17) (15,8) (15,1) (0,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph633", - "image": "data/cycle/graph_visual/Base/medium/graph633.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (11,16) (11,2) (5,7) (17,11) (17,20) (13,5) (2,4) (14,6) (1,18) (19,6) (13,20) (0,1) (1,15) (8,19) (2,3) (12,19) (10,9) (16,12) (9,8) (18,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph554", - "image": "data/cycle/graph_visual/Base/medium/graph554.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (14,5) (6,2) (7,17) (15,14) (5,18) (10,13) (19,10) (1,12) (3,7) (16,11) (9,0) (16,4) (12,0) (3,4) (10,0) (6,10) (4,19) (13,14) (8,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph479", - "image": "data/cycle/graph_visual/Base/medium/graph479.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (13,10) (9,12) (11,8) (6,12) (11,4) (1,0) (10,7) (2,15) (2,8) (3,6) (10,3) (16,10) (13,5) (10,11) (5,0) (8,17) (1,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph149", - "image": "data/cycle/graph_visual/Base/medium/graph149.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (7,4) (8,9) (4,0) (6,1) (0,5) (4,11) (8,7) (12,2) (12,7) (6,10) (3,6) (12,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph40", - "image": "data/cycle/graph_visual/Base/medium/graph40.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (9,0) (7,2) (0,3) (5,9) (8,10) (6,8) (6,7) (10,1) (4,1) (3,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1667", - "image": "data/cycle/graph_visual/Base/medium/graph1667.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (1,17) (21,10) (4,3) (17,8) (8,3) (22,14) (11,13) (21,0) (14,11) (5,9) (0,1) (13,6) (5,2) (20,13) (11,15) (18,19) (9,13) (16,9) (13,0) (8,19) (7,0) (15,12) (0,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1155", - "image": "data/cycle/graph_visual/Base/medium/graph1155.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (6,13) (4,2) (11,5) (2,8) (9,0) (14,0) (0,1) (7,12) (4,9) (5,3) (2,12) (4,6) (11,10) (3,0) (8,1) (2,0) (5,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1425", - "image": "data/cycle/graph_visual/Base/medium/graph1425.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (11,18) (14,18) (5,3) (10,15) (13,9) (2,4) (16,17) (1,3) (0,2) (17,14) (17,10) (16,13) (5,10) (12,14) (1,0) (11,2) (8,14) (17,6) (7,13) (0,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1254", - "image": "data/cycle/graph_visual/Base/medium/graph1254.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (12,10) (11,4) (15,8) (5,2) (1,12) (0,1) (8,0) (13,0) (14,6) (12,11) (13,2) (1,13) (9,8) (3,0) (7,10) (3,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph365", - "image": "data/cycle/graph_visual/Base/medium/graph365.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (9,0) (7,11) (4,12) (4,3) (10,8) (13,14) (0,2) (7,16) (1,13) (16,15) (3,5) (1,0) (8,7) (3,2) (6,2) (6,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph556", - "image": "data/cycle/graph_visual/Base/medium/graph556.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (6,14) (19,3) (12,5) (6,17) (7,4) (5,8) (4,15) (18,6) (14,10) (11,13) (4,19) (3,0) (6,13) (6,19) (2,17) (4,5) (4,1) (16,12) (7,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph584", - "image": "data/cycle/graph_visual/Base/medium/graph584.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (4,6) (9,1) (14,0) (13,9) (2,0) (4,11) (19,0) (2,3) (7,19) (13,12) (10,9) (12,16) (18,14) (0,16) (14,8) (17,7) (6,8) (15,11) (18,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph90", - "image": "data/cycle/graph_visual/Base/medium/graph90.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (0,4) (6,3) (11,9) (3,1) (9,8) (5,3) (2,5) (4,7) (7,8) (1,4) (10,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1005", - "image": "data/cycle/graph_visual/Base/medium/graph1005.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (8,1) (11,4) (8,5) (2,0) (3,6) (5,6) (3,0) (0,8) (2,10) (1,0) (0,7) (3,10) (1,9) (4,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph732", - "image": "data/cycle/graph_visual/Base/medium/graph732.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (22,19) (1,10) (21,9) (18,4) (6,19) (14,0) (7,9) (21,11) (2,14) (6,17) (11,8) (6,20) (20,1) (4,16) (8,14) (5,16) (18,3) (12,7) (20,13) (1,4) (16,0) (15,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph16", - "image": "data/cycle/graph_visual/Base/medium/graph16.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (9,3) (0,9) (10,5) (10,2) (4,7) (6,5) (2,8) (1,7) (5,0) (4,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph526", - "image": "data/cycle/graph_visual/Base/medium/graph526.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (9,12) (14,7) (6,16) (6,12) (1,15) (15,5) (10,13) (18,10) (11,7) (0,4) (14,12) (4,9) (2,14) (6,1) (17,18) (17,15) (15,8) (3,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1420", - "image": "data/cycle/graph_visual/Base/medium/graph1420.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (18,17) (4,0) (3,0) (15,5) (0,6) (18,0) (8,18) (0,2) (0,1) (2,11) (8,10) (9,17) (16,6) (12,16) (2,10) (17,1) (3,7) (15,13) (11,3) (13,7) (9,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph832", - "image": "data/cycle/graph_visual/Base/medium/graph832.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (3,21) (22,17) (10,20) (0,8) (3,11) (9,8) (12,2) (13,10) (12,8) (17,6) (20,14) (15,2) (22,23) (1,4) (4,23) (11,0) (16,19) (6,5) (22,19) (17,18) (22,10) (15,16) (3,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph622", - "image": "data/cycle/graph_visual/Base/medium/graph622.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (2,4) (5,11) (7,14) (14,18) (15,5) (14,13) (6,13) (4,16) (14,20) (10,7) (12,9) (17,3) (2,0) (8,9) (11,2) (9,1) (16,19) (13,5) (8,17) (15,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1066", - "image": "data/cycle/graph_visual/Base/medium/graph1066.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (2,6) (0,1) (10,4) (6,0) (0,2) (9,8) (7,12) (11,2) (4,3) (5,0) (7,1) (5,7) (8,10) (5,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1645", - "image": "data/cycle/graph_visual/Base/medium/graph1645.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (9,20) (2,16) (9,18) (8,5) (20,1) (2,0) (14,10) (8,11) (2,19) (2,4) (4,8) (12,2) (6,13) (9,13) (15,7) (15,0) (19,1) (10,0) (1,0) (3,9) (3,0) (4,0) (3,21) (8,22) (17,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph924", - "image": "data/cycle/graph_visual/Base/medium/graph924.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (3,4) (7,5) (3,10) (2,0) (9,0) (1,2) (3,0) (1,0) (6,5) (3,8) (3,2) (2,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph680", - "image": "data/cycle/graph_visual/Base/medium/graph680.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (15,10) (6,16) (15,14) (11,15) (21,17) (19,3) (12,9) (0,12) (6,18) (17,8) (19,8) (12,13) (16,7) (1,5) (20,9) (8,1) (18,11) (13,2) (4,3) (9,4) (4,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph872", - "image": "data/cycle/graph_visual/Base/medium/graph872.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (17,16) (9,13) (1,15) (19,8) (11,3) (3,23) (23,1) (14,18) (10,4) (0,17) (8,13) (21,22) (7,23) (11,24) (18,24) (9,4) (12,10) (16,24) (20,11) (4,6) (8,20) (18,22) (5,24) (10,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1211", - "image": "data/cycle/graph_visual/Base/medium/graph1211.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (3,10) (9,4) (15,7) (5,2) (12,3) (6,2) (0,3) (1,15) (10,13) (2,0) (11,15) (14,11) (4,6) (10,1) (0,1) (0,9) (7,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph358", - "image": "data/cycle/graph_visual/Base/medium/graph358.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (7,9) (6,9) (13,1) (15,2) (4,15) (1,5) (12,8) (0,4) (11,5) (9,4) (6,3) (13,15) (14,3) (10,5) (8,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1321", - "image": "data/cycle/graph_visual/Base/medium/graph1321.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (0,1) (11,9) (9,13) (8,14) (0,13) (11,12) (8,17) (9,5) (16,13) (2,5) (0,15) (4,3) (13,6) (10,15) (0,7) (3,8) (17,1) (0,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph647", - "image": "data/cycle/graph_visual/Base/medium/graph647.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (19,11) (5,0) (10,12) (10,7) (8,16) (1,3) (6,14) (1,15) (9,2) (11,18) (6,9) (0,16) (16,14) (17,15) (14,12) (17,8) (20,10) (4,19) (13,15) (4,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1736", - "image": "data/cycle/graph_visual/Base/medium/graph1736.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (0,2) (10,1) (12,6) (21,1) (4,15) (17,7) (23,18) (8,4) (3,5) (16,4) (1,0) (22,14) (3,12) (1,19) (21,20) (17,3) (7,4) (4,1) (21,9) (22,23) (0,15) (3,0) (4,0) (4,11) (7,13) (23,17) (0,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1467", - "image": "data/cycle/graph_visual/Base/medium/graph1467.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (16,10) (17,13) (0,1) (8,19) (0,7) (15,14) (7,8) (12,11) (16,1) (0,2) (9,12) (3,5) (14,17) (6,17) (18,11) (18,10) (4,7) (2,17) (5,7) (4,0) (12,8) (0,3) (17,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph74", - "image": "data/cycle/graph_visual/Base/medium/graph74.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (11,4) (5,1) (8,6) (8,10) (3,4) (7,9) (2,7) (9,6) (3,0) (0,10) (10,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph306", - "image": "data/cycle/graph_visual/Base/medium/graph306.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (3,11) (8,13) (12,10) (4,11) (10,8) (3,0) (9,2) (15,12) (9,6) (7,12) (5,9) (5,8) (13,14) (0,7) (1,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1398", - "image": "data/cycle/graph_visual/Base/medium/graph1398.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (11,5) (11,2) (17,8) (7,10) (14,17) (9,8) (4,16) (15,3) (13,3) (0,2) (5,18) (0,3) (15,5) (1,9) (12,9) (13,6) (0,1) (7,14) (14,16) (2,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph606", - "image": "data/cycle/graph_visual/Base/medium/graph606.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (16,15) (18,4) (4,14) (8,0) (17,19) (8,9) (15,2) (17,13) (1,12) (5,18) (10,11) (0,1) (6,15) (7,2) (20,3) (3,17) (11,18) (0,10) (13,6) (8,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph516", - "image": "data/cycle/graph_visual/Base/medium/graph516.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (7,6) (0,10) (0,18) (4,12) (0,5) (5,16) (3,8) (15,8) (2,11) (18,12) (7,12) (6,1) (2,9) (13,6) (0,11) (9,17) (8,11) (0,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1544", - "image": "data/cycle/graph_visual/Base/medium/graph1544.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (1,0) (3,17) (3,5) (16,1) (20,14) (9,16) (19,11) (7,13) (4,8) (11,15) (3,18) (2,19) (14,0) (7,15) (7,12) (6,11) (20,8) (20,18) (17,12) (0,10) (5,1) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1151", - "image": "data/cycle/graph_visual/Base/medium/graph1151.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (7,13) (3,0) (2,4) (4,0) (0,5) (6,3) (14,4) (1,4) (5,11) (7,6) (4,8) (1,9) (10,4) (7,0) (12,1) (1,0) (0,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1706", - "image": "data/cycle/graph_visual/Base/medium/graph1706.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (0,14) (5,6) (23,4) (23,10) (8,12) (0,2) (0,1) (16,8) (5,12) (4,21) (12,1) (22,10) (0,20) (7,21) (18,11) (3,0) (9,17) (19,7) (3,7) (18,17) (12,23) (18,0) (14,4) (10,2) (9,15) (22,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1249", - "image": "data/cycle/graph_visual/Base/medium/graph1249.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (4,0) (10,11) (14,8) (7,14) (1,0) (6,13) (6,4) (3,10) (0,3) (4,3) (2,0) (2,15) (9,1) (12,2) (12,13) (9,4) (7,12) (5,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph612", - "image": "data/cycle/graph_visual/Base/medium/graph612.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (1,13) (16,14) (19,12) (19,3) (2,13) (10,11) (18,1) (8,0) (10,8) (14,7) (8,15) (9,18) (5,2) (15,20) (17,6) (17,12) (11,4) (13,0) (0,3) (16,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph250", - "image": "data/cycle/graph_visual/Base/medium/graph250.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (10,3) (14,6) (2,3) (13,3) (4,1) (11,6) (9,8) (2,12) (5,6) (3,7) (6,0) (11,4) (2,9) (12,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph92", - "image": "data/cycle/graph_visual/Base/medium/graph92.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (5,7) (8,7) (8,1) (8,6) (7,11) (2,8) (9,10) (0,7) (3,9) (7,4) (3,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph44", - "image": "data/cycle/graph_visual/Base/medium/graph44.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (1,7) (8,0) (2,6) (9,3) (6,0) (3,10) (10,0) (4,7) (2,1) (5,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph742", - "image": "data/cycle/graph_visual/Base/medium/graph742.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (13,22) (8,10) (11,7) (3,5) (19,18) (17,14) (17,10) (13,11) (1,3) (0,21) (15,13) (14,4) (17,9) (1,6) (17,21) (14,18) (12,14) (20,16) (16,10) (4,13) (19,2) (2,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph704", - "image": "data/cycle/graph_visual/Base/medium/graph704.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (10,3) (4,6) (21,2) (16,19) (9,10) (4,1) (0,8) (21,20) (17,14) (17,5) (10,17) (12,8) (7,8) (11,0) (15,18) (2,12) (2,19) (15,16) (13,20) (3,6) (11,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph69", - "image": "data/cycle/graph_visual/Base/medium/graph69.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (3,2) (3,0) (11,10) (0,7) (10,0) (1,3) (0,4) (6,11) (8,5) (9,0) (2,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph929", - "image": "data/cycle/graph_visual/Base/medium/graph929.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (4,3) (10,1) (1,6) (7,4) (0,7) (2,0) (7,10) (4,5) (9,6) (8,1) (3,0) (7,2) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph684", - "image": "data/cycle/graph_visual/Base/medium/graph684.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (4,9) (11,12) (13,2) (0,20) (2,20) (18,20) (8,10) (15,1) (19,7) (5,7) (7,15) (6,9) (10,17) (2,6) (8,11) (17,16) (18,21) (2,15) (8,14) (12,5) (3,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph626", - "image": "data/cycle/graph_visual/Base/medium/graph626.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (1,4) (13,11) (17,2) (9,6) (8,17) (19,8) (18,20) (5,7) (10,0) (3,10) (20,15) (0,16) (2,9) (11,17) (16,13) (5,14) (20,12) (7,8) (1,0) (2,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1222", - "image": "data/cycle/graph_visual/Base/medium/graph1222.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (9,15) (5,8) (13,8) (3,1) (6,0) (1,5) (3,0) (0,11) (13,4) (14,6) (1,15) (12,15) (10,14) (2,10) (2,0) (2,7) (15,7) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph486", - "image": "data/cycle/graph_visual/Base/medium/graph486.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (1,9) (10,8) (2,16) (14,5) (12,7) (11,4) (10,16) (6,13) (10,14) (15,3) (3,0) (7,17) (4,3) (2,12) (12,13) (14,9) (4,6) (8,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph741", - "image": "data/cycle/graph_visual/Base/medium/graph741.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (7,17) (22,13) (0,4) (6,21) (10,2) (16,13) (6,0) (11,3) (2,19) (8,20) (9,17) (18,0) (20,10) (16,14) (7,3) (20,12) (15,5) (11,19) (17,1) (18,8) (15,9) (22,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph973", - "image": "data/cycle/graph_visual/Base/medium/graph973.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (0,11) (11,9) (11,4) (0,3) (0,1) (2,6) (2,4) (1,5) (8,3) (10,0) (3,7) (7,0) (1,3) (2,0) (0,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph226", - "image": "data/cycle/graph_visual/Base/medium/graph226.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (8,1) (12,6) (12,5) (0,2) (4,1) (12,7) (11,7) (9,4) (7,13) (1,7) (10,12) (9,2) (3,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1778", - "image": "data/cycle/graph_visual/Base/medium/graph1778.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (20,12) (18,11) (5,19) (6,17) (4,2) (9,15) (8,22) (3,13) (16,15) (5,16) (2,13) (0,1) (7,24) (0,21) (6,15) (1,5) (10,13) (0,22) (7,16) (4,24) (11,0) (7,23) (18,13) (20,16) (14,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph319", - "image": "data/cycle/graph_visual/Base/medium/graph319.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (12,11) (9,6) (0,13) (9,7) (14,15) (8,11) (5,7) (4,0) (10,4) (8,14) (1,4) (1,6) (2,14) (1,3) (6,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph446", - "image": "data/cycle/graph_visual/Base/medium/graph446.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (8,13) (1,5) (7,8) (9,14) (6,15) (6,16) (14,11) (17,12) (0,2) (14,5) (12,6) (2,5) (3,12) (11,15) (4,14) (14,10) (6,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph947", - "image": "data/cycle/graph_visual/Base/medium/graph947.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (5,8) (5,2) (1,0) (9,7) (10,9) (4,10) (2,0) (5,4) (8,6) (1,9) (3,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph811", - "image": "data/cycle/graph_visual/Base/medium/graph811.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (19,23) (10,21) (13,14) (13,4) (20,8) (14,11) (10,19) (10,11) (23,7) (3,2) (1,19) (23,22) (11,2) (5,17) (21,16) (0,20) (18,11) (22,8) (15,1) (5,18) (9,3) (13,6) (12,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1175", - "image": "data/cycle/graph_visual/Base/medium/graph1175.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (1,0) (1,5) (6,12) (8,2) (9,7) (9,13) (6,14) (14,3) (8,0) (14,0) (5,13) (4,5) (0,2) (6,1) (3,10) (11,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph686", - "image": "data/cycle/graph_visual/Base/medium/graph686.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (15,12) (14,6) (1,4) (21,1) (8,18) (0,17) (11,1) (7,2) (14,15) (20,16) (5,1) (13,18) (0,6) (18,3) (8,20) (7,11) (15,10) (19,5) (13,9) (16,15) (10,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph835", - "image": "data/cycle/graph_visual/Base/medium/graph835.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (2,20) (3,2) (20,12) (15,0) (1,7) (4,8) (0,19) (14,21) (14,6) (23,21) (13,0) (7,0) (17,15) (15,12) (5,9) (23,5) (18,10) (9,4) (22,11) (18,22) (17,9) (19,16) (10,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph539", - "image": "data/cycle/graph_visual/Base/medium/graph539.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (16,10) (5,3) (7,14) (17,1) (17,18) (4,2) (15,5) (14,3) (9,14) (14,8) (4,9) (12,6) (16,13) (14,0) (2,17) (18,11) (15,16) (5,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph98", - "image": "data/cycle/graph_visual/Base/medium/graph98.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (10,2) (10,11) (11,4) (8,7) (0,1) (5,1) (2,1) (3,4) (9,5) (7,6) (2,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1291", - "image": "data/cycle/graph_visual/Base/medium/graph1291.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (4,11) (7,15) (2,0) (8,6) (0,1) (14,16) (3,9) (12,10) (1,12) (0,3) (9,6) (0,4) (0,5) (4,2) (8,1) (16,2) (12,14) (0,13) (0,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph429", - "image": "data/cycle/graph_visual/Base/medium/graph429.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (10,12) (8,4) (9,2) (4,11) (0,15) (6,16) (14,1) (1,12) (11,17) (1,13) (2,7) (1,2) (13,4) (9,5) (14,3) (15,6) (5,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1299", - "image": "data/cycle/graph_visual/Base/medium/graph1299.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (0,2) (3,0) (15,16) (15,14) (16,1) (5,2) (3,10) (4,6) (10,13) (2,6) (1,10) (0,9) (8,7) (11,3) (12,16) (15,7) (0,1) (9,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1110", - "image": "data/cycle/graph_visual/Base/medium/graph1110.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (2,8) (3,10) (13,1) (3,11) (0,2) (5,9) (3,9) (11,7) (2,7) (6,5) (4,0) (11,12) (3,0) (1,0) (1,2) (0,5) (7,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph487", - "image": "data/cycle/graph_visual/Base/medium/graph487.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (7,0) (10,3) (18,13) (6,15) (7,5) (12,15) (3,9) (5,11) (14,1) (0,17) (8,9) (8,13) (13,11) (4,12) (6,2) (1,4) (12,17) (6,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph711", - "image": "data/cycle/graph_visual/Base/medium/graph711.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (2,8) (15,11) (16,14) (20,19) (4,12) (8,15) (15,1) (18,7) (9,11) (17,0) (16,5) (0,12) (0,21) (3,21) (21,19) (7,17) (14,19) (10,4) (11,13) (8,20) (21,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph82", - "image": "data/cycle/graph_visual/Base/medium/graph82.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (11,3) (10,2) (8,0) (2,3) (5,6) (5,0) (4,9) (10,8) (7,0) (0,1) (1,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph338", - "image": "data/cycle/graph_visual/Base/medium/graph338.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (12,7) (4,14) (2,10) (8,9) (5,6) (0,14) (12,5) (4,13) (7,0) (1,12) (4,15) (12,8) (10,9) (3,7) (11,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1399", - "image": "data/cycle/graph_visual/Base/medium/graph1399.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (3,0) (17,7) (9,2) (16,15) (13,9) (18,0) (8,4) (10,12) (5,11) (15,6) (1,5) (10,16) (14,15) (7,3) (18,13) (16,5) (8,16) (2,17) (0,2) (1,0) (9,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1084", - "image": "data/cycle/graph_visual/Base/medium/graph1084.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (9,10) (12,5) (10,3) (11,1) (5,13) (12,6) (10,13) (12,7) (2,4) (8,2) (0,11) (1,13) (0,1) (4,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph399", - "image": "data/cycle/graph_visual/Base/medium/graph399.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (2,11) (4,3) (11,12) (0,2) (2,6) (13,12) (8,2) (16,14) (10,16) (10,12) (9,5) (5,7) (12,15) (1,6) (9,4) (9,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1650", - "image": "data/cycle/graph_visual/Base/medium/graph1650.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (1,18) (5,1) (12,22) (22,19) (17,16) (20,11) (0,12) (0,11) (7,11) (0,2) (2,17) (9,21) (0,21) (4,18) (0,1) (1,20) (6,12) (13,8) (15,6) (1,10) (2,15) (14,9) (13,15) (3,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1442", - "image": "data/cycle/graph_visual/Base/medium/graph1442.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (7,5) (8,7) (9,6) (0,10) (17,11) (8,17) (18,2) (17,2) (2,0) (16,8) (18,13) (14,13) (12,5) (3,10) (1,0) (1,4) (19,13) (15,11) (0,16) (9,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph943", - "image": "data/cycle/graph_visual/Base/medium/graph943.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (1,8) (6,2) (3,5) (2,0) (0,1) (1,5) (4,0) (2,4) (3,0) (0,7) (10,5) (8,9) (10,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph543", - "image": "data/cycle/graph_visual/Base/medium/graph543.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (7,9) (14,19) (14,4) (19,9) (11,7) (6,17) (5,16) (0,10) (10,3) (15,12) (14,2) (17,8) (9,10) (0,15) (4,5) (17,0) (18,11) (16,1) (13,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1214", - "image": "data/cycle/graph_visual/Base/medium/graph1214.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (5,8) (7,3) (8,6) (4,13) (14,5) (0,1) (10,2) (15,3) (1,10) (2,9) (13,5) (0,3) (11,1) (5,0) (15,13) (2,0) (5,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph923", - "image": "data/cycle/graph_visual/Base/medium/graph923.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (9,6) (0,6) (8,4) (7,4) (0,1) (2,6) (3,5) (4,10) (2,3) (9,8) (1,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1323", - "image": "data/cycle/graph_visual/Base/medium/graph1323.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (1,8) (16,14) (6,11) (6,5) (15,0) (6,3) (9,15) (16,8) (17,12) (17,0) (13,7) (4,17) (10,7) (3,9) (0,2) (4,7) (0,1) (2,10) (8,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph529", - "image": "data/cycle/graph_visual/Base/medium/graph529.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (11,9) (7,15) (2,4) (16,6) (10,1) (4,3) (13,5) (15,3) (4,5) (17,18) (7,6) (13,14) (9,16) (17,16) (0,17) (12,6) (17,10) (8,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1504", - "image": "data/cycle/graph_visual/Base/medium/graph1504.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (20,14) (5,14) (4,14) (19,11) (12,13) (0,3) (2,0) (19,9) (19,15) (8,16) (6,8) (5,1) (3,2) (7,13) (10,8) (1,17) (0,4) (1,0) (18,5) (1,9) (3,13) (15,13) (20,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph76", - "image": "data/cycle/graph_visual/Base/medium/graph76.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (4,1) (4,7) (8,9) (10,3) (6,3) (3,5) (2,5) (8,7) (4,0) (11,9) (3,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph464", - "image": "data/cycle/graph_visual/Base/medium/graph464.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (12,11) (7,0) (16,10) (16,15) (8,12) (1,16) (5,3) (7,8) (7,5) (13,14) (12,17) (17,6) (10,11) (17,14) (17,2) (17,9) (7,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1083", - "image": "data/cycle/graph_visual/Base/medium/graph1083.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (13,12) (11,12) (10,8) (9,7) (3,0) (8,6) (11,4) (1,0) (9,6) (0,10) (7,2) (0,2) (0,5) (4,0) (3,4) (1,5) (10,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph295", - "image": "data/cycle/graph_visual/Base/medium/graph295.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (10,8) (1,6) (3,5) (10,2) (2,7) (14,6) (0,11) (11,12) (12,8) (5,14) (13,0) (0,9) (4,3) (13,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph813", - "image": "data/cycle/graph_visual/Base/medium/graph813.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (2,11) (17,5) (14,13) (6,13) (9,3) (11,14) (0,20) (19,23) (22,8) (19,1) (5,18) (22,23) (11,18) (20,8) (13,4) (10,11) (21,10) (10,19) (12,22) (2,3) (1,15) (7,23) (21,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph694", - "image": "data/cycle/graph_visual/Base/medium/graph694.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (1,6) (13,10) (4,3) (2,0) (12,18) (17,14) (20,21) (2,8) (16,19) (21,9) (9,4) (20,17) (15,11) (12,10) (5,7) (15,12) (12,16) (9,5) (17,13) (6,2) (2,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph362", - "image": "data/cycle/graph_visual/Base/medium/graph362.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (1,8) (3,13) (13,11) (3,2) (14,2) (6,1) (14,4) (16,6) (14,7) (12,16) (0,4) (5,12) (11,10) (5,9) (8,14) (15,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1574", - "image": "data/cycle/graph_visual/Base/medium/graph1574.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (16,20) (9,18) (1,0) (13,8) (0,4) (2,18) (15,2) (0,8) (15,12) (9,19) (0,5) (2,0) (0,3) (17,5) (16,6) (14,3) (16,7) (1,8) (3,4) (16,12) (11,18) (6,14) (15,10) (14,5) (21,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1169", - "image": "data/cycle/graph_visual/Base/medium/graph1169.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (10,7) (0,6) (8,14) (3,7) (7,8) (13,6) (4,2) (4,1) (12,7) (5,13) (11,8) (4,8) (14,5) (0,1) (3,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph805", - "image": "data/cycle/graph_visual/Base/medium/graph805.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (6,22) (13,21) (15,21) (14,10) (23,16) (16,2) (10,3) (22,7) (19,21) (12,13) (12,20) (17,19) (0,3) (22,5) (9,14) (7,12) (8,14) (4,3) (1,9) (4,21) (6,18) (2,20) (11,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1053", - "image": "data/cycle/graph_visual/Base/medium/graph1053.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (11,3) (8,6) (0,9) (1,0) (0,10) (3,10) (2,0) (7,1) (0,3) (0,6) (5,7) (1,2) (12,2) (3,2) (4,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph625", - "image": "data/cycle/graph_visual/Base/medium/graph625.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (14,4) (5,11) (4,6) (0,19) (13,8) (19,16) (18,7) (0,10) (19,4) (3,16) (15,14) (9,12) (15,1) (8,2) (14,20) (8,20) (12,11) (17,7) (17,0) (15,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph510", - "image": "data/cycle/graph_visual/Base/medium/graph510.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (2,13) (7,8) (0,3) (6,15) (3,17) (8,2) (2,18) (11,9) (4,8) (2,1) (1,9) (5,13) (16,9) (9,3) (0,15) (10,12) (14,15) (10,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph904", - "image": "data/cycle/graph_visual/Base/medium/graph904.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (8,0) (6,9) (0,4) (5,0) (7,3) (1,9) (10,7) (0,6) (0,1) (9,7) (0,2) (3,0) (5,7) (4,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph992", - "image": "data/cycle/graph_visual/Base/medium/graph992.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (0,4) (0,1) (4,1) (11,10) (8,3) (8,9) (8,11) (11,2) (7,1) (3,6) (5,10) (2,0) (5,4) (0,3) (5,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1664", - "image": "data/cycle/graph_visual/Base/medium/graph1664.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (13,19) (1,0) (22,18) (21,10) (22,9) (15,21) (5,3) (11,9) (12,4) (0,3) (8,17) (7,12) (0,2) (14,11) (5,11) (19,2) (19,22) (1,2) (0,20) (7,10) (4,17) (16,19) (6,22) (0,22) (4,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph80", - "image": "data/cycle/graph_visual/Base/medium/graph80.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (6,8) (6,4) (1,7) (4,9) (9,0) (6,10) (4,3) (5,8) (11,2) (1,0) (2,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1020", - "image": "data/cycle/graph_visual/Base/medium/graph1020.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (4,0) (11,4) (2,1) (9,8) (7,8) (1,0) (3,0) (11,8) (5,6) (3,6) (2,0) (6,2) (10,1) (12,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph256", - "image": "data/cycle/graph_visual/Base/medium/graph256.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (3,9) (13,4) (13,12) (4,11) (0,1) (1,14) (1,8) (10,7) (7,4) (3,12) (14,6) (8,12) (5,6) (2,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph89", - "image": "data/cycle/graph_visual/Base/medium/graph89.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (2,1) (5,7) (3,11) (10,3) (4,7) (0,10) (9,3) (6,0) (0,8) (6,2) (1,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph143", - "image": "data/cycle/graph_visual/Base/medium/graph143.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (6,1) (10,5) (9,3) (3,2) (1,10) (1,11) (10,12) (4,8) (7,0) (4,3) (0,11) (11,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1603", - "image": "data/cycle/graph_visual/Base/medium/graph1603.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (15,10) (3,11) (1,0) (13,0) (21,8) (2,20) (7,8) (13,14) (4,10) (20,9) (14,18) (15,18) (5,17) (18,16) (5,0) (13,21) (6,4) (10,12) (2,3) (3,4) (1,21) (13,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1096", - "image": "data/cycle/graph_visual/Base/medium/graph1096.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (0,2) (4,6) (0,3) (8,3) (4,7) (6,10) (9,0) (9,11) (9,12) (10,13) (5,8) (7,5) (0,1) (5,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph862", - "image": "data/cycle/graph_visual/Base/medium/graph862.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (23,8) (7,4) (0,7) (11,12) (14,23) (16,17) (1,16) (10,20) (7,5) (8,7) (24,12) (17,13) (9,12) (18,10) (17,22) (22,19) (6,17) (15,14) (2,17) (3,5) (18,21) (20,16) (21,11) (12,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1015", - "image": "data/cycle/graph_visual/Base/medium/graph1015.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (11,6) (4,3) (0,2) (10,1) (9,6) (2,7) (1,11) (0,3) (7,4) (7,0) (5,4) (0,1) (10,7) (8,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1479", - "image": "data/cycle/graph_visual/Base/medium/graph1479.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (2,18) (0,2) (10,1) (18,13) (0,16) (11,7) (1,6) (2,3) (17,14) (18,8) (18,9) (3,0) (1,0) (1,15) (0,4) (5,12) (17,4) (10,2) (7,16) (19,17) (12,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph988", - "image": "data/cycle/graph_visual/Base/medium/graph988.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (11,7) (2,0) (0,11) (6,8) (0,1) (9,2) (9,10) (3,6) (7,4) (10,7) (10,8) (7,1) (5,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph333", - "image": "data/cycle/graph_visual/Base/medium/graph333.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (9,8) (13,1) (11,4) (7,10) (2,5) (14,3) (2,13) (10,12) (3,0) (12,1) (14,6) (0,8) (12,11) (15,8) (13,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1161", - "image": "data/cycle/graph_visual/Base/medium/graph1161.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (0,9) (3,12) (6,4) (1,12) (0,3) (0,2) (0,1) (8,6) (14,5) (2,14) (9,4) (13,11) (6,13) (14,10) (8,5) (0,4) (4,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph55", - "image": "data/cycle/graph_visual/Base/medium/graph55.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (3,9) (2,6) (7,5) (1,2) (0,8) (3,10) (7,1) (6,0) (10,0) (4,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph48", - "image": "data/cycle/graph_visual/Base/medium/graph48.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (1,2) (5,6) (8,4) (6,1) (7,3) (7,10) (6,7) (9,6) (1,0) (9,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph28", - "image": "data/cycle/graph_visual/Base/medium/graph28.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (9,5) (3,8) (7,10) (9,10) (2,4) (5,2) (0,3) (8,9) (7,6) (9,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1264", - "image": "data/cycle/graph_visual/Base/medium/graph1264.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (16,1) (10,15) (2,7) (5,10) (1,8) (7,4) (6,4) (0,3) (3,14) (14,0) (2,0) (5,12) (2,11) (8,7) (5,13) (13,1) (1,0) (0,9) (11,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1600", - "image": "data/cycle/graph_visual/Base/medium/graph1600.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (3,10) (5,15) (20,12) (11,21) (8,11) (4,17) (8,12) (6,2) (7,5) (2,0) (11,14) (6,0) (8,19) (16,0) (9,16) (0,1) (10,14) (11,4) (3,7) (13,1) (1,21) (7,18) (3,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph38", - "image": "data/cycle/graph_visual/Base/medium/graph38.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (10,2) (1,3) (0,10) (6,0) (1,4) (7,10) (9,2) (6,4) (4,8) (3,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph384", - "image": "data/cycle/graph_visual/Base/medium/graph384.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (10,8) (13,8) (5,4) (11,8) (14,3) (12,1) (4,9) (16,1) (10,6) (9,13) (11,3) (7,4) (11,0) (15,16) (2,10) (0,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph203", - "image": "data/cycle/graph_visual/Base/medium/graph203.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (5,13) (5,7) (8,2) (13,1) (3,8) (7,10) (13,6) (1,2) (12,0) (4,9) (4,6) (10,0) (4,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph551", - "image": "data/cycle/graph_visual/Base/medium/graph551.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (15,7) (1,12) (1,16) (0,18) (16,15) (14,16) (10,17) (2,6) (4,9) (8,7) (10,1) (2,5) (13,3) (0,19) (0,9) (11,19) (3,10) (15,11) (4,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph938", - "image": "data/cycle/graph_visual/Base/medium/graph938.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (7,3) (7,2) (9,5) (6,2) (2,0) (5,6) (10,1) (8,1) (7,4) (6,8) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph582", - "image": "data/cycle/graph_visual/Base/medium/graph582.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (9,10) (11,12) (0,12) (18,6) (2,13) (11,5) (13,9) (16,4) (11,2) (18,16) (17,18) (10,3) (7,0) (4,3) (8,3) (0,14) (19,8) (7,15) (1,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph829", - "image": "data/cycle/graph_visual/Base/medium/graph829.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (18,23) (5,3) (10,23) (14,0) (7,12) (20,13) (3,17) (20,1) (0,16) (16,19) (2,19) (18,3) (11,8) (15,11) (17,12) (23,6) (15,7) (8,4) (5,1) (7,14) (9,22) (20,21) (11,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph624", - "image": "data/cycle/graph_visual/Base/medium/graph624.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (17,20) (13,15) (16,2) (17,1) (12,7) (14,17) (9,18) (10,8) (20,18) (5,17) (19,3) (11,16) (15,8) (3,1) (6,19) (4,3) (14,0) (11,5) (7,13) (14,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1712", - "image": "data/cycle/graph_visual/Base/medium/graph1712.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (0,12) (16,20) (6,2) (3,10) (23,13) (2,5) (11,19) (10,21) (17,23) (11,15) (16,1) (0,17) (22,15) (1,0) (19,0) (6,4) (18,3) (4,9) (0,2) (3,0) (7,9) (16,22) (7,15) (1,10) (8,22) (14,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph292", - "image": "data/cycle/graph_visual/Base/medium/graph292.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (12,3) (0,1) (5,10) (13,11) (5,14) (9,4) (9,7) (13,2) (2,1) (8,11) (2,4) (6,5) (1,12) (13,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1562", - "image": "data/cycle/graph_visual/Base/medium/graph1562.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (17,16) (12,6) (20,15) (2,4) (5,13) (1,0) (9,16) (21,4) (10,1) (17,20) (21,16) (18,3) (11,9) (7,6) (17,10) (7,19) (6,16) (14,13) (4,5) (17,8) (17,0) (15,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1766", - "image": "data/cycle/graph_visual/Base/medium/graph1766.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (21,15) (9,5) (7,23) (6,0) (4,0) (13,5) (6,3) (22,23) (3,0) (24,15) (2,0) (22,9) (7,17) (15,13) (20,4) (22,18) (7,16) (2,4) (1,4) (14,5) (10,11) (2,11) (0,11) (1,0) (19,12) (23,3) (15,19) (14,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph298", - "image": "data/cycle/graph_visual/Base/medium/graph298.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (8,12) (2,9) (8,6) (1,14) (2,11) (11,13) (6,10) (1,12) (6,5) (2,0) (7,12) (3,7) (7,4) (11,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph308", - "image": "data/cycle/graph_visual/Base/medium/graph308.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (2,15) (15,1) (6,8) (13,14) (12,3) (6,14) (3,5) (6,0) (8,10) (4,2) (6,9) (13,12) (7,0) (2,0) (4,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph474", - "image": "data/cycle/graph_visual/Base/medium/graph474.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (11,2) (2,1) (6,9) (3,8) (2,10) (9,10) (5,2) (5,14) (4,13) (7,17) (7,0) (11,12) (10,13) (4,8) (0,14) (16,6) (15,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1490", - "image": "data/cycle/graph_visual/Base/medium/graph1490.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (19,11) (15,19) (4,0) (18,9) (12,13) (1,0) (4,14) (1,9) (13,7) (13,3) (8,10) (14,5) (3,2) (13,15) (19,14) (6,1) (1,5) (0,5) (5,17) (8,16) (0,3) (2,0) (6,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph3", - "image": "data/cycle/graph_visual/Base/medium/graph3.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (9,10) (0,2) (6,7) (9,0) (8,1) (2,5) (3,8) (8,2) (8,4) (0,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph59", - "image": "data/cycle/graph_visual/Base/medium/graph59.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (5,10) (5,6) (7,5) (2,8) (3,6) (6,8) (9,8) (1,6) (5,4) (0,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1546", - "image": "data/cycle/graph_visual/Base/medium/graph1546.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (13,8) (13,20) (3,9) (6,15) (7,0) (13,11) (17,0) (0,1) (2,6) (5,7) (9,8) (20,4) (1,20) (12,15) (19,6) (14,1) (16,4) (18,12) (10,3) (11,5) (0,2) (17,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph332", - "image": "data/cycle/graph_visual/Base/medium/graph332.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (14,3) (6,3) (10,15) (5,9) (10,6) (8,12) (2,12) (15,7) (9,1) (1,8) (0,4) (11,1) (13,9) (6,0) (3,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1790", - "image": "data/cycle/graph_visual/Base/medium/graph1790.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (13,4) (18,5) (8,4) (15,22) (12,19) (14,5) (1,0) (14,19) (23,6) (24,7) (1,2) (9,22) (18,2) (4,20) (2,10) (21,22) (2,11) (19,0) (13,10) (2,0) (3,24) (10,21) (7,0) (17,11) (9,6) (16,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1324", - "image": "data/cycle/graph_visual/Base/medium/graph1324.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (15,2) (7,8) (0,10) (8,4) (0,3) (6,11) (13,14) (5,12) (2,0) (11,16) (1,0) (2,10) (12,1) (14,3) (17,14) (9,0) (10,17) (14,5) (16,1) (5,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1090", - "image": "data/cycle/graph_visual/Base/medium/graph1090.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (4,3) (0,9) (6,13) (0,6) (6,5) (10,3) (5,1) (4,11) (0,2) (3,7) (8,4) (7,2) (1,0) (12,4) (4,0) (3,0) (13,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph603", - "image": "data/cycle/graph_visual/Base/medium/graph603.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (7,20) (11,6) (0,11) (1,0) (18,12) (0,13) (2,20) (17,16) (18,8) (17,1) (14,19) (15,14) (0,2) (1,9) (15,3) (7,10) (3,10) (4,6) (8,11) (5,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph977", - "image": "data/cycle/graph_visual/Base/medium/graph977.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (0,3) (3,6) (9,10) (5,11) (7,8) (1,0) (0,11) (2,0) (11,6) (11,4) (1,8) (1,9) (2,7) (3,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph400", - "image": "data/cycle/graph_visual/Base/medium/graph400.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (2,0) (11,10) (2,16) (10,5) (3,0) (14,9) (3,4) (12,15) (11,7) (13,14) (7,6) (8,6) (13,3) (7,14) (6,1) (12,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1120", - "image": "data/cycle/graph_visual/Base/medium/graph1120.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (0,2) (4,0) (5,0) (1,0) (10,12) (1,9) (3,10) (0,3) (5,8) (12,11) (13,12) (5,9) (6,12) (1,2) (7,2) (13,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph826", - "image": "data/cycle/graph_visual/Base/medium/graph826.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (15,11) (14,6) (2,19) (5,19) (15,10) (16,23) (3,6) (23,5) (7,16) (4,8) (23,14) (21,4) (8,23) (18,0) (0,1) (14,17) (23,11) (1,5) (22,1) (12,22) (16,13) (11,20) (22,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1421", - "image": "data/cycle/graph_visual/Base/medium/graph1421.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (1,15) (6,0) (9,0) (2,0) (0,1) (0,3) (2,4) (3,5) (18,0) (16,13) (7,17) (8,11) (17,2) (12,0) (4,15) (13,14) (6,14) (12,2) (10,6) (3,12) (6,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1582", - "image": "data/cycle/graph_visual/Base/medium/graph1582.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (6,5) (9,3) (10,7) (9,15) (14,7) (4,7) (4,17) (12,17) (1,8) (0,1) (15,0) (19,16) (21,15) (6,11) (2,10) (0,16) (8,20) (0,2) (13,19) (6,3) (0,8) (20,17) (21,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1564", - "image": "data/cycle/graph_visual/Base/medium/graph1564.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (0,4) (19,8) (0,6) (20,10) (1,0) (15,5) (21,18) (0,3) (6,20) (2,17) (1,17) (12,20) (8,18) (14,16) (13,16) (0,2) (7,13) (10,2) (9,15) (3,7) (18,0) (19,11) (9,17) (11,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph259", - "image": "data/cycle/graph_visual/Base/medium/graph259.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (10,1) (10,5) (3,9) (11,0) (1,12) (14,11) (8,4) (13,14) (2,11) (7,0) (2,3) (6,1) (4,3) (11,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1453", - "image": "data/cycle/graph_visual/Base/medium/graph1453.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (10,11) (8,15) (2,12) (0,3) (10,9) (4,2) (7,10) (6,7) (0,15) (4,11) (10,14) (2,0) (17,13) (8,1) (19,7) (2,17) (5,11) (3,11) (15,7) (3,18) (0,1) (4,0) (16,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph690", - "image": "data/cycle/graph_visual/Base/medium/graph690.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (20,3) (13,0) (15,14) (1,9) (11,8) (13,5) (18,12) (17,1) (18,8) (11,6) (14,19) (0,1) (0,2) (4,6) (2,20) (21,15) (7,21) (10,7) (10,3) (11,0) (16,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1238", - "image": "data/cycle/graph_visual/Base/medium/graph1238.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (4,13) (3,0) (0,5) (1,11) (12,5) (15,3) (3,7) (0,2) (5,13) (10,1) (15,13) (8,5) (1,0) (8,6) (2,9) (10,2) (5,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1768", - "image": "data/cycle/graph_visual/Base/medium/graph1768.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (4,21) (21,15) (6,17) (7,14) (4,16) (1,0) (2,22) (4,5) (9,3) (19,23) (8,21) (23,9) (13,4) (20,5) (0,13) (21,10) (1,8) (18,7) (11,5) (9,0) (12,20) (2,17) (7,20) (21,24) (6,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1236", - "image": "data/cycle/graph_visual/Base/medium/graph1236.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (2,0) (10,9) (14,0) (7,14) (4,8) (12,4) (11,3) (7,13) (7,10) (6,9) (5,11) (15,0) (11,12) (0,3) (1,0) (2,5) (0,4) (2,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1257", - "image": "data/cycle/graph_visual/Base/medium/graph1257.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (7,10) (0,8) (13,1) (0,3) (2,0) (6,14) (0,1) (14,3) (12,11) (13,2) (13,0) (0,4) (11,4) (2,5) (10,12) (8,15) (12,1) (9,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph649", - "image": "data/cycle/graph_visual/Base/medium/graph649.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (7,14) (11,18) (10,16) (14,9) (2,4) (9,4) (15,20) (8,14) (5,19) (17,20) (1,17) (13,16) (14,0) (3,14) (6,5) (3,5) (12,6) (15,16) (18,19) (17,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph590", - "image": "data/cycle/graph_visual/Base/medium/graph590.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (6,17) (4,12) (19,8) (1,2) (5,3) (16,10) (7,10) (17,12) (5,11) (11,9) (0,19) (14,0) (11,13) (19,2) (9,19) (7,18) (4,15) (7,14) (4,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1305", - "image": "data/cycle/graph_visual/Base/medium/graph1305.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (3,0) (1,0) (16,5) (11,7) (9,15) (8,3) (13,11) (12,13) (0,4) (9,1) (0,10) (0,16) (4,14) (14,13) (2,1) (6,4) (5,12) (3,14) (2,0) (11,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1212", - "image": "data/cycle/graph_visual/Base/medium/graph1212.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (10,2) (13,9) (6,8) (15,1) (10,8) (15,5) (0,14) (12,9) (0,4) (13,7) (11,3) (1,6) (2,11) (3,7) (2,0) (1,0) (0,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph601", - "image": "data/cycle/graph_visual/Base/medium/graph601.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (15,17) (1,12) (4,12) (5,4) (14,10) (20,13) (6,9) (1,7) (13,0) (18,2) (0,19) (8,7) (8,16) (18,9) (4,11) (20,7) (1,10) (14,15) (2,5) (3,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1521", - "image": "data/cycle/graph_visual/Base/medium/graph1521.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (11,5) (9,13) (2,0) (11,14) (8,11) (13,16) (1,10) (4,15) (20,14) (13,5) (14,12) (19,0) (1,17) (15,7) (1,3) (18,20) (16,6) (1,0) (12,17) (5,4) (2,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph844", - "image": "data/cycle/graph_visual/Base/medium/graph844.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (22,16) (15,2) (20,7) (7,0) (12,14) (10,9) (8,7) (9,22) (15,13) (18,20) (4,21) (3,15) (0,9) (19,24) (0,14) (5,9) (13,21) (17,8) (6,13) (10,21) (1,11) (4,23) (23,19) (11,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1099", - "image": "data/cycle/graph_visual/Base/medium/graph1099.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (2,0) (13,10) (9,11) (13,6) (2,12) (1,0) (0,4) (8,1) (10,9) (7,9) (12,3) (4,5) (0,6) (4,3) (8,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1050", - "image": "data/cycle/graph_visual/Base/medium/graph1050.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (12,6) (10,12) (8,5) (4,0) (4,8) (3,8) (10,11) (0,6) (2,0) (2,9) (12,4) (0,3) (1,0) (9,7) (8,1) (9,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph576", - "image": "data/cycle/graph_visual/Base/medium/graph576.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (18,0) (8,18) (15,13) (1,17) (11,3) (15,5) (19,11) (16,2) (0,4) (10,2) (14,9) (6,0) (12,16) (10,8) (7,3) (17,9) (17,6) (19,18) (7,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1587", - "image": "data/cycle/graph_visual/Base/medium/graph1587.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (7,13) (0,15) (1,20) (1,4) (0,3) (0,1) (4,8) (1,18) (21,19) (1,10) (4,15) (7,17) (14,17) (0,2) (4,11) (3,12) (12,6) (3,17) (7,4) (21,9) (4,16) (14,21) (3,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1193", - "image": "data/cycle/graph_visual/Base/medium/graph1193.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (3,14) (1,0) (13,8) (5,14) (4,13) (3,0) (0,9) (11,3) (13,6) (12,13) (2,12) (0,2) (1,6) (0,14) (7,10) (0,7) (10,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph858", - "image": "data/cycle/graph_visual/Base/medium/graph858.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (22,15) (18,4) (24,6) (3,5) (21,1) (23,20) (3,13) (21,23) (4,9) (2,0) (8,12) (4,12) (4,19) (11,1) (1,4) (22,1) (0,15) (7,17) (7,4) (21,10) (7,14) (16,24) (17,24) (3,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph903", - "image": "data/cycle/graph_visual/Base/medium/graph903.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (5,10) (6,9) (1,4) (2,4) (3,4) (8,2) (0,2) (0,4) (1,0) (3,0) (9,7) (7,3) (7,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1352", - "image": "data/cycle/graph_visual/Base/medium/graph1352.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (0,3) (1,8) (0,2) (12,1) (0,5) (7,16) (12,11) (3,17) (4,0) (14,13) (1,0) (7,0) (12,4) (2,4) (9,0) (8,6) (16,15) (10,6) (9,5) (2,17) (14,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1028", - "image": "data/cycle/graph_visual/Base/medium/graph1028.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (2,6) (7,5) (3,0) (5,10) (1,0) (0,2) (8,10) (7,1) (6,0) (3,4) (0,5) (2,11) (10,4) (9,8) (0,4) (12,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1474", - "image": "data/cycle/graph_visual/Base/medium/graph1474.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (14,17) (6,12) (6,1) (13,10) (16,12) (9,12) (4,0) (17,15) (18,10) (19,14) (15,1) (0,1) (17,3) (18,6) (14,2) (15,5) (14,7) (8,15) (9,4) (11,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1029", - "image": "data/cycle/graph_visual/Base/medium/graph1029.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (1,9) (11,10) (4,2) (5,4) (5,12) (8,0) (9,11) (3,11) (11,6) (10,8) (1,0) (7,12) (7,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph293", - "image": "data/cycle/graph_visual/Base/medium/graph293.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (4,2) (9,13) (1,4) (6,3) (0,1) (11,2) (12,11) (11,7) (8,4) (10,1) (3,2) (14,5) (1,5) (13,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph871", - "image": "data/cycle/graph_visual/Base/medium/graph871.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (5,17) (16,7) (12,15) (13,8) (0,13) (14,5) (0,3) (1,8) (14,3) (24,13) (3,4) (21,8) (22,24) (14,6) (9,18) (2,18) (23,0) (6,16) (12,16) (15,10) (16,20) (19,9) (15,2) (18,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph527", - "image": "data/cycle/graph_visual/Base/medium/graph527.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (7,6) (4,0) (14,9) (5,16) (12,17) (15,10) (12,13) (1,2) (0,15) (8,10) (11,1) (5,0) (18,12) (16,7) (18,3) (16,11) (11,12) (13,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1287", - "image": "data/cycle/graph_visual/Base/medium/graph1287.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (7,13) (8,13) (0,2) (16,5) (9,15) (6,1) (6,8) (1,0) (3,2) (13,11) (8,10) (3,13) (14,4) (1,5) (5,14) (15,12) (1,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph390", - "image": "data/cycle/graph_visual/Base/medium/graph390.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (9,16) (0,3) (0,10) (9,8) (8,1) (2,15) (6,8) (5,15) (3,15) (3,9) (0,13) (9,14) (12,2) (4,13) (2,7) (10,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1297", - "image": "data/cycle/graph_visual/Base/medium/graph1297.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (6,14) (0,2) (15,12) (13,4) (8,5) (10,2) (15,10) (5,1) (3,1) (9,15) (0,1) (6,0) (0,11) (2,7) (13,8) (16,1) (14,15) (16,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1131", - "image": "data/cycle/graph_visual/Base/medium/graph1131.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (9,0) (10,13) (7,11) (9,1) (0,3) (12,4) (6,5) (7,3) (4,0) (8,9) (7,13) (6,7) (13,4) (2,0) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1513", - "image": "data/cycle/graph_visual/Base/medium/graph1513.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (4,14) (0,16) (7,3) (1,2) (14,3) (0,14) (11,18) (13,17) (9,1) (15,9) (18,16) (8,19) (13,12) (19,11) (5,4) (0,1) (19,10) (11,6) (12,20) (2,0) (19,17) (0,3) (13,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph964", - "image": "data/cycle/graph_visual/Base/medium/graph964.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (11,3) (7,1) (5,7) (6,2) (3,10) (4,7) (1,0) (2,1) (0,6) (9,3) (0,10) (0,8) (0,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph373", - "image": "data/cycle/graph_visual/Base/medium/graph373.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (0,7) (10,14) (4,9) (1,11) (13,5) (9,16) (3,15) (8,7) (7,6) (2,15) (8,13) (9,0) (14,7) (11,0) (12,13) (9,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph291", - "image": "data/cycle/graph_visual/Base/medium/graph291.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (7,12) (4,1) (10,3) (13,8) (2,11) (10,4) (4,0) (10,2) (9,14) (13,3) (14,5) (6,10) (10,12) (14,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1655", - "image": "data/cycle/graph_visual/Base/medium/graph1655.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (4,14) (1,0) (19,5) (0,5) (15,9) (3,1) (6,20) (21,3) (7,12) (6,8) (16,22) (15,18) (17,20) (2,0) (5,15) (6,7) (9,14) (13,15) (3,10) (10,11) (21,2) (10,16) (8,22) (8,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph748", - "image": "data/cycle/graph_visual/Base/medium/graph748.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (16,5) (2,21) (19,15) (17,16) (1,21) (10,17) (22,21) (12,4) (9,19) (11,1) (7,19) (22,13) (1,14) (13,18) (6,3) (22,6) (6,20) (8,13) (15,4) (20,5) (6,0) (7,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph272", - "image": "data/cycle/graph_visual/Base/medium/graph272.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (6,11) (3,5) (11,4) (12,4) (2,13) (14,0) (14,6) (8,10) (0,13) (9,11) (1,4) (10,13) (1,3) (7,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1198", - "image": "data/cycle/graph_visual/Base/medium/graph1198.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (7,2) (9,6) (4,14) (11,10) (11,4) (5,1) (12,3) (6,13) (0,1) (7,0) (13,10) (7,5) (8,4) (7,3) (0,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph568", - "image": "data/cycle/graph_visual/Base/medium/graph568.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (5,9) (12,4) (0,2) (14,0) (1,8) (14,17) (7,0) (8,6) (4,2) (3,17) (13,6) (15,12) (1,12) (19,9) (19,2) (16,18) (0,10) (16,7) (19,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1063", - "image": "data/cycle/graph_visual/Base/medium/graph1063.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (9,5) (8,3) (6,1) (6,12) (4,5) (8,4) (5,0) (7,10) (6,8) (2,1) (7,9) (6,11) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1426", - "image": "data/cycle/graph_visual/Base/medium/graph1426.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (10,3) (9,15) (15,16) (8,15) (8,2) (6,14) (13,3) (11,12) (13,5) (11,17) (1,7) (11,15) (0,1) (14,0) (4,18) (10,2) (8,14) (18,8) (1,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1386", - "image": "data/cycle/graph_visual/Base/medium/graph1386.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (8,11) (4,17) (9,8) (15,16) (4,18) (0,2) (15,3) (2,11) (18,5) (2,1) (14,9) (17,2) (13,18) (6,0) (10,11) (8,15) (7,9) (3,0) (1,0) (12,14) (6,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph726", - "image": "data/cycle/graph_visual/Base/medium/graph726.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (10,2) (18,13) (4,21) (9,17) (9,16) (0,20) (5,6) (21,7) (4,14) (0,14) (7,19) (4,10) (12,18) (3,7) (17,8) (22,5) (15,22) (18,0) (10,5) (12,8) (1,12) (12,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1696", - "image": "data/cycle/graph_visual/Base/medium/graph1696.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (0,13) (2,18) (21,11) (12,21) (1,20) (3,14) (12,5) (19,22) (15,16) (14,19) (10,0) (8,9) (23,22) (4,8) (10,2) (19,17) (22,5) (7,11) (0,1) (2,0) (1,23) (10,17) (3,0) (6,19) (5,4) (14,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph109", - "image": "data/cycle/graph_visual/Base/medium/graph109.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (5,6) (4,11) (2,1) (3,10) (3,2) (3,9) (4,1) (9,7) (0,6) (2,8) (3,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph583", - "image": "data/cycle/graph_visual/Base/medium/graph583.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (14,18) (8,19) (4,10) (3,2) (8,10) (14,15) (14,3) (16,17) (9,12) (11,3) (16,8) (10,5) (5,14) (16,1) (6,13) (7,3) (6,11) (9,5) (0,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph976", - "image": "data/cycle/graph_visual/Base/medium/graph976.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (0,3) (9,4) (4,0) (8,4) (0,1) (2,0) (8,7) (11,3) (0,7) (5,10) (8,6) (11,6) (3,10) (8,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1687", - "image": "data/cycle/graph_visual/Base/medium/graph1687.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (12,1) (13,23) (0,2) (5,19) (14,15) (7,8) (4,21) (12,4) (5,22) (4,0) (3,9) (10,14) (13,0) (17,15) (7,20) (9,6) (23,5) (20,0) (1,10) (2,18) (1,7) (18,9) (21,2) (0,1) (0,3) (16,8) (4,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1716", - "image": "data/cycle/graph_visual/Base/medium/graph1716.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (12,9) (8,16) (4,20) (20,21) (7,19) (13,2) (2,4) (0,2) (3,5) (0,22) (17,20) (6,15) (0,1) (0,23) (22,19) (6,14) (13,14) (1,15) (3,20) (18,6) (23,6) (21,11) (17,10) (8,22) (0,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph305", - "image": "data/cycle/graph_visual/Base/medium/graph305.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (0,5) (10,12) (6,7) (0,10) (6,14) (8,4) (13,11) (8,14) (4,11) (1,3) (2,9) (9,15) (12,14) (15,1) (15,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1330", - "image": "data/cycle/graph_visual/Base/medium/graph1330.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (17,1) (6,11) (11,16) (3,0) (8,2) (2,11) (4,5) (14,5) (0,1) (17,3) (3,7) (4,0) (4,9) (11,12) (3,13) (0,15) (15,3) (2,0) (10,12) (3,12) (5,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1303", - "image": "data/cycle/graph_visual/Base/medium/graph1303.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (5,2) (10,6) (15,6) (0,3) (13,4) (9,13) (6,16) (4,6) (7,3) (4,7) (4,1) (5,12) (4,5) (14,8) (12,14) (11,6) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph391", - "image": "data/cycle/graph_visual/Base/medium/graph391.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (5,11) (1,15) (14,0) (3,4) (10,8) (9,15) (6,7) (15,3) (12,8) (3,16) (10,14) (2,16) (5,3) (7,13) (1,14) (11,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1251", - "image": "data/cycle/graph_visual/Base/medium/graph1251.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (0,1) (11,14) (7,8) (4,8) (12,1) (2,10) (6,11) (14,3) (1,10) (0,10) (5,14) (13,2) (5,12) (4,5) (9,0) (15,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1750", - "image": "data/cycle/graph_visual/Base/medium/graph1750.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (6,18) (7,2) (16,20) (6,19) (20,22) (8,4) (1,13) (11,4) (0,1) (14,3) (0,15) (15,6) (2,0) (23,2) (9,5) (11,9) (22,24) (14,1) (1,2) (17,6) (1,12) (5,21) (9,17) (4,13) (15,20) (12,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph836", - "image": "data/cycle/graph_visual/Base/medium/graph836.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (6,4) (15,19) (14,19) (13,12) (11,19) (9,22) (4,14) (5,22) (19,17) (12,23) (13,16) (3,10) (21,8) (2,1) (3,14) (18,11) (20,15) (0,21) (7,11) (16,0) (1,9) (22,18) (13,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph868", - "image": "data/cycle/graph_visual/Base/medium/graph868.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (19,2) (5,6) (7,14) (14,8) (20,17) (3,4) (18,24) (13,11) (1,22) (23,19) (7,6) (0,6) (10,3) (24,9) (21,22) (21,18) (24,7) (7,17) (24,10) (15,21) (12,17) (11,18) (16,12) (18,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph61", - "image": "data/cycle/graph_visual/Base/medium/graph61.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (3,0) (8,5) (11,7) (7,2) (9,11) (10,5) (1,10) (7,1) (2,6) (4,0) (11,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph821", - "image": "data/cycle/graph_visual/Base/medium/graph821.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (0,22) (2,19) (21,6) (17,7) (8,18) (10,20) (13,22) (19,11) (10,2) (7,3) (6,23) (3,11) (18,0) (15,9) (14,16) (6,18) (17,9) (17,1) (4,0) (13,16) (8,20) (15,5) (20,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph34", - "image": "data/cycle/graph_visual/Base/medium/graph34.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (6,1) (0,7) (2,6) (10,2) (8,9) (0,5) (3,5) (10,5) (0,8) (3,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1349", - "image": "data/cycle/graph_visual/Base/medium/graph1349.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (9,12) (11,3) (9,10) (2,0) (0,14) (3,15) (0,1) (3,0) (13,14) (10,5) (17,6) (4,17) (3,13) (16,12) (16,2) (7,0) (16,6) (0,6) (2,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1685", - "image": "data/cycle/graph_visual/Base/medium/graph1685.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (1,17) (21,16) (15,11) (1,0) (8,15) (23,18) (14,2) (16,5) (17,9) (16,19) (0,2) (3,0) (8,6) (20,22) (19,0) (20,6) (4,13) (18,1) (12,0) (17,3) (7,23) (0,4) (20,23) (20,2) (6,19) (10,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1530", - "image": "data/cycle/graph_visual/Base/medium/graph1530.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (17,18) (10,0) (3,4) (18,13) (6,2) (13,1) (7,8) (16,19) (12,7) (4,14) (20,19) (16,7) (8,11) (0,2) (6,7) (5,20) (3,0) (0,1) (9,3) (2,15) (3,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1103", - "image": "data/cycle/graph_visual/Base/medium/graph1103.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (12,13) (2,11) (10,12) (0,3) (1,8) (4,9) (5,1) (0,1) (6,13) (3,5) (0,2) (7,12) (3,9) (13,11) (7,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph381", - "image": "data/cycle/graph_visual/Base/medium/graph381.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (13,0) (7,5) (1,9) (11,16) (2,14) (2,7) (7,13) (6,14) (10,13) (14,12) (15,10) (9,3) (8,16) (9,14) (14,8) (16,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1279", - "image": "data/cycle/graph_visual/Base/medium/graph1279.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (14,3) (2,11) (11,3) (0,1) (2,7) (4,6) (0,2) (5,12) (4,7) (13,5) (10,5) (1,16) (1,13) (7,8) (10,15) (0,9) (0,14) (1,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph406", - "image": "data/cycle/graph_visual/Base/medium/graph406.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (8,6) (12,5) (13,9) (1,3) (15,11) (3,10) (2,14) (15,5) (16,8) (4,7) (10,15) (5,0) (8,14) (6,15) (6,7) (14,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1147", - "image": "data/cycle/graph_visual/Base/medium/graph1147.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (10,3) (9,8) (11,4) (0,1) (2,3) (7,3) (12,2) (0,2) (5,6) (11,6) (6,0) (4,1) (14,6) (2,9) (12,1) (13,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1573", - "image": "data/cycle/graph_visual/Base/medium/graph1573.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (14,18) (0,1) (17,19) (18,11) (21,17) (4,21) (13,17) (2,15) (9,1) (8,0) (2,5) (11,10) (18,3) (15,6) (0,2) (6,13) (16,15) (12,4) (10,0) (8,15) (3,0) (21,20) (8,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph197", - "image": "data/cycle/graph_visual/Base/medium/graph197.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (9,11) (13,7) (13,12) (4,2) (0,8) (12,5) (6,11) (11,3) (10,11) (8,10) (9,1) (5,4) (0,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1237", - "image": "data/cycle/graph_visual/Base/medium/graph1237.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (0,2) (15,6) (10,0) (3,15) (12,7) (0,3) (1,4) (15,4) (0,4) (2,9) (5,4) (7,6) (8,6) (6,14) (10,5) (9,13) (4,13) (1,0) (3,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1293", - "image": "data/cycle/graph_visual/Base/medium/graph1293.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (6,9) (0,2) (1,0) (13,15) (12,16) (3,0) (14,13) (2,12) (5,3) (4,2) (4,11) (3,12) (14,6) (0,6) (8,10) (0,7) (8,6) (1,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph503", - "image": "data/cycle/graph_visual/Base/medium/graph503.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (12,13) (14,4) (1,2) (5,18) (12,5) (17,13) (3,14) (3,8) (14,13) (11,16) (15,18) (4,6) (16,0) (9,15) (10,0) (1,9) (11,7) (11,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph955", - "image": "data/cycle/graph_visual/Base/medium/graph955.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (9,8) (8,3) (4,2) (9,1) (7,10) (1,0) (3,0) (9,10) (2,0) (5,2) (5,9) (7,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph419", - "image": "data/cycle/graph_visual/Base/medium/graph419.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (8,4) (1,2) (14,16) (4,12) (15,0) (14,7) (4,0) (11,12) (13,7) (11,5) (14,0) (7,10) (3,11) (2,5) (6,9) (9,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1070", - "image": "data/cycle/graph_visual/Base/medium/graph1070.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (1,4) (7,10) (5,12) (12,3) (2,0) (4,8) (1,6) (12,7) (7,1) (0,1) (9,2) (9,12) (11,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1023", - "image": "data/cycle/graph_visual/Base/medium/graph1023.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (1,0) (2,6) (0,6) (8,11) (5,1) (4,0) (5,3) (0,3) (2,0) (8,4) (6,12) (2,3) (9,11) (4,6) (9,7) (10,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1660", - "image": "data/cycle/graph_visual/Base/medium/graph1660.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (17,4) (9,15) (5,9) (18,10) (14,19) (14,7) (12,6) (1,15) (15,17) (3,14) (0,5) (2,19) (12,18) (0,4) (6,1) (17,2) (13,7) (12,11) (6,20) (21,14) (22,17) (0,3) (10,16) (15,8) (2,0) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1365", - "image": "data/cycle/graph_visual/Base/medium/graph1365.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (3,16) (8,2) (15,2) (14,0) (0,4) (0,10) (10,12) (11,9) (3,9) (1,17) (15,9) (0,3) (4,8) (1,0) (0,5) (6,15) (7,8) (13,2) (1,9) (0,2) (13,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1336", - "image": "data/cycle/graph_visual/Base/medium/graph1336.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (0,2) (3,0) (17,11) (4,12) (0,7) (4,1) (9,8) (13,8) (15,6) (0,1) (14,6) (13,1) (3,10) (2,6) (5,11) (16,0) (17,12) (3,9) (15,12) (7,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1392", - "image": "data/cycle/graph_visual/Base/medium/graph1392.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (6,17) (11,9) (11,8) (7,16) (18,2) (2,0) (17,0) (11,5) (12,15) (9,4) (2,14) (3,5) (0,1) (0,14) (1,2) (14,7) (7,10) (4,12) (4,0) (13,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1575", - "image": "data/cycle/graph_visual/Base/medium/graph1575.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (16,0) (19,16) (0,1) (4,0) (20,17) (12,17) (1,8) (7,10) (0,3) (15,9) (10,2) (21,18) (4,7) (21,15) (11,6) (8,0) (17,4) (5,6) (13,19) (0,2) (0,15) (3,6) (20,8) (3,9) (7,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1472", - "image": "data/cycle/graph_visual/Base/medium/graph1472.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (9,1) (13,3) (1,10) (18,14) (19,18) (16,6) (1,8) (17,6) (12,2) (0,6) (2,0) (3,18) (11,8) (16,19) (0,3) (1,0) (0,4) (15,7) (9,18) (15,3) (13,12) (9,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph564", - "image": "data/cycle/graph_visual/Base/medium/graph564.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (2,9) (11,18) (4,5) (1,14) (19,7) (13,18) (4,12) (2,13) (1,6) (11,3) (17,13) (2,1) (7,2) (10,0) (12,3) (17,10) (6,16) (8,1) (15,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1270", - "image": "data/cycle/graph_visual/Base/medium/graph1270.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (10,12) (0,7) (8,6) (0,3) (0,15) (2,3) (4,6) (14,8) (1,9) (0,4) (16,12) (14,16) (7,14) (9,5) (13,11) (4,11) (13,9) (0,2) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph922", - "image": "data/cycle/graph_visual/Base/medium/graph922.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (4,10) (1,5) (9,8) (5,3) (7,4) (9,6) (8,4) (6,2) (3,2) (0,4) (0,1) (2,0) (3,0) (0,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph501", - "image": "data/cycle/graph_visual/Base/medium/graph501.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (14,3) (3,1) (3,11) (8,16) (16,0) (11,6) (9,7) (13,14) (2,10) (5,10) (16,15) (9,5) (10,8) (12,6) (3,4) (8,18) (14,5) (17,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1742", - "image": "data/cycle/graph_visual/Base/medium/graph1742.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (0,2) (9,18) (8,16) (23,5) (18,2) (20,0) (14,15) (3,0) (1,10) (5,4) (23,13) (12,22) (15,17) (4,24) (21,4) (8,7) (1,12) (9,6) (0,1) (7,20) (7,1) (10,14) (3,9) (11,4) (5,19) (13,0) (21,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1163", - "image": "data/cycle/graph_visual/Base/medium/graph1163.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (2,0) (9,3) (5,2) (9,0) (13,1) (8,2) (9,10) (4,3) (10,7) (8,6) (9,11) (9,1) (1,0) (7,12) (14,5) (0,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph260", - "image": "data/cycle/graph_visual/Base/medium/graph260.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (9,14) (1,12) (0,2) (8,3) (8,12) (13,10) (5,11) (6,8) (4,8) (11,2) (12,2) (13,7) (7,0) (14,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1123", - "image": "data/cycle/graph_visual/Base/medium/graph1123.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (0,2) (4,0) (11,7) (5,0) (0,1) (10,13) (7,3) (6,0) (7,6) (13,4) (9,1) (9,0) (0,3) (8,9) (6,5) (7,13) (4,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph192", - "image": "data/cycle/graph_visual/Base/medium/graph192.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (13,1) (3,6) (4,5) (6,8) (11,12) (2,5) (3,1) (0,10) (13,0) (11,0) (9,5) (10,7) (12,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1632", - "image": "data/cycle/graph_visual/Base/medium/graph1632.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (1,13) (1,0) (2,7) (1,2) (5,9) (4,13) (2,21) (0,2) (8,4) (6,19) (6,17) (15,6) (12,1) (6,18) (20,5) (16,20) (12,10) (14,3) (1,14) (11,9) (17,9) (15,22) (15,0) (4,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph738", - "image": "data/cycle/graph_visual/Base/medium/graph738.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (11,12) (15,1) (9,15) (17,4) (14,3) (12,6) (21,14) (7,13) (9,5) (4,0) (17,15) (20,6) (1,6) (22,17) (10,16) (7,14) (14,19) (19,2) (12,18) (10,18) (15,8) (2,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1623", - "image": "data/cycle/graph_visual/Base/medium/graph1623.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (18,20) (19,16) (1,13) (2,0) (0,1) (10,0) (4,3) (7,6) (6,2) (17,15) (8,7) (22,0) (5,20) (3,21) (19,0) (18,13) (8,11) (9,3) (4,14) (2,17) (21,2) (3,0) (12,7) (7,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1335", - "image": "data/cycle/graph_visual/Base/medium/graph1335.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (0,1) (6,1) (6,2) (11,2) (5,9) (12,14) (17,10) (8,2) (2,0) (7,5) (4,3) (17,11) (0,3) (15,9) (12,10) (13,12) (16,15) (12,16) (9,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph418", - "image": "data/cycle/graph_visual/Base/medium/graph418.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (4,7) (0,15) (7,3) (0,2) (4,12) (3,11) (4,8) (4,1) (16,7) (10,4) (9,1) (1,15) (12,6) (1,14) (5,3) (13,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph776", - "image": "data/cycle/graph_visual/Base/medium/graph776.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (3,21) (7,21) (11,14) (19,5) (9,19) (15,1) (13,14) (4,14) (21,0) (18,16) (20,8) (21,19) (12,9) (14,20) (6,2) (17,11) (13,12) (16,3) (16,10) (22,4) (2,19) (1,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph112", - "image": "data/cycle/graph_visual/Base/medium/graph112.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (7,10) (2,6) (2,10) (10,4) (9,10) (3,2) (4,0) (8,3) (4,1) (10,5) (11,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph310", - "image": "data/cycle/graph_visual/Base/medium/graph310.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (9,3) (10,11) (12,10) (14,2) (14,15) (4,15) (6,12) (5,15) (14,7) (6,1) (7,9) (0,4) (1,15) (6,13) (12,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1191", - "image": "data/cycle/graph_visual/Base/medium/graph1191.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (3,12) (2,0) (2,10) (4,6) (13,10) (8,3) (6,9) (11,14) (2,7) (0,11) (2,3) (2,9) (1,10) (1,0) (13,5) (11,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1233", - "image": "data/cycle/graph_visual/Base/medium/graph1233.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (3,6) (1,0) (9,11) (5,7) (10,5) (4,2) (8,14) (0,6) (15,3) (14,15) (11,2) (7,15) (13,4) (1,4) (12,7) (11,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph54", - "image": "data/cycle/graph_visual/Base/medium/graph54.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (1,6) (8,2) (9,0) (9,6) (10,2) (3,10) (9,8) (0,5) (1,4) (3,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph280", - "image": "data/cycle/graph_visual/Base/medium/graph280.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (6,12) (7,1) (7,14) (13,11) (3,6) (12,10) (13,7) (0,5) (8,9) (0,11) (9,2) (8,10) (14,10) (4,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph350", - "image": "data/cycle/graph_visual/Base/medium/graph350.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (6,2) (4,10) (6,13) (8,13) (13,14) (1,5) (13,5) (4,15) (6,0) (15,7) (12,7) (1,11) (9,1) (7,0) (3,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph925", - "image": "data/cycle/graph_visual/Base/medium/graph925.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (9,10) (4,1) (7,3) (8,3) (3,6) (4,0) (5,0) (5,9) (1,5) (3,0) (7,5) (0,2) (0,1) (9,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph672", - "image": "data/cycle/graph_visual/Base/medium/graph672.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (8,7) (16,14) (15,11) (3,21) (6,12) (20,6) (6,7) (4,21) (18,1) (13,14) (2,0) (12,5) (5,9) (5,2) (19,18) (14,17) (14,8) (19,11) (10,14) (6,15) (12,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph58", - "image": "data/cycle/graph_visual/Base/medium/graph58.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (8,2) (5,4) (1,7) (8,3) (0,7) (6,2) (5,0) (3,5) (7,10) (9,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph376", - "image": "data/cycle/graph_visual/Base/medium/graph376.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (5,8) (0,12) (14,16) (7,3) (15,7) (5,14) (6,10) (11,16) (13,4) (12,1) (5,4) (14,10) (3,4) (2,6) (0,10) (9,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1558", - "image": "data/cycle/graph_visual/Base/medium/graph1558.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (0,1) (7,0) (4,2) (0,20) (19,9) (0,14) (1,12) (18,4) (19,16) (11,19) (12,17) (16,7) (1,8) (2,14) (8,6) (12,20) (6,15) (20,13) (0,10) (9,5) (3,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1704", - "image": "data/cycle/graph_visual/Base/medium/graph1704.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (3,0) (0,2) (17,18) (10,3) (9,7) (11,0) (9,23) (0,5) (3,21) (8,22) (1,0) (20,14) (13,18) (2,20) (14,15) (19,23) (16,0) (0,4) (11,8) (17,1) (11,6) (5,13) (12,1) (21,15) (4,6) (10,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1075", - "image": "data/cycle/graph_visual/Base/medium/graph1075.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (5,6) (10,1) (1,2) (6,2) (3,6) (3,12) (4,0) (11,4) (1,0) (0,3) (2,0) (11,8) (8,9) (7,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1410", - "image": "data/cycle/graph_visual/Base/medium/graph1410.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (14,2) (15,1) (6,16) (1,0) (13,10) (17,3) (17,18) (14,7) (18,10) (9,4) (8,15) (5,15) (17,15) (6,12) (12,14) (4,0) (1,6) (11,7) (12,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph995", - "image": "data/cycle/graph_visual/Base/medium/graph995.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (10,5) (3,10) (3,0) (1,0) (2,7) (6,8) (2,1) (0,4) (9,5) (11,6) (5,0) (8,5) (1,9) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph786", - "image": "data/cycle/graph_visual/Base/medium/graph786.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (2,10) (20,12) (3,16) (3,12) (23,15) (18,0) (22,6) (23,9) (6,23) (23,7) (0,8) (13,3) (5,10) (14,0) (0,1) (18,6) (2,22) (20,17) (14,13) (21,16) (4,17) (16,11) (9,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph281", - "image": "data/cycle/graph_visual/Base/medium/graph281.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (14,12) (9,12) (11,14) (9,7) (12,4) (8,4) (9,2) (10,13) (8,3) (5,8) (1,8) (10,12) (6,0) (6,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph560", - "image": "data/cycle/graph_visual/Base/medium/graph560.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (6,0) (2,12) (4,16) (13,14) (2,4) (12,7) (17,9) (8,6) (15,8) (10,0) (2,18) (12,0) (11,6) (5,3) (13,17) (3,19) (14,6) (19,0) (1,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1683", - "image": "data/cycle/graph_visual/Base/medium/graph1683.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (10,5) (11,6) (20,8) (8,10) (12,3) (3,11) (3,14) (4,3) (13,9) (18,16) (14,17) (7,10) (9,5) (0,22) (19,1) (0,1) (16,8) (2,0) (16,19) (0,19) (22,23) (15,6) (14,5) (2,16) (21,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph956", - "image": "data/cycle/graph_visual/Base/medium/graph956.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (3,0) (0,5) (6,1) (2,10) (0,2) (0,1) (10,5) (8,0) (9,8) (0,7) (4,3) (5,3) (2,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1277", - "image": "data/cycle/graph_visual/Base/medium/graph1277.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (11,10) (16,0) (5,7) (8,15) (6,8) (12,11) (3,5) (0,1) (12,0) (12,7) (16,13) (4,7) (14,9) (14,10) (2,16) (8,12) (7,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph216", - "image": "data/cycle/graph_visual/Base/medium/graph216.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (3,6) (1,7) (11,13) (5,0) (10,7) (10,8) (4,7) (8,9) (10,12) (0,11) (12,6) (9,2) (13,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1634", - "image": "data/cycle/graph_visual/Base/medium/graph1634.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (22,1) (14,18) (15,12) (10,3) (22,14) (2,19) (7,11) (11,9) (5,6) (19,18) (21,13) (10,18) (19,21) (8,14) (7,21) (6,0) (17,7) (12,17) (3,4) (0,1) (6,7) (16,17) (18,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1698", - "image": "data/cycle/graph_visual/Base/medium/graph1698.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (1,0) (23,10) (5,9) (15,17) (3,0) (21,16) (0,2) (8,23) (23,11) (6,9) (9,2) (7,2) (10,12) (13,23) (12,17) (23,4) (19,15) (22,13) (11,2) (6,1) (14,5) (12,20) (16,12) (21,18) (4,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1205", - "image": "data/cycle/graph_visual/Base/medium/graph1205.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (3,7) (6,10) (9,13) (15,6) (1,0) (4,6) (14,12) (7,4) (4,1) (8,14) (5,2) (0,2) (6,11) (3,0) (4,0) (12,5) (4,13) (5,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph752", - "image": "data/cycle/graph_visual/Base/medium/graph752.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (3,21) (11,3) (12,15) (19,21) (7,10) (1,8) (7,22) (2,14) (10,16) (10,13) (17,2) (9,22) (20,17) (4,2) (11,10) (20,6) (7,18) (7,8) (17,15) (0,15) (4,11) (11,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1295", - "image": "data/cycle/graph_visual/Base/medium/graph1295.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (1,0) (0,15) (2,1) (2,9) (15,6) (13,4) (12,10) (5,6) (1,12) (16,4) (3,14) (13,1) (11,1) (5,9) (7,2) (8,4) (14,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph243", - "image": "data/cycle/graph_visual/Base/medium/graph243.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (4,1) (7,10) (11,7) (13,0) (2,4) (0,14) (4,3) (12,5) (9,2) (9,8) (14,5) (7,14) (3,12) (6,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph505", - "image": "data/cycle/graph_visual/Base/medium/graph505.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (5,17) (12,2) (5,10) (10,9) (15,11) (10,18) (6,7) (11,2) (4,17) (15,1) (0,15) (13,0) (8,9) (14,12) (16,11) (10,14) (3,5) (6,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph265", - "image": "data/cycle/graph_visual/Base/medium/graph265.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (12,7) (9,0) (7,10) (5,14) (9,1) (8,2) (3,9) (9,11) (5,2) (0,14) (9,10) (6,8) (1,13) (3,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph808", - "image": "data/cycle/graph_visual/Base/medium/graph808.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (13,20) (23,12) (7,5) (1,18) (13,5) (22,16) (21,18) (5,21) (9,15) (11,2) (11,16) (8,9) (11,23) (20,12) (0,1) (8,19) (19,6) (23,10) (21,14) (3,2) (4,2) (1,19) (17,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1009", - "image": "data/cycle/graph_visual/Base/medium/graph1009.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (3,1) (7,0) (2,0) (0,1) (0,5) (8,2) (6,11) (4,0) (0,3) (3,2) (11,10) (9,0) (8,5) (10,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph402", - "image": "data/cycle/graph_visual/Base/medium/graph402.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (7,5) (4,16) (15,10) (1,9) (14,6) (14,8) (16,11) (14,12) (9,14) (2,7) (7,13) (13,0) (2,14) (9,3) (8,16) (10,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph899", - "image": "data/cycle/graph_visual/Base/medium/graph899.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (6,13) (8,9) (16,4) (23,13) (19,14) (23,3) (2,20) (9,1) (17,8) (15,18) (2,0) (17,3) (22,2) (4,22) (21,11) (23,24) (5,22) (14,7) (23,11) (9,12) (10,7) (15,5) (14,16) (5,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1376", - "image": "data/cycle/graph_visual/Base/medium/graph1376.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (8,2) (8,11) (9,2) (15,7) (7,16) (11,12) (2,6) (15,0) (12,5) (1,8) (8,10) (7,5) (10,14) (0,1) (3,9) (17,15) (13,17) (0,2) (6,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph110", - "image": "data/cycle/graph_visual/Base/medium/graph110.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (5,10) (1,2) (8,5) (6,11) (0,4) (10,3) (9,5) (1,0) (6,8) (9,1) (7,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph130", - "image": "data/cycle/graph_visual/Base/medium/graph130.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (9,11) (7,2) (11,5) (8,1) (11,0) (4,11) (6,7) (7,12) (8,10) (9,1) (9,3) (3,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph457", - "image": "data/cycle/graph_visual/Base/medium/graph457.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (15,0) (5,1) (12,10) (11,6) (11,2) (15,3) (11,12) (4,5) (3,12) (16,11) (3,17) (1,17) (9,4) (14,5) (13,3) (7,3) (2,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1555", - "image": "data/cycle/graph_visual/Base/medium/graph1555.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (9,5) (15,3) (14,0) (10,9) (10,4) (11,1) (14,12) (20,16) (15,13) (19,20) (18,9) (8,13) (4,0) (15,2) (0,2) (0,3) (1,0) (9,0) (19,4) (11,7) (7,17) (6,13) (0,7) (7,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph948", - "image": "data/cycle/graph_visual/Base/medium/graph948.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (8,10) (6,5) (1,0) (3,9) (1,7) (0,4) (3,6) (8,5) (10,2) (8,0) (8,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph682", - "image": "data/cycle/graph_visual/Base/medium/graph682.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (3,6) (8,0) (14,17) (8,7) (15,18) (10,9) (3,10) (19,2) (16,15) (11,3) (2,21) (5,17) (1,4) (4,6) (12,8) (17,10) (2,12) (21,20) (20,13) (19,16) (0,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1644", - "image": "data/cycle/graph_visual/Base/medium/graph1644.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (5,0) (2,21) (15,10) (3,4) (6,22) (16,10) (21,8) (13,20) (10,4) (14,18) (13,14) (7,4) (9,8) (20,11) (3,12) (21,1) (15,18) (5,19) (13,6) (13,0) (18,17) (2,3) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1317", - "image": "data/cycle/graph_visual/Base/medium/graph1317.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (14,16) (0,1) (11,4) (8,1) (12,1) (12,14) (13,0) (10,12) (3,0) (0,5) (0,4) (0,6) (4,2) (2,0) (7,0) (3,9) (8,6) (16,2) (15,7) (6,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph317", - "image": "data/cycle/graph_visual/Base/medium/graph317.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (13,11) (15,12) (14,5) (2,3) (6,1) (7,13) (4,14) (13,8) (9,1) (0,2) (8,6) (10,8) (1,15) (5,9) (3,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1640", - "image": "data/cycle/graph_visual/Base/medium/graph1640.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (16,18) (0,17) (2,8) (16,5) (3,12) (7,5) (17,4) (19,21) (10,11) (22,18) (12,17) (7,20) (2,0) (12,14) (13,17) (8,13) (19,1) (7,12) (22,6) (11,9) (0,1) (11,0) (15,11) (12,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1672", - "image": "data/cycle/graph_visual/Base/medium/graph1672.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (0,22) (0,1) (15,14) (1,17) (14,19) (14,4) (15,7) (10,2) (3,0) (11,3) (9,7) (6,9) (0,2) (6,8) (16,9) (5,12) (9,18) (11,1) (10,17) (13,12) (21,9) (2,20) (7,13) (7,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1763", - "image": "data/cycle/graph_visual/Base/medium/graph1763.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (19,12) (15,22) (4,20) (2,11) (0,1) (14,5) (22,21) (10,13) (2,10) (8,16) (23,6) (0,19) (21,10) (2,0) (18,5) (19,14) (24,7) (8,4) (9,22) (2,1) (13,4) (17,11) (24,3) (9,6) (7,0) (18,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph779", - "image": "data/cycle/graph_visual/Base/medium/graph779.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (22,21) (15,22) (9,0) (5,14) (1,10) (0,19) (3,16) (7,2) (5,19) (12,14) (17,5) (7,4) (8,7) (22,13) (3,20) (4,6) (13,20) (8,1) (19,10) (17,21) (18,11) (2,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1085", - "image": "data/cycle/graph_visual/Base/medium/graph1085.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (1,2) (6,7) (11,10) (4,3) (0,4) (13,10) (0,2) (1,0) (13,2) (5,0) (3,0) (10,12) (5,1) (5,9) (2,7) (4,11) (7,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph107", - "image": "data/cycle/graph_visual/Base/medium/graph107.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (6,1) (4,9) (3,10) (7,4) (2,0) (8,7) (8,11) (3,7) (6,10) (11,2) (5,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1769", - "image": "data/cycle/graph_visual/Base/medium/graph1769.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (4,13) (14,19) (0,2) (15,13) (13,12) (19,7) (6,1) (18,21) (17,23) (3,1) (18,14) (9,10) (17,14) (10,16) (2,24) (12,2) (14,4) (17,10) (11,17) (11,8) (16,22) (3,5) (5,2) (0,21) (13,20) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1388", - "image": "data/cycle/graph_visual/Base/medium/graph1388.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (5,4) (1,0) (5,3) (17,8) (0,2) (1,18) (5,14) (0,3) (0,5) (13,5) (0,15) (16,12) (9,10) (7,2) (5,8) (11,5) (18,15) (0,4) (14,7) (6,2) (16,0) (11,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1755", - "image": "data/cycle/graph_visual/Base/medium/graph1755.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (0,17) (9,3) (19,24) (22,15) (0,7) (14,13) (6,22) (1,0) (20,1) (17,12) (23,10) (9,21) (7,23) (12,15) (20,21) (16,4) (8,11) (3,5) (23,8) (12,18) (2,6) (1,13) (4,20) (6,21) (23,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph782", - "image": "data/cycle/graph_visual/Base/medium/graph782.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (9,19) (19,17) (23,22) (7,23) (5,20) (4,15) (19,13) (18,16) (20,7) (0,23) (17,10) (12,4) (22,13) (6,2) (21,15) (13,6) (23,1) (21,13) (14,1) (5,16) (3,21) (11,1) (6,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1391", - "image": "data/cycle/graph_visual/Base/medium/graph1391.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (1,7) (3,0) (12,0) (5,13) (11,8) (4,0) (8,17) (2,14) (16,1) (0,1) (18,9) (4,6) (18,10) (10,3) (13,17) (3,15) (0,11) (11,6) (14,15) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph717", - "image": "data/cycle/graph_visual/Base/medium/graph717.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (9,13) (19,21) (0,12) (1,16) (3,10) (3,8) (8,11) (3,4) (7,0) (4,16) (14,0) (11,19) (7,15) (18,16) (10,9) (2,17) (11,5) (12,11) (13,2) (18,20) (6,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph269", - "image": "data/cycle/graph_visual/Base/medium/graph269.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (14,1) (8,1) (4,2) (7,4) (12,8) (14,6) (7,10) (1,0) (3,9) (13,4) (3,12) (12,13) (5,6) (4,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1274", - "image": "data/cycle/graph_visual/Base/medium/graph1274.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (12,16) (13,15) (2,0) (8,6) (11,4) (6,9) (0,6) (12,2) (1,0) (0,7) (8,10) (12,3) (6,14) (1,15) (4,2) (14,13) (5,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1137", - "image": "data/cycle/graph_visual/Base/medium/graph1137.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (0,4) (12,1) (13,7) (0,12) (1,0) (8,11) (6,8) (12,2) (3,12) (3,0) (2,0) (8,13) (5,0) (9,5) (11,5) (10,0) (1,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph348", - "image": "data/cycle/graph_visual/Base/medium/graph348.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (4,12) (10,0) (11,8) (2,15) (9,0) (5,11) (13,6) (3,8) (5,0) (1,6) (7,6) (2,9) (7,12) (8,14) (12,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph702", - "image": "data/cycle/graph_visual/Base/medium/graph702.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (8,11) (21,7) (2,20) (1,9) (13,5) (0,1) (10,3) (11,0) (13,0) (17,16) (18,12) (4,6) (14,15) (0,2) (10,7) (17,1) (20,3) (6,11) (8,18) (21,15) (14,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1378", - "image": "data/cycle/graph_visual/Base/medium/graph1378.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (15,5) (0,1) (2,0) (17,16) (9,4) (4,0) (7,14) (11,6) (5,6) (17,2) (9,14) (12,16) (4,2) (16,10) (14,8) (15,13) (1,17) (3,5) (0,14) (3,14) (3,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1779", - "image": "data/cycle/graph_visual/Base/medium/graph1779.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (5,3) (14,8) (19,11) (14,13) (10,5) (12,5) (15,11) (9,21) (1,0) (21,4) (22,6) (23,2) (24,12) (15,6) (24,2) (19,21) (12,6) (17,14) (1,18) (8,7) (7,6) (23,16) (20,14) (14,18) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1102", - "image": "data/cycle/graph_visual/Base/medium/graph1102.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (6,8) (10,8) (13,7) (1,0) (8,5) (4,7) (1,8) (2,12) (7,6) (2,0) (9,5) (2,13) (13,3) (0,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph946", - "image": "data/cycle/graph_visual/Base/medium/graph946.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (4,7) (2,7) (7,5) (8,2) (9,10) (1,0) (0,4) (6,9) (1,8) (9,4) (3,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph482", - "image": "data/cycle/graph_visual/Base/medium/graph482.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (4,18) (17,13) (2,6) (11,4) (1,16) (4,7) (6,3) (7,0) (1,14) (6,0) (16,7) (6,13) (13,5) (15,12) (10,1) (17,9) (8,13) (5,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1114", - "image": "data/cycle/graph_visual/Base/medium/graph1114.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (0,7) (6,1) (11,10) (6,2) (12,8) (5,3) (0,11) (9,8) (13,5) (0,1) (13,0) (4,3) (5,12) (10,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1318", - "image": "data/cycle/graph_visual/Base/medium/graph1318.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (15,10) (10,7) (12,16) (15,14) (15,1) (3,0) (16,8) (9,2) (0,2) (5,0) (9,6) (1,3) (1,0) (12,14) (11,13) (4,11) (16,0) (14,6) (4,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph892", - "image": "data/cycle/graph_visual/Base/medium/graph892.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (24,21) (3,22) (22,8) (4,14) (15,13) (16,21) (20,6) (16,10) (14,8) (20,17) (6,8) (11,10) (5,15) (19,5) (23,24) (9,14) (12,7) (10,3) (9,15) (1,3) (2,21) (0,5) (18,15) (7,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1662", - "image": "data/cycle/graph_visual/Base/medium/graph1662.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (3,9) (11,8) (3,0) (15,7) (20,1) (0,10) (9,20) (0,1) (19,2) (15,17) (4,8) (22,8) (2,16) (13,9) (12,2) (9,18) (10,14) (19,1) (15,0) (0,2) (6,13) (5,8) (21,3) (4,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph944", - "image": "data/cycle/graph_visual/Base/medium/graph944.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (5,6) (9,5) (4,7) (1,8) (3,7) (0,4) (0,1) (1,10) (8,6) (0,3) (6,2) (2,0) (7,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1737", - "image": "data/cycle/graph_visual/Base/medium/graph1737.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (0,4) (23,7) (19,9) (2,0) (21,19) (14,13) (11,14) (15,1) (12,23) (16,3) (12,9) (0,3) (1,0) (1,20) (21,6) (18,16) (4,19) (14,20) (17,11) (3,21) (14,23) (22,13) (16,10) (0,21) (2,5) (20,8) (2,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph118", - "image": "data/cycle/graph_visual/Base/medium/graph118.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (8,2) (11,3) (1,6) (6,5) (0,4) (7,5) (10,8) (5,9) (8,6) (6,4) (11,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1351", - "image": "data/cycle/graph_visual/Base/medium/graph1351.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (17,5) (6,8) (11,6) (2,0) (4,2) (0,3) (9,4) (12,2) (14,15) (6,5) (16,0) (12,1) (5,10) (9,0) (14,13) (7,5) (1,0) (14,3) (5,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1413", - "image": "data/cycle/graph_visual/Base/medium/graph1413.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (13,12) (4,6) (4,11) (14,7) (9,10) (8,14) (11,15) (18,5) (0,2) (12,16) (3,2) (8,6) (13,9) (14,0) (17,7) (16,0) (1,0) (1,9) (0,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1651", - "image": "data/cycle/graph_visual/Base/medium/graph1651.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (3,9) (19,0) (3,4) (16,7) (6,7) (18,20) (19,16) (13,1) (10,0) (1,0) (14,4) (12,7) (0,2) (22,0) (5,20) (2,17) (17,15) (2,21) (21,3) (11,8) (2,6) (7,8) (13,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph854", - "image": "data/cycle/graph_visual/Base/medium/graph854.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (3,23) (0,20) (11,15) (13,17) (11,9) (19,2) (21,17) (7,12) (14,19) (4,12) (11,5) (7,10) (20,4) (22,21) (4,19) (2,1) (8,22) (22,16) (0,24) (22,23) (6,5) (9,23) (18,19) (22,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1394", - "image": "data/cycle/graph_visual/Base/medium/graph1394.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (11,12) (15,18) (4,3) (0,1) (18,3) (9,10) (10,3) (18,6) (16,1) (16,17) (2,11) (12,0) (0,3) (4,16) (14,7) (8,0) (2,13) (9,13) (2,0) (7,0) (11,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1037", - "image": "data/cycle/graph_visual/Base/medium/graph1037.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (8,12) (5,4) (5,1) (3,9) (8,1) (10,7) (3,11) (1,0) (0,7) (4,2) (10,6) (5,11) (7,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph185", - "image": "data/cycle/graph_visual/Base/medium/graph185.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (9,12) (10,13) (11,9) (3,8) (7,5) (0,1) (0,9) (8,5) (3,0) (5,2) (7,4) (10,6) (4,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph631", - "image": "data/cycle/graph_visual/Base/medium/graph631.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (4,14) (16,8) (13,18) (17,9) (7,3) (4,10) (2,10) (11,12) (5,10) (17,0) (7,0) (5,6) (18,12) (8,12) (20,5) (18,7) (4,19) (9,15) (1,12) (0,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1366", - "image": "data/cycle/graph_visual/Base/medium/graph1366.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (3,0) (8,12) (6,13) (4,7) (2,0) (4,2) (2,1) (16,7) (14,17) (6,12) (9,4) (0,1) (0,14) (16,15) (15,14) (7,3) (6,10) (5,11) (1,11) (0,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph812", - "image": "data/cycle/graph_visual/Base/medium/graph812.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (21,14) (10,14) (16,20) (15,9) (3,7) (3,6) (8,14) (19,0) (4,18) (8,23) (22,23) (13,12) (3,15) (0,22) (4,1) (2,8) (11,15) (20,12) (6,18) (5,2) (12,17) (13,19) (0,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1367", - "image": "data/cycle/graph_visual/Base/medium/graph1367.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (9,10) (13,15) (17,4) (7,16) (16,4) (5,8) (17,9) (0,3) (4,0) (5,1) (5,11) (12,5) (15,3) (13,1) (2,0) (0,1) (5,0) (8,14) (6,3) (15,2) (6,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph263", - "image": "data/cycle/graph_visual/Base/medium/graph263.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (13,8) (9,14) (5,14) (10,2) (3,13) (10,3) (2,11) (1,4) (0,4) (4,10) (12,10) (7,12) (6,10) (2,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1638", - "image": "data/cycle/graph_visual/Base/medium/graph1638.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (5,3) (11,5) (2,1) (20,0) (6,22) (4,0) (20,4) (19,13) (7,10) (0,2) (3,0) (10,21) (12,7) (19,16) (1,0) (22,18) (19,2) (15,21) (14,11) (22,9) (22,19) (22,0) (17,4) (9,11) (4,12) (8,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1273", - "image": "data/cycle/graph_visual/Base/medium/graph1273.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (7,14) (15,12) (16,7) (2,0) (7,9) (11,4) (0,14) (1,0) (8,2) (16,6) (0,8) (3,12) (1,5) (5,3) (15,11) (1,10) (7,3) (13,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1714", - "image": "data/cycle/graph_visual/Base/medium/graph1714.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (7,0) (19,3) (16,11) (22,12) (6,9) (18,2) (1,0) (11,2) (23,7) (18,5) (10,2) (13,4) (20,6) (21,10) (8,4) (13,10) (22,21) (4,17) (14,19) (9,22) (1,2) (0,2) (0,19) (15,8) (5,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph439", - "image": "data/cycle/graph_visual/Base/medium/graph439.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (16,5) (10,11) (9,16) (15,7) (12,14) (11,15) (1,8) (6,16) (3,14) (1,0) (17,1) (6,2) (14,5) (4,8) (5,1) (4,11) (13,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph500", - "image": "data/cycle/graph_visual/Base/medium/graph500.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (1,2) (13,12) (5,12) (11,17) (10,0) (8,3) (14,3) (13,14) (17,13) (18,5) (11,7) (1,9) (4,6) (9,15) (15,18) (0,16) (11,16) (14,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1633", - "image": "data/cycle/graph_visual/Base/medium/graph1633.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (8,15) (19,18) (8,20) (0,17) (3,21) (16,14) (8,2) (10,4) (19,22) (4,12) (6,21) (11,15) (16,5) (1,0) (11,9) (20,7) (21,0) (19,21) (1,15) (0,12) (11,13) (22,14) (17,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph302", - "image": "data/cycle/graph_visual/Base/medium/graph302.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (8,14) (10,11) (7,12) (6,8) (0,12) (10,13) (7,1) (5,2) (11,12) (0,3) (7,4) (7,5) (3,15) (12,8) (9,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph592", - "image": "data/cycle/graph_visual/Base/medium/graph592.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (0,1) (18,1) (8,13) (18,3) (9,17) (18,2) (16,6) (15,5) (11,17) (3,8) (1,10) (17,10) (16,14) (12,18) (18,7) (4,13) (2,5) (0,19) (16,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph787", - "image": "data/cycle/graph_visual/Base/medium/graph787.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (18,16) (18,8) (9,23) (1,16) (21,0) (3,10) (7,16) (6,12) (4,17) (11,16) (8,20) (9,15) (9,10) (12,11) (13,10) (19,4) (6,14) (19,3) (5,3) (8,3) (22,8) (13,21) (1,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph998", - "image": "data/cycle/graph_visual/Base/medium/graph998.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (6,7) (7,4) (7,3) (1,0) (9,0) (6,5) (10,7) (2,0) (9,1) (4,11) (3,0) (8,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph311", - "image": "data/cycle/graph_visual/Base/medium/graph311.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (13,15) (0,6) (8,9) (14,10) (15,1) (15,5) (2,11) (3,2) (11,8) (4,2) (12,9) (11,7) (8,14) (9,6) (1,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1360", - "image": "data/cycle/graph_visual/Base/medium/graph1360.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (1,7) (3,8) (4,11) (7,16) (2,0) (15,10) (15,17) (9,14) (12,3) (16,17) (12,0) (5,7) (2,13) (2,4) (12,17) (1,9) (1,0) (6,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1281", - "image": "data/cycle/graph_visual/Base/medium/graph1281.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (10,16) (15,4) (2,9) (7,1) (5,7) (15,11) (15,2) (8,10) (16,6) (9,14) (0,5) (16,5) (12,14) (3,8) (13,16) (0,3) (9,13) (2,0) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph968", - "image": "data/cycle/graph_visual/Base/medium/graph968.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (4,0) (7,9) (0,2) (11,2) (0,3) (5,10) (9,4) (4,10) (6,10) (3,1) (9,8) (1,7) (0,1) (5,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1017", - "image": "data/cycle/graph_visual/Base/medium/graph1017.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (10,7) (10,1) (3,8) (1,0) (4,7) (5,6) (2,0) (3,7) (3,5) (10,9) (1,2) (11,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1057", - "image": "data/cycle/graph_visual/Base/medium/graph1057.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (0,12) (11,8) (0,5) (0,3) (12,8) (12,2) (6,8) (12,3) (5,11) (0,2) (7,5) (4,0) (1,10) (0,1) (9,0) (1,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph681", - "image": "data/cycle/graph_visual/Base/medium/graph681.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (0,2) (10,1) (4,16) (19,21) (4,8) (18,1) (13,7) (15,4) (7,17) (4,1) (7,4) (17,3) (6,12) (9,21) (21,14) (3,12) (15,0) (17,14) (11,4) (20,1) (5,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph186", - "image": "data/cycle/graph_visual/Base/medium/graph186.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (0,11) (2,9) (2,7) (10,2) (11,3) (12,10) (4,6) (6,9) (13,5) (2,3) (8,3) (10,1) (1,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph124", - "image": "data/cycle/graph_visual/Base/medium/graph124.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (0,5) (9,7) (6,1) (4,5) (6,11) (10,7) (12,6) (5,9) (8,3) (2,1) (4,8) (8,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1524", - "image": "data/cycle/graph_visual/Base/medium/graph1524.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (14,0) (0,1) (13,8) (11,18) (14,3) (2,0) (11,19) (16,1) (4,18) (7,1) (6,14) (13,20) (15,8) (16,8) (0,3) (13,5) (17,15) (8,2) (10,3) (11,12) (19,15) (2,10) (15,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph830", - "image": "data/cycle/graph_visual/Base/medium/graph830.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (16,21) (12,0) (3,6) (6,15) (8,23) (15,19) (20,22) (5,10) (1,12) (5,7) (13,6) (22,23) (11,7) (19,2) (12,16) (2,4) (7,4) (13,23) (12,18) (9,19) (17,2) (14,8) (21,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph227", - "image": "data/cycle/graph_visual/Base/medium/graph227.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (9,1) (10,12) (13,9) (10,4) (3,2) (2,8) (11,7) (10,5) (13,7) (2,6) (11,12) (7,6) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1086", - "image": "data/cycle/graph_visual/Base/medium/graph1086.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (13,9) (5,4) (0,5) (11,5) (1,0) (8,4) (8,3) (6,8) (6,1) (7,10) (9,7) (9,6) (6,12) (2,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph916", - "image": "data/cycle/graph_visual/Base/medium/graph916.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (2,0) (8,0) (7,1) (3,9) (5,6) (3,6) (1,0) (4,0) (10,8) (3,0) (5,8) (1,8) (2,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph223", - "image": "data/cycle/graph_visual/Base/medium/graph223.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (6,9) (11,3) (10,7) (2,4) (12,7) (8,11) (1,11) (8,5) (10,2) (3,2) (2,9) (0,1) (12,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1591", - "image": "data/cycle/graph_visual/Base/medium/graph1591.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (18,11) (3,2) (9,19) (5,17) (15,9) (10,11) (15,21) (0,2) (19,10) (13,4) (6,13) (13,11) (14,12) (0,20) (7,3) (10,8) (18,5) (1,14) (1,0) (20,8) (16,21) (19,1) (11,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph657", - "image": "data/cycle/graph_visual/Base/medium/graph657.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (13,6) (16,17) (18,8) (14,19) (5,14) (3,2) (3,14) (11,6) (16,8) (5,9) (12,9) (14,15) (10,4) (16,20) (10,5) (3,11) (3,7) (10,8) (16,1) (19,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph199", - "image": "data/cycle/graph_visual/Base/medium/graph199.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (13,6) (4,11) (5,6) (12,4) (6,0) (7,2) (9,0) (8,4) (3,4) (10,3) (1,5) (13,12) (7,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph528", - "image": "data/cycle/graph_visual/Base/medium/graph528.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (1,0) (14,13) (17,4) (6,18) (3,11) (16,6) (17,6) (12,9) (0,14) (0,18) (13,3) (12,16) (7,0) (2,16) (3,15) (10,9) (10,5) (8,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1079", - "image": "data/cycle/graph_visual/Base/medium/graph1079.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (12,7) (7,10) (8,4) (0,1) (5,6) (4,7) (3,12) (11,12) (6,1) (10,6) (2,11) (0,2) (3,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1682", - "image": "data/cycle/graph_visual/Base/medium/graph1682.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (12,0) (0,1) (17,21) (6,3) (8,23) (6,15) (19,15) (13,23) (14,8) (4,7) (4,2) (12,16) (16,21) (17,2) (23,22) (10,5) (11,7) (22,20) (1,12) (12,18) (6,13) (19,2) (9,19) (5,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1241", - "image": "data/cycle/graph_visual/Base/medium/graph1241.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (10,12) (15,9) (4,8) (0,1) (13,11) (10,0) (0,5) (10,15) (0,3) (15,1) (1,3) (11,4) (8,14) (7,6) (2,9) (12,14) (2,0) (14,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1092", - "image": "data/cycle/graph_visual/Base/medium/graph1092.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (0,2) (7,4) (6,4) (0,9) (3,12) (12,6) (4,9) (3,0) (1,11) (10,13) (8,5) (5,2) (13,2) (8,6) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1743", - "image": "data/cycle/graph_visual/Base/medium/graph1743.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (0,1) (6,9) (20,12) (13,17) (23,4) (0,2) (6,1) (0,3) (19,15) (5,14) (16,12) (21,18) (7,2) (9,2) (23,13) (24,17) (2,11) (0,4) (3,4) (23,11) (23,10) (5,9) (8,23) (12,21) (22,16) (17,15) (12,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph764", - "image": "data/cycle/graph_visual/Base/medium/graph764.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (6,12) (14,12) (2,1) (14,0) (4,9) (20,17) (7,4) (1,13) (18,22) (6,10) (20,15) (2,4) (15,12) (6,16) (18,15) (7,16) (7,3) (0,19) (14,21) (5,11) (8,12) (22,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1047", - "image": "data/cycle/graph_visual/Base/medium/graph1047.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (0,12) (12,5) (2,5) (11,10) (1,5) (10,7) (1,0) (4,5) (11,0) (3,1) (0,9) (6,8) (6,3) (0,2) (0,3) (4,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph201", - "image": "data/cycle/graph_visual/Base/medium/graph201.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (1,6) (11,3) (12,5) (5,7) (9,8) (2,8) (6,0) (4,13) (6,4) (9,0) (3,0) (1,5) (10,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph372", - "image": "data/cycle/graph_visual/Base/medium/graph372.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (8,13) (7,8) (7,0) (9,15) (14,10) (7,14) (1,11) (15,3) (16,9) (13,12) (2,15) (4,9) (6,7) (5,13) (9,0) (0,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1176", - "image": "data/cycle/graph_visual/Base/medium/graph1176.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (9,8) (1,11) (0,2) (5,8) (2,10) (9,11) (12,6) (2,11) (7,12) (2,3) (0,3) (3,13) (0,1) (7,10) (6,14) (2,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph535", - "image": "data/cycle/graph_visual/Base/medium/graph535.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (13,18) (17,14) (10,15) (4,10) (8,10) (4,1) (18,9) (3,7) (2,3) (15,18) (0,5) (8,6) (3,4) (12,13) (13,0) (13,14) (11,5) (16,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph886", - "image": "data/cycle/graph_visual/Base/medium/graph886.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (4,20) (15,1) (18,6) (3,20) (5,3) (17,24) (15,8) (11,21) (22,19) (12,9) (16,20) (12,0) (23,6) (8,22) (19,7) (23,24) (17,10) (13,2) (4,2) (24,21) (22,20) (6,14) (0,6) (14,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1405", - "image": "data/cycle/graph_visual/Base/medium/graph1405.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (0,1) (16,15) (10,2) (14,17) (18,8) (2,0) (0,16) (10,5) (6,11) (7,9) (4,0) (5,14) (14,3) (3,11) (10,8) (4,3) (13,14) (5,9) (6,12) (0,3) (3,1) (8,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph724", - "image": "data/cycle/graph_visual/Base/medium/graph724.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (14,18) (6,7) (0,6) (18,10) (3,4) (3,10) (12,15) (7,11) (11,9) (22,14) (1,22) (5,6) (21,13) (7,21) (20,18) (7,17) (12,17) (2,19) (14,8) (21,19) (19,18) (17,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph759", - "image": "data/cycle/graph_visual/Base/medium/graph759.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (15,11) (14,16) (3,5) (4,21) (22,2) (6,15) (13,14) (6,7) (2,12) (12,6) (17,14) (19,20) (18,1) (5,12) (6,21) (7,8) (5,10) (14,18) (0,2) (14,8) (19,11) (21,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1074", - "image": "data/cycle/graph_visual/Base/medium/graph1074.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (12,4) (4,0) (1,8) (3,12) (11,8) (12,1) (5,6) (10,4) (0,2) (2,4) (7,9) (3,0) (7,4) (6,3) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1179", - "image": "data/cycle/graph_visual/Base/medium/graph1179.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (8,14) (5,14) (8,4) (0,1) (8,11) (0,6) (13,5) (4,1) (3,9) (3,7) (6,13) (10,7) (7,12) (2,4) (8,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1339", - "image": "data/cycle/graph_visual/Base/medium/graph1339.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (10,17) (11,1) (0,9) (9,16) (15,7) (14,11) (13,14) (0,1) (8,7) (0,12) (15,3) (10,9) (9,4) (2,15) (5,13) (8,13) (0,7) (7,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph115", - "image": "data/cycle/graph_visual/Base/medium/graph115.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (5,2) (5,8) (1,5) (3,2) (0,8) (2,4) (9,11) (7,11) (4,6) (4,9) (10,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph78", - "image": "data/cycle/graph_visual/Base/medium/graph78.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (10,7) (4,2) (1,4) (7,8) (6,0) (8,11) (3,5) (8,4) (6,7) (8,9) (7,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph267", - "image": "data/cycle/graph_visual/Base/medium/graph267.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (0,9) (6,3) (9,11) (12,4) (4,2) (11,6) (10,12) (3,1) (0,7) (13,3) (10,0) (4,14) (3,8) (6,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1319", - "image": "data/cycle/graph_visual/Base/medium/graph1319.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (8,15) (8,7) (13,6) (0,3) (14,11) (2,15) (2,0) (15,4) (11,10) (6,15) (10,0) (4,0) (1,9) (0,1) (2,5) (16,3) (0,8) (13,3) (12,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph489", - "image": "data/cycle/graph_visual/Base/medium/graph489.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (10,9) (4,6) (4,11) (16,12) (11,15) (9,1) (8,6) (3,2) (14,7) (18,5) (0,2) (16,0) (18,0) (14,8) (13,12) (0,14) (13,9) (7,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph477", - "image": "data/cycle/graph_visual/Base/medium/graph477.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (14,7) (4,0) (14,8) (12,5) (3,2) (14,2) (14,4) (17,15) (1,6) (5,9) (1,8) (12,16) (6,17) (13,11) (13,3) (16,3) (10,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph324", - "image": "data/cycle/graph_visual/Base/medium/graph324.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (3,7) (1,9) (1,4) (4,12) (3,11) (12,6) (4,7) (4,8) (10,4) (1,14) (3,5) (15,0) (1,13) (2,0) (15,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph504", - "image": "data/cycle/graph_visual/Base/medium/graph504.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (11,18) (14,11) (9,17) (0,12) (12,10) (4,3) (15,13) (9,12) (6,15) (8,1) (18,3) (5,1) (9,4) (16,6) (16,7) (16,4) (15,8) (13,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph933", - "image": "data/cycle/graph_visual/Base/medium/graph933.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (8,9) (7,0) (2,10) (5,0) (8,0) (5,3) (1,0) (2,0) (5,10) (3,4) (2,6) (1,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1473", - "image": "data/cycle/graph_visual/Base/medium/graph1473.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (17,14) (0,15) (6,12) (3,5) (13,4) (4,8) (16,1) (0,1) (3,17) (1,9) (0,3) (19,14) (0,2) (10,4) (15,4) (0,4) (11,3) (7,17) (1,4) (18,1) (12,7) (7,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph323", - "image": "data/cycle/graph_visual/Base/medium/graph323.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (13,10) (9,4) (9,7) (11,3) (8,4) (5,12) (8,3) (12,8) (8,10) (1,0) (13,14) (3,15) (6,2) (1,3) (11,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph953", - "image": "data/cycle/graph_visual/Base/medium/graph953.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (2,1) (0,2) (10,8) (0,1) (7,6) (7,4) (5,1) (2,6) (0,3) (0,9) (1,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph50", - "image": "data/cycle/graph_visual/Base/medium/graph50.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (6,9) (2,1) (2,7) (6,0) (5,3) (3,2) (10,1) (3,8) (3,9) (4,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph104", - "image": "data/cycle/graph_visual/Base/medium/graph104.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (5,11) (6,5) (7,11) (4,2) (0,1) (3,9) (6,2) (1,2) (4,8) (9,5) (1,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph768", - "image": "data/cycle/graph_visual/Base/medium/graph768.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (4,14) (10,5) (7,3) (1,12) (18,0) (4,10) (22,5) (15,22) (12,11) (2,10) (5,6) (14,0) (18,13) (7,19) (8,17) (21,7) (18,12) (0,20) (12,8) (9,16) (17,9) (21,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph522", - "image": "data/cycle/graph_visual/Base/medium/graph522.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (4,6) (14,0) (16,12) (14,8) (8,6) (5,18) (4,11) (9,1) (0,2) (13,12) (18,0) (16,0) (14,7) (2,3) (13,9) (9,10) (11,15) (17,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph751", - "image": "data/cycle/graph_visual/Base/medium/graph751.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (0,3) (2,3) (7,20) (21,22) (2,22) (9,13) (18,0) (14,8) (12,13) (19,14) (5,2) (9,17) (9,1) (11,4) (19,7) (6,4) (11,16) (0,14) (16,12) (0,10) (18,15) (6,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph314", - "image": "data/cycle/graph_visual/Base/medium/graph314.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (11,12) (3,2) (12,7) (0,15) (13,14) (7,14) (14,8) (1,6) (5,6) (4,10) (3,0) (6,7) (7,10) (11,9) (13,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1048", - "image": "data/cycle/graph_visual/Base/medium/graph1048.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (10,4) (1,5) (11,10) (5,9) (8,2) (0,3) (0,1) (0,2) (7,12) (12,6) (9,12) (10,1) (10,3) (0,11) (4,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph81", - "image": "data/cycle/graph_visual/Base/medium/graph81.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (0,11) (6,4) (0,5) (1,3) (3,6) (9,0) (8,3) (2,4) (11,6) (9,10) (7,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1721", - "image": "data/cycle/graph_visual/Base/medium/graph1721.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (5,14) (20,23) (17,4) (20,2) (4,0) (12,5) (3,15) (13,15) (8,5) (18,21) (9,17) (9,6) (0,2) (10,16) (1,0) (15,7) (16,21) (9,11) (3,18) (3,0) (4,3) (13,1) (0,5) (6,22) (15,2) (8,19) (5,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph173", - "image": "data/cycle/graph_visual/Base/medium/graph173.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (11,4) (0,7) (9,10) (2,4) (6,7) (8,2) (0,11) (1,3) (9,12) (1,10) (5,3) (10,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1568", - "image": "data/cycle/graph_visual/Base/medium/graph1568.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (21,10) (14,17) (21,16) (13,14) (0,10) (13,10) (0,2) (2,6) (11,0) (8,5) (16,12) (12,1) (19,5) (14,5) (20,7) (19,4) (20,9) (18,4) (0,15) (10,6) (7,3) (3,4) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph544", - "image": "data/cycle/graph_visual/Base/medium/graph544.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (7,4) (7,0) (7,5) (12,8) (16,10) (17,14) (1,16) (17,2) (16,17) (15,14) (18,10) (6,17) (18,11) (12,9) (5,3) (7,8) (13,17) (11,12) (19,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph122", - "image": "data/cycle/graph_visual/Base/medium/graph122.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (6,0) (9,0) (12,11) (2,7) (4,3) (7,3) (10,4) (1,5) (3,6) (4,8) (6,5) (12,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph931", - "image": "data/cycle/graph_visual/Base/medium/graph931.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (1,4) (4,6) (1,0) (2,9) (7,10) (3,5) (0,2) (10,2) (0,6) (0,3) (0,4) (1,3) (0,10) (4,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1648", - "image": "data/cycle/graph_visual/Base/medium/graph1648.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (1,15) (14,6) (0,6) (13,2) (22,0) (3,20) (20,21) (0,2) (7,19) (10,17) (21,11) (3,0) (13,14) (6,18) (5,3) (8,16) (0,12) (22,19) (12,9) (4,20) (1,0) (6,15) (4,2) (17,20) (8,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph991", - "image": "data/cycle/graph_visual/Base/medium/graph991.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (3,0) (2,0) (4,11) (8,1) (3,10) (1,9) (4,8) (8,5) (2,10) (0,1) (8,0) (0,7) (6,3) (5,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1517", - "image": "data/cycle/graph_visual/Base/medium/graph1517.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (14,11) (0,3) (17,5) (9,11) (10,20) (12,7) (18,13) (16,1) (12,19) (6,9) (8,13) (13,2) (4,12) (16,10) (15,8) (17,3) (0,7) (4,20) (0,1) (0,2) (16,8) (5,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph667", - "image": "data/cycle/graph_visual/Base/medium/graph667.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (9,18) (12,16) (0,3) (4,11) (1,18) (15,21) (13,21) (3,20) (8,0) (17,12) (17,6) (13,1) (0,19) (2,5) (10,11) (16,14) (19,12) (14,7) (10,8) (8,15) (13,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1705", - "image": "data/cycle/graph_visual/Base/medium/graph1705.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (6,13) (3,6) (22,23) (18,12) (10,5) (16,21) (7,11) (12,16) (0,12) (1,12) (21,17) (0,1) (2,4) (8,14) (5,7) (19,2) (2,0) (3,0) (9,19) (22,20) (17,2) (23,8) (6,15) (4,0) (15,19) (23,13) (4,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph846", - "image": "data/cycle/graph_visual/Base/medium/graph846.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (17,9) (24,21) (14,6) (4,9) (18,23) (18,10) (20,12) (24,9) (15,0) (15,12) (22,11) (16,19) (0,13) (5,23) (1,7) (19,0) (21,10) (22,5) (15,17) (0,7) (2,20) (8,4) (21,14) (3,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph794", - "image": "data/cycle/graph_visual/Base/medium/graph794.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (17,12) (18,0) (11,10) (14,12) (13,17) (11,9) (0,23) (18,16) (19,22) (7,5) (16,5) (12,7) (11,0) (15,11) (8,13) (19,1) (12,1) (3,12) (20,17) (7,21) (4,17) (6,22) (2,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph980", - "image": "data/cycle/graph_visual/Base/medium/graph980.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (10,2) (2,4) (1,7) (5,0) (7,4) (8,11) (1,0) (6,5) (10,0) (9,2) (9,3) (5,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1492", - "image": "data/cycle/graph_visual/Base/medium/graph1492.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (8,12) (8,11) (15,5) (14,11) (3,10) (0,4) (0,16) (2,0) (0,6) (0,1) (14,10) (7,3) (8,19) (1,13) (4,11) (7,5) (6,2) (3,0) (16,9) (7,17) (1,4) (12,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1739", - "image": "data/cycle/graph_visual/Base/medium/graph1739.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (10,21) (0,3) (21,2) (1,8) (22,9) (17,2) (5,4) (20,12) (7,18) (6,23) (7,20) (13,4) (23,4) (8,21) (1,0) (4,16) (19,23) (5,11) (6,17) (13,0) (15,21) (0,2) (14,7) (5,20) (9,0) (9,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph432", - "image": "data/cycle/graph_visual/Base/medium/graph432.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (0,12) (5,12) (0,7) (10,2) (14,0) (14,4) (7,15) (4,10) (3,7) (1,12) (4,16) (17,10) (8,13) (6,5) (12,8) (11,9) (9,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph276", - "image": "data/cycle/graph_visual/Base/medium/graph276.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (13,5) (11,14) (9,2) (2,3) (1,10) (12,3) (8,3) (11,0) (13,10) (4,6) (6,9) (2,10) (11,1) (2,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1506", - "image": "data/cycle/graph_visual/Base/medium/graph1506.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (12,13) (8,11) (14,11) (17,10) (17,7) (17,0) (12,1) (1,19) (20,16) (18,19) (1,0) (0,11) (9,11) (0,4) (12,3) (15,12) (0,2) (7,12) (17,4) (3,0) (6,13) (5,16) (2,8) (7,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1139", - "image": "data/cycle/graph_visual/Base/medium/graph1139.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (8,9) (4,1) (0,1) (13,8) (11,1) (13,3) (4,12) (3,0) (13,7) (3,6) (2,0) (10,8) (0,4) (11,2) (5,12) (5,10) (0,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1166", - "image": "data/cycle/graph_visual/Base/medium/graph1166.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (11,13) (9,2) (0,2) (5,14) (1,5) (8,9) (7,2) (7,11) (6,5) (4,7) (1,2) (11,3) (3,10) (0,1) (3,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph934", - "image": "data/cycle/graph_visual/Base/medium/graph934.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (5,3) (8,6) (3,0) (1,4) (1,7) (0,1) (0,2) (10,5) (9,0) (2,4) (8,5) (3,2) (1,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph158", - "image": "data/cycle/graph_visual/Base/medium/graph158.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (2,4) (10,11) (2,12) (5,4) (8,12) (11,8) (12,3) (1,6) (8,0) (6,4) (9,11) (5,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1658", - "image": "data/cycle/graph_visual/Base/medium/graph1658.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (15,3) (4,5) (18,22) (17,11) (4,2) (12,9) (20,15) (13,19) (22,17) (1,0) (6,7) (9,16) (3,21) (13,5) (16,6) (7,20) (10,1) (10,22) (8,17) (16,17) (17,0) (6,14) (4,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1788", - "image": "data/cycle/graph_visual/Base/medium/graph1788.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (10,1) (2,0) (1,7) (17,15) (6,9) (18,2) (4,5) (14,10) (5,23) (5,19) (9,3) (8,7) (21,2) (1,0) (12,1) (20,0) (20,7) (15,14) (22,12) (23,13) (18,9) (4,24) (16,8) (11,4) (0,13) (0,3) (4,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph19", - "image": "data/cycle/graph_visual/Base/medium/graph19.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (9,10) (0,9) (4,8) (5,2) (7,0) (3,8) (7,6) (8,2) (8,1) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1510", - "image": "data/cycle/graph_visual/Base/medium/graph1510.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (6,0) (0,2) (3,2) (6,1) (7,11) (18,8) (20,4) (10,20) (5,0) (19,1) (0,17) (17,15) (18,9) (16,12) (7,20) (3,0) (1,16) (4,13) (0,4) (2,18) (1,0) (10,2) (5,12) (18,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph438", - "image": "data/cycle/graph_visual/Base/medium/graph438.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (6,9) (9,7) (16,0) (16,3) (6,14) (2,14) (12,4) (14,17) (10,7) (4,1) (1,6) (1,5) (11,13) (8,11) (8,14) (16,4) (0,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph571", - "image": "data/cycle/graph_visual/Base/medium/graph571.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (15,0) (2,15) (12,11) (1,8) (3,9) (2,6) (13,8) (17,14) (15,7) (18,2) (19,18) (10,16) (4,6) (8,10) (5,7) (9,2) (11,8) (7,17) (12,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1296", - "image": "data/cycle/graph_visual/Base/medium/graph1296.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (14,1) (10,3) (15,2) (1,0) (16,11) (0,2) (5,13) (4,11) (9,12) (10,11) (7,10) (8,2) (5,0) (3,6) (6,12) (0,3) (13,10) (8,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1010", - "image": "data/cycle/graph_visual/Base/medium/graph1010.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (7,8) (0,1) (3,0) (2,11) (5,7) (5,6) (1,4) (8,9) (4,11) (5,0) (0,6) (2,0) (10,2) (4,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1242", - "image": "data/cycle/graph_visual/Base/medium/graph1242.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (3,0) (9,0) (7,8) (5,13) (0,4) (3,15) (14,7) (0,2) (15,2) (15,9) (0,7) (1,0) (7,6) (1,11) (11,0) (9,4) (8,13) (13,12) (10,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1496", - "image": "data/cycle/graph_visual/Base/medium/graph1496.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (9,11) (0,19) (14,19) (1,10) (11,12) (0,3) (8,16) (0,2) (4,0) (9,13) (17,13) (6,14) (6,1) (5,0) (18,2) (8,14) (9,18) (4,6) (5,6) (0,1) (7,6) (12,15) (18,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1346", - "image": "data/cycle/graph_visual/Base/medium/graph1346.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (8,9) (1,0) (6,1) (7,5) (11,15) (13,12) (10,9) (2,0) (2,11) (6,8) (4,2) (17,11) (14,17) (13,5) (14,16) (5,1) (16,12) (3,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph918", - "image": "data/cycle/graph_visual/Base/medium/graph918.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (7,3) (5,1) (0,3) (7,5) (2,0) (4,2) (8,10) (1,0) (0,7) (4,5) (8,1) (10,6) (3,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1329", - "image": "data/cycle/graph_visual/Base/medium/graph1329.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (12,0) (10,0) (1,12) (15,4) (6,2) (5,4) (13,17) (7,3) (13,14) (3,4) (9,0) (10,14) (10,6) (5,14) (16,7) (11,16) (8,5) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph214", - "image": "data/cycle/graph_visual/Base/medium/graph214.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (7,13) (9,13) (2,3) (0,1) (10,4) (5,10) (12,10) (6,2) (2,8) (6,7) (11,12) (1,9) (11,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph936", - "image": "data/cycle/graph_visual/Base/medium/graph936.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (8,0) (4,1) (2,0) (10,9) (0,3) (5,10) (9,1) (2,10) (8,7) (10,0) (0,1) (9,3) (10,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1455", - "image": "data/cycle/graph_visual/Base/medium/graph1455.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (0,2) (10,18) (12,14) (0,6) (1,7) (5,9) (15,12) (14,2) (9,16) (5,19) (8,0) (7,4) (17,15) (3,2) (0,1) (0,13) (10,5) (0,4) (19,11) (4,9) (0,15) (3,0) (17,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph73", - "image": "data/cycle/graph_visual/Base/medium/graph73.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (6,1) (9,5) (0,3) (11,2) (7,3) (3,10) (5,7) (1,5) (8,3) (11,9) (4,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph754", - "image": "data/cycle/graph_visual/Base/medium/graph754.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (15,6) (8,21) (4,6) (3,0) (7,20) (11,9) (9,13) (19,13) (11,12) (6,5) (17,14) (9,18) (8,14) (16,1) (1,6) (20,12) (15,0) (18,2) (22,6) (14,19) (18,3) (10,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1571", - "image": "data/cycle/graph_visual/Base/medium/graph1571.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (6,13) (6,20) (2,0) (6,16) (3,17) (19,8) (2,4) (5,9) (4,5) (4,7) (1,3) (5,12) (0,3) (18,12) (14,13) (19,4) (15,14) (0,6) (0,1) (6,19) (7,10) (4,17) (20,11) (0,4) (21,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1744", - "image": "data/cycle/graph_visual/Base/medium/graph1744.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (4,14) (3,2) (21,1) (16,13) (11,13) (14,23) (5,15) (12,23) (19,11) (7,14) (6,10) (0,4) (8,1) (3,17) (18,12) (20,21) (0,1) (2,0) (3,16) (9,24) (14,8) (10,24) (5,22) (6,20) (22,17) (2,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1390", - "image": "data/cycle/graph_visual/Base/medium/graph1390.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (4,8) (0,2) (5,9) (15,6) (0,4) (3,14) (0,3) (17,2) (11,4) (0,1) (5,6) (6,16) (1,13) (0,15) (9,18) (1,2) (14,1) (13,4) (10,12) (1,12) (7,2) (9,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph939", - "image": "data/cycle/graph_visual/Base/medium/graph939.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (10,1) (0,3) (5,1) (6,5) (9,7) (2,8) (0,1) (3,9) (6,0) (0,8) (5,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph480", - "image": "data/cycle/graph_visual/Base/medium/graph480.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (17,18) (16,3) (0,14) (8,10) (2,16) (8,13) (11,5) (1,17) (5,17) (14,10) (11,15) (1,3) (7,13) (12,15) (3,4) (6,18) (7,9) (17,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph845", - "image": "data/cycle/graph_visual/Base/medium/graph845.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (10,6) (4,0) (5,17) (9,23) (12,3) (13,14) (17,23) (3,16) (2,22) (18,24) (0,8) (9,20) (0,18) (21,12) (19,20) (24,23) (7,23) (15,16) (14,0) (11,2) (10,24) (22,16) (24,1) (13,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph990", - "image": "data/cycle/graph_visual/Base/medium/graph990.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (6,10) (0,1) (0,8) (4,6) (2,4) (2,0) (5,2) (3,2) (9,4) (8,5) (5,1) (11,9) (11,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1265", - "image": "data/cycle/graph_visual/Base/medium/graph1265.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (12,3) (3,0) (4,16) (5,4) (8,16) (4,15) (2,0) (6,16) (13,10) (4,1) (9,6) (0,1) (13,7) (16,14) (0,10) (5,11) (15,3) (7,6) (2,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph912", - "image": "data/cycle/graph_visual/Base/medium/graph912.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (3,1) (4,8) (9,1) (8,10) (3,7) (10,0) (2,0) (0,3) (0,1) (4,5) (2,7) (4,6) (1,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1004", - "image": "data/cycle/graph_visual/Base/medium/graph1004.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (5,3) (4,1) (7,4) (4,2) (11,6) (0,1) (1,11) (2,3) (2,10) (2,0) (11,9) (8,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1531", - "image": "data/cycle/graph_visual/Base/medium/graph1531.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (4,0) (10,7) (4,7) (1,8) (9,3) (17,12) (13,19) (15,0) (19,8) (20,17) (0,8) (0,3) (18,16) (6,11) (15,20) (2,0) (10,2) (6,3) (16,0) (17,4) (7,14) (9,15) (0,1) (5,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1371", - "image": "data/cycle/graph_visual/Base/medium/graph1371.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (15,16) (11,9) (15,2) (6,16) (14,6) (1,8) (15,8) (3,0) (3,4) (14,3) (2,9) (14,5) (10,5) (1,0) (0,17) (16,12) (7,16) (12,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1116", - "image": "data/cycle/graph_visual/Base/medium/graph1116.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (1,6) (11,4) (2,9) (8,3) (3,7) (0,11) (13,5) (2,0) (11,12) (1,5) (0,1) (10,3) (0,7) (4,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph954", - "image": "data/cycle/graph_visual/Base/medium/graph954.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (6,2) (3,0) (8,10) (7,4) (1,6) (1,0) (5,10) (3,9) (0,2) (6,4) (3,7) (8,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1035", - "image": "data/cycle/graph_visual/Base/medium/graph1035.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (9,1) (0,1) (6,11) (11,7) (2,0) (2,6) (3,6) (0,10) (7,5) (12,4) (3,0) (1,8) (1,5) (11,10) (5,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1684", - "image": "data/cycle/graph_visual/Base/medium/graph1684.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (4,8) (22,1) (22,10) (5,19) (2,21) (8,2) (10,3) (16,0) (0,3) (21,14) (10,11) (7,11) (13,5) (10,20) (1,17) (15,12) (6,3) (0,23) (20,13) (10,9) (0,2) (6,12) (18,0) (11,8) (16,4) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph900", - "image": "data/cycle/graph_visual/Base/medium/graph900.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (2,0) (6,4) (0,1) (1,5) (7,9) (1,8) (0,5) (5,7) (3,6) (1,6) (0,10) (2,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1106", - "image": "data/cycle/graph_visual/Base/medium/graph1106.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (0,7) (1,13) (12,6) (2,13) (2,3) (7,8) (3,9) (4,8) (1,0) (0,2) (7,10) (0,3) (9,12) (13,8) (11,7) (13,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph374", - "image": "data/cycle/graph_visual/Base/medium/graph374.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (16,0) (5,1) (7,9) (5,3) (6,14) (4,2) (11,16) (9,11) (0,14) (12,5) (0,3) (5,13) (5,10) (8,15) (5,8) (2,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph648", - "image": "data/cycle/graph_visual/Base/medium/graph648.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (6,17) (13,12) (12,16) (14,0) (9,14) (6,3) (20,11) (10,15) (2,8) (0,15) (1,4) (4,18) (12,18) (3,15) (2,5) (14,20) (19,13) (3,7) (15,8) (0,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph46", - "image": "data/cycle/graph_visual/Base/medium/graph46.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (6,7) (10,9) (7,1) (7,10) (2,9) (8,7) (3,1) (5,4) (4,1) (0,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1401", - "image": "data/cycle/graph_visual/Base/medium/graph1401.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (12,7) (0,3) (1,15) (4,14) (4,0) (0,5) (17,7) (15,0) (7,4) (4,10) (18,17) (13,4) (5,3) (1,0) (9,1) (2,0) (11,3) (8,4) (12,6) (1,16) (4,1) (3,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1188", - "image": "data/cycle/graph_visual/Base/medium/graph1188.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (14,10) (10,3) (12,14) (13,11) (5,8) (7,2) (0,4) (14,5) (13,12) (1,2) (0,1) (9,1) (9,5) (12,6) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1777", - "image": "data/cycle/graph_visual/Base/medium/graph1777.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (13,22) (10,5) (7,6) (2,24) (0,20) (3,0) (22,16) (1,0) (0,17) (3,5) (9,8) (17,4) (12,21) (2,11) (15,1) (10,6) (0,2) (22,2) (15,11) (14,10) (11,19) (5,23) (0,16) (9,10) (20,10) (12,14) (15,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph570", - "image": "data/cycle/graph_visual/Base/medium/graph570.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (0,18) (18,8) (16,2) (6,0) (11,19) (9,14) (0,4) (15,5) (1,17) (17,9) (11,3) (13,7) (7,3) (2,10) (8,10) (17,6) (12,16) (15,13) (19,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1572", - "image": "data/cycle/graph_visual/Base/medium/graph1572.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (2,0) (6,2) (0,17) (10,20) (11,19) (10,1) (4,21) (15,11) (9,8) (12,0) (5,2) (15,16) (7,15) (6,4) (3,0) (0,19) (3,14) (1,0) (16,1) (3,10) (4,17) (18,16) (1,13) (7,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph861", - "image": "data/cycle/graph_visual/Base/medium/graph861.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (11,10) (23,3) (22,12) (2,4) (8,1) (10,7) (19,10) (11,4) (9,7) (24,6) (14,24) (8,20) (15,13) (2,17) (17,21) (7,20) (22,21) (15,0) (15,10) (11,5) (11,3) (2,16) (17,18) (7,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1395", - "image": "data/cycle/graph_visual/Base/medium/graph1395.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (14,13) (8,12) (18,10) (14,17) (11,17) (6,17) (0,7) (11,12) (5,3) (17,2) (5,7) (15,16) (0,2) (0,1) (1,16) (16,10) (18,12) (8,7) (9,17) (7,4) (0,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1027", - "image": "data/cycle/graph_visual/Base/medium/graph1027.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (6,1) (11,7) (8,4) (0,2) (12,7) (12,3) (1,7) (2,9) (1,0) (5,12) (12,9) (7,10) (4,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph410", - "image": "data/cycle/graph_visual/Base/medium/graph410.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (7,12) (1,12) (5,16) (7,5) (7,13) (11,6) (9,12) (16,15) (11,0) (8,11) (3,12) (10,11) (4,13) (14,1) (0,12) (2,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph935", - "image": "data/cycle/graph_visual/Base/medium/graph935.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (10,2) (10,8) (8,0) (5,0) (0,6) (2,0) (2,9) (7,4) (5,3) (1,0) (3,0) (4,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1289", - "image": "data/cycle/graph_visual/Base/medium/graph1289.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (0,3) (2,16) (8,1) (6,9) (1,0) (0,13) (7,15) (5,0) (7,0) (1,12) (2,0) (12,10) (14,12) (9,3) (8,6) (4,2) (4,11) (14,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph739", - "image": "data/cycle/graph_visual/Base/medium/graph739.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (15,13) (15,2) (12,22) (16,17) (11,3) (12,0) (1,18) (7,11) (4,18) (14,9) (15,6) (1,10) (1,20) (12,6) (1,5) (11,0) (19,22) (20,11) (8,13) (9,21) (2,17) (21,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1537", - "image": "data/cycle/graph_visual/Base/medium/graph1537.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (6,10) (1,8) (17,3) (5,12) (19,6) (14,2) (7,20) (4,14) (1,20) (16,3) (11,12) (18,17) (8,14) (4,0) (2,0) (7,10) (13,16) (11,13) (2,3) (0,1) (15,5) (14,9) (3,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph166", - "image": "data/cycle/graph_visual/Base/medium/graph166.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (6,8) (6,7) (6,5) (3,8) (2,6) (10,5) (0,12) (5,0) (4,1) (9,5) (4,11) (11,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1719", - "image": "data/cycle/graph_visual/Base/medium/graph1719.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (5,16) (1,15) (1,0) (2,0) (0,6) (14,22) (8,23) (4,0) (7,3) (3,10) (8,11) (11,21) (11,19) (5,7) (23,13) (10,14) (22,12) (16,9) (21,1) (22,4) (0,17) (7,20) (3,0) (18,4) (6,2) (12,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph984", - "image": "data/cycle/graph_visual/Base/medium/graph984.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (11,0) (1,3) (0,3) (7,3) (2,4) (2,0) (6,11) (10,9) (1,0) (4,6) (8,3) (3,6) (0,5) (9,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1024", - "image": "data/cycle/graph_visual/Base/medium/graph1024.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (12,7) (0,3) (3,2) (8,2) (10,4) (1,0) (1,9) (7,11) (6,2) (11,10) (2,0) (7,6) (5,0) (9,12) (0,4) (10,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1549", - "image": "data/cycle/graph_visual/Base/medium/graph1549.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (16,15) (18,10) (18,7) (2,18) (12,18) (9,17) (6,16) (5,2) (1,19) (17,11) (4,13) (20,0) (5,15) (16,14) (17,20) (18,3) (10,1) (8,3) (0,1) (8,13) (0,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph888", - "image": "data/cycle/graph_visual/Base/medium/graph888.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (16,20) (6,0) (14,13) (3,5) (4,2) (20,4) (8,22) (19,7) (11,21) (6,18) (19,22) (0,12) (17,10) (24,23) (22,20) (2,13) (6,23) (15,1) (3,20) (8,15) (12,9) (24,21) (24,17) (6,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1284", - "image": "data/cycle/graph_visual/Base/medium/graph1284.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (1,7) (15,2) (10,16) (0,2) (15,11) (16,6) (13,16) (2,9) (15,4) (9,13) (8,10) (5,7) (0,5) (12,14) (3,8) (5,16) (9,14) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1428", - "image": "data/cycle/graph_visual/Base/medium/graph1428.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (4,0) (13,5) (0,3) (2,7) (0,1) (5,3) (10,9) (5,14) (18,1) (6,2) (11,9) (5,11) (12,16) (2,0) (16,0) (17,8) (5,8) (0,15) (18,15) (14,7) (4,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph585", - "image": "data/cycle/graph_visual/Base/medium/graph585.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (4,12) (2,18) (18,13) (14,17) (6,1) (18,8) (18,9) (11,7) (15,1) (2,3) (4,0) (1,0) (10,1) (7,16) (2,10) (4,17) (16,0) (12,5) (19,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph784", - "image": "data/cycle/graph_visual/Base/medium/graph784.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (3,10) (2,13) (8,11) (9,13) (15,7) (1,16) (12,11) (11,19) (0,4) (0,19) (18,21) (22,3) (18,16) (12,17) (0,7) (4,16) (14,0) (8,3) (10,9) (20,2) (4,23) (6,18) (5,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph750", - "image": "data/cycle/graph_visual/Base/medium/graph750.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (14,8) (9,3) (15,22) (7,2) (1,9) (13,21) (7,5) (14,9) (19,10) (20,6) (10,20) (12,16) (20,15) (17,14) (13,7) (11,14) (0,13) (17,2) (16,14) (8,6) (16,4) (17,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph838", - "image": "data/cycle/graph_visual/Base/medium/graph838.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (18,11) (3,14) (11,3) (4,5) (2,1) (8,20) (17,13) (0,10) (6,1) (13,20) (7,2) (4,12) (10,2) (17,2) (17,12) (19,13) (6,16) (23,13) (21,2) (1,9) (16,18) (15,1) (22,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph363", - "image": "data/cycle/graph_visual/Base/medium/graph363.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (4,7) (16,8) (1,3) (0,5) (5,15) (8,6) (8,14) (11,15) (10,3) (9,14) (14,2) (10,15) (12,5) (6,7) (9,13) (15,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph513", - "image": "data/cycle/graph_visual/Base/medium/graph513.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (9,10) (8,1) (17,2) (12,4) (16,14) (9,12) (11,7) (7,18) (11,0) (15,14) (9,7) (6,9) (2,10) (6,5) (13,9) (7,15) (13,1) (14,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1271", - "image": "data/cycle/graph_visual/Base/medium/graph1271.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (14,7) (0,1) (0,2) (1,11) (0,11) (10,14) (13,12) (2,15) (9,4) (7,8) (3,15) (16,9) (15,9) (7,0) (9,0) (13,5) (13,8) (7,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph344", - "image": "data/cycle/graph_visual/Base/medium/graph344.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (6,10) (15,13) (4,9) (12,0) (7,6) (14,0) (8,12) (14,15) (11,1) (2,4) (4,7) (7,3) (11,5) (12,6) (1,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph150", - "image": "data/cycle/graph_visual/Base/medium/graph150.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (8,3) (8,1) (12,9) (2,9) (8,5) (6,0) (10,12) (4,12) (7,9) (6,12) (8,4) (11,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1458", - "image": "data/cycle/graph_visual/Base/medium/graph1458.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (5,16) (6,19) (6,1) (18,3) (9,6) (12,7) (15,11) (11,8) (7,9) (19,14) (16,4) (8,14) (13,4) (1,4) (18,14) (0,2) (0,16) (1,0) (1,10) (2,14) (17,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1403", - "image": "data/cycle/graph_visual/Base/medium/graph1403.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (1,6) (12,7) (14,8) (18,3) (17,0) (10,1) (6,14) (6,9) (16,4) (13,4) (16,0) (14,18) (14,2) (1,0) (7,9) (11,8) (5,16) (11,15) (1,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph11", - "image": "data/cycle/graph_visual/Base/medium/graph11.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (2,10) (3,4) (0,9) (10,6) (8,7) (8,9) (10,8) (3,5) (2,1) (4,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph14", - "image": "data/cycle/graph_visual/Base/medium/graph14.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (8,4) (8,6) (0,1) (9,2) (4,3) (4,1) (4,9) (10,1) (10,5) (3,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph6", - "image": "data/cycle/graph_visual/Base/medium/graph6.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (3,6) (8,5) (4,0) (8,0) (8,1) (8,10) (1,7) (10,2) (9,3) (6,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1754", - "image": "data/cycle/graph_visual/Base/medium/graph1754.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (0,23) (17,10) (19,16) (10,15) (0,8) (0,1) (21,0) (2,1) (23,12) (20,24) (19,11) (18,12) (9,13) (18,4) (13,20) (12,3) (15,9) (16,7) (22,5) (11,12) (3,20) (5,16) (6,19) (11,1) (14,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph5", - "image": "data/cycle/graph_visual/Base/medium/graph5.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (9,4) (0,4) (2,8) (1,8) (6,9) (2,7) (5,7) (10,9) (3,1) (4,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph62", - "image": "data/cycle/graph_visual/Base/medium/graph62.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (9,3) (5,4) (3,0) (5,10) (0,6) (8,2) (1,5) (8,0) (6,1) (9,7) (11,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph981", - "image": "data/cycle/graph_visual/Base/medium/graph981.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (6,1) (5,7) (0,4) (8,2) (4,6) (10,8) (5,6) (5,9) (8,6) (0,1) (2,0) (11,5) (11,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1187", - "image": "data/cycle/graph_visual/Base/medium/graph1187.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (14,13) (11,2) (11,12) (3,0) (9,4) (3,10) (4,0) (0,1) (12,7) (7,3) (12,13) (1,8) (0,2) (13,6) (5,1) (14,5) (9,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph180", - "image": "data/cycle/graph_visual/Base/medium/graph180.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (12,1) (8,7) (6,5) (3,13) (3,10) (2,4) (3,11) (12,0) (4,1) (3,5) (9,8) (4,7) (9,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1594", - "image": "data/cycle/graph_visual/Base/medium/graph1594.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (1,21) (16,14) (10,1) (18,6) (5,15) (3,0) (20,1) (16,4) (0,1) (8,21) (2,0) (13,0) (13,3) (15,16) (5,2) (9,17) (18,20) (8,12) (17,7) (21,17) (18,2) (3,18) (18,11) (19,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1054", - "image": "data/cycle/graph_visual/Base/medium/graph1054.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (9,1) (10,11) (2,7) (4,2) (9,0) (3,6) (8,7) (5,10) (12,5) (2,11) (1,11) (0,3) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1130", - "image": "data/cycle/graph_visual/Base/medium/graph1130.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (9,13) (6,8) (4,13) (0,2) (0,3) (0,4) (1,13) (2,3) (3,10) (1,0) (11,8) (8,4) (12,13) (3,13) (5,8) (7,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph634", - "image": "data/cycle/graph_visual/Base/medium/graph634.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (17,12) (0,20) (12,1) (14,2) (13,20) (4,2) (19,11) (20,12) (19,16) (0,10) (19,9) (6,15) (4,18) (9,5) (3,17) (16,7) (6,8) (0,14) (7,0) (8,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1404", - "image": "data/cycle/graph_visual/Base/medium/graph1404.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (1,8) (13,12) (7,0) (12,1) (0,9) (17,16) (15,14) (4,0) (9,10) (2,0) (6,11) (1,0) (16,7) (2,4) (0,14) (3,17) (6,8) (3,0) (18,5) (0,5) (12,4) (5,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph437", - "image": "data/cycle/graph_visual/Base/medium/graph437.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (5,16) (3,14) (6,8) (15,14) (12,1) (6,5) (0,3) (2,4) (14,13) (9,4) (5,17) (5,10) (0,16) (0,9) (11,6) (7,5) (12,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph891", - "image": "data/cycle/graph_visual/Base/medium/graph891.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (4,21) (19,2) (6,3) (8,4) (16,13) (6,14) (23,16) (12,22) (5,19) (5,23) (8,23) (23,11) (18,0) (14,17) (15,11) (0,1) (23,14) (20,11) (1,22) (7,16) (5,1) (22,9) (1,24) (15,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph475", - "image": "data/cycle/graph_visual/Base/medium/graph475.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (6,2) (4,6) (11,8) (7,5) (15,7) (15,17) (11,12) (16,7) (15,0) (8,2) (9,2) (9,3) (1,8) (12,5) (17,13) (8,10) (10,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph52", - "image": "data/cycle/graph_visual/Base/medium/graph52.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (10,0) (2,3) (7,5) (3,7) (0,7) (9,1) (6,7) (8,5) (9,8) (4,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph484", - "image": "data/cycle/graph_visual/Base/medium/graph484.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (5,2) (10,11) (10,8) (17,3) (17,6) (1,12) (16,14) (14,7) (15,12) (1,13) (3,0) (0,13) (18,8) (0,8) (9,18) (11,4) (16,12) (2,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph607", - "image": "data/cycle/graph_visual/Base/medium/graph607.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (15,5) (0,2) (9,1) (17,3) (9,8) (19,16) (5,13) (13,6) (7,14) (11,2) (13,14) (9,12) (15,3) (20,14) (14,18) (5,11) (10,7) (17,8) (16,4) (4,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1539", - "image": "data/cycle/graph_visual/Base/medium/graph1539.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (12,0) (1,0) (8,14) (4,2) (11,7) (15,18) (12,8) (19,20) (19,9) (19,13) (19,2) (6,13) (4,7) (3,0) (5,10) (0,2) (1,12) (16,12) (17,2) (15,6) (0,4) (3,6) (16,17) (5,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1663", - "image": "data/cycle/graph_visual/Base/medium/graph1663.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (5,12) (9,18) (20,2) (16,9) (9,7) (10,17) (6,9) (0,1) (15,7) (22,0) (10,7) (17,1) (12,13) (15,14) (8,6) (1,11) (2,10) (0,2) (3,11) (9,21) (7,13) (4,14) (19,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1446", - "image": "data/cycle/graph_visual/Base/medium/graph1446.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (3,8) (13,0) (10,15) (4,3) (16,13) (19,6) (0,5) (11,18) (14,18) (6,13) (12,5) (4,1) (4,10) (9,10) (2,3) (0,1) (2,17) (8,7) (0,2) (15,18) (13,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1310", - "image": "data/cycle/graph_visual/Base/medium/graph1310.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (9,6) (16,7) (0,2) (5,0) (10,9) (15,13) (4,9) (0,3) (8,5) (2,15) (15,3) (1,0) (16,4) (1,5) (1,13) (4,0) (6,3) (12,5) (14,8) (5,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph120", - "image": "data/cycle/graph_visual/Base/medium/graph120.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (6,3) (9,0) (1,2) (10,12) (10,5) (7,10) (8,2) (4,3) (7,4) (8,11) (2,10) (8,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph337", - "image": "data/cycle/graph_visual/Base/medium/graph337.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (12,14) (11,12) (5,0) (2,1) (8,9) (7,15) (12,10) (4,7) (0,13) (5,11) (1,11) (9,13) (3,0) (12,15) (10,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph177", - "image": "data/cycle/graph_visual/Base/medium/graph177.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (6,2) (3,8) (10,5) (0,5) (0,12) (8,6) (7,6) (11,4) (1,4) (9,5) (6,5) (11,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph613", - "image": "data/cycle/graph_visual/Base/medium/graph613.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (13,20) (15,10) (7,16) (0,18) (12,17) (19,4) (19,16) (12,11) (1,11) (0,6) (18,3) (13,9) (10,14) (12,20) (16,5) (2,1) (0,5) (7,8) (15,9) (19,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph538", - "image": "data/cycle/graph_visual/Base/medium/graph538.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (16,12) (3,11) (13,14) (1,0) (14,0) (3,13) (15,3) (9,12) (17,6) (4,17) (8,2) (7,0) (6,16) (5,10) (0,18) (9,10) (2,16) (6,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph614", - "image": "data/cycle/graph_visual/Base/medium/graph614.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (4,0) (10,7) (19,6) (5,12) (13,11) (13,16) (14,2) (14,9) (12,11) (3,16) (10,6) (1,8) (18,17) (20,7) (5,15) (3,2) (14,8) (4,14) (3,17) (20,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph579", - "image": "data/cycle/graph_visual/Base/medium/graph579.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (0,10) (8,2) (3,17) (2,13) (13,5) (10,12) (15,6) (8,4) (14,15) (19,2) (8,7) (16,9) (1,19) (9,3) (9,1) (0,3) (0,15) (9,11) (18,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1554", - "image": "data/cycle/graph_visual/Base/medium/graph1554.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (4,3) (4,0) (15,18) (20,8) (0,3) (9,3) (19,2) (14,13) (6,13) (1,0) (4,10) (6,20) (0,2) (0,13) (18,14) (16,5) (15,10) (12,18) (0,5) (7,8) (2,3) (17,13) (1,4) (11,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph817", - "image": "data/cycle/graph_visual/Base/medium/graph817.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (12,2) (8,12) (7,3) (23,22) (6,17) (13,10) (19,22) (19,16) (3,11) (10,20) (0,11) (21,3) (4,23) (0,8) (9,8) (10,22) (16,15) (6,5) (1,4) (17,18) (15,2) (14,20) (22,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1604", - "image": "data/cycle/graph_visual/Base/medium/graph1604.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (4,9) (1,0) (7,0) (20,10) (21,14) (12,21) (8,13) (20,12) (17,5) (3,17) (16,10) (11,6) (16,8) (13,18) (5,9) (15,8) (7,12) (2,13) (19,21) (0,3) (1,16) (9,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1566", - "image": "data/cycle/graph_visual/Base/medium/graph1566.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (2,0) (4,12) (8,20) (0,3) (12,0) (4,10) (14,16) (19,20) (16,5) (13,11) (21,19) (1,15) (19,14) (11,9) (0,21) (0,17) (18,7) (1,0) (7,17) (11,15) (8,15) (21,6) (8,2) (4,0) (3,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1688", - "image": "data/cycle/graph_visual/Base/medium/graph1688.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (17,19) (2,0) (23,0) (22,23) (13,21) (1,14) (6,13) (23,7) (19,9) (3,21) (4,15) (8,6) (1,0) (16,18) (20,5) (22,13) (0,3) (10,17) (12,4) (1,11) (4,0) (23,1) (15,21) (20,7) (19,13) (5,16) (6,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1144", - "image": "data/cycle/graph_visual/Base/medium/graph1144.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (6,2) (1,14) (6,3) (0,2) (0,1) (6,5) (4,13) (0,4) (11,8) (3,1) (1,11) (12,2) (7,8) (3,0) (9,8) (10,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1791", - "image": "data/cycle/graph_visual/Base/medium/graph1791.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (9,11) (11,15) (14,4) (7,17) (17,0) (11,16) (19,21) (21,6) (21,3) (21,0) (22,19) (15,1) (1,0) (8,15) (8,2) (7,23) (16,5) (0,12) (12,13) (24,14) (19,4) (10,4) (20,8) (22,20) (14,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph287", - "image": "data/cycle/graph_visual/Base/medium/graph287.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (10,0) (2,12) (10,9) (3,5) (4,11) (9,14) (13,4) (1,14) (8,7) (6,10) (1,3) (2,13) (0,11) (0,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph222", - "image": "data/cycle/graph_visual/Base/medium/graph222.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (13,7) (1,12) (8,2) (11,12) (11,10) (1,7) (11,4) (7,2) (5,9) (10,5) (12,6) (3,0) (0,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1282", - "image": "data/cycle/graph_visual/Base/medium/graph1282.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (11,15) (2,11) (13,5) (16,12) (1,5) (11,14) (3,0) (8,6) (9,10) (4,2) (0,1) (14,16) (2,0) (13,12) (8,9) (2,3) (6,1) (5,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1227", - "image": "data/cycle/graph_visual/Base/medium/graph1227.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (2,14) (14,4) (13,11) (9,5) (5,12) (1,6) (2,0) (1,8) (14,7) (12,3) (8,14) (6,15) (11,10) (0,4) (2,3) (3,13) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph56", - "image": "data/cycle/graph_visual/Base/medium/graph56.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (7,6) (3,4) (1,2) (10,2) (1,0) (2,7) (9,10) (4,7) (8,5) (5,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1253", - "image": "data/cycle/graph_visual/Base/medium/graph1253.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (3,0) (0,1) (3,9) (11,6) (13,0) (0,5) (10,4) (6,14) (8,12) (15,11) (10,3) (0,6) (9,2) (13,3) (14,12) (2,0) (7,2) (4,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1232", - "image": "data/cycle/graph_visual/Base/medium/graph1232.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (4,0) (3,0) (15,2) (1,13) (11,5) (3,14) (4,9) (5,8) (15,4) (9,7) (5,10) (6,9) (2,0) (12,8) (15,13) (6,3) (5,1) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1362", - "image": "data/cycle/graph_visual/Base/medium/graph1362.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (0,2) (11,0) (0,17) (13,9) (0,3) (17,9) (7,13) (15,2) (1,8) (11,3) (5,11) (15,10) (12,1) (15,6) (12,6) (0,1) (14,2) (1,4) (1,11) (0,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph683", - "image": "data/cycle/graph_visual/Base/medium/graph683.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (2,10) (17,6) (5,14) (1,2) (8,12) (7,21) (18,2) (10,13) (19,0) (9,21) (6,9) (13,4) (11,2) (14,19) (0,7) (5,18) (15,11) (19,3) (10,20) (8,4) (16,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1512", - "image": "data/cycle/graph_visual/Base/medium/graph1512.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (10,16) (20,9) (16,11) (5,20) (3,7) (8,4) (5,1) (17,16) (16,15) (2,0) (19,20) (15,6) (14,15) (9,14) (2,20) (18,0) (20,7) (5,12) (19,13) (17,8) (0,1) (10,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1708", - "image": "data/cycle/graph_visual/Base/medium/graph1708.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (11,23) (0,2) (10,7) (1,0) (14,16) (22,4) (9,8) (4,0) (6,13) (7,14) (9,12) (18,15) (11,21) (0,3) (22,2) (5,0) (14,19) (4,16) (5,13) (3,17) (2,20) (8,17) (5,22) (23,3) (13,23) (9,1) (15,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph542", - "image": "data/cycle/graph_visual/Base/medium/graph542.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (10,19) (7,1) (6,16) (2,9) (3,14) (7,4) (14,12) (2,17) (15,8) (18,1) (5,9) (9,19) (2,12) (6,9) (13,2) (15,2) (11,8) (0,14) (4,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph866", - "image": "data/cycle/graph_visual/Base/medium/graph866.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (15,18) (15,6) (24,19) (2,5) (16,18) (21,4) (23,6) (10,11) (7,24) (0,22) (17,24) (1,0) (0,8) (12,1) (8,15) (15,2) (24,10) (23,20) (17,13) (13,23) (18,3) (21,11) (14,4) (8,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1224", - "image": "data/cycle/graph_visual/Base/medium/graph1224.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (7,5) (3,14) (1,12) (14,12) (9,4) (0,3) (0,4) (13,14) (0,1) (6,11) (5,6) (2,4) (0,2) (6,8) (0,15) (5,2) (0,9) (10,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1720", - "image": "data/cycle/graph_visual/Base/medium/graph1720.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (16,22) (20,10) (0,16) (19,11) (23,22) (9,10) (18,15) (12,14) (2,12) (20,0) (0,1) (5,3) (2,11) (6,7) (1,15) (9,8) (10,14) (22,13) (5,21) (10,6) (17,0) (10,5) (17,4) (11,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph587", - "image": "data/cycle/graph_visual/Base/medium/graph587.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (12,16) (13,19) (14,9) (10,16) (16,8) (13,9) (10,17) (17,7) (2,18) (5,19) (2,9) (1,5) (14,15) (5,11) (6,15) (18,0) (7,3) (15,16) (4,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1325", - "image": "data/cycle/graph_visual/Base/medium/graph1325.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (10,3) (5,13) (3,0) (1,0) (11,2) (11,1) (16,15) (17,1) (6,3) (9,17) (17,7) (16,10) (4,14) (16,7) (13,8) (12,1) (0,2) (4,8) (14,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1793", - "image": "data/cycle/graph_visual/Base/medium/graph1793.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (2,1) (2,0) (19,0) (24,3) (2,11) (21,22) (7,24) (1,0) (6,23) (0,4) (9,22) (0,3) (18,2) (5,18) (13,4) (22,15) (5,14) (11,17) (10,2) (19,14) (7,0) (9,6) (13,10) (10,21) (12,19) (8,16) (20,4) (8,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1268", - "image": "data/cycle/graph_visual/Base/medium/graph1268.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (3,9) (16,15) (4,7) (3,0) (10,2) (8,1) (15,9) (15,0) (0,8) (14,8) (11,6) (2,0) (0,1) (7,12) (10,7) (4,16) (3,6) (13,0) (6,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph321", - "image": "data/cycle/graph_visual/Base/medium/graph321.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (6,13) (1,8) (15,14) (5,2) (10,2) (10,12) (2,8) (3,4) (11,7) (14,5) (4,13) (2,0) (4,11) (6,9) (10,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1088", - "image": "data/cycle/graph_visual/Base/medium/graph1088.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (10,3) (6,0) (1,2) (9,7) (4,7) (3,12) (13,3) (1,7) (0,11) (6,2) (0,1) (13,8) (10,0) (5,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1767", - "image": "data/cycle/graph_visual/Base/medium/graph1767.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (8,23) (13,5) (11,5) (11,15) (3,8) (16,13) (20,0) (1,0) (12,14) (18,1) (10,15) (17,1) (2,7) (1,6) (21,13) (23,1) (19,4) (24,2) (22,20) (0,14) (14,11) (12,17) (9,16) (7,0) (4,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1245", - "image": "data/cycle/graph_visual/Base/medium/graph1245.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (14,8) (7,15) (9,15) (3,15) (3,5) (0,4) (4,1) (13,12) (2,0) (3,0) (0,12) (15,13) (2,8) (1,0) (2,4) (0,14) (10,12) (11,6) (3,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1637", - "image": "data/cycle/graph_visual/Base/medium/graph1637.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (9,1) (0,16) (8,21) (14,15) (13,22) (17,19) (19,15) (4,6) (14,4) (1,2) (18,21) (20,0) (0,1) (22,5) (10,3) (19,11) (13,17) (9,22) (19,12) (13,16) (11,7) (11,18) (14,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph137", - "image": "data/cycle/graph_visual/Base/medium/graph137.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (3,6) (6,5) (8,4) (7,2) (5,1) (4,12) (0,9) (0,6) (11,12) (7,3) (4,3) (4,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1288", - "image": "data/cycle/graph_visual/Base/medium/graph1288.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (2,16) (0,4) (7,0) (9,3) (16,14) (10,12) (5,0) (1,0) (15,7) (4,11) (2,4) (0,3) (13,0) (6,8) (14,12) (0,2) (1,12) (8,1) (9,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph678", - "image": "data/cycle/graph_visual/Base/medium/graph678.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (2,17) (1,8) (6,20) (21,7) (10,12) (15,10) (4,11) (11,5) (10,7) (15,9) (14,17) (2,4) (7,8) (0,15) (3,11) (10,11) (21,18) (13,2) (16,7) (19,17) (3,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph864", - "image": "data/cycle/graph_visual/Base/medium/graph864.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (11,8) (16,4) (0,7) (19,0) (0,14) (4,23) (9,13) (20,2) (12,17) (7,15) (9,10) (24,4) (18,16) (11,5) (12,11) (18,21) (2,13) (0,24) (10,3) (6,18) (16,1) (22,3) (19,11) (8,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph910", - "image": "data/cycle/graph_visual/Base/medium/graph910.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (10,7) (0,4) (5,2) (8,6) (0,9) (5,4) (1,0) (2,0) (3,6) (0,5) (0,10) (0,3) (3,1) (1,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph651", - "image": "data/cycle/graph_visual/Base/medium/graph651.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (2,13) (15,8) (9,18) (14,3) (19,1) (7,4) (17,2) (2,15) (14,0) (6,9) (6,16) (19,9) (10,20) (8,11) (2,12) (10,4) (12,14) (5,9) (1,7) (2,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph294", - "image": "data/cycle/graph_visual/Base/medium/graph294.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (8,5) (1,0) (12,6) (12,7) (9,11) (10,7) (14,6) (11,1) (3,13) (2,3) (4,2) (10,2) (2,11) (8,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph586", - "image": "data/cycle/graph_visual/Base/medium/graph586.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (13,2) (7,18) (14,3) (0,3) (5,16) (8,5) (0,16) (2,4) (6,10) (9,4) (9,0) (14,17) (15,19) (14,18) (6,12) (1,12) (15,5) (11,5) (6,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph498", - "image": "data/cycle/graph_visual/Base/medium/graph498.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (8,11) (8,15) (16,1) (10,5) (10,4) (0,18) (9,13) (2,17) (12,8) (11,3) (3,17) (7,10) (18,13) (6,4) (0,11) (14,1) (18,16) (4,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1142", - "image": "data/cycle/graph_visual/Base/medium/graph1142.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (2,9) (0,14) (0,2) (10,4) (14,12) (11,10) (7,14) (14,8) (13,10) (13,14) (3,10) (0,1) (12,6) (4,2) (0,4) (3,0) (5,12) (11,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph213", - "image": "data/cycle/graph_visual/Base/medium/graph213.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (7,13) (13,2) (8,1) (2,0) (9,5) (13,3) (6,7) (4,7) (8,10) (6,8) (11,0) (2,12) (8,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph775", - "image": "data/cycle/graph_visual/Base/medium/graph775.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (19,22) (18,4) (2,17) (2,15) (11,3) (13,15) (11,0) (10,1) (14,9) (8,13) (22,12) (6,15) (5,1) (6,12) (12,0) (7,11) (18,1) (16,17) (0,21) (20,1) (21,9) (11,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph669", - "image": "data/cycle/graph_visual/Base/medium/graph669.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (7,11) (16,1) (2,11) (3,17) (5,4) (11,19) (12,21) (8,3) (20,19) (5,18) (18,6) (2,9) (17,18) (0,15) (12,13) (11,12) (1,19) (4,10) (15,5) (21,3) (14,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph708", - "image": "data/cycle/graph_visual/Base/medium/graph708.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (8,5) (21,4) (9,17) (14,2) (16,15) (10,0) (1,19) (0,3) (1,20) (6,13) (4,2) (3,9) (9,12) (7,15) (2,19) (10,13) (15,0) (11,8) (3,18) (20,9) (8,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph654", - "image": "data/cycle/graph_visual/Base/medium/graph654.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (6,12) (1,11) (19,14) (17,0) (3,7) (10,6) (15,18) (15,12) (4,2) (8,12) (6,13) (14,12) (4,9) (16,7) (2,1) (20,16) (14,0) (20,15) (4,7) (11,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1438", - "image": "data/cycle/graph_visual/Base/medium/graph1438.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (17,5) (6,16) (18,2) (10,13) (11,2) (11,12) (18,7) (9,6) (14,0) (0,7) (15,4) (10,9) (4,8) (0,1) (2,10) (5,14) (4,13) (2,1) (3,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1039", - "image": "data/cycle/graph_visual/Base/medium/graph1039.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (11,10) (0,3) (0,7) (9,5) (4,0) (6,0) (10,8) (4,7) (2,0) (1,5) (6,5) (8,12) (0,1) (2,9) (4,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph488", - "image": "data/cycle/graph_visual/Base/medium/graph488.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (12,6) (7,3) (17,15) (4,9) (14,15) (2,1) (16,0) (18,12) (13,6) (4,7) (7,16) (14,0) (4,2) (11,1) (12,14) (6,10) (12,8) (5,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1235", - "image": "data/cycle/graph_visual/Base/medium/graph1235.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (15,6) (9,15) (10,0) (14,1) (0,1) (0,13) (14,11) (3,12) (5,12) (10,2) (9,7) (8,0) (11,7) (9,10) (4,14) (5,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1046", - "image": "data/cycle/graph_visual/Base/medium/graph1046.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (2,12) (1,4) (0,3) (0,1) (11,4) (8,7) (2,0) (0,6) (6,5) (12,11) (8,9) (10,2) (7,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph989", - "image": "data/cycle/graph_visual/Base/medium/graph989.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (7,2) (0,2) (11,5) (0,10) (0,1) (0,3) (10,1) (3,9) (4,7) (11,8) (4,1) (4,6) (4,8) (1,3) (0,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph856", - "image": "data/cycle/graph_visual/Base/medium/graph856.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (2,19) (10,7) (11,15) (19,18) (20,4) (0,24) (17,21) (7,12) (22,23) (11,5) (20,0) (17,13) (4,19) (22,10) (3,23) (11,9) (14,19) (22,8) (22,16) (9,23) (1,2) (5,6) (12,4) (22,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph426", - "image": "data/cycle/graph_visual/Base/medium/graph426.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (16,1) (9,11) (2,8) (15,8) (8,17) (11,16) (15,11) (14,15) (8,13) (14,0) (12,3) (4,13) (7,15) (3,10) (14,5) (2,10) (1,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph610", - "image": "data/cycle/graph_visual/Base/medium/graph610.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (7,4) (11,6) (9,3) (12,17) (14,7) (10,2) (6,3) (17,20) (15,9) (8,19) (5,6) (0,8) (17,4) (20,15) (16,0) (13,19) (18,16) (1,8) (10,7) (15,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph49", - "image": "data/cycle/graph_visual/Base/medium/graph49.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (8,9) (4,2) (7,8) (7,6) (8,4) (3,5) (0,6) (3,7) (4,1) (10,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph134", - "image": "data/cycle/graph_visual/Base/medium/graph134.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (11,1) (1,0) (3,4) (2,1) (3,5) (10,7) (7,2) (6,9) (11,8) (12,6) (4,1) (0,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1055", - "image": "data/cycle/graph_visual/Base/medium/graph1055.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (2,9) (7,3) (1,0) (0,5) (9,8) (12,8) (8,10) (3,0) (0,9) (0,2) (9,6) (4,1) (6,1) (2,11) (3,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph144", - "image": "data/cycle/graph_visual/Base/medium/graph144.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (5,8) (12,2) (0,9) (0,1) (9,4) (6,11) (12,3) (1,10) (7,4) (5,2) (4,6) (6,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph727", - "image": "data/cycle/graph_visual/Base/medium/graph727.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (11,15) (16,7) (5,1) (17,8) (13,12) (16,6) (2,13) (16,4) (21,22) (14,15) (8,19) (12,9) (22,17) (9,4) (8,1) (4,3) (18,6) (15,10) (3,19) (9,20) (11,18) (0,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph822", - "image": "data/cycle/graph_visual/Base/medium/graph822.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (2,4) (13,1) (12,14) (6,23) (21,15) (9,4) (4,7) (14,22) (2,1) (10,6) (19,20) (15,18) (7,3) (11,22) (11,5) (7,16) (0,14) (12,15) (20,0) (16,6) (8,12) (12,17) (18,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph15", - "image": "data/cycle/graph_visual/Base/medium/graph15.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (8,2) (4,8) (7,8) (0,8) (3,8) (5,2) (6,3) (9,4) (6,10) (1,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1338", - "image": "data/cycle/graph_visual/Base/medium/graph1338.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (6,2) (11,4) (13,5) (15,4) (7,17) (6,3) (14,5) (9,17) (13,6) (1,10) (7,15) (8,13) (16,1) (6,0) (1,12) (7,0) (16,13) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph135", - "image": "data/cycle/graph_visual/Base/medium/graph135.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (7,12) (5,1) (4,5) (2,4) (7,10) (8,1) (5,11) (12,8) (0,7) (11,3) (10,6) (3,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph550", - "image": "data/cycle/graph_visual/Base/medium/graph550.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (14,10) (5,4) (9,3) (10,1) (17,15) (18,2) (7,8) (6,9) (7,1) (14,15) (16,8) (13,0) (7,0) (1,12) (9,18) (13,19) (4,12) (11,4) (5,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph395", - "image": "data/cycle/graph_visual/Base/medium/graph395.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (0,15) (16,14) (10,9) (2,5) (6,9) (4,0) (2,1) (8,4) (0,14) (7,14) (13,7) (5,11) (12,4) (3,11) (12,11) (10,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1229", - "image": "data/cycle/graph_visual/Base/medium/graph1229.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (15,7) (11,0) (6,14) (4,13) (2,10) (5,8) (14,10) (0,2) (15,1) (7,2) (15,9) (0,1) (12,15) (1,3) (13,8) (0,6) (5,1) (3,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1025", - "image": "data/cycle/graph_visual/Base/medium/graph1025.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (7,12) (1,0) (8,9) (1,3) (9,1) (6,7) (8,5) (0,2) (10,2) (2,7) (4,0) (4,9) (4,11) (1,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1393", - "image": "data/cycle/graph_visual/Base/medium/graph1393.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (17,16) (7,14) (0,15) (3,0) (4,9) (1,7) (15,6) (13,8) (4,11) (17,15) (10,15) (8,17) (17,18) (2,0) (5,17) (7,6) (0,1) (18,11) (3,18) (2,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1148", - "image": "data/cycle/graph_visual/Base/medium/graph1148.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (0,1) (14,7) (9,6) (2,14) (5,3) (12,11) (9,14) (0,2) (6,10) (13,8) (4,14) (5,1) (2,3) (4,0) (4,8) (0,3) (0,6) (11,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1607", - "image": "data/cycle/graph_visual/Base/medium/graph1607.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (20,17) (0,8) (9,15) (0,15) (19,16) (1,8) (8,20) (5,6) (4,17) (0,1) (12,17) (18,21) (0,2) (10,2) (21,15) (3,9) (16,0) (3,6) (4,7) (7,10) (19,13) (6,11) (7,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1765", - "image": "data/cycle/graph_visual/Base/medium/graph1765.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (7,8) (20,21) (2,9) (16,0) (6,9) (13,15) (16,5) (18,13) (13,20) (7,5) (19,23) (14,20) (0,3) (11,17) (0,1) (10,3) (12,24) (2,17) (0,2) (0,10) (1,4) (8,23) (22,11) (12,15) (8,17) (2,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph93", - "image": "data/cycle/graph_visual/Base/medium/graph93.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (4,3) (7,5) (2,6) (2,3) (10,0) (2,1) (5,6) (0,1) (9,11) (3,11) (3,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1741", - "image": "data/cycle/graph_visual/Base/medium/graph1741.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (15,12) (6,14) (0,7) (17,9) (22,11) (23,5) (5,22) (18,23) (8,4) (21,10) (19,16) (7,1) (15,0) (9,24) (19,0) (0,4) (17,15) (21,14) (2,3) (0,1) (9,4) (0,3) (24,21) (18,10) (12,20) (0,2) (0,13) (20,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph893", - "image": "data/cycle/graph_visual/Base/medium/graph893.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (9,5) (6,17) (6,19) (5,21) (2,7) (2,1) (24,22) (4,8) (15,6) (13,1) (17,9) (0,15) (20,22) (12,10) (20,15) (14,1) (14,3) (20,16) (11,4) (12,1) (13,4) (18,6) (9,11) (23,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1159", - "image": "data/cycle/graph_visual/Base/medium/graph1159.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (13,8) (0,5) (14,9) (4,10) (2,11) (2,0) (14,5) (10,12) (3,0) (4,1) (14,2) (10,2) (13,3) (10,6) (0,4) (3,10) (0,1) (12,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1372", - "image": "data/cycle/graph_visual/Base/medium/graph1372.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (14,17) (14,8) (7,5) (13,7) (16,14) (3,9) (10,13) (14,11) (10,15) (13,0) (9,16) (4,16) (14,6) (1,9) (12,17) (1,0) (7,2) (17,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1331", - "image": "data/cycle/graph_visual/Base/medium/graph1331.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (1,5) (6,16) (7,9) (4,11) (0,14) (8,2) (14,7) (17,7) (10,1) (1,0) (0,8) (13,11) (7,3) (3,16) (3,5) (11,15) (12,15) (17,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph33", - "image": "data/cycle/graph_visual/Base/medium/graph33.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (3,8) (9,6) (4,9) (2,5) (0,1) (5,7) (0,3) (0,9) (10,7) (8,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1125", - "image": "data/cycle/graph_visual/Base/medium/graph1125.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (0,3) (3,1) (9,4) (6,7) (13,6) (8,7) (4,12) (1,0) (1,7) (1,9) (7,2) (2,0) (5,0) (4,0) (5,8) (11,2) (9,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph552", - "image": "data/cycle/graph_visual/Base/medium/graph552.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (2,5) (15,11) (10,17) (18,0) (3,13) (7,8) (10,3) (7,15) (9,0) (10,1) (16,15) (16,14) (1,12) (19,0) (16,1) (4,9) (2,6) (4,6) (19,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph898", - "image": "data/cycle/graph_visual/Base/medium/graph898.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (18,10) (19,2) (22,6) (15,17) (5,9) (17,2) (10,16) (14,19) (6,1) (24,17) (23,21) (7,13) (14,3) (15,1) (23,18) (8,15) (23,14) (7,14) (4,0) (20,12) (4,17) (15,9) (12,6) (12,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1522", - "image": "data/cycle/graph_visual/Base/medium/graph1522.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (4,11) (18,6) (11,9) (3,14) (2,7) (1,12) (12,10) (1,0) (16,6) (15,20) (2,1) (5,6) (0,15) (19,2) (13,4) (9,17) (8,4) (1,13) (14,1) (20,17) (9,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph212", - "image": "data/cycle/graph_visual/Base/medium/graph212.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (2,10) (0,1) (12,11) (0,8) (2,3) (7,0) (9,12) (5,0) (13,3) (5,6) (4,1) (8,10) (12,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph884", - "image": "data/cycle/graph_visual/Base/medium/graph884.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (0,2) (9,10) (2,4) (19,16) (17,3) (11,0) (16,24) (9,19) (12,20) (5,2) (20,15) (7,0) (19,13) (18,12) (4,20) (22,16) (1,12) (19,5) (8,1) (21,14) (6,17) (7,23) (6,8) (14,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1097", - "image": "data/cycle/graph_visual/Base/medium/graph1097.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (13,3) (2,6) (3,8) (5,7) (0,2) (0,1) (6,11) (3,0) (9,12) (5,0) (1,8) (10,0) (1,2) (7,1) (4,0) (12,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph507", - "image": "data/cycle/graph_visual/Base/medium/graph507.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (0,16) (11,1) (0,14) (3,7) (12,8) (12,18) (11,5) (4,7) (2,4) (14,12) (4,9) (10,6) (1,2) (15,14) (6,13) (12,6) (17,15) (7,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph653", - "image": "data/cycle/graph_visual/Base/medium/graph653.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (8,10) (16,17) (19,0) (19,14) (11,3) (3,7) (6,13) (16,8) (1,16) (5,10) (9,5) (4,10) (14,5) (14,15) (8,18) (20,16) (12,9) (3,14) (6,11) (2,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph557", - "image": "data/cycle/graph_visual/Base/medium/graph557.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (10,1) (14,11) (17,1) (13,16) (12,17) (5,4) (1,0) (19,14) (14,12) (2,8) (16,6) (15,4) (13,5) (9,13) (5,11) (11,8) (1,3) (15,7) (18,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1635", - "image": "data/cycle/graph_visual/Base/medium/graph1635.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (0,18) (5,1) (14,15) (16,15) (12,15) (21,16) (13,22) (18,17) (6,0) (10,2) (0,2) (13,9) (7,11) (5,20) (15,10) (14,6) (7,2) (11,1) (8,19) (18,3) (4,1) (8,20) (0,1) (13,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph485", - "image": "data/cycle/graph_visual/Base/medium/graph485.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (17,15) (3,9) (9,1) (13,10) (14,9) (16,4) (17,14) (7,13) (7,5) (8,18) (8,14) (2,17) (11,16) (14,6) (2,7) (10,16) (13,0) (14,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph520", - "image": "data/cycle/graph_visual/Base/medium/graph520.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (14,1) (6,5) (9,18) (9,5) (1,12) (13,4) (13,1) (3,14) (4,8) (12,10) (9,11) (15,0) (7,2) (4,11) (17,2) (16,6) (6,15) (2,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph876", - "image": "data/cycle/graph_visual/Base/medium/graph876.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (18,16) (5,13) (16,22) (1,5) (20,5) (2,9) (21,23) (16,15) (21,20) (12,16) (3,20) (4,7) (6,8) (7,15) (19,17) (19,10) (2,20) (8,20) (11,17) (0,18) (14,15) (10,21) (9,14) (9,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph330", - "image": "data/cycle/graph_visual/Base/medium/graph330.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (4,8) (6,14) (2,9) (1,11) (5,6) (15,13) (6,12) (13,1) (12,4) (7,2) (5,9) (2,1) (3,14) (0,15) (10,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1259", - "image": "data/cycle/graph_visual/Base/medium/graph1259.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (15,10) (1,0) (9,2) (11,5) (6,14) (0,4) (2,15) (12,1) (12,6) (1,4) (11,0) (7,13) (3,11) (11,1) (0,2) (3,0) (15,0) (8,1) (13,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph183", - "image": "data/cycle/graph_visual/Base/medium/graph183.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (6,2) (13,5) (5,4) (12,8) (9,0) (0,8) (7,12) (3,12) (0,10) (9,11) (13,6) (13,12) (3,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph915", - "image": "data/cycle/graph_visual/Base/medium/graph915.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (10,9) (3,1) (0,10) (0,4) (0,3) (1,0) (7,2) (5,8) (0,8) (2,0) (2,3) (6,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1111", - "image": "data/cycle/graph_visual/Base/medium/graph1111.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (6,2) (8,7) (11,13) (13,4) (1,13) (0,1) (8,10) (4,0) (12,3) (7,6) (12,6) (9,0) (6,5) (4,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph816", - "image": "data/cycle/graph_visual/Base/medium/graph816.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (10,2) (1,17) (20,10) (20,12) (22,0) (19,11) (17,9) (19,2) (18,6) (3,7) (15,5) (14,16) (6,21) (8,18) (9,15) (16,13) (7,17) (23,6) (3,11) (4,0) (13,22) (8,20) (18,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1501", - "image": "data/cycle/graph_visual/Base/medium/graph1501.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (8,11) (17,8) (14,6) (9,19) (0,13) (11,2) (0,11) (5,0) (4,0) (3,20) (18,5) (4,8) (10,12) (1,6) (0,15) (6,7) (12,7) (2,0) (3,0) (12,18) (9,2) (0,1) (20,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1686", - "image": "data/cycle/graph_visual/Base/medium/graph1686.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (2,1) (0,1) (5,11) (16,6) (6,18) (20,0) (16,7) (17,12) (9,4) (2,4) (2,0) (18,15) (12,15) (11,22) (14,22) (21,15) (6,10) (13,1) (4,7) (3,7) (6,23) (3,0) (14,12) (12,8) (0,14) (20,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1482", - "image": "data/cycle/graph_visual/Base/medium/graph1482.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (11,5) (4,2) (5,16) (17,14) (8,5) (6,12) (1,0) (14,18) (2,13) (16,0) (4,9) (6,5) (3,14) (5,15) (0,3) (6,10) (12,1) (19,15) (18,7) (0,2) (9,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph734", - "image": "data/cycle/graph_visual/Base/medium/graph734.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (21,8) (20,17) (6,12) (13,17) (9,15) (18,7) (8,1) (6,10) (21,19) (3,6) (5,15) (0,15) (16,20) (4,17) (22,5) (7,4) (19,14) (9,3) (7,11) (0,16) (0,8) (10,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1407", - "image": "data/cycle/graph_visual/Base/medium/graph1407.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (18,9) (13,10) (16,11) (12,11) (9,14) (8,18) (3,8) (0,4) (6,7) (15,4) (5,16) (3,2) (3,16) (8,4) (1,16) (13,17) (5,0) (8,10) (3,0) (2,0) (12,6) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph518", - "image": "data/cycle/graph_visual/Base/medium/graph518.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (5,11) (12,15) (3,1) (10,8) (13,8) (14,0) (9,7) (13,7) (17,18) (17,14) (6,18) (11,15) (5,17) (16,3) (10,14) (3,4) (2,16) (1,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph897", - "image": "data/cycle/graph_visual/Base/medium/graph897.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (8,22) (22,3) (2,21) (5,0) (16,10) (23,24) (15,13) (20,17) (6,7) (20,6) (11,10) (21,24) (3,1) (8,14) (19,5) (15,18) (10,3) (8,6) (5,15) (7,12) (9,14) (4,14) (21,16) (9,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph366", - "image": "data/cycle/graph_visual/Base/medium/graph366.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (4,14) (16,12) (2,11) (2,5) (4,13) (14,11) (13,7) (13,9) (1,0) (10,6) (1,3) (5,3) (16,13) (8,14) (10,15) (10,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1156", - "image": "data/cycle/graph_visual/Base/medium/graph1156.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (14,4) (9,13) (0,2) (7,2) (3,13) (1,13) (2,3) (12,13) (14,13) (10,3) (3,0) (8,11) (5,8) (8,6) (0,1) (8,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph210", - "image": "data/cycle/graph_visual/Base/medium/graph210.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (2,8) (12,4) (3,11) (8,0) (8,7) (8,3) (8,10) (11,6) (1,5) (13,12) (11,12) (5,2) (4,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph450", - "image": "data/cycle/graph_visual/Base/medium/graph450.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (14,17) (2,15) (0,10) (14,5) (12,5) (8,4) (16,1) (9,0) (1,12) (14,3) (8,7) (11,16) (6,11) (5,4) (2,10) (13,14) (10,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph45", - "image": "data/cycle/graph_visual/Base/medium/graph45.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (8,6) (1,10) (2,6) (7,3) (4,7) (5,9) (5,6) (8,1) (2,0) (2,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1340", - "image": "data/cycle/graph_visual/Base/medium/graph1340.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (5,1) (3,13) (9,16) (10,8) (14,17) (3,2) (15,5) (1,0) (8,6) (1,6) (13,11) (13,8) (4,14) (0,2) (7,13) (15,12) (14,5) (1,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph671", - "image": "data/cycle/graph_visual/Base/medium/graph671.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (10,20) (12,2) (5,10) (13,0) (20,0) (4,17) (14,10) (5,19) (11,15) (5,3) (10,6) (2,11) (6,7) (17,15) (18,11) (9,8) (12,14) (21,16) (15,1) (16,0) (10,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph235", - "image": "data/cycle/graph_visual/Base/medium/graph235.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (12,6) (6,8) (9,0) (7,4) (10,13) (13,2) (1,0) (3,12) (5,8) (6,4) (9,4) (2,5) (1,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1164", - "image": "data/cycle/graph_visual/Base/medium/graph1164.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (13,0) (1,4) (12,5) (7,10) (3,4) (6,4) (11,7) (5,14) (14,0) (0,2) (8,9) (2,4) (0,1) (7,14) (9,2) (3,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1180", - "image": "data/cycle/graph_visual/Base/medium/graph1180.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (11,3) (14,8) (14,3) (8,12) (13,1) (9,8) (6,11) (6,13) (8,2) (0,1) (0,5) (0,7) (10,4) (2,0) (3,0) (10,7) (12,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1729", - "image": "data/cycle/graph_visual/Base/medium/graph1729.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (15,6) (0,5) (4,0) (17,1) (6,23) (6,16) (6,1) (18,3) (18,9) (19,14) (6,4) (19,13) (6,5) (9,13) (8,22) (23,7) (8,14) (0,15) (0,1) (2,0) (3,0) (11,9) (18,2) (12,11) (20,14) (21,12) (20,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph716", - "image": "data/cycle/graph_visual/Base/medium/graph716.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (5,19) (2,21) (6,9) (4,5) (18,2) (13,0) (1,7) (14,15) (10,14) (12,4) (4,11) (8,16) (20,7) (3,9) (7,8) (15,17) (18,9) (12,1) (21,13) (20,0) (10,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph394", - "image": "data/cycle/graph_visual/Base/medium/graph394.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (12,1) (15,3) (9,0) (15,14) (10,3) (0,11) (10,16) (2,0) (6,4) (6,11) (13,5) (7,1) (11,8) (0,1) (8,13) (14,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1221", - "image": "data/cycle/graph_visual/Base/medium/graph1221.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (4,11) (3,4) (6,13) (10,12) (3,0) (15,14) (4,13) (5,2) (0,2) (10,2) (7,11) (0,4) (1,8) (14,5) (2,8) (5,0) (1,0) (9,10) (9,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1258", - "image": "data/cycle/graph_visual/Base/medium/graph1258.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (9,13) (2,1) (1,0) (6,10) (11,1) (9,8) (10,12) (0,3) (11,5) (13,0) (12,11) (14,12) (12,15) (0,5) (7,4) (15,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph799", - "image": "data/cycle/graph_visual/Base/medium/graph799.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (20,10) (8,15) (13,21) (2,8) (23,15) (22,23) (14,6) (18,4) (5,13) (21,17) (21,8) (21,12) (22,3) (3,11) (9,16) (22,18) (14,0) (7,1) (1,23) (21,16) (15,14) (2,10) (11,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph132", - "image": "data/cycle/graph_visual/Base/medium/graph132.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (12,5) (4,2) (7,12) (6,11) (11,3) (9,1) (0,7) (11,10) (8,10) (0,8) (5,4) (11,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1497", - "image": "data/cycle/graph_visual/Base/medium/graph1497.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (6,13) (4,1) (2,17) (11,13) (19,3) (4,5) (15,4) (6,19) (1,0) (6,17) (8,5) (10,14) (0,3) (6,18) (6,14) (4,19) (12,5) (16,12) (7,4) (9,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph792", - "image": "data/cycle/graph_visual/Base/medium/graph792.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (6,18) (13,14) (10,2) (0,14) (0,1) (8,0) (10,5) (9,23) (3,16) (15,23) (7,23) (11,16) (12,3) (23,6) (6,22) (21,16) (13,3) (20,17) (17,4) (19,9) (12,20) (18,0) (22,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1519", - "image": "data/cycle/graph_visual/Base/medium/graph1519.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (1,11) (12,8) (20,16) (20,15) (14,12) (16,7) (7,3) (0,1) (12,6) (15,18) (10,6) (2,4) (0,2) (14,0) (17,0) (7,4) (14,19) (6,13) (1,2) (15,12) (9,4) (5,11) (3,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph640", - "image": "data/cycle/graph_visual/Base/medium/graph640.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (5,15) (2,3) (0,6) (11,13) (15,8) (20,1) (8,9) (2,11) (17,2) (10,9) (18,14) (14,16) (4,1) (7,18) (6,18) (19,15) (20,12) (9,18) (4,17) (8,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph196", - "image": "data/cycle/graph_visual/Base/medium/graph196.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (7,12) (10,6) (12,3) (11,2) (3,10) (9,13) (4,7) (2,0) (11,7) (4,8) (6,1) (12,13) (6,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph20", - "image": "data/cycle/graph_visual/Base/medium/graph20.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (4,3) (5,6) (7,2) (8,4) (6,3) (0,9) (7,3) (6,0) (1,5) (10,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph303", - "image": "data/cycle/graph_visual/Base/medium/graph303.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (12,2) (12,14) (0,15) (9,11) (6,4) (7,10) (15,10) (1,15) (8,0) (10,14) (11,13) (3,5) (6,9) (5,10) (11,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1064", - "image": "data/cycle/graph_visual/Base/medium/graph1064.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (12,11) (0,3) (6,1) (2,0) (2,11) (6,10) (7,10) (6,5) (12,3) (3,9) (4,8) (7,12) (0,1) (7,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1356", - "image": "data/cycle/graph_visual/Base/medium/graph1356.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (15,5) (16,10) (16,17) (11,6) (2,0) (3,14) (4,9) (2,17) (3,5) (12,16) (6,5) (9,14) (13,15) (3,0) (0,14) (14,8) (14,7) (1,0) (1,17) (2,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1646", - "image": "data/cycle/graph_visual/Base/medium/graph1646.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (0,10) (6,1) (20,15) (20,9) (11,2) (6,7) (14,0) (3,8) (0,4) (0,1) (8,21) (18,22) (19,5) (11,17) (9,21) (0,2) (0,11) (22,0) (12,18) (3,0) (13,6) (2,21) (12,7) (5,0) (4,12) (8,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph833", - "image": "data/cycle/graph_visual/Base/medium/graph833.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (16,11) (8,4) (6,3) (11,2) (13,21) (0,2) (14,4) (23,14) (8,21) (19,7) (22,1) (20,1) (9,23) (1,15) (19,9) (1,12) (3,10) (10,17) (16,7) (20,17) (18,23) (17,16) (5,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph392", - "image": "data/cycle/graph_visual/Base/medium/graph392.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (8,1) (4,13) (16,9) (14,9) (3,15) (2,15) (0,3) (0,10) (10,11) (7,2) (9,8) (6,8) (5,15) (2,12) (9,3) (13,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph735", - "image": "data/cycle/graph_visual/Base/medium/graph735.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (0,19) (6,2) (21,15) (12,0) (3,10) (18,16) (7,9) (6,4) (1,16) (4,9) (10,1) (11,19) (15,11) (1,13) (22,17) (15,7) (0,17) (10,20) (16,22) (22,8) (3,14) (5,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph442", - "image": "data/cycle/graph_visual/Base/medium/graph442.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (4,7) (9,1) (4,10) (17,3) (8,4) (15,1) (15,0) (17,7) (5,3) (2,0) (12,7) (14,4) (12,6) (13,4) (3,11) (16,1) (4,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1654", - "image": "data/cycle/graph_visual/Base/medium/graph1654.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (2,12) (18,9) (2,0) (15,13) (0,4) (22,10) (3,20) (14,8) (1,9) (16,6) (21,6) (3,18) (3,13) (6,0) (8,1) (21,18) (16,19) (0,1) (11,15) (18,17) (10,19) (7,20) (9,5) (1,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph370", - "image": "data/cycle/graph_visual/Base/medium/graph370.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (14,3) (12,5) (7,4) (2,7) (5,13) (4,6) (9,0) (8,7) (5,10) (1,16) (1,8) (1,13) (11,2) (10,15) (3,11) (14,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1059", - "image": "data/cycle/graph_visual/Base/medium/graph1059.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (11,10) (8,7) (1,11) (0,3) (5,12) (10,5) (0,4) (9,0) (2,4) (7,2) (6,3) (2,0) (2,11) (9,1) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1385", - "image": "data/cycle/graph_visual/Base/medium/graph1385.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (14,9) (16,2) (13,15) (18,0) (9,17) (3,11) (18,4) (0,11) (1,12) (12,6) (5,1) (10,1) (15,2) (17,0) (11,1) (2,0) (11,7) (15,6) (8,13) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph244", - "image": "data/cycle/graph_visual/Base/medium/graph244.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (5,8) (1,9) (5,9) (11,13) (4,0) (12,13) (14,12) (1,2) (7,2) (1,0) (14,10) (10,3) (14,5) (6,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1320", - "image": "data/cycle/graph_visual/Base/medium/graph1320.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (11,4) (12,15) (8,0) (0,3) (12,1) (0,2) (8,10) (2,13) (8,17) (17,6) (16,11) (3,16) (4,0) (0,1) (13,1) (12,14) (10,9) (0,13) (5,2) (14,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph242", - "image": "data/cycle/graph_visual/Base/medium/graph242.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (12,6) (11,3) (2,1) (3,8) (1,7) (9,12) (10,0) (0,4) (5,7) (1,8) (14,11) (2,6) (2,0) (13,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1337", - "image": "data/cycle/graph_visual/Base/medium/graph1337.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (9,5) (4,13) (1,0) (2,9) (15,6) (13,1) (2,0) (12,10) (0,15) (12,1) (2,7) (5,6) (1,14) (1,2) (8,4) (11,4) (17,11) (3,14) (6,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1113", - "image": "data/cycle/graph_visual/Base/medium/graph1113.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (0,1) (13,3) (6,9) (5,1) (13,8) (1,12) (2,0) (2,13) (11,4) (2,4) (12,3) (0,13) (0,3) (5,10) (9,1) (7,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1411", - "image": "data/cycle/graph_visual/Base/medium/graph1411.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (14,5) (15,12) (1,9) (10,8) (5,18) (13,8) (0,4) (13,11) (3,0) (5,15) (5,1) (13,7) (1,0) (2,0) (9,16) (13,3) (6,1) (6,8) (14,17) (2,3) (4,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph380", - "image": "data/cycle/graph_visual/Base/medium/graph380.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (10,11) (2,8) (7,11) (9,6) (2,4) (12,13) (3,14) (14,7) (0,1) (2,11) (11,5) (3,1) (0,13) (16,9) (12,15) (2,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1627", - "image": "data/cycle/graph_visual/Base/medium/graph1627.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (8,21) (1,21) (16,10) (4,7) (10,4) (20,13) (21,2) (0,5) (1,0) (3,2) (11,20) (18,17) (22,6) (5,19) (13,6) (18,15) (10,15) (8,9) (14,18) (13,14) (13,0) (3,4) (3,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1185", - "image": "data/cycle/graph_visual/Base/medium/graph1185.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (14,3) (8,9) (13,1) (6,11) (2,8) (0,2) (10,4) (13,6) (0,1) (5,0) (14,8) (4,12) (3,0) (3,11) (10,7) (8,12) (7,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph84", - "image": "data/cycle/graph_visual/Base/medium/graph84.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (5,11) (11,0) (6,3) (3,9) (9,1) (7,8) (6,11) (7,2) (1,8) (11,4) (9,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1540", - "image": "data/cycle/graph_visual/Base/medium/graph1540.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (14,19) (6,13) (14,15) (5,10) (5,14) (12,9) (11,6) (1,16) (16,8) (3,2) (4,10) (1,0) (11,3) (19,0) (17,16) (7,3) (10,8) (18,8) (20,16) (5,9) (14,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1580", - "image": "data/cycle/graph_visual/Base/medium/graph1580.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (7,16) (4,18) (11,15) (3,15) (10,11) (2,11) (6,0) (5,13) (2,4) (12,19) (5,9) (0,3) (5,14) (8,14) (0,4) (7,17) (7,15) (4,1) (11,21) (15,13) (2,0) (3,6) (0,19) (9,20) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph707", - "image": "data/cycle/graph_visual/Base/medium/graph707.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (8,12) (21,19) (13,3) (1,9) (6,16) (18,3) (1,11) (13,14) (16,19) (4,0) (3,17) (9,18) (15,18) (9,5) (7,20) (18,21) (8,1) (6,20) (15,10) (12,2) (6,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1671", - "image": "data/cycle/graph_visual/Base/medium/graph1671.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (10,20) (21,22) (9,5) (13,12) (0,7) (14,22) (10,16) (16,8) (2,0) (2,13) (20,21) (18,8) (17,15) (12,7) (21,17) (5,22) (9,4) (4,0) (6,11) (3,19) (0,1) (3,0) (11,9) (5,0) (13,8) (1,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1677", - "image": "data/cycle/graph_visual/Base/medium/graph1677.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (19,5) (2,4) (5,6) (13,16) (6,12) (17,22) (14,0) (2,0) (17,1) (2,17) (16,15) (3,0) (16,10) (21,20) (14,8) (14,9) (20,15) (11,18) (4,9) (1,0) (7,14) (22,20) (5,3) (18,19) (14,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph258", - "image": "data/cycle/graph_visual/Base/medium/graph258.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (12,11) (0,2) (10,9) (7,1) (12,3) (2,10) (14,7) (9,7) (5,9) (0,4) (4,12) (1,8) (0,13) (13,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph581", - "image": "data/cycle/graph_visual/Base/medium/graph581.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (11,0) (12,7) (12,18) (12,10) (6,14) (2,11) (13,0) (4,8) (9,18) (6,1) (7,6) (0,3) (16,8) (15,0) (2,9) (11,8) (3,19) (0,5) (17,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph339", - "image": "data/cycle/graph_visual/Base/medium/graph339.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (7,4) (6,5) (15,9) (10,2) (0,4) (12,7) (10,7) (0,15) (8,1) (6,3) (6,11) (8,0) (3,9) (15,14) (8,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph236", - "image": "data/cycle/graph_visual/Base/medium/graph236.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (3,7) (5,6) (6,8) (2,7) (2,11) (10,11) (7,1) (0,2) (12,4) (12,13) (11,5) (12,8) (9,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1596", - "image": "data/cycle/graph_visual/Base/medium/graph1596.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (1,0) (14,3) (5,9) (0,15) (14,1) (6,17) (9,17) (5,19) (11,4) (4,8) (16,6) (15,20) (0,3) (9,11) (2,0) (13,1) (6,21) (6,18) (20,2) (7,2) (1,12) (1,2) (13,4) (10,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1577", - "image": "data/cycle/graph_visual/Base/medium/graph1577.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (1,16) (0,3) (2,0) (21,19) (3,17) (18,13) (0,4) (7,12) (2,13) (11,9) (6,11) (0,1) (8,16) (16,10) (9,5) (0,7) (12,21) (10,20) (8,15) (13,8) (14,21) (12,20) (9,4) (17,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph427", - "image": "data/cycle/graph_visual/Base/medium/graph427.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (12,5) (9,3) (1,8) (15,0) (6,2) (7,5) (2,9) (6,4) (10,8) (7,16) (8,2) (17,13) (17,15) (8,11) (11,12) (14,10) (7,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1469", - "image": "data/cycle/graph_visual/Base/medium/graph1469.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (17,19) (14,8) (10,16) (17,2) (1,0) (0,2) (2,4) (5,18) (3,5) (14,7) (15,16) (3,0) (9,4) (15,19) (0,14) (9,14) (14,3) (13,16) (12,6) (11,18) (17,1) (5,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph945", - "image": "data/cycle/graph_visual/Base/medium/graph945.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (0,2) (3,0) (5,0) (1,2) (2,3) (8,4) (9,7) (5,9) (0,4) (6,2) (10,2) (10,7) (3,8) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1262", - "image": "data/cycle/graph_visual/Base/medium/graph1262.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (0,15) (6,1) (7,3) (16,1) (0,1) (10,2) (8,6) (13,7) (0,2) (5,15) (2,11) (6,0) (12,16) (9,14) (10,8) (0,4) (13,9) (3,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph645", - "image": "data/cycle/graph_visual/Base/medium/graph645.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (11,12) (3,4) (2,5) (0,19) (9,13) (18,13) (13,11) (10,15) (6,13) (8,17) (14,9) (11,20) (9,5) (15,19) (0,17) (13,0) (17,1) (3,8) (7,0) (16,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph417", - "image": "data/cycle/graph_visual/Base/medium/graph417.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (2,7) (8,5) (15,10) (12,15) (16,7) (15,14) (10,2) (3,1) (1,16) (13,4) (1,5) (9,15) (6,14) (0,11) (13,8) (0,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph270", - "image": "data/cycle/graph_visual/Base/medium/graph270.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (1,2) (0,1) (11,8) (5,14) (2,13) (12,3) (1,12) (10,5) (4,9) (7,9) (13,11) (13,6) (2,4) (5,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph545", - "image": "data/cycle/graph_visual/Base/medium/graph545.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (2,18) (17,9) (10,12) (2,1) (15,0) (17,19) (15,6) (1,13) (5,6) (11,9) (1,14) (5,9) (13,4) (3,14) (11,4) (7,2) (12,1) (16,6) (8,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1798", - "image": "data/cycle/graph_visual/Base/medium/graph1798.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (2,24) (19,7) (1,6) (11,8) (21,0) (13,4) (5,2) (17,10) (0,3) (17,23) (12,13) (18,14) (22,16) (18,21) (11,17) (15,13) (17,14) (3,5) (0,1) (4,14) (2,0) (9,10) (13,20) (16,10) (14,19) (3,1) (2,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1313", - "image": "data/cycle/graph_visual/Base/medium/graph1313.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (0,1) (10,11) (14,9) (8,6) (2,16) (3,4) (1,6) (11,7) (12,7) (14,7) (5,10) (0,2) (7,6) (0,3) (14,13) (3,13) (15,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph247", - "image": "data/cycle/graph_visual/Base/medium/graph247.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (7,10) (6,12) (12,7) (11,1) (11,2) (6,14) (3,2) (1,0) (3,13) (4,2) (2,10) (9,11) (5,8) (8,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1077", - "image": "data/cycle/graph_visual/Base/medium/graph1077.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (5,2) (2,12) (1,0) (2,8) (4,7) (1,3) (0,3) (7,3) (0,2) (4,0) (0,9) (11,8) (2,6) (9,1) (5,10) (10,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1756", - "image": "data/cycle/graph_visual/Base/medium/graph1756.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (4,24) (20,15) (19,8) (13,5) (0,1) (8,1) (7,1) (18,6) (4,9) (18,11) (8,17) (15,13) (10,16) (24,2) (3,19) (17,22) (12,0) (16,4) (9,21) (11,15) (23,3) (16,6) (24,22) (12,9) (12,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1553", - "image": "data/cycle/graph_visual/Base/medium/graph1553.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (15,12) (11,8) (2,8) (12,13) (6,13) (20,16) (11,14) (12,3) (17,7) (5,7) (12,1) (12,7) (17,4) (1,19) (1,0) (19,18) (0,11) (17,10) (9,11) (5,16) (0,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1195", - "image": "data/cycle/graph_visual/Base/medium/graph1195.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (13,11) (7,13) (14,7) (8,9) (4,7) (14,10) (2,0) (3,0) (2,9) (8,10) (3,6) (6,12) (1,7) (4,0) (0,1) (12,10) (5,0) (11,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph907", - "image": "data/cycle/graph_visual/Base/medium/graph907.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (5,7) (9,2) (7,3) (5,9) (3,6) (4,1) (2,0) (5,1) (0,1) (3,8) (0,3) (10,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph765", - "image": "data/cycle/graph_visual/Base/medium/graph765.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (19,12) (3,6) (14,15) (13,10) (7,2) (9,2) (17,13) (1,22) (15,17) (6,4) (20,17) (2,11) (21,16) (16,12) (11,21) (5,9) (4,9) (12,18) (8,5) (0,2) (20,1) (10,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1448", - "image": "data/cycle/graph_visual/Base/medium/graph1448.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (10,0) (15,11) (17,2) (0,5) (0,1) (5,7) (2,18) (10,3) (17,11) (2,9) (0,4) (16,8) (13,14) (13,18) (8,7) (19,13) (4,1) (3,0) (2,0) (9,6) (5,12) (17,8) (16,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph490", - "image": "data/cycle/graph_visual/Base/medium/graph490.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (1,5) (9,4) (13,15) (10,12) (4,16) (14,11) (16,6) (8,15) (9,17) (6,15) (11,18) (9,12) (16,7) (0,12) (3,18) (3,4) (1,8) (2,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1659", - "image": "data/cycle/graph_visual/Base/medium/graph1659.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (22,3) (13,9) (12,18) (5,0) (19,16) (15,9) (11,19) (12,21) (19,6) (5,16) (11,12) (0,20) (4,18) (7,14) (10,15) (0,8) (10,17) (1,0) (0,3) (1,2) (13,20) (1,11) (3,12) (2,0) (16,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1276", - "image": "data/cycle/graph_visual/Base/medium/graph1276.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (0,2) (7,12) (3,4) (9,14) (13,14) (7,14) (6,8) (0,3) (13,3) (10,11) (7,11) (15,12) (1,6) (6,7) (10,5) (1,0) (16,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph18", - "image": "data/cycle/graph_visual/Base/medium/graph18.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (6,2) (8,7) (10,8) (5,10) (0,2) (9,3) (7,3) (4,7) (6,4) (6,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1309", - "image": "data/cycle/graph_visual/Base/medium/graph1309.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (16,7) (0,3) (9,13) (6,8) (14,9) (12,14) (8,7) (10,9) (2,11) (5,8) (16,1) (8,3) (3,12) (15,12) (2,14) (0,1) (4,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1377", - "image": "data/cycle/graph_visual/Base/medium/graph1377.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (7,15) (1,9) (0,4) (6,4) (12,13) (14,8) (16,2) (10,17) (4,3) (12,7) (9,4) (14,3) (0,2) (0,3) (10,11) (12,2) (6,13) (10,16) (0,1) (5,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph416", - "image": "data/cycle/graph_visual/Base/medium/graph416.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (4,13) (7,5) (2,8) (5,16) (1,12) (10,11) (16,15) (9,12) (8,11) (14,1) (7,13) (12,3) (12,7) (6,11) (12,0) (0,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph509", - "image": "data/cycle/graph_visual/Base/medium/graph509.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (11,17) (4,7) (7,18) (14,5) (12,10) (17,12) (0,6) (18,13) (15,7) (13,14) (9,7) (14,17) (18,16) (1,3) (18,8) (6,3) (2,10) (11,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph470", - "image": "data/cycle/graph_visual/Base/medium/graph470.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (2,12) (3,14) (9,4) (6,11) (5,17) (14,15) (5,7) (14,13) (5,16) (1,12) (8,6) (5,6) (2,4) (10,5) (0,9) (16,0) (0,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1014", - "image": "data/cycle/graph_visual/Base/medium/graph1014.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (2,0) (8,1) (3,9) (3,2) (0,1) (2,7) (8,6) (5,8) (3,0) (4,0) (8,3) (4,10) (8,11) (4,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph914", - "image": "data/cycle/graph_visual/Base/medium/graph914.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (0,6) (7,3) (4,6) (2,7) (0,3) (0,2) (7,5) (10,6) (4,8) (1,0) (0,4) (1,5) (7,0) (9,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1223", - "image": "data/cycle/graph_visual/Base/medium/graph1223.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (2,0) (11,3) (15,0) (0,1) (0,4) (0,3) (5,2) (1,2) (12,4) (7,13) (9,6) (10,7) (0,14) (11,12) (10,9) (4,8) (11,5) (7,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph675", - "image": "data/cycle/graph_visual/Base/medium/graph675.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (14,15) (12,1) (16,8) (20,0) (21,2) (10,1) (7,8) (9,3) (7,20) (7,1) (4,12) (21,13) (5,19) (11,4) (18,9) (5,4) (18,2) (6,9) (17,15) (14,10) (13,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1314", - "image": "data/cycle/graph_visual/Base/medium/graph1314.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (15,13) (16,2) (11,3) (3,10) (0,1) (10,9) (14,16) (6,8) (8,12) (8,0) (11,0) (15,2) (12,2) (5,3) (4,1) (10,7) (2,0) (6,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph174", - "image": "data/cycle/graph_visual/Base/medium/graph174.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (8,1) (3,11) (10,5) (8,6) (4,12) (6,11) (7,8) (0,7) (2,0) (8,10) (9,4) (3,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph9", - "image": "data/cycle/graph_visual/Base/medium/graph9.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (2,1) (9,7) (7,6) (0,5) (10,8) (8,3) (4,5) (8,4) (5,9) (1,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph692", - "image": "data/cycle/graph_visual/Base/medium/graph692.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (15,16) (20,0) (8,13) (4,2) (21,4) (5,1) (6,15) (13,2) (11,0) (12,9) (6,14) (11,18) (5,16) (13,3) (16,19) (0,7) (15,9) (20,10) (16,7) (5,17) (13,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1170", - "image": "data/cycle/graph_visual/Base/medium/graph1170.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (1,0) (1,11) (2,0) (12,13) (0,4) (4,9) (4,7) (3,10) (7,2) (0,3) (4,5) (8,5) (3,1) (10,0) (1,4) (11,6) (4,14) (8,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1408", - "image": "data/cycle/graph_visual/Base/medium/graph1408.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (1,16) (7,1) (2,0) (13,5) (9,18) (3,15) (2,14) (14,15) (10,18) (3,10) (4,6) (1,0) (8,11) (17,8) (6,11) (13,17) (11,0) (3,0) (12,0) (4,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1710", - "image": "data/cycle/graph_visual/Base/medium/graph1710.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (15,2) (2,20) (12,23) (16,21) (4,9) (19,22) (23,9) (19,1) (3,14) (20,9) (7,21) (7,1) (21,23) (6,17) (8,15) (5,8) (0,1) (11,2) (9,6) (2,18) (14,0) (21,10) (14,2) (12,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph712", - "image": "data/cycle/graph_visual/Base/medium/graph712.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (19,15) (8,6) (7,13) (13,15) (8,10) (3,13) (1,5) (6,20) (9,1) (14,4) (20,9) (19,5) (2,3) (18,21) (19,11) (13,12) (0,2) (8,16) (21,14) (17,1) (14,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1332", - "image": "data/cycle/graph_visual/Base/medium/graph1332.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (9,17) (11,0) (7,13) (6,12) (3,11) (1,8) (15,10) (3,0) (5,11) (0,16) (12,1) (14,2) (15,2) (4,1) (11,1) (6,15) (1,0) (0,4) (0,2) (9,13) (0,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph230", - "image": "data/cycle/graph_visual/Base/medium/graph230.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (9,5) (8,0) (6,0) (0,7) (11,13) (6,5) (13,10) (12,10) (13,3) (5,1) (4,7) (2,9) (4,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph77", - "image": "data/cycle/graph_visual/Base/medium/graph77.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (1,2) (9,3) (1,10) (11,5) (4,2) (5,6) (1,0) (6,2) (11,7) (9,5) (4,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1104", - "image": "data/cycle/graph_visual/Base/medium/graph1104.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (4,11) (0,1) (2,8) (1,12) (5,10) (6,12) (4,0) (0,3) (12,11) (7,2) (5,9) (7,1) (7,13) (11,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1087", - "image": "data/cycle/graph_visual/Base/medium/graph1087.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (9,3) (7,0) (10,1) (4,3) (10,5) (11,2) (6,1) (0,2) (13,11) (0,11) (11,10) (0,1) (2,3) (8,4) (1,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph921", - "image": "data/cycle/graph_visual/Base/medium/graph921.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (8,9) (6,7) (7,4) (2,0) (9,1) (0,3) (6,3) (0,1) (0,7) (0,4) (3,9) (4,10) (1,5) (2,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1471", - "image": "data/cycle/graph_visual/Base/medium/graph1471.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (0,14) (4,0) (2,0) (10,5) (0,1) (18,6) (4,17) (6,11) (0,18) (12,9) (9,10) (16,3) (12,3) (3,0) (14,13) (6,17) (16,2) (15,16) (2,8) (0,7) (11,19) (13,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1670", - "image": "data/cycle/graph_visual/Base/medium/graph1670.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (9,5) (0,4) (2,16) (11,6) (6,15) (0,2) (0,3) (19,1) (4,3) (18,16) (16,19) (20,8) (14,5) (3,14) (11,3) (0,22) (13,9) (14,17) (21,14) (3,12) (10,5) (7,10) (19,0) (10,8) (1,0) (16,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1045", - "image": "data/cycle/graph_visual/Base/medium/graph1045.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (2,11) (10,6) (4,7) (0,3) (7,12) (12,11) (0,2) (1,0) (12,3) (6,1) (7,10) (5,6) (8,4) (9,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1231", - "image": "data/cycle/graph_visual/Base/medium/graph1231.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (13,8) (8,10) (0,5) (1,0) (11,4) (5,9) (5,8) (2,0) (9,6) (9,2) (10,12) (14,13) (3,0) (15,12) (7,0) (1,13) (11,3) (0,4) (12,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph412", - "image": "data/cycle/graph_visual/Base/medium/graph412.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (4,9) (2,11) (15,0) (10,12) (16,3) (5,4) (8,2) (1,5) (3,13) (6,11) (7,3) (15,11) (3,12) (1,3) (14,5) (12,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1783", - "image": "data/cycle/graph_visual/Base/medium/graph1783.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (16,15) (20,16) (21,3) (14,4) (21,0) (19,5) (2,0) (11,18) (8,23) (24,4) (14,11) (17,1) (12,23) (16,3) (14,21) (9,12) (13,23) (2,19) (2,6) (0,1) (14,13) (10,20) (22,19) (19,9) (1,20) (7,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph431", - "image": "data/cycle/graph_visual/Base/medium/graph431.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (5,17) (17,16) (14,0) (1,17) (13,7) (11,5) (8,12) (11,14) (10,8) (13,17) (3,4) (15,9) (16,2) (1,3) (3,15) (6,7) (14,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph21", - "image": "data/cycle/graph_visual/Base/medium/graph21.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (1,5) (8,4) (6,5) (10,4) (7,2) (3,4) (6,0) (0,9) (6,3) (7,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1168", - "image": "data/cycle/graph_visual/Base/medium/graph1168.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (8,10) (1,0) (11,4) (14,0) (7,14) (11,6) (13,10) (3,5) (13,0) (11,9) (3,1) (6,14) (1,4) (4,12) (13,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1202", - "image": "data/cycle/graph_visual/Base/medium/graph1202.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (14,9) (6,5) (14,7) (1,8) (2,7) (9,11) (2,15) (13,15) (3,0) (12,4) (7,10) (3,14) (0,2) (9,6) (0,1) (12,9) (11,0) (13,1) (4,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1197", - "image": "data/cycle/graph_visual/Base/medium/graph1197.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (10,8) (7,8) (6,5) (4,14) (11,9) (4,1) (14,2) (0,6) (2,12) (0,1) (11,5) (7,13) (14,0) (0,3) (2,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1132", - "image": "data/cycle/graph_visual/Base/medium/graph1132.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (8,12) (9,13) (0,2) (0,8) (11,10) (0,3) (1,0) (9,1) (2,10) (1,4) (10,5) (10,13) (0,10) (7,11) (9,3) (4,0) (13,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1311", - "image": "data/cycle/graph_visual/Base/medium/graph1311.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (12,5) (9,6) (9,2) (0,3) (8,11) (16,13) (0,10) (3,10) (13,2) (2,0) (7,8) (15,11) (14,13) (5,7) (0,16) (0,1) (8,2) (4,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph354", - "image": "data/cycle/graph_visual/Base/medium/graph354.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (2,11) (10,12) (14,12) (15,10) (9,4) (7,5) (3,4) (5,9) (1,6) (12,13) (8,2) (0,2) (12,11) (9,15) (6,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph385", - "image": "data/cycle/graph_visual/Base/medium/graph385.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (15,13) (1,5) (9,10) (11,5) (2,15) (5,8) (12,5) (8,14) (4,9) (6,9) (16,7) (13,1) (16,4) (3,15) (0,4) (3,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph722", - "image": "data/cycle/graph_visual/Base/medium/graph722.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (8,2) (19,1) (17,0) (22,6) (22,18) (0,11) (16,18) (1,12) (8,13) (17,12) (11,10) (9,11) (4,17) (13,17) (20,7) (7,5) (16,5) (7,12) (11,15) (21,19) (14,12) (3,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1409", - "image": "data/cycle/graph_visual/Base/medium/graph1409.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (5,17) (18,11) (14,3) (1,8) (1,5) (11,15) (7,15) (0,1) (6,2) (4,16) (13,0) (14,12) (1,11) (10,11) (6,16) (16,9) (14,5) (4,8) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph971", - "image": "data/cycle/graph_visual/Base/medium/graph971.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (7,8) (0,1) (1,2) (0,3) (6,2) (4,3) (11,0) (9,8) (2,0) (6,5) (10,1) (3,6) (8,11) (0,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1508", - "image": "data/cycle/graph_visual/Base/medium/graph1508.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (14,4) (8,0) (13,6) (11,18) (15,16) (3,17) (0,10) (11,10) (8,9) (12,1) (0,3) (7,2) (17,19) (3,20) (13,17) (15,6) (8,15) (18,5) (18,4) (1,0) (15,2) (0,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1243", - "image": "data/cycle/graph_visual/Base/medium/graph1243.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (11,13) (5,3) (5,10) (14,10) (15,1) (12,2) (8,0) (0,2) (6,4) (0,15) (1,0) (3,0) (6,9) (7,10) (4,0) (14,12) (15,10) (11,2) (9,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph193", - "image": "data/cycle/graph_visual/Base/medium/graph193.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (3,7) (10,12) (13,12) (5,3) (1,8) (3,9) (4,9) (11,13) (7,12) (13,6) (11,2) (1,5) (0,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph325", - "image": "data/cycle/graph_visual/Base/medium/graph325.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (11,3) (3,6) (8,11) (2,0) (6,13) (6,1) (10,4) (8,2) (8,12) (5,4) (12,15) (9,0) (0,4) (14,1) (15,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph404", - "image": "data/cycle/graph_visual/Base/medium/graph404.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (6,14) (0,6) (16,12) (0,2) (6,9) (4,11) (10,8) (7,0) (4,2) (6,8) (14,13) (1,15) (13,15) (5,3) (3,12) (12,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1649", - "image": "data/cycle/graph_visual/Base/medium/graph1649.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (13,22) (15,22) (0,16) (4,18) (6,2) (5,14) (0,11) (16,12) (1,0) (19,4) (20,9) (12,1) (6,10) (19,5) (17,14) (3,22) (21,4) (20,7) (7,3) (10,21) (10,0) (0,2) (8,5) (14,13) (0,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph116", - "image": "data/cycle/graph_visual/Base/medium/graph116.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (8,0) (0,7) (8,4) (8,5) (10,3) (10,2) (6,3) (1,8) (4,11) (6,5) (1,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph807", - "image": "data/cycle/graph_visual/Base/medium/graph807.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (17,20) (8,0) (2,22) (23,9) (17,4) (6,18) (16,3) (12,20) (12,3) (22,6) (2,10) (13,14) (23,7) (9,19) (18,0) (11,16) (23,15) (23,6) (16,21) (10,5) (3,13) (0,1) (14,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph175", - "image": "data/cycle/graph_visual/Base/medium/graph175.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (1,0) (6,11) (9,7) (7,6) (9,12) (6,3) (8,6) (5,7) (10,4) (12,1) (1,2) (9,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph126", - "image": "data/cycle/graph_visual/Base/medium/graph126.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (12,5) (11,0) (2,8) (12,3) (10,11) (1,7) (5,4) (3,7) (5,8) (4,9) (0,12) (6,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph553", - "image": "data/cycle/graph_visual/Base/medium/graph553.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (12,16) (6,15) (0,12) (2,4) (1,12) (7,5) (17,16) (17,2) (15,18) (7,4) (2,19) (7,11) (8,14) (13,19) (12,8) (5,10) (19,9) (3,6) (13,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph881", - "image": "data/cycle/graph_visual/Base/medium/graph881.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (24,6) (11,1) (17,7) (23,20) (1,21) (14,7) (3,13) (4,7) (4,9) (16,24) (21,23) (12,8) (0,2) (12,4) (22,15) (19,4) (10,21) (18,4) (4,1) (3,17) (15,0) (5,3) (24,17) (22,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph567", - "image": "data/cycle/graph_visual/Base/medium/graph567.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (5,14) (12,19) (10,14) (8,7) (14,13) (8,14) (5,2) (0,2) (6,18) (15,11) (1,18) (17,11) (14,9) (6,7) (5,3) (4,12) (6,15) (12,6) (16,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph443", - "image": "data/cycle/graph_visual/Base/medium/graph443.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (9,10) (10,3) (8,17) (5,16) (10,0) (11,7) (6,17) (16,1) (14,4) (15,12) (7,17) (12,13) (0,15) (9,11) (2,14) (0,14) (4,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1124", - "image": "data/cycle/graph_visual/Base/medium/graph1124.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (3,10) (7,6) (0,3) (4,13) (4,5) (12,0) (0,1) (6,5) (1,9) (11,9) (3,7) (0,4) (10,11) (3,2) (3,8) (0,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph561", - "image": "data/cycle/graph_visual/Base/medium/graph561.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (5,7) (8,0) (4,13) (16,6) (10,5) (0,9) (5,4) (13,17) (9,3) (1,8) (0,18) (2,15) (7,11) (12,4) (14,7) (8,19) (9,6) (17,2) (4,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph279", - "image": "data/cycle/graph_visual/Base/medium/graph279.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (3,6) (14,5) (11,12) (2,4) (7,11) (13,9) (1,4) (13,14) (2,3) (4,8) (5,1) (10,1) (2,11) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1764", - "image": "data/cycle/graph_visual/Base/medium/graph1764.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (23,12) (9,5) (24,21) (20,10) (2,13) (10,16) (13,23) (16,1) (16,8) (24,5) (8,19) (20,21) (8,13) (17,18) (4,9) (0,1) (7,0) (3,0) (22,15) (3,22) (11,6) (17,21) (7,12) (22,14) (9,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph379", - "image": "data/cycle/graph_visual/Base/medium/graph379.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (1,16) (3,1) (8,11) (15,7) (0,14) (1,0) (9,13) (8,2) (5,13) (11,5) (11,14) (13,15) (12,4) (5,4) (6,16) (10,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph187", - "image": "data/cycle/graph_visual/Base/medium/graph187.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (12,13) (3,11) (6,11) (1,5) (11,12) (8,2) (2,5) (12,4) (8,10) (8,3) (9,4) (8,7) (0,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph920", - "image": "data/cycle/graph_visual/Base/medium/graph920.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (10,1) (5,6) (7,2) (8,6) (0,2) (1,8) (0,3) (7,3) (9,5) (2,6) (7,4) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph83", - "image": "data/cycle/graph_visual/Base/medium/graph83.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (4,5) (11,2) (7,6) (9,8) (7,3) (7,0) (2,0) (1,8) (10,2) (6,8) (8,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1699", - "image": "data/cycle/graph_visual/Base/medium/graph1699.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (21,4) (14,12) (6,13) (7,0) (1,0) (13,15) (17,8) (3,15) (10,9) (8,7) (10,21) (16,22) (7,11) (7,19) (22,23) (11,1) (4,23) (9,0) (2,15) (9,5) (13,21) (20,18) (0,14) (20,9) (0,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1441", - "image": "data/cycle/graph_visual/Base/medium/graph1441.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (7,0) (0,18) (1,0) (15,8) (0,13) (4,3) (11,9) (3,8) (5,2) (13,19) (11,12) (8,17) (17,1) (14,19) (17,13) (16,0) (9,13) (13,6) (15,10) (9,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1563", - "image": "data/cycle/graph_visual/Base/medium/graph1563.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (5,12) (4,9) (1,15) (0,2) (2,13) (14,8) (7,15) (0,20) (10,8) (0,1) (20,2) (0,3) (2,6) (17,10) (11,12) (18,21) (20,18) (6,9) (4,0) (7,5) (16,17) (15,2) (3,8) (8,11) (7,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1608", - "image": "data/cycle/graph_visual/Base/medium/graph1608.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (17,2) (3,11) (0,2) (17,9) (19,8) (14,16) (13,7) (6,20) (21,18) (2,10) (4,0) (18,8) (9,15) (12,20) (10,20) (0,18) (16,13) (0,1) (15,5) (7,3) (19,11) (1,17) (0,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph524", - "image": "data/cycle/graph_visual/Base/medium/graph524.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (4,15) (3,16) (1,16) (0,1) (8,18) (8,3) (2,3) (11,16) (6,7) (12,6) (10,13) (8,10) (16,5) (4,8) (11,12) (9,14) (18,9) (13,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph233", - "image": "data/cycle/graph_visual/Base/medium/graph233.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (7,0) (12,0) (9,3) (5,8) (11,0) (12,10) (3,0) (2,13) (1,3) (6,11) (2,8) (10,2) (0,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1757", - "image": "data/cycle/graph_visual/Base/medium/graph1757.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (0,5) (1,9) (2,20) (12,9) (14,19) (21,11) (22,5) (3,23) (17,3) (11,23) (24,23) (8,17) (4,0) (22,2) (9,8) (1,0) (2,0) (15,5) (6,13) (14,16) (23,13) (10,7) (18,15) (7,14) (13,5) (16,4) (22,4) (3,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph329", - "image": "data/cycle/graph_visual/Base/medium/graph329.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (2,13) (0,10) (9,3) (15,2) (3,11) (13,12) (4,12) (2,1) (8,2) (5,4) (6,1) (13,14) (1,7) (11,6) (10,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1567", - "image": "data/cycle/graph_visual/Base/medium/graph1567.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (3,18) (0,4) (9,18) (16,6) (5,9) (21,19) (6,0) (17,3) (16,19) (20,7) (11,1) (1,9) (15,18) (14,13) (2,12) (20,6) (3,13) (0,2) (8,1) (1,0) (8,12) (10,15) (18,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph753", - "image": "data/cycle/graph_visual/Base/medium/graph753.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (8,1) (12,14) (11,2) (4,6) (4,7) (9,0) (18,11) (7,2) (5,19) (20,13) (22,21) (13,22) (10,19) (16,3) (19,0) (22,15) (8,7) (1,10) (14,5) (17,21) (3,20) (5,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph301", - "image": "data/cycle/graph_visual/Base/medium/graph301.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (2,1) (4,0) (10,7) (7,14) (14,0) (4,8) (0,15) (9,6) (11,12) (10,9) (11,3) (2,5) (5,11) (4,12) (13,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph986", - "image": "data/cycle/graph_visual/Base/medium/graph986.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (11,7) (2,11) (1,6) (10,8) (3,4) (4,5) (8,9) (10,11) (2,0) (1,0) (5,6) (2,4) (8,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1101", - "image": "data/cycle/graph_visual/Base/medium/graph1101.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (4,2) (11,1) (13,10) (12,5) (7,12) (5,13) (12,6) (2,8) (1,13) (0,3) (11,0) (10,4) (1,0) (2,0) (3,10) (9,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1434", - "image": "data/cycle/graph_visual/Base/medium/graph1434.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (5,0) (10,16) (6,11) (0,4) (15,2) (12,13) (0,2) (0,3) (18,15) (14,7) (13,0) (9,8) (1,3) (7,11) (2,11) (0,1) (12,17) (14,3) (17,4) (11,16) (5,2) (2,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph241", - "image": "data/cycle/graph_visual/Base/medium/graph241.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (2,14) (9,5) (9,3) (11,13) (10,4) (1,8) (14,12) (4,2) (7,13) (8,6) (1,12) (5,1) (0,13) (13,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1775", - "image": "data/cycle/graph_visual/Base/medium/graph1775.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (23,10) (20,22) (15,7) (0,14) (11,23) (7,21) (20,13) (14,24) (7,12) (1,20) (0,16) (5,1) (17,3) (17,12) (8,11) (18,24) (15,11) (16,19) (18,3) (2,0) (0,1) (6,23) (3,5) (8,4) (9,22) (19,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph894", - "image": "data/cycle/graph_visual/Base/medium/graph894.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (22,0) (10,13) (4,24) (16,20) (17,6) (20,12) (5,16) (15,16) (3,13) (13,18) (8,22) (4,2) (18,11) (5,1) (0,21) (19,5) (7,23) (15,9) (16,7) (0,11) (2,13) (9,14) (7,24) (6,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph596", - "image": "data/cycle/graph_visual/Base/medium/graph596.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (1,3) (13,16) (17,1) (11,8) (6,16) (2,8) (18,0) (10,1) (15,7) (1,0) (13,5) (9,13) (19,14) (11,14) (14,12) (4,5) (4,15) (11,5) (12,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph327", - "image": "data/cycle/graph_visual/Base/medium/graph327.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (9,2) (3,10) (14,11) (2,13) (7,5) (13,12) (8,2) (1,0) (9,6) (7,8) (13,15) (1,4) (10,0) (8,11) (5,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph147", - "image": "data/cycle/graph_visual/Base/medium/graph147.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (5,6) (2,12) (7,9) (1,4) (3,11) (12,8) (4,0) (1,12) (10,2) (0,9) (5,8) (3,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph316", - "image": "data/cycle/graph_visual/Base/medium/graph316.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (6,1) (14,6) (0,6) (2,6) (5,1) (9,13) (8,12) (10,11) (8,14) (9,3) (7,12) (13,14) (3,15) (6,4) (11,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph346", - "image": "data/cycle/graph_visual/Base/medium/graph346.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (7,9) (4,5) (12,3) (1,14) (13,0) (15,9) (4,14) (7,11) (6,15) (10,2) (9,10) (12,5) (11,14) (10,0) (0,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph35", - "image": "data/cycle/graph_visual/Base/medium/graph35.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (0,3) (1,3) (3,2) (7,2) (9,10) (6,0) (4,0) (8,0) (8,5) (0,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1773", - "image": "data/cycle/graph_visual/Base/medium/graph1773.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (10,9) (3,8) (0,7) (0,19) (24,4) (7,15) (23,4) (0,14) (2,20) (1,16) (11,12) (11,8) (13,2) (16,4) (11,5) (9,13) (1,0) (0,24) (6,18) (18,21) (3,10) (17,12) (19,11) (16,18) (3,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph351", - "image": "data/cycle/graph_visual/Base/medium/graph351.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (7,0) (15,9) (0,9) (8,13) (7,8) (6,7) (4,9) (3,15) (12,13) (7,14) (2,15) (11,1) (13,5) (10,14) (0,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph114", - "image": "data/cycle/graph_visual/Base/medium/graph114.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (3,5) (5,9) (8,7) (9,0) (3,1) (11,0) (8,0) (4,0) (10,11) (6,2) (6,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph827", - "image": "data/cycle/graph_visual/Base/medium/graph827.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (8,6) (17,1) (2,20) (23,20) (4,10) (0,12) (14,2) (18,23) (19,0) (4,13) (9,17) (16,21) (1,18) (15,8) (11,15) (16,5) (17,3) (6,20) (19,6) (23,7) (16,19) (22,20) (0,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1772", - "image": "data/cycle/graph_visual/Base/medium/graph1772.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (19,1) (21,19) (18,6) (11,12) (3,0) (18,5) (3,12) (7,23) (4,13) (5,4) (11,8) (15,3) (10,2) (18,1) (20,3) (19,11) (12,14) (17,22) (23,21) (20,24) (3,9) (3,17) (11,2) (15,0) (1,0) (0,2) (16,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1183", - "image": "data/cycle/graph_visual/Base/medium/graph1183.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (4,8) (9,12) (9,2) (3,8) (12,10) (5,8) (14,11) (2,0) (4,12) (9,7) (0,6) (1,0) (6,12) (10,13) (14,12) (1,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1269", - "image": "data/cycle/graph_visual/Base/medium/graph1269.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (12,13) (11,7) (2,4) (9,16) (5,11) (3,1) (3,0) (8,2) (16,2) (9,6) (3,14) (2,0) (12,15) (10,11) (0,4) (0,1) (14,7) (13,0) (2,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1128", - "image": "data/cycle/graph_visual/Base/medium/graph1128.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (3,13) (10,13) (0,1) (5,6) (6,2) (0,4) (1,2) (8,9) (3,6) (4,12) (1,11) (7,8) (3,0) (11,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph151", - "image": "data/cycle/graph_visual/Base/medium/graph151.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (0,10) (4,2) (8,2) (10,9) (7,0) (11,4) (7,6) (1,10) (3,5) (9,12) (11,0) (1,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1717", - "image": "data/cycle/graph_visual/Base/medium/graph1717.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (14,13) (7,0) (12,18) (17,0) (6,2) (23,22) (1,13) (21,15) (23,7) (3,9) (5,3) (19,21) (20,4) (10,23) (9,21) (8,11) (1,20) (16,4) (12,17) (0,1) (20,6) (15,12) (6,22) (23,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1752", - "image": "data/cycle/graph_visual/Base/medium/graph1752.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (8,24) (24,12) (21,14) (2,21) (12,21) (20,6) (13,23) (16,10) (0,3) (18,2) (1,19) (20,9) (24,5) (14,19) (17,23) (8,3) (1,0) (4,22) (8,15) (23,3) (9,14) (9,16) (22,12) (8,7) (7,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph983", - "image": "data/cycle/graph_visual/Base/medium/graph983.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (10,0) (4,9) (3,8) (1,0) (5,7) (1,2) (0,2) (2,8) (1,4) (11,5) (7,10) (3,0) (0,6) (4,0) (6,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph492", - "image": "data/cycle/graph_visual/Base/medium/graph492.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (8,11) (3,15) (15,14) (13,17) (14,2) (10,3) (0,12) (17,8) (10,18) (7,1) (0,11) (18,9) (1,16) (4,6) (13,5) (6,11) (0,1) (0,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph679", - "image": "data/cycle/graph_visual/Base/medium/graph679.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (2,0) (6,3) (17,10) (9,19) (2,11) (8,18) (12,1) (14,4) (4,8) (21,9) (1,14) (16,7) (3,10) (17,16) (15,1) (20,17) (11,16) (7,19) (1,20) (5,13) (13,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1647", - "image": "data/cycle/graph_visual/Base/medium/graph1647.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (0,1) (21,19) (8,7) (17,20) (3,11) (15,0) (3,21) (17,2) (22,9) (10,11) (0,2) (7,10) (10,13) (1,8) (11,4) (17,15) (16,10) (2,14) (7,22) (5,11) (20,6) (15,12) (4,2) (18,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph637", - "image": "data/cycle/graph_visual/Base/medium/graph637.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (1,14) (11,17) (18,19) (4,9) (2,17) (8,20) (10,5) (0,16) (8,15) (16,20) (18,3) (6,4) (11,3) (16,1) (9,13) (8,12) (10,7) (10,4) (0,11) (18,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph455", - "image": "data/cycle/graph_visual/Base/medium/graph455.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (17,6) (8,0) (5,2) (13,2) (3,16) (9,10) (11,4) (1,12) (8,17) (15,12) (10,8) (3,0) (14,7) (0,13) (16,11) (1,13) (12,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph885", - "image": "data/cycle/graph_visual/Base/medium/graph885.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (19,2) (15,10) (23,14) (22,12) (23,5) (22,9) (16,23) (0,1) (4,8) (4,21) (16,13) (17,14) (16,7) (5,19) (5,1) (11,23) (24,1) (18,0) (11,20) (15,11) (14,6) (1,22) (23,8) (3,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1514", - "image": "data/cycle/graph_visual/Base/medium/graph1514.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (7,11) (16,5) (18,4) (15,14) (16,12) (3,6) (5,1) (16,9) (1,8) (4,8) (2,19) (0,14) (20,7) (17,11) (0,1) (19,5) (6,14) (10,15) (0,3) (11,13) (2,0) (1,11) (4,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1477", - "image": "data/cycle/graph_visual/Base/medium/graph1477.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (13,17) (0,16) (0,1) (19,10) (14,3) (4,14) (18,15) (11,16) (19,8) (4,5) (14,13) (11,6) (9,1) (7,3) (0,12) (18,17) (2,1) (13,19) (11,19) (9,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1160", - "image": "data/cycle/graph_visual/Base/medium/graph1160.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (0,1) (5,3) (10,11) (1,8) (5,11) (13,6) (7,12) (9,4) (4,2) (0,2) (0,9) (6,4) (8,2) (2,12) (5,13) (14,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1535", - "image": "data/cycle/graph_visual/Base/medium/graph1535.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (0,16) (16,9) (1,13) (19,12) (5,7) (2,0) (0,6) (8,12) (5,15) (4,1) (14,10) (3,10) (14,11) (18,8) (0,1) (2,6) (11,20) (4,11) (7,3) (11,8) (17,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1470", - "image": "data/cycle/graph_visual/Base/medium/graph1470.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (8,5) (5,4) (17,2) (19,3) (19,4) (7,4) (15,4) (6,19) (4,1) (6,13) (0,1) (17,6) (14,6) (14,10) (11,13) (5,12) (3,0) (18,6) (9,7) (16,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1694", - "image": "data/cycle/graph_visual/Base/medium/graph1694.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (2,15) (16,15) (8,0) (12,2) (23,22) (4,1) (21,3) (10,13) (6,17) (16,19) (6,5) (9,8) (12,8) (3,7) (11,3) (18,17) (22,19) (11,0) (23,4) (1,0) (10,22) (10,20) (20,14) (17,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1485", - "image": "data/cycle/graph_visual/Base/medium/graph1485.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (11,12) (8,15) (10,2) (1,16) (13,3) (14,8) (15,18) (14,6) (8,2) (19,11) (18,4) (14,0) (16,15) (15,9) (19,8) (11,17) (1,7) (3,10) (13,5) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph693", - "image": "data/cycle/graph_visual/Base/medium/graph693.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (12,0) (5,2) (4,6) (7,9) (11,19) (16,15) (19,0) (10,3) (15,11) (3,14) (2,6) (1,16) (15,7) (10,1) (16,18) (21,4) (1,13) (9,8) (10,20) (17,0) (17,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph508", - "image": "data/cycle/graph_visual/Base/medium/graph508.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (15,10) (7,16) (4,0) (3,18) (11,12) (0,5) (11,1) (10,8) (6,7) (12,13) (18,12) (11,16) (9,13) (5,16) (0,15) (12,17) (1,2) (14,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph94", - "image": "data/cycle/graph_visual/Base/medium/graph94.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (9,7) (6,7) (9,11) (1,6) (5,6) (1,2) (4,9) (4,8) (0,1) (7,3) (6,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1570", - "image": "data/cycle/graph_visual/Base/medium/graph1570.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (2,17) (15,10) (2,4) (0,2) (11,4) (11,3) (8,7) (3,0) (15,9) (2,13) (20,3) (0,1) (18,21) (7,21) (14,17) (5,11) (8,1) (11,10) (0,15) (20,6) (10,7) (12,10) (19,17) (16,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1003", - "image": "data/cycle/graph_visual/Base/medium/graph1003.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (4,8) (2,11) (11,0) (1,0) (0,2) (0,7) (3,9) (11,1) (3,2) (0,3) (3,4) (10,5) (4,0) (6,1) (1,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1068", - "image": "data/cycle/graph_visual/Base/medium/graph1068.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (8,5) (8,10) (0,9) (7,2) (8,3) (11,4) (0,2) (7,6) (9,11) (1,3) (1,0) (7,12) (5,11) (11,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph691", - "image": "data/cycle/graph_visual/Base/medium/graph691.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (11,12) (17,3) (5,15) (17,18) (19,20) (12,13) (8,3) (5,4) (9,2) (14,3) (16,1) (19,11) (15,0) (21,3) (2,11) (21,12) (6,18) (10,4) (5,18) (1,19) (11,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1461", - "image": "data/cycle/graph_visual/Base/medium/graph1461.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (5,11) (13,7) (4,0) (11,16) (17,19) (13,15) (3,0) (8,15) (5,17) (2,0) (10,8) (12,7) (10,14) (1,17) (14,0) (1,0) (6,19) (14,17) (1,3) (2,16) (18,3) (4,3) (18,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph540", - "image": "data/cycle/graph_visual/Base/medium/graph540.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (9,18) (14,19) (10,3) (6,14) (3,2) (18,14) (11,8) (15,7) (10,7) (12,11) (0,6) (19,16) (19,1) (7,5) (17,13) (18,17) (4,6) (18,7) (12,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1774", - "image": "data/cycle/graph_visual/Base/medium/graph1774.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (5,11) (0,14) (1,0) (0,21) (6,5) (0,2) (18,7) (2,22) (12,3) (1,22) (20,23) (15,2) (6,12) (24,19) (10,6) (22,14) (23,14) (21,5) (13,21) (4,22) (24,16) (24,20) (9,23) (5,8) (9,18) (17,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph127", - "image": "data/cycle/graph_visual/Base/medium/graph127.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (2,8) (7,10) (7,3) (4,8) (0,2) (7,4) (9,12) (9,5) (6,3) (6,11) (7,1) (5,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1547", - "image": "data/cycle/graph_visual/Base/medium/graph1547.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (6,9) (0,3) (0,4) (17,8) (16,0) (19,8) (11,17) (0,10) (12,20) (20,18) (7,5) (1,4) (2,18) (10,3) (2,17) (8,7) (0,2) (15,20) (16,13) (2,9) (0,1) (11,13) (14,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1207", - "image": "data/cycle/graph_visual/Base/medium/graph1207.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (4,14) (3,12) (11,13) (15,11) (2,0) (9,14) (5,2) (5,14) (5,1) (1,0) (15,6) (8,12) (8,7) (6,14) (10,14) (6,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph967", - "image": "data/cycle/graph_visual/Base/medium/graph967.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (2,0) (3,0) (3,6) (2,8) (0,9) (10,7) (10,8) (1,2) (7,4) (4,3) (8,9) (5,10) (11,2) (0,4) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph709", - "image": "data/cycle/graph_visual/Base/medium/graph709.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (16,19) (12,15) (16,12) (11,15) (20,17) (9,21) (0,2) (13,10) (2,6) (7,5) (10,12) (4,3) (9,5) (8,2) (12,18) (9,4) (2,11) (1,6) (17,13) (21,20) (14,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1042", - "image": "data/cycle/graph_visual/Base/medium/graph1042.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (12,4) (4,1) (4,0) (11,12) (11,8) (1,0) (10,8) (3,0) (3,8) (9,5) (2,11) (3,6) (0,2) (1,7) (5,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph963", - "image": "data/cycle/graph_visual/Base/medium/graph963.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (2,6) (5,0) (4,0) (11,7) (3,2) (5,10) (4,10) (8,2) (2,0) (10,7) (1,0) (6,7) (0,3) (1,9) (11,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1052", - "image": "data/cycle/graph_visual/Base/medium/graph1052.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (5,10) (7,3) (0,2) (0,8) (10,12) (3,0) (0,1) (1,11) (3,6) (9,6) (3,4) (9,8) (12,11) (12,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph559", - "image": "data/cycle/graph_visual/Base/medium/graph559.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (18,12) (2,11) (3,1) (7,14) (19,10) (13,12) (2,5) (2,9) (16,11) (15,9) (1,0) (6,11) (17,16) (14,3) (0,13) (2,19) (17,4) (19,8) (7,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph425", - "image": "data/cycle/graph_visual/Base/medium/graph425.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (2,14) (8,0) (9,4) (12,15) (17,14) (6,0) (3,2) (10,16) (9,5) (5,10) (13,12) (7,1) (7,4) (15,9) (0,11) (5,17) (0,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1016", - "image": "data/cycle/graph_visual/Base/medium/graph1016.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (3,0) (0,2) (8,11) (9,2) (0,10) (2,4) (5,6) (2,10) (7,1) (0,5) (8,5) (1,0) (9,3) (4,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1112", - "image": "data/cycle/graph_visual/Base/medium/graph1112.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (8,3) (0,11) (13,7) (5,9) (12,5) (2,8) (12,3) (1,0) (7,1) (4,5) (7,0) (11,12) (0,3) (0,2) (2,6) (4,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1255", - "image": "data/cycle/graph_visual/Base/medium/graph1255.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (7,1) (2,14) (9,12) (0,2) (4,2) (4,13) (5,7) (0,12) (15,10) (7,11) (0,1) (1,9) (0,3) (9,6) (3,12) (15,11) (3,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1061", - "image": "data/cycle/graph_visual/Base/medium/graph1061.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (3,6) (0,1) (0,2) (12,2) (8,10) (3,4) (7,0) (10,12) (4,11) (1,6) (5,0) (9,7) (0,12) (4,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1033", - "image": "data/cycle/graph_visual/Base/medium/graph1033.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (10,0) (1,5) (7,2) (3,4) (8,6) (7,9) (4,11) (0,1) (10,1) (0,3) (9,6) (8,10) (11,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph547", - "image": "data/cycle/graph_visual/Base/medium/graph547.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (0,17) (4,1) (19,6) (5,16) (1,10) (12,7) (11,8) (9,6) (16,4) (18,14) (2,14) (14,8) (19,14) (11,15) (3,18) (4,13) (7,9) (1,6) (16,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1475", - "image": "data/cycle/graph_visual/Base/medium/graph1475.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (11,15) (14,4) (1,15) (0,2) (9,12) (18,4) (16,7) (0,3) (15,19) (4,6) (19,14) (8,14) (0,1) (13,8) (7,17) (5,11) (19,0) (2,8) (0,10) (16,3) (11,12) (0,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1334", - "image": "data/cycle/graph_visual/Base/medium/graph1334.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (4,15) (1,0) (15,2) (8,5) (1,7) (3,0) (14,6) (11,10) (13,17) (6,13) (0,10) (0,5) (15,8) (0,4) (8,0) (11,12) (4,9) (17,15) (0,2) (16,17) (2,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph795", - "image": "data/cycle/graph_visual/Base/medium/graph795.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (8,20) (13,8) (10,5) (18,22) (13,9) (6,4) (23,1) (16,0) (22,21) (9,4) (11,3) (20,11) (16,17) (16,23) (17,2) (18,3) (10,12) (8,19) (15,1) (7,23) (18,14) (10,4) (0,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1657", - "image": "data/cycle/graph_visual/Base/medium/graph1657.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (11,14) (0,1) (2,5) (11,13) (13,0) (3,8) (9,13) (11,15) (19,8) (17,1) (3,0) (21,10) (20,13) (12,15) (17,0) (13,6) (5,9) (7,0) (3,4) (0,2) (9,16) (21,0) (22,14) (8,17) (19,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1728", - "image": "data/cycle/graph_visual/Base/medium/graph1728.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (18,16) (1,19) (3,12) (7,12) (17,12) (12,14) (15,11) (16,5) (1,0) (11,0) (6,22) (17,13) (18,0) (2,8) (12,1) (11,9) (10,11) (7,5) (2,0) (21,7) (22,19) (17,4) (0,3) (8,13) (17,20) (0,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph254", - "image": "data/cycle/graph_visual/Base/medium/graph254.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (11,7) (9,2) (2,0) (3,11) (3,10) (14,5) (2,1) (6,5) (12,3) (1,5) (7,2) (4,7) (8,9) (11,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph541", - "image": "data/cycle/graph_visual/Base/medium/graph541.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (12,11) (13,16) (3,2) (7,10) (7,19) (1,8) (18,17) (2,14) (5,15) (4,14) (12,5) (3,16) (6,10) (1,6) (0,4) (9,14) (8,14) (11,13) (17,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph781", - "image": "data/cycle/graph_visual/Base/medium/graph781.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (3,5) (21,20) (15,0) (10,1) (14,22) (6,12) (4,15) (1,4) (9,21) (8,4) (1,21) (17,3) (17,7) (12,3) (2,0) (19,1) (22,23) (17,23) (4,11) (23,18) (7,13) (16,4) (4,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1397", - "image": "data/cycle/graph_visual/Base/medium/graph1397.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (3,14) (2,9) (0,14) (2,15) (2,17) (7,4) (4,10) (9,6) (1,0) (10,18) (12,2) (13,2) (16,6) (7,1) (14,12) (11,8) (9,5) (15,8) (9,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1304", - "image": "data/cycle/graph_visual/Base/medium/graph1304.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (16,1) (3,12) (0,2) (8,5) (10,9) (16,7) (0,5) (7,4) (3,8) (0,1) (14,9) (4,0) (8,7) (12,14) (11,2) (6,8) (9,13) (2,14) (3,0) (15,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1089", - "image": "data/cycle/graph_visual/Base/medium/graph1089.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (7,0) (5,4) (10,1) (11,1) (1,12) (10,13) (1,8) (10,7) (4,3) (1,0) (7,2) (4,7) (6,9) (6,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph72", - "image": "data/cycle/graph_visual/Base/medium/graph72.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (1,7) (11,9) (2,3) (7,10) (11,7) (2,0) (5,9) (5,4) (3,11) (2,6) (8,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1266", - "image": "data/cycle/graph_visual/Base/medium/graph1266.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (10,13) (2,3) (12,6) (1,16) (16,5) (8,3) (6,7) (12,11) (0,2) (14,9) (8,4) (9,4) (1,0) (15,3) (10,16) (16,11) (13,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1693", - "image": "data/cycle/graph_visual/Base/medium/graph1693.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (19,7) (10,18) (17,21) (21,20) (11,10) (0,1) (15,13) (0,2) (22,3) (16,17) (6,23) (20,8) (11,5) (22,12) (3,0) (14,10) (15,2) (10,7) (6,7) (0,15) (4,0) (2,4) (9,7) (8,1) (11,4) (17,2) (3,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph673", - "image": "data/cycle/graph_visual/Base/medium/graph673.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (9,17) (11,6) (11,1) (8,0) (16,19) (12,9) (4,0) (6,18) (0,18) (20,15) (2,16) (5,17) (14,0) (10,2) (13,3) (14,13) (20,6) (16,3) (21,1) (12,3) (10,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1081", - "image": "data/cycle/graph_visual/Base/medium/graph1081.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (0,1) (6,5) (9,7) (12,3) (0,3) (13,4) (1,13) (0,2) (10,4) (12,11) (8,12) (4,7) (8,1) (4,2) (3,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph274", - "image": "data/cycle/graph_visual/Base/medium/graph274.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (8,0) (3,12) (6,13) (10,9) (11,9) (3,4) (9,7) (6,0) (2,12) (8,1) (13,10) (4,0) (6,14) (5,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph382", - "image": "data/cycle/graph_visual/Base/medium/graph382.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (14,16) (16,6) (4,15) (9,6) (9,2) (1,4) (10,13) (13,7) (5,11) (3,12) (0,10) (4,5) (16,8) (6,7) (3,15) (16,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1078", - "image": "data/cycle/graph_visual/Base/medium/graph1078.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (12,6) (2,10) (10,5) (3,12) (8,10) (10,4) (2,3) (4,1) (4,0) (2,7) (10,11) (3,9) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1342", - "image": "data/cycle/graph_visual/Base/medium/graph1342.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (16,4) (0,12) (9,10) (13,2) (13,9) (6,0) (0,7) (5,11) (17,8) (11,12) (15,16) (0,1) (3,4) (16,1) (2,11) (3,10) (14,7) (8,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph190", - "image": "data/cycle/graph_visual/Base/medium/graph190.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (12,0) (7,0) (4,9) (6,5) (5,8) (1,11) (8,1) (6,3) (9,13) (12,3) (8,10) (10,2) (4,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph452", - "image": "data/cycle/graph_visual/Base/medium/graph452.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (9,15) (12,15) (11,0) (4,7) (17,5) (7,1) (0,6) (2,3) (9,5) (10,16) (14,2) (9,4) (0,8) (13,12) (15,0) (10,5) (14,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph249", - "image": "data/cycle/graph_visual/Base/medium/graph249.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (11,9) (8,0) (13,8) (0,10) (10,6) (3,9) (1,4) (9,5) (12,10) (2,10) (7,13) (14,10) (1,14) (13,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1598", - "image": "data/cycle/graph_visual/Base/medium/graph1598.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (13,20) (20,6) (9,21) (1,10) (8,14) (0,2) (14,0) (0,16) (18,3) (11,8) (17,6) (9,7) (21,6) (11,19) (0,3) (21,15) (5,16) (7,12) (2,14) (4,18) (16,4) (1,20) (1,4) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph353", - "image": "data/cycle/graph_visual/Base/medium/graph353.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (0,12) (2,4) (12,2) (6,3) (11,8) (5,7) (15,2) (6,13) (1,12) (15,13) (14,6) (7,4) (10,7) (9,5) (12,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph777", - "image": "data/cycle/graph_visual/Base/medium/graph777.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (21,13) (13,15) (0,7) (0,9) (20,9) (10,21) (4,21) (6,13) (3,15) (18,20) (1,11) (5,9) (14,12) (15,2) (19,7) (14,0) (16,22) (7,11) (22,4) (9,10) (8,7) (8,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph599", - "image": "data/cycle/graph_visual/Base/medium/graph599.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (13,2) (7,0) (4,19) (16,10) (4,12) (14,11) (9,5) (11,9) (5,17) (1,16) (6,9) (10,12) (12,7) (13,8) (16,8) (15,8) (13,18) (0,3) (17,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1611", - "image": "data/cycle/graph_visual/Base/medium/graph1611.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (0,15) (1,8) (8,20) (15,21) (17,20) (0,3) (19,16) (2,10) (0,1) (8,0) (9,15) (17,4) (7,10) (12,17) (21,18) (3,6) (7,14) (3,9) (6,11) (13,19) (16,0) (6,5) (2,0) (4,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1552", - "image": "data/cycle/graph_visual/Base/medium/graph1552.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (6,7) (4,2) (18,2) (0,12) (5,8) (3,0) (1,9) (20,5) (13,3) (4,15) (3,12) (12,17) (1,7) (8,11) (17,11) (9,10) (16,7) (16,17) (9,19) (0,1) (0,2) (14,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph780", - "image": "data/cycle/graph_visual/Base/medium/graph780.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (3,11) (15,9) (16,13) (12,20) (2,10) (3,7) (18,8) (18,6) (23,6) (0,22) (18,0) (21,6) (1,17) (10,20) (5,15) (16,14) (8,20) (7,17) (13,22) (9,17) (4,0) (2,19) (19,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph740", - "image": "data/cycle/graph_visual/Base/medium/graph740.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (15,7) (11,3) (16,9) (9,7) (7,10) (7,13) (1,0) (9,6) (10,2) (0,22) (9,18) (8,6) (2,20) (14,19) (21,9) (14,15) (12,5) (17,10) (13,12) (1,11) (4,14) (17,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph950", - "image": "data/cycle/graph_visual/Base/medium/graph950.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (2,0) (7,4) (5,3) (10,9) (10,1) (3,7) (7,10) (0,1) (2,1) (3,8) (6,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1158", - "image": "data/cycle/graph_visual/Base/medium/graph1158.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (0,9) (7,10) (10,14) (1,0) (0,2) (1,2) (2,10) (4,7) (14,11) (0,4) (12,8) (3,13) (9,4) (5,3) (0,3) (13,14) (8,14) (6,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1157", - "image": "data/cycle/graph_visual/Base/medium/graph1157.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (8,7) (2,0) (4,1) (13,12) (11,3) (3,9) (14,3) (0,12) (10,3) (4,2) (6,5) (1,13) (7,4) (3,5) (9,8) (0,3) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph801", - "image": "data/cycle/graph_visual/Base/medium/graph801.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (15,6) (6,5) (19,13) (18,2) (17,1) (8,14) (3,18) (6,23) (0,3) (1,6) (12,21) (18,9) (4,6) (13,9) (8,22) (20,14) (12,11) (14,19) (7,23) (11,9) (16,6) (15,0) (10,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph800", - "image": "data/cycle/graph_visual/Base/medium/graph800.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (16,20) (18,11) (13,3) (15,6) (21,0) (9,14) (1,5) (10,13) (13,2) (5,19) (9,15) (11,0) (22,0) (2,4) (8,22) (7,23) (18,13) (12,20) (16,15) (17,6) (5,16) (7,4) (16,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1192", - "image": "data/cycle/graph_visual/Base/medium/graph1192.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (0,4) (0,8) (6,1) (14,4) (10,8) (0,1) (8,11) (11,12) (5,7) (4,6) (12,3) (2,12) (11,13) (0,3) (10,4) (9,2) (2,0) (5,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph578", - "image": "data/cycle/graph_visual/Base/medium/graph578.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (9,6) (10,1) (8,16) (17,15) (0,13) (12,4) (18,2) (7,8) (5,4) (14,15) (11,4) (14,10) (12,1) (9,18) (3,9) (0,7) (13,19) (1,7) (5,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph810", - "image": "data/cycle/graph_visual/Base/medium/graph810.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (14,17) (5,14) (2,16) (11,3) (11,6) (22,0) (8,16) (1,19) (10,5) (4,3) (0,19) (5,9) (18,16) (13,9) (8,20) (22,23) (3,12) (14,21) (6,15) (10,8) (10,7) (14,3) (19,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph715", - "image": "data/cycle/graph_visual/Base/medium/graph715.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (20,10) (19,14) (11,15) (6,9) (0,7) (2,11) (2,1) (4,13) (3,19) (10,13) (2,18) (14,5) (6,17) (5,18) (19,0) (12,8) (2,10) (8,4) (9,21) (21,7) (16,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1306", - "image": "data/cycle/graph_visual/Base/medium/graph1306.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (5,1) (8,11) (6,9) (0,3) (7,10) (6,16) (4,12) (14,0) (9,7) (11,13) (0,1) (16,3) (0,2) (14,8) (2,14) (4,1) (4,15) (16,0) (6,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph318", - "image": "data/cycle/graph_visual/Base/medium/graph318.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (10,11) (3,0) (6,8) (2,5) (3,15) (12,11) (12,0) (12,7) (12,8) (10,13) (7,5) (7,4) (14,8) (7,1) (9,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1697", - "image": "data/cycle/graph_visual/Base/medium/graph1697.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (5,0) (17,21) (23,6) (14,18) (11,19) (3,18) (12,4) (20,13) (15,6) (1,0) (2,15) (21,4) (17,22) (23,21) (5,2) (23,18) (0,10) (8,7) (10,11) (8,0) (0,4) (15,8) (1,9) (15,16) (0,3) (2,0) (13,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1267", - "image": "data/cycle/graph_visual/Base/medium/graph1267.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (10,6) (7,3) (12,8) (16,15) (2,0) (12,0) (14,15) (11,1) (14,0) (6,13) (7,16) (7,4) (9,4) (4,2) (2,1) (0,1) (6,12) (5,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph435", - "image": "data/cycle/graph_visual/Base/medium/graph435.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (2,4) (6,9) (16,7) (0,12) (1,7) (12,17) (7,5) (2,0) (8,3) (2,13) (17,16) (9,14) (4,11) (9,1) (15,10) (12,3) (15,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph756", - "image": "data/cycle/graph_visual/Base/medium/graph756.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (5,16) (0,17) (7,5) (10,11) (12,7) (6,22) (4,17) (13,8) (12,17) (13,17) (11,15) (16,18) (18,22) (12,3) (1,19) (9,11) (21,19) (2,8) (12,14) (0,11) (7,20) (12,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph873", - "image": "data/cycle/graph_visual/Base/medium/graph873.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (4,17) (11,9) (22,7) (2,8) (6,22) (16,5) (15,11) (10,11) (17,13) (11,0) (8,13) (14,12) (1,19) (5,7) (0,24) (12,1) (17,20) (7,12) (23,19) (18,16) (17,24) (21,12) (12,3) (0,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1619", - "image": "data/cycle/graph_visual/Base/medium/graph1619.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (13,20) (7,19) (12,9) (11,21) (14,6) (13,14) (4,19) (18,20) (16,8) (6,17) (5,3) (0,5) (15,1) (0,4) (6,0) (1,0) (0,12) (10,17) (3,0) (21,2) (2,0) (20,8) (2,4) (20,3) (6,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1094", - "image": "data/cycle/graph_visual/Base/medium/graph1094.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (5,12) (3,1) (5,9) (2,5) (10,0) (0,1) (11,0) (13,1) (0,2) (10,7) (6,8) (11,12) (3,6) (0,13) (4,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph434", - "image": "data/cycle/graph_visual/Base/medium/graph434.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (9,13) (12,4) (7,2) (0,11) (6,9) (3,14) (1,13) (12,9) (10,2) (6,5) (17,9) (10,9) (14,16) (15,14) (7,15) (11,7) (1,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph887", - "image": "data/cycle/graph_visual/Base/medium/graph887.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (23,5) (0,20) (9,8) (1,15) (11,15) (16,0) (19,11) (2,22) (2,24) (17,4) (10,14) (10,6) (10,9) (10,5) (21,12) (22,16) (7,6) (14,12) (10,20) (18,15) (11,2) (13,22) (0,17) (5,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph573", - "image": "data/cycle/graph_visual/Base/medium/graph573.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (2,15) (1,8) (15,7) (7,5) (16,10) (17,14) (9,2) (2,6) (12,11) (13,8) (4,6) (8,11) (17,7) (9,3) (12,5) (8,10) (0,15) (19,18) (2,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph778", - "image": "data/cycle/graph_visual/Base/medium/graph778.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (17,22) (16,10) (12,6) (4,17) (2,17) (9,5) (18,10) (14,19) (9,15) (18,12) (6,1) (2,19) (4,0) (12,11) (1,15) (17,15) (7,14) (6,20) (7,13) (21,14) (3,14) (15,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph65", - "image": "data/cycle/graph_visual/Base/medium/graph65.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (6,11) (7,10) (9,2) (2,0) (5,4) (4,1) (7,1) (1,3) (6,10) (8,7) (7,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph951", - "image": "data/cycle/graph_visual/Base/medium/graph951.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (5,0) (1,0) (3,0) (5,6) (9,6) (2,1) (7,10) (2,0) (8,4) (4,0) (9,4) (6,1) (7,3) (7,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph108", - "image": "data/cycle/graph_visual/Base/medium/graph108.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (11,10) (8,0) (3,8) (8,2) (8,4) (4,9) (2,5) (7,8) (1,5) (11,6) (3,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1294", - "image": "data/cycle/graph_visual/Base/medium/graph1294.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (11,13) (1,5) (10,14) (6,14) (16,6) (15,11) (3,12) (14,5) (15,6) (8,12) (7,8) (2,5) (3,0) (2,0) (1,0) (9,14) (4,14) (7,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph879", - "image": "data/cycle/graph_visual/Base/medium/graph879.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (17,21) (14,8) (4,21) (13,21) (3,15) (24,10) (10,14) (4,3) (23,7) (20,12) (2,16) (5,22) (21,22) (13,12) (19,6) (6,22) (3,0) (9,14) (19,18) (11,4) (16,10) (7,12) (1,9) (2,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph41", - "image": "data/cycle/graph_visual/Base/medium/graph41.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (1,10) (3,9) (4,10) (9,7) (8,4) (6,0) (8,6) (1,9) (8,2) (8,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1218", - "image": "data/cycle/graph_visual/Base/medium/graph1218.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (6,0) (6,10) (6,3) (1,8) (9,1) (15,10) (9,13) (1,11) (1,0) (12,2) (0,4) (5,9) (7,15) (13,3) (14,3) (12,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1480", - "image": "data/cycle/graph_visual/Base/medium/graph1480.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (7,0) (1,10) (13,0) (7,1) (4,5) (9,18) (2,5) (15,17) (1,0) (0,2) (9,6) (12,1) (18,2) (14,10) (16,8) (14,15) (13,19) (12,4) (4,11) (3,9) (8,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1599", - "image": "data/cycle/graph_visual/Base/medium/graph1599.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (12,17) (6,14) (18,2) (18,9) (6,5) (6,4) (20,8) (12,11) (1,0) (11,9) (9,13) (8,14) (0,15) (6,10) (7,20) (18,3) (15,21) (1,6) (14,19) (1,16) (3,0) (19,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph665", - "image": "data/cycle/graph_visual/Base/medium/graph665.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (3,17) (9,4) (6,8) (19,0) (17,16) (20,19) (10,15) (7,17) (13,2) (1,18) (16,19) (14,8) (12,4) (1,15) (2,20) (6,18) (16,5) (0,11) (6,20) (0,4) (20,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1001", - "image": "data/cycle/graph_visual/Base/medium/graph1001.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (11,9) (0,7) (10,0) (0,2) (1,0) (11,4) (3,8) (2,4) (1,5) (0,4) (6,2) (0,11) (0,3) (7,3) (3,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph85", - "image": "data/cycle/graph_visual/Base/medium/graph85.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (1,2) (4,7) (7,1) (3,9) (0,6) (0,10) (5,7) (10,3) (0,8) (2,6) (11,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1787", - "image": "data/cycle/graph_visual/Base/medium/graph1787.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (23,21) (21,13) (23,14) (4,0) (1,20) (14,4) (20,17) (6,3) (18,24) (5,13) (8,22) (2,0) (24,9) (3,0) (11,16) (24,19) (1,0) (1,12) (15,1) (16,17) (2,11) (8,4) (3,10) (1,23) (17,10) (7,19) (7,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph200", - "image": "data/cycle/graph_visual/Base/medium/graph200.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (11,5) (8,12) (5,0) (8,6) (5,6) (5,10) (2,6) (7,13) (0,13) (11,4) (1,4) (8,3) (9,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1483", - "image": "data/cycle/graph_visual/Base/medium/graph1483.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (5,18) (13,1) (11,10) (15,9) (13,4) (14,5) (0,2) (10,19) (18,9) (10,8) (14,7) (2,3) (13,0) (1,19) (11,12) (16,11) (0,1) (8,17) (6,3) (15,19) (11,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph611", - "image": "data/cycle/graph_visual/Base/medium/graph611.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (16,0) (6,2) (4,5) (7,2) (0,3) (20,8) (5,18) (13,5) (16,12) (9,10) (8,17) (0,15) (18,1) (5,11) (14,5) (3,5) (20,15) (7,14) (19,15) (11,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1707", - "image": "data/cycle/graph_visual/Base/medium/graph1707.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (0,1) (15,3) (1,4) (6,18) (18,4) (13,19) (17,12) (2,8) (0,19) (15,0) (23,8) (8,14) (23,22) (11,15) (10,14) (5,2) (7,3) (0,22) (9,15) (12,13) (20,16) (6,3) (21,14) (20,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph696", - "image": "data/cycle/graph_visual/Base/medium/graph696.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (10,17) (12,5) (21,18) (8,10) (6,2) (15,2) (2,20) (20,0) (8,14) (15,7) (5,7) (16,17) (8,11) (3,8) (1,15) (12,11) (18,20) (9,6) (13,2) (9,4) (7,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph700", - "image": "data/cycle/graph_visual/Base/medium/graph700.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (7,0) (9,5) (15,9) (21,10) (19,16) (14,11) (13,0) (6,13) (17,8) (17,1) (9,13) (5,2) (3,8) (13,19) (21,11) (0,20) (18,8) (4,3) (17,0) (11,13) (15,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph194", - "image": "data/cycle/graph_visual/Base/medium/graph194.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (7,4) (3,10) (13,8) (1,2) (6,2) (7,1) (5,13) (10,0) (12,3) (0,6) (13,3) (9,7) (11,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1374", - "image": "data/cycle/graph_visual/Base/medium/graph1374.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (2,0) (17,15) (3,12) (1,0) (1,7) (0,5) (1,9) (4,0) (17,12) (8,3) (14,9) (12,0) (7,16) (13,2) (11,4) (15,10) (7,5) (17,16) (6,9) (0,3) (4,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1283", - "image": "data/cycle/graph_visual/Base/medium/graph1283.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 16, and the edges are: (3,0) (16,12) (2,11) (8,14) (1,0) (5,2) (3,1) (6,10) (0,2) (10,15) (9,13) (16,13) (4,14) (14,11) (3,5) (13,7) (14,10) (13,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph449", - "image": "data/cycle/graph_visual/Base/medium/graph449.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (16,0) (12,17) (9,6) (9,2) (4,11) (14,17) (17,4) (11,13) (16,8) (0,5) (14,16) (14,6) (1,15) (1,3) (10,15) (10,7) (8,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph797", - "image": "data/cycle/graph_visual/Base/medium/graph797.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (8,2) (12,1) (0,18) (12,7) (0,11) (10,11) (4,17) (12,14) (17,20) (7,5) (17,12) (11,9) (22,6) (23,0) (1,19) (18,16) (15,11) (13,17) (22,19) (12,3) (8,13) (21,7) (5,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph461", - "image": "data/cycle/graph_visual/Base/medium/graph461.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (3,2) (6,7) (5,6) (17,0) (13,14) (3,13) (3,0) (15,17) (14,8) (10,4) (12,17) (1,6) (7,10) (9,11) (11,12) (7,16) (14,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph870", - "image": "data/cycle/graph_visual/Base/medium/graph870.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (14,24) (2,6) (13,24) (6,8) (1,23) (17,15) (16,5) (4,24) (17,10) (13,6) (20,13) (7,23) (16,19) (15,1) (21,19) (23,13) (22,7) (0,23) (3,21) (9,19) (11,1) (20,5) (12,4) (18,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph650", - "image": "data/cycle/graph_visual/Base/medium/graph650.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (5,17) (7,4) (5,14) (13,1) (1,20) (18,10) (15,3) (19,5) (19,0) (17,13) (1,8) (3,20) (4,6) (14,12) (9,0) (7,2) (11,16) (19,10) (2,11) (8,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1240", - "image": "data/cycle/graph_visual/Base/medium/graph1240.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (12,10) (2,0) (13,0) (2,11) (2,15) (9,6) (2,8) (12,13) (4,2) (3,1) (11,9) (7,14) (11,5) (1,0) (14,3) (11,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1762", - "image": "data/cycle/graph_visual/Base/medium/graph1762.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (6,9) (9,13) (0,2) (10,17) (20,0) (21,7) (3,0) (11,8) (23,2) (4,8) (1,0) (22,20) (23,18) (19,17) (2,6) (1,15) (11,12) (8,10) (7,5) (20,24) (8,16) (22,3) (2,15) (14,2) (7,15) (12,5) (20,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph465", - "image": "data/cycle/graph_visual/Base/medium/graph465.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (16,12) (1,9) (11,4) (0,2) (13,9) (6,8) (7,16) (4,6) (2,3) (8,14) (5,9) (13,11) (0,14) (15,0) (7,14) (0,17) (10,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1400", - "image": "data/cycle/graph_visual/Base/medium/graph1400.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 18, and the edges are: (14,6) (1,6) (2,14) (3,0) (1,0) (4,13) (3,18) (10,1) (11,8) (16,4) (9,6) (11,15) (7,12) (14,18) (0,16) (5,16) (8,14) (9,7) (4,1) (0,2) (17,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1095", - "image": "data/cycle/graph_visual/Base/medium/graph1095.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (12,6) (0,5) (6,8) (11,5) (1,0) (8,4) (9,7) (6,9) (8,3) (0,2) (6,1) (3,0) (5,4) (10,7) (0,4) (2,1) (13,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1495", - "image": "data/cycle/graph_visual/Base/medium/graph1495.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (9,16) (12,14) (17,15) (18,10) (0,8) (1,0) (13,0) (0,15) (7,1) (4,7) (0,2) (19,5) (0,6) (11,19) (15,12) (4,9) (5,9) (2,14) (10,5) (2,3) (17,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1491", - "image": "data/cycle/graph_visual/Base/medium/graph1491.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (11,16) (5,15) (1,0) (5,18) (4,17) (2,0) (3,6) (16,7) (13,14) (16,10) (19,2) (15,9) (6,14) (1,11) (5,1) (11,12) (14,0) (8,1) (19,11) (4,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph927", - "image": "data/cycle/graph_visual/Base/medium/graph927.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (9,6) (0,9) (1,4) (7,3) (6,1) (8,2) (10,2) (3,10) (1,0) (0,5) (9,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph642", - "image": "data/cycle/graph_visual/Base/medium/graph642.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (16,12) (6,17) (0,13) (2,13) (18,9) (3,0) (1,18) (11,4) (15,8) (5,2) (14,7) (13,1) (11,10) (8,0) (14,16) (12,19) (3,19) (15,20) (17,12) (8,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1021", - "image": "data/cycle/graph_visual/Base/medium/graph1021.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (8,2) (10,2) (4,7) (10,12) (5,10) (7,10) (3,4) (9,8) (2,1) (11,8) (3,6) (0,9) (3,0) (0,2) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1740", - "image": "data/cycle/graph_visual/Base/medium/graph1740.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (0,17) (22,13) (3,21) (1,0) (24,6) (21,4) (3,0) (16,23) (1,10) (24,17) (12,9) (13,5) (10,22) (7,20) (15,20) (5,4) (9,16) (15,3) (0,2) (18,22) (11,17) (6,7) (6,14) (8,17) (16,17) (4,2) (0,4) (19,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph204", - "image": "data/cycle/graph_visual/Base/medium/graph204.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (3,13) (3,6) (4,0) (11,8) (1,11) (1,2) (12,4) (6,5) (3,0) (2,6) (8,9) (13,10) (8,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph895", - "image": "data/cycle/graph_visual/Base/medium/graph895.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (5,15) (11,10) (21,24) (3,1) (17,20) (13,15) (10,16) (18,15) (19,5) (6,20) (9,14) (0,5) (14,8) (8,22) (7,6) (12,7) (9,15) (2,21) (23,24) (10,3) (16,21) (8,6) (4,14) (3,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1239", - "image": "data/cycle/graph_visual/Base/medium/graph1239.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (10,9) (9,15) (9,2) (15,14) (5,10) (3,8) (1,7) (15,4) (11,2) (6,5) (13,12) (7,15) (9,13) (8,14) (5,0) (0,1) (3,0) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1141", - "image": "data/cycle/graph_visual/Base/medium/graph1141.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (7,0) (12,2) (13,4) (4,10) (13,12) (5,14) (7,10) (6,13) (6,1) (13,8) (0,14) (3,14) (0,9) (2,0) (1,0) (11,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph632", - "image": "data/cycle/graph_visual/Base/medium/graph632.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (5,14) (0,10) (14,15) (16,13) (19,6) (8,4) (14,3) (16,19) (4,5) (10,2) (12,5) (1,19) (14,20) (10,17) (12,1) (18,2) (7,11) (0,11) (19,17) (8,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph562", - "image": "data/cycle/graph_visual/Base/medium/graph562.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (11,17) (11,12) (0,14) (19,8) (10,2) (15,9) (19,11) (7,1) (18,4) (8,14) (3,10) (5,13) (16,1) (6,14) (8,15) (18,15) (8,2) (13,3) (16,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1630", - "image": "data/cycle/graph_visual/Base/medium/graph1630.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (1,15) (8,21) (13,6) (14,16) (9,2) (15,17) (18,15) (0,5) (10,22) (16,0) (12,10) (22,17) (19,11) (3,1) (8,16) (21,7) (4,17) (19,4) (1,0) (10,9) (14,6) (14,12) (0,2) (11,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph211", - "image": "data/cycle/graph_visual/Base/medium/graph211.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (9,1) (1,11) (2,11) (13,12) (10,5) (9,0) (0,3) (2,7) (2,4) (10,11) (5,12) (6,3) (8,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph793", - "image": "data/cycle/graph_visual/Base/medium/graph793.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (11,8) (23,6) (4,9) (5,0) (3,4) (14,18) (6,13) (21,7) (15,10) (1,23) (18,15) (18,19) (17,10) (16,3) (5,20) (10,4) (3,2) (20,12) (2,22) (8,21) (14,13) (0,13) (21,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1532", - "image": "data/cycle/graph_visual/Base/medium/graph1532.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 20, and the edges are: (12,9) (1,0) (9,6) (13,1) (7,15) (14,15) (12,4) (2,0) (10,7) (5,6) (3,14) (1,8) (17,10) (9,7) (9,19) (14,16) (2,10) (9,13) (20,17) (11,0) (7,11) (18,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1782", - "image": "data/cycle/graph_visual/Base/medium/graph1782.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 24, and the edges are: (1,0) (8,17) (6,13) (5,13) (13,23) (23,3) (17,3) (14,7) (2,0) (2,22) (5,15) (8,9) (14,19) (16,14) (23,24) (21,11) (9,1) (11,23) (22,4) (15,18) (16,4) (7,10) (20,2) (9,12) (5,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1056", - "image": "data/cycle/graph_visual/Base/medium/graph1056.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (11,7) (5,12) (1,0) (7,8) (2,4) (7,3) (1,4) (10,8) (6,3) (9,7) (0,6) (8,5) (4,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1105", - "image": "data/cycle/graph_visual/Base/medium/graph1105.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (4,2) (0,2) (7,10) (6,4) (3,4) (2,9) (0,1) (11,7) (5,0) (8,9) (0,12) (3,12) (7,5) (12,13) (4,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph336", - "image": "data/cycle/graph_visual/Base/medium/graph336.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (2,13) (2,1) (11,6) (13,12) (10,0) (2,8) (3,11) (10,1) (2,15) (5,4) (1,7) (1,6) (3,9) (4,12) (14,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph32", - "image": "data/cycle/graph_visual/Base/medium/graph32.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (9,6) (10,1) (10,7) (7,0) (4,7) (4,3) (2,7) (5,4) (6,1) (1,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1674", - "image": "data/cycle/graph_visual/Base/medium/graph1674.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (4,21) (14,15) (20,7) (7,8) (1,12) (0,1) (13,0) (21,2) (5,13) (9,18) (20,0) (0,2) (18,2) (4,11) (4,12) (5,19) (17,15) (10,14) (3,0) (3,9) (1,10) (8,16) (6,9) (7,1) (5,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph22", - "image": "data/cycle/graph_visual/Base/medium/graph22.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (6,8) (0,6) (8,5) (3,9) (1,10) (10,4) (9,1) (4,8) (8,2) (9,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1030", - "image": "data/cycle/graph_visual/Base/medium/graph1030.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (9,3) (0,2) (2,12) (8,12) (7,0) (8,11) (8,7) (0,1) (10,9) (6,7) (7,5) (1,8) (2,3) (4,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph240", - "image": "data/cycle/graph_visual/Base/medium/graph240.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (5,2) (14,6) (0,8) (1,5) (7,11) (8,13) (8,2) (3,11) (11,12) (4,10) (3,8) (12,4) (9,8) (6,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph760", - "image": "data/cycle/graph_visual/Base/medium/graph760.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (20,13) (1,19) (11,17) (5,7) (15,6) (8,19) (2,3) (21,10) (18,21) (20,12) (6,19) (9,14) (22,17) (5,21) (16,12) (18,1) (0,1) (13,5) (2,11) (16,11) (2,4) (9,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph677", - "image": "data/cycle/graph_visual/Base/medium/graph677.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (1,18) (12,11) (5,14) (18,8) (20,8) (15,20) (5,11) (13,16) (2,6) (9,21) (17,0) (9,10) (5,16) (0,15) (7,14) (21,15) (7,2) (5,3) (5,4) (5,19) (0,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph349", - "image": "data/cycle/graph_visual/Base/medium/graph349.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 15, and the edges are: (3,11) (6,14) (12,1) (4,1) (13,9) (11,1) (15,2) (11,5) (6,12) (1,8) (10,15) (9,2) (13,7) (0,11) (15,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph208", - "image": "data/cycle/graph_visual/Base/medium/graph208.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 13, and the edges are: (1,10) (7,13) (8,5) (3,7) (1,4) (11,10) (2,12) (7,10) (6,7) (7,2) (5,3) (9,3) (0,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1353", - "image": "data/cycle/graph_visual/Base/medium/graph1353.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (13,11) (8,6) (14,7) (0,15) (1,9) (3,2) (0,1) (0,3) (8,14) (16,12) (12,10) (0,2) (13,9) (9,5) (0,14) (17,0) (6,4) (7,16) (4,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph95", - "image": "data/cycle/graph_visual/Base/medium/graph95.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (10,3) (5,7) (6,0) (1,2) (9,3) (1,7) (0,8) (4,7) (10,0) (6,2) (11,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1363", - "image": "data/cycle/graph_visual/Base/medium/graph1363.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (15,14) (12,9) (0,1) (2,10) (12,4) (9,6) (13,1) (0,11) (14,3) (7,15) (11,7) (13,9) (17,9) (8,1) (7,2) (5,6) (9,10) (16,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1675", - "image": "data/cycle/graph_visual/Base/medium/graph1675.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (6,10) (2,0) (11,5) (1,13) (0,1) (4,7) (20,15) (4,9) (2,4) (17,20) (12,15) (14,12) (15,18) (7,3) (7,16) (12,8) (14,21) (18,22) (6,16) (12,6) (22,11) (0,19) (2,1) (14,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1639", - "image": "data/cycle/graph_visual/Base/medium/graph1639.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (3,2) (6,15) (5,13) (21,10) (19,8) (11,2) (2,4) (5,21) (21,18) (18,1) (20,13) (12,20) (4,0) (16,12) (17,22) (1,0) (0,2) (11,17) (6,19) (3,0) (0,5) (1,19) (11,16) (9,8) (14,9) (5,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1", - "image": "data/cycle/graph_visual/Base/medium/graph1.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (6,8) (8,4) (5,10) (3,10) (4,9) (0,7) (0,2) (3,6) (7,8) (8,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph785", - "image": "data/cycle/graph_visual/Base/medium/graph785.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (19,12) (19,15) (4,2) (14,5) (7,23) (22,18) (10,11) (8,14) (23,3) (22,15) (5,13) (22,9) (3,6) (2,11) (21,15) (9,5) (17,7) (11,0) (23,13) (4,20) (16,7) (4,1) (6,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph29", - "image": "data/cycle/graph_visual/Base/medium/graph29.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 10, and the edges are: (2,1) (10,3) (0,9) (2,3) (5,6) (6,2) (3,4) (0,1) (5,7) (3,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph757", - "image": "data/cycle/graph_visual/Base/medium/graph757.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 22, and the edges are: (8,20) (8,12) (19,22) (4,10) (0,22) (10,7) (16,1) (9,4) (11,17) (18,3) (0,16) (8,15) (18,20) (2,17) (10,5) (1,14) (6,4) (13,18) (13,9) (11,0) (21,16) (3,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph164", - "image": "data/cycle/graph_visual/Base/medium/graph164.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 12, and the edges are: (6,8) (11,4) (2,4) (1,7) (12,1) (3,2) (9,0) (9,1) (5,3) (5,1) (12,10) (8,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph453", - "image": "data/cycle/graph_visual/Base/medium/graph453.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (8,6) (9,8) (15,11) (16,12) (11,17) (2,3) (1,5) (2,11) (16,14) (6,1) (10,9) (13,5) (12,13) (14,17) (5,7) (0,1) (2,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1592", - "image": "data/cycle/graph_visual/Base/medium/graph1592.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 21, and the edges are: (8,17) (3,0) (9,5) (7,0) (11,13) (2,0) (13,19) (5,2) (13,9) (6,13) (13,0) (20,0) (15,9) (10,21) (21,11) (12,15) (17,1) (3,8) (0,17) (16,19) (11,14) (3,4) (18,8) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph1373", - "image": "data/cycle/graph_visual/Base/medium/graph1373.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 17, and the edges are: (4,11) (9,12) (5,13) (0,1) (2,8) (2,15) (10,16) (3,10) (12,6) (10,11) (3,6) (8,17) (14,1) (10,7) (5,0) (13,10) (0,2) (0,3) (8,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph64", - "image": "data/cycle/graph_visual/Base/medium/graph64.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 11, and the edges are: (1,6) (2,0) (7,8) (2,11) (10,6) (10,3) (11,8) (7,4) (3,7) (5,6) (4,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1725", - "image": "data/cycle/graph_visual/Base/medium/graph1725.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 23, and the edges are: (15,9) (22,12) (3,12) (16,5) (13,9) (19,11) (18,4) (2,0) (18,12) (10,15) (20,13) (1,0) (7,14) (2,1) (6,19) (0,8) (11,12) (20,0) (19,16) (21,5) (1,11) (3,23) (16,7) (0,23) (17,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-medium-graph253", - "image": "data/cycle/graph_visual/Base/medium/graph253.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 14, and the edges are: (1,3) (10,3) (7,2) (14,4) (10,0) (1,11) (8,5) (12,13) (4,9) (11,6) (4,7) (13,8) (1,4) (4,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-medium-graph1493", - "image": "data/cycle/graph_visual/Base/medium/graph1493.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 19, and the edges are: (13,4) (5,15) (9,17) (1,18) (16,14) (3,0) (1,0) (1,10) (18,3) (0,4) (12,18) (16,15) (0,2) (7,18) (8,3) (10,17) (2,5) (13,8) (2,18) (16,6) (19,0) (11,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph13", - "image": "data/cycle/graph_visual/Base/hard/graph13.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (25,16) (9,7) (25,19) (6,0) (23,6) (23,21) (1,9) (15,11) (19,24) (0,5) (1,8) (6,16) (22,3) (24,14) (8,15) (13,17) (18,9) (18,20) (4,24) (2,12) (21,18) (12,1) (20,10) (13,3) (3,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1374", - "image": "data/cycle/graph_visual/Base/hard/graph1374.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (27,9) (13,10) (6,16) (25,19) (23,15) (12,2) (5,24) (4,24) (25,8) (9,22) (8,28) (11,15) (12,25) (8,1) (24,3) (1,0) (26,6) (18,11) (16,4) (19,3) (18,28) (27,0) (7,28) (13,1) (21,26) (16,14) (2,0) (12,20) (15,17) (9,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph726", - "image": "data/cycle/graph_visual/Base/hard/graph726.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (1,7) (29,27) (0,20) (23,0) (2,13) (4,29) (4,18) (12,8) (0,32) (1,11) (0,12) (17,4) (5,24) (1,18) (6,25) (22,27) (3,16) (19,31) (24,6) (22,14) (21,23) (19,17) (26,27) (25,10) (22,28) (27,16) (9,14) (16,13) (25,32) (20,16) (15,11) (30,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1229", - "image": "data/cycle/graph_visual/Base/hard/graph1229.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (7,0) (9,19) (26,19) (5,26) (6,8) (18,26) (2,0) (17,20) (2,4) (16,7) (0,1) (19,27) (2,5) (23,14) (12,1) (12,22) (25,26) (17,3) (6,21) (0,13) (19,15) (9,11) (10,25) (16,24) (4,20) (20,12) (1,8) (14,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1548", - "image": "data/cycle/graph_visual/Base/hard/graph1548.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (0,2) (20,1) (26,24) (15,25) (10,24) (17,16) (18,9) (4,14) (9,19) (21,25) (19,28) (10,3) (2,11) (3,0) (7,16) (14,23) (20,17) (0,1) (11,3) (5,13) (16,13) (8,29) (23,24) (27,28) (7,27) (17,12) (23,1) (22,1) (18,30) (21,1) (6,29) (4,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1903", - "image": "data/cycle/graph_visual/Base/hard/graph1903.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (21,6) (34,22) (32,5) (31,18) (8,14) (20,19) (1,15) (2,0) (21,10) (6,7) (29,9) (0,3) (0,1) (19,16) (17,24) (23,2) (16,33) (1,13) (28,23) (25,10) (19,5) (5,6) (4,5) (30,5) (27,7) (12,5) (33,11) (24,19) (8,19) (21,34) (20,29) (31,0) (26,11) (2,12) (14,3) (31,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1583", - "image": "data/cycle/graph_visual/Base/hard/graph1583.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (3,0) (23,30) (29,16) (30,27) (20,12) (12,7) (17,4) (21,11) (30,16) (26,7) (17,24) (22,8) (12,3) (19,28) (30,10) (19,1) (30,5) (26,22) (1,0) (9,27) (13,14) (12,1) (7,5) (13,11) (15,11) (17,18) (25,29) (0,11) (2,0) (24,12) (2,8) (28,6) (17,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1766", - "image": "data/cycle/graph_visual/Base/hard/graph1766.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (10,2) (2,0) (29,26) (17,28) (7,29) (17,9) (30,4) (9,23) (1,3) (14,27) (25,30) (5,20) (0,4) (22,30) (24,23) (28,31) (5,0) (14,11) (1,2) (0,1) (4,15) (13,2) (4,29) (20,16) (7,27) (18,8) (8,1) (21,32) (21,18) (0,3) (19,3) (6,25) (14,21) (5,25) (9,12) (9,32)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph996", - "image": "data/cycle/graph_visual/Base/hard/graph996.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (5,28) (11,27) (30,19) (19,24) (17,31) (16,13) (3,10) (21,11) (27,32) (12,23) (5,29) (12,15) (28,34) (2,34) (13,23) (25,4) (16,2) (26,5) (20,13) (25,24) (23,24) (6,29) (13,18) (31,22) (22,24) (8,29) (16,10) (9,29) (24,11) (7,28) (33,21) (0,5) (11,1) (15,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph703", - "image": "data/cycle/graph_visual/Base/hard/graph703.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (17,24) (1,14) (25,28) (10,7) (11,21) (32,3) (30,19) (16,32) (9,11) (8,0) (20,23) (2,12) (6,7) (11,27) (5,17) (9,26) (6,12) (31,13) (32,19) (23,6) (17,22) (11,25) (1,8) (23,30) (18,2) (21,29) (15,12) (5,0) (31,10) (8,4) (23,24) (16,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1016", - "image": "data/cycle/graph_visual/Base/hard/graph1016.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (19,6) (25,20) (10,12) (1,12) (2,0) (25,15) (11,4) (1,0) (6,18) (2,7) (1,2) (9,5) (0,15) (22,2) (24,20) (13,1) (9,11) (15,6) (17,25) (8,4) (17,9) (4,13) (1,14) (6,23) (3,0) (0,4) (5,21) (3,14) (20,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1980", - "image": "data/cycle/graph_visual/Base/hard/graph1980.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (26,3) (25,17) (7,11) (1,32) (25,23) (9,29) (34,26) (21,17) (18,23) (15,8) (3,25) (24,27) (4,34) (32,12) (1,15) (2,29) (28,9) (32,30) (7,20) (2,0) (20,22) (0,1) (13,4) (3,16) (6,27) (8,6) (5,22) (14,31) (26,10) (20,24) (0,4) (14,18) (2,19) (22,17) (33,13) (2,34)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1609", - "image": "data/cycle/graph_visual/Base/hard/graph1609.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (19,13) (1,0) (8,22) (22,23) (3,13) (18,7) (7,20) (12,22) (31,10) (9,12) (13,25) (17,29) (14,19) (9,11) (17,24) (6,25) (27,16) (28,21) (16,3) (30,11) (4,11) (27,15) (14,21) (29,2) (1,29) (26,23) (10,24) (29,25) (5,7) (0,9) (13,26) (29,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1080", - "image": "data/cycle/graph_visual/Base/hard/graph1080.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (16,22) (11,2) (24,11) (11,16) (8,19) (10,15) (6,11) (19,10) (17,25) (7,25) (0,1) (19,18) (1,3) (13,0) (9,2) (17,4) (7,20) (14,20) (13,12) (0,3) (21,9) (2,0) (2,15) (17,19) (12,23) (2,5) (3,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph213", - "image": "data/cycle/graph_visual/Base/hard/graph213.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (6,27) (13,18) (6,17) (16,19) (3,20) (1,13) (0,19) (22,17) (7,16) (7,26) (18,24) (3,21) (0,1) (4,23) (6,2) (7,14) (23,2) (0,10) (23,11) (9,3) (0,17) (7,8) (21,23) (2,25) (4,15) (8,12) (20,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph772", - "image": "data/cycle/graph_visual/Base/hard/graph772.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (8,11) (7,10) (31,17) (18,6) (16,10) (4,30) (20,17) (26,19) (13,1) (1,14) (18,2) (22,4) (28,21) (12,18) (20,25) (21,18) (7,14) (3,26) (9,24) (6,0) (32,23) (20,6) (32,2) (7,5) (4,6) (27,22) (32,7) (24,25) (29,10) (15,0) (24,19) (14,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph906", - "image": "data/cycle/graph_visual/Base/hard/graph906.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (29,22) (2,18) (32,4) (9,7) (7,32) (2,34) (17,33) (14,13) (12,11) (25,20) (26,3) (21,18) (21,30) (24,25) (0,23) (6,4) (32,27) (34,8) (19,24) (0,6) (20,17) (15,18) (10,7) (19,28) (20,6) (4,22) (10,31) (18,6) (10,26) (16,1) (1,14) (14,7) (11,24) (5,33)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph284", - "image": "data/cycle/graph_visual/Base/hard/graph284.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (25,17) (23,18) (21,27) (26,0) (9,11) (7,0) (19,0) (21,16) (15,12) (22,13) (18,10) (9,17) (24,9) (2,3) (25,15) (20,2) (14,6) (8,4) (7,1) (27,4) (14,0) (5,24) (19,20) (15,22) (10,21) (5,23) (12,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1698", - "image": "data/cycle/graph_visual/Base/hard/graph1698.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (10,17) (6,10) (25,22) (4,29) (7,23) (9,15) (18,28) (21,13) (8,7) (6,31) (0,31) (3,10) (9,11) (30,14) (1,22) (25,11) (18,27) (16,7) (3,4) (24,13) (19,2) (4,7) (2,7) (18,21) (23,20) (5,22) (10,26) (30,13) (0,2) (5,12) (25,14) (30,4) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph464", - "image": "data/cycle/graph_visual/Base/hard/graph464.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (13,14) (15,16) (15,27) (6,5) (18,11) (16,0) (2,10) (16,19) (17,21) (11,5) (20,8) (5,21) (3,26) (24,0) (14,9) (4,18) (15,28) (29,1) (22,5) (29,24) (23,0) (8,25) (5,20) (12,7) (28,9) (7,28) (3,0) (5,27) (26,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1607", - "image": "data/cycle/graph_visual/Base/hard/graph1607.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (21,31) (0,21) (12,15) (31,9) (7,27) (30,17) (18,29) (25,12) (20,7) (30,13) (16,19) (18,22) (10,15) (24,16) (1,11) (8,31) (28,3) (31,12) (11,15) (15,5) (20,11) (23,29) (14,11) (0,1) (16,0) (4,21) (19,13) (10,28) (16,26) (7,2) (12,23) (12,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1571", - "image": "data/cycle/graph_visual/Base/hard/graph1571.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (2,10) (11,9) (22,30) (16,12) (22,20) (5,27) (30,19) (8,14) (17,25) (15,25) (2,0) (27,7) (26,2) (1,0) (24,6) (2,28) (1,13) (4,13) (26,1) (12,1) (4,14) (21,20) (1,18) (0,15) (3,27) (15,6) (4,11) (17,9) (29,6) (9,5) (25,20) (23,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1735", - "image": "data/cycle/graph_visual/Base/hard/graph1735.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (3,32) (2,22) (10,8) (14,29) (23,24) (26,18) (10,30) (8,16) (0,27) (17,14) (15,0) (22,11) (20,28) (11,19) (2,13) (24,32) (12,26) (17,1) (31,26) (17,31) (7,26) (2,7) (10,4) (0,21) (30,31) (5,3) (28,25) (0,1) (10,28) (15,4) (9,23) (24,2) (6,30)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph236", - "image": "data/cycle/graph_visual/Base/hard/graph236.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (1,18) (21,8) (0,3) (14,7) (15,16) (20,8) (12,9) (22,3) (24,27) (2,6) (13,11) (0,19) (9,21) (5,11) (5,4) (15,25) (16,0) (14,16) (10,7) (15,23) (26,27) (20,5) (5,27) (18,5) (5,17) (2,26) (24,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph199", - "image": "data/cycle/graph_visual/Base/hard/graph199.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (11,9) (23,26) (7,26) (12,2) (18,21) (14,15) (8,19) (24,17) (0,10) (4,24) (3,13) (16,6) (0,6) (24,3) (6,25) (26,16) (26,5) (18,22) (21,23) (9,1) (18,9) (18,3) (1,15) (1,8) (20,12) (13,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1690", - "image": "data/cycle/graph_visual/Base/hard/graph1690.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (10,24) (10,3) (26,15) (17,20) (29,0) (10,12) (21,29) (17,16) (8,14) (13,22) (28,7) (12,0) (2,0) (17,15) (6,19) (9,28) (13,11) (4,20) (25,20) (22,17) (16,27) (7,19) (2,8) (7,5) (23,28) (26,9) (0,1) (18,11) (28,14) (30,2) (3,31) (1,7) (27,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1531", - "image": "data/cycle/graph_visual/Base/hard/graph1531.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (0,2) (27,2) (16,8) (28,6) (14,13) (18,25) (17,29) (23,30) (25,21) (21,12) (14,6) (9,12) (15,1) (24,26) (25,24) (4,20) (3,20) (22,26) (13,27) (6,23) (29,11) (20,19) (0,4) (3,0) (0,1) (22,29) (2,4) (8,22) (24,20) (19,7) (6,0) (3,5) (15,0) (10,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph92", - "image": "data/cycle/graph_visual/Base/hard/graph92.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (11,4) (18,9) (1,12) (5,21) (13,25) (1,7) (4,12) (7,8) (20,7) (15,18) (16,8) (14,15) (1,10) (2,22) (20,25) (13,0) (6,9) (17,25) (2,21) (0,23) (25,24) (14,10) (25,19) (5,4) (9,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph989", - "image": "data/cycle/graph_visual/Base/hard/graph989.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (28,3) (26,3) (0,22) (5,4) (16,20) (4,13) (16,17) (5,27) (31,4) (25,23) (10,12) (14,33) (30,1) (7,18) (28,22) (32,15) (0,30) (29,11) (21,8) (25,34) (4,12) (25,6) (24,23) (6,9) (11,15) (31,15) (30,16) (33,9) (16,8) (21,14) (21,19) (34,18) (17,2) (26,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1727", - "image": "data/cycle/graph_visual/Base/hard/graph1727.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (28,15) (10,2) (30,5) (3,27) (31,9) (24,22) (26,24) (29,16) (15,4) (27,8) (17,20) (17,12) (1,2) (14,31) (1,0) (8,29) (25,2) (6,0) (3,0) (0,2) (31,11) (28,32) (8,23) (29,7) (21,23) (4,20) (26,18) (11,19) (2,26) (16,18) (13,0) (29,15) (22,30) (23,19) (10,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph933", - "image": "data/cycle/graph_visual/Base/hard/graph933.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (7,1) (7,24) (28,26) (9,30) (1,30) (32,27) (2,7) (1,26) (3,16) (32,6) (31,4) (12,21) (17,0) (33,31) (3,11) (34,8) (26,22) (29,22) (25,17) (10,11) (14,19) (8,18) (4,15) (5,29) (27,31) (29,13) (5,12) (19,33) (20,32) (16,25) (22,18) (16,12) (11,27) (23,28)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph916", - "image": "data/cycle/graph_visual/Base/hard/graph916.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (30,12) (27,28) (9,11) (32,14) (25,5) (10,23) (6,17) (14,5) (27,5) (15,24) (19,30) (17,20) (29,17) (8,22) (2,30) (21,25) (31,21) (3,32) (24,0) (13,3) (3,1) (13,29) (12,4) (9,0) (16,0) (14,22) (7,33) (4,32) (23,26) (18,23) (28,9) (10,21) (1,33) (34,28)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1283", - "image": "data/cycle/graph_visual/Base/hard/graph1283.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (21,9) (11,8) (16,7) (15,4) (11,17) (25,24) (9,25) (3,13) (1,7) (12,0) (0,3) (20,2) (23,1) (10,9) (19,15) (17,16) (0,1) (26,3) (6,7) (4,2) (26,5) (2,0) (12,17) (5,24) (27,8) (24,22) (8,3) (23,14) (18,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1123", - "image": "data/cycle/graph_visual/Base/hard/graph1123.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (14,3) (13,26) (2,11) (2,15) (19,17) (16,11) (22,16) (1,3) (4,17) (8,19) (10,15) (23,12) (14,20) (1,0) (11,25) (11,6) (18,19) (7,20) (19,10) (2,0) (21,9) (5,2) (17,13) (25,7) (9,2) (12,13) (3,0) (24,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1630", - "image": "data/cycle/graph_visual/Base/hard/graph1630.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (21,11) (21,3) (19,13) (9,10) (12,10) (11,24) (22,18) (0,20) (28,14) (23,14) (8,26) (11,19) (19,25) (2,0) (6,30) (1,7) (27,1) (1,0) (31,18) (29,2) (28,15) (28,1) (3,0) (4,8) (4,13) (15,30) (17,18) (24,14) (24,5) (9,28) (27,22) (0,16) (21,29) (22,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph860", - "image": "data/cycle/graph_visual/Base/hard/graph860.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (3,16) (9,17) (19,8) (3,10) (24,16) (8,22) (23,27) (3,25) (13,29) (32,25) (20,31) (29,28) (2,1) (9,33) (8,30) (12,14) (13,0) (30,6) (10,2) (22,32) (21,3) (14,23) (22,18) (8,14) (4,29) (32,20) (11,23) (7,33) (1,15) (5,32) (26,10) (28,12) (21,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1143", - "image": "data/cycle/graph_visual/Base/hard/graph1143.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (8,20) (15,8) (1,0) (21,6) (0,21) (1,15) (0,2) (16,5) (0,17) (19,22) (26,11) (7,17) (16,11) (14,4) (23,14) (3,21) (12,0) (24,22) (10,4) (20,25) (19,4) (19,21) (13,12) (8,2) (9,11) (11,14) (25,7) (18,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph41", - "image": "data/cycle/graph_visual/Base/hard/graph41.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (24,10) (15,16) (7,2) (0,19) (9,21) (2,6) (0,16) (1,18) (15,22) (9,12) (4,5) (25,10) (5,20) (5,18) (14,16) (0,3) (11,5) (5,17) (21,8) (15,23) (14,7) (0,24) (20,8) (5,3) (11,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1928", - "image": "data/cycle/graph_visual/Base/hard/graph1928.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (30,14) (3,10) (25,11) (10,19) (11,9) (20,2) (21,31) (25,23) (10,27) (29,18) (26,14) (12,5) (28,18) (22,1) (8,7) (7,24) (17,7) (7,2) (7,4) (22,23) (0,1) (13,21) (10,6) (5,6) (9,16) (4,32) (0,31) (30,4) (5,33) (4,3) (30,13) (34,18) (13,25) (15,22) (5,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1850", - "image": "data/cycle/graph_visual/Base/hard/graph1850.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (26,5) (28,5) (31,27) (15,14) (9,29) (13,20) (23,13) (23,12) (24,22) (2,16) (1,0) (0,2) (19,28) (22,30) (24,23) (0,5) (21,32) (24,19) (3,0) (18,13) (24,25) (16,13) (4,25) (7,28) (27,11) (5,29) (24,11) (3,10) (10,16) (33,2) (21,11) (11,1) (31,17) (8,29) (29,6) (12,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph60", - "image": "data/cycle/graph_visual/Base/hard/graph60.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (18,11) (17,24) (24,20) (9,17) (3,7) (16,8) (21,0) (4,14) (14,0) (10,2) (15,9) (19,18) (0,18) (1,12) (22,7) (12,5) (21,7) (25,10) (13,22) (8,12) (24,4) (10,23) (23,4) (6,5) (12,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph918", - "image": "data/cycle/graph_visual/Base/hard/graph918.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (12,5) (17,1) (32,9) (2,16) (33,4) (7,5) (24,11) (12,27) (30,13) (32,28) (12,14) (30,32) (8,15) (19,7) (20,7) (0,25) (31,1) (11,21) (6,12) (24,29) (10,12) (15,9) (13,14) (26,11) (34,12) (21,20) (0,17) (5,4) (22,18) (23,15) (16,34) (3,20) (16,31) (18,30)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1532", - "image": "data/cycle/graph_visual/Base/hard/graph1532.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (0,27) (3,14) (12,22) (0,2) (20,5) (21,9) (0,5) (27,24) (13,29) (10,15) (17,15) (0,3) (19,18) (15,2) (18,2) (16,23) (1,8) (18,9) (13,15) (30,17) (14,6) (16,7) (16,12) (8,13) (13,0) (17,11) (6,16) (8,25) (24,26) (1,0) (3,4) (5,14) (11,28) (0,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1638", - "image": "data/cycle/graph_visual/Base/hard/graph1638.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (4,25) (8,25) (29,1) (6,13) (18,25) (14,1) (3,0) (22,17) (1,27) (9,27) (24,10) (18,12) (31,2) (4,19) (20,13) (21,10) (11,5) (31,15) (28,21) (20,28) (29,22) (0,5) (26,0) (8,9) (20,31) (0,2) (21,18) (23,21) (11,21) (20,7) (1,0) (16,22) (30,18) (3,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1273", - "image": "data/cycle/graph_visual/Base/hard/graph1273.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (13,27) (3,0) (16,1) (6,25) (15,8) (3,25) (9,2) (21,4) (5,18) (10,24) (4,17) (2,0) (23,6) (24,0) (23,21) (11,22) (7,26) (27,23) (10,11) (15,18) (24,12) (18,19) (0,1) (14,8) (2,15) (25,15) (20,24) (13,26) (8,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph979", - "image": "data/cycle/graph_visual/Base/hard/graph979.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (22,34) (23,4) (7,32) (8,2) (32,23) (29,13) (20,9) (29,6) (24,16) (28,19) (12,33) (23,27) (18,23) (5,1) (33,2) (0,32) (17,27) (26,4) (18,24) (14,6) (4,21) (32,13) (10,23) (5,3) (18,15) (31,0) (0,33) (11,28) (26,30) (5,26) (28,2) (25,27) (4,34) (9,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph4", - "image": "data/cycle/graph_visual/Base/hard/graph4.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (13,22) (23,20) (2,25) (5,13) (16,9) (20,0) (5,4) (16,13) (15,10) (18,1) (12,14) (11,14) (19,4) (25,21) (0,14) (24,1) (17,12) (0,7) (17,1) (8,3) (23,8) (11,5) (15,11) (7,2) (1,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph205", - "image": "data/cycle/graph_visual/Base/hard/graph205.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (26,20) (22,3) (23,27) (2,12) (20,1) (15,0) (2,19) (18,9) (27,9) (1,19) (16,2) (15,17) (23,25) (23,24) (4,8) (13,6) (3,0) (8,25) (7,15) (8,11) (25,21) (2,4) (8,5) (10,0) (9,13) (9,3) (10,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph391", - "image": "data/cycle/graph_visual/Base/hard/graph391.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (26,5) (17,20) (7,0) (26,19) (17,3) (14,23) (9,11) (16,28) (22,12) (2,0) (19,15) (19,9) (20,4) (16,24) (20,12) (0,14) (7,25) (1,12) (19,16) (5,2) (2,4) (25,10) (26,27) (6,21) (1,8) (26,18) (13,0) (8,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1282", - "image": "data/cycle/graph_visual/Base/hard/graph1282.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (10,22) (0,6) (5,12) (19,6) (13,20) (18,14) (5,11) (23,2) (24,14) (3,4) (1,3) (24,12) (1,0) (20,17) (26,6) (4,23) (4,25) (13,7) (7,15) (22,6) (4,16) (8,17) (4,19) (26,5) (21,6) (27,7) (0,13) (19,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph388", - "image": "data/cycle/graph_visual/Base/hard/graph388.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (0,8) (19,6) (11,12) (12,22) (9,15) (28,27) (19,16) (3,12) (0,27) (11,19) (13,20) (21,28) (18,4) (13,9) (2,1) (25,23) (24,0) (23,5) (26,18) (10,15) (10,17) (5,16) (20,3) (1,11) (7,14) (16,7) (28,20) (26,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1410", - "image": "data/cycle/graph_visual/Base/hard/graph1410.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (11,26) (28,3) (2,11) (29,0) (11,13) (12,11) (25,5) (7,15) (14,28) (18,5) (0,2) (20,4) (1,18) (29,8) (15,3) (5,4) (25,24) (2,16) (19,21) (17,28) (1,0) (3,23) (27,17) (26,19) (29,12) (1,19) (23,10) (27,6) (12,22) (21,3) (18,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph402", - "image": "data/cycle/graph_visual/Base/hard/graph402.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (15,16) (24,0) (29,24) (9,28) (5,20) (26,2) (5,22) (27,5) (12,7) (19,16) (23,0) (5,6) (11,5) (0,3) (7,28) (18,11) (21,17) (21,5) (1,29) (14,9) (2,10) (27,15) (20,8) (16,0) (4,18) (28,15) (3,26) (14,13) (25,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph344", - "image": "data/cycle/graph_visual/Base/hard/graph344.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (1,16) (13,23) (17,19) (20,27) (9,5) (9,11) (26,16) (2,13) (0,7) (7,12) (21,17) (27,28) (18,22) (6,9) (25,16) (8,27) (12,26) (10,25) (15,22) (5,24) (24,23) (25,4) (0,3) (20,10) (11,14) (22,3) (8,21) (8,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1718", - "image": "data/cycle/graph_visual/Base/hard/graph1718.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (1,11) (2,1) (2,12) (0,1) (5,0) (0,3) (30,24) (10,11) (25,18) (6,10) (29,23) (13,9) (23,5) (10,27) (32,25) (15,31) (19,7) (17,26) (32,19) (0,4) (20,32) (28,23) (20,29) (4,5) (11,20) (17,2) (8,16) (13,10) (24,27) (22,28) (14,15) (14,1) (0,2) (3,5) (27,16) (23,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1736", - "image": "data/cycle/graph_visual/Base/hard/graph1736.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (30,10) (32,26) (15,19) (1,24) (18,24) (5,9) (14,4) (24,20) (19,18) (17,6) (4,27) (1,11) (22,0) (13,20) (6,28) (5,3) (10,19) (1,0) (9,0) (22,2) (13,31) (21,6) (0,2) (9,27) (17,22) (23,16) (23,12) (24,3) (25,21) (29,23) (3,16) (1,7) (32,13) (14,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph32", - "image": "data/cycle/graph_visual/Base/hard/graph32.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (2,9) (10,21) (21,20) (2,20) (18,0) (7,15) (15,14) (24,21) (9,13) (12,16) (19,18) (15,16) (16,19) (20,8) (13,25) (6,8) (3,20) (17,11) (5,20) (16,23) (5,17) (10,22) (1,5) (7,4) (9,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph713", - "image": "data/cycle/graph_visual/Base/hard/graph713.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (12,5) (13,9) (20,22) (30,12) (6,1) (3,32) (16,26) (18,20) (2,0) (16,9) (29,24) (7,29) (18,11) (12,23) (15,16) (6,4) (6,14) (32,25) (24,4) (25,27) (26,1) (20,19) (8,25) (7,12) (26,31) (1,19) (28,4) (2,7) (6,27) (10,22) (21,17) (6,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1173", - "image": "data/cycle/graph_visual/Base/hard/graph1173.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (1,17) (7,23) (26,15) (11,9) (14,25) (11,12) (6,1) (14,20) (8,14) (13,19) (12,21) (8,23) (5,6) (22,25) (0,2) (3,0) (15,6) (5,0) (4,0) (16,6) (9,18) (3,18) (15,0) (24,19) (6,4) (0,1) (13,9) (20,10) (18,2) (25,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph69", - "image": "data/cycle/graph_visual/Base/hard/graph69.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (21,22) (14,5) (2,11) (9,6) (3,24) (1,2) (0,7) (13,10) (23,13) (4,8) (15,22) (24,6) (2,18) (16,8) (25,4) (7,4) (18,5) (19,0) (12,19) (11,17) (22,9) (4,20) (2,10) (21,10) (14,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph118", - "image": "data/cycle/graph_visual/Base/hard/graph118.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (22,2) (8,10) (16,3) (16,17) (4,24) (17,6) (26,7) (1,25) (12,3) (15,2) (23,12) (13,25) (10,23) (20,19) (5,0) (14,26) (26,9) (0,11) (22,26) (0,24) (24,16) (3,26) (23,18) (13,14) (21,23) (20,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph101", - "image": "data/cycle/graph_visual/Base/hard/graph101.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (14,25) (26,11) (15,16) (23,13) (22,13) (18,9) (2,5) (8,5) (3,26) (11,15) (6,9) (13,9) (12,21) (19,20) (24,0) (13,7) (1,17) (10,0) (17,8) (21,8) (14,11) (19,26) (11,13) (17,0) (23,0) (3,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph509", - "image": "data/cycle/graph_visual/Base/hard/graph509.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (8,28) (13,6) (22,8) (14,20) (24,29) (27,11) (19,23) (15,30) (17,22) (10,22) (5,18) (12,30) (18,24) (11,2) (23,9) (13,23) (11,14) (4,13) (1,25) (21,5) (16,3) (10,19) (26,21) (1,19) (20,0) (18,12) (3,2) (7,24) (11,10) (9,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph437", - "image": "data/cycle/graph_visual/Base/hard/graph437.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (3,2) (28,25) (23,5) (29,10) (25,15) (7,14) (22,14) (28,17) (26,15) (11,4) (18,23) (17,9) (24,9) (12,15) (22,26) (19,0) (13,9) (10,18) (1,7) (0,16) (0,29) (21,20) (8,0) (27,12) (20,6) (27,4) (24,5) (29,2) (19,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph384", - "image": "data/cycle/graph_visual/Base/hard/graph384.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (16,13) (9,4) (22,4) (7,17) (4,24) (6,24) (5,3) (3,15) (16,14) (8,12) (22,19) (1,4) (15,0) (10,21) (23,14) (26,1) (4,12) (20,24) (13,28) (3,17) (23,17) (23,25) (27,21) (7,18) (11,1) (21,1) (2,0) (7,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1854", - "image": "data/cycle/graph_visual/Base/hard/graph1854.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (1,19) (8,12) (9,15) (2,33) (1,6) (22,20) (13,33) (7,29) (4,30) (18,6) (20,19) (11,22) (25,20) (26,32) (23,17) (29,24) (16,21) (2,0) (1,0) (10,25) (16,26) (6,17) (0,3) (7,3) (27,33) (7,12) (14,18) (12,28) (4,0) (6,27) (9,16) (4,24) (4,6) (1,26) (32,5) (12,31)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph594", - "image": "data/cycle/graph_visual/Base/hard/graph594.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (3,22) (26,24) (15,7) (18,30) (12,5) (17,10) (6,9) (7,28) (1,15) (17,22) (14,9) (29,27) (12,25) (15,26) (26,21) (8,10) (20,18) (11,8) (0,20) (5,7) (30,13) (29,23) (6,2) (19,8) (20,29) (26,11) (16,2) (23,2) (26,2) (4,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1175", - "image": "data/cycle/graph_visual/Base/hard/graph1175.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (13,0) (5,11) (4,3) (9,19) (6,20) (5,26) (0,6) (4,24) (6,19) (19,4) (16,20) (5,12) (6,21) (24,14) (0,1) (7,4) (15,7) (17,14) (13,18) (2,23) (17,8) (22,10) (13,26) (3,1) (12,23) (6,25) (4,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1330", - "image": "data/cycle/graph_visual/Base/hard/graph1330.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (25,12) (6,25) (20,14) (13,5) (0,5) (20,2) (23,26) (21,15) (17,24) (26,3) (24,28) (7,11) (0,4) (10,26) (3,21) (26,9) (2,0) (14,15) (18,16) (23,25) (0,18) (11,0) (28,26) (8,11) (19,17) (6,0) (1,0) (3,0) (22,1) (1,13) (8,27) (6,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1174", - "image": "data/cycle/graph_visual/Base/hard/graph1174.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (17,19) (26,20) (17,10) (8,10) (6,9) (23,2) (12,5) (20,23) (15,26) (11,26) (25,2) (26,21) (2,6) (11,8) (14,2) (8,4) (16,8) (7,24) (15,1) (7,15) (9,13) (7,5) (20,0) (1,0) (18,26) (3,22) (12,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph874", - "image": "data/cycle/graph_visual/Base/hard/graph874.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (30,31) (1,4) (31,22) (29,27) (8,10) (7,32) (17,33) (6,20) (1,13) (0,20) (27,12) (13,28) (32,25) (32,21) (6,21) (8,4) (2,8) (12,11) (5,19) (13,14) (4,27) (14,23) (18,21) (6,15) (3,18) (3,8) (30,9) (10,31) (19,9) (16,10) (26,9) (24,32) (17,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1861", - "image": "data/cycle/graph_visual/Base/hard/graph1861.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (7,31) (33,18) (23,1) (16,15) (26,10) (2,4) (4,21) (20,30) (33,28) (29,13) (1,27) (23,4) (28,12) (32,29) (0,1) (29,25) (19,3) (18,14) (7,24) (15,9) (23,8) (19,8) (8,24) (13,0) (17,11) (13,20) (30,33) (10,22) (11,29) (26,32) (0,2) (6,16) (6,31) (27,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph718", - "image": "data/cycle/graph_visual/Base/hard/graph718.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (32,23) (23,15) (10,16) (30,17) (14,31) (10,29) (17,21) (9,19) (1,27) (17,7) (27,22) (11,3) (31,22) (22,13) (0,27) (4,17) (0,25) (29,26) (29,28) (2,13) (1,24) (7,6) (26,2) (4,23) (1,12) (19,18) (11,27) (8,5) (5,19) (27,20) (16,8) (30,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1203", - "image": "data/cycle/graph_visual/Base/hard/graph1203.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (26,0) (10,3) (16,11) (8,2) (0,10) (6,2) (24,27) (26,4) (0,4) (7,19) (6,17) (25,22) (5,16) (1,19) (24,15) (18,8) (6,16) (13,4) (20,16) (0,2) (23,0) (22,16) (24,14) (12,8) (1,21) (3,0) (9,25) (1,0) (6,19) (11,26) (26,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1667", - "image": "data/cycle/graph_visual/Base/hard/graph1667.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (24,23) (19,30) (14,5) (0,2) (9,1) (21,17) (28,9) (27,15) (12,29) (2,18) (26,25) (29,27) (22,10) (0,24) (20,17) (14,25) (26,3) (23,13) (23,1) (8,6) (6,16) (10,2) (4,11) (30,6) (22,20) (16,31) (23,4) (27,7) (21,19) (31,5) (30,9) (0,1) (0,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph419", - "image": "data/cycle/graph_visual/Base/hard/graph419.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (14,20) (12,24) (27,7) (27,21) (14,9) (15,23) (16,10) (5,24) (21,2) (26,3) (29,28) (9,17) (8,7) (6,20) (25,12) (23,12) (0,3) (19,1) (3,8) (7,11) (18,23) (16,8) (4,22) (29,24) (8,13) (14,21) (27,28) (22,9) (2,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph845", - "image": "data/cycle/graph_visual/Base/hard/graph845.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (3,4) (22,15) (18,21) (22,1) (31,0) (16,9) (4,7) (24,7) (31,4) (30,14) (10,27) (6,10) (25,13) (5,32) (7,2) (30,4) (20,2) (21,13) (7,17) (19,10) (7,8) (28,18) (10,3) (5,33) (23,22) (29,18) (5,6) (13,30) (25,11) (5,12) (25,23) (26,14) (9,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph94", - "image": "data/cycle/graph_visual/Base/hard/graph94.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (5,0) (15,18) (6,7) (22,3) (25,23) (22,8) (19,5) (15,9) (3,1) (13,15) (10,3) (20,17) (7,12) (16,10) (21,2) (16,21) (14,4) (20,6) (9,14) (10,11) (15,5) (8,6) (14,8) (21,24) (24,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph604", - "image": "data/cycle/graph_visual/Base/hard/graph604.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (14,7) (19,23) (3,26) (30,17) (14,1) (0,15) (20,25) (7,4) (22,31) (26,22) (20,17) (6,0) (10,29) (10,7) (4,27) (16,10) (19,24) (12,18) (22,2) (18,6) (18,21) (6,4) (11,8) (28,21) (25,24) (13,1) (7,5) (11,14) (2,18) (6,20) (9,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1108", - "image": "data/cycle/graph_visual/Base/hard/graph1108.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (24,17) (19,25) (20,21) (25,2) (16,15) (1,0) (26,10) (8,25) (10,20) (13,25) (4,18) (22,3) (11,18) (26,24) (5,15) (1,16) (9,25) (26,5) (3,18) (13,0) (14,21) (18,21) (12,8) (2,18) (17,7) (6,17) (16,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1089", - "image": "data/cycle/graph_visual/Base/hard/graph1089.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (17,15) (24,20) (2,23) (14,25) (1,7) (3,9) (13,10) (16,8) (23,11) (17,4) (16,14) (23,21) (16,0) (18,15) (12,21) (0,9) (24,17) (22,8) (6,10) (24,22) (6,14) (24,5) (11,19) (1,15) (4,19) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph544", - "image": "data/cycle/graph_visual/Base/hard/graph544.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (29,5) (20,12) (27,7) (19,16) (0,7) (17,3) (24,16) (21,6) (5,2) (20,17) (12,22) (9,11) (29,25) (8,1) (29,26) (8,6) (14,0) (14,23) (30,16) (25,10) (0,13) (18,26) (15,19) (4,2) (26,28) (9,19) (19,26) (12,1) (20,4) (0,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph229", - "image": "data/cycle/graph_visual/Base/hard/graph229.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (21,24) (5,16) (0,16) (4,1) (9,21) (0,26) (23,4) (20,6) (22,27) (10,1) (13,20) (11,24) (11,8) (18,4) (18,3) (23,16) (8,23) (1,20) (12,7) (21,15) (19,22) (19,6) (9,7) (14,26) (6,17) (25,14) (2,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1074", - "image": "data/cycle/graph_visual/Base/hard/graph1074.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (12,3) (19,6) (9,15) (2,0) (25,23) (0,23) (0,1) (20,13) (12,24) (20,3) (21,0) (11,12) (5,22) (15,10) (4,18) (23,20) (7,16) (8,0) (1,11) (2,1) (16,19) (16,5) (18,12) (10,17) (9,13) (0,3) (14,7) (19,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph917", - "image": "data/cycle/graph_visual/Base/hard/graph917.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (26,17) (22,5) (8,31) (33,13) (12,1) (3,10) (13,0) (4,8) (23,7) (16,2) (10,34) (6,23) (26,27) (9,33) (30,28) (24,10) (18,7) (0,15) (25,13) (20,15) (11,24) (24,21) (8,0) (14,15) (22,34) (28,8) (19,30) (10,13) (29,1) (4,29) (17,11) (6,15) (3,16) (32,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph956", - "image": "data/cycle/graph_visual/Base/hard/graph956.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (16,2) (3,33) (26,2) (11,5) (7,19) (14,24) (32,30) (29,0) (19,10) (21,32) (32,27) (9,6) (16,28) (8,5) (30,15) (5,1) (27,12) (25,22) (5,32) (9,11) (19,24) (24,3) (0,31) (34,17) (14,2) (34,25) (29,14) (34,12) (20,23) (13,22) (12,4) (5,14) (27,20) (18,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1135", - "image": "data/cycle/graph_visual/Base/hard/graph1135.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (19,11) (20,8) (10,2) (5,0) (18,24) (6,23) (1,26) (13,17) (7,22) (9,24) (10,20) (20,14) (15,16) (0,1) (12,15) (0,24) (11,3) (17,4) (1,6) (18,6) (16,9) (19,2) (22,13) (3,7) (18,8) (25,0) (21,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1418", - "image": "data/cycle/graph_visual/Base/hard/graph1418.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (17,27) (29,16) (10,3) (27,28) (12,25) (18,11) (24,13) (24,7) (24,21) (10,14) (15,27) (18,21) (19,18) (24,14) (23,21) (17,7) (26,4) (0,2) (6,7) (1,0) (7,22) (0,3) (6,0) (11,20) (17,12) (8,28) (29,19) (1,22) (3,5) (6,9) (19,2) (26,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1535", - "image": "data/cycle/graph_visual/Base/hard/graph1535.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (5,26) (23,1) (28,7) (23,14) (6,14) (27,11) (8,28) (22,29) (25,29) (15,29) (16,18) (3,27) (19,2) (8,4) (23,19) (13,15) (5,30) (0,27) (0,21) (24,1) (2,0) (6,9) (14,20) (10,16) (4,29) (23,28) (22,12) (0,1) (23,11) (17,22) (11,16) (5,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph350", - "image": "data/cycle/graph_visual/Base/hard/graph350.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (20,13) (12,20) (18,1) (27,28) (5,14) (27,23) (21,5) (13,5) (19,6) (21,18) (2,11) (6,26) (19,1) (12,25) (27,0) (27,3) (21,17) (9,24) (23,15) (25,23) (2,7) (1,4) (16,25) (27,22) (19,8) (10,2) (26,11) (9,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1320", - "image": "data/cycle/graph_visual/Base/hard/graph1320.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (28,26) (1,8) (25,3) (13,16) (12,22) (7,10) (10,6) (14,23) (8,14) (0,4) (7,9) (2,0) (0,1) (19,5) (2,3) (5,22) (25,16) (2,23) (20,6) (9,26) (15,14) (24,11) (11,13) (1,21) (18,24) (17,27) (17,3) (0,3) (12,23) (4,14) (20,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph89", - "image": "data/cycle/graph_visual/Base/hard/graph89.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (2,0) (3,5) (11,17) (24,5) (18,12) (2,20) (23,14) (12,17) (24,8) (25,9) (22,24) (25,3) (10,9) (15,19) (7,16) (15,4) (1,23) (9,21) (3,13) (8,11) (7,6) (1,7) (2,4) (0,12) (17,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph302", - "image": "data/cycle/graph_visual/Base/hard/graph302.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (18,23) (22,2) (27,25) (3,12) (16,27) (9,26) (20,9) (23,12) (23,21) (17,6) (24,28) (11,0) (14,13) (3,26) (20,19) (3,16) (4,24) (24,0) (28,14) (25,1) (15,2) (5,0) (10,8) (22,26) (13,26) (17,16) (23,10) (7,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph529", - "image": "data/cycle/graph_visual/Base/hard/graph529.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (25,23) (25,17) (9,3) (29,24) (28,14) (0,13) (7,8) (25,20) (2,21) (27,5) (12,1) (8,16) (28,10) (7,1) (18,9) (21,27) (4,5) (9,6) (15,14) (28,0) (19,10) (7,20) (11,4) (28,25) (13,30) (2,29) (22,1) (4,12) (27,26) (18,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph347", - "image": "data/cycle/graph_visual/Base/hard/graph347.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (13,12) (1,9) (0,6) (23,7) (25,20) (4,28) (14,6) (3,18) (2,7) (25,5) (1,5) (23,11) (26,22) (16,26) (18,19) (24,8) (27,4) (15,21) (27,13) (16,15) (1,11) (2,10) (14,26) (13,1) (8,20) (17,15) (10,15) (18,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1030", - "image": "data/cycle/graph_visual/Base/hard/graph1030.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (13,14) (21,8) (25,9) (10,4) (13,0) (11,24) (10,15) (17,20) (6,25) (1,0) (2,3) (22,5) (21,7) (15,18) (6,13) (1,23) (18,14) (19,3) (3,4) (5,0) (12,4) (2,24) (23,13) (16,8) (21,18) (10,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1586", - "image": "data/cycle/graph_visual/Base/hard/graph1586.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (22,17) (11,9) (28,0) (11,15) (25,16) (12,7) (13,2) (3,24) (0,1) (7,0) (3,29) (13,23) (5,9) (18,22) (6,9) (23,26) (16,1) (8,21) (25,4) (12,26) (27,30) (29,16) (8,27) (10,25) (24,5) (21,17) (22,19) (2,0) (14,30) (20,27) (13,8) (10,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph142", - "image": "data/cycle/graph_visual/Base/hard/graph142.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (0,23) (9,1) (3,14) (24,13) (20,25) (10,22) (5,22) (11,8) (21,3) (11,18) (16,0) (11,19) (9,21) (19,15) (17,19) (4,14) (6,24) (18,25) (13,12) (26,12) (2,1) (13,16) (4,7) (14,19) (15,22) (17,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1556", - "image": "data/cycle/graph_visual/Base/hard/graph1556.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (29,12) (10,21) (27,23) (8,15) (18,19) (5,11) (15,13) (0,4) (17,20) (0,23) (30,3) (7,13) (2,0) (17,14) (4,22) (25,24) (1,0) (18,7) (21,27) (24,29) (23,8) (16,22) (14,10) (5,17) (25,3) (3,0) (28,11) (14,1) (3,16) (26,19) (30,2) (23,6) (20,24) (9,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph109", - "image": "data/cycle/graph_visual/Base/hard/graph109.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (13,9) (2,11) (0,19) (0,20) (22,2) (24,12) (25,5) (10,5) (12,14) (10,9) (6,7) (20,10) (11,15) (16,0) (6,25) (1,15) (25,17) (22,18) (5,3) (11,23) (17,4) (21,15) (10,14) (2,26) (8,10) (16,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph200", - "image": "data/cycle/graph_visual/Base/hard/graph200.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (23,13) (7,25) (21,19) (27,6) (3,21) (8,6) (5,20) (6,26) (14,4) (7,23) (0,23) (10,19) (24,17) (15,1) (1,12) (17,11) (16,19) (2,6) (22,13) (5,16) (13,9) (22,27) (23,1) (20,13) (24,21) (18,15) (24,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1494", - "image": "data/cycle/graph_visual/Base/hard/graph1494.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (8,27) (0,24) (11,14) (22,3) (9,11) (29,3) (0,7) (13,23) (1,16) (1,0) (16,28) (9,6) (13,8) (17,19) (22,15) (5,9) (25,16) (20,10) (27,20) (26,12) (7,12) (4,25) (21,17) (10,25) (2,13) (18,22) (27,29) (24,5) (26,23) (21,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph900", - "image": "data/cycle/graph_visual/Base/hard/graph900.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (0,33) (27,17) (11,28) (27,23) (13,32) (22,34) (24,16) (5,26) (2,33) (9,3) (34,4) (15,18) (4,26) (19,28) (8,2) (31,0) (6,14) (1,5) (10,23) (32,23) (0,32) (18,24) (21,4) (30,26) (23,18) (23,4) (29,6) (25,27) (2,28) (7,32) (13,29) (12,33) (3,5) (20,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph568", - "image": "data/cycle/graph_visual/Base/hard/graph568.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (6,17) (8,12) (0,1) (17,25) (7,14) (5,20) (28,2) (18,13) (3,24) (2,6) (1,13) (16,7) (7,8) (22,6) (18,27) (16,19) (29,7) (23,11) (9,3) (22,20) (4,15) (3,21) (20,30) (17,0) (26,2) (0,10) (23,28) (21,23) (19,0) (23,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1258", - "image": "data/cycle/graph_visual/Base/hard/graph1258.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (2,0) (17,21) (23,2) (20,23) (11,8) (22,3) (0,1) (0,20) (18,27) (12,24) (26,11) (2,26) (1,15) (5,12) (9,6) (17,10) (16,8) (2,14) (9,13) (7,15) (8,10) (26,15) (8,4) (3,0) (5,7) (26,19) (25,7) (6,2) (22,26) (18,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1779", - "image": "data/cycle/graph_visual/Base/hard/graph1779.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (32,9) (29,14) (1,0) (31,14) (14,32) (8,26) (13,14) (20,0) (4,21) (29,17) (10,0) (22,10) (9,24) (18,27) (23,30) (3,20) (1,12) (28,14) (27,4) (26,7) (14,6) (5,12) (30,8) (14,16) (27,30) (22,7) (2,0) (7,19) (28,25) (0,24) (2,6) (29,11) (24,15) (22,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1", - "image": "data/cycle/graph_visual/Base/hard/graph1.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (20,14) (9,11) (9,18) (17,1) (25,14) (8,14) (13,9) (2,18) (0,3) (6,5) (0,15) (25,6) (7,23) (23,8) (6,16) (6,4) (20,10) (24,19) (19,13) (11,12) (21,12) (6,1) (25,22) (15,6) (18,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph536", - "image": "data/cycle/graph_visual/Base/hard/graph536.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (17,1) (30,21) (29,6) (26,24) (15,14) (9,22) (21,0) (14,4) (27,9) (15,7) (0,1) (28,2) (19,7) (23,24) (1,16) (9,20) (8,12) (13,18) (5,30) (11,3) (6,11) (10,2) (10,25) (26,14) (7,10) (13,26) (17,25) (12,9) (9,7) (29,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1761", - "image": "data/cycle/graph_visual/Base/hard/graph1761.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (0,1) (26,9) (2,0) (16,8) (1,19) (3,1) (20,7) (32,23) (2,23) (18,24) (27,23) (6,31) (9,27) (10,1) (29,32) (30,11) (32,15) (16,25) (14,15) (9,24) (11,27) (4,14) (22,6) (3,0) (8,28) (5,32) (13,18) (14,31) (23,10) (0,4) (24,8) (27,17) (25,21) (12,30) (20,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph951", - "image": "data/cycle/graph_visual/Base/hard/graph951.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (12,30) (23,32) (21,16) (30,34) (21,17) (3,18) (29,8) (33,14) (7,8) (7,31) (14,6) (29,4) (9,28) (5,32) (27,10) (12,24) (14,25) (10,33) (29,11) (1,18) (8,22) (25,28) (28,30) (22,23) (26,2) (20,4) (16,7) (28,15) (19,14) (27,18) (14,23) (0,26) (13,33) (2,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph469", - "image": "data/cycle/graph_visual/Base/hard/graph469.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (28,25) (18,3) (19,10) (28,20) (7,4) (12,0) (2,7) (21,17) (14,5) (25,11) (20,22) (23,29) (29,13) (23,21) (2,26) (24,11) (4,9) (22,16) (8,7) (14,15) (3,23) (5,19) (13,28) (0,19) (29,6) (29,5) (1,10) (1,8) (27,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1158", - "image": "data/cycle/graph_visual/Base/hard/graph1158.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (24,6) (22,2) (4,8) (17,25) (2,26) (14,3) (18,6) (10,12) (4,11) (7,2) (0,1) (9,5) (20,16) (1,12) (14,1) (25,15) (0,15) (2,0) (19,6) (3,0) (13,1) (6,15) (25,20) (1,23) (9,11) (26,20) (5,21) (13,4) (9,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1919", - "image": "data/cycle/graph_visual/Base/hard/graph1919.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (6,33) (34,12) (0,3) (2,12) (28,6) (0,23) (30,27) (27,22) (5,0) (15,16) (3,13) (14,0) (18,1) (16,20) (31,22) (5,16) (16,27) (14,10) (22,21) (1,0) (23,26) (27,29) (8,1) (9,12) (0,20) (4,18) (11,24) (4,29) (25,32) (11,1) (17,4) (24,7) (25,6) (0,2) (17,19) (32,19) (13,25) (0,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1676", - "image": "data/cycle/graph_visual/Base/hard/graph1676.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (28,12) (16,20) (8,22) (20,21) (25,27) (0,2) (6,27) (10,18) (30,26) (22,12) (17,6) (15,26) (20,19) (1,6) (9,16) (29,24) (16,14) (18,17) (23,4) (4,24) (3,0) (13,6) (31,25) (6,4) (7,12) (7,2) (0,1) (25,5) (12,3) (9,11) (1,26) (1,19) (29,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph157", - "image": "data/cycle/graph_visual/Base/hard/graph157.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (19,24) (9,10) (15,12) (22,26) (26,21) (8,17) (10,6) (10,0) (25,23) (12,16) (20,24) (11,23) (15,26) (9,21) (14,4) (3,14) (7,9) (21,14) (1,16) (11,7) (0,17) (0,19) (13,17) (5,18) (5,4) (26,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph908", - "image": "data/cycle/graph_visual/Base/hard/graph908.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (2,10) (16,2) (32,33) (30,6) (28,9) (21,19) (33,27) (27,29) (26,31) (34,23) (20,17) (30,19) (1,32) (26,3) (24,23) (10,22) (14,25) (34,6) (0,15) (14,5) (31,15) (20,18) (17,21) (25,22) (29,12) (23,4) (5,33) (24,0) (13,23) (30,9) (27,7) (8,6) (11,4) (9,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph698", - "image": "data/cycle/graph_visual/Base/hard/graph698.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (16,8) (17,14) (15,4) (29,18) (27,1) (12,0) (28,8) (14,7) (29,15) (8,12) (4,6) (0,31) (30,11) (5,11) (3,8) (26,19) (25,12) (22,13) (23,10) (17,11) (28,14) (9,13) (26,6) (1,26) (20,8) (21,13) (9,25) (10,8) (26,20) (2,7) (24,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1750", - "image": "data/cycle/graph_visual/Base/hard/graph1750.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (9,1) (6,16) (24,0) (23,13) (6,30) (9,30) (0,15) (10,22) (29,27) (28,9) (20,17) (15,27) (3,26) (8,6) (4,11) (23,4) (21,17) (2,18) (27,7) (5,31) (12,29) (25,14) (26,25) (5,14) (24,23) (2,0) (1,0) (21,19) (32,16) (20,22) (2,10) (19,30) (31,1) (23,32)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1601", - "image": "data/cycle/graph_visual/Base/hard/graph1601.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (20,22) (25,14) (1,0) (5,31) (21,19) (30,6) (30,9) (10,22) (14,5) (12,29) (6,16) (27,7) (26,25) (0,24) (4,11) (27,15) (10,2) (0,15) (6,8) (23,24) (9,1) (23,13) (2,18) (0,2) (30,19) (4,23) (16,31) (9,28) (17,20) (27,29) (17,21) (1,23) (26,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph34", - "image": "data/cycle/graph_visual/Base/hard/graph34.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (4,3) (1,3) (12,5) (13,25) (20,16) (17,8) (0,6) (4,22) (19,6) (21,6) (4,7) (14,17) (22,10) (7,15) (18,13) (19,9) (6,24) (6,20) (11,5) (2,23) (14,24) (5,4) (23,12) (4,19) (13,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph87", - "image": "data/cycle/graph_visual/Base/hard/graph87.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (2,0) (24,21) (8,24) (12,25) (17,10) (1,23) (10,3) (14,4) (25,19) (19,7) (1,13) (5,13) (23,14) (4,8) (11,16) (22,23) (17,16) (20,1) (24,9) (15,21) (11,2) (6,3) (20,17) (16,7) (1,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1478", - "image": "data/cycle/graph_visual/Base/hard/graph1478.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (3,18) (7,19) (1,0) (7,4) (6,26) (8,2) (27,8) (11,10) (26,25) (3,9) (16,0) (6,10) (17,20) (12,7) (22,17) (15,28) (21,20) (26,14) (24,27) (26,0) (16,21) (23,19) (0,3) (0,2) (8,0) (17,4) (5,25) (6,29) (5,15) (15,9) (13,6) (1,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph945", - "image": "data/cycle/graph_visual/Base/hard/graph945.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (8,34) (17,24) (28,11) (32,27) (31,7) (25,15) (18,22) (26,13) (28,7) (4,31) (1,16) (1,33) (10,29) (8,18) (2,31) (14,20) (32,22) (9,13) (28,16) (24,23) (4,25) (7,0) (8,12) (3,18) (15,26) (28,24) (4,8) (17,20) (5,2) (5,6) (29,20) (6,30) (6,19) (9,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1382", - "image": "data/cycle/graph_visual/Base/hard/graph1382.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (3,17) (25,4) (14,26) (1,9) (8,27) (13,9) (5,23) (24,15) (10,7) (22,25) (23,3) (19,17) (26,21) (25,7) (0,2) (9,8) (27,2) (25,18) (14,12) (6,13) (4,16) (22,11) (27,20) (28,5) (0,3) (1,0) (23,11) (16,14) (2,22) (15,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph800", - "image": "data/cycle/graph_visual/Base/hard/graph800.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (0,23) (33,10) (18,30) (11,4) (13,9) (19,32) (23,25) (27,0) (2,33) (16,1) (24,30) (1,2) (6,20) (12,18) (29,12) (5,21) (15,31) (4,13) (19,9) (31,0) (17,6) (7,21) (3,33) (28,12) (33,8) (20,21) (31,2) (3,22) (32,7) (28,5) (26,8) (7,10) (15,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1681", - "image": "data/cycle/graph_visual/Base/hard/graph1681.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (17,28) (4,29) (8,18) (9,12) (3,1) (31,9) (7,27) (25,6) (25,30) (29,7) (2,13) (5,25) (18,21) (3,19) (1,2) (26,29) (30,4) (21,28) (0,2) (23,9) (14,11) (8,1) (17,9) (4,15) (27,14) (5,20) (5,0) (2,10) (14,21) (0,3) (4,0) (24,23) (0,1) (20,16) (30,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1975", - "image": "data/cycle/graph_visual/Base/hard/graph1975.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (1,29) (18,6) (29,22) (2,0) (23,5) (26,14) (13,34) (27,10) (21,2) (12,17) (27,28) (24,4) (3,7) (28,30) (3,0) (10,31) (0,21) (1,0) (32,20) (15,10) (5,17) (9,23) (5,26) (10,29) (8,16) (4,32) (8,32) (15,3) (8,7) (18,13) (33,14) (17,13) (11,19) (2,24) (21,25) (0,11) (24,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1120", - "image": "data/cycle/graph_visual/Base/hard/graph1120.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (18,25) (20,17) (12,0) (25,16) (1,0) (23,22) (11,21) (8,15) (20,3) (24,19) (20,24) (2,13) (14,6) (15,1) (12,9) (7,19) (4,20) (25,24) (6,26) (26,22) (8,22) (21,6) (4,2) (17,10) (6,0) (3,5) (14,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1572", - "image": "data/cycle/graph_visual/Base/hard/graph1572.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (19,6) (4,18) (7,13) (3,0) (5,26) (27,12) (14,24) (2,7) (2,3) (9,4) (5,16) (13,0) (4,0) (0,6) (22,15) (6,29) (4,19) (10,17) (0,2) (23,8) (17,7) (24,6) (11,19) (25,4) (30,3) (21,20) (28,4) (12,5) (14,20) (1,3) (0,1) (23,6) (22,13) (26,30)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph847", - "image": "data/cycle/graph_visual/Base/hard/graph847.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (25,27) (18,28) (17,5) (20,14) (33,3) (29,14) (5,1) (19,29) (11,16) (18,12) (24,19) (32,10) (20,22) (30,9) (7,25) (17,13) (33,13) (8,17) (26,25) (4,15) (22,16) (10,9) (21,1) (16,23) (10,0) (17,31) (23,33) (28,16) (2,6) (4,0) (7,4) (6,15) (7,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1398", - "image": "data/cycle/graph_visual/Base/hard/graph1398.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (8,10) (27,16) (27,25) (9,26) (14,13) (0,5) (24,28) (4,24) (0,1) (24,0) (25,1) (0,4) (21,23) (26,3) (26,7) (17,6) (2,22) (15,2) (12,23) (2,0) (17,16) (16,3) (20,9) (12,3) (23,18) (0,11) (10,23) (20,19) (26,13) (14,28) (0,3) (26,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1559", - "image": "data/cycle/graph_visual/Base/hard/graph1559.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (9,16) (18,8) (22,7) (24,9) (5,27) (3,7) (2,10) (18,24) (24,0) (6,18) (13,26) (0,28) (1,6) (11,19) (15,20) (0,14) (10,20) (1,0) (30,29) (27,6) (29,1) (25,17) (2,19) (29,17) (21,15) (12,17) (13,22) (11,3) (2,0) (4,30) (20,8) (23,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph579", - "image": "data/cycle/graph_visual/Base/hard/graph579.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (18,2) (9,18) (6,14) (18,19) (13,15) (22,12) (27,0) (16,6) (8,13) (30,17) (25,8) (23,16) (24,26) (10,15) (0,3) (3,4) (9,21) (17,15) (11,17) (14,5) (3,14) (12,16) (5,20) (28,11) (2,15) (0,13) (13,29) (24,27) (16,7) (8,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1730", - "image": "data/cycle/graph_visual/Base/hard/graph1730.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (2,17) (21,23) (5,3) (20,29) (2,1) (18,25) (24,30) (11,10) (23,29) (27,24) (20,11) (14,1) (22,28) (4,5) (19,32) (2,12) (15,14) (20,32) (23,5) (15,31) (28,23) (10,27) (17,26) (6,10) (3,0) (25,32) (11,1) (19,7) (16,8) (0,2) (9,13) (0,1) (27,16) (13,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph844", - "image": "data/cycle/graph_visual/Base/hard/graph844.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (16,9) (28,18) (12,5) (6,10) (33,5) (31,4) (13,30) (21,13) (22,23) (0,31) (5,32) (2,20) (13,25) (4,30) (4,7) (4,3) (25,11) (23,25) (27,10) (15,22) (2,7) (14,26) (7,17) (21,18) (24,7) (5,6) (10,19) (18,29) (30,14) (7,8) (22,1) (3,10) (9,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1000", - "image": "data/cycle/graph_visual/Base/hard/graph1000.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (24,25) (22,15) (6,4) (0,1) (9,4) (5,2) (11,15) (14,1) (13,23) (16,1) (17,24) (1,10) (20,16) (7,9) (22,8) (3,18) (10,21) (10,3) (19,0) (12,0) (11,19) (7,15) (17,0) (25,23) (6,2) (16,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1899", - "image": "data/cycle/graph_visual/Base/hard/graph1899.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (29,10) (31,2) (1,0) (9,3) (31,17) (12,16) (8,13) (12,13) (21,19) (25,11) (21,2) (12,28) (6,22) (5,2) (4,31) (30,12) (3,30) (8,32) (1,22) (24,19) (26,33) (27,0) (14,18) (23,22) (18,25) (25,10) (7,26) (20,2) (32,17) (12,26) (24,0) (4,15) (11,32) (23,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph786", - "image": "data/cycle/graph_visual/Base/hard/graph786.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (8,30) (28,18) (0,7) (10,26) (9,26) (32,22) (16,22) (7,18) (5,15) (2,11) (17,8) (20,16) (16,14) (9,17) (19,2) (4,26) (30,24) (1,4) (11,20) (23,21) (17,6) (19,5) (31,12) (21,1) (4,27) (4,29) (19,7) (9,3) (31,13) (27,13) (25,0) (3,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1709", - "image": "data/cycle/graph_visual/Base/hard/graph1709.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (28,29) (10,19) (15,21) (30,22) (2,3) (17,10) (8,6) (17,5) (4,27) (18,1) (20,10) (1,10) (24,10) (11,31) (14,9) (32,9) (25,7) (13,4) (1,0) (26,21) (10,11) (26,23) (12,10) (27,23) (16,3) (6,30) (2,26) (11,14) (7,9) (26,0) (2,17) (14,30) (29,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph288", - "image": "data/cycle/graph_visual/Base/hard/graph288.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (10,5) (22,1) (9,23) (5,6) (14,27) (4,25) (26,7) (14,25) (21,9) (22,2) (24,22) (4,18) (23,26) (3,12) (19,22) (13,6) (14,0) (2,16) (24,0) (23,20) (27,20) (15,21) (18,8) (11,6) (5,21) (17,24) (5,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph753", - "image": "data/cycle/graph_visual/Base/hard/graph753.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (29,20) (32,20) (32,25) (6,10) (0,3) (13,9) (11,20) (11,10) (2,1) (23,28) (10,13) (17,2) (18,25) (3,5) (5,23) (16,8) (30,24) (4,5) (1,14) (32,19) (31,15) (19,7) (10,27) (24,27) (22,28) (27,16) (14,15) (17,26) (23,29) (12,2) (23,21) (1,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph878", - "image": "data/cycle/graph_visual/Base/hard/graph878.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (31,0) (33,4) (4,26) (24,27) (33,12) (21,4) (8,2) (32,23) (4,23) (32,0) (3,5) (27,2) (23,10) (26,29) (7,32) (18,22) (26,5) (18,15) (23,25) (20,9) (27,17) (13,28) (11,28) (2,33) (13,32) (6,29) (30,0) (16,24) (3,9) (14,6) (18,23) (28,19) (1,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph818", - "image": "data/cycle/graph_visual/Base/hard/graph818.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (14,19) (16,3) (20,7) (24,10) (12,9) (17,29) (29,1) (11,9) (17,24) (11,4) (19,13) (13,3) (18,32) (27,7) (14,21) (10,7) (25,6) (13,25) (27,15) (22,8) (31,21) (28,5) (29,25) (26,23) (9,0) (2,29) (33,7) (29,5) (13,26) (30,16) (11,32) (12,22) (22,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1094", - "image": "data/cycle/graph_visual/Base/hard/graph1094.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (4,0) (1,4) (22,14) (11,19) (3,22) (9,18) (24,15) (18,10) (18,12) (9,13) (8,9) (21,7) (6,15) (20,25) (2,17) (23,17) (1,0) (0,3) (8,11) (0,2) (5,2) (21,25) (15,8) (6,0) (20,16) (23,4) (18,14) (1,21) (11,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph91", - "image": "data/cycle/graph_visual/Base/hard/graph91.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (9,13) (12,18) (7,21) (25,21) (14,18) (23,4) (4,1) (24,15) (11,19) (10,18) (6,15) (0,6) (5,2) (3,22) (8,9) (20,25) (22,14) (1,21) (8,11) (11,2) (17,23) (18,9) (17,2) (15,8) (16,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph894", - "image": "data/cycle/graph_visual/Base/hard/graph894.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (5,32) (20,27) (21,4) (33,16) (25,10) (14,22) (12,30) (11,19) (17,32) (30,28) (24,0) (19,6) (13,15) (16,25) (22,6) (8,23) (16,2) (6,31) (21,30) (20,13) (28,33) (26,9) (19,9) (4,29) (16,32) (8,18) (18,24) (1,26) (31,7) (8,6) (3,2) (27,22) (13,30)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph206", - "image": "data/cycle/graph_visual/Base/hard/graph206.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (16,13) (3,17) (11,24) (21,1) (5,22) (15,14) (2,3) (6,20) (7,10) (19,5) (23,14) (25,3) (9,7) (23,12) (2,23) (6,10) (1,8) (26,17) (14,4) (16,25) (13,11) (0,4) (8,14) (24,18) (27,9) (22,12) (20,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1146", - "image": "data/cycle/graph_visual/Base/hard/graph1146.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (10,26) (1,24) (0,20) (1,0) (2,22) (18,9) (3,2) (7,25) (19,14) (23,4) (21,18) (13,12) (15,26) (7,19) (9,13) (14,8) (2,17) (4,11) (6,23) (11,16) (0,2) (9,5) (0,14) (8,6) (0,3) (22,15) (24,0) (12,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1744", - "image": "data/cycle/graph_visual/Base/hard/graph1744.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (1,17) (22,18) (2,16) (3,20) (24,29) (0,3) (25,0) (23,15) (16,31) (8,15) (31,1) (5,7) (12,27) (10,12) (7,19) (21,11) (0,17) (14,13) (11,24) (32,28) (5,32) (4,12) (21,20) (4,5) (11,26) (1,0) (30,13) (14,12) (0,2) (9,32) (18,30) (30,16) (7,20) (15,9) (12,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1401", - "image": "data/cycle/graph_visual/Base/hard/graph1401.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (26,24) (10,17) (0,21) (26,16) (25,29) (29,9) (27,13) (2,19) (11,7) (15,25) (8,10) (1,0) (14,23) (10,16) (3,0) (25,19) (18,14) (13,22) (28,17) (18,13) (17,21) (11,29) (1,4) (6,5) (25,3) (0,2) (12,27) (25,17) (26,14) (20,27) (5,2) (3,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph96", - "image": "data/cycle/graph_visual/Base/hard/graph96.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (20,12) (21,18) (10,23) (8,9) (13,20) (19,1) (25,12) (9,17) (23,16) (6,22) (23,24) (5,21) (19,6) (19,8) (25,14) (3,2) (18,1) (4,2) (1,0) (2,11) (15,21) (11,16) (25,11) (7,5) (5,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1814", - "image": "data/cycle/graph_visual/Base/hard/graph1814.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (16,30) (20,3) (2,16) (20,21) (13,14) (33,12) (6,12) (22,18) (5,4) (29,24) (7,19) (13,30) (9,32) (16,31) (27,12) (10,12) (18,30) (24,11) (8,15) (15,9) (11,26) (0,25) (1,0) (23,15) (4,32) (31,1) (32,28) (20,7) (2,0) (5,7) (1,17) (14,12) (5,12) (17,0) (21,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph19", - "image": "data/cycle/graph_visual/Base/hard/graph19.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (11,14) (16,9) (14,23) (3,8) (17,0) (13,20) (13,11) (11,25) (8,19) (9,5) (13,9) (3,4) (8,17) (25,24) (0,7) (18,19) (23,0) (0,21) (1,17) (15,12) (2,5) (15,11) (6,13) (21,10) (13,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1672", - "image": "data/cycle/graph_visual/Base/hard/graph1672.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (13,9) (27,23) (15,10) (29,5) (0,1) (11,28) (11,21) (8,5) (30,20) (6,11) (18,5) (5,30) (29,9) (22,12) (2,25) (12,26) (7,14) (23,24) (21,5) (13,26) (12,4) (31,19) (14,8) (31,0) (16,24) (0,17) (24,3) (2,17) (24,13) (25,20) (15,16) (25,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph124", - "image": "data/cycle/graph_visual/Base/hard/graph124.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (0,24) (6,23) (4,11) (26,10) (0,14) (21,18) (22,15) (23,4) (7,25) (9,18) (2,22) (20,0) (9,5) (17,2) (7,19) (11,16) (6,8) (26,15) (16,12) (2,3) (9,13) (13,12) (0,3) (14,19) (1,24) (14,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1978", - "image": "data/cycle/graph_visual/Base/hard/graph1978.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (16,33) (2,9) (23,31) (13,6) (13,3) (14,25) (29,32) (28,22) (34,24) (0,4) (19,5) (29,18) (18,9) (3,0) (34,16) (12,17) (27,21) (19,30) (27,22) (12,9) (27,8) (6,12) (11,26) (20,24) (1,0) (15,11) (21,26) (3,23) (11,30) (25,0) (6,4) (23,11) (9,33) (10,2) (15,0) (2,0) (12,1) (16,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1228", - "image": "data/cycle/graph_visual/Base/hard/graph1228.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (24,19) (26,5) (18,12) (18,6) (7,17) (1,10) (22,25) (8,25) (17,9) (3,23) (15,5) (13,0) (27,1) (0,1) (25,11) (10,20) (13,8) (17,21) (0,2) (18,21) (26,25) (20,21) (18,3) (15,16) (18,2) (16,4) (2,26) (14,25) (24,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph843", - "image": "data/cycle/graph_visual/Base/hard/graph843.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (32,26) (1,17) (25,5) (25,13) (31,5) (4,24) (31,28) (7,24) (6,33) (3,23) (2,5) (0,14) (31,14) (9,8) (30,26) (22,31) (15,8) (20,1) (16,6) (10,12) (33,17) (1,14) (29,12) (23,29) (11,2) (30,24) (8,18) (13,19) (25,12) (15,32) (27,24) (29,21) (16,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1096", - "image": "data/cycle/graph_visual/Base/hard/graph1096.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (7,17) (17,21) (23,3) (2,18) (5,2) (5,15) (25,11) (18,3) (8,13) (24,19) (12,18) (18,21) (16,24) (0,13) (4,16) (25,1) (20,21) (18,6) (1,10) (8,25) (9,17) (25,22) (15,16) (14,25) (10,20) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph697", - "image": "data/cycle/graph_visual/Base/hard/graph697.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (30,9) (21,13) (17,11) (31,21) (7,17) (16,20) (28,7) (15,24) (11,14) (0,26) (9,12) (23,6) (29,5) (4,7) (19,2) (26,21) (1,18) (20,25) (26,19) (19,4) (3,25) (13,27) (30,5) (16,23) (1,15) (8,24) (8,12) (22,26) (26,9) (8,3) (18,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph12", - "image": "data/cycle/graph_visual/Base/hard/graph12.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (9,16) (15,1) (4,22) (2,6) (19,4) (11,20) (18,21) (23,13) (14,22) (12,8) (5,7) (0,6) (5,16) (12,24) (0,17) (8,23) (1,0) (1,25) (11,25) (22,11) (10,14) (10,3) (11,8) (7,21) (7,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1364", - "image": "data/cycle/graph_visual/Base/hard/graph1364.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (13,25) (10,23) (2,0) (0,3) (28,2) (28,22) (10,26) (5,27) (16,4) (17,27) (3,9) (1,0) (2,7) (14,11) (26,7) (7,9) (17,21) (14,12) (22,19) (20,24) (18,16) (17,14) (15,19) (13,0) (9,1) (6,8) (13,28) (20,6) (4,0) (14,16) (14,8) (15,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph286", - "image": "data/cycle/graph_visual/Base/hard/graph286.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (8,6) (15,9) (15,13) (11,10) (10,3) (4,14) (7,6) (23,6) (15,18) (27,5) (5,25) (14,9) (21,16) (19,5) (25,24) (24,21) (27,26) (7,12) (2,21) (22,8) (15,20) (22,3) (1,3) (17,20) (14,8) (10,16) (0,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1077", - "image": "data/cycle/graph_visual/Base/hard/graph1077.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (5,15) (3,10) (2,21) (0,2) (11,10) (8,14) (20,6) (12,7) (5,0) (0,3) (25,23) (15,18) (22,3) (14,4) (14,9) (20,17) (24,25) (6,7) (15,13) (1,0) (24,21) (1,3) (5,19) (8,6) (10,16) (8,22) (9,15) (21,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph348", - "image": "data/cycle/graph_visual/Base/hard/graph348.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (16,17) (19,22) (5,4) (26,21) (15,3) (16,14) (0,17) (27,17) (13,5) (9,12) (20,15) (7,20) (6,7) (16,24) (8,17) (27,28) (18,6) (10,1) (13,23) (25,9) (17,11) (24,22) (25,4) (4,2) (27,25) (10,22) (21,3) (24,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph440", - "image": "data/cycle/graph_visual/Base/hard/graph440.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (6,0) (29,26) (9,14) (4,24) (28,27) (27,3) (22,8) (12,27) (2,12) (7,26) (16,20) (3,18) (9,1) (18,25) (24,20) (10,26) (13,24) (26,23) (18,9) (1,15) (15,17) (18,21) (23,21) (27,19) (13,3) (6,29) (29,5) (8,1) (11,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1017", - "image": "data/cycle/graph_visual/Base/hard/graph1017.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (7,8) (21,5) (18,9) (2,22) (21,2) (7,20) (13,0) (6,9) (0,3) (18,15) (4,11) (0,2) (17,25) (1,0) (12,1) (7,1) (1,10) (9,3) (24,25) (25,19) (16,8) (4,12) (10,14) (15,14) (23,0) (25,20) (5,4) (13,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph309", - "image": "data/cycle/graph_visual/Base/hard/graph309.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (5,13) (10,11) (6,3) (4,2) (16,7) (26,22) (19,11) (15,20) (27,9) (4,1) (17,7) (14,5) (13,15) (9,5) (25,22) (6,0) (15,26) (22,11) (14,8) (23,15) (21,4) (11,2) (3,23) (24,0) (28,19) (22,18) (7,23) (19,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1285", - "image": "data/cycle/graph_visual/Base/hard/graph1285.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (5,2) (12,27) (2,0) (19,22) (12,5) (21,4) (23,11) (26,25) (23,16) (21,8) (7,6) (26,14) (25,11) (0,4) (1,0) (8,7) (3,0) (27,6) (21,3) (18,14) (14,17) (14,10) (6,15) (25,13) (25,6) (14,20) (26,19) (18,1) (15,24) (9,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph123", - "image": "data/cycle/graph_visual/Base/hard/graph123.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (5,10) (18,22) (15,21) (25,6) (14,12) (14,10) (26,2) (2,22) (25,17) (7,6) (3,5) (16,0) (15,11) (10,8) (1,15) (22,16) (10,9) (25,5) (10,20) (0,20) (24,12) (2,11) (13,9) (4,17) (23,11) (0,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1280", - "image": "data/cycle/graph_visual/Base/hard/graph1280.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (6,0) (3,18) (22,18) (0,3) (1,15) (3,13) (0,10) (21,18) (26,27) (2,0) (9,1) (8,1) (24,4) (24,27) (13,20) (9,11) (27,6) (7,26) (15,14) (21,23) (12,20) (1,0) (2,12) (8,19) (3,25) (23,26) (17,24) (27,16) (26,5) (9,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1284", - "image": "data/cycle/graph_visual/Base/hard/graph1284.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (13,0) (11,5) (13,20) (14,24) (14,18) (6,21) (0,3) (23,4) (1,0) (23,2) (4,19) (0,6) (5,12) (24,12) (27,7) (6,19) (19,9) (25,4) (2,0) (26,5) (20,17) (4,16) (7,15) (7,13) (3,4) (26,6) (22,10) (8,17) (22,6) (3,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1426", - "image": "data/cycle/graph_visual/Base/hard/graph1426.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (15,9) (27,12) (14,7) (19,26) (25,23) (10,15) (20,28) (24,0) (27,0) (16,29) (19,11) (7,16) (0,3) (3,20) (13,20) (8,0) (28,29) (0,2) (16,5) (12,3) (6,19) (22,12) (0,1) (13,9) (1,11) (17,10) (2,1) (12,11) (28,21) (5,23) (18,26) (18,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1930", - "image": "data/cycle/graph_visual/Base/hard/graph1930.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (4,26) (28,19) (0,1) (24,16) (23,10) (17,27) (33,12) (25,27) (24,18) (29,6) (13,32) (26,30) (34,22) (0,31) (33,2) (23,4) (9,20) (3,0) (2,28) (21,4) (0,2) (5,3) (32,0) (3,9) (5,1) (26,5) (32,7) (34,4) (13,29) (27,23) (14,6) (11,28) (2,8) (23,32) (33,0) (15,18) (18,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1587", - "image": "data/cycle/graph_visual/Base/hard/graph1587.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (7,11) (28,30) (19,9) (13,23) (17,2) (12,1) (28,25) (16,21) (1,0) (19,26) (0,3) (6,15) (2,14) (7,5) (23,19) (13,29) (18,6) (20,8) (23,8) (5,10) (2,30) (3,6) (12,24) (4,7) (12,16) (6,25) (12,0) (27,15) (22,21) (24,4) (0,2) (17,22) (18,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1323", - "image": "data/cycle/graph_visual/Base/hard/graph1323.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (24,16) (12,22) (4,2) (16,19) (18,26) (0,13) (19,15) (1,12) (10,25) (17,3) (7,0) (14,23) (20,12) (5,26) (26,27) (14,0) (20,17) (4,20) (28,16) (8,1) (7,25) (0,1) (0,2) (6,8) (5,2) (19,9) (26,19) (9,11) (21,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1304", - "image": "data/cycle/graph_visual/Base/hard/graph1304.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (25,0) (16,21) (8,2) (28,4) (11,16) (7,19) (3,10) (1,19) (6,2) (2,0) (1,0) (22,27) (13,4) (1,23) (6,19) (17,24) (22,16) (16,5) (0,26) (24,14) (26,11) (15,26) (4,24) (9,25) (16,6) (18,6) (8,20) (0,10) (14,26) (8,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph217", - "image": "data/cycle/graph_visual/Base/hard/graph217.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (23,15) (11,15) (5,24) (24,4) (8,17) (26,21) (19,25) (12,2) (16,4) (11,18) (26,9) (12,25) (12,20) (18,6) (8,25) (4,9) (10,1) (8,1) (14,15) (13,7) (27,0) (13,16) (24,3) (6,16) (17,27) (22,9) (3,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph592", - "image": "data/cycle/graph_visual/Base/hard/graph592.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (8,6) (22,29) (9,13) (16,17) (15,20) (30,29) (12,0) (11,8) (4,15) (23,9) (25,9) (3,14) (24,25) (1,7) (5,24) (5,26) (3,8) (4,2) (17,12) (30,6) (17,11) (2,21) (0,2) (3,26) (10,7) (23,18) (28,24) (27,1) (12,19) (16,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph923", - "image": "data/cycle/graph_visual/Base/hard/graph923.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (2,13) (29,10) (19,3) (32,8) (15,22) (20,6) (12,9) (7,27) (31,10) (9,19) (1,29) (17,16) (6,18) (17,26) (25,17) (30,12) (14,30) (21,31) (12,8) (23,22) (20,5) (29,11) (28,29) (5,16) (2,32) (33,31) (22,31) (27,24) (0,28) (4,3) (24,34) (4,34) (19,1) (26,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1414", - "image": "data/cycle/graph_visual/Base/hard/graph1414.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (7,4) (18,6) (22,21) (0,12) (2,14) (13,27) (19,23) (24,4) (13,23) (16,21) (5,10) (15,6) (7,5) (17,2) (15,26) (18,19) (17,22) (25,6) (6,3) (12,24) (0,1) (23,8) (2,19) (16,12) (12,1) (28,29) (25,28) (11,7) (8,20) (9,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph63", - "image": "data/cycle/graph_visual/Base/hard/graph63.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (12,20) (2,14) (2,17) (16,12) (15,6) (23,13) (7,5) (17,22) (19,9) (21,16) (8,18) (23,8) (0,12) (4,7) (15,24) (3,6) (5,10) (25,19) (22,21) (7,11) (2,19) (24,4) (1,12) (6,13) (19,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph866", - "image": "data/cycle/graph_visual/Base/hard/graph866.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (29,9) (30,5) (24,16) (5,19) (17,0) (27,12) (23,28) (4,12) (15,10) (16,15) (5,32) (5,21) (20,25) (33,31) (14,8) (22,31) (24,23) (11,21) (6,11) (33,0) (13,24) (14,7) (18,33) (30,20) (26,13) (12,26) (1,25) (13,9) (25,2) (24,3) (5,8) (2,17) (29,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1517", - "image": "data/cycle/graph_visual/Base/hard/graph1517.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (6,18) (14,0) (17,2) (15,16) (9,14) (27,1) (4,2) (16,21) (22,30) (15,20) (14,12) (0,1) (25,19) (9,4) (29,5) (24,18) (25,17) (5,3) (22,28) (3,14) (27,8) (24,11) (23,27) (25,26) (19,20) (6,5) (16,27) (13,14) (7,17) (25,28) (0,2) (10,29)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1250", - "image": "data/cycle/graph_visual/Base/hard/graph1250.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (0,7) (2,10) (27,18) (19,12) (15,22) (10,13) (19,14) (2,20) (18,2) (21,22) (22,9) (21,10) (9,6) (11,17) (5,14) (5,26) (27,4) (0,1) (4,23) (27,7) (11,27) (19,0) (2,1) (16,8) (24,3) (4,8) (0,3) (2,0) (0,4) (6,25) (24,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph308", - "image": "data/cycle/graph_visual/Base/hard/graph308.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (1,17) (1,23) (26,8) (10,2) (11,28) (25,22) (18,22) (11,20) (13,9) (24,5) (15,18) (24,18) (4,6) (12,10) (23,25) (3,24) (8,13) (8,20) (14,4) (24,16) (17,0) (25,27) (19,16) (21,27) (10,27) (7,23) (3,11) (4,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1603", - "image": "data/cycle/graph_visual/Base/hard/graph1603.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (23,17) (13,31) (30,0) (3,0) (13,22) (7,26) (19,21) (24,8) (10,14) (25,24) (11,24) (20,16) (1,9) (12,13) (13,4) (8,3) (24,9) (13,16) (11,15) (19,5) (0,4) (6,12) (0,2) (6,14) (29,6) (1,0) (4,18) (26,1) (30,28) (11,28) (4,8) (23,3) (21,1) (15,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1913", - "image": "data/cycle/graph_visual/Base/hard/graph1913.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (30,21) (17,10) (23,28) (20,29) (9,32) (4,0) (26,28) (8,25) (19,22) (32,5) (31,5) (10,16) (26,34) (15,22) (20,22) (14,11) (12,6) (30,31) (5,27) (4,31) (33,23) (19,12) (31,11) (18,13) (0,3) (30,7) (8,7) (15,0) (3,9) (1,34) (1,19) (16,18) (27,2) (0,11) (2,10) (1,0) (0,2) (24,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph990", - "image": "data/cycle/graph_visual/Base/hard/graph990.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (23,16) (31,2) (6,0) (12,34) (7,33) (9,20) (9,2) (18,32) (27,2) (0,15) (16,33) (32,28) (14,21) (29,2) (25,26) (25,21) (24,29) (10,20) (18,34) (13,29) (17,31) (6,33) (11,12) (5,0) (33,31) (34,22) (3,2) (31,4) (18,1) (12,15) (19,23) (9,30) (8,14) (30,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1223", - "image": "data/cycle/graph_visual/Base/hard/graph1223.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (6,0) (12,20) (14,15) (22,18) (21,18) (10,0) (7,26) (2,12) (8,1) (26,27) (3,13) (3,25) (23,21) (23,26) (1,0) (16,27) (5,26) (27,6) (15,1) (8,19) (24,27) (9,11) (18,9) (17,24) (4,24) (9,1) (18,3) (20,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1708", - "image": "data/cycle/graph_visual/Base/hard/graph1708.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (32,0) (21,29) (7,29) (28,12) (3,9) (16,21) (14,11) (31,26) (4,21) (0,11) (12,14) (19,8) (2,12) (27,8) (23,7) (11,25) (8,18) (20,27) (5,11) (0,1) (28,30) (6,0) (28,15) (10,19) (8,24) (7,10) (29,17) (26,20) (14,22) (21,3) (15,9) (25,1) (13,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph379", - "image": "data/cycle/graph_visual/Base/hard/graph379.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (7,10) (8,23) (0,24) (14,21) (18,16) (3,0) (20,5) (21,5) (11,17) (5,4) (15,26) (18,1) (5,27) (14,12) (19,5) (2,6) (16,0) (3,25) (9,13) (15,27) (8,20) (16,15) (2,26) (22,0) (9,28) (7,28) (11,5) (28,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1894", - "image": "data/cycle/graph_visual/Base/hard/graph1894.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (9,19) (24,2) (31,32) (0,1) (28,24) (26,0) (1,14) (18,15) (22,30) (16,20) (9,13) (2,15) (2,21) (18,12) (4,33) (32,3) (2,0) (17,15) (26,10) (14,16) (7,19) (25,21) (11,9) (5,11) (9,30) (4,0) (9,1) (29,23) (0,3) (8,19) (6,19) (8,10) (17,4) (5,27) (6,3) (18,14) (29,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1372", - "image": "data/cycle/graph_visual/Base/hard/graph1372.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (23,12) (27,17) (3,17) (10,6) (16,13) (0,1) (6,20) (1,21) (18,24) (26,28) (0,4) (14,15) (23,2) (14,4) (23,14) (7,9) (3,25) (26,9) (11,24) (14,8) (12,22) (11,13) (1,8) (16,25) (21,20) (5,19) (10,7) (5,22) (2,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph414", - "image": "data/cycle/graph_visual/Base/hard/graph414.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (3,18) (17,15) (29,20) (20,12) (15,23) (29,0) (5,17) (15,12) (11,19) (29,10) (15,22) (8,17) (16,18) (17,27) (19,2) (4,9) (6,22) (8,24) (18,2) (28,26) (11,4) (21,26) (7,25) (20,14) (7,6) (13,15) (7,1) (17,26) (0,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1839", - "image": "data/cycle/graph_visual/Base/hard/graph1839.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (1,27) (8,16) (33,0) (12,8) (14,17) (9,25) (26,6) (3,8) (33,31) (26,19) (13,9) (2,0) (3,0) (1,0) (7,14) (4,15) (28,14) (32,17) (28,8) (21,13) (24,12) (12,25) (20,26) (0,12) (10,23) (7,2) (8,20) (26,1) (13,22) (29,18) (10,8) (11,32) (4,6) (11,5) (30,11) (15,29)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph232", - "image": "data/cycle/graph_visual/Base/hard/graph232.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (10,27) (24,13) (23,13) (17,8) (9,13) (0,12) (16,21) (17,1) (20,9) (9,6) (3,26) (15,11) (7,13) (13,11) (14,26) (25,0) (5,2) (23,0) (22,8) (19,21) (26,19) (0,17) (5,8) (18,15) (14,11) (27,11) (4,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph76", - "image": "data/cycle/graph_visual/Base/hard/graph76.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (14,0) (11,16) (4,9) (25,17) (24,22) (14,9) (4,2) (6,5) (18,12) (24,7) (16,15) (19,20) (15,20) (19,25) (17,2) (21,16) (13,6) (22,25) (8,14) (23,5) (3,14) (14,10) (18,25) (3,5) (1,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1706", - "image": "data/cycle/graph_visual/Base/hard/graph1706.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (25,7) (1,5) (29,19) (0,4) (22,16) (10,31) (4,7) (13,17) (14,20) (28,15) (28,16) (15,3) (1,0) (9,10) (32,24) (2,0) (3,0) (13,24) (27,25) (30,17) (23,16) (7,21) (22,20) (14,29) (2,6) (25,26) (8,16) (19,18) (0,10) (1,21) (12,4) (9,23) (6,17) (18,11) (5,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph964", - "image": "data/cycle/graph_visual/Base/hard/graph964.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (16,33) (14,25) (11,30) (30,19) (0,15) (18,29) (34,16) (24,34) (27,21) (8,27) (12,6) (16,7) (11,23) (20,24) (31,23) (6,13) (17,12) (21,26) (4,6) (15,11) (2,10) (0,25) (27,22) (33,9) (18,9) (9,12) (13,3) (26,11) (2,9) (22,28) (1,12) (23,3) (19,5) (32,29)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1079", - "image": "data/cycle/graph_visual/Base/hard/graph1079.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (4,17) (4,3) (15,25) (15,7) (24,2) (9,6) (3,15) (23,18) (19,5) (21,20) (25,12) (1,22) (6,24) (13,1) (1,0) (3,18) (8,5) (0,4) (9,11) (14,5) (15,13) (21,8) (5,24) (16,10) (17,9) (2,0) (25,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1808", - "image": "data/cycle/graph_visual/Base/hard/graph1808.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (13,25) (27,7) (19,14) (13,3) (5,29) (7,33) (24,17) (4,11) (19,13) (22,12) (32,18) (2,29) (28,5) (31,21) (7,20) (24,10) (16,3) (30,16) (29,1) (11,9) (14,21) (26,13) (15,27) (8,22) (0,1) (10,7) (26,23) (9,12) (9,0) (23,22) (17,29) (25,6) (11,32) (29,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1430", - "image": "data/cycle/graph_visual/Base/hard/graph1430.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (24,17) (2,8) (7,27) (13,14) (0,4) (18,0) (21,12) (1,0) (0,2) (26,24) (7,5) (29,4) (23,17) (12,7) (0,11) (27,10) (1,19) (16,5) (20,17) (28,19) (6,17) (11,22) (16,18) (25,12) (28,8) (12,1) (11,15) (29,26) (22,9) (3,12) (11,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph771", - "image": "data/cycle/graph_visual/Base/hard/graph771.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (29,23) (16,0) (32,21) (9,31) (21,0) (16,26) (7,27) (19,13) (1,11) (22,18) (10,15) (5,15) (12,25) (2,7) (20,11) (19,16) (11,15) (11,14) (21,4) (6,12) (31,8) (30,12) (31,13) (12,15) (20,7) (23,32) (31,12) (28,10) (18,29) (17,30) (24,16) (3,28)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph487", - "image": "data/cycle/graph_visual/Base/hard/graph487.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (15,8) (8,20) (4,14) (2,8) (0,17) (3,21) (27,22) (0,12) (22,26) (19,4) (7,17) (7,28) (16,6) (19,21) (10,5) (21,0) (16,4) (12,18) (25,20) (14,11) (29,10) (15,24) (23,11) (27,19) (21,9) (5,11) (25,14) (13,11) (15,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1631", - "image": "data/cycle/graph_visual/Base/hard/graph1631.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (27,25) (23,27) (8,2) (2,0) (11,28) (23,4) (9,3) (0,30) (28,2) (1,14) (0,29) (4,14) (28,19) (26,5) (0,3) (18,15) (23,18) (24,16) (9,21) (12,6) (22,4) (24,18) (2,13) (23,0) (26,13) (27,17) (5,7) (5,3) (20,31) (29,6) (4,26) (20,1) (10,23) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1777", - "image": "data/cycle/graph_visual/Base/hard/graph1777.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (21,8) (27,20) (0,20) (0,25) (6,0) (9,16) (14,26) (30,16) (28,30) (15,28) (12,21) (13,25) (24,11) (1,19) (23,22) (15,14) (2,23) (22,3) (4,5) (22,21) (12,15) (6,1) (10,32) (29,7) (4,27) (32,27) (2,17) (15,32) (29,22) (1,0) (2,31) (18,26) (0,2) (24,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph247", - "image": "data/cycle/graph_visual/Base/hard/graph247.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (3,14) (8,13) (18,2) (13,11) (5,20) (23,8) (18,9) (15,2) (12,16) (24,25) (0,26) (3,4) (8,1) (16,22) (27,24) (19,18) (12,15) (16,7) (15,10) (17,27) (6,14) (6,16) (17,11) (0,13) (5,14) (0,3) (21,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph103", - "image": "data/cycle/graph_visual/Base/hard/graph103.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (15,5) (6,10) (20,17) (6,13) (10,11) (8,23) (5,25) (19,7) (14,3) (15,9) (4,17) (20,21) (4,7) (24,15) (7,12) (17,18) (6,26) (0,26) (8,0) (25,1) (22,19) (16,0) (21,16) (25,26) (9,3) (8,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph270", - "image": "data/cycle/graph_visual/Base/hard/graph270.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (10,13) (15,16) (22,8) (1,5) (16,9) (9,10) (0,9) (18,4) (12,11) (21,2) (19,4) (16,7) (21,3) (24,3) (25,8) (10,24) (11,16) (6,17) (12,6) (25,1) (23,13) (18,20) (27,0) (3,26) (8,26) (3,14) (8,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph455", - "image": "data/cycle/graph_visual/Base/hard/graph455.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (14,18) (11,22) (19,28) (16,20) (4,1) (15,6) (24,25) (28,15) (20,29) (18,10) (21,7) (8,9) (3,22) (21,1) (18,28) (26,27) (23,4) (2,5) (9,13) (9,26) (12,18) (17,2) (17,23) (14,25) (11,2) (15,8) (21,20) (6,0) (11,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1699", - "image": "data/cycle/graph_visual/Base/hard/graph1699.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (28,17) (26,25) (17,12) (11,29) (0,20) (1,21) (1,26) (14,29) (12,8) (1,27) (4,18) (28,2) (6,24) (5,31) (1,9) (3,22) (23,31) (19,10) (16,24) (8,19) (0,4) (23,13) (2,0) (0,14) (18,22) (3,13) (27,22) (30,23) (1,0) (23,2) (27,15) (5,7) (5,6) (3,0) (13,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1445", - "image": "data/cycle/graph_visual/Base/hard/graph1445.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (0,2) (9,26) (21,7) (15,8) (16,20) (11,8) (0,3) (13,9) (25,14) (18,10) (17,23) (11,2) (2,5) (12,18) (3,22) (2,17) (0,1) (21,1) (11,22) (14,18) (15,28) (29,20) (1,4) (0,6) (8,9) (28,19) (21,20) (24,25) (6,15) (18,28) (23,4) (27,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph319", - "image": "data/cycle/graph_visual/Base/hard/graph319.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (10,27) (0,4) (25,12) (22,11) (2,8) (22,9) (12,21) (20,17) (28,4) (11,13) (11,0) (18,16) (15,11) (5,16) (6,17) (0,18) (28,8) (7,26) (12,3) (24,26) (12,1) (23,17) (7,12) (1,19) (27,19) (13,14) (17,24) (7,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1960", - "image": "data/cycle/graph_visual/Base/hard/graph1960.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (14,20) (18,29) (23,17) (3,0) (14,29) (32,14) (1,11) (15,7) (19,28) (29,34) (13,22) (5,29) (15,10) (21,22) (22,20) (8,2) (26,33) (9,23) (25,17) (16,24) (3,1) (15,12) (13,27) (31,26) (10,2) (4,13) (25,14) (0,6) (30,26) (1,0) (22,16) (32,19) (3,9) (21,7) (0,33) (5,31) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1867", - "image": "data/cycle/graph_visual/Base/hard/graph1867.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (11,1) (21,11) (19,24) (24,23) (3,10) (13,23) (30,22) (25,4) (24,25) (15,14) (33,2) (5,26) (27,31) (28,19) (8,29) (24,22) (18,13) (1,0) (5,0) (31,17) (24,11) (28,7) (29,9) (5,28) (16,13) (29,6) (21,32) (16,10) (15,12) (16,2) (12,23) (27,11) (5,29) (13,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1788", - "image": "data/cycle/graph_visual/Base/hard/graph1788.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (26,10) (15,9) (7,28) (2,4) (1,0) (22,10) (16,6) (1,27) (13,0) (8,23) (6,31) (7,24) (19,32) (29,31) (25,29) (13,20) (20,30) (19,3) (23,1) (18,8) (18,14) (3,0) (8,24) (28,12) (32,26) (21,4) (29,11) (19,30) (17,11) (29,13) (15,16) (27,5) (0,2) (23,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph621", - "image": "data/cycle/graph_visual/Base/hard/graph621.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (17,5) (8,16) (8,7) (10,27) (24,2) (21,0) (14,26) (25,10) (0,11) (24,6) (15,3) (13,18) (12,17) (23,9) (24,4) (31,17) (23,21) (29,1) (5,26) (29,20) (15,10) (6,18) (2,21) (30,10) (3,7) (5,22) (29,28) (11,19) (14,13) (27,28) (4,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph37", - "image": "data/cycle/graph_visual/Base/hard/graph37.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (1,6) (8,15) (17,2) (9,5) (18,10) (18,23) (6,12) (7,13) (0,4) (2,19) (9,15) (23,21) (22,6) (14,3) (25,15) (25,17) (14,7) (14,19) (12,20) (12,11) (4,17) (16,10) (1,15) (23,17) (24,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph769", - "image": "data/cycle/graph_visual/Base/hard/graph769.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (24,8) (2,12) (0,32) (13,0) (20,26) (21,16) (12,14) (0,11) (15,28) (8,18) (15,9) (29,17) (10,19) (27,8) (14,11) (4,21) (3,21) (10,7) (23,7) (6,0) (29,21) (9,3) (11,5) (29,7) (22,14) (11,25) (8,19) (20,27) (30,28) (1,25) (26,31) (12,28)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1388", - "image": "data/cycle/graph_visual/Base/hard/graph1388.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (0,19) (5,4) (24,22) (9,7) (15,12) (11,23) (14,20) (5,18) (4,28) (26,24) (10,26) (3,0) (17,13) (2,0) (7,11) (16,12) (17,0) (16,1) (10,9) (2,26) (27,23) (19,25) (21,14) (0,28) (4,21) (8,17) (15,26) (21,9) (6,10) (1,0) (14,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1121", - "image": "data/cycle/graph_visual/Base/hard/graph1121.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (16,0) (15,22) (21,3) (0,1) (4,7) (18,11) (4,14) (24,17) (23,0) (9,21) (5,22) (19,14) (9,1) (13,12) (18,25) (12,26) (1,2) (22,10) (19,17) (11,8) (6,24) (20,25) (13,24) (14,3) (19,15) (11,19) (13,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1396", - "image": "data/cycle/graph_visual/Base/hard/graph1396.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (13,7) (11,26) (18,7) (27,22) (13,15) (23,0) (2,0) (3,12) (14,1) (3,25) (19,18) (4,23) (27,24) (1,0) (24,20) (19,16) (6,26) (3,0) (17,20) (16,9) (21,23) (10,21) (14,10) (14,17) (28,3) (5,11) (17,5) (8,15) (2,22) (25,24) (23,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1005", - "image": "data/cycle/graph_visual/Base/hard/graph1005.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (0,24) (23,4) (17,12) (11,5) (24,25) (11,8) (1,16) (20,2) (18,21) (0,19) (7,15) (4,16) (19,11) (14,0) (24,4) (8,3) (1,0) (18,16) (6,18) (10,9) (0,7) (13,9) (12,11) (10,3) (22,3) (13,2) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1124", - "image": "data/cycle/graph_visual/Base/hard/graph1124.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (10,16) (3,4) (7,12) (23,19) (8,14) (9,14) (21,17) (0,2) (22,6) (24,12) (25,13) (12,20) (3,15) (1,0) (9,1) (21,22) (22,5) (14,10) (26,4) (4,11) (2,16) (0,3) (18,21) (21,13) (20,2) (0,4) (6,19) (25,7) (26,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1182", - "image": "data/cycle/graph_visual/Base/hard/graph1182.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (3,0) (24,5) (11,17) (23,1) (12,17) (3,25) (26,3) (20,2) (3,13) (9,25) (6,7) (14,23) (5,26) (18,12) (2,4) (1,0) (15,19) (11,8) (24,8) (9,10) (7,16) (17,16) (1,7) (15,4) (12,0) (24,22) (9,21) (0,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph139", - "image": "data/cycle/graph_visual/Base/hard/graph139.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (10,0) (5,8) (23,26) (7,15) (8,4) (0,3) (20,1) (25,21) (2,4) (23,9) (3,9) (8,25) (2,12) (23,25) (13,6) (1,19) (14,10) (19,2) (9,13) (11,8) (15,0) (3,22) (17,15) (20,24) (9,18) (16,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1237", - "image": "data/cycle/graph_visual/Base/hard/graph1237.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (24,13) (12,19) (21,10) (0,19) (19,14) (11,27) (3,0) (13,10) (9,6) (11,17) (0,7) (22,9) (25,6) (15,22) (5,26) (20,2) (2,10) (1,2) (2,18) (16,8) (27,7) (4,23) (2,0) (18,27) (5,14) (22,21) (27,4) (1,0) (8,4) (24,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph226", - "image": "data/cycle/graph_visual/Base/hard/graph226.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (2,10) (13,19) (24,9) (16,24) (17,14) (21,25) (27,0) (2,8) (14,15) (24,26) (0,15) (1,4) (15,11) (24,0) (19,24) (12,20) (3,6) (20,18) (12,13) (22,6) (12,25) (26,23) (15,3) (7,25) (5,27) (4,18) (3,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph174", - "image": "data/cycle/graph_visual/Base/hard/graph174.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (18,10) (20,2) (5,23) (4,9) (0,26) (14,21) (24,9) (25,15) (16,19) (26,21) (17,9) (22,11) (18,23) (15,12) (14,6) (1,7) (0,13) (25,17) (10,21) (0,7) (24,5) (12,22) (2,3) (0,19) (15,20) (8,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph548", - "image": "data/cycle/graph_visual/Base/hard/graph548.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (4,15) (0,2) (1,27) (16,17) (1,7) (7,16) (9,23) (30,29) (11,17) (3,26) (18,23) (28,24) (25,9) (19,12) (3,8) (30,6) (24,25) (13,9) (10,7) (11,8) (5,24) (21,2) (6,8) (12,0) (5,26) (3,14) (4,2) (15,20) (29,22) (12,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1732", - "image": "data/cycle/graph_visual/Base/hard/graph1732.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (1,17) (23,15) (15,9) (6,12) (12,27) (18,22) (28,32) (26,11) (8,15) (0,1) (2,0) (18,30) (11,24) (29,24) (0,17) (16,30) (25,0) (2,16) (4,5) (30,13) (14,13) (5,32) (7,20) (4,12) (31,1) (21,20) (10,12) (11,21) (14,12) (16,31) (19,7) (32,9) (3,20) (7,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1090", - "image": "data/cycle/graph_visual/Base/hard/graph1090.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (4,18) (25,11) (15,7) (2,17) (5,12) (17,6) (0,3) (23,6) (4,0) (21,10) (0,1) (24,2) (0,13) (5,22) (3,9) (23,9) (8,1) (4,21) (8,21) (21,16) (19,7) (25,21) (4,13) (7,20) (0,9) (20,23) (0,2) (20,14) (4,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph656", - "image": "data/cycle/graph_visual/Base/hard/graph656.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (15,26) (17,18) (12,3) (6,17) (12,28) (20,19) (29,7) (18,10) (12,7) (1,6) (9,11) (7,2) (14,16) (5,25) (6,4) (24,4) (31,25) (26,30) (16,20) (2,0) (29,24) (22,12) (9,16) (13,6) (27,25) (1,26) (21,20) (6,27) (23,4) (19,1) (22,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph613", - "image": "data/cycle/graph_visual/Base/hard/graph613.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (23,17) (18,9) (8,21) (0,6) (5,20) (14,3) (1,23) (20,15) (21,26) (21,29) (22,0) (1,3) (2,21) (4,10) (27,12) (31,30) (3,28) (23,25) (5,10) (15,1) (16,13) (27,31) (0,24) (7,8) (6,31) (30,4) (10,21) (23,19) (16,17) (9,11) (6,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1920", - "image": "data/cycle/graph_visual/Base/hard/graph1920.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (14,30) (16,9) (22,1) (4,3) (6,10) (10,27) (7,24) (11,25) (2,7) (22,15) (13,30) (5,33) (7,8) (23,22) (20,2) (26,14) (6,5) (10,3) (13,25) (28,18) (4,30) (19,10) (4,7) (9,11) (25,23) (21,13) (5,12) (18,34) (32,4) (31,0) (1,0) (17,7) (5,18) (29,18) (31,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph345", - "image": "data/cycle/graph_visual/Base/hard/graph345.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (28,12) (8,7) (16,25) (25,6) (3,21) (14,10) (19,23) (21,4) (24,11) (18,14) (18,1) (27,13) (15,26) (5,2) (25,11) (5,9) (14,21) (12,6) (8,22) (6,7) (20,14) (2,0) (14,26) (27,25) (19,26) (6,15) (5,12) (23,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph686", - "image": "data/cycle/graph_visual/Base/hard/graph686.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (30,21) (29,27) (28,22) (24,11) (13,17) (10,15) (8,29) (12,14) (19,24) (6,28) (19,26) (5,25) (16,13) (3,25) (21,11) (28,5) (11,1) (7,29) (29,4) (24,22) (11,27) (20,5) (12,23) (13,31) (10,2) (18,24) (9,16) (24,23) (13,23) (0,5) (31,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph369", - "image": "data/cycle/graph_visual/Base/hard/graph369.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (28,19) (21,1) (20,16) (3,22) (15,27) (23,17) (2,5) (17,2) (18,12) (8,9) (0,6) (4,1) (28,18) (18,10) (26,9) (2,11) (18,14) (8,15) (25,22) (7,21) (23,4) (24,14) (11,8) (26,25) (15,6) (21,28) (20,11) (13,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1789", - "image": "data/cycle/graph_visual/Base/hard/graph1789.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (26,0) (24,5) (2,14) (31,20) (32,22) (21,6) (0,1) (15,22) (9,20) (28,20) (26,19) (20,23) (7,32) (13,6) (20,1) (2,1) (10,1) (25,11) (17,25) (2,0) (30,0) (10,3) (27,30) (17,8) (10,18) (13,12) (3,7) (32,8) (22,21) (28,29) (5,16) (23,4) (15,30) (21,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph881", - "image": "data/cycle/graph_visual/Base/hard/graph881.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (32,31) (3,32) (8,19) (15,18) (1,9) (26,0) (14,18) (2,24) (27,5) (11,5) (30,22) (29,0) (9,30) (29,23) (4,33) (20,16) (8,10) (11,9) (2,21) (16,14) (17,4) (17,15) (3,6) (14,1) (28,24) (6,19) (13,9) (25,21) (7,19) (18,12) (15,2) (10,26) (19,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1627", - "image": "data/cycle/graph_visual/Base/hard/graph1627.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (1,0) (8,5) (17,4) (23,19) (6,3) (13,18) (22,25) (12,15) (31,0) (24,26) (0,2) (11,31) (27,15) (2,21) (7,31) (14,17) (21,17) (15,25) (27,16) (10,20) (31,23) (4,26) (29,13) (18,11) (18,1) (0,10) (7,28) (20,30) (24,22) (5,0) (3,0) (10,25) (9,11) (3,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph556", - "image": "data/cycle/graph_visual/Base/hard/graph556.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (23,11) (15,17) (27,4) (13,27) (1,13) (15,16) (26,22) (3,18) (0,18) (7,2) (30,4) (6,14) (2,10) (16,26) (5,1) (25,20) (11,1) (29,23) (10,15) (21,15) (28,30) (12,13) (9,1) (24,8) (8,20) (6,0) (7,30) (5,25) (19,18) (14,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1483", - "image": "data/cycle/graph_visual/Base/hard/graph1483.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (18,13) (0,1) (27,13) (27,12) (11,7) (25,3) (9,29) (29,11) (10,8) (25,19) (1,3) (0,21) (19,2) (14,18) (23,14) (17,25) (25,29) (5,2) (2,0) (10,17) (13,22) (5,6) (20,27) (26,14) (24,26) (28,17) (4,1) (26,16) (21,17) (16,10) (15,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1019", - "image": "data/cycle/graph_visual/Base/hard/graph1019.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (0,4) (22,17) (2,15) (22,19) (2,24) (25,22) (0,1) (0,11) (8,9) (0,3) (10,14) (1,4) (10,21) (23,4) (3,23) (8,0) (17,20) (16,15) (12,8) (12,24) (18,20) (16,19) (7,3) (22,10) (11,3) (13,24) (17,6) (6,5) (0,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1617", - "image": "data/cycle/graph_visual/Base/hard/graph1617.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (1,17) (15,4) (18,11) (10,8) (31,17) (2,7) (30,10) (8,13) (30,26) (27,10) (26,16) (0,2) (4,10) (12,2) (24,22) (28,14) (5,3) (3,30) (0,15) (28,19) (26,9) (31,24) (28,23) (2,21) (0,20) (1,0) (11,22) (26,7) (31,29) (24,2) (0,25) (23,6) (14,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1838", - "image": "data/cycle/graph_visual/Base/hard/graph1838.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (14,24) (29,22) (4,25) (6,17) (0,33) (3,13) (10,33) (3,25) (29,5) (32,8) (10,26) (0,1) (1,15) (1,25) (19,8) (0,2) (0,20) (11,13) (7,31) (17,7) (9,1) (1,23) (16,12) (18,5) (4,22) (25,28) (3,0) (15,17) (30,27) (4,24) (33,19) (31,19) (21,15) (2,18) (6,27) (8,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph939", - "image": "data/cycle/graph_visual/Base/hard/graph939.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (27,16) (1,14) (15,33) (19,7) (14,15) (23,30) (17,28) (23,5) (16,8) (0,3) (27,33) (13,10) (28,25) (21,23) (3,5) (9,13) (1,11) (20,11) (10,6) (20,34) (32,26) (22,34) (12,2) (24,27) (20,29) (2,17) (18,25) (10,32) (11,10) (31,24) (32,19) (29,23) (1,2) (5,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1068", - "image": "data/cycle/graph_visual/Base/hard/graph1068.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (22,12) (23,19) (20,21) (13,3) (17,6) (18,24) (0,14) (24,4) (3,12) (16,17) (0,1) (7,10) (9,20) (23,8) (0,10) (11,24) (16,3) (18,0) (2,15) (24,25) (1,25) (22,2) (23,16) (9,23) (14,13) (0,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1207", - "image": "data/cycle/graph_visual/Base/hard/graph1207.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (1,0) (13,20) (2,0) (27,26) (22,1) (13,5) (20,10) (6,12) (26,3) (14,21) (0,27) (6,3) (8,2) (24,18) (23,2) (8,11) (8,4) (0,25) (10,17) (9,10) (10,24) (11,10) (21,0) (4,16) (15,12) (16,25) (11,7) (1,19) (5,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1541", - "image": "data/cycle/graph_visual/Base/hard/graph1541.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (1,22) (29,2) (13,0) (14,15) (12,4) (7,20) (27,5) (24,29) (0,28) (3,9) (1,12) (18,15) (11,4) (28,14) (10,19) (13,30) (0,1) (21,2) (25,23) (25,20) (27,26) (7,1) (8,16) (10,28) (9,18) (5,4) (2,0) (7,8) (6,9) (25,17) (21,27) (28,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1926", - "image": "data/cycle/graph_visual/Base/hard/graph1926.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (9,10) (5,1) (23,16) (31,9) (17,32) (29,19) (18,12) (10,0) (1,0) (4,0) (33,3) (33,10) (14,30) (16,22) (2,0) (16,29) (28,18) (17,13) (6,2) (17,8) (4,7) (24,34) (25,27) (21,1) (5,17) (20,22) (20,14) (7,25) (23,33) (21,7) (26,19) (15,6) (11,16) (4,15) (13,24) (25,28)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph980", - "image": "data/cycle/graph_visual/Base/hard/graph980.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (15,20) (34,21) (25,4) (21,2) (26,28) (31,7) (10,18) (27,32) (33,31) (13,16) (23,0) (18,11) (1,23) (0,15) (22,0) (2,14) (4,9) (34,5) (29,14) (30,12) (33,19) (8,26) (2,28) (32,17) (10,3) (26,6) (30,14) (32,11) (26,27) (9,5) (7,23) (13,30) (9,1) (24,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph374", - "image": "data/cycle/graph_visual/Base/hard/graph374.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (6,12) (15,6) (24,25) (7,12) (27,23) (27,14) (17,2) (25,4) (3,20) (9,22) (22,21) (5,6) (8,26) (0,14) (16,21) (18,24) (1,22) (26,14) (3,28) (18,10) (5,13) (0,24) (4,19) (2,22) (5,11) (21,5) (20,23) (23,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1371", - "image": "data/cycle/graph_visual/Base/hard/graph1371.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (2,21) (16,7) (23,18) (10,7) (0,2) (14,3) (1,25) (16,17) (12,19) (8,11) (20,15) (0,1) (1,7) (24,27) (9,25) (5,24) (6,8) (0,4) (3,26) (15,4) (9,13) (28,6) (2,4) (0,12) (8,3) (5,26) (9,22) (24,23) (17,12) (17,11) (3,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph186", - "image": "data/cycle/graph_visual/Base/hard/graph186.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (2,16) (0,26) (10,19) (17,8) (4,11) (17,5) (6,22) (13,20) (0,18) (8,20) (19,2) (17,15) (26,12) (7,6) (15,22) (15,19) (11,15) (12,15) (18,3) (7,21) (26,24) (17,25) (17,23) (7,1) (14,18) (4,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph332", - "image": "data/cycle/graph_visual/Base/hard/graph332.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (17,22) (18,21) (20,4) (2,1) (7,28) (0,22) (22,25) (27,12) (17,14) (10,26) (13,22) (4,12) (10,7) (22,24) (19,21) (16,11) (4,19) (2,25) (5,8) (5,11) (11,9) (22,23) (23,6) (9,23) (19,15) (20,0) (19,3) (25,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1159", - "image": "data/cycle/graph_visual/Base/hard/graph1159.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (26,8) (0,4) (12,11) (17,13) (18,10) (0,2) (7,0) (5,4) (26,6) (17,24) (0,3) (16,2) (17,3) (21,11) (1,0) (14,25) (12,19) (7,5) (12,8) (16,20) (21,18) (22,17) (17,16) (20,10) (1,26) (26,7) (23,14) (9,7) (22,23) (15,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph922", - "image": "data/cycle/graph_visual/Base/hard/graph922.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (1,15) (8,21) (22,23) (17,23) (10,21) (30,23) (31,32) (3,14) (3,1) (33,21) (25,32) (19,6) (5,10) (10,4) (20,15) (3,31) (13,16) (9,11) (28,1) (27,12) (5,20) (2,21) (24,0) (27,23) (4,30) (34,23) (6,0) (33,16) (21,29) (8,7) (9,18) (31,6) (0,26) (17,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1954", - "image": "data/cycle/graph_visual/Base/hard/graph1954.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (23,25) (9,24) (30,0) (1,25) (9,2) (3,0) (11,9) (34,14) (16,2) (22,8) (34,19) (3,8) (25,10) (15,23) (4,0) (34,13) (3,2) (8,14) (7,1) (12,32) (15,13) (21,25) (26,13) (0,2) (17,8) (14,20) (26,29) (0,1) (30,5) (33,21) (28,27) (31,21) (7,18) (7,5) (28,33) (7,6) (12,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1800", - "image": "data/cycle/graph_visual/Base/hard/graph1800.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (32,22) (32,5) (17,21) (33,7) (28,29) (14,12) (32,25) (30,6) (3,25) (2,10) (27,23) (0,1) (28,12) (20,31) (2,0) (29,4) (0,13) (13,29) (3,16) (10,3) (11,23) (24,16) (1,2) (15,1) (30,8) (20,32) (14,23) (22,18) (8,19) (9,17) (10,26) (3,21) (8,22) (14,8) (9,33)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1192", - "image": "data/cycle/graph_visual/Base/hard/graph1192.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (4,18) (7,23) (3,0) (26,23) (17,0) (0,26) (16,13) (17,12) (25,7) (0,2) (19,12) (2,26) (22,15) (12,15) (3,9) (6,5) (1,20) (9,21) (4,20) (1,13) (21,6) (6,22) (8,23) (11,23) (20,24) (0,1) (3,10) (14,8) (21,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph71", - "image": "data/cycle/graph_visual/Base/hard/graph71.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (11,24) (25,6) (25,9) (14,13) (22,5) (3,2) (20,17) (18,14) (23,13) (15,18) (21,7) (15,10) (4,10) (16,8) (3,19) (4,3) (24,2) (21,8) (23,1) (13,0) (4,12) (18,21) (20,10) (13,6) (0,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph358", - "image": "data/cycle/graph_visual/Base/hard/graph358.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (5,0) (8,23) (19,5) (8,28) (3,1) (25,5) (7,12) (24,21) (25,24) (16,21) (7,6) (17,20) (15,9) (13,15) (22,3) (20,15) (28,5) (4,14) (6,26) (18,15) (2,21) (10,3) (27,22) (10,11) (8,6) (9,14) (16,10) (28,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1879", - "image": "data/cycle/graph_visual/Base/hard/graph1879.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (27,20) (7,22) (14,30) (3,18) (33,22) (16,2) (27,31) (0,17) (31,14) (26,28) (11,8) (14,10) (22,16) (11,19) (1,27) (0,3) (25,0) (29,8) (16,8) (13,18) (4,21) (27,23) (5,9) (9,17) (6,11) (27,28) (0,1) (12,9) (18,1) (0,4) (32,23) (0,2) (13,4) (16,5) (8,24) (15,14) (7,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph789", - "image": "data/cycle/graph_visual/Base/hard/graph789.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (27,28) (21,14) (16,5) (20,22) (24,12) (23,3) (30,8) (31,1) (18,9) (26,21) (2,17) (14,15) (14,20) (11,5) (6,12) (4,21) (6,19) (32,12) (17,21) (27,6) (31,0) (21,10) (13,20) (17,27) (22,9) (14,0) (23,22) (25,4) (29,5) (4,5) (15,7) (30,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph940", - "image": "data/cycle/graph_visual/Base/hard/graph940.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (1,16) (20,14) (4,8) (24,17) (20,17) (26,13) (28,11) (33,1) (7,31) (6,19) (22,18) (9,21) (20,29) (23,24) (16,28) (18,8) (29,10) (31,2) (6,5) (12,8) (7,28) (24,28) (9,13) (4,25) (26,15) (32,22) (8,34) (3,18) (5,2) (7,0) (25,15) (30,6) (32,27) (31,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph931", - "image": "data/cycle/graph_visual/Base/hard/graph931.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (25,26) (32,10) (13,4) (7,15) (10,0) (2,17) (29,3) (20,34) (8,33) (16,28) (32,3) (21,18) (19,26) (17,20) (31,15) (4,22) (24,19) (18,33) (7,23) (20,3) (11,20) (7,20) (5,30) (31,28) (33,12) (19,33) (30,27) (4,23) (14,30) (18,13) (9,11) (6,34) (27,17) (14,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph61", - "image": "data/cycle/graph_visual/Base/hard/graph61.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (19,24) (6,1) (7,23) (20,10) (1,17) (11,9) (18,2) (19,13) (8,14) (9,18) (6,4) (13,9) (18,3) (25,22) (20,14) (12,11) (6,16) (15,6) (0,15) (23,8) (25,6) (12,21) (0,3) (5,6) (14,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1810", - "image": "data/cycle/graph_visual/Base/hard/graph1810.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (32,17) (22,13) (26,6) (8,16) (29,15) (26,1) (8,12) (13,9) (27,1) (28,8) (0,33) (15,4) (9,25) (19,26) (20,8) (17,14) (33,31) (28,14) (13,21) (10,23) (2,0) (20,26) (7,2) (11,32) (12,0) (0,3) (1,0) (11,5) (8,3) (18,29) (11,30) (25,12) (6,4) (24,12) (14,7) (10,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1610", - "image": "data/cycle/graph_visual/Base/hard/graph1610.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (19,23) (27,8) (0,2) (18,16) (29,15) (10,13) (20,4) (12,17) (31,15) (26,18) (0,6) (28,22) (2,10) (7,29) (31,9) (14,31) (3,0) (1,2) (13,0) (22,24) (19,11) (27,3) (16,29) (26,2) (2,25) (26,24) (11,30) (5,30) (29,8) (8,23) (17,20) (4,15) (21,23) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph450", - "image": "data/cycle/graph_visual/Base/hard/graph450.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (16,21) (22,21) (6,15) (22,17) (9,19) (0,12) (19,2) (13,23) (7,11) (4,24) (13,27) (17,2) (12,1) (10,5) (16,12) (23,19) (23,8) (25,6) (2,14) (24,12) (29,28) (15,26) (6,18) (3,6) (19,18) (20,8) (7,5) (4,7) (28,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1962", - "image": "data/cycle/graph_visual/Base/hard/graph1962.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (7,2) (18,30) (28,27) (1,0) (8,1) (5,11) (5,3) (16,19) (30,12) (7,10) (29,6) (28,34) (31,27) (28,20) (26,30) (33,24) (17,15) (4,29) (12,11) (21,6) (9,1) (33,0) (2,34) (32,24) (23,25) (10,23) (21,16) (34,22) (13,32) (0,2) (12,0) (14,7) (33,8) (9,22) (15,27) (3,21) (3,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1971", - "image": "data/cycle/graph_visual/Base/hard/graph1971.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (0,1) (12,22) (1,17) (21,10) (23,7) (22,13) (2,9) (4,12) (34,8) (27,26) (31,29) (20,28) (30,18) (1,19) (16,33) (16,11) (34,18) (13,28) (31,32) (30,12) (21,7) (5,24) (27,20) (0,17) (0,23) (25,24) (12,3) (20,15) (6,17) (6,9) (14,34) (26,17) (5,19) (5,11) (4,32)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph434", - "image": "data/cycle/graph_visual/Base/hard/graph434.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (0,18) (28,4) (16,22) (23,29) (5,28) (23,4) (12,1) (17,8) (9,19) (4,14) (7,24) (29,10) (6,5) (0,14) (12,8) (21,7) (2,10) (12,27) (15,28) (24,22) (23,20) (27,24) (25,18) (7,3) (12,11) (13,18) (21,26) (17,9) (0,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1262", - "image": "data/cycle/graph_visual/Base/hard/graph1262.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (16,14) (1,0) (3,9) (14,17) (4,0) (1,22) (10,26) (24,10) (19,15) (22,19) (9,4) (8,14) (2,0) (18,14) (7,13) (7,11) (21,16) (27,1) (2,7) (20,25) (26,13) (17,23) (13,0) (3,0) (17,2) (6,20) (6,8) (12,14) (27,9) (16,5) (20,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph710", - "image": "data/cycle/graph_visual/Base/hard/graph710.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (13,19) (25,4) (25,22) (32,29) (5,22) (1,6) (14,28) (21,26) (18,9) (2,10) (18,26) (30,13) (29,10) (6,31) (20,7) (13,6) (28,17) (6,24) (4,24) (19,9) (0,2) (16,4) (28,12) (23,32) (15,20) (12,9) (26,8) (11,27) (4,3) (9,20) (23,16) (26,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph435", - "image": "data/cycle/graph_visual/Base/hard/graph435.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (17,29) (20,3) (5,1) (19,16) (5,24) (15,16) (20,21) (20,5) (26,6) (2,20) (22,17) (26,7) (18,28) (23,16) (19,26) (9,21) (27,10) (8,11) (16,28) (14,15) (29,2) (13,28) (0,18) (25,28) (20,12) (14,9) (15,8) (4,7) (10,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1998", - "image": "data/cycle/graph_visual/Base/hard/graph1998.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (4,13) (1,27) (10,17) (31,19) (0,3) (19,11) (2,0) (0,4) (33,15) (23,0) (21,5) (28,14) (10,9) (21,11) (26,14) (1,0) (21,32) (22,18) (28,9) (24,7) (15,28) (3,29) (11,24) (13,32) (2,32) (16,1) (18,34) (34,6) (22,25) (29,19) (28,1) (27,22) (24,14) (8,30) (8,4) (20,18) (12,30) (0,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph58", - "image": "data/cycle/graph_visual/Base/hard/graph58.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (13,23) (14,11) (18,16) (7,23) (12,23) (17,11) (25,14) (0,21) (16,25) (20,1) (20,3) (3,21) (22,19) (25,19) (5,2) (10,16) (20,8) (9,12) (9,24) (21,14) (1,15) (6,21) (19,2) (14,13) (19,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph707", - "image": "data/cycle/graph_visual/Base/hard/graph707.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (0,9) (5,3) (31,7) (20,1) (4,9) (5,23) (21,29) (12,1) (30,25) (2,30) (16,28) (18,9) (27,24) (7,12) (24,6) (29,6) (17,15) (22,4) (15,31) (31,5) (23,26) (11,26) (22,19) (16,31) (10,14) (32,6) (15,10) (19,11) (2,21) (22,13) (3,29) (28,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1136", - "image": "data/cycle/graph_visual/Base/hard/graph1136.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (20,14) (18,8) (0,5) (26,1) (17,13) (6,1) (20,8) (2,19) (17,4) (25,0) (11,3) (10,20) (9,16) (9,24) (19,11) (21,17) (3,7) (24,18) (15,12) (6,23) (22,13) (16,15) (10,2) (18,6) (7,22) (0,24) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph872", - "image": "data/cycle/graph_visual/Base/hard/graph872.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (25,9) (18,32) (1,30) (16,31) (7,6) (28,15) (29,11) (4,3) (5,30) (22,14) (0,13) (11,3) (27,6) (19,12) (29,23) (2,9) (4,27) (19,20) (33,4) (6,26) (16,19) (8,33) (10,5) (1,7) (13,7) (13,18) (28,8) (23,17) (24,2) (23,24) (21,17) (32,31) (22,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1342", - "image": "data/cycle/graph_visual/Base/hard/graph1342.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (14,7) (5,3) (24,28) (12,18) (8,27) (22,16) (24,12) (0,4) (12,20) (0,3) (27,18) (24,5) (18,21) (22,20) (5,0) (11,5) (9,22) (0,23) (13,1) (6,22) (1,0) (16,2) (17,4) (2,0) (25,16) (17,0) (15,9) (10,3) (7,19) (9,26) (12,13) (7,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1512", - "image": "data/cycle/graph_visual/Base/hard/graph1512.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (4,13) (17,22) (8,28) (4,22) (7,26) (21,10) (25,4) (24,14) (21,13) (28,19) (16,15) (20,10) (1,12) (0,2) (19,5) (6,2) (1,0) (14,5) (23,21) (9,5) (13,14) (27,0) (30,7) (3,27) (6,10) (11,20) (3,22) (12,0) (29,10) (16,24) (30,4) (18,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph486", - "image": "data/cycle/graph_visual/Base/hard/graph486.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (19,6) (3,4) (22,6) (7,12) (9,22) (14,4) (2,16) (29,0) (9,5) (2,20) (15,14) (3,18) (21,26) (21,13) (4,26) (29,8) (12,20) (1,3) (13,25) (16,10) (17,10) (22,21) (24,8) (24,10) (25,12) (28,7) (27,19) (14,11) (23,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph888", - "image": "data/cycle/graph_visual/Base/hard/graph888.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (19,2) (4,29) (16,22) (8,17) (17,6) (1,21) (30,8) (16,32) (18,28) (7,19) (20,11) (12,31) (1,4) (20,22) (14,16) (26,4) (33,20) (19,5) (31,13) (17,9) (24,30) (11,2) (27,4) (26,10) (9,26) (3,9) (2,3) (21,23) (0,25) (18,7) (13,27) (15,5) (7,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph612", - "image": "data/cycle/graph_visual/Base/hard/graph612.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (23,28) (14,10) (8,22) (26,11) (26,30) (1,2) (24,10) (17,14) (20,21) (26,21) (7,5) (31,30) (19,27) (22,12) (9,25) (14,15) (27,25) (6,28) (22,3) (4,18) (28,26) (18,5) (29,12) (14,26) (17,19) (31,5) (1,13) (2,6) (4,0) (12,27) (22,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1171", - "image": "data/cycle/graph_visual/Base/hard/graph1171.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (17,2) (4,5) (20,23) (22,5) (6,23) (10,21) (26,4) (25,21) (0,13) (3,9) (9,0) (18,4) (20,7) (23,9) (7,15) (24,2) (4,13) (25,11) (5,12) (6,17) (8,1) (21,26) (8,21) (20,14) (0,1) (16,21) (7,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph324", - "image": "data/cycle/graph_visual/Base/hard/graph324.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (25,2) (23,22) (20,0) (22,17) (22,0) (28,7) (14,17) (19,4) (10,7) (9,23) (21,19) (22,25) (24,22) (6,23) (5,11) (2,1) (13,22) (4,20) (12,4) (7,25) (8,5) (19,3) (16,11) (21,18) (27,12) (11,9) (10,26) (19,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1500", - "image": "data/cycle/graph_visual/Base/hard/graph1500.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (28,20) (13,20) (24,0) (19,11) (13,9) (25,23) (0,2) (0,8) (1,11) (3,0) (0,27) (28,23) (2,1) (16,29) (10,17) (19,27) (11,12) (20,3) (12,22) (23,30) (0,1) (28,21) (12,29) (5,26) (3,12) (19,6) (7,14) (16,5) (18,26) (9,15) (16,7) (4,18) (10,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph263", - "image": "data/cycle/graph_visual/Base/hard/graph263.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (15,2) (26,27) (12,13) (18,2) (20,9) (25,27) (2,26) (1,19) (23,24) (5,8) (21,16) (6,17) (15,8) (2,11) (23,12) (2,14) (9,4) (9,6) (9,26) (27,21) (21,7) (20,22) (10,21) (1,7) (14,0) (23,19) (14,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph889", - "image": "data/cycle/graph_visual/Base/hard/graph889.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (30,9) (27,28) (0,15) (11,22) (17,31) (24,5) (5,33) (23,2) (16,2) (17,14) (0,28) (20,11) (7,2) (14,30) (32,31) (8,10) (4,10) (24,25) (12,23) (26,31) (29,10) (26,13) (1,17) (22,0) (7,26) (28,21) (24,2) (3,32) (18,8) (6,3) (4,15) (30,10) (26,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1714", - "image": "data/cycle/graph_visual/Base/hard/graph1714.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (23,13) (22,3) (19,8) (3,0) (11,13) (1,32) (27,15) (5,7) (25,26) (6,24) (31,5) (16,24) (20,0) (11,30) (27,28) (8,12) (1,0) (23,31) (27,22) (2,23) (29,2) (1,26) (6,5) (4,18) (1,9) (23,32) (13,3) (14,0) (18,22) (2,0) (17,28) (17,12) (1,21) (14,29) (19,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1648", - "image": "data/cycle/graph_visual/Base/hard/graph1648.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (8,7) (19,12) (5,29) (14,10) (11,30) (9,18) (23,1) (0,1) (31,5) (0,15) (3,9) (10,16) (7,30) (18,30) (1,19) (21,6) (31,4) (26,20) (3,0) (2,27) (22,19) (6,12) (2,10) (27,31) (28,31) (22,15) (5,25) (22,20) (0,11) (23,28) (8,24) (11,13) (2,0) (16,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph977", - "image": "data/cycle/graph_visual/Base/hard/graph977.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (26,17) (24,10) (10,3) (28,8) (26,27) (11,17) (32,0) (30,28) (8,0) (11,24) (29,4) (34,22) (25,13) (31,8) (29,1) (34,10) (7,23) (20,15) (0,13) (8,4) (10,13) (24,21) (16,2) (6,15) (13,33) (18,7) (14,15) (12,1) (0,15) (22,5) (6,23) (19,30) (9,33) (3,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph833", - "image": "data/cycle/graph_visual/Base/hard/graph833.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (7,33) (30,27) (21,16) (1,2) (20,1) (32,8) (25,11) (10,18) (7,3) (0,30) (17,8) (22,33) (14,2) (5,16) (29,28) (17,25) (4,23) (10,1) (15,30) (6,21) (13,6) (20,28) (21,22) (26,19) (22,15) (13,12) (32,20) (3,10) (23,20) (5,24) (26,0) (20,9) (31,32)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph721", - "image": "data/cycle/graph_visual/Base/hard/graph721.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (25,29) (11,17) (16,6) (7,28) (0,13) (13,29) (21,4) (31,6) (8,18) (10,22) (20,13) (23,8) (4,23) (29,11) (32,19) (23,1) (15,9) (14,18) (24,7) (12,28) (26,10) (2,4) (19,3) (29,31) (24,8) (30,20) (27,1) (0,1) (16,15) (30,19) (26,32) (5,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph393", - "image": "data/cycle/graph_visual/Base/hard/graph393.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (20,12) (10,16) (12,25) (19,26) (21,13) (15,10) (22,21) (4,14) (21,18) (26,4) (22,6) (16,2) (12,7) (27,7) (4,3) (10,24) (9,1) (8,28) (5,22) (20,2) (17,3) (6,19) (23,21) (24,8) (14,9) (0,3) (14,11) (13,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph507", - "image": "data/cycle/graph_visual/Base/hard/graph507.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (2,19) (21,27) (14,25) (22,29) (8,28) (3,12) (3,11) (16,26) (9,5) (1,27) (15,3) (14,3) (27,7) (16,19) (29,27) (25,24) (8,16) (11,6) (30,0) (28,20) (4,16) (18,9) (8,10) (14,5) (10,5) (6,23) (19,0) (14,29) (25,17) (13,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1040", - "image": "data/cycle/graph_visual/Base/hard/graph1040.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (16,15) (5,11) (0,16) (5,18) (7,2) (21,9) (0,2) (5,17) (12,9) (7,14) (15,23) (4,5) (0,3) (16,14) (1,0) (3,5) (6,2) (10,24) (25,10) (21,8) (11,13) (0,24) (20,5) (0,19) (20,8) (18,1) (22,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1107", - "image": "data/cycle/graph_visual/Base/hard/graph1107.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (2,15) (18,15) (11,10) (17,4) (20,24) (16,1) (12,24) (7,26) (3,0) (25,3) (21,4) (15,8) (0,2) (26,13) (13,23) (2,9) (1,0) (10,24) (11,22) (25,6) (6,23) (0,24) (18,19) (18,5) (8,14) (15,25) (0,8) (23,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1666", - "image": "data/cycle/graph_visual/Base/hard/graph1666.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (28,25) (26,9) (1,8) (2,29) (0,24) (19,24) (20,9) (30,23) (0,1) (24,5) (27,18) (3,7) (17,22) (10,14) (13,4) (13,18) (15,0) (8,30) (2,0) (10,16) (21,11) (28,9) (23,4) (24,17) (1,15) (1,7) (12,14) (10,20) (21,18) (16,3) (27,2) (6,31) (7,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph222", - "image": "data/cycle/graph_visual/Base/hard/graph222.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (18,21) (11,15) (19,27) (22,1) (17,12) (12,22) (7,24) (11,18) (27,23) (21,24) (19,2) (8,6) (26,17) (4,26) (7,16) (0,6) (3,5) (13,24) (27,14) (7,17) (6,7) (24,10) (10,3) (18,19) (20,21) (27,25) (9,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1781", - "image": "data/cycle/graph_visual/Base/hard/graph1781.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (9,13) (11,6) (4,0) (32,27) (11,21) (14,8) (31,19) (21,5) (7,14) (10,15) (1,0) (22,12) (15,16) (11,29) (0,2) (13,24) (2,17) (31,5) (17,0) (20,30) (3,0) (18,5) (20,25) (3,24) (9,29) (25,1) (5,8) (27,0) (24,16) (13,26) (23,24) (30,5) (26,12) (25,2) (23,28) (12,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1910", - "image": "data/cycle/graph_visual/Base/hard/graph1910.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (31,25) (19,28) (26,22) (17,8) (24,12) (5,6) (27,5) (27,21) (30,31) (20,9) (15,2) (4,0) (5,12) (20,26) (12,2) (6,7) (13,32) (18,30) (0,1) (1,10) (34,12) (28,21) (2,0) (33,6) (26,14) (3,0) (15,13) (10,11) (23,13) (16,4) (25,5) (0,9) (20,8) (16,3) (20,21) (33,29) (4,6) (1,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph415", - "image": "data/cycle/graph_visual/Base/hard/graph415.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (7,3) (27,4) (13,3) (20,27) (16,19) (9,5) (16,25) (27,0) (14,3) (28,14) (28,18) (10,8) (3,11) (17,9) (14,5) (29,19) (29,26) (14,24) (10,5) (16,8) (27,8) (2,16) (11,6) (1,19) (15,25) (25,23) (21,29) (12,10) (22,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph429", - "image": "data/cycle/graph_visual/Base/hard/graph429.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (7,15) (9,13) (27,7) (5,12) (14,2) (19,26) (1,15) (0,20) (9,6) (2,6) (11,26) (16,8) (8,4) (10,8) (17,21) (5,7) (24,12) (3,22) (17,10) (29,23) (29,25) (26,2) (11,8) (22,26) (20,18) (15,26) (18,29) (23,2) (28,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph634", - "image": "data/cycle/graph_visual/Base/hard/graph634.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (6,7) (29,23) (13,18) (31,4) (2,24) (27,4) (6,27) (30,5) (29,1) (16,31) (20,19) (2,9) (11,8) (17,21) (7,13) (14,22) (8,28) (25,9) (28,15) (5,10) (4,22) (19,16) (12,19) (7,1) (23,24) (4,3) (23,17) (11,3) (0,13) (26,6) (30,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph439", - "image": "data/cycle/graph_visual/Base/hard/graph439.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (13,1) (11,8) (26,18) (27,11) (1,12) (7,1) (2,17) (24,0) (24,22) (23,15) (20,25) (9,16) (17,21) (25,22) (12,6) (10,13) (24,29) (21,19) (9,23) (26,5) (11,0) (15,14) (15,29) (24,28) (2,25) (26,6) (4,18) (20,1) (11,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph307", - "image": "data/cycle/graph_visual/Base/hard/graph307.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (8,15) (12,3) (27,24) (18,7) (17,20) (14,1) (3,28) (23,21) (23,8) (25,3) (24,20) (16,19) (27,22) (15,13) (2,22) (13,7) (11,5) (16,9) (10,14) (26,6) (18,19) (4,23) (24,25) (23,0) (14,17) (21,10) (11,26) (17,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph166", - "image": "data/cycle/graph_visual/Base/hard/graph166.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (18,9) (3,26) (3,4) (26,19) (23,13) (10,0) (0,23) (11,13) (11,15) (11,14) (14,25) (6,9) (26,11) (17,0) (8,17) (13,7) (21,8) (5,2) (20,19) (21,12) (15,16) (13,9) (13,22) (24,0) (5,8) (1,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1232", - "image": "data/cycle/graph_visual/Base/hard/graph1232.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (0,3) (25,23) (15,7) (16,2) (23,24) (25,8) (22,3) (5,8) (11,8) (26,20) (2,4) (1,19) (20,1) (0,1) (9,13) (2,19) (9,18) (21,25) (17,15) (27,23) (10,14) (9,27) (4,8) (0,15) (10,0) (3,9) (12,2) (13,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph848", - "image": "data/cycle/graph_visual/Base/hard/graph848.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (18,19) (0,22) (23,16) (22,17) (14,23) (20,24) (9,0) (3,5) (30,5) (33,9) (4,15) (4,27) (6,29) (13,33) (20,13) (2,33) (19,10) (26,21) (19,25) (1,12) (24,18) (3,24) (9,28) (11,14) (16,3) (27,32) (17,6) (22,7) (1,8) (10,32) (24,1) (23,31) (6,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1952", - "image": "data/cycle/graph_visual/Base/hard/graph1952.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (12,33) (4,13) (32,3) (33,18) (0,10) (18,21) (19,24) (28,16) (9,11) (20,17) (17,27) (7,15) (17,2) (14,30) (34,20) (23,7) (26,25) (19,33) (10,32) (1,14) (19,26) (30,5) (29,3) (0,1) (23,4) (3,20) (31,15) (6,34) (28,31) (13,18) (22,4) (20,7) (8,33) (11,20) (27,30)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1216", - "image": "data/cycle/graph_visual/Base/hard/graph1216.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (8,16) (26,15) (4,8) (22,26) (9,6) (11,8) (17,10) (2,26) (12,24) (11,26) (15,7) (17,21) (6,2) (22,3) (20,0) (23,2) (0,1) (9,13) (0,2) (18,20) (10,8) (27,18) (7,5) (23,20) (26,19) (7,25) (14,2) (15,1) (12,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1513", - "image": "data/cycle/graph_visual/Base/hard/graph1513.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (19,9) (7,11) (10,5) (4,24) (18,6) (22,17) (0,12) (17,2) (8,20) (30,2) (16,21) (22,21) (27,15) (1,12) (28,25) (6,15) (19,26) (23,8) (6,3) (4,7) (19,23) (6,25) (0,2) (18,19) (12,24) (14,2) (30,28) (1,0) (23,13) (7,5) (13,29) (12,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph323", - "image": "data/cycle/graph_visual/Base/hard/graph323.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (25,5) (6,27) (1,8) (20,7) (7,24) (20,23) (21,10) (7,18) (9,23) (9,0) (17,27) (3,9) (21,19) (17,2) (4,5) (5,15) (25,11) (28,14) (23,6) (21,4) (27,22) (13,0) (13,4) (4,28) (26,2) (8,21) (16,20) (12,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1725", - "image": "data/cycle/graph_visual/Base/hard/graph1725.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (18,8) (6,32) (13,25) (10,12) (12,25) (3,23) (32,15) (30,26) (5,31) (29,21) (0,1) (14,31) (20,1) (7,24) (5,25) (28,31) (8,9) (12,29) (29,23) (8,15) (2,11) (5,2) (24,30) (19,13) (31,22) (14,0) (0,2) (24,27) (6,16) (24,4) (1,17) (16,7) (17,26) (14,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph853", - "image": "data/cycle/graph_visual/Base/hard/graph853.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (21,0) (27,1) (3,4) (1,26) (24,13) (9,30) (27,19) (14,32) (5,7) (11,13) (10,24) (8,2) (24,18) (4,16) (20,1) (31,15) (30,0) (13,27) (7,31) (14,17) (33,31) (31,28) (1,29) (17,23) (6,20) (14,28) (33,1) (6,25) (22,28) (8,28) (16,1) (24,0) (12,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1938", - "image": "data/cycle/graph_visual/Base/hard/graph1938.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (19,13) (0,3) (10,29) (1,9) (4,26) (0,27) (21,17) (21,8) (1,0) (8,0) (28,14) (5,2) (33,4) (25,17) (3,20) (5,25) (10,24) (32,9) (11,22) (20,5) (12,4) (3,29) (14,9) (6,16) (19,21) (22,13) (5,30) (7,8) (21,18) (26,30) (16,26) (32,34) (9,15) (4,23) (29,31) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1264", - "image": "data/cycle/graph_visual/Base/hard/graph1264.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (22,12) (12,11) (3,14) (0,3) (6,23) (4,0) (14,7) (23,24) (25,17) (18,23) (1,15) (6,12) (0,2) (10,17) (4,17) (14,19) (6,1) (2,19) (27,16) (15,9) (14,26) (16,10) (5,9) (15,25) (15,8) (0,1) (2,17) (13,7) (18,21) (20,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph904", - "image": "data/cycle/graph_visual/Base/hard/graph904.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (18,17) (33,21) (11,9) (8,21) (34,23) (26,0) (4,30) (19,6) (8,7) (23,17) (30,23) (1,3) (16,13) (21,2) (10,21) (28,1) (27,12) (31,32) (31,6) (9,18) (31,3) (27,23) (10,4) (16,33) (21,29) (5,20) (6,0) (10,5) (25,32) (0,24) (22,23) (14,3) (20,15) (15,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph773", - "image": "data/cycle/graph_visual/Base/hard/graph773.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (30,16) (18,7) (3,28) (30,0) (11,15) (29,15) (23,20) (2,17) (3,26) (5,27) (0,22) (19,16) (21,14) (23,25) (25,6) (15,31) (6,9) (30,1) (12,4) (4,5) (18,21) (31,4) (16,8) (32,25) (21,8) (16,17) (11,24) (27,26) (9,14) (10,12) (13,4) (28,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1196", - "image": "data/cycle/graph_visual/Base/hard/graph1196.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (13,6) (2,14) (6,3) (23,13) (19,23) (25,15) (11,7) (15,6) (12,0) (5,7) (18,26) (19,18) (21,16) (8,20) (7,4) (17,2) (12,16) (24,12) (2,19) (12,1) (19,9) (21,22) (1,0) (24,4) (10,5) (23,8) (22,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph606", - "image": "data/cycle/graph_visual/Base/hard/graph606.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (30,3) (0,20) (23,6) (0,25) (30,10) (13,8) (22,11) (24,22) (9,26) (15,4) (30,26) (4,10) (14,17) (11,18) (10,27) (26,16) (31,17) (21,2) (1,17) (3,5) (19,28) (24,31) (8,10) (26,7) (12,2) (2,24) (14,28) (0,15) (28,23) (29,31) (7,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1018", - "image": "data/cycle/graph_visual/Base/hard/graph1018.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (18,0) (0,2) (12,3) (13,14) (21,20) (11,24) (4,24) (17,16) (20,9) (24,25) (7,10) (23,8) (13,3) (18,24) (22,2) (23,9) (14,0) (16,23) (12,22) (1,0) (10,0) (0,5) (2,15) (3,16) (1,25) (19,23) (6,17) (0,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1784", - "image": "data/cycle/graph_visual/Base/hard/graph1784.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (25,26) (27,3) (24,21) (17,12) (19,2) (6,11) (19,10) (4,1) (30,13) (6,16) (15,30) (9,20) (18,25) (29,11) (14,3) (23,14) (5,23) (25,8) (24,32) (0,15) (28,17) (16,17) (10,12) (16,1) (22,4) (1,0) (5,21) (5,9) (18,23) (31,32) (7,6) (1,13) (18,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph471", - "image": "data/cycle/graph_visual/Base/hard/graph471.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (24,29) (27,13) (12,6) (28,25) (11,26) (16,25) (21,3) (12,24) (14,18) (21,4) (0,2) (22,8) (5,9) (7,6) (21,14) (27,15) (6,25) (8,7) (26,14) (26,19) (25,11) (20,14) (5,2) (12,5) (17,23) (23,19) (15,6) (14,10) (1,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1949", - "image": "data/cycle/graph_visual/Base/hard/graph1949.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (13,9) (26,6) (26,1) (29,19) (4,6) (8,10) (16,14) (20,8) (7,11) (0,1) (28,8) (22,13) (2,0) (8,12) (26,21) (4,15) (7,2) (23,13) (8,18) (26,20) (12,25) (8,3) (17,14) (11,32) (25,9) (14,28) (29,1) (24,10) (0,34) (27,12) (0,3) (32,33) (34,5) (15,30) (33,17) (31,11) (0,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1115", - "image": "data/cycle/graph_visual/Base/hard/graph1115.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (9,25) (0,4) (1,7) (25,3) (7,6) (11,8) (7,16) (11,17) (15,4) (5,26) (26,3) (0,12) (3,13) (20,2) (21,9) (5,24) (14,23) (22,24) (1,0) (12,17) (1,23) (18,12) (10,9) (19,15) (5,0) (17,16) (4,2) (24,8) (3,0) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph86", - "image": "data/cycle/graph_visual/Base/hard/graph86.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (8,15) (23,4) (14,1) (19,10) (12,18) (18,21) (13,15) (7,13) (9,3) (7,16) (22,24) (21,11) (25,24) (8,23) (11,5) (5,17) (23,0) (24,20) (17,20) (22,2) (19,3) (10,14) (17,14) (23,25) (16,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph291", - "image": "data/cycle/graph_visual/Base/hard/graph291.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (7,12) (11,0) (6,17) (3,12) (12,24) (11,13) (19,1) (8,22) (2,8) (17,15) (9,27) (4,27) (7,25) (12,20) (21,11) (24,17) (19,26) (23,26) (17,22) (18,0) (0,4) (7,5) (1,12) (5,16) (18,16) (13,10) (11,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph601", - "image": "data/cycle/graph_visual/Base/hard/graph601.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (5,22) (8,27) (8,28) (0,13) (23,26) (10,4) (13,31) (0,29) (30,13) (15,12) (9,1) (17,25) (6,21) (15,0) (30,18) (7,16) (3,14) (1,29) (13,22) (16,2) (28,26) (24,11) (7,23) (19,15) (6,15) (10,3) (8,0) (8,4) (20,24) (17,11) (24,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph42", - "image": "data/cycle/graph_visual/Base/hard/graph42.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (23,8) (6,3) (4,7) (7,11) (12,20) (22,17) (8,18) (19,25) (19,2) (5,7) (6,13) (12,0) (5,10) (9,19) (23,13) (21,22) (6,15) (14,2) (24,15) (17,2) (23,19) (16,21) (12,16) (1,12) (4,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1600", - "image": "data/cycle/graph_visual/Base/hard/graph1600.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (13,11) (30,18) (14,10) (30,11) (0,11) (23,28) (30,7) (25,5) (28,31) (19,12) (16,10) (8,7) (0,3) (8,24) (15,22) (17,16) (29,5) (6,12) (31,5) (0,15) (31,27) (23,1) (4,31) (20,26) (0,1) (18,9) (9,3) (20,22) (19,22) (27,2) (21,6) (10,2) (1,19) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph971", - "image": "data/cycle/graph_visual/Base/hard/graph971.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (22,24) (20,29) (12,13) (17,13) (14,27) (25,9) (8,7) (24,8) (29,30) (29,1) (33,30) (16,3) (1,2) (5,23) (11,24) (19,12) (26,19) (28,10) (31,1) (3,26) (5,6) (11,20) (2,10) (0,31) (11,18) (32,22) (22,9) (2,15) (21,19) (30,12) (28,14) (34,20) (29,4) (5,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1868", - "image": "data/cycle/graph_visual/Base/hard/graph1868.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (0,4) (9,30) (14,31) (28,17) (27,6) (24,20) (7,20) (9,29) (14,18) (26,3) (7,11) (29,2) (1,32) (2,32) (20,22) (25,17) (23,18) (22,5) (32,12) (3,19) (13,26) (13,4) (24,27) (2,21) (15,8) (22,17) (33,16) (25,3) (1,0) (25,23) (15,1) (4,16) (6,8) (26,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1394", - "image": "data/cycle/graph_visual/Base/hard/graph1394.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (9,1) (5,22) (10,22) (18,11) (8,11) (19,27) (21,9) (25,20) (24,6) (24,27) (14,4) (25,18) (12,13) (24,13) (2,1) (17,28) (28,12) (22,15) (17,26) (11,19) (3,14) (0,2) (0,16) (14,19) (4,7) (19,15) (21,3) (1,0) (0,23) (16,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph927", - "image": "data/cycle/graph_visual/Base/hard/graph927.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (30,4) (34,7) (32,5) (11,22) (32,29) (21,16) (31,12) (26,33) (7,3) (19,1) (12,8) (14,18) (16,26) (24,4) (2,33) (4,6) (22,20) (6,1) (25,10) (12,7) (6,27) (33,13) (34,27) (6,17) (16,9) (26,1) (9,15) (19,20) (29,24) (28,12) (6,18) (23,17) (0,2) (20,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph295", - "image": "data/cycle/graph_visual/Base/hard/graph295.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (10,6) (4,21) (27,4) (4,5) (11,7) (9,21) (9,10) (16,1) (23,11) (26,2) (22,24) (9,7) (23,26) (16,12) (8,17) (24,26) (14,20) (0,10) (19,25) (0,19) (12,15) (3,14) (17,13) (26,15) (5,18) (0,17) (21,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph496", - "image": "data/cycle/graph_visual/Base/hard/graph496.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (3,15) (26,19) (23,3) (19,21) (28,17) (2,16) (29,0) (17,27) (26,11) (4,5) (11,12) (21,3) (25,24) (11,2) (28,3) (8,29) (13,11) (5,18) (15,7) (20,4) (18,9) (6,27) (23,10) (5,25) (28,14) (18,1) (22,12) (1,19) (29,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1338", - "image": "data/cycle/graph_visual/Base/hard/graph1338.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (9,22) (23,0) (12,20) (0,17) (6,22) (7,19) (18,12) (13,1) (5,11) (0,5) (13,12) (5,24) (27,18) (1,0) (27,8) (24,12) (3,0) (5,3) (17,4) (16,25) (18,21) (9,15) (3,10) (7,3) (0,4) (16,22) (16,2) (22,20) (24,28) (9,26) (14,7) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1711", - "image": "data/cycle/graph_visual/Base/hard/graph1711.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (28,0) (19,15) (9,23) (11,7) (7,3) (31,20) (26,4) (10,9) (5,29) (18,24) (0,30) (11,27) (16,27) (17,13) (11,22) (14,28) (18,2) (8,26) (32,14) (6,31) (4,1) (19,29) (13,2) (12,17) (23,0) (10,2) (26,28) (0,2) (17,21) (25,31) (1,0) (7,6) (25,10) (15,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph699", - "image": "data/cycle/graph_visual/Base/hard/graph699.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (3,13) (31,19) (4,22) (14,24) (9,1) (1,15) (25,4) (7,17) (5,29) (5,18) (10,25) (25,1) (16,8) (15,17) (23,4) (3,25) (8,30) (27,28) (19,29) (20,0) (22,26) (6,17) (11,13) (2,18) (6,27) (21,1) (0,15) (12,16) (24,10) (8,19) (7,31)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1503", - "image": "data/cycle/graph_visual/Base/hard/graph1503.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (20,8) (12,18) (5,10) (4,0) (12,0) (11,14) (19,21) (30,28) (4,16) (2,0) (21,0) (0,1) (27,22) (15,24) (8,2) (7,29) (7,17) (15,8) (3,0) (21,3) (9,21) (11,23) (22,26) (5,11) (19,27) (25,14) (19,4) (1,15) (4,14) (0,17) (11,13) (16,6) (20,25) (10,28)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1521", - "image": "data/cycle/graph_visual/Base/hard/graph1521.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (20,27) (1,4) (5,6) (29,11) (25,3) (24,26) (25,14) (17,29) (23,14) (28,26) (27,13) (1,0) (7,11) (10,16) (25,19) (2,5) (3,1) (17,10) (21,17) (21,0) (25,17) (9,29) (14,18) (10,8) (13,18) (25,15) (27,12) (14,30) (2,19) (26,16) (22,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph112", - "image": "data/cycle/graph_visual/Base/hard/graph112.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (22,24) (1,20) (1,21) (14,23) (8,4) (17,20) (3,6) (24,10) (7,19) (3,10) (7,16) (24,23) (12,16) (13,5) (21,18) (25,8) (16,17) (15,1) (23,1) (11,17) (0,2) (14,4) (26,9) (19,9) (13,25) (11,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph239", - "image": "data/cycle/graph_visual/Base/hard/graph239.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (4,18) (3,12) (24,23) (27,0) (16,19) (9,13) (0,22) (17,10) (20,13) (16,7) (14,7) (1,2) (21,12) (11,19) (25,5) (8,0) (19,6) (26,18) (12,11) (26,12) (10,15) (27,23) (20,23) (15,9) (20,3) (1,11) (16,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph68", - "image": "data/cycle/graph_visual/Base/hard/graph68.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (7,11) (4,22) (8,3) (24,12) (9,14) (20,14) (7,25) (23,15) (3,0) (3,24) (8,16) (2,19) (19,1) (8,7) (23,18) (21,12) (16,10) (8,13) (6,20) (9,22) (24,5) (2,21) (17,9) (23,12) (21,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1287", - "image": "data/cycle/graph_visual/Base/hard/graph1287.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (4,12) (27,6) (13,25) (27,19) (5,0) (3,2) (27,21) (9,25) (3,0) (0,13) (23,18) (14,13) (16,8) (11,24) (10,15) (21,8) (14,18) (1,23) (6,13) (20,3) (24,5) (3,4) (26,2) (0,1) (7,21) (22,10) (20,17) (2,0) (15,18) (4,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph290", - "image": "data/cycle/graph_visual/Base/hard/graph290.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (12,11) (4,17) (10,20) (23,6) (9,15) (17,25) (6,12) (24,23) (16,10) (9,5) (27,16) (25,15) (4,0) (10,17) (15,8) (2,19) (22,12) (14,26) (14,7) (14,19) (13,7) (1,6) (1,15) (18,23) (14,3) (21,18) (17,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph751", - "image": "data/cycle/graph_visual/Base/hard/graph751.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (6,17) (0,10) (7,21) (22,16) (24,32) (8,16) (13,24) (5,1) (25,7) (17,13) (17,30) (9,23) (11,18) (29,14) (14,20) (10,31) (23,16) (4,7) (10,9) (2,6) (28,15) (19,29) (25,27) (3,15) (17,5) (18,19) (28,16) (25,26) (12,4) (20,22) (4,0) (1,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph216", - "image": "data/cycle/graph_visual/Base/hard/graph216.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (22,1) (15,19) (8,6) (2,7) (25,20) (7,11) (5,16) (10,26) (21,16) (0,13) (17,2) (13,26) (27,1) (9,27) (22,19) (14,17) (12,14) (18,14) (20,15) (9,3) (24,10) (4,9) (17,23) (13,7) (14,8) (20,6) (14,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1522", - "image": "data/cycle/graph_visual/Base/hard/graph1522.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (1,0) (17,10) (7,28) (13,30) (11,8) (0,4) (23,29) (0,3) (20,0) (3,22) (21,26) (6,9) (19,8) (22,17) (2,0) (15,26) (23,2) (24,26) (8,4) (29,20) (11,26) (10,8) (6,2) (20,18) (5,7) (15,1) (27,29) (26,2) (18,30) (12,25) (9,14) (12,5) (16,2) (7,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1974", - "image": "data/cycle/graph_visual/Base/hard/graph1974.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (1,0) (18,14) (1,31) (2,0) (17,15) (0,18) (9,21) (5,26) (0,11) (9,32) (14,28) (26,16) (19,22) (25,19) (34,5) (30,16) (30,4) (21,24) (12,26) (8,14) (1,9) (27,1) (16,13) (19,23) (14,15) (2,23) (19,14) (3,30) (29,18) (16,23) (6,18) (29,1) (29,33) (28,10) (7,26) (20,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph196", - "image": "data/cycle/graph_visual/Base/hard/graph196.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (26,2) (8,10) (0,20) (10,5) (3,5) (20,10) (22,16) (10,9) (18,22) (11,15) (24,12) (6,25) (2,11) (15,1) (16,0) (2,22) (17,4) (7,6) (25,17) (25,5) (14,10) (13,9) (15,21) (11,23) (19,0) (14,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph108", - "image": "data/cycle/graph_visual/Base/hard/graph108.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (1,25) (5,23) (24,20) (3,8) (7,2) (0,14) (0,7) (12,17) (16,13) (8,23) (25,21) (10,15) (19,4) (20,0) (11,5) (26,13) (9,16) (11,14) (11,15) (1,18) (1,17) (22,13) (14,12) (1,6) (26,2) (4,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1492", - "image": "data/cycle/graph_visual/Base/hard/graph1492.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (15,2) (11,26) (7,26) (18,15) (27,23) (6,23) (15,8) (0,24) (1,16) (25,3) (0,8) (4,21) (24,12) (6,25) (2,9) (15,25) (24,21) (14,8) (13,29) (18,20) (5,18) (13,27) (17,29) (28,17) (0,3) (11,10) (22,23) (4,19) (0,2) (24,10) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1446", - "image": "data/cycle/graph_visual/Base/hard/graph1446.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (29,25) (27,6) (29,12) (5,24) (3,0) (4,9) (16,8) (0,1) (13,1) (10,13) (9,22) (2,12) (15,11) (8,1) (0,2) (23,15) (20,25) (24,3) (18,28) (12,17) (0,27) (6,16) (28,9) (4,24) (28,7) (11,18) (25,19) (4,16) (3,19) (15,14) (21,26) (29,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph893", - "image": "data/cycle/graph_visual/Base/hard/graph893.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (26,0) (20,16) (32,3) (24,2) (15,2) (16,14) (18,12) (10,26) (4,17) (30,9) (6,3) (6,19) (24,28) (31,32) (18,15) (23,29) (9,11) (8,19) (9,19) (29,0) (27,5) (4,33) (9,1) (8,10) (21,2) (13,9) (1,14) (22,30) (17,15) (18,14) (7,19) (21,25) (11,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph993", - "image": "data/cycle/graph_visual/Base/hard/graph993.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (4,5) (13,31) (12,18) (6,13) (1,2) (23,31) (16,11) (5,24) (18,9) (20,5) (3,19) (10,14) (21,33) (28,7) (28,15) (30,16) (21,2) (15,17) (21,8) (27,14) (23,27) (25,12) (28,0) (17,1) (2,32) (29,10) (4,19) (14,3) (34,21) (18,4) (6,2) (27,30) (26,8) (22,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph80", - "image": "data/cycle/graph_visual/Base/hard/graph80.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (20,25) (1,5) (25,2) (0,11) (6,12) (9,23) (15,6) (21,16) (0,24) (15,13) (25,24) (18,17) (15,19) (1,20) (9,14) (17,2) (4,18) (8,13) (12,1) (3,11) (7,11) (21,22) (23,11) (24,22) (1,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph460", - "image": "data/cycle/graph_visual/Base/hard/graph460.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (25,4) (14,27) (28,14) (0,14) (9,23) (6,5) (20,23) (4,19) (21,16) (2,22) (5,21) (17,2) (23,27) (22,1) (12,7) (29,25) (11,5) (21,22) (29,3) (12,6) (6,15) (24,26) (26,8) (3,20) (10,18) (13,5) (0,24) (18,24) (22,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph780", - "image": "data/cycle/graph_visual/Base/hard/graph780.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (23,21) (5,20) (1,0) (1,25) (14,10) (6,20) (16,5) (16,17) (2,17) (28,9) (7,26) (31,9) (27,14) (23,14) (23,12) (10,8) (22,11) (6,1) (11,13) (10,15) (30,0) (19,25) (3,29) (17,13) (3,24) (24,26) (25,4) (15,24) (18,23) (0,32) (28,8) (23,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph581", - "image": "data/cycle/graph_visual/Base/hard/graph581.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (6,30) (1,18) (14,26) (19,26) (5,12) (25,17) (10,5) (16,27) (18,23) (6,7) (24,19) (15,27) (30,12) (25,11) (20,14) (30,28) (7,8) (14,22) (30,3) (9,21) (4,21) (15,6) (8,23) (2,0) (26,11) (21,14) (25,6) (5,2) (25,29) (13,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1463", - "image": "data/cycle/graph_visual/Base/hard/graph1463.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (3,9) (25,28) (14,15) (1,12) (20,7) (0,29) (9,6) (7,1) (5,27) (27,21) (24,27) (0,2) (28,0) (25,20) (12,4) (14,28) (0,1) (25,22) (21,2) (2,26) (8,13) (4,5) (1,19) (28,10) (15,17) (16,25) (11,4) (18,9) (23,29) (3,0) (7,8) (0,4) (10,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph145", - "image": "data/cycle/graph_visual/Base/hard/graph145.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (18,10) (20,16) (17,16) (7,0) (17,3) (9,7) (17,13) (5,4) (26,1) (21,11) (16,2) (8,12) (24,17) (23,14) (10,20) (7,5) (22,17) (26,8) (18,21) (7,26) (26,6) (19,12) (8,15) (14,25) (22,23) (11,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph967", - "image": "data/cycle/graph_visual/Base/hard/graph967.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (13,10) (24,28) (10,2) (15,4) (31,9) (2,27) (19,11) (24,34) (26,32) (29,16) (21,20) (2,1) (33,11) (0,13) (25,23) (30,8) (26,18) (17,31) (31,22) (7,29) (33,14) (29,15) (24,22) (6,0) (4,20) (28,15) (5,30) (18,16) (2,26) (23,8) (12,17) (27,3) (19,23) (29,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1091", - "image": "data/cycle/graph_visual/Base/hard/graph1091.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (6,3) (3,23) (0,2) (1,4) (5,13) (5,14) (9,24) (22,18) (15,13) (6,0) (7,23) (8,14) (19,15) (22,25) (15,21) (0,11) (12,19) (0,1) (23,22) (11,2) (15,22) (4,2) (11,10) (4,20) (7,17) (9,5) (7,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1098", - "image": "data/cycle/graph_visual/Base/hard/graph1098.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (13,1) (9,11) (10,16) (25,15) (2,24) (22,1) (5,24) (5,19) (2,0) (8,21) (5,14) (4,17) (16,25) (3,18) (23,18) (3,4) (8,5) (20,21) (15,3) (9,6) (15,7) (0,4) (9,17) (1,0) (24,6) (12,25) (13,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1929", - "image": "data/cycle/graph_visual/Base/hard/graph1929.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (9,17) (22,8) (12,28) (32,6) (8,31) (20,32) (10,3) (23,29) (26,16) (22,32) (1,18) (27,10) (4,0) (14,8) (9,5) (30,7) (8,24) (16,3) (14,23) (22,19) (0,1) (33,20) (11,33) (0,2) (32,25) (13,23) (10,2) (12,14) (30,28) (2,1) (13,0) (15,29) (21,3) (3,0) (3,25) (21,17) (34,5) (29,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1453", - "image": "data/cycle/graph_visual/Base/hard/graph1453.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (10,21) (25,20) (23,4) (6,21) (12,20) (21,24) (26,0) (27,14) (5,6) (18,13) (29,6) (29,9) (12,15) (8,23) (7,3) (0,2) (8,16) (28,13) (0,17) (28,22) (0,3) (26,2) (15,22) (27,24) (1,20) (4,28) (11,23) (19,1) (26,29) (1,0) (12,17) (9,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1003", - "image": "data/cycle/graph_visual/Base/hard/graph1003.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (0,2) (23,21) (0,6) (0,3) (11,13) (11,18) (24,10) (3,4) (17,22) (14,25) (6,7) (18,21) (7,17) (6,5) (2,19) (20,12) (0,1) (17,12) (22,1) (7,15) (14,8) (14,18) (10,3) (24,19) (19,18) (24,7) (16,21) (9,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph198", - "image": "data/cycle/graph_visual/Base/hard/graph198.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (24,18) (24,1) (20,4) (16,22) (21,1) (4,19) (7,17) (3,13) (24,6) (11,1) (17,23) (9,4) (26,14) (0,2) (21,25) (8,12) (7,15) (4,7) (23,14) (4,1) (15,0) (22,23) (5,3) (3,17) (4,12) (10,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1542", - "image": "data/cycle/graph_visual/Base/hard/graph1542.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (13,14) (6,0) (17,10) (6,23) (29,11) (1,15) (30,23) (15,0) (24,26) (25,24) (21,25) (27,13) (24,20) (20,19) (6,28) (26,22) (16,8) (1,0) (19,7) (4,20) (29,17) (5,3) (18,25) (22,29) (9,12) (6,14) (27,2) (12,21) (4,2) (20,3) (22,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1340", - "image": "data/cycle/graph_visual/Base/hard/graph1340.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (10,24) (3,0) (13,10) (28,5) (8,19) (18,4) (28,10) (4,0) (8,25) (17,6) (3,24) (18,20) (3,26) (15,16) (1,0) (7,16) (11,16) (25,1) (3,14) (9,27) (8,22) (6,12) (2,0) (4,19) (28,9) (12,11) (3,21) (0,21) (1,2) (23,13) (26,8) (9,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1564", - "image": "data/cycle/graph_visual/Base/hard/graph1564.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (23,30) (5,30) (30,16) (17,0) (2,8) (13,14) (17,18) (27,30) (28,6) (0,2) (3,12) (21,11) (24,12) (22,26) (11,13) (12,20) (27,9) (7,5) (7,26) (17,4) (29,25) (7,12) (0,3) (30,10) (8,22) (29,16) (19,1) (0,11) (15,11) (19,28) (4,0) (1,12) (17,24) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1687", - "image": "data/cycle/graph_visual/Base/hard/graph1687.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (2,30) (7,12) (19,31) (2,0) (16,20) (28,12) (0,1) (19,8) (28,4) (12,1) (6,3) (8,6) (22,15) (12,10) (13,30) (18,19) (11,18) (26,21) (14,25) (17,18) (2,11) (6,25) (31,0) (0,26) (4,29) (22,18) (0,3) (9,2) (5,13) (3,23) (28,16) (24,28) (27,13) (23,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph941", - "image": "data/cycle/graph_visual/Base/hard/graph941.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (20,7) (4,6) (17,14) (26,34) (26,16) (23,7) (1,2) (17,23) (15,20) (12,0) (34,33) (8,29) (22,30) (1,18) (1,4) (13,2) (16,25) (11,12) (21,28) (4,34) (3,1) (15,28) (27,12) (34,15) (5,27) (24,19) (32,34) (6,11) (8,31) (23,9) (8,6) (30,4) (3,10) (19,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1205", - "image": "data/cycle/graph_visual/Base/hard/graph1205.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (26,15) (7,12) (27,23) (14,3) (6,10) (16,21) (7,19) (17,18) (17,4) (15,9) (13,6) (0,8) (1,25) (19,22) (2,8) (0,1) (26,0) (9,3) (2,0) (5,15) (24,8) (27,25) (7,4) (11,10) (16,0) (21,20) (26,6) (20,17) (25,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph339", - "image": "data/cycle/graph_visual/Base/hard/graph339.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (21,27) (3,15) (1,20) (11,13) (9,1) (16,19) (14,10) (9,25) (19,8) (19,18) (8,12) (4,24) (6,22) (28,8) (5,14) (1,5) (15,28) (3,21) (5,3) (13,15) (21,23) (17,13) (7,13) (6,20) (24,5) (2,0) (26,14) (2,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1811", - "image": "data/cycle/graph_visual/Base/hard/graph1811.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (23,19) (29,16) (11,31) (9,14) (32,12) (24,17) (28,10) (25,17) (6,10) (2,0) (16,2) (11,22) (7,27) (30,0) (25,0) (3,33) (18,33) (22,19) (23,21) (26,24) (16,13) (20,21) (28,23) (1,12) (32,5) (8,15) (28,1) (7,1) (30,10) (4,15) (25,14) (29,15) (30,2) (0,3) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph569", - "image": "data/cycle/graph_visual/Base/hard/graph569.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (20,13) (0,21) (2,13) (2,5) (19,1) (29,30) (12,19) (30,27) (12,16) (18,12) (9,18) (25,15) (1,25) (10,11) (22,30) (15,23) (4,11) (17,23) (30,8) (8,10) (8,26) (24,3) (14,7) (17,6) (28,25) (17,0) (21,13) (0,29) (3,0) (14,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph160", - "image": "data/cycle/graph_visual/Base/hard/graph160.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (1,18) (8,22) (5,18) (9,13) (5,3) (26,2) (24,0) (0,16) (25,15) (7,14) (10,24) (8,20) (5,19) (11,14) (12,7) (9,21) (11,5) (21,0) (3,0) (5,4) (17,16) (16,15) (10,26) (6,2) (5,20) (23,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1211", - "image": "data/cycle/graph_visual/Base/hard/graph1211.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (17,5) (0,15) (20,2) (16,19) (23,18) (4,17) (25,11) (8,24) (10,17) (4,13) (27,20) (0,19) (0,21) (2,22) (2,0) (12,27) (20,6) (0,3) (26,1) (25,4) (1,0) (25,8) (16,23) (14,15) (6,25) (23,9) (7,16) (6,19) (0,4) (3,24) (18,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1742", - "image": "data/cycle/graph_visual/Base/hard/graph1742.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (21,6) (9,5) (24,20) (19,10) (3,16) (11,1) (14,8) (24,18) (24,1) (5,3) (2,0) (21,25) (1,0) (32,13) (32,26) (16,23) (14,4) (15,19) (27,9) (0,22) (12,23) (17,6) (27,4) (20,13) (1,7) (10,30) (23,29) (3,24) (9,0) (31,13) (22,17) (28,6) (18,19) (22,2) (3,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1443", - "image": "data/cycle/graph_visual/Base/hard/graph1443.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (26,0) (7,16) (24,25) (0,27) (19,6) (26,17) (11,0) (2,4) (13,2) (9,14) (7,25) (21,16) (15,9) (20,15) (24,29) (28,18) (13,18) (8,22) (15,25) (6,25) (16,5) (0,1) (22,5) (11,29) (4,25) (13,3) (23,16) (1,5) (12,20) (13,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1842", - "image": "data/cycle/graph_visual/Base/hard/graph1842.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (1,7) (0,1) (28,1) (10,16) (30,24) (16,18) (32,10) (10,11) (27,33) (14,32) (5,20) (21,31) (23,21) (6,29) (5,13) (13,10) (30,1) (2,11) (7,22) (2,0) (25,19) (4,3) (9,22) (0,17) (8,19) (0,29) (12,10) (11,15) (26,30) (0,33) (15,4) (19,21) (25,1) (23,29) (28,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1081", - "image": "data/cycle/graph_visual/Base/hard/graph1081.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (18,12) (3,2) (6,10) (4,0) (22,5) (23,14) (23,12) (4,14) (24,9) (17,24) (14,7) (21,1) (20,21) (3,22) (2,23) (1,8) (6,20) (17,3) (25,16) (16,13) (0,1) (11,13) (14,8) (19,11) (25,10) (5,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1119", - "image": "data/cycle/graph_visual/Base/hard/graph1119.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (26,14) (12,3) (20,9) (10,8) (0,5) (14,13) (15,2) (10,23) (3,16) (12,23) (22,26) (26,7) (11,0) (1,25) (24,4) (2,22) (24,0) (23,21) (26,9) (23,18) (24,16) (1,0) (17,16) (3,26) (6,17) (20,19) (13,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1224", - "image": "data/cycle/graph_visual/Base/hard/graph1224.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (2,4) (19,15) (0,3) (9,19) (14,23) (19,26) (0,2) (6,21) (26,18) (0,13) (8,6) (25,10) (24,16) (0,1) (11,9) (8,1) (20,12) (26,5) (7,0) (1,12) (19,27) (17,20) (14,0) (25,26) (3,17) (4,20) (2,5) (22,12) (16,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph868", - "image": "data/cycle/graph_visual/Base/hard/graph868.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (31,5) (15,12) (23,17) (21,22) (15,7) (0,33) (0,6) (26,31) (19,32) (32,14) (22,16) (23,9) (8,2) (2,10) (22,13) (28,19) (24,16) (29,14) (29,18) (25,14) (33,5) (27,13) (22,20) (30,26) (3,1) (29,26) (20,14) (7,21) (4,13) (25,17) (10,15) (1,11) (9,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1534", - "image": "data/cycle/graph_visual/Base/hard/graph1534.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (16,22) (14,7) (30,21) (0,4) (9,27) (0,1) (11,5) (9,22) (22,21) (23,18) (0,25) (0,17) (1,13) (2,0) (20,28) (29,18) (8,27) (3,0) (12,13) (2,16) (3,10) (26,16) (12,24) (6,22) (17,4) (12,18) (7,3) (22,24) (7,19) (3,5) (12,20) (9,15) (24,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1575", - "image": "data/cycle/graph_visual/Base/hard/graph1575.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (17,2) (15,28) (28,19) (9,13) (9,8) (28,18) (21,20) (11,22) (23,4) (15,6) (1,0) (1,21) (22,3) (1,4) (18,12) (24,25) (2,0) (17,23) (2,11) (30,20) (25,14) (8,11) (5,2) (10,18) (0,3) (20,16) (30,29) (7,21) (26,27) (0,6) (18,14) (8,15) (9,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph82", - "image": "data/cycle/graph_visual/Base/hard/graph82.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (18,2) (17,9) (25,1) (25,22) (11,25) (18,6) (20,10) (24,19) (16,4) (21,17) (13,8) (21,18) (3,23) (25,8) (18,3) (12,18) (15,5) (21,20) (7,17) (16,15) (0,13) (2,5) (14,25) (10,1) (24,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph605", - "image": "data/cycle/graph_visual/Base/hard/graph605.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (28,17) (16,6) (21,5) (19,10) (15,0) (16,17) (30,13) (1,4) (23,18) (18,19) (5,9) (3,14) (14,23) (1,16) (18,25) (29,11) (7,6) (5,23) (17,12) (21,24) (20,9) (15,30) (24,31) (8,25) (2,19) (6,11) (22,4) (25,26) (3,27) (1,13) (12,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph574", - "image": "data/cycle/graph_visual/Base/hard/graph574.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (15,6) (1,6) (3,0) (8,28) (25,24) (9,23) (28,26) (14,25) (30,6) (6,5) (9,13) (1,20) (2,18) (19,25) (6,4) (21,14) (17,6) (27,18) (20,10) (22,12) (14,29) (30,8) (18,3) (30,16) (30,11) (12,11) (23,7) (9,27) (0,15) (13,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1830", - "image": "data/cycle/graph_visual/Base/hard/graph1830.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (1,0) (21,6) (4,27) (9,19) (0,3) (8,10) (14,23) (22,31) (1,4) (32,21) (27,29) (32,24) (1,13) (10,31) (12,27) (14,13) (8,4) (6,15) (15,17) (32,25) (0,4) (28,13) (3,18) (7,32) (19,5) (8,3) (18,21) (9,26) (30,9) (10,16) (11,12) (8,2) (17,33) (20,0) (31,30) (6,20) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph720", - "image": "data/cycle/graph_visual/Base/hard/graph720.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (7,19) (28,0) (2,14) (16,2) (19,10) (24,3) (15,30) (12,27) (2,23) (24,17) (12,32) (18,24) (32,5) (8,5) (25,21) (27,31) (29,14) (20,27) (5,11) (11,9) (19,32) (26,32) (24,14) (1,5) (4,12) (29,0) (6,9) (16,25) (14,5) (22,13) (20,22) (30,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1940", - "image": "data/cycle/graph_visual/Base/hard/graph1940.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (20,28) (5,19) (16,33) (13,22) (9,2) (29,31) (0,23) (24,5) (7,21) (19,1) (7,23) (12,4) (6,9) (10,21) (26,17) (12,22) (27,20) (1,0) (14,34) (13,28) (0,17) (17,1) (32,31) (25,24) (32,4) (11,5) (18,34) (11,16) (12,30) (3,12) (27,26) (20,15) (6,17) (0,2) (30,18) (8,34)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1911", - "image": "data/cycle/graph_visual/Base/hard/graph1911.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (5,21) (20,18) (22,18) (9,10) (21,11) (13,32) (25,22) (28,1) (0,1) (4,13) (31,19) (2,0) (32,2) (16,1) (14,24) (12,30) (3,29) (27,22) (24,7) (14,28) (17,10) (33,15) (8,30) (11,19) (34,6) (34,18) (24,11) (28,15) (1,27) (9,28) (19,29) (4,8) (0,23) (26,14) (32,21) (0,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1738", - "image": "data/cycle/graph_visual/Base/hard/graph1738.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (24,7) (21,29) (2,11) (25,12) (17,26) (1,20) (30,24) (3,23) (25,13) (31,14) (29,23) (12,10) (0,2) (0,14) (31,5) (17,1) (5,25) (2,5) (32,6) (29,12) (8,18) (4,24) (31,22) (8,9) (16,7) (28,31) (13,19) (26,30) (32,15) (1,0) (1,14) (16,6) (27,24) (8,15) (0,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1086", - "image": "data/cycle/graph_visual/Base/hard/graph1086.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (7,1) (10,9) (12,18) (3,25) (4,2) (4,15) (9,25) (17,16) (23,1) (3,13) (20,2) (2,0) (8,24) (7,16) (6,7) (11,17) (5,24) (3,5) (11,8) (9,21) (12,17) (14,23) (12,0) (15,19) (1,0) (22,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph685", - "image": "data/cycle/graph_visual/Base/hard/graph685.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (2,13) (31,28) (3,24) (9,17) (7,24) (15,5) (6,11) (10,16) (9,18) (26,28) (10,1) (31,25) (31,21) (7,1) (27,19) (13,20) (4,23) (10,12) (5,16) (29,22) (19,4) (20,21) (13,8) (20,10) (0,28) (30,19) (2,23) (14,12) (18,0) (10,11) (5,29)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1297", - "image": "data/cycle/graph_visual/Base/hard/graph1297.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (18,22) (23,21) (27,6) (19,8) (11,9) (6,0) (0,1) (27,24) (21,18) (15,1) (26,5) (16,27) (8,1) (12,2) (1,9) (13,20) (24,17) (4,24) (27,26) (12,20) (18,9) (15,14) (26,7) (3,0) (23,26) (0,2) (3,25) (3,18) (3,13) (10,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1319", - "image": "data/cycle/graph_visual/Base/hard/graph1319.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (8,10) (23,10) (4,24) (16,27) (3,26) (18,23) (20,9) (26,7) (16,3) (0,2) (1,0) (17,16) (24,28) (28,14) (0,3) (9,26) (0,4) (20,19) (23,12) (3,12) (24,0) (0,5) (11,0) (26,13) (2,15) (22,2) (13,14) (25,27) (22,26) (21,23) (1,25) (6,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph896", - "image": "data/cycle/graph_visual/Base/hard/graph896.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (24,16) (11,13) (26,1) (23,13) (17,12) (25,6) (2,30) (32,1) (23,32) (4,18) (8,12) (1,24) (9,1) (22,19) (28,17) (29,14) (22,3) (33,23) (31,11) (18,33) (27,15) (8,20) (6,5) (13,3) (27,29) (26,28) (2,23) (21,0) (7,5) (10,19) (5,31) (22,27) (14,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1945", - "image": "data/cycle/graph_visual/Base/hard/graph1945.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (29,11) (27,20) (28,29) (6,2) (5,12) (14,34) (6,14) (24,9) (7,22) (26,8) (4,27) (14,30) (22,12) (22,10) (21,7) (9,32) (24,15) (3,20) (19,29) (7,26) (32,14) (34,17) (13,14) (14,31) (0,24) (23,0) (27,30) (1,12) (0,10) (25,4) (1,0) (28,30) (16,34) (33,8) (14,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph484", - "image": "data/cycle/graph_visual/Base/hard/graph484.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (18,28) (11,22) (26,9) (17,2) (6,15) (8,9) (22,3) (16,20) (20,29) (19,28) (1,21) (13,9) (20,21) (25,14) (8,11) (1,4) (25,24) (26,27) (5,2) (10,18) (21,7) (0,6) (17,23) (15,8) (28,15) (23,4) (14,18) (2,11) (18,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph349", - "image": "data/cycle/graph_visual/Base/hard/graph349.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (20,21) (28,1) (26,5) (14,25) (15,16) (28,17) (3,18) (6,18) (11,25) (9,17) (13,0) (5,15) (26,27) (22,24) (25,23) (8,13) (3,24) (25,8) (21,18) (16,4) (1,10) (19,21) (10,20) (17,7) (18,12) (2,18) (2,26) (25,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph73", - "image": "data/cycle/graph_visual/Base/hard/graph73.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (21,0) (21,19) (24,7) (2,8) (23,22) (10,4) (12,0) (1,15) (8,15) (17,0) (18,25) (11,9) (7,17) (14,4) (13,12) (16,11) (6,21) (16,5) (22,19) (19,4) (3,21) (15,11) (14,20) (25,14) (8,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1139", - "image": "data/cycle/graph_visual/Base/hard/graph1139.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (3,0) (5,19) (19,10) (0,1) (2,7) (1,8) (15,22) (25,11) (22,1) (13,23) (6,4) (13,22) (0,19) (0,2) (5,17) (10,25) (1,26) (16,3) (12,14) (20,18) (7,8) (0,9) (14,5) (21,23) (3,23) (7,4) (11,20) (17,21) (2,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1886", - "image": "data/cycle/graph_visual/Base/hard/graph1886.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (27,5) (24,15) (14,23) (19,30) (3,0) (21,32) (5,33) (15,16) (1,4) (11,19) (6,9) (1,0) (22,31) (0,26) (19,18) (26,13) (19,14) (17,18) (8,24) (24,26) (29,1) (15,6) (21,29) (28,21) (12,3) (14,21) (20,28) (5,15) (31,3) (12,10) (4,25) (23,2) (25,9) (29,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1554", - "image": "data/cycle/graph_visual/Base/hard/graph1554.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (19,26) (6,15) (26,14) (3,30) (29,25) (0,2) (10,5) (12,5) (30,6) (25,6) (14,20) (21,14) (19,24) (18,1) (11,25) (23,8) (25,17) (12,30) (14,13) (4,0) (0,1) (16,27) (27,15) (26,11) (9,21) (6,7) (18,23) (2,5) (3,0) (30,28) (7,8) (4,21) (14,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1493", - "image": "data/cycle/graph_visual/Base/hard/graph1493.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (14,11) (16,18) (26,8) (21,14) (17,20) (29,2) (22,1) (25,19) (15,26) (14,29) (6,19) (26,3) (14,13) (25,9) (19,27) (20,11) (23,13) (5,2) (23,10) (20,1) (23,12) (29,9) (3,21) (1,0) (19,4) (21,7) (16,24) (12,28) (25,16) (0,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1710", - "image": "data/cycle/graph_visual/Base/hard/graph1710.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (16,21) (25,23) (30,18) (28,24) (12,11) (30,2) (27,28) (7,9) (9,22) (30,12) (15,27) (16,19) (0,3) (28,20) (2,0) (32,7) (23,10) (29,4) (6,29) (0,12) (8,1) (21,3) (2,26) (4,0) (1,9) (0,1) (10,7) (17,15) (6,21) (3,5) (32,13) (0,27) (5,11) (22,31) (8,24) (14,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph944", - "image": "data/cycle/graph_visual/Base/hard/graph944.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (1,21) (22,29) (2,5) (30,26) (30,24) (7,24) (26,33) (27,29) (4,6) (12,11) (24,9) (10,8) (32,15) (5,31) (17,33) (13,20) (14,0) (14,1) (23,3) (1,17) (5,25) (31,23) (4,34) (8,19) (12,25) (16,6) (7,16) (8,15) (18,2) (32,12) (31,14) (24,28) (25,13) (29,31)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1013", - "image": "data/cycle/graph_visual/Base/hard/graph1013.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (17,25) (10,16) (3,1) (4,14) (7,5) (24,14) (17,23) (14,20) (18,13) (4,25) (10,17) (2,0) (1,6) (17,15) (3,25) (25,12) (0,21) (1,0) (5,2) (13,19) (0,3) (2,19) (11,8) (21,13) (14,18) (11,25) (16,22) (10,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1731", - "image": "data/cycle/graph_visual/Base/hard/graph1731.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (6,19) (15,17) (0,12) (20,10) (32,12) (28,9) (1,32) (17,16) (26,9) (10,24) (28,7) (20,4) (20,17) (11,13) (28,14) (22,17) (2,8) (0,29) (7,5) (27,0) (19,7) (21,29) (18,11) (8,14) (30,32) (26,15) (28,23) (13,22) (27,16) (1,0) (31,2) (3,7) (32,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph27", - "image": "data/cycle/graph_visual/Base/hard/graph27.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (25,16) (17,4) (25,2) (0,22) (18,11) (4,14) (16,9) (7,20) (18,15) (1,20) (5,12) (18,17) (4,0) (3,2) (23,2) (1,21) (0,1) (10,24) (6,1) (12,7) (16,13) (18,8) (20,10) (25,19) (9,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph819", - "image": "data/cycle/graph_visual/Base/hard/graph819.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (14,25) (18,25) (18,32) (15,11) (30,4) (22,26) (23,3) (12,28) (26,6) (19,8) (17,22) (11,2) (31,2) (28,16) (24,23) (29,13) (16,21) (3,6) (13,30) (12,7) (20,18) (24,28) (0,27) (1,12) (2,9) (13,5) (11,19) (8,6) (15,33) (28,4) (18,19) (31,0) (12,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1858", - "image": "data/cycle/graph_visual/Base/hard/graph1858.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (0,21) (1,27) (29,1) (0,3) (31,28) (15,31) (8,2) (23,17) (12,6) (11,13) (27,19) (20,6) (13,24) (33,1) (14,28) (30,0) (5,7) (8,28) (26,1) (4,16) (0,1) (4,3) (24,0) (1,20) (9,30) (24,18) (10,24) (16,1) (25,6) (22,28) (31,33) (2,0) (32,14) (17,14) (13,27) (7,31)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1636", - "image": "data/cycle/graph_visual/Base/hard/graph1636.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (10,29) (29,24) (29,1) (1,23) (8,12) (4,27) (31,18) (14,6) (19,9) (29,7) (20,22) (26,17) (10,30) (13,22) (17,16) (20,6) (11,2) (31,28) (1,0) (28,0) (31,21) (3,31) (4,0) (27,8) (30,2) (15,5) (2,0) (3,19) (0,3) (16,5) (9,12) (1,19) (24,25) (12,26) (22,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph635", - "image": "data/cycle/graph_visual/Base/hard/graph635.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (29,25) (14,12) (8,18) (3,30) (25,7) (5,9) (2,16) (1,5) (19,13) (1,29) (26,1) (16,14) (28,25) (12,17) (27,5) (0,30) (28,23) (25,13) (4,11) (9,21) (1,15) (2,6) (24,12) (17,20) (8,31) (0,4) (26,22) (6,11) (5,12) (18,13) (7,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph476", - "image": "data/cycle/graph_visual/Base/hard/graph476.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (18,17) (16,4) (18,9) (20,26) (22,1) (1,27) (7,14) (29,17) (12,27) (19,18) (11,18) (1,8) (28,13) (7,20) (25,10) (10,20) (2,25) (1,26) (25,21) (4,17) (5,2) (28,3) (28,29) (0,23) (0,4) (2,24) (0,26) (6,12) (15,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1890", - "image": "data/cycle/graph_visual/Base/hard/graph1890.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (6,19) (16,17) (12,33) (2,32) (0,1) (22,13) (28,24) (20,17) (2,8) (12,0) (10,20) (7,5) (18,11) (30,0) (21,29) (14,28) (31,32) (9,26) (29,32) (16,27) (14,8) (1,32) (4,20) (33,22) (0,27) (17,23) (13,11) (7,3) (15,17) (26,15) (25,10) (9,28) (7,19) (7,28)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1204", - "image": "data/cycle/graph_visual/Base/hard/graph1204.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (16,0) (11,19) (5,22) (17,26) (0,3) (19,15) (24,13) (4,14) (18,11) (12,27) (1,9) (16,13) (8,11) (14,3) (12,13) (25,20) (19,27) (0,1) (0,23) (18,25) (2,0) (2,1) (6,24) (15,22) (19,14) (17,24) (21,3) (21,9) (4,7) (22,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1716", - "image": "data/cycle/graph_visual/Base/hard/graph1716.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (19,9) (7,20) (8,18) (6,0) (27,8) (14,21) (24,30) (31,2) (6,31) (2,0) (18,1) (15,12) (11,29) (0,15) (16,29) (9,2) (21,23) (20,16) (27,12) (18,32) (0,5) (1,0) (31,4) (28,2) (8,14) (25,22) (23,17) (2,25) (12,10) (29,9) (3,2) (31,13) (30,18) (26,32)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1373", - "image": "data/cycle/graph_visual/Base/hard/graph1373.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (14,4) (0,3) (2,0) (5,11) (14,24) (15,23) (4,13) (18,11) (0,21) (28,5) (11,14) (1,15) (20,8) (21,19) (26,19) (12,16) (9,21) (0,17) (2,8) (22,25) (10,11) (0,12) (8,15) (20,25) (0,1) (6,16) (22,27) (17,7) (0,4) (7,27) (21,3) (19,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph533", - "image": "data/cycle/graph_visual/Base/hard/graph533.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (6,23) (21,8) (22,3) (28,14) (16,4) (21,7) (4,10) (19,20) (15,30) (27,5) (29,18) (5,0) (4,3) (28,13) (20,27) (8,17) (1,28) (27,23) (24,11) (28,26) (13,0) (2,3) (25,18) (28,21) (18,30) (10,15) (13,2) (24,10) (25,9) (28,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph168", - "image": "data/cycle/graph_visual/Base/hard/graph168.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (6,7) (26,5) (24,25) (24,21) (12,7) (5,19) (14,9) (16,10) (2,21) (4,14) (13,15) (20,17) (14,8) (22,3) (21,16) (3,10) (18,15) (5,25) (22,8) (20,15) (15,9) (8,6) (11,10) (5,0) (6,23) (1,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1809", - "image": "data/cycle/graph_visual/Base/hard/graph1809.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (28,32) (9,30) (11,14) (21,14) (7,29) (23,9) (12,33) (7,27) (20,19) (26,23) (3,20) (17,33) (10,2) (30,29) (17,28) (25,30) (6,25) (4,29) (4,16) (4,0) (5,24) (1,0) (8,1) (22,21) (13,9) (2,15) (33,18) (3,1) (21,32) (8,18) (31,4) (5,25) (1,2) (27,14) (0,2) (3,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1499", - "image": "data/cycle/graph_visual/Base/hard/graph1499.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (23,2) (12,24) (8,10) (5,12) (13,9) (7,15) (22,3) (20,18) (11,8) (29,18) (9,6) (26,19) (7,27) (10,17) (22,26) (7,5) (4,8) (29,23) (8,16) (2,6) (20,28) (1,0) (14,2) (0,20) (11,26) (26,15) (15,1) (2,26) (17,21) (25,29)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph767", - "image": "data/cycle/graph_visual/Base/hard/graph767.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (28,20) (22,29) (21,7) (16,3) (18,22) (12,19) (18,32) (3,11) (32,17) (5,12) (26,1) (25,1) (1,7) (4,14) (31,4) (11,9) (15,25) (16,23) (24,26) (2,7) (5,29) (11,27) (17,0) (6,32) (26,22) (31,27) (10,29) (12,16) (30,8) (28,27) (13,19) (31,30)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph563", - "image": "data/cycle/graph_visual/Base/hard/graph563.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (3,26) (17,12) (29,12) (6,18) (10,20) (22,28) (28,2) (5,26) (16,4) (30,27) (25,0) (23,1) (14,29) (10,29) (10,9) (5,13) (6,3) (27,0) (20,13) (10,11) (11,8) (21,24) (8,4) (10,19) (11,7) (15,21) (8,2) (22,1) (16,25) (0,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph36", - "image": "data/cycle/graph_visual/Base/hard/graph36.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (25,11) (10,9) (14,24) (4,14) (2,19) (16,22) (25,4) (17,25) (17,23) (14,18) (25,12) (3,25) (1,6) (19,13) (14,20) (2,5) (1,3) (5,7) (11,8) (21,13) (17,15) (13,18) (16,10) (17,10) (0,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph121", - "image": "data/cycle/graph_visual/Base/hard/graph121.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (8,6) (17,24) (3,21) (22,6) (20,5) (5,16) (6,2) (14,4) (15,1) (16,19) (10,19) (24,21) (0,23) (7,23) (6,26) (13,22) (17,11) (24,4) (19,21) (13,23) (15,18) (25,7) (1,12) (9,13) (13,20) (1,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph519", - "image": "data/cycle/graph_visual/Base/hard/graph519.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (27,7) (23,16) (21,2) (5,24) (11,30) (12,26) (15,8) (6,20) (19,23) (14,21) (9,23) (25,12) (14,9) (3,8) (17,8) (27,28) (22,4) (19,1) (3,29) (21,27) (7,8) (7,13) (24,12) (16,10) (20,2) (28,30) (22,14) (18,9) (3,0) (29,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1337", - "image": "data/cycle/graph_visual/Base/hard/graph1337.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (2,12) (21,12) (20,0) (15,25) (8,12) (1,2) (11,5) (0,2) (15,23) (6,28) (3,7) (25,7) (18,15) (12,26) (0,3) (9,4) (7,4) (10,6) (14,12) (0,14) (1,13) (16,19) (1,0) (4,17) (6,16) (26,27) (28,2) (6,18) (22,20) (22,11) (24,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph20", - "image": "data/cycle/graph_visual/Base/hard/graph20.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (14,9) (15,23) (6,20) (9,17) (14,20) (0,3) (21,2) (21,14) (22,9) (24,5) (25,7) (3,24) (23,12) (1,19) (24,12) (8,13) (10,16) (23,18) (21,12) (8,7) (3,8) (4,22) (8,16) (11,7) (2,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1055", - "image": "data/cycle/graph_visual/Base/hard/graph1055.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (15,9) (13,15) (6,20) (19,5) (14,4) (8,6) (24,25) (12,7) (0,5) (8,14) (18,15) (16,10) (22,3) (25,23) (22,8) (3,10) (6,7) (10,11) (16,21) (2,21) (5,15) (24,21) (9,14) (17,20) (3,1) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph763", - "image": "data/cycle/graph_visual/Base/hard/graph763.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (13,22) (27,23) (14,17) (15,2) (19,28) (32,9) (19,25) (1,27) (20,21) (15,5) (1,16) (0,8) (11,22) (17,3) (7,30) (20,18) (7,3) (9,31) (20,3) (3,24) (28,6) (12,26) (29,26) (12,11) (11,25) (21,16) (10,7) (14,5) (11,16) (4,1) (11,8) (19,32)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph814", - "image": "data/cycle/graph_visual/Base/hard/graph814.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (11,14) (14,21) (29,7) (28,32) (18,8) (25,30) (16,4) (22,21) (4,31) (20,3) (6,25) (33,12) (13,9) (18,33) (30,9) (17,28) (29,30) (0,4) (24,5) (1,2) (29,4) (3,1) (8,1) (23,26) (5,25) (2,15) (33,17) (14,27) (10,2) (19,20) (32,21) (7,27) (9,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph480", - "image": "data/cycle/graph_visual/Base/hard/graph480.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (28,24) (6,23) (5,27) (8,2) (3,8) (24,16) (1,4) (3,15) (29,22) (10,2) (13,12) (19,13) (15,14) (15,0) (15,11) (4,18) (21,25) (28,25) (22,0) (0,24) (24,9) (12,26) (14,17) (26,27) (7,25) (3,6) (20,12) (20,18) (19,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph459", - "image": "data/cycle/graph_visual/Base/hard/graph459.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (1,11) (6,19) (0,8) (22,12) (10,15) (3,12) (26,18) (13,20) (23,25) (21,28) (27,0) (15,9) (5,23) (20,3) (13,9) (0,24) (7,14) (29,28) (27,12) (17,10) (26,19) (1,2) (16,5) (12,11) (29,16) (20,28) (19,11) (4,18) (16,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph376", - "image": "data/cycle/graph_visual/Base/hard/graph376.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (5,18) (1,18) (6,15) (21,27) (3,13) (15,4) (23,8) (0,27) (22,25) (21,19) (12,16) (9,11) (19,1) (4,5) (11,12) (11,2) (28,3) (5,23) (2,14) (28,10) (26,11) (19,26) (3,12) (17,24) (7,18) (17,28) (25,3) (3,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph9", - "image": "data/cycle/graph_visual/Base/hard/graph9.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (4,7) (16,1) (15,14) (6,17) (22,25) (9,12) (11,21) (5,7) (19,22) (16,17) (13,17) (18,21) (0,7) (20,10) (23,14) (8,7) (3,5) (24,8) (22,12) (17,23) (2,17) (16,20) (12,11) (12,8) (10,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph39", - "image": "data/cycle/graph_visual/Base/hard/graph39.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (19,22) (20,17) (9,8) (2,15) (0,11) (8,0) (7,3) (10,14) (10,22) (12,24) (24,2) (10,21) (25,22) (18,20) (6,5) (16,15) (3,11) (23,4) (23,3) (16,19) (22,17) (4,1) (6,17) (13,24) (12,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph600", - "image": "data/cycle/graph_visual/Base/hard/graph600.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (11,5) (7,15) (22,20) (19,6) (9,18) (21,25) (21,4) (12,24) (15,14) (21,17) (0,30) (3,23) (21,14) (14,20) (27,29) (27,26) (6,27) (30,8) (28,5) (16,5) (20,13) (4,5) (23,22) (12,4) (2,17) (17,27) (21,10) (22,9) (0,14) (31,1) (6,31)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1754", - "image": "data/cycle/graph_visual/Base/hard/graph1754.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (12,13) (14,19) (13,32) (8,14) (10,25) (29,12) (7,1) (25,1) (17,8) (22,9) (13,15) (7,5) (28,14) (28,21) (18,7) (3,0) (20,8) (26,24) (5,27) (0,5) (25,23) (13,26) (4,0) (11,9) (25,21) (2,3) (6,7) (30,0) (16,2) (30,21) (9,2) (15,23) (3,8) (0,2) (0,1) (13,31)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph128", - "image": "data/cycle/graph_visual/Base/hard/graph128.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (14,7) (7,6) (9,3) (7,8) (18,13) (0,17) (19,16) (23,11) (0,19) (21,23) (2,25) (0,10) (3,21) (4,15) (1,13) (26,17) (16,7) (18,24) (17,22) (8,12) (2,6) (2,23) (1,0) (23,4) (3,20) (5,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph50", - "image": "data/cycle/graph_visual/Base/hard/graph50.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (22,24) (8,22) (20,24) (4,19) (0,16) (0,9) (1,15) (18,15) (16,8) (7,1) (23,11) (14,25) (16,14) (21,23) (3,9) (10,6) (19,11) (2,23) (17,4) (13,10) (17,15) (21,12) (24,17) (14,6) (5,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph693", - "image": "data/cycle/graph_visual/Base/hard/graph693.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (31,24) (0,17) (31,18) (11,5) (9,21) (29,16) (12,22) (12,4) (6,17) (27,20) (13,22) (19,1) (17,1) (5,19) (27,26) (30,12) (20,28) (28,13) (10,20) (12,3) (6,8) (2,9) (24,21) (5,23) (14,7) (15,0) (17,26) (30,18) (7,23) (11,16) (4,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1923", - "image": "data/cycle/graph_visual/Base/hard/graph1923.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (22,20) (32,13) (17,8) (16,33) (2,3) (34,6) (12,26) (7,19) (26,9) (11,2) (30,25) (21,24) (16,22) (2,19) (1,4) (5,19) (30,4) (6,20) (4,26) (3,9) (17,9) (13,27) (31,14) (0,1) (29,18) (21,1) (7,18) (0,2) (5,23) (0,7) (17,10) (20,11) (27,4) (8,31) (0,28) (16,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph525", - "image": "data/cycle/graph_visual/Base/hard/graph525.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (1,25) (13,10) (10,28) (0,30) (26,8) (7,28) (15,3) (16,11) (12,6) (23,8) (27,30) (4,18) (2,21) (6,20) (14,16) (21,18) (4,19) (17,16) (24,10) (0,9) (28,9) (29,8) (5,1) (11,12) (26,3) (3,22) (8,19) (25,13) (9,16) (24,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1832", - "image": "data/cycle/graph_visual/Base/hard/graph1832.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (23,25) (7,18) (30,0) (21,14) (1,30) (16,8) (8,21) (28,22) (27,5) (14,33) (6,25) (15,11) (31,4) (12,10) (2,0) (32,9) (6,9) (30,16) (25,33) (26,27) (29,15) (24,11) (22,0) (3,26) (21,18) (16,19) (0,1) (17,2) (3,28) (4,13) (4,5) (16,17) (3,0) (31,15) (23,20) (12,4) (0,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph742", - "image": "data/cycle/graph_visual/Base/hard/graph742.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (26,16) (10,19) (20,1) (24,29) (32,5) (0,25) (9,1) (2,4) (9,19) (5,18) (14,23) (13,24) (16,17) (18,4) (30,14) (11,3) (20,28) (7,23) (31,15) (23,29) (26,1) (22,6) (12,14) (0,28) (8,21) (32,22) (14,21) (15,22) (22,17) (11,8) (31,23) (27,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph325", - "image": "data/cycle/graph_visual/Base/hard/graph325.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (22,12) (23,1) (0,20) (4,25) (23,18) (24,11) (3,27) (8,4) (2,19) (1,5) (6,14) (1,21) (27,5) (7,28) (28,1) (28,8) (19,14) (10,16) (23,14) (17,16) (11,16) (23,26) (15,13) (5,22) (9,6) (23,11) (27,0) (22,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph852", - "image": "data/cycle/graph_visual/Base/hard/graph852.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (2,29) (19,13) (16,3) (30,16) (3,13) (6,25) (29,1) (10,7) (11,4) (33,7) (25,13) (10,24) (22,8) (14,21) (29,5) (20,7) (26,13) (9,11) (27,7) (14,19) (29,25) (5,28) (17,29) (18,32) (15,27) (23,26) (0,9) (22,23) (12,22) (31,21) (17,24) (32,11) (12,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1797", - "image": "data/cycle/graph_visual/Base/hard/graph1797.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (0,3) (13,22) (8,7) (5,25) (0,27) (1,32) (9,14) (1,0) (16,6) (26,4) (22,11) (29,3) (9,15) (18,21) (17,25) (21,17) (3,20) (2,5) (5,30) (5,20) (29,10) (16,26) (21,8) (9,29) (30,26) (14,28) (19,13) (4,23) (2,0) (21,19) (24,10) (0,8) (12,4) (31,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph999", - "image": "data/cycle/graph_visual/Base/hard/graph999.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (1,12) (30,13) (1,30) (7,33) (2,32) (8,13) (9,14) (2,0) (19,2) (34,11) (15,1) (27,10) (13,5) (27,14) (18,34) (32,7) (30,17) (24,28) (23,15) (29,34) (0,29) (26,25) (22,15) (32,20) (8,9) (31,34) (3,8) (12,26) (21,10) (24,23) (6,27) (4,12) (3,16) (18,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph746", - "image": "data/cycle/graph_visual/Base/hard/graph746.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (28,9) (22,23) (32,5) (14,25) (30,32) (17,27) (16,20) (30,28) (7,27) (6,14) (28,13) (3,18) (16,2) (15,21) (24,2) (1,18) (19,4) (28,25) (7,16) (12,21) (0,26) (26,10) (8,22) (12,30) (23,29) (8,7) (10,8) (14,18) (14,23) (29,4) (14,31) (11,29)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1619", - "image": "data/cycle/graph_visual/Base/hard/graph1619.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (9,19) (14,6) (24,29) (31,21) (18,31) (7,29) (24,25) (22,17) (8,27) (1,29) (12,26) (17,16) (15,5) (16,5) (12,8) (9,12) (30,10) (31,3) (19,3) (11,2) (22,13) (0,28) (27,4) (17,26) (31,28) (22,20) (19,1) (29,10) (1,0) (23,1) (2,30) (20,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph534", - "image": "data/cycle/graph_visual/Base/hard/graph534.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (9,19) (6,13) (15,13) (8,18) (23,19) (0,9) (7,11) (29,23) (21,10) (21,16) (26,28) (25,30) (9,5) (8,7) (0,14) (27,13) (14,12) (2,15) (20,22) (20,7) (25,0) (22,17) (1,11) (27,9) (15,3) (24,9) (7,0) (4,21) (30,4) (26,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1333", - "image": "data/cycle/graph_visual/Base/hard/graph1333.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (7,6) (6,0) (27,15) (27,25) (24,7) (7,20) (13,24) (3,5) (24,21) (22,21) (27,26) (10,14) (23,12) (19,18) (19,28) (7,17) (21,18) (1,22) (4,26) (3,10) (8,28) (11,16) (18,11) (9,6) (24,14) (12,17) (17,27) (1,0) (2,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1177", - "image": "data/cycle/graph_visual/Base/hard/graph1177.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (20,25) (8,2) (7,25) (13,12) (12,0) (11,26) (17,0) (11,16) (7,17) (8,15) (4,14) (2,0) (21,3) (19,22) (0,21) (3,0) (22,24) (4,19) (0,1) (21,6) (21,19) (9,11) (8,20) (11,14) (16,5) (4,10) (18,15) (23,14) (15,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1045", - "image": "data/cycle/graph_visual/Base/hard/graph1045.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (23,0) (25,6) (18,8) (6,18) (20,12) (1,0) (2,19) (10,20) (17,13) (16,14) (24,0) (5,15) (16,17) (2,0) (21,7) (13,22) (0,4) (3,7) (11,3) (18,24) (24,9) (2,10) (1,17) (22,6) (11,19) (15,9) (8,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph473", - "image": "data/cycle/graph_visual/Base/hard/graph473.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (26,16) (18,13) (25,17) (17,10) (25,19) (10,8) (1,3) (1,4) (29,25) (14,18) (11,7) (10,16) (29,9) (12,27) (21,17) (29,11) (2,5) (17,28) (25,15) (14,26) (23,14) (3,25) (13,27) (20,27) (13,22) (21,0) (24,26) (19,2) (5,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph56", - "image": "data/cycle/graph_visual/Base/hard/graph56.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (21,3) (1,13) (2,24) (7,6) (7,8) (17,22) (23,21) (4,15) (6,2) (0,1) (0,19) (12,8) (4,23) (3,9) (0,10) (20,5) (18,13) (16,19) (7,14) (20,3) (23,11) (17,2) (23,18) (7,16) (25,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1122", - "image": "data/cycle/graph_visual/Base/hard/graph1122.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (10,14) (6,26) (20,8) (6,15) (14,18) (6,25) (3,21) (7,8) (14,17) (18,1) (5,9) (26,19) (2,0) (24,25) (21,4) (11,25) (22,11) (1,0) (16,14) (13,23) (12,5) (14,26) (15,23) (19,21) (12,25) (7,6) (5,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1661", - "image": "data/cycle/graph_visual/Base/hard/graph1661.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (16,28) (8,2) (3,0) (31,2) (10,0) (26,23) (20,6) (1,0) (12,30) (22,12) (6,2) (7,16) (12,18) (19,26) (1,14) (6,28) (5,23) (25,5) (16,26) (13,20) (31,15) (31,4) (5,21) (1,17) (4,0) (12,17) (0,2) (21,27) (9,30) (0,9) (23,11) (6,18) (24,16) (27,29) (3,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1931", - "image": "data/cycle/graph_visual/Base/hard/graph1931.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (13,23) (0,2) (27,29) (31,15) (28,9) (33,5) (18,20) (10,2) (30,6) (34,6) (21,19) (14,25) (14,5) (4,23) (10,22) (4,11) (6,8) (25,22) (26,3) (27,7) (24,0) (32,33) (26,31) (16,2) (0,15) (17,20) (24,23) (23,34) (12,29) (17,21) (30,19) (0,1) (33,27) (9,1) (9,30) (1,32)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1289", - "image": "data/cycle/graph_visual/Base/hard/graph1289.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (5,26) (18,3) (3,25) (7,26) (19,8) (0,10) (8,1) (24,27) (3,13) (9,18) (0,1) (18,21) (6,27) (9,1) (23,26) (16,27) (0,6) (0,3) (27,26) (17,24) (23,21) (9,11) (15,1) (2,12) (15,14) (12,20) (20,13) (24,4) (4,0) (2,0) (18,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph195", - "image": "data/cycle/graph_visual/Base/hard/graph195.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (16,8) (13,0) (2,21) (18,9) (13,25) (15,14) (4,11) (7,20) (4,5) (9,3) (1,7) (24,0) (21,5) (7,8) (20,25) (9,6) (25,17) (26,23) (22,2) (19,25) (10,1) (14,10) (25,23) (4,12) (1,12) (18,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1536", - "image": "data/cycle/graph_visual/Base/hard/graph1536.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (11,23) (25,20) (4,30) (5,25) (3,18) (4,0) (16,26) (6,0) (7,2) (0,2) (18,19) (7,30) (1,0) (4,27) (9,1) (10,15) (26,22) (18,0) (13,12) (11,1) (26,14) (13,27) (16,15) (24,8) (30,28) (23,29) (3,0) (1,5) (10,2) (8,20) (17,15) (1,13) (21,15) (14,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph447", - "image": "data/cycle/graph_visual/Base/hard/graph447.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (0,3) (16,12) (7,16) (12,22) (18,19) (27,0) (8,1) (2,15) (16,6) (11,17) (8,25) (13,15) (5,14) (4,3) (2,18) (26,24) (8,13) (17,13) (11,28) (20,5) (14,6) (27,24) (18,9) (13,0) (16,23) (9,21) (14,3) (15,29) (10,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1357", - "image": "data/cycle/graph_visual/Base/hard/graph1357.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (25,27) (27,15) (5,3) (1,0) (2,0) (0,6) (19,28) (6,7) (24,7) (27,26) (14,10) (24,13) (11,16) (1,22) (21,22) (10,3) (7,17) (19,2) (12,23) (27,17) (11,18) (9,6) (18,19) (4,26) (21,24) (18,21) (7,20) (17,12) (14,24) (8,28)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph962", - "image": "data/cycle/graph_visual/Base/hard/graph962.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (22,20) (31,7) (8,0) (3,33) (19,25) (24,27) (34,17) (23,11) (11,8) (3,18) (14,5) (29,19) (20,3) (25,11) (5,15) (6,28) (16,1) (21,16) (1,28) (20,21) (22,13) (33,7) (12,11) (16,11) (4,1) (19,32) (3,27) (17,9) (2,15) (7,10) (26,30) (32,9) (26,12) (14,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1787", - "image": "data/cycle/graph_visual/Base/hard/graph1787.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (18,25) (25,8) (20,13) (31,15) (22,17) (4,19) (18,31) (1,14) (24,10) (32,0) (25,4) (2,31) (11,5) (6,13) (23,21) (16,22) (9,27) (21,28) (26,0) (20,32) (29,5) (9,8) (1,30) (27,1) (0,1) (7,20) (29,22) (11,21) (20,28) (12,18) (2,0) (3,11) (21,10) (21,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1386", - "image": "data/cycle/graph_visual/Base/hard/graph1386.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (16,9) (7,16) (11,12) (27,9) (1,25) (10,28) (22,8) (11,16) (16,15) (28,5) (19,8) (20,18) (24,10) (23,13) (9,28) (24,3) (3,21) (6,17) (1,2) (0,21) (8,25) (3,26) (1,0) (14,3) (6,12) (4,18) (10,13) (8,26) (4,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1764", - "image": "data/cycle/graph_visual/Base/hard/graph1764.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (23,2) (3,24) (12,4) (16,2) (30,3) (29,0) (13,22) (6,9) (24,14) (5,8) (11,5) (15,30) (19,32) (11,9) (2,14) (22,20) (17,24) (0,1) (2,0) (25,16) (10,19) (27,20) (5,32) (12,32) (3,0) (26,32) (31,27) (12,27) (25,21) (24,18) (1,5) (28,0) (5,14) (19,7) (14,29)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph235", - "image": "data/cycle/graph_visual/Base/hard/graph235.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (24,22) (3,8) (26,5) (9,25) (2,4) (21,9) (5,24) (23,14) (9,10) (16,17) (25,24) (17,11) (23,1) (27,8) (18,12) (12,17) (0,12) (13,3) (15,19) (11,8) (7,16) (2,20) (6,7) (2,0) (4,15) (1,7) (3,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1516", - "image": "data/cycle/graph_visual/Base/hard/graph1516.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (28,2) (30,1) (16,21) (22,1) (10,26) (7,29) (22,19) (20,26) (13,0) (0,2) (24,29) (14,17) (15,20) (4,9) (10,25) (17,28) (13,28) (14,16) (9,27) (14,12) (7,2) (6,20) (6,8) (17,23) (19,15) (0,1) (18,14) (13,27) (3,9) (3,0) (8,14) (11,7) (5,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph500", - "image": "data/cycle/graph_visual/Base/hard/graph500.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (0,29) (21,7) (12,28) (1,15) (18,10) (6,23) (15,9) (10,22) (28,11) (12,20) (13,30) (19,2) (14,7) (4,14) (17,5) (1,6) (14,19) (28,6) (12,24) (23,29) (25,15) (28,27) (15,16) (25,17) (17,14) (8,9) (3,4) (29,26) (23,18) (30,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1579", - "image": "data/cycle/graph_visual/Base/hard/graph1579.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (1,23) (11,23) (29,25) (22,17) (28,7) (5,1) (8,4) (27,3) (28,8) (1,24) (27,0) (5,30) (27,11) (21,0) (14,6) (28,23) (23,19) (13,15) (10,16) (18,16) (23,14) (29,22) (29,4) (26,5) (20,14) (6,9) (0,1) (15,29) (22,12) (16,11) (2,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph155", - "image": "data/cycle/graph_visual/Base/hard/graph155.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (26,20) (5,6) (14,10) (9,4) (14,0) (4,2) (8,14) (3,5) (20,22) (25,19) (19,23) (25,18) (14,3) (2,17) (21,16) (14,9) (7,24) (17,25) (24,5) (1,17) (20,15) (13,6) (11,16) (22,25) (16,15) (18,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1360", - "image": "data/cycle/graph_visual/Base/hard/graph1360.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (0,14) (11,18) (9,23) (1,27) (14,11) (14,12) (0,7) (11,5) (27,15) (26,20) (15,16) (3,8) (1,21) (2,28) (19,13) (17,1) (5,4) (17,12) (23,25) (20,0) (0,1) (28,8) (24,13) (10,16) (2,7) (4,22) (6,1) (25,5) (26,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph957", - "image": "data/cycle/graph_visual/Base/hard/graph957.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (14,27) (5,25) (20,19) (28,32) (18,33) (22,21) (33,12) (34,15) (3,20) (10,2) (4,31) (0,4) (25,6) (32,21) (3,1) (8,1) (27,7) (23,9) (29,34) (30,25) (11,14) (5,24) (28,34) (7,33) (18,8) (17,4) (9,13) (4,29) (2,1) (30,29) (21,14) (2,16) (26,23) (30,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1473", - "image": "data/cycle/graph_visual/Base/hard/graph1473.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (22,24) (13,22) (19,16) (21,23) (9,11) (23,6) (3,0) (2,1) (21,19) (0,4) (5,11) (12,28) (26,22) (19,4) (4,20) (25,22) (0,20) (17,11) (2,25) (14,7) (15,17) (7,25) (23,9) (29,14) (10,7) (19,3) (0,22) (1,0) (12,4) (27,10) (22,18) (2,0) (5,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1272", - "image": "data/cycle/graph_visual/Base/hard/graph1272.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (12,5) (17,10) (3,14) (20,16) (8,9) (5,4) (1,25) (0,1) (8,4) (23,1) (17,19) (0,2) (22,19) (0,4) (22,14) (14,16) (10,0) (6,19) (27,11) (13,23) (24,2) (7,11) (23,14) (21,15) (22,5) (0,18) (27,13) (21,19) (26,12) (10,2) (0,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph49", - "image": "data/cycle/graph_visual/Base/hard/graph49.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (23,25) (13,5) (14,6) (11,3) (2,24) (0,14) (18,21) (8,15) (22,8) (9,24) (10,2) (7,1) (20,11) (8,24) (13,21) (10,21) (15,16) (18,4) (15,23) (12,16) (21,17) (22,19) (21,14) (22,3) (23,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph165", - "image": "data/cycle/graph_visual/Base/hard/graph165.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (14,21) (9,10) (26,22) (2,26) (23,11) (0,10) (10,6) (9,21) (16,12) (18,5) (20,24) (15,26) (17,0) (19,24) (25,23) (14,3) (7,11) (17,8) (26,21) (13,17) (19,0) (7,9) (4,14) (4,5) (12,15) (1,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1164", - "image": "data/cycle/graph_visual/Base/hard/graph1164.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (9,20) (10,8) (23,25) (3,14) (0,14) (5,9) (14,12) (16,2) (9,6) (26,2) (1,0) (19,1) (21,11) (4,26) (7,21) (18,6) (24,20) (4,0) (4,21) (26,9) (22,2) (7,1) (15,8) (2,0) (15,2) (2,13) (23,12) (23,19) (0,3) (21,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph792", - "image": "data/cycle/graph_visual/Base/hard/graph792.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (30,22) (17,20) (8,18) (28,11) (13,26) (0,7) (7,28) (29,10) (13,9) (16,1) (24,17) (20,14) (28,16) (15,26) (25,4) (7,31) (3,18) (32,31) (27,20) (24,28) (21,9) (4,32) (5,2) (6,29) (22,18) (12,8) (1,8) (31,2) (6,5) (6,19) (24,23) (25,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1700", - "image": "data/cycle/graph_visual/Base/hard/graph1700.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (22,21) (7,21) (30,5) (27,12) (1,28) (31,15) (8,26) (4,13) (19,9) (32,1) (16,1) (7,2) (23,25) (0,8) (0,31) (2,17) (6,19) (3,30) (0,23) (28,10) (21,5) (13,9) (18,12) (24,3) (29,18) (0,1) (20,6) (31,2) (11,4) (20,32) (28,12) (15,14) (7,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph674", - "image": "data/cycle/graph_visual/Base/hard/graph674.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (10,2) (6,12) (24,22) (15,11) (23,11) (18,29) (6,4) (25,14) (26,21) (23,28) (29,30) (11,26) (9,31) (27,11) (21,25) (16,12) (5,19) (12,1) (19,24) (30,17) (9,18) (2,9) (20,0) (8,27) (12,9) (7,16) (13,3) (22,27) (13,6) (15,0) (3,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1151", - "image": "data/cycle/graph_visual/Base/hard/graph1151.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (18,8) (14,26) (1,0) (0,23) (6,19) (22,24) (4,26) (16,22) (3,10) (8,2) (2,6) (25,9) (26,0) (25,14) (16,6) (12,8) (15,24) (20,16) (19,7) (17,6) (21,1) (16,5) (19,1) (10,0) (26,11) (13,4) (11,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph543", - "image": "data/cycle/graph_visual/Base/hard/graph543.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (3,0) (29,25) (2,17) (24,26) (1,22) (22,2) (14,29) (4,19) (22,9) (20,3) (28,14) (5,13) (30,0) (4,25) (22,21) (26,8) (7,12) (0,24) (21,16) (23,20) (23,9) (27,14) (23,27) (24,18) (15,6) (12,6) (5,21) (5,6) (18,10) (5,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1972", - "image": "data/cycle/graph_visual/Base/hard/graph1972.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (30,2) (20,21) (1,7) (27,7) (1,0) (28,1) (18,33) (34,3) (0,30) (6,10) (16,2) (0,5) (10,30) (12,33) (16,13) (16,31) (11,32) (22,19) (17,24) (28,23) (25,17) (9,14) (0,25) (29,15) (5,32) (12,1) (0,3) (23,19) (34,29) (14,25) (4,15) (28,10) (26,24) (0,2) (11,22) (0,4) (21,23) (15,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1505", - "image": "data/cycle/graph_visual/Base/hard/graph1505.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (2,8) (25,9) (0,26) (16,22) (13,4) (6,16) (4,11) (7,19) (16,11) (0,25) (29,28) (5,16) (21,16) (8,12) (29,26) (15,26) (14,26) (4,24) (2,0) (8,20) (6,2) (19,6) (24,17) (10,3) (23,1) (1,19) (0,10) (0,1) (24,14) (30,11) (27,22) (18,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph256", - "image": "data/cycle/graph_visual/Base/hard/graph256.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (4,19) (2,6) (0,1) (25,1) (7,27) (23,13) (24,3) (11,7) (18,21) (22,11) (10,14) (8,11) (21,11) (3,10) (7,5) (17,0) (27,4) (12,8) (5,16) (12,26) (7,23) (14,22) (1,15) (20,22) (9,16) (6,0) (8,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1362", - "image": "data/cycle/graph_visual/Base/hard/graph1362.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (16,13) (2,4) (3,14) (24,10) (2,0) (12,14) (21,27) (27,28) (14,9) (17,25) (23,25) (27,1) (28,25) (6,5) (5,26) (16,15) (2,17) (20,15) (1,0) (24,16) (17,7) (18,22) (25,19) (14,0) (20,19) (9,4) (14,11) (18,6) (5,3) (8,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph492", - "image": "data/cycle/graph_visual/Base/hard/graph492.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (29,23) (13,0) (16,4) (20,6) (6,8) (19,22) (16,14) (14,11) (10,26) (29,22) (9,3) (12,14) (18,16) (7,27) (17,21) (2,28) (1,9) (13,26) (24,10) (14,17) (14,8) (25,20) (28,13) (7,2) (15,19) (5,27) (15,20) (7,9) (17,28)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph839", - "image": "data/cycle/graph_visual/Base/hard/graph839.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (29,1) (11,18) (20,11) (17,13) (2,15) (31,0) (10,28) (7,8) (29,33) (12,13) (29,4) (20,30) (26,3) (11,24) (14,28) (23,5) (21,19) (19,12) (24,8) (27,14) (32,22) (9,22) (25,9) (6,5) (2,1) (19,26) (3,5) (30,12) (30,29) (10,2) (22,24) (16,3) (31,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1132", - "image": "data/cycle/graph_visual/Base/hard/graph1132.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (8,5) (21,13) (10,0) (13,14) (11,0) (26,13) (12,16) (0,17) (9,20) (0,1) (10,21) (10,25) (14,5) (2,0) (0,3) (3,7) (24,15) (18,21) (22,4) (5,19) (22,16) (1,12) (19,4) (7,24) (23,4) (6,10) (22,3) (14,20) (6,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1470", - "image": "data/cycle/graph_visual/Base/hard/graph1470.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (11,9) (27,2) (2,26) (12,16) (27,7) (24,5) (14,4) (6,15) (18,1) (29,22) (20,22) (4,11) (13,1) (27,3) (8,14) (21,6) (13,4) (12,1) (0,15) (5,9) (25,20) (2,10) (1,0) (25,15) (9,17) (20,19) (28,6) (1,26) (17,25) (23,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph343", - "image": "data/cycle/graph_visual/Base/hard/graph343.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (20,15) (9,21) (2,14) (26,0) (26,14) (21,24) (16,10) (16,0) (23,24) (6,28) (6,18) (22,11) (4,1) (1,12) (14,25) (16,28) (19,4) (5,28) (27,23) (23,4) (11,8) (17,21) (9,7) (3,18) (20,1) (28,8) (6,20) (7,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph668", - "image": "data/cycle/graph_visual/Base/hard/graph668.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (23,21) (16,29) (18,8) (15,0) (18,1) (2,25) (12,15) (2,26) (30,6) (2,31) (29,11) (24,30) (2,9) (0,5) (2,3) (29,18) (4,31) (14,8) (20,7) (27,12) (19,9) (21,14) (16,20) (25,22) (12,10) (8,27) (18,31) (6,0) (28,9) (13,31) (17,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1987", - "image": "data/cycle/graph_visual/Base/hard/graph1987.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (20,6) (28,31) (28,8) (28,14) (33,14) (21,0) (19,27) (25,6) (26,1) (32,0) (24,18) (13,24) (16,1) (27,1) (3,4) (6,12) (15,31) (7,5) (11,13) (20,1) (17,14) (4,16) (1,0) (7,31) (23,17) (24,10) (0,24) (28,22) (13,27) (29,1) (1,33) (30,34) (8,2) (9,30) (31,34)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1995", - "image": "data/cycle/graph_visual/Base/hard/graph1995.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (25,0) (18,30) (12,6) (3,0) (34,16) (23,15) (24,11) (12,34) (4,5) (26,11) (2,16) (18,22) (1,17) (33,4) (10,12) (14,13) (12,27) (9,32) (20,3) (14,12) (17,0) (7,19) (0,4) (1,31) (24,29) (7,20) (12,5) (21,11) (21,20) (32,28) (31,16) (2,0) (0,1) (5,7) (32,30) (15,9) (8,15) (30,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1904", - "image": "data/cycle/graph_visual/Base/hard/graph1904.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (32,27) (30,20) (8,23) (23,1) (0,2) (15,16) (22,4) (18,14) (3,19) (5,27) (7,24) (0,13) (28,12) (11,17) (32,7) (31,6) (8,21) (13,29) (20,13) (2,4) (34,19) (15,9) (24,8) (6,16) (29,11) (30,19) (0,1) (1,28) (33,18) (29,33) (4,23) (25,10) (26,29) (10,26) (33,31)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph202", - "image": "data/cycle/graph_visual/Base/hard/graph202.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (10,6) (1,16) (23,11) (26,24) (24,22) (14,3) (19,0) (5,18) (4,21) (27,4) (11,7) (15,26) (15,12) (16,12) (2,26) (23,26) (14,21) (19,25) (20,14) (10,9) (9,7) (13,17) (5,4) (17,8) (0,10) (17,0) (9,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph607", - "image": "data/cycle/graph_visual/Base/hard/graph607.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (12,15) (11,24) (0,13) (4,8) (26,28) (0,29) (3,14) (5,22) (10,3) (30,13) (24,20) (7,16) (13,31) (0,8) (7,23) (29,1) (15,6) (28,8) (27,8) (16,2) (17,11) (30,18) (19,15) (23,26) (25,17) (22,13) (21,6) (4,10) (10,24) (0,15) (9,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph392", - "image": "data/cycle/graph_visual/Base/hard/graph392.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (11,16) (14,28) (9,5) (22,15) (11,4) (26,7) (24,18) (4,23) (12,16) (0,27) (28,10) (8,14) (12,13) (2,3) (24,1) (15,28) (25,0) (6,8) (17,26) (0,3) (20,2) (2,22) (18,9) (21,0) (19,7) (13,9) (19,14) (23,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph501", - "image": "data/cycle/graph_visual/Base/hard/graph501.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (7,30) (21,15) (2,7) (3,18) (1,5) (15,16) (13,12) (2,10) (9,1) (20,25) (26,16) (13,1) (18,0) (4,30) (15,17) (29,23) (27,13) (22,26) (5,25) (19,18) (1,11) (26,14) (30,28) (6,14) (23,11) (20,8) (15,10) (27,4) (8,24) (0,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph93", - "image": "data/cycle/graph_visual/Base/hard/graph93.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (5,10) (24,15) (9,19) (4,7) (12,0) (2,19) (17,2) (12,20) (4,24) (22,17) (21,16) (1,12) (23,13) (15,6) (18,8) (19,25) (21,22) (7,5) (6,3) (6,13) (12,16) (2,14) (11,7) (8,23) (19,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1489", - "image": "data/cycle/graph_visual/Base/hard/graph1489.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (15,26) (10,29) (9,19) (13,18) (15,29) (20,16) (7,5) (25,6) (16,0) (11,27) (20,13) (21,2) (10,3) (0,2) (11,17) (7,8) (4,1) (22,0) (28,8) (24,5) (25,23) (20,23) (3,0) (17,8) (29,12) (28,9) (17,2) (14,25) (1,0) (2,18) (13,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph992", - "image": "data/cycle/graph_visual/Base/hard/graph992.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (31,8) (22,3) (1,20) (18,5) (31,23) (29,19) (32,25) (11,25) (17,6) (23,27) (32,16) (27,33) (10,19) (12,24) (26,18) (18,30) (34,12) (21,13) (29,30) (20,0) (0,7) (0,13) (14,24) (3,11) (28,5) (32,4) (2,1) (30,8) (6,15) (6,26) (5,25) (13,23) (4,9) (27,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1254", - "image": "data/cycle/graph_visual/Base/hard/graph1254.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (0,2) (9,1) (0,6) (18,21) (2,12) (5,26) (15,14) (1,8) (9,18) (16,27) (18,3) (24,4) (25,3) (0,10) (18,22) (19,8) (26,23) (9,11) (1,15) (17,24) (27,24) (0,1) (27,6) (21,23) (26,27) (26,7) (13,3) (20,12) (20,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph293", - "image": "data/cycle/graph_visual/Base/hard/graph293.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (6,5) (23,20) (11,6) (6,13) (19,22) (21,5) (14,0) (3,12) (15,21) (16,2) (20,27) (27,14) (5,12) (4,18) (26,23) (21,9) (5,10) (26,7) (18,8) (22,1) (25,4) (24,17) (22,24) (9,23) (24,0) (2,22) (14,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1973", - "image": "data/cycle/graph_visual/Base/hard/graph1973.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (34,32) (7,6) (33,13) (18,19) (1,13) (31,11) (1,0) (12,10) (22,4) (29,23) (15,30) (20,9) (14,33) (6,16) (3,27) (25,8) (5,21) (24,32) (23,5) (15,0) (5,9) (28,34) (14,3) (12,17) (23,18) (25,26) (30,17) (19,2) (18,25) (1,16) (16,17) (6,11) (4,1) (10,19) (21,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph930", - "image": "data/cycle/graph_visual/Base/hard/graph930.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (24,2) (34,13) (13,17) (23,5) (3,15) (11,19) (14,26) (21,25) (8,16) (7,8) (29,1) (24,4) (10,31) (13,18) (28,30) (6,24) (32,20) (32,4) (17,12) (10,15) (7,3) (21,2) (6,18) (27,10) (11,0) (8,32) (28,27) (23,9) (26,5) (29,22) (21,0) (29,10) (5,17) (14,33)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1417", - "image": "data/cycle/graph_visual/Base/hard/graph1417.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (3,2) (21,29) (7,9) (8,1) (13,11) (16,25) (18,24) (26,9) (24,11) (4,14) (23,2) (14,23) (22,5) (1,0) (10,7) (15,14) (12,22) (28,20) (0,3) (19,5) (6,10) (23,12) (25,3) (14,8) (29,26) (17,3) (20,6) (13,16) (17,27) (21,1) (0,4) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph395", - "image": "data/cycle/graph_visual/Base/hard/graph395.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (26,13) (17,2) (8,17) (28,9) (23,20) (2,18) (5,22) (20,13) (26,15) (27,8) (11,25) (7,8) (1,0) (3,10) (19,2) (14,9) (21,0) (13,18) (25,6) (12,15) (4,1) (16,20) (5,7) (11,17) (12,28) (0,16) (25,10) (24,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1983", - "image": "data/cycle/graph_visual/Base/hard/graph1983.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (7,9) (23,34) (6,11) (26,2) (17,30) (27,1) (7,17) (22,27) (29,10) (12,27) (1,0) (8,5) (26,29) (3,0) (34,25) (4,23) (32,29) (31,0) (30,19) (4,17) (1,28) (22,33) (19,11) (19,5) (0,27) (13,2) (4,0) (15,31) (8,16) (19,20) (23,18) (0,2) (21,27) (10,16) (14,1) (22,13) (3,34) (24,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph491", - "image": "data/cycle/graph_visual/Base/hard/graph491.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (16,15) (14,26) (13,27) (10,15) (14,6) (28,16) (20,25) (12,13) (5,1) (3,18) (18,21) (25,5) (11,23) (23,7) (4,19) (6,0) (0,18) (20,8) (4,27) (10,2) (17,15) (8,26) (15,22) (26,24) (19,29) (13,1) (2,7) (1,9) (11,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph972", - "image": "data/cycle/graph_visual/Base/hard/graph972.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (4,27) (27,12) (7,19) (3,8) (13,29) (32,11) (14,13) (4,8) (15,6) (16,12) (23,31) (31,10) (8,10) (28,9) (14,24) (4,1) (21,18) (9,30) (5,34) (10,19) (32,26) (31,32) (21,33) (21,6) (18,3) (30,27) (6,22) (20,9) (13,1) (2,8) (0,20) (15,17) (34,17) (25,32)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1290", - "image": "data/cycle/graph_visual/Base/hard/graph1290.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (26,2) (9,11) (9,5) (1,13) (27,25) (23,2) (25,17) (6,21) (1,18) (17,9) (1,12) (16,12) (25,15) (4,14) (19,20) (20,6) (10,2) (0,15) (4,11) (0,1) (8,14) (22,5) (7,27) (3,27) (13,4) (6,15) (6,26) (1,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1227", - "image": "data/cycle/graph_visual/Base/hard/graph1227.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (15,6) (22,25) (3,10) (27,20) (2,0) (23,5) (18,7) (0,1) (15,12) (3,16) (24,17) (0,4) (12,3) (11,26) (19,26) (23,8) (17,3) (11,12) (0,3) (21,25) (4,5) (18,5) (11,2) (4,14) (20,3) (18,1) (2,13) (19,21) (9,11) (27,0) (1,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1613", - "image": "data/cycle/graph_visual/Base/hard/graph1613.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (4,0) (0,3) (13,12) (3,8) (14,28) (23,25) (7,5) (8,14) (0,30) (12,29) (15,13) (26,13) (21,30) (0,1) (28,21) (27,5) (25,21) (9,2) (18,7) (31,13) (10,25) (19,14) (23,15) (11,9) (1,7) (8,17) (7,6) (22,9) (2,0) (3,2) (25,1) (26,24) (2,16) (20,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1321", - "image": "data/cycle/graph_visual/Base/hard/graph1321.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (24,3) (18,21) (3,18) (5,26) (26,2) (11,25) (20,21) (1,0) (23,25) (13,0) (25,14) (2,18) (16,25) (8,13) (25,8) (26,27) (18,12) (21,19) (18,6) (20,10) (4,16) (15,16) (17,7) (28,1) (17,28) (17,9) (1,10) (24,22) (5,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1296", - "image": "data/cycle/graph_visual/Base/hard/graph1296.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (0,21) (15,20) (26,19) (20,1) (19,4) (5,2) (8,23) (23,12) (22,16) (2,19) (26,10) (25,9) (7,26) (14,27) (17,16) (0,1) (16,25) (14,21) (21,6) (19,25) (11,14) (12,9) (13,14) (3,21) (20,11) (3,24) (13,23) (18,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph261", - "image": "data/cycle/graph_visual/Base/hard/graph261.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (26,12) (7,11) (8,4) (13,23) (23,1) (17,19) (0,10) (22,14) (4,5) (6,19) (12,5) (8,9) (20,16) (2,10) (2,24) (22,5) (1,25) (10,17) (16,14) (23,14) (22,19) (3,14) (18,0) (21,19) (27,13) (27,11) (15,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1794", - "image": "data/cycle/graph_visual/Base/hard/graph1794.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (14,10) (25,30) (5,3) (31,15) (16,31) (1,20) (28,8) (2,30) (9,4) (12,7) (24,6) (2,0) (15,17) (29,21) (26,11) (2,21) (28,16) (5,23) (0,9) (22,4) (10,15) (24,27) (6,32) (11,19) (19,22) (3,0) (3,29) (9,18) (1,12) (0,1) (5,31) (6,29) (31,7) (13,22) (26,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1598", - "image": "data/cycle/graph_visual/Base/hard/graph1598.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (26,6) (0,16) (29,15) (30,26) (17,20) (18,3) (8,0) (2,8) (2,0) (21,16) (10,11) (6,13) (5,25) (0,1) (4,17) (21,20) (30,25) (22,30) (30,14) (28,27) (19,7) (0,26) (19,24) (10,6) (9,3) (23,17) (27,8) (7,12) (7,4) (5,15) (15,9) (25,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph444", - "image": "data/cycle/graph_visual/Base/hard/graph444.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (2,6) (0,17) (20,3) (0,1) (24,17) (19,16) (21,23) (3,9) (16,7) (27,2) (28,23) (0,10) (0,19) (26,18) (8,12) (5,20) (7,8) (13,1) (13,18) (23,11) (7,28) (7,14) (21,3) (22,29) (4,15) (25,2) (6,17) (4,23) (6,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph582", - "image": "data/cycle/graph_visual/Base/hard/graph582.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (2,10) (17,10) (28,20) (0,15) (12,5) (14,3) (11,7) (14,16) (23,30) (24,2) (14,28) (5,4) (29,23) (9,8) (30,14) (0,10) (22,5) (25,19) (12,27) (19,21) (27,11) (30,22) (16,18) (21,13) (6,19) (19,22) (23,1) (26,1) (29,17) (8,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph488", - "image": "data/cycle/graph_visual/Base/hard/graph488.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (12,29) (16,20) (0,1) (9,19) (6,25) (23,20) (9,28) (18,2) (26,13) (27,11) (17,2) (25,14) (10,3) (4,1) (10,29) (2,21) (18,13) (8,28) (15,29) (20,13) (7,8) (7,5) (24,5) (11,17) (15,26) (23,25) (17,8) (0,16) (0,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1634", - "image": "data/cycle/graph_visual/Base/hard/graph1634.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (21,20) (28,6) (26,28) (13,1) (7,5) (28,23) (18,4) (22,16) (14,15) (22,12) (29,12) (14,17) (27,25) (21,26) (24,10) (22,8) (5,31) (31,30) (14,10) (0,1) (30,26) (3,22) (1,2) (18,5) (0,4) (14,26) (19,27) (6,2) (12,27) (19,17) (25,9) (11,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1358", - "image": "data/cycle/graph_visual/Base/hard/graph1358.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (18,14) (12,6) (12,28) (23,19) (25,11) (27,25) (1,18) (21,4) (7,6) (6,15) (15,26) (25,6) (0,1) (12,5) (9,5) (5,2) (23,17) (20,14) (26,14) (0,2) (16,25) (8,7) (8,22) (19,26) (3,21) (10,14) (3,0) (14,21) (24,11) (13,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1241", - "image": "data/cycle/graph_visual/Base/hard/graph1241.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (14,16) (22,10) (13,23) (20,7) (21,26) (21,3) (17,8) (12,9) (17,27) (4,25) (19,22) (17,11) (5,13) (24,16) (15,20) (0,3) (1,10) (15,3) (18,6) (25,27) (0,2) (6,7) (25,9) (2,4) (17,0) (0,1) (4,5) (24,22) (6,24) (17,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1555", - "image": "data/cycle/graph_visual/Base/hard/graph1555.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (14,23) (15,8) (21,18) (14,28) (8,29) (27,24) (26,1) (3,17) (4,5) (13,17) (19,29) (30,12) (22,23) (9,7) (22,17) (0,2) (7,5) (10,18) (8,12) (10,20) (0,7) (11,21) (2,16) (7,26) (16,20) (1,0) (6,26) (12,11) (27,30) (17,16) (25,12) (17,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph241", - "image": "data/cycle/graph_visual/Base/hard/graph241.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (21,23) (8,12) (2,23) (3,21) (2,25) (6,17) (19,0) (2,6) (7,8) (4,15) (1,13) (1,0) (27,6) (4,23) (20,3) (17,22) (24,18) (3,9) (11,23) (18,13) (16,7) (16,19) (17,0) (7,14) (20,5) (0,10) (7,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1307", - "image": "data/cycle/graph_visual/Base/hard/graph1307.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (4,28) (10,6) (8,17) (14,3) (18,5) (5,4) (11,23) (1,0) (10,26) (26,15) (15,12) (19,25) (7,11) (27,23) (0,2) (9,21) (10,9) (16,1) (13,17) (26,2) (4,21) (12,16) (7,9) (28,0) (24,22) (14,21) (19,0) (26,24) (17,0) (14,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph929", - "image": "data/cycle/graph_visual/Base/hard/graph929.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (30,16) (13,16) (23,19) (29,18) (21,24) (21,9) (14,18) (25,19) (20,0) (26,12) (23,2) (34,5) (29,33) (26,5) (28,10) (15,14) (1,29) (28,14) (27,1) (17,15) (31,1) (30,4) (1,9) (14,19) (18,0) (16,26) (14,8) (3,30) (18,6) (7,26) (22,19) (11,0) (23,16) (32,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph648", - "image": "data/cycle/graph_visual/Base/hard/graph648.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (11,27) (13,31) (5,20) (10,2) (28,6) (5,0) (13,17) (25,3) (11,21) (10,15) (5,25) (31,15) (12,23) (23,13) (19,24) (24,22) (18,24) (1,11) (16,13) (28,5) (28,22) (29,7) (21,30) (4,29) (24,23) (27,29) (14,12) (19,26) (24,11) (29,8) (16,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph233", - "image": "data/cycle/graph_visual/Base/hard/graph233.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (5,1) (21,3) (11,13) (20,1) (5,23) (15,13) (3,5) (20,6) (26,21) (24,9) (22,21) (13,17) (16,19) (18,19) (12,8) (15,27) (19,8) (9,1) (6,8) (24,4) (25,14) (15,3) (5,14) (3,2) (10,14) (0,2) (7,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1381", - "image": "data/cycle/graph_visual/Base/hard/graph1381.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (6,20) (7,9) (14,8) (3,17) (0,5) (1,21) (26,28) (3,2) (20,21) (14,23) (13,11) (13,16) (6,10) (2,23) (16,25) (3,25) (12,23) (4,0) (18,24) (5,22) (3,0) (26,9) (22,12) (8,1) (5,19) (0,2) (14,4) (27,17) (7,10) (1,0) (15,14) (24,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1099", - "image": "data/cycle/graph_visual/Base/hard/graph1099.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (9,17) (2,19) (12,24) (15,23) (7,25) (19,1) (7,8) (24,5) (21,14) (22,4) (0,4) (18,23) (3,0) (9,22) (14,9) (0,1) (24,3) (0,5) (13,8) (2,0) (23,12) (6,20) (20,14) (2,21) (21,12) (16,8) (16,10) (8,3) (7,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1369", - "image": "data/cycle/graph_visual/Base/hard/graph1369.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (24,5) (13,10) (12,2) (8,28) (18,28) (1,8) (9,22) (20,12) (23,15) (26,21) (9,4) (12,25) (24,3) (28,7) (9,27) (19,3) (1,13) (25,19) (1,0) (26,6) (18,11) (15,17) (16,14) (15,11) (24,4) (16,4) (25,8) (27,0) (16,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1007", - "image": "data/cycle/graph_visual/Base/hard/graph1007.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (4,7) (3,20) (8,20) (5,17) (2,20) (9,2) (9,13) (12,16) (16,23) (9,14) (18,19) (24,21) (1,5) (21,20) (22,10) (11,17) (16,19) (8,6) (0,18) (14,15) (20,5) (25,13) (21,10) (15,16) (0,1) (7,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph479", - "image": "data/cycle/graph_visual/Base/hard/graph479.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (2,23) (24,29) (16,1) (26,16) (17,7) (5,11) (9,10) (9,13) (28,4) (14,0) (12,22) (21,28) (3,8) (0,19) (11,8) (3,27) (24,4) (18,6) (24,0) (13,2) (25,18) (0,20) (15,26) (19,11) (16,18) (28,7) (11,12) (10,3) (4,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph950", - "image": "data/cycle/graph_visual/Base/hard/graph950.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (31,0) (11,25) (5,18) (22,15) (2,20) (21,31) (18,29) (30,4) (30,14) (25,13) (34,18) (10,3) (7,2) (32,4) (11,9) (7,24) (22,23) (23,25) (13,30) (6,10) (17,7) (5,33) (9,16) (4,3) (18,28) (26,14) (7,4) (6,5) (10,27) (22,1) (5,12) (8,7) (10,19) (13,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph441", - "image": "data/cycle/graph_visual/Base/hard/graph441.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (24,13) (27,17) (9,11) (22,6) (5,12) (18,26) (1,9) (25,21) (22,3) (25,0) (12,13) (16,13) (22,20) (19,14) (24,28) (8,4) (24,7) (28,17) (10,21) (14,3) (15,23) (19,15) (14,4) (2,1) (27,19) (18,11) (11,19) (0,16) (5,29)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph333", - "image": "data/cycle/graph_visual/Base/hard/graph333.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (20,8) (4,24) (17,27) (0,6) (1,15) (24,19) (3,13) (5,26) (15,16) (12,2) (9,12) (13,22) (1,9) (1,8) (6,26) (14,20) (7,26) (3,27) (9,18) (18,3) (26,23) (27,25) (0,10) (27,11) (21,18) (24,18) (23,21) (28,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph842", - "image": "data/cycle/graph_visual/Base/hard/graph842.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (20,27) (7,31) (5,32) (26,9) (4,21) (19,6) (27,22) (13,15) (21,30) (17,32) (8,18) (20,13) (0,24) (22,6) (28,33) (14,22) (9,19) (29,4) (16,32) (2,16) (12,30) (6,31) (19,11) (30,13) (23,8) (25,10) (16,33) (6,8) (18,24) (25,16) (1,26) (3,2) (30,28)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1688", - "image": "data/cycle/graph_visual/Base/hard/graph1688.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (4,25) (0,3) (14,28) (28,17) (25,22) (29,13) (13,6) (15,20) (23,31) (20,7) (10,2) (2,0) (28,12) (9,19) (9,12) (0,4) (4,16) (19,13) (9,20) (18,9) (26,27) (23,16) (27,11) (26,21) (26,8) (18,26) (24,6) (1,6) (4,3) (29,10) (22,5) (6,30) (24,4) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1596", - "image": "data/cycle/graph_visual/Base/hard/graph1596.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (21,27) (2,0) (7,25) (8,9) (23,30) (25,19) (29,10) (7,12) (23,3) (1,0) (24,29) (8,27) (13,6) (14,16) (27,26) (9,18) (11,23) (25,28) (22,25) (4,29) (5,14) (20,17) (22,2) (5,15) (3,17) (13,14) (16,4) (11,22) (1,9) (26,15) (2,29)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph688", - "image": "data/cycle/graph_visual/Base/hard/graph688.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (11,14) (12,10) (30,22) (5,17) (9,7) (4,13) (7,25) (26,2) (10,19) (11,10) (30,6) (30,11) (4,28) (8,6) (26,0) (21,15) (14,29) (23,26) (14,31) (16,3) (4,27) (10,1) (24,10) (21,26) (20,10) (1,18) (17,2) (27,23) (17,10) (3,2) (29,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph494", - "image": "data/cycle/graph_visual/Base/hard/graph494.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (7,2) (24,27) (9,26) (6,19) (20,13) (21,18) (8,9) (12,25) (1,18) (27,0) (17,25) (8,19) (20,12) (27,16) (28,6) (29,16) (27,23) (13,5) (23,15) (10,2) (11,2) (26,11) (27,3) (5,14) (21,5) (4,1) (21,22) (23,25) (1,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph448", - "image": "data/cycle/graph_visual/Base/hard/graph448.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (14,18) (13,8) (28,24) (24,29) (8,20) (18,29) (16,24) (25,11) (17,0) (2,10) (21,29) (27,18) (24,3) (29,22) (11,20) (10,27) (27,19) (1,23) (25,23) (9,13) (25,22) (23,6) (4,12) (7,10) (16,17) (9,4) (8,26) (4,5) (15,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph506", - "image": "data/cycle/graph_visual/Base/hard/graph506.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (6,17) (22,20) (30,18) (14,13) (22,2) (23,21) (0,11) (16,19) (27,16) (10,23) (4,24) (9,26) (13,26) (1,25) (8,10) (12,25) (26,23) (26,7) (3,26) (23,24) (27,28) (3,16) (2,17) (29,28) (5,0) (0,18) (3,12) (9,20) (0,14) (15,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1111", - "image": "data/cycle/graph_visual/Base/hard/graph1111.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (11,17) (13,5) (14,23) (8,4) (16,17) (24,22) (1,21) (6,3) (13,25) (24,23) (16,7) (3,0) (23,1) (0,4) (25,8) (7,19) (1,20) (10,24) (14,4) (1,0) (16,12) (26,9) (18,21) (1,15) (20,17) (2,0) (2,11) (9,19) (3,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1263", - "image": "data/cycle/graph_visual/Base/hard/graph1263.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (0,4) (9,23) (22,10) (24,7) (5,21) (16,22) (17,14) (13,3) (8,22) (6,13) (3,0) (11,14) (18,11) (1,0) (2,3) (23,12) (20,0) (13,4) (24,27) (26,8) (19,10) (1,20) (2,0) (1,19) (11,10) (21,25) (19,23) (24,15) (11,2) (5,18) (9,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph231", - "image": "data/cycle/graph_visual/Base/hard/graph231.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (2,5) (25,17) (1,3) (14,26) (15,27) (22,26) (27,9) (26,17) (16,10) (13,23) (4,1) (27,25) (21,0) (25,3) (21,14) (25,12) (7,11) (11,25) (10,17) (13,20) (19,17) (14,18) (19,2) (24,16) (6,5) (18,13) (10,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1259", - "image": "data/cycle/graph_visual/Base/hard/graph1259.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (25,8) (4,0) (12,27) (0,2) (24,11) (5,21) (7,8) (16,20) (13,18) (10,3) (17,8) (5,0) (19,0) (14,9) (17,2) (25,10) (2,18) (0,1) (5,7) (6,25) (0,16) (23,20) (13,20) (12,15) (15,26) (2,9) (4,1) (11,17) (0,3) (13,26) (23,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph764", - "image": "data/cycle/graph_visual/Base/hard/graph764.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (30,19) (16,32) (9,30) (19,21) (6,16) (10,2) (13,23) (23,4) (29,27) (14,25) (15,0) (20,17) (12,29) (11,4) (27,15) (7,27) (22,10) (17,21) (24,23) (26,3) (9,28) (18,2) (23,32) (6,30) (22,20) (9,1) (5,14) (0,24) (6,8) (31,1) (5,31) (26,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1612", - "image": "data/cycle/graph_visual/Base/hard/graph1612.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (20,29) (22,1) (2,10) (18,1) (15,1) (28,6) (20,4) (3,17) (1,6) (12,3) (7,0) (9,30) (16,14) (25,10) (19,23) (23,8) (16,0) (8,22) (2,22) (27,28) (5,16) (13,12) (9,31) (9,15) (12,5) (24,26) (9,11) (0,2) (0,1) (27,20) (12,9) (24,12) (29,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph54", - "image": "data/cycle/graph_visual/Base/hard/graph54.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (16,25) (21,17) (16,8) (3,22) (5,24) (21,8) (0,3) (18,22) (2,13) (24,10) (23,13) (14,11) (12,7) (1,16) (4,25) (20,10) (19,17) (13,8) (5,9) (7,0) (15,22) (11,9) (20,25) (12,23) (6,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1943", - "image": "data/cycle/graph_visual/Base/hard/graph1943.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (26,16) (22,20) (11,22) (14,18) (13,33) (2,0) (9,16) (25,10) (26,33) (4,6) (23,17) (16,21) (4,30) (1,26) (12,31) (12,7) (25,20) (3,7) (19,1) (32,5) (6,17) (19,20) (27,6) (6,18) (28,12) (12,8) (29,24) (29,32) (24,4) (15,9) (34,7) (0,3) (34,27) (4,0) (1,6) (33,2) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1212", - "image": "data/cycle/graph_visual/Base/hard/graph1212.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (21,17) (19,4) (0,1) (11,23) (6,14) (27,15) (8,22) (8,16) (26,23) (16,14) (26,10) (4,17) (0,9) (2,23) (12,21) (1,7) (19,11) (24,25) (13,10) (24,22) (20,15) (18,6) (16,0) (17,24) (9,3) (24,5) (15,1) (27,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1853", - "image": "data/cycle/graph_visual/Base/hard/graph1853.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (2,30) (0,2) (11,9) (3,13) (19,30) (21,25) (0,1) (13,28) (32,4) (1,31) (24,0) (27,33) (28,9) (33,7) (21,30) (12,4) (26,23) (5,27) (22,14) (17,29) (15,24) (5,25) (14,32) (1,3) (12,29) (3,32) (21,10) (10,23) (5,14) (20,17) (23,18) (17,6) (9,0) (16,0) (22,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph857", - "image": "data/cycle/graph_visual/Base/hard/graph857.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (30,22) (17,19) (6,31) (17,4) (3,13) (6,26) (5,16) (16,20) (18,1) (18,4) (4,29) (0,23) (32,19) (22,15) (11,21) (2,0) (25,6) (10,14) (2,33) (27,28) (22,27) (24,7) (1,8) (29,27) (13,0) (25,32) (24,23) (9,12) (16,27) (12,25) (1,11) (14,16) (0,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph978", - "image": "data/cycle/graph_visual/Base/hard/graph978.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (21,14) (11,33) (29,1) (20,7) (27,34) (7,34) (17,24) (3,13) (10,24) (9,12) (30,5) (26,23) (29,17) (22,8) (32,18) (13,26) (9,0) (12,22) (25,6) (13,25) (4,11) (3,16) (29,25) (9,11) (19,13) (31,16) (23,22) (19,14) (7,28) (5,29) (10,7) (15,27) (32,21) (2,29)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph975", - "image": "data/cycle/graph_visual/Base/hard/graph975.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (19,20) (21,16) (1,19) (3,7) (0,2) (16,26) (30,4) (1,6) (29,24) (11,22) (23,17) (12,31) (2,33) (25,20) (12,7) (15,9) (12,8) (4,24) (16,9) (1,26) (32,5) (33,13) (18,14) (12,28) (7,34) (18,6) (6,27) (10,25) (6,17) (20,22) (29,32) (4,6) (26,33) (27,34)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1070", - "image": "data/cycle/graph_visual/Base/hard/graph1070.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (13,18) (11,25) (25,12) (1,0) (5,7) (17,25) (0,21) (17,10) (14,20) (6,1) (25,4) (9,10) (2,5) (18,14) (14,24) (25,3) (2,19) (13,19) (3,1) (23,17) (10,16) (8,11) (22,16) (17,15) (13,21) (4,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph882", - "image": "data/cycle/graph_visual/Base/hard/graph882.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (9,6) (1,17) (21,10) (28,13) (14,20) (16,11) (21,0) (17,26) (23,7) (4,12) (27,26) (7,15) (9,3) (20,27) (5,19) (16,32) (0,17) (18,2) (24,23) (22,12) (11,5) (1,19) (28,20) (2,33) (4,31) (18,30) (31,25) (6,17) (32,29) (24,5) (12,8) (12,30) (22,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph0", - "image": "data/cycle/graph_visual/Base/hard/graph0.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (11,0) (10,13) (4,23) (3,22) (18,21) (0,10) (6,2) (24,15) (20,9) (0,17) (14,13) (1,12) (8,5) (16,22) (20,14) (19,5) (4,19) (25,21) (24,7) (22,4) (21,10) (12,16) (5,14) (6,10) (3,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph700", - "image": "data/cycle/graph_visual/Base/hard/graph700.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (28,23) (6,12) (19,12) (20,27) (31,29) (7,30) (31,4) (18,16) (31,11) (30,21) (2,10) (11,0) (15,0) (9,32) (14,11) (9,3) (1,23) (5,30) (8,25) (22,19) (8,7) (6,24) (1,19) (28,32) (2,27) (10,16) (15,22) (22,20) (5,26) (5,31) (18,13) (17,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph452", - "image": "data/cycle/graph_visual/Base/hard/graph452.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (17,2) (6,25) (12,29) (5,24) (13,20) (25,14) (18,2) (19,9) (20,16) (0,22) (7,8) (13,18) (4,1) (9,28) (23,20) (10,3) (17,11) (7,5) (15,29) (27,11) (26,15) (25,23) (29,10) (8,17) (1,0) (8,28) (21,2) (13,26) (0,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1504", - "image": "data/cycle/graph_visual/Base/hard/graph1504.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (17,6) (29,28) (13,14) (0,1) (23,21) (2,0) (2,17) (25,1) (2,22) (26,7) (24,4) (30,18) (5,0) (10,8) (16,27) (26,13) (23,10) (3,26) (9,20) (20,22) (26,9) (18,0) (23,24) (27,28) (3,16) (16,19) (24,15) (23,26) (0,11) (25,12) (3,12) (0,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1804", - "image": "data/cycle/graph_visual/Base/hard/graph1804.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (27,29) (15,7) (9,22) (21,10) (5,11) (26,21) (0,3) (30,5) (4,0) (6,12) (1,0) (25,4) (4,21) (14,0) (24,12) (30,8) (9,18) (4,5) (28,33) (2,17) (15,14) (20,13) (22,20) (0,32) (16,5) (21,14) (1,31) (3,23) (28,12) (2,0) (23,22) (17,27) (6,27) (20,14) (17,21) (31,27) (19,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1747", - "image": "data/cycle/graph_visual/Base/hard/graph1747.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (21,9) (31,29) (25,1) (24,19) (0,17) (1,29) (9,30) (1,9) (5,18) (2,0) (26,6) (3,30) (21,22) (23,16) (23,2) (14,18) (4,30) (8,28) (12,16) (20,19) (16,27) (26,11) (14,7) (14,15) (0,18) (19,14) (1,0) (0,10) (32,16) (23,19) (26,14) (28,1) (13,15) (18,29)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1803", - "image": "data/cycle/graph_visual/Base/hard/graph1803.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (24,16) (11,24) (0,3) (6,1) (25,0) (18,26) (16,9) (23,22) (0,20) (32,10) (29,7) (30,22) (0,2) (2,32) (14,15) (27,33) (0,6) (27,20) (26,14) (30,16) (22,3) (13,25) (21,12) (1,0) (23,2) (1,19) (4,27) (4,5) (15,12) (31,28) (33,15) (21,8) (22,21) (28,15) (32,29) (17,2) (4,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph363", - "image": "data/cycle/graph_visual/Base/hard/graph363.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (20,12) (12,1) (19,16) (12,22) (28,16) (5,26) (7,25) (15,19) (14,0) (6,8) (2,5) (26,18) (19,9) (8,1) (13,0) (10,25) (4,20) (6,21) (2,0) (24,16) (19,26) (0,7) (17,3) (20,17) (23,14) (4,2) (11,9) (27,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1870", - "image": "data/cycle/graph_visual/Base/hard/graph1870.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (17,1) (8,21) (15,17) (10,29) (15,28) (2,1) (3,14) (19,3) (27,30) (32,2) (20,5) (13,31) (5,4) (27,23) (6,2) (4,18) (13,6) (16,11) (27,14) (16,30) (0,28) (31,23) (18,9) (2,21) (12,25) (26,8) (28,7) (4,19) (0,2) (14,10) (1,0) (12,18) (21,33) (24,5) (22,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1898", - "image": "data/cycle/graph_visual/Base/hard/graph1898.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (7,23) (23,4) (20,10) (20,3) (30,5) (0,1) (21,4) (18,16) (20,17) (3,31) (17,27) (0,10) (32,18) (19,25) (14,1) (13,18) (24,26) (31,26) (32,9) (11,33) (15,30) (13,4) (15,7) (7,20) (19,33) (14,28) (8,11) (3,28) (19,22) (2,17) (6,33) (27,29) (30,12) (33,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph120", - "image": "data/cycle/graph_visual/Base/hard/graph120.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (7,25) (13,23) (23,1) (24,4) (21,19) (19,16) (24,21) (13,20) (14,4) (21,3) (18,15) (6,26) (1,15) (5,20) (5,16) (17,11) (0,23) (8,6) (7,23) (9,13) (12,1) (13,22) (19,10) (6,2) (24,17) (22,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph762", - "image": "data/cycle/graph_visual/Base/hard/graph762.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (15,26) (28,11) (27,20) (31,2) (18,3) (8,18) (24,23) (6,29) (5,2) (21,9) (17,20) (4,25) (7,31) (18,22) (32,31) (28,7) (28,24) (28,16) (14,20) (10,29) (9,13) (13,26) (16,1) (30,22) (5,6) (15,25) (1,8) (12,8) (7,0) (19,6) (24,17) (32,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1872", - "image": "data/cycle/graph_visual/Base/hard/graph1872.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (12,6) (18,22) (29,18) (0,21) (17,30) (15,12) (12,31) (11,15) (23,30) (12,32) (11,14) (33,20) (16,26) (23,32) (28,3) (9,31) (31,13) (21,4) (24,16) (2,7) (20,7) (15,5) (19,16) (16,0) (28,11) (12,25) (33,21) (1,0) (27,7) (19,13) (8,31) (29,10) (11,1) (10,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph680", - "image": "data/cycle/graph_visual/Base/hard/graph680.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (30,16) (2,28) (22,19) (21,11) (8,14) (5,27) (12,2) (10,21) (1,0) (5,12) (10,24) (1,15) (6,7) (16,19) (1,13) (20,19) (31,6) (18,31) (4,5) (3,14) (5,19) (5,6) (20,26) (23,2) (29,9) (29,5) (11,7) (19,8) (23,25) (24,17) (31,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1659", - "image": "data/cycle/graph_visual/Base/hard/graph1659.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (5,12) (5,0) (0,1) (3,30) (7,10) (8,31) (17,12) (2,16) (13,18) (15,1) (25,28) (1,26) (24,12) (1,5) (6,2) (21,9) (25,7) (18,8) (4,11) (0,30) (4,0) (5,27) (3,0) (0,2) (22,26) (19,13) (12,14) (25,13) (20,17) (23,28) (29,1) (29,25) (16,14) (11,6) (5,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph457", - "image": "data/cycle/graph_visual/Base/hard/graph457.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (4,27) (16,21) (14,15) (6,18) (2,10) (13,22) (0,24) (0,12) (28,29) (18,24) (2,19) (0,27) (20,15) (25,13) (3,7) (6,26) (23,17) (1,29) (8,20) (22,7) (19,11) (8,18) (10,20) (5,17) (6,1) (3,11) (9,16) (9,24) (29,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1769", - "image": "data/cycle/graph_visual/Base/hard/graph1769.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (3,32) (15,0) (11,24) (9,8) (27,32) (23,10) (0,22) (32,4) (13,3) (23,16) (1,3) (24,23) (6,17) (27,5) (30,2) (20,14) (9,28) (30,1) (7,22) (29,21) (0,9) (30,18) (31,14) (25,21) (13,26) (28,12) (1,0) (10,21) (12,4) (25,5) (17,19) (29,17) (14,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1540", - "image": "data/cycle/graph_visual/Base/hard/graph1540.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (6,17) (9,18) (17,23) (30,22) (19,12) (5,2) (1,19) (17,0) (12,18) (21,13) (8,10) (11,10) (13,20) (14,7) (15,23) (0,3) (0,21) (25,28) (13,2) (11,4) (1,0) (24,3) (30,8) (16,14) (29,30) (26,8) (15,25) (16,12) (0,29) (1,25) (27,30)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1359", - "image": "data/cycle/graph_visual/Base/hard/graph1359.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (14,4) (17,27) (10,6) (23,12) (20,6) (25,3) (3,2) (23,2) (1,0) (12,22) (16,25) (21,1) (21,20) (3,17) (13,16) (24,11) (9,26) (7,10) (8,1) (11,13) (5,0) (14,8) (14,15) (28,26) (5,22) (24,18) (2,0) (23,14) (0,3) (9,7) (0,4) (5,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph338", - "image": "data/cycle/graph_visual/Base/hard/graph338.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (7,21) (26,3) (14,21) (16,24) (23,13) (10,23) (4,28) (12,9) (21,0) (26,15) (8,26) (21,3) (4,14) (1,22) (11,20) (20,17) (1,20) (23,12) (9,25) (2,19) (25,16) (14,11) (25,19) (18,16) (2,6) (5,19) (14,13) (19,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph578", - "image": "data/cycle/graph_visual/Base/hard/graph578.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (22,4) (24,25) (13,7) (3,16) (24,20) (24,29) (22,16) (26,19) (13,15) (15,8) (6,23) (27,23) (28,11) (29,12) (17,5) (14,17) (10,21) (30,2) (3,25) (30,3) (18,7) (8,23) (18,19) (23,0) (10,14) (26,9) (5,11) (1,14) (17,20) (21,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1134", - "image": "data/cycle/graph_visual/Base/hard/graph1134.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (7,16) (3,4) (3,0) (21,9) (13,0) (16,6) (22,16) (24,25) (8,23) (18,2) (5,20) (12,16) (3,14) (13,11) (26,17) (1,8) (14,5) (15,2) (11,17) (6,14) (9,18) (18,19) (8,13) (15,10) (15,12) (1,0) (24,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1456", - "image": "data/cycle/graph_visual/Base/hard/graph1456.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (1,10) (26,27) (18,2) (0,1) (19,21) (16,25) (13,8) (18,6) (8,25) (16,4) (18,21) (13,0) (29,1) (15,5) (3,18) (15,16) (17,28) (14,25) (21,20) (2,26) (24,22) (25,23) (20,10) (12,18) (3,24) (28,1) (5,26) (7,17) (9,17) (25,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph629", - "image": "data/cycle/graph_visual/Base/hard/graph629.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (17,9) (22,21) (31,16) (15,5) (13,27) (8,17) (0,24) (16,20) (19,7) (27,4) (6,17) (8,29) (4,26) (2,11) (19,5) (18,7) (20,11) (0,7) (16,14) (4,1) (23,30) (25,18) (30,13) (9,3) (31,12) (26,9) (4,28) (1,21) (26,10) (2,19) (3,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph630", - "image": "data/cycle/graph_visual/Base/hard/graph630.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (26,0) (21,14) (15,24) (6,9) (27,5) (8,24) (16,15) (19,11) (18,17) (3,12) (15,21) (28,19) (25,9) (4,25) (21,5) (29,1) (14,23) (13,26) (21,29) (31,22) (7,29) (28,20) (31,6) (18,19) (3,0) (3,30) (26,24) (10,12) (4,1) (23,2) (19,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1537", - "image": "data/cycle/graph_visual/Base/hard/graph1537.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (19,0) (20,29) (20,30) (26,2) (29,12) (1,0) (25,8) (6,19) (16,7) (1,28) (13,27) (14,4) (8,27) (0,15) (10,17) (6,20) (25,4) (24,3) (23,18) (23,16) (11,25) (15,21) (5,17) (0,24) (2,0) (22,4) (16,19) (17,30) (6,25) (20,2) (0,3) (9,23) (18,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1933", - "image": "data/cycle/graph_visual/Base/hard/graph1933.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (24,17) (11,31) (7,20) (23,2) (24,8) (27,15) (27,9) (0,3) (14,4) (0,2) (32,33) (10,33) (14,32) (12,30) (22,6) (8,29) (1,10) (16,8) (19,23) (25,34) (18,13) (33,23) (32,30) (25,21) (16,26) (0,5) (18,1) (28,9) (31,6) (0,4) (5,32) (24,9) (24,20) (27,11) (0,1) (34,14) (23,27) (1,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1568", - "image": "data/cycle/graph_visual/Base/hard/graph1568.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (11,30) (16,6) (10,3) (26,15) (26,14) (20,8) (29,28) (8,2) (12,8) (21,16) (22,16) (11,16) (6,18) (13,4) (29,26) (16,5) (0,26) (11,4) (10,0) (17,24) (27,22) (0,1) (1,23) (6,2) (19,7) (6,19) (9,25) (1,19) (0,25) (14,24) (4,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1981", - "image": "data/cycle/graph_visual/Base/hard/graph1981.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (18,11) (32,13) (31,30) (8,5) (14,17) (7,29) (3,6) (34,17) (18,1) (24,22) (26,4) (15,28) (15,25) (26,31) (0,2) (0,32) (20,31) (17,21) (25,22) (13,33) (19,23) (34,10) (27,24) (10,25) (3,1) (23,4) (7,32) (15,12) (18,33) (27,16) (3,0) (0,1) (21,2) (11,31) (9,11) (5,0) (20,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph249", - "image": "data/cycle/graph_visual/Base/hard/graph249.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (15,12) (20,13) (15,19) (4,11) (22,6) (26,25) (2,19) (15,17) (6,7) (27,20) (22,15) (18,3) (15,11) (1,7) (0,18) (17,5) (8,17) (24,17) (19,10) (14,18) (8,21) (2,16) (4,9) (0,26) (20,12) (17,26) (7,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph633", - "image": "data/cycle/graph_visual/Base/hard/graph633.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (2,9) (15,11) (31,9) (16,12) (19,5) (6,4) (29,30) (17,30) (26,11) (8,27) (0,20) (15,0) (25,21) (22,24) (12,6) (7,16) (10,2) (1,12) (14,25) (18,9) (23,28) (13,6) (21,26) (11,23) (19,24) (3,13) (22,27) (23,3) (29,18) (27,11) (12,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph660", - "image": "data/cycle/graph_visual/Base/hard/graph660.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (30,15) (26,16) (24,13) (22,31) (23,31) (4,2) (25,0) (28,0) (20,1) (7,23) (11,3) (22,15) (10,19) (14,12) (9,1) (4,18) (14,21) (18,5) (26,1) (17,16) (20,5) (22,6) (23,14) (22,17) (9,19) (23,28) (21,8) (24,29) (8,11) (27,4) (14,29)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph649", - "image": "data/cycle/graph_visual/Base/hard/graph649.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (29,7) (22,8) (12,22) (18,10) (4,23) (19,20) (14,16) (21,20) (5,25) (9,11) (31,25) (2,7) (15,26) (6,4) (19,1) (26,1) (2,0) (29,24) (3,12) (12,7) (16,9) (25,27) (17,6) (17,18) (24,4) (13,6) (16,20) (12,28) (27,6) (30,26) (1,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1391", - "image": "data/cycle/graph_visual/Base/hard/graph1391.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (11,27) (22,5) (19,17) (10,2) (12,27) (0,1) (16,14) (23,14) (6,19) (28,21) (14,3) (23,1) (10,0) (1,26) (9,8) (28,13) (21,15) (23,13) (2,25) (0,18) (12,5) (17,10) (4,5) (20,16) (11,7) (4,8) (19,24) (22,19) (22,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph550", - "image": "data/cycle/graph_visual/Base/hard/graph550.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (9,28) (1,0) (7,5) (27,23) (20,16) (8,17) (29,14) (13,20) (17,2) (26,15) (12,29) (16,0) (9,21) (13,18) (0,24) (19,25) (8,7) (5,25) (3,10) (25,10) (29,8) (11,17) (13,26) (30,6) (1,4) (28,11) (20,23) (15,30) (22,2) (2,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1510", - "image": "data/cycle/graph_visual/Base/hard/graph1510.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (30,13) (11,5) (21,28) (4,26) (24,30) (8,11) (17,7) (13,2) (30,23) (3,10) (12,22) (0,19) (11,12) (2,0) (16,18) (25,30) (3,4) (28,9) (19,11) (29,18) (9,10) (6,18) (8,3) (16,26) (1,0) (14,0) (0,20) (2,27) (1,16) (24,0) (28,7) (26,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1220", - "image": "data/cycle/graph_visual/Base/hard/graph1220.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (18,0) (6,7) (2,16) (9,4) (0,1) (18,14) (19,2) (18,3) (17,26) (17,15) (19,15) (26,0) (26,25) (7,23) (8,17) (15,22) (17,5) (21,8) (13,20) (15,12) (11,4) (20,27) (19,10) (6,22) (17,24) (15,11) (7,1) (20,12) (0,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph163", - "image": "data/cycle/graph_visual/Base/hard/graph163.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (8,17) (13,5) (14,12) (7,1) (4,24) (12,25) (15,13) (24,2) (9,4) (15,11) (4,16) (18,11) (21,9) (3,24) (19,3) (8,1) (26,17) (20,26) (19,25) (0,12) (9,23) (16,6) (25,8) (6,18) (10,16) (22,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph140", - "image": "data/cycle/graph_visual/Base/hard/graph140.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (25,20) (2,7) (8,20) (1,4) (25,16) (15,16) (7,23) (13,1) (2,10) (13,26) (6,0) (21,26) (15,10) (18,3) (14,6) (5,24) (14,26) (1,11) (12,15) (19,15) (23,11) (22,8) (18,0) (17,18) (13,9) (1,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1247", - "image": "data/cycle/graph_visual/Base/hard/graph1247.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (13,20) (12,3) (1,0) (6,19) (11,19) (2,1) (9,15) (7,16) (5,16) (23,24) (11,12) (23,20) (21,12) (20,3) (25,5) (0,27) (27,23) (18,26) (0,8) (22,0) (9,13) (15,10) (16,19) (11,1) (12,26) (10,17) (14,7) (18,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1871", - "image": "data/cycle/graph_visual/Base/hard/graph1871.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (8,25) (23,20) (20,13) (28,20) (1,27) (28,21) (25,4) (18,32) (10,26) (11,3) (5,11) (29,0) (31,1) (19,4) (22,29) (31,15) (23,33) (18,12) (20,7) (0,4) (9,8) (5,30) (14,1) (0,32) (10,21) (0,2) (22,16) (27,9) (6,13) (0,1) (2,31) (22,17) (21,11) (24,21) (18,21) (3,0) (18,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1195", - "image": "data/cycle/graph_visual/Base/hard/graph1195.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (3,21) (6,8) (21,25) (0,2) (13,7) (3,5) (20,21) (13,17) (15,19) (16,19) (6,20) (0,1) (12,8) (4,0) (14,10) (3,0) (19,1) (5,14) (18,8) (1,9) (13,15) (1,5) (13,11) (22,5) (0,5) (4,24) (3,2) (24,14) (26,3) (9,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph902", - "image": "data/cycle/graph_visual/Base/hard/graph902.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (15,11) (19,13) (32,12) (1,11) (18,22) (30,10) (12,31) (13,31) (11,29) (33,20) (10,15) (8,31) (7,20) (16,0) (16,24) (30,17) (29,18) (4,21) (16,27) (11,14) (12,6) (34,25) (28,7) (28,3) (7,2) (16,19) (9,31) (25,21) (33,23) (12,26) (5,15) (21,0) (23,32) (15,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1249", - "image": "data/cycle/graph_visual/Base/hard/graph1249.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (7,26) (25,3) (23,21) (18,3) (18,9) (20,12) (15,1) (10,0) (18,22) (27,16) (8,19) (11,9) (26,23) (24,4) (3,13) (3,0) (0,2) (27,26) (2,12) (1,9) (15,14) (0,4) (24,17) (6,0) (24,27) (18,21) (1,8) (1,0) (27,6) (26,5) (20,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph861", - "image": "data/cycle/graph_visual/Base/hard/graph861.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (28,14) (13,32) (13,33) (28,5) (25,10) (7,1) (19,14) (15,13) (16,2) (7,6) (5,7) (8,20) (17,8) (25,21) (23,25) (21,31) (18,7) (12,30) (13,12) (8,3) (26,13) (1,25) (33,24) (29,21) (23,15) (9,22) (0,4) (30,0) (3,2) (14,8) (27,26) (9,2) (9,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1626", - "image": "data/cycle/graph_visual/Base/hard/graph1626.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (2,21) (8,7) (18,6) (0,1) (29,21) (15,1) (31,30) (27,12) (23,19) (3,14) (0,2) (1,23) (16,13) (9,11) (25,23) (21,8) (26,21) (10,4) (5,10) (3,28) (17,16) (10,21) (18,9) (5,20) (17,23) (22,0) (0,6) (4,30) (24,0) (1,3) (20,15) (6,31) (27,31)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1482", - "image": "data/cycle/graph_visual/Base/hard/graph1482.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (29,8) (1,0) (2,0) (20,1) (5,3) (19,8) (13,7) (13,17) (5,1) (20,6) (4,24) (2,3) (21,3) (28,22) (9,1) (5,25) (10,14) (9,26) (15,3) (15,29) (18,19) (6,23) (11,13) (3,0) (5,14) (0,4) (8,12) (24,21) (15,13) (27,14) (16,19) (28,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph875", - "image": "data/cycle/graph_visual/Base/hard/graph875.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (11,10) (23,32) (10,16) (12,10) (28,27) (16,5) (12,14) (33,4) (25,10) (21,20) (4,19) (1,7) (29,22) (13,2) (13,8) (20,10) (9,17) (31,29) (0,18) (3,24) (20,13) (5,15) (11,6) (2,23) (28,0) (31,19) (33,1) (31,26) (4,21) (5,30) (7,24) (18,9) (19,28)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph955", - "image": "data/cycle/graph_visual/Base/hard/graph955.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (1,10) (28,21) (21,20) (20,8) (16,4) (27,5) (2,12) (7,6) (6,4) (19,28) (20,26) (25,31) (30,18) (12,24) (13,15) (17,8) (6,5) (14,26) (11,10) (22,26) (0,9) (5,25) (32,13) (21,27) (12,34) (12,5) (9,20) (29,33) (30,31) (33,6) (1,26) (16,3) (15,2) (23,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1130", - "image": "data/cycle/graph_visual/Base/hard/graph1130.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (14,8) (4,21) (11,22) (3,25) (0,5) (8,0) (2,15) (12,24) (23,21) (17,4) (1,16) (25,6) (3,0) (26,7) (4,0) (8,15) (18,5) (23,13) (9,2) (11,10) (6,23) (0,2) (19,18) (0,1) (15,18) (24,20) (26,13) (25,15) (0,24) (10,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph273", - "image": "data/cycle/graph_visual/Base/hard/graph273.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (26,6) (24,20) (13,7) (15,8) (12,3) (4,23) (13,15) (27,19) (2,22) (7,18) (5,11) (25,24) (23,8) (21,22) (17,5) (17,20) (17,14) (3,19) (14,1) (21,10) (9,16) (23,11) (25,27) (24,26) (0,23) (14,10) (18,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1231", - "image": "data/cycle/graph_visual/Base/hard/graph1231.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (17,16) (26,19) (26,7) (11,20) (2,5) (26,10) (9,12) (8,23) (14,27) (1,0) (9,25) (21,14) (12,23) (18,1) (2,19) (3,24) (3,21) (16,22) (25,16) (20,15) (21,0) (13,23) (1,20) (14,11) (19,25) (13,14) (19,4) (21,6) (0,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1835", - "image": "data/cycle/graph_visual/Base/hard/graph1835.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (6,1) (6,27) (17,23) (1,26) (22,11) (10,25) (15,9) (17,6) (21,16) (5,0) (3,0) (14,18) (13,33) (4,30) (19,1) (26,32) (19,20) (26,16) (2,0) (22,20) (4,24) (7,12) (16,9) (31,12) (4,0) (1,0) (18,6) (7,3) (24,29) (12,28) (4,6) (8,12) (33,27) (25,20) (33,2) (29,7) (32,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph135", - "image": "data/cycle/graph_visual/Base/hard/graph135.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (7,11) (13,23) (8,11) (3,23) (21,18) (7,21) (25,1) (22,11) (22,4) (3,10) (9,16) (16,5) (20,11) (8,24) (5,7) (14,22) (25,12) (19,4) (0,6) (1,15) (26,7) (0,17) (2,6) (12,8) (0,1) (14,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph170", - "image": "data/cycle/graph_visual/Base/hard/graph170.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (8,23) (20,17) (11,10) (8,2) (5,15) (6,10) (20,21) (0,8) (5,25) (19,7) (17,4) (13,6) (4,7) (24,15) (16,21) (26,6) (3,9) (7,12) (0,26) (18,17) (0,16) (25,1) (26,25) (22,19) (3,14) (15,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1805", - "image": "data/cycle/graph_visual/Base/hard/graph1805.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (24,12) (29,8) (0,26) (2,0) (25,14) (13,33) (9,28) (14,23) (10,33) (20,4) (29,11) (6,14) (14,19) (0,3) (2,16) (12,30) (21,17) (21,16) (15,28) (31,23) (8,22) (2,26) (22,23) (1,18) (28,33) (18,27) (5,32) (14,32) (27,10) (28,25) (0,1) (8,7) (3,18) (7,30) (4,29) (16,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph719", - "image": "data/cycle/graph_visual/Base/hard/graph719.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (32,19) (1,4) (23,27) (14,17) (27,1) (13,22) (11,16) (19,28) (12,11) (21,16) (16,1) (7,30) (10,7) (24,3) (26,29) (18,20) (21,20) (17,3) (25,19) (0,8) (20,3) (25,11) (7,3) (9,32) (22,11) (31,9) (26,12) (6,28) (11,8) (2,15) (15,5) (14,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph622", - "image": "data/cycle/graph_visual/Base/hard/graph622.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (15,24) (0,20) (14,16) (12,22) (8,26) (20,3) (5,12) (30,8) (12,1) (9,14) (24,9) (6,2) (24,0) (29,14) (7,26) (10,0) (7,19) (14,6) (28,25) (14,13) (22,10) (18,27) (4,27) (31,14) (21,4) (30,23) (11,29) (22,7) (29,17) (30,27) (28,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1507", - "image": "data/cycle/graph_visual/Base/hard/graph1507.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (14,9) (8,11) (5,7) (21,26) (12,5) (12,25) (4,8) (15,1) (23,29) (0,20) (2,26) (19,8) (2,6) (29,27) (15,7) (17,22) (23,2) (20,29) (26,15) (13,30) (30,18) (7,28) (26,24) (10,17) (11,26) (10,8) (18,20) (22,3) (9,6) (16,2) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1969", - "image": "data/cycle/graph_visual/Base/hard/graph1969.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (6,30) (21,9) (20,14) (28,11) (16,28) (33,1) (10,29) (4,25) (15,26) (13,26) (32,27) (31,4) (8,12) (2,0) (7,0) (7,31) (8,4) (20,29) (18,3) (18,8) (6,19) (23,24) (9,13) (31,2) (7,28) (17,20) (2,5) (28,24) (8,34) (18,22) (32,22) (1,0) (5,6) (1,16) (17,24) (3,0) (25,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph255", - "image": "data/cycle/graph_visual/Base/hard/graph255.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (12,15) (18,19) (21,9) (25,24) (16,12) (2,15) (5,14) (2,18) (17,27) (15,10) (6,16) (13,0) (13,11) (8,1) (16,22) (27,24) (4,3) (8,13) (23,8) (18,9) (14,6) (20,5) (0,3) (7,16) (14,3) (0,26) (11,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1802", - "image": "data/cycle/graph_visual/Base/hard/graph1802.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (17,9) (21,1) (9,26) (15,5) (20,33) (4,29) (11,2) (2,0) (20,11) (17,8) (27,13) (4,26) (31,13) (5,19) (9,3) (32,16) (4,27) (31,12) (0,25) (4,1) (0,3) (24,30) (0,1) (30,8) (7,19) (17,6) (23,21) (18,28) (19,2) (16,14) (22,16) (0,7) (3,2) (7,18) (20,22) (10,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph624", - "image": "data/cycle/graph_visual/Base/hard/graph624.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (24,20) (28,9) (1,3) (2,23) (29,8) (9,27) (27,23) (31,6) (13,27) (6,22) (10,1) (30,7) (31,25) (12,18) (24,9) (18,24) (25,21) (16,8) (30,11) (11,27) (14,23) (19,1) (14,4) (5,20) (15,14) (24,8) (10,23) (2,0) (15,17) (16,26) (25,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1966", - "image": "data/cycle/graph_visual/Base/hard/graph1966.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (6,33) (27,23) (21,10) (10,11) (26,23) (10,15) (1,20) (19,3) (34,9) (31,29) (9,14) (10,28) (30,7) (33,5) (29,4) (10,17) (4,27) (22,10) (11,33) (14,32) (3,2) (9,7) (0,26) (6,12) (1,0) (2,17) (1,10) (26,2) (4,16) (21,18) (25,30) (8,17) (11,14) (30,13) (26,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph427", - "image": "data/cycle/graph_visual/Base/hard/graph427.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (2,16) (19,1) (14,3) (29,5) (27,29) (9,6) (25,20) (9,20) (6,22) (11,8) (28,27) (21,18) (14,2) (9,26) (29,10) (26,23) (23,19) (27,21) (4,9) (14,0) (15,8) (24,2) (21,7) (12,15) (2,26) (7,1) (2,17) (21,13) (23,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph125", - "image": "data/cycle/graph_visual/Base/hard/graph125.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (1,4) (23,11) (2,7) (2,10) (16,25) (25,20) (15,19) (6,14) (6,0) (26,14) (21,26) (12,15) (1,11) (1,13) (3,18) (5,1) (8,22) (0,18) (26,13) (8,20) (7,23) (13,9) (5,24) (15,16) (10,15) (17,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1050", - "image": "data/cycle/graph_visual/Base/hard/graph1050.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (14,20) (18,0) (11,9) (10,3) (25,12) (5,0) (18,16) (23,24) (4,0) (8,11) (11,0) (3,0) (24,17) (7,10) (23,8) (6,4) (15,14) (2,0) (22,1) (6,25) (3,21) (7,25) (15,21) (19,17) (20,2) (1,13) (0,1) (5,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1577", - "image": "data/cycle/graph_visual/Base/hard/graph1577.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (26,7) (13,30) (19,2) (24,30) (23,16) (4,8) (12,17) (3,11) (5,3) (26,0) (30,17) (18,26) (15,27) (20,29) (14,24) (23,19) (6,23) (11,15) (8,11) (25,14) (3,0) (0,1) (20,1) (5,28) (10,22) (9,25) (0,2) (21,20) (1,28) (12,7) (22,29) (7,27) (16,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph130", - "image": "data/cycle/graph_visual/Base/hard/graph130.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (8,9) (23,25) (11,16) (17,21) (24,6) (11,26) (18,1) (8,19) (11,2) (13,20) (14,23) (5,13) (18,21) (26,7) (19,6) (20,12) (4,2) (23,16) (21,5) (5,10) (15,25) (12,25) (3,2) (0,1) (22,9) (1,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph185", - "image": "data/cycle/graph_visual/Base/hard/graph185.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (8,15) (23,0) (26,25) (26,6) (24,25) (24,23) (5,11) (24,20) (7,18) (1,14) (10,21) (15,13) (11,22) (17,14) (23,4) (9,16) (10,14) (22,2) (12,3) (20,17) (5,17) (3,19) (8,23) (13,7) (18,16) (21,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph903", - "image": "data/cycle/graph_visual/Base/hard/graph903.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (16,24) (21,5) (30,20) (32,33) (14,7) (31,23) (12,4) (12,26) (26,13) (25,2) (8,5) (0,17) (5,30) (20,25) (13,24) (12,28) (11,21) (10,15) (3,24) (34,0) (14,8) (11,6) (9,13) (29,11) (15,16) (18,33) (27,31) (29,9) (5,22) (5,33) (2,17) (34,19) (1,25) (23,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph580", - "image": "data/cycle/graph_visual/Base/hard/graph580.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (12,24) (18,17) (11,21) (29,16) (13,11) (22,8) (14,13) (30,5) (25,29) (20,12) (7,26) (19,1) (16,30) (27,9) (4,17) (11,15) (17,24) (0,17) (22,26) (0,11) (28,6) (1,12) (27,30) (23,30) (5,7) (30,10) (12,3) (19,28) (12,7) (2,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph475", - "image": "data/cycle/graph_visual/Base/hard/graph475.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (19,18) (18,11) (25,12) (27,15) (7,6) (28,27) (0,6) (21,23) (29,16) (10,3) (17,27) (26,4) (22,7) (24,14) (24,13) (17,7) (12,17) (28,8) (11,20) (21,18) (5,3) (9,6) (22,1) (7,24) (27,26) (21,24) (29,19) (2,19) (14,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph910", - "image": "data/cycle/graph_visual/Base/hard/graph910.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (14,0) (31,22) (1,18) (24,7) (6,28) (18,4) (1,8) (15,16) (25,13) (16,20) (14,10) (29,4) (11,24) (17,4) (29,27) (0,23) (11,1) (21,22) (0,20) (2,12) (9,12) (3,13) (0,2) (26,23) (19,32) (32,25) (22,27) (25,6) (19,17) (6,33) (27,16) (5,16) (30,27) (12,34)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph79", - "image": "data/cycle/graph_visual/Base/hard/graph79.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (21,20) (13,8) (17,9) (20,10) (3,23) (25,1) (15,16) (16,4) (3,18) (5,15) (6,18) (2,18) (22,25) (0,13) (24,16) (25,14) (21,17) (19,24) (10,1) (7,17) (11,25) (2,5) (25,8) (18,21) (18,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph368", - "image": "data/cycle/graph_visual/Base/hard/graph368.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (20,24) (28,3) (12,7) (5,3) (10,22) (19,20) (14,24) (26,13) (15,27) (14,22) (18,23) (25,5) (9,25) (17,3) (26,11) (19,2) (16,21) (11,8) (1,28) (17,12) (27,7) (11,15) (23,6) (0,16) (8,4) (20,1) (26,0) (23,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph354", - "image": "data/cycle/graph_visual/Base/hard/graph354.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (13,7) (1,20) (16,0) (18,3) (15,20) (19,4) (14,26) (9,21) (6,18) (21,24) (11,22) (23,4) (7,9) (6,20) (17,21) (4,1) (5,28) (28,8) (25,14) (1,12) (28,6) (16,28) (2,14) (16,10) (26,0) (8,11) (27,23) (23,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph197", - "image": "data/cycle/graph_visual/Base/hard/graph197.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (12,17) (23,5) (2,7) (3,8) (1,6) (4,5) (14,12) (13,22) (26,2) (15,10) (26,13) (16,9) (18,1) (13,16) (25,21) (19,4) (0,14) (1,17) (11,14) (24,20) (25,1) (0,20) (23,8) (15,11) (7,0) (11,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph675", - "image": "data/cycle/graph_visual/Base/hard/graph675.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (1,11) (24,6) (16,13) (14,9) (7,1) (4,17) (10,25) (27,26) (25,19) (11,15) (22,28) (20,0) (8,12) (5,24) (13,2) (29,27) (22,14) (6,25) (12,0) (0,31) (16,3) (23,21) (6,30) (0,23) (1,18) (16,20) (16,27) (29,4) (4,18) (27,22) (19,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1010", - "image": "data/cycle/graph_visual/Base/hard/graph1010.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (0,5) (0,13) (25,9) (7,21) (0,1) (25,6) (13,23) (15,10) (10,4) (15,18) (20,10) (3,0) (2,24) (20,17) (18,21) (1,23) (14,18) (14,13) (6,13) (4,3) (16,8) (2,3) (24,11) (21,8) (2,0) (5,22) (4,12) (19,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph398", - "image": "data/cycle/graph_visual/Base/hard/graph398.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (7,11) (18,25) (8,11) (23,11) (26,8) (28,7) (21,22) (27,12) (21,19) (2,6) (7,5) (1,28) (7,24) (0,17) (13,23) (3,25) (5,16) (0,6) (4,27) (3,10) (8,12) (20,4) (9,16) (10,14) (15,1) (22,14) (1,0) (22,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1316", - "image": "data/cycle/graph_visual/Base/hard/graph1316.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (26,4) (8,4) (16,7) (13,21) (22,11) (19,6) (0,1) (4,19) (17,4) (7,13) (22,6) (4,24) (17,9) (12,5) (6,27) (3,1) (7,2) (18,20) (5,15) (6,0) (23,3) (2,0) (13,0) (28,2) (25,12) (14,24) (26,5) (19,10) (0,4) (14,20) (0,3) (6,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1095", - "image": "data/cycle/graph_visual/Base/hard/graph1095.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (2,0) (0,1) (0,4) (5,16) (8,2) (12,7) (11,10) (24,17) (11,20) (7,5) (12,3) (18,16) (11,0) (13,11) (19,24) (25,4) (15,12) (17,6) (23,7) (17,21) (8,22) (18,0) (1,19) (13,9) (12,1) (12,22) (17,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1383", - "image": "data/cycle/graph_visual/Base/hard/graph1383.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (19,9) (13,12) (17,25) (1,17) (10,25) (9,6) (9,27) (3,0) (21,0) (24,2) (15,7) (20,24) (8,6) (2,10) (7,9) (11,3) (21,28) (15,14) (2,0) (18,9) (4,14) (12,5) (16,7) (27,26) (7,10) (1,11) (0,1) (13,26) (26,22) (4,0) (14,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph420", - "image": "data/cycle/graph_visual/Base/hard/graph420.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (21,25) (21,10) (24,7) (12,13) (1,2) (18,11) (27,17) (11,19) (6,22) (28,24) (22,3) (18,26) (29,5) (15,23) (9,11) (16,0) (20,22) (3,14) (9,1) (4,14) (17,28) (8,4) (16,13) (5,12) (27,19) (0,25) (19,14) (13,24) (19,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1113", - "image": "data/cycle/graph_visual/Base/hard/graph1113.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (5,3) (24,20) (26,6) (0,1) (21,6) (4,2) (11,21) (13,14) (17,10) (2,0) (8,22) (20,17) (22,23) (19,7) (24,19) (12,9) (2,13) (1,15) (25,24) (20,4) (6,0) (25,18) (20,3) (6,14) (26,22) (12,0) (8,15) (25,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1629", - "image": "data/cycle/graph_visual/Base/hard/graph1629.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (11,3) (4,19) (25,4) (25,8) (20,28) (0,2) (9,27) (1,14) (13,20) (11,21) (20,7) (9,8) (1,29) (22,29) (21,18) (15,31) (18,12) (18,25) (11,5) (2,31) (17,22) (0,4) (0,1) (24,10) (5,0) (31,20) (27,1) (28,21) (0,26) (21,23) (13,6) (16,22) (10,21) (30,18) (0,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1251", - "image": "data/cycle/graph_visual/Base/hard/graph1251.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (7,6) (0,11) (22,23) (5,22) (21,27) (18,25) (0,4) (25,9) (20,11) (17,20) (19,8) (0,16) (2,0) (1,6) (23,12) (24,0) (0,5) (21,8) (7,12) (1,0) (21,9) (2,11) (3,0) (26,5) (12,10) (2,26) (3,27) (0,13) (14,6) (15,18) (8,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1799", - "image": "data/cycle/graph_visual/Base/hard/graph1799.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (0,24) (24,17) (5,24) (4,13) (10,20) (9,28) (18,27) (15,0) (1,15) (9,26) (3,7) (16,3) (6,7) (23,4) (17,22) (28,25) (20,29) (21,18) (1,8) (10,16) (7,1) (2,31) (24,19) (10,14) (23,30) (0,1) (9,32) (6,9) (8,30) (12,14) (21,11) (13,18) (27,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1067", - "image": "data/cycle/graph_visual/Base/hard/graph1067.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (4,19) (20,14) (22,16) (8,5) (3,7) (11,0) (10,0) (22,3) (7,24) (12,1) (6,2) (21,10) (4,22) (20,9) (4,23) (10,13) (0,2) (18,21) (1,0) (17,0) (0,3) (12,16) (24,15) (14,5) (13,14) (10,6) (19,5) (21,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1595", - "image": "data/cycle/graph_visual/Base/hard/graph1595.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (23,28) (15,3) (9,27) (15,13) (20,6) (2,0) (8,12) (24,4) (11,13) (5,14) (17,19) (13,7) (21,29) (9,1) (30,15) (6,24) (26,5) (0,4) (21,25) (21,3) (29,8) (14,10) (18,13) (3,0) (22,19) (14,28) (5,1) (1,20) (5,3) (2,3) (8,19) (0,1) (30,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph136", - "image": "data/cycle/graph_visual/Base/hard/graph136.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (21,0) (7,11) (14,19) (6,5) (10,17) (2,5) (10,16) (17,24) (3,25) (9,25) (17,25) (14,26) (11,25) (22,26) (4,1) (18,14) (13,15) (2,19) (20,26) (12,17) (25,14) (3,1) (10,8) (21,13) (18,13) (23,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph691", - "image": "data/cycle/graph_visual/Base/hard/graph691.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (16,6) (6,31) (2,4) (1,0) (27,7) (24,7) (8,18) (0,13) (8,23) (4,23) (8,24) (29,28) (12,28) (19,30) (27,5) (17,11) (3,19) (1,23) (29,13) (29,25) (30,20) (16,15) (19,31) (18,14) (29,11) (9,15) (10,26) (20,13) (22,10) (4,21) (26,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph836", - "image": "data/cycle/graph_visual/Base/hard/graph836.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (6,5) (0,31) (21,13) (11,25) (25,13) (6,10) (7,24) (4,30) (28,18) (4,3) (2,7) (14,26) (8,7) (21,18) (11,9) (12,5) (5,33) (25,23) (18,29) (2,20) (32,5) (30,14) (4,31) (10,19) (10,27) (10,3) (9,16) (22,1) (4,7) (22,23) (30,13) (15,22) (7,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1746", - "image": "data/cycle/graph_visual/Base/hard/graph1746.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (31,30) (11,22) (0,15) (4,15) (2,24) (2,22) (0,21) (26,7) (28,20) (30,10) (18,26) (0,27) (10,28) (6,30) (11,19) (12,26) (2,13) (1,0) (2,7) (24,23) (26,31) (17,14) (28,25) (32,3) (8,16) (32,24) (5,3) (14,29) (9,23) (8,10) (4,10) (31,17) (1,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1691", - "image": "data/cycle/graph_visual/Base/hard/graph1691.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (0,4) (7,28) (19,21) (22,3) (23,4) (20,7) (1,14) (11,6) (13,4) (17,25) (7,23) (0,10) (30,18) (27,15) (16,26) (4,12) (5,30) (31,17) (0,1) (18,11) (19,31) (28,10) (3,0) (18,13) (26,20) (2,0) (19,14) (27,24) (3,20) (17,2) (9,30) (17,15) (29,3) (20,8) (15,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph566", - "image": "data/cycle/graph_visual/Base/hard/graph566.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (30,28) (1,19) (7,1) (14,2) (21,13) (8,11) (15,12) (21,27) (20,9) (27,30) (12,23) (29,27) (9,26) (26,23) (14,3) (6,9) (10,29) (6,22) (19,23) (21,18) (0,14) (16,2) (9,4) (2,17) (8,15) (29,5) (7,21) (26,2) (2,24) (25,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1967", - "image": "data/cycle/graph_visual/Base/hard/graph1967.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (9,16) (13,30) (4,32) (3,10) (31,0) (5,33) (18,28) (2,7) (13,25) (27,10) (13,21) (7,17) (21,31) (30,14) (2,0) (26,14) (1,22) (4,7) (11,9) (2,20) (19,10) (22,23) (7,24) (23,25) (18,5) (7,8) (5,12) (10,6) (4,3) (18,29) (18,34) (0,1) (3,0) (11,25) (6,5) (15,22) (4,30)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph326", - "image": "data/cycle/graph_visual/Base/hard/graph326.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (13,23) (11,7) (27,12) (28,7) (15,1) (11,23) (21,22) (5,16) (8,26) (17,0) (4,20) (9,16) (2,6) (25,18) (10,3) (11,8) (11,22) (7,5) (27,4) (24,7) (14,22) (3,25) (10,14) (21,19) (0,6) (1,0) (28,1) (12,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph385", - "image": "data/cycle/graph_visual/Base/hard/graph385.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (25,3) (11,17) (0,16) (15,16) (26,2) (15,27) (28,7) (7,10) (24,0) (13,9) (3,0) (6,2) (18,16) (1,18) (5,20) (24,28) (5,11) (15,26) (19,5) (5,21) (8,23) (22,0) (28,9) (27,5) (21,14) (8,20) (12,14) (4,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph834", - "image": "data/cycle/graph_visual/Base/hard/graph834.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (20,32) (10,25) (14,3) (21,13) (7,29) (5,27) (20,0) (8,18) (26,18) (17,3) (24,26) (25,3) (7,9) (2,13) (6,16) (4,28) (25,32) (3,27) (4,15) (19,7) (23,6) (2,8) (33,19) (3,11) (30,14) (2,14) (5,22) (23,27) (26,9) (12,4) (3,31) (9,1) (15,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1294", - "image": "data/cycle/graph_visual/Base/hard/graph1294.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (1,21) (0,2) (19,25) (4,15) (9,17) (17,18) (0,4) (1,6) (14,16) (13,7) (8,18) (17,4) (0,22) (23,2) (27,12) (0,26) (26,20) (20,7) (11,18) (16,18) (24,10) (3,2) (25,2) (0,1) (26,1) (25,1) (5,12) (10,20) (27,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1387", - "image": "data/cycle/graph_visual/Base/hard/graph1387.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (9,28) (0,3) (7,12) (1,26) (0,2) (0,1) (1,18) (16,21) (11,19) (20,3) (25,28) (17,24) (16,22) (2,5) (22,8) (23,10) (9,4) (3,10) (4,6) (27,15) (25,24) (22,28) (1,16) (17,0) (14,23) (0,19) (2,6) (15,11) (0,13) (15,7) (26,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1101", - "image": "data/cycle/graph_visual/Base/hard/graph1101.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (25,15) (5,21) (23,1) (25,17) (6,15) (6,24) (20,25) (6,18) (11,9) (0,1) (2,22) (2,7) (3,14) (12,10) (20,16) (26,20) (26,2) (1,12) (4,11) (13,4) (5,9) (4,8) (14,1) (0,15) (19,6) (1,13) (9,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1244", - "image": "data/cycle/graph_visual/Base/hard/graph1244.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (0,2) (6,1) (4,3) (26,16) (21,15) (9,6) (27,19) (24,27) (17,15) (12,10) (16,12) (11,2) (23,13) (2,8) (9,2) (4,23) (12,22) (5,9) (23,14) (23,10) (11,23) (17,24) (21,20) (12,25) (1,0) (0,3) (17,13) (18,5) (7,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1656", - "image": "data/cycle/graph_visual/Base/hard/graph1656.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (15,2) (23,5) (1,0) (26,3) (3,16) (24,11) (10,28) (31,0) (22,9) (25,9) (29,22) (10,2) (24,8) (5,6) (31,20) (11,20) (13,12) (30,1) (12,30) (4,29) (17,13) (21,19) (1,29) (2,1) (24,22) (12,19) (3,5) (11,18) (27,14) (7,8) (28,14) (19,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph254", - "image": "data/cycle/graph_visual/Base/hard/graph254.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (22,5) (9,2) (21,20) (25,16) (27,13) (19,16) (15,8) (20,5) (1,5) (4,7) (21,26) (18,17) (14,9) (10,21) (12,20) (23,19) (15,16) (7,26) (11,8) (6,26) (14,15) (2,20) (0,18) (24,10) (20,3) (17,16) (13,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph424", - "image": "data/cycle/graph_visual/Base/hard/graph424.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (4,27) (0,21) (10,16) (0,27) (5,26) (13,15) (28,23) (1,23) (5,11) (18,16) (28,8) (22,12) (11,23) (14,23) (4,8) (7,28) (1,29) (27,3) (6,14) (14,20) (6,9) (17,22) (29,22) (19,2) (11,16) (25,29) (23,19) (1,24) (15,29)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1278", - "image": "data/cycle/graph_visual/Base/hard/graph1278.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (9,8) (1,4) (21,18) (11,2) (16,25) (1,19) (17,21) (14,5) (20,13) (25,12) (15,23) (18,1) (20,12) (23,27) (6,26) (2,7) (0,3) (13,5) (25,23) (0,27) (0,2) (3,27) (0,1) (22,27) (5,21) (6,19) (26,11) (0,4) (2,10) (19,8) (24,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph702", - "image": "data/cycle/graph_visual/Base/hard/graph702.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (28,20) (20,27) (8,6) (14,7) (25,32) (18,32) (24,21) (6,17) (9,21) (22,12) (13,28) (4,29) (17,26) (1,19) (16,11) (31,24) (2,9) (5,23) (4,12) (17,0) (12,30) (22,13) (15,0) (5,19) (7,23) (3,12) (5,11) (31,16) (20,10) (26,27) (1,17) (30,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph8", - "image": "data/cycle/graph_visual/Base/hard/graph8.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (22,21) (16,14) (20,14) (23,5) (8,9) (23,11) (5,15) (12,14) (10,7) (19,15) (7,25) (0,2) (8,25) (5,25) (17,18) (9,1) (16,4) (22,2) (24,2) (22,11) (13,9) (25,4) (3,17) (6,13) (3,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph106", - "image": "data/cycle/graph_visual/Base/hard/graph106.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (21,15) (6,19) (21,24) (6,20) (14,26) (11,22) (1,10) (7,9) (7,12) (14,2) (17,6) (16,0) (1,20) (16,23) (3,18) (26,19) (8,11) (14,24) (21,9) (23,8) (4,1) (13,20) (16,5) (18,4) (0,25) (4,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph808", - "image": "data/cycle/graph_visual/Base/hard/graph808.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (11,24) (22,21) (17,2) (12,21) (1,6) (33,27) (23,22) (6,0) (7,29) (26,14) (15,14) (18,26) (15,12) (2,32) (29,32) (20,27) (24,16) (30,22) (1,19) (10,32) (3,22) (25,0) (23,2) (21,8) (28,15) (5,4) (28,31) (13,25) (4,27) (9,16) (20,0) (16,30) (33,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1944", - "image": "data/cycle/graph_visual/Base/hard/graph1944.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (33,1) (21,4) (3,24) (13,2) (10,25) (13,20) (13,8) (9,18) (6,11) (31,26) (10,20) (28,27) (19,28) (29,22) (18,0) (34,32) (29,31) (5,16) (34,4) (7,24) (2,23) (10,11) (30,5) (19,4) (23,33) (28,0) (31,19) (9,17) (16,10) (12,14) (10,12) (7,1) (5,15) (1,0) (21,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1580", - "image": "data/cycle/graph_visual/Base/hard/graph1580.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (28,15) (10,2) (27,5) (28,7) (5,21) (23,0) (3,27) (15,29) (1,29) (0,16) (14,13) (4,0) (22,5) (9,14) (5,6) (5,20) (11,18) (28,9) (20,8) (1,0) (8,26) (24,30) (0,3) (2,26) (4,18) (16,15) (7,12) (0,24) (21,17) (11,5) (19,16) (30,25) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1104", - "image": "data/cycle/graph_visual/Base/hard/graph1104.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (0,1) (5,17) (2,16) (23,17) (19,2) (12,15) (24,26) (4,11) (0,26) (20,8) (19,15) (14,18) (25,17) (18,3) (19,10) (4,9) (17,15) (21,7) (6,22) (8,17) (7,6) (7,1) (0,18) (11,15) (20,13) (22,15) (26,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1076", - "image": "data/cycle/graph_visual/Base/hard/graph1076.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (9,4) (22,15) (24,21) (7,4) (13,3) (3,5) (0,4) (24,16) (4,19) (0,1) (23,17) (15,0) (18,4) (0,3) (12,8) (7,17) (17,3) (12,4) (4,1) (1,22) (11,1) (23,25) (21,10) (6,24) (0,2) (23,20) (7,14) (1,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1828", - "image": "data/cycle/graph_visual/Base/hard/graph1828.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (8,16) (19,18) (29,10) (10,16) (22,28) (29,31) (23,27) (5,19) (4,17) (17,21) (19,9) (22,32) (1,0) (23,4) (11,27) (5,8) (20,27) (26,29) (12,1) (2,13) (30,17) (27,0) (7,6) (30,19) (26,2) (27,1) (27,33) (1,24) (0,2) (23,15) (13,22) (31,14) (7,17) (3,0) (3,11) (25,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph796", - "image": "data/cycle/graph_visual/Base/hard/graph796.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (17,23) (23,24) (1,7) (15,28) (5,10) (5,30) (32,30) (23,29) (17,21) (9,25) (19,16) (8,28) (26,6) (0,13) (29,1) (22,4) (3,11) (12,19) (18,13) (20,19) (6,7) (32,4) (16,31) (27,4) (13,7) (3,4) (6,27) (24,2) (22,14) (11,8) (18,31) (9,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1317", - "image": "data/cycle/graph_visual/Base/hard/graph1317.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (0,14) (0,2) (4,27) (1,12) (23,4) (10,12) (9,17) (2,10) (22,15) (24,20) (16,9) (12,27) (24,25) (28,23) (18,0) (5,6) (18,11) (12,8) (22,18) (0,26) (4,14) (21,7) (23,19) (21,26) (7,3) (0,1) (5,28) (7,24) (28,13) (8,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1156", - "image": "data/cycle/graph_visual/Base/hard/graph1156.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (17,0) (7,11) (23,13) (7,5) (25,1) (24,8) (22,14) (11,22) (2,0) (21,7) (3,23) (5,16) (12,25) (2,6) (26,7) (3,10) (0,3) (19,4) (0,6) (4,22) (15,1) (1,0) (11,20) (11,8) (12,8) (18,21) (14,10) (9,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph223", - "image": "data/cycle/graph_visual/Base/hard/graph223.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (26,27) (26,23) (24,17) (21,18) (25,3) (20,13) (1,8) (21,23) (8,19) (13,3) (22,18) (15,1) (3,18) (9,11) (24,27) (10,0) (20,12) (27,16) (18,9) (0,6) (24,4) (5,26) (7,26) (1,9) (6,27) (12,2) (14,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph503", - "image": "data/cycle/graph_visual/Base/hard/graph503.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (8,18) (4,1) (12,24) (28,10) (0,11) (4,23) (15,26) (14,3) (26,2) (27,22) (12,8) (20,23) (19,24) (11,28) (15,16) (9,26) (22,17) (26,7) (3,28) (29,22) (29,3) (21,10) (2,24) (16,30) (17,13) (20,17) (0,8) (28,6) (6,5) (25,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1893", - "image": "data/cycle/graph_visual/Base/hard/graph1893.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (4,13) (6,33) (23,4) (26,24) (4,21) (18,16) (30,5) (15,7) (7,20) (33,19) (10,20) (15,30) (12,30) (8,11) (13,18) (18,32) (14,1) (14,28) (0,10) (9,32) (31,3) (20,3) (33,20) (22,19) (29,27) (0,1) (20,17) (27,17) (3,28) (33,11) (17,2) (31,26) (19,25) (7,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph793", - "image": "data/cycle/graph_visual/Base/hard/graph793.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (23,27) (20,27) (26,28) (8,29) (20,7) (24,8) (18,3) (16,22) (9,12) (10,14) (16,5) (31,14) (18,13) (30,27) (11,19) (4,21) (32,7) (23,31) (17,0) (8,16) (17,9) (1,18) (4,13) (11,6) (25,0) (8,11) (16,2) (15,14) (27,28) (5,9) (27,1) (14,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph266", - "image": "data/cycle/graph_visual/Base/hard/graph266.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (26,15) (26,23) (14,20) (14,3) (17,8) (21,14) (0,19) (16,12) (10,9) (19,25) (16,1) (7,11) (7,9) (4,21) (5,18) (10,6) (11,23) (24,26) (9,21) (15,12) (10,0) (17,13) (4,27) (2,26) (24,22) (0,17) (4,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1508", - "image": "data/cycle/graph_visual/Base/hard/graph1508.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (2,1) (14,0) (0,1) (7,4) (12,2) (30,8) (6,16) (11,5) (4,19) (3,7) (25,14) (6,18) (22,12) (28,6) (29,18) (25,7) (12,9) (13,22) (0,2) (26,28) (4,10) (3,0) (6,11) (15,27) (0,20) (15,2) (23,20) (12,14) (15,30) (16,21) (1,17) (12,26) (15,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph895", - "image": "data/cycle/graph_visual/Base/hard/graph895.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (25,4) (17,21) (33,28) (16,5) (31,1) (10,21) (27,31) (8,30) (20,13) (6,19) (24,12) (21,4) (7,15) (15,14) (0,32) (26,21) (14,0) (27,17) (14,20) (2,17) (9,18) (20,22) (9,22) (29,27) (22,23) (27,6) (12,28) (5,11) (30,5) (6,12) (14,21) (4,5) (3,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1084", - "image": "data/cycle/graph_visual/Base/hard/graph1084.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (18,3) (2,18) (1,10) (18,6) (16,4) (25,14) (19,24) (13,0) (17,21) (2,5) (11,25) (21,20) (18,21) (16,15) (22,25) (13,8) (9,17) (16,24) (0,1) (25,1) (25,8) (23,3) (20,10) (17,7) (15,5) (12,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1655", - "image": "data/cycle/graph_visual/Base/hard/graph1655.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (4,0) (12,27) (30,31) (21,26) (9,25) (15,14) (14,17) (12,29) (5,7) (21,20) (14,10) (26,28) (26,11) (23,28) (27,19) (12,22) (4,18) (5,31) (19,17) (2,6) (2,1) (16,22) (18,5) (3,0) (3,22) (14,26) (26,30) (10,24) (27,25) (0,1) (13,1) (22,8) (2,0) (28,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1189", - "image": "data/cycle/graph_visual/Base/hard/graph1189.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (5,16) (1,25) (8,12) (22,11) (0,1) (20,11) (3,23) (24,8) (1,15) (14,10) (21,7) (2,6) (14,22) (0,2) (3,10) (13,23) (4,0) (11,7) (25,12) (4,19) (0,17) (21,18) (8,11) (3,0) (16,9) (6,0) (4,22) (7,5) (0,5) (26,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1078", - "image": "data/cycle/graph_visual/Base/hard/graph1078.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (9,13) (12,11) (19,11) (12,3) (24,12) (5,16) (6,19) (1,2) (22,5) (20,13) (1,0) (0,8) (9,15) (12,18) (0,23) (20,23) (21,0) (16,7) (10,15) (19,16) (14,7) (4,18) (10,17) (1,11) (20,3) (25,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1027", - "image": "data/cycle/graph_visual/Base/hard/graph1027.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (18,13) (2,4) (17,6) (11,18) (7,16) (1,5) (11,0) (0,23) (13,10) (2,0) (0,3) (7,25) (0,1) (20,12) (8,22) (25,4) (16,20) (5,16) (14,9) (9,15) (13,2) (22,16) (24,0) (19,15) (21,5) (25,15) (6,25) (13,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1452", - "image": "data/cycle/graph_visual/Base/hard/graph1452.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (7,27) (24,5) (22,15) (17,28) (10,9) (3,2) (3,0) (29,15) (7,19) (0,24) (22,2) (1,0) (14,28) (13,9) (19,14) (6,8) (26,0) (4,11) (23,4) (18,9) (26,20) (12,16) (23,6) (16,11) (18,25) (12,13) (1,29) (0,28) (2,21) (14,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1145", - "image": "data/cycle/graph_visual/Base/hard/graph1145.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (0,3) (24,11) (13,0) (1,23) (10,4) (25,9) (18,21) (17,20) (15,18) (2,0) (0,4) (13,6) (6,26) (2,24) (25,6) (3,19) (15,10) (3,2) (0,1) (20,10) (21,8) (23,13) (4,3) (0,5) (18,14) (8,16) (21,7) (12,4) (14,13) (22,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1279", - "image": "data/cycle/graph_visual/Base/hard/graph1279.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (17,4) (24,10) (5,12) (11,18) (8,18) (26,0) (26,1) (10,20) (0,4) (12,27) (23,2) (0,1) (25,1) (7,13) (25,2) (20,26) (0,22) (1,6) (18,16) (25,19) (16,14) (17,18) (1,21) (15,4) (9,27) (7,20) (2,3) (17,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1605", - "image": "data/cycle/graph_visual/Base/hard/graph1605.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (25,21) (23,28) (9,2) (16,7) (11,15) (6,13) (12,6) (3,23) (26,11) (4,6) (22,24) (1,12) (21,26) (9,31) (25,14) (11,23) (27,11) (3,13) (22,27) (5,19) (18,9) (12,16) (30,17) (18,29) (24,19) (29,30) (0,1) (0,15) (0,20) (9,12) (27,8) (2,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph539", - "image": "data/cycle/graph_visual/Base/hard/graph539.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (3,5) (24,7) (7,6) (19,18) (18,21) (26,12) (11,22) (15,24) (12,17) (24,14) (29,20) (28,8) (30,9) (4,26) (10,3) (6,10) (1,22) (19,30) (19,2) (0,6) (27,29) (7,23) (14,13) (27,16) (18,11) (17,27) (27,28) (21,25) (17,7) (24,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1604", - "image": "data/cycle/graph_visual/Base/hard/graph1604.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (22,29) (10,21) (2,31) (22,17) (25,18) (6,13) (18,21) (3,11) (9,8) (28,21) (0,5) (1,27) (19,4) (1,0) (9,27) (29,1) (21,23) (4,25) (12,18) (21,11) (18,30) (28,20) (5,11) (13,20) (0,26) (31,20) (22,16) (20,7) (1,14) (31,15) (25,8) (10,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph104", - "image": "data/cycle/graph_visual/Base/hard/graph104.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (9,18) (6,13) (23,25) (7,15) (23,26) (15,17) (16,2) (9,3) (15,0) (24,20) (10,0) (1,19) (8,5) (2,19) (25,21) (13,9) (1,20) (3,0) (14,10) (8,4) (12,2) (22,3) (25,8) (11,8) (4,2) (23,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph328", - "image": "data/cycle/graph_visual/Base/hard/graph328.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (11,20) (24,3) (16,24) (25,23) (14,4) (22,25) (27,21) (1,23) (12,10) (4,9) (18,22) (11,3) (17,0) (26,8) (11,28) (1,17) (4,6) (25,27) (8,13) (23,7) (20,8) (18,24) (18,15) (19,16) (5,24) (10,27) (9,13) (10,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1057", - "image": "data/cycle/graph_visual/Base/hard/graph1057.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (10,24) (25,15) (23,20) (3,25) (12,8) (6,24) (14,1) (15,8) (15,2) (24,9) (24,19) (13,23) (0,8) (0,2) (1,0) (25,13) (21,4) (17,18) (7,2) (15,18) (18,5) (11,10) (0,22) (23,6) (4,16) (11,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph134", - "image": "data/cycle/graph_visual/Base/hard/graph134.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (16,23) (26,17) (26,4) (20,12) (22,8) (5,16) (0,25) (11,0) (22,5) (13,10) (15,9) (25,6) (18,11) (16,21) (19,6) (13,3) (9,14) (13,2) (0,24) (5,1) (25,7) (20,15) (4,2) (13,18) (7,16) (25,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1591", - "image": "data/cycle/graph_visual/Base/hard/graph1591.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (4,2) (13,2) (26,16) (4,25) (16,7) (0,1) (18,13) (0,27) (0,28) (4,0) (15,9) (12,20) (23,5) (0,3) (24,25) (9,14) (22,8) (21,30) (0,11) (13,10) (15,20) (5,16) (24,30) (26,17) (11,29) (25,7) (18,29) (6,19) (16,22) (25,15) (0,2) (1,5) (6,25) (13,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph627", - "image": "data/cycle/graph_visual/Base/hard/graph627.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (18,4) (8,11) (8,21) (0,28) (14,23) (1,26) (24,29) (24,13) (9,1) (25,0) (27,4) (28,23) (16,26) (21,14) (29,14) (22,6) (17,22) (16,17) (19,10) (9,19) (2,4) (20,1) (30,15) (3,11) (20,5) (23,31) (23,7) (22,31) (18,5) (22,15) (14,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph446", - "image": "data/cycle/graph_visual/Base/hard/graph446.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (28,18) (18,14) (20,29) (12,18) (9,13) (25,14) (18,10) (16,20) (21,1) (27,26) (8,15) (2,17) (11,22) (21,20) (0,6) (28,15) (8,11) (26,9) (23,4) (6,15) (1,4) (9,8) (17,23) (3,22) (25,24) (11,2) (2,5) (21,7) (19,28)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1184", - "image": "data/cycle/graph_visual/Base/hard/graph1184.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (12,24) (9,10) (0,1) (12,14) (16,22) (6,7) (10,14) (10,20) (19,0) (3,5) (1,15) (2,22) (25,5) (17,25) (8,10) (25,6) (11,2) (0,16) (11,15) (17,4) (23,11) (0,20) (9,13) (22,18) (10,5) (21,15) (26,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph867", - "image": "data/cycle/graph_visual/Base/hard/graph867.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (33,20) (3,2) (16,22) (17,6) (4,1) (18,7) (23,21) (9,3) (12,31) (30,8) (7,0) (14,16) (2,11) (22,20) (18,28) (0,25) (19,5) (17,8) (29,4) (24,30) (4,26) (19,2) (32,16) (26,10) (17,9) (1,21) (20,11) (26,9) (4,27) (31,13) (19,7) (13,27) (5,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1724", - "image": "data/cycle/graph_visual/Base/hard/graph1724.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (0,21) (21,32) (11,20) (2,7) (12,25) (12,6) (26,16) (12,15) (18,29) (9,31) (19,16) (10,28) (4,0) (19,13) (1,0) (12,31) (7,27) (23,29) (16,0) (15,5) (1,11) (18,22) (12,30) (30,17) (3,0) (10,15) (13,31) (32,23) (2,0) (7,20) (15,11) (31,8) (11,14) (3,28) (21,4) (16,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph598", - "image": "data/cycle/graph_visual/Base/hard/graph598.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (2,30) (7,23) (7,16) (6,0) (9,28) (11,24) (25,0) (5,13) (12,19) (26,2) (15,20) (13,15) (22,11) (15,26) (22,29) (4,2) (7,17) (19,11) (21,4) (22,18) (19,26) (5,14) (8,14) (27,22) (4,1) (9,5) (11,10) (23,15) (6,3) (3,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1015", - "image": "data/cycle/graph_visual/Base/hard/graph1015.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (20,5) (9,2) (3,20) (21,24) (5,17) (14,9) (8,6) (21,20) (14,15) (13,9) (1,0) (23,16) (13,25) (20,2) (8,20) (10,22) (10,21) (18,0) (16,15) (2,0) (16,12) (19,18) (4,7) (17,11) (19,16) (1,5) (7,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph973", - "image": "data/cycle/graph_visual/Base/hard/graph973.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (8,34) (25,34) (31,16) (11,31) (6,7) (6,27) (28,15) (33,32) (4,3) (17,21) (20,19) (24,2) (8,29) (14,22) (13,7) (13,0) (32,18) (22,4) (17,23) (19,16) (3,11) (7,1) (18,13) (9,2) (23,29) (9,26) (34,27) (4,1) (28,6) (23,24) (5,10) (12,19) (30,33) (5,30)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1707", - "image": "data/cycle/graph_visual/Base/hard/graph1707.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (18,30) (28,24) (0,27) (3,5) (26,2) (1,9) (27,28) (7,32) (21,3) (10,7) (9,22) (0,3) (23,10) (15,27) (21,6) (5,11) (15,17) (25,23) (9,7) (0,2) (8,1) (12,30) (16,19) (7,14) (32,13) (4,29) (24,8) (20,28) (21,16) (6,29) (22,31) (12,11) (30,2) (0,1) (0,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1166", - "image": "data/cycle/graph_visual/Base/hard/graph1166.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (11,9) (7,0) (25,4) (17,21) (0,2) (6,9) (13,2) (26,12) (10,25) (14,11) (13,23) (7,12) (16,25) (4,0) (22,18) (8,21) (24,23) (1,16) (17,19) (8,13) (5,9) (10,20) (0,3) (16,8) (20,26) (22,3) (5,24) (22,15) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph938", - "image": "data/cycle/graph_visual/Base/hard/graph938.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (18,4) (17,19) (24,11) (25,6) (33,6) (25,32) (8,1) (14,0) (1,11) (27,16) (13,25) (6,28) (5,16) (13,3) (29,27) (26,23) (19,32) (22,31) (12,34) (7,24) (4,17) (16,20) (27,30) (15,16) (4,29) (0,2) (18,1) (9,12) (21,22) (14,10) (23,0) (2,12) (0,20) (22,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1210", - "image": "data/cycle/graph_visual/Base/hard/graph1210.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (16,7) (23,8) (8,1) (24,27) (22,16) (1,0) (12,15) (11,13) (25,24) (6,16) (11,17) (2,18) (0,2) (16,12) (0,13) (26,0) (5,20) (0,4) (10,15) (4,3) (18,9) (21,9) (19,18) (14,3) (6,14) (0,3) (5,14) (13,8) (2,15) (27,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1897", - "image": "data/cycle/graph_visual/Base/hard/graph1897.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (13,22) (32,11) (32,17) (14,17) (2,7) (30,11) (4,6) (33,31) (8,20) (13,21) (11,5) (26,19) (1,26) (0,1) (24,12) (12,0) (28,8) (18,29) (6,26) (26,20) (29,15) (9,25) (4,15) (23,10) (9,13) (8,10) (28,14) (27,1) (33,0) (12,8) (7,14) (8,16) (25,12) (3,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph669", - "image": "data/cycle/graph_visual/Base/hard/graph669.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (9,18) (28,3) (22,0) (18,6) (1,3) (0,6) (10,4) (19,23) (21,8) (7,8) (26,21) (20,5) (31,6) (31,30) (4,30) (23,25) (21,10) (2,21) (16,13) (1,15) (17,23) (1,23) (11,9) (3,14) (24,0) (16,17) (12,27) (5,10) (20,15) (21,29) (31,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1594", - "image": "data/cycle/graph_visual/Base/hard/graph1594.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (4,24) (8,2) (29,26) (6,18) (19,6) (26,15) (9,25) (30,11) (16,21) (0,25) (16,11) (8,12) (13,4) (20,8) (28,29) (6,16) (10,3) (19,7) (22,16) (19,1) (24,17) (26,0) (2,6) (26,14) (4,11) (27,22) (0,1) (14,24) (1,23) (16,5) (0,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1849", - "image": "data/cycle/graph_visual/Base/hard/graph1849.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (4,0) (30,21) (10,2) (27,24) (30,17) (26,9) (30,15) (0,1) (1,17) (25,28) (2,0) (12,20) (8,28) (0,3) (0,32) (12,30) (23,6) (22,25) (16,14) (24,31) (14,9) (7,30) (25,27) (0,13) (11,4) (33,23) (1,19) (23,8) (29,14) (3,15) (10,4) (16,18) (33,9) (30,24) (2,19) (5,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1467", - "image": "data/cycle/graph_visual/Base/hard/graph1467.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (8,17) (27,16) (16,14) (16,24) (5,13) (2,4) (17,11) (9,25) (1,0) (26,21) (10,22) (13,23) (10,1) (29,16) (6,7) (17,28) (6,18) (3,15) (17,0) (21,3) (9,12) (5,4) (15,20) (3,0) (4,25) (19,22) (24,22) (27,17) (24,6) (2,0) (20,7) (27,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph234", - "image": "data/cycle/graph_visual/Base/hard/graph234.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (27,7) (21,18) (22,24) (20,1) (16,7) (26,19) (11,2) (21,1) (15,1) (5,13) (24,10) (3,10) (25,13) (11,17) (8,25) (16,17) (6,3) (8,4) (14,4) (27,9) (20,17) (2,0) (1,23) (19,9) (16,12) (24,23) (14,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1561", - "image": "data/cycle/graph_visual/Base/hard/graph1561.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (12,1) (28,1) (7,4) (25,22) (4,10) (11,21) (23,17) (0,15) (8,24) (4,0) (0,1) (30,18) (3,19) (6,13) (7,17) (13,16) (1,4) (15,4) (4,24) (2,0) (4,26) (3,17) (30,6) (23,27) (23,14) (1,21) (22,24) (3,0) (21,29) (5,3) (12,9) (14,16) (20,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1785", - "image": "data/cycle/graph_visual/Base/hard/graph1785.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (5,21) (22,13) (31,10) (27,5) (24,0) (11,24) (19,21) (28,2) (30,28) (12,13) (17,26) (24,2) (0,2) (6,16) (31,23) (25,28) (1,8) (19,7) (14,28) (6,9) (3,12) (18,26) (30,8) (32,0) (17,16) (3,31) (24,20) (29,9) (17,23) (21,18) (0,17) (1,0) (14,15) (4,28)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1413", - "image": "data/cycle/graph_visual/Base/hard/graph1413.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (16,22) (3,0) (25,18) (22,2) (5,3) (10,20) (25,12) (0,1) (27,0) (2,11) (9,10) (11,15) (2,0) (0,28) (2,20) (8,29) (9,17) (28,16) (1,15) (5,26) (12,14) (6,7) (10,13) (10,14) (24,11) (6,25) (0,21) (19,22) (5,10) (20,29) (4,17) (15,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1602", - "image": "data/cycle/graph_visual/Base/hard/graph1602.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (3,28) (2,0) (23,25) (0,3) (9,18) (8,7) (26,21) (4,10) (1,3) (5,20) (6,0) (31,27) (29,21) (19,23) (6,18) (14,3) (0,22) (10,5) (10,21) (17,16) (12,27) (16,13) (21,2) (1,0) (30,4) (15,20) (11,9) (23,1) (0,4) (15,1) (24,0) (6,31) (17,23) (31,30) (21,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1843", - "image": "data/cycle/graph_visual/Base/hard/graph1843.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (23,17) (29,24) (1,6) (16,26) (16,21) (28,12) (1,0) (4,30) (8,12) (4,6) (22,11) (27,33) (22,20) (33,13) (2,33) (19,1) (7,29) (20,25) (7,12) (27,6) (6,17) (14,18) (12,31) (3,7) (6,18) (32,5) (0,2) (10,25) (26,32) (1,26) (20,19) (4,24) (9,15) (9,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1442", - "image": "data/cycle/graph_visual/Base/hard/graph1442.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (4,9) (11,4) (1,0) (17,27) (22,6) (22,15) (19,0) (20,14) (6,7) (2,0) (29,20) (28,26) (12,20) (1,7) (17,15) (15,23) (10,29) (18,3) (17,5) (26,21) (17,8) (17,26) (12,15) (2,19) (2,18) (8,24) (29,0) (16,18) (15,13) (19,11) (7,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1361", - "image": "data/cycle/graph_visual/Base/hard/graph1361.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (13,20) (27,20) (1,7) (6,22) (17,24) (6,7) (27,28) (10,19) (8,21) (3,18) (11,15) (14,18) (15,19) (11,4) (9,4) (17,5) (2,19) (8,17) (23,7) (12,15) (0,1) (12,20) (0,26) (15,22) (18,0) (25,26) (15,17) (2,16) (17,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph428", - "image": "data/cycle/graph_visual/Base/hard/graph428.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (18,4) (15,22) (2,3) (6,24) (21,20) (14,20) (6,0) (29,3) (24,14) (12,5) (1,3) (13,22) (9,4) (16,5) (8,23) (6,19) (23,6) (26,5) (7,17) (13,0) (2,7) (7,13) (19,4) (28,6) (26,4) (19,11) (25,4) (17,10) (27,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph497", - "image": "data/cycle/graph_visual/Base/hard/graph497.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (13,3) (18,3) (27,28) (27,3) (18,9) (27,19) (12,27) (14,9) (23,26) (1,15) (18,21) (25,18) (26,10) (21,23) (0,11) (24,4) (20,16) (6,29) (20,24) (5,29) (22,8) (2,12) (1,8) (0,6) (29,26) (15,17) (9,1) (26,7) (13,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1768", - "image": "data/cycle/graph_visual/Base/hard/graph1768.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (10,29) (0,1) (27,28) (3,16) (15,25) (31,30) (32,18) (26,22) (0,17) (27,11) (26,1) (4,14) (26,24) (6,32) (21,7) (16,23) (11,9) (11,3) (1,7) (12,19) (31,27) (12,5) (28,20) (25,1) (18,22) (12,16) (8,30) (0,2) (7,2) (31,4) (17,32) (19,13) (22,29) (5,29)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph225", - "image": "data/cycle/graph_visual/Base/hard/graph225.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (22,24) (0,14) (7,21) (0,25) (27,10) (17,9) (10,23) (5,6) (9,15) (22,13) (26,21) (11,18) (12,27) (18,0) (18,20) (14,4) (12,8) (8,16) (23,17) (1,12) (7,3) (5,12) (23,4) (24,7) (24,19) (2,10) (26,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1427", - "image": "data/cycle/graph_visual/Base/hard/graph1427.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (8,28) (19,5) (10,3) (2,21) (14,28) (5,25) (20,15) (12,7) (1,3) (8,6) (13,15) (6,26) (28,22) (16,10) (23,8) (27,29) (9,14) (17,20) (27,5) (21,24) (24,25) (14,4) (5,0) (10,11) (7,6) (9,15) (15,18) (16,21) (2,0) (3,22) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1683", - "image": "data/cycle/graph_visual/Base/hard/graph1683.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (7,31) (15,27) (13,29) (22,24) (5,8) (11,18) (17,21) (9,11) (7,28) (15,25) (18,1) (26,4) (23,19) (6,3) (21,2) (5,0) (1,3) (10,0) (17,14) (0,1) (25,22) (4,17) (18,13) (31,0) (30,20) (11,31) (12,15) (16,27) (25,10) (23,31) (24,26) (20,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph976", - "image": "data/cycle/graph_visual/Base/hard/graph976.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (7,18) (24,9) (13,26) (23,25) (32,12) (16,2) (7,5) (29,26) (14,20) (9,11) (34,14) (30,0) (34,19) (7,6) (34,13) (5,30) (4,0) (21,33) (27,28) (13,12) (3,2) (7,1) (8,3) (21,31) (8,17) (1,25) (25,21) (28,33) (9,2) (10,25) (15,23) (8,14) (13,15) (8,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1336", - "image": "data/cycle/graph_visual/Base/hard/graph1336.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (19,2) (7,23) (24,15) (11,10) (7,13) (24,21) (25,4) (0,2) (0,15) (11,3) (7,6) (3,26) (12,28) (22,10) (27,26) (27,1) (9,20) (0,1) (8,5) (2,6) (4,11) (16,15) (17,20) (21,17) (28,2) (18,10) (17,2) (8,11) (7,10) (22,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph215", - "image": "data/cycle/graph_visual/Base/hard/graph215.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (21,11) (17,20) (6,14) (22,23) (18,25) (22,26) (3,20) (27,6) (2,4) (22,8) (24,19) (25,24) (27,2) (5,3) (26,13) (19,7) (9,12) (25,16) (15,8) (17,10) (12,0) (6,21) (1,15) (14,13) (20,24) (0,6) (4,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1006", - "image": "data/cycle/graph_visual/Base/hard/graph1006.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (3,0) (22,3) (18,12) (14,8) (24,17) (4,0) (22,5) (9,24) (15,5) (13,16) (1,21) (10,6) (6,20) (13,11) (3,17) (1,0) (2,23) (0,2) (23,14) (16,25) (1,8) (7,14) (21,20) (23,12) (19,11) (14,4) (2,3) (25,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1778", - "image": "data/cycle/graph_visual/Base/hard/graph1778.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (32,11) (16,28) (7,12) (31,18) (0,2) (0,31) (15,22) (8,6) (29,4) (1,0) (25,6) (30,13) (18,19) (19,11) (0,26) (24,23) (2,11) (13,27) (12,10) (20,16) (1,12) (17,18) (5,13) (26,21) (25,14) (18,22) (9,2) (6,3) (28,4) (28,24) (2,30) (19,8) (28,12) (23,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph937", - "image": "data/cycle/graph_visual/Base/hard/graph937.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (11,29) (0,34) (24,13) (20,25) (16,24) (1,25) (20,30) (11,21) (33,32) (0,17) (25,2) (10,15) (18,33) (5,8) (28,12) (5,33) (2,17) (8,14) (24,3) (16,15) (29,9) (13,9) (6,11) (19,34) (27,31) (14,7) (21,5) (31,23) (30,5) (12,4) (12,26) (13,26) (22,5) (23,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1116", - "image": "data/cycle/graph_visual/Base/hard/graph1116.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (15,23) (2,5) (8,20) (26,6) (16,14) (0,2) (19,21) (25,24) (25,11) (25,6) (26,14) (21,4) (14,17) (5,0) (18,1) (22,11) (14,10) (1,0) (5,9) (0,3) (19,26) (23,13) (5,12) (21,3) (14,18) (6,15) (7,6) (0,4) (25,12) (8,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph748", - "image": "data/cycle/graph_visual/Base/hard/graph748.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (8,10) (12,26) (3,5) (3,32) (0,15) (17,14) (0,27) (20,28) (14,29) (8,16) (7,2) (24,2) (25,28) (10,28) (17,1) (11,19) (30,10) (10,4) (22,11) (0,21) (26,31) (24,23) (9,23) (7,26) (30,6) (2,22) (31,17) (2,13) (15,4) (32,24) (30,31) (18,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph115", - "image": "data/cycle/graph_visual/Base/hard/graph115.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (13,20) (8,17) (3,10) (10,25) (0,1) (23,11) (24,8) (5,7) (19,5) (21,23) (25,6) (2,18) (25,15) (22,20) (2,17) (20,16) (0,14) (13,26) (16,0) (18,13) (11,17) (9,2) (12,9) (26,15) (4,1) (7,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1087", - "image": "data/cycle/graph_visual/Base/hard/graph1087.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (16,6) (12,1) (13,3) (3,22) (0,5) (7,9) (25,16) (6,0) (0,2) (1,9) (18,20) (1,8) (23,6) (2,12) (18,3) (21,23) (19,24) (20,10) (21,18) (18,9) (17,13) (15,11) (24,4) (15,8) (25,19) (14,24) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph678", - "image": "data/cycle/graph_visual/Base/hard/graph678.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (21,10) (19,20) (23,2) (5,29) (26,20) (6,5) (0,1) (3,14) (16,30) (5,19) (6,7) (19,16) (18,31) (6,31) (7,11) (15,1) (5,27) (24,17) (29,9) (22,19) (12,2) (31,0) (28,2) (10,24) (13,1) (14,8) (12,5) (4,5) (8,19) (25,23) (21,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1238", - "image": "data/cycle/graph_visual/Base/hard/graph1238.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (11,15) (2,10) (15,3) (2,0) (27,0) (19,24) (4,1) (15,0) (17,14) (26,23) (13,19) (27,5) (3,6) (0,1) (3,8) (24,16) (6,22) (13,12) (25,7) (8,2) (21,25) (14,15) (0,24) (9,24) (18,4) (12,20) (12,25) (0,3) (20,18) (24,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1783", - "image": "data/cycle/graph_visual/Base/hard/graph1783.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (10,1) (7,32) (1,0) (0,4) (22,15) (3,7) (13,6) (1,20) (12,13) (25,11) (20,9) (24,5) (2,14) (5,16) (17,25) (10,3) (1,2) (8,32) (16,21) (23,4) (15,30) (29,28) (0,2) (32,22) (22,21) (10,18) (31,20) (19,26) (27,30) (20,28) (23,20) (0,26) (21,6) (30,0) (0,3) (17,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph897", - "image": "data/cycle/graph_visual/Base/hard/graph897.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (21,28) (30,14) (23,2) (5,33) (7,26) (2,24) (0,28) (5,24) (15,0) (30,9) (7,2) (18,8) (1,17) (8,10) (10,30) (3,32) (15,4) (17,31) (11,20) (27,28) (11,22) (26,13) (26,31) (29,10) (3,6) (31,32) (19,26) (17,14) (22,0) (2,16) (25,24) (23,12) (4,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph161", - "image": "data/cycle/graph_visual/Base/hard/graph161.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (12,20) (9,14) (25,15) (0,11) (13,3) (16,7) (13,10) (6,25) (9,15) (0,25) (11,18) (13,18) (19,6) (1,5) (2,13) (8,22) (7,25) (21,16) (16,5) (26,17) (20,15) (0,24) (16,23) (2,4) (4,26) (5,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1941", - "image": "data/cycle/graph_visual/Base/hard/graph1941.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (29,9) (19,6) (16,25) (32,5) (30,21) (28,30) (32,17) (2,16) (19,11) (1,0) (31,4) (26,34) (22,27) (20,13) (14,22) (20,27) (10,25) (26,1) (30,13) (34,16) (18,24) (7,31) (33,28) (8,23) (3,2) (8,6) (4,21) (24,0) (13,15) (30,12) (6,22) (19,9) (8,18) (33,16) (32,6) (0,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph537", - "image": "data/cycle/graph_visual/Base/hard/graph537.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (15,6) (18,28) (4,1) (15,8) (9,13) (21,20) (16,20) (11,22) (30,29) (4,23) (11,8) (5,2) (18,12) (9,8) (21,1) (28,19) (28,15) (2,11) (22,3) (2,17) (6,0) (18,10) (24,25) (25,14) (17,23) (30,20) (27,26) (7,21) (9,26) (18,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1326", - "image": "data/cycle/graph_visual/Base/hard/graph1326.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (8,6) (3,0) (20,2) (7,26) (1,0) (1,24) (14,28) (11,16) (8,14) (6,23) (19,7) (22,15) (12,13) (26,17) (9,13) (22,2) (24,18) (11,4) (27,0) (28,10) (14,19) (4,23) (9,18) (15,28) (12,16) (0,25) (2,3) (5,9) (0,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph362", - "image": "data/cycle/graph_visual/Base/hard/graph362.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (21,6) (27,7) (4,13) (23,5) (6,22) (20,25) (27,3) (6,27) (11,4) (11,9) (9,17) (28,20) (24,2) (18,1) (15,0) (14,4) (1,13) (2,26) (17,25) (26,1) (8,14) (12,16) (2,10) (6,15) (20,19) (5,9) (15,25) (1,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph356", - "image": "data/cycle/graph_visual/Base/hard/graph356.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (12,14) (20,24) (6,9) (28,4) (14,3) (27,4) (21,11) (23,12) (23,25) (6,18) (27,21) (26,27) (9,26) (19,1) (7,21) (5,9) (21,17) (19,23) (26,2) (14,0) (15,2) (16,2) (15,8) (9,20) (13,2) (2,22) (1,7) (8,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1235", - "image": "data/cycle/graph_visual/Base/hard/graph1235.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (12,20) (3,0) (17,15) (11,14) (8,22) (7,5) (1,0) (16,18) (13,11) (13,10) (2,8) (17,22) (0,5) (19,26) (7,12) (11,21) (11,0) (7,25) (18,0) (1,19) (26,23) (9,27) (3,12) (12,1) (5,16) (24,17) (4,27) (12,24) (2,0) (0,4) (6,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1829", - "image": "data/cycle/graph_visual/Base/hard/graph1829.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (25,28) (21,33) (5,21) (23,32) (0,1) (1,8) (7,19) (17,26) (0,3) (9,6) (33,0) (28,31) (9,30) (6,16) (24,2) (24,20) (14,15) (28,2) (24,0) (19,21) (17,23) (18,29) (11,24) (13,22) (17,0) (27,5) (28,4) (14,28) (3,12) (17,16) (2,0) (31,10) (12,13) (3,31) (30,8) (0,4) (26,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph716", - "image": "data/cycle/graph_visual/Base/hard/graph716.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (21,4) (30,13) (6,19) (8,18) (22,14) (2,3) (23,8) (25,10) (32,16) (30,12) (9,26) (24,0) (20,13) (4,29) (19,11) (5,32) (19,9) (6,8) (6,31) (7,31) (32,17) (1,26) (20,27) (25,16) (28,30) (16,2) (30,21) (24,18) (6,22) (13,15) (22,27) (16,28)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1955", - "image": "data/cycle/graph_visual/Base/hard/graph1955.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (1,22) (25,10) (0,24) (12,30) (0,26) (8,32) (14,18) (17,31) (2,21) (33,12) (2,31) (13,34) (26,7) (0,3) (3,30) (11,32) (34,12) (21,19) (20,2) (6,22) (0,1) (12,16) (10,29) (23,22) (3,9) (32,17) (15,4) (13,8) (11,25) (18,25) (12,27) (4,31) (28,34) (23,0) (5,2) (19,24) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1341", - "image": "data/cycle/graph_visual/Base/hard/graph1341.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (20,18) (13,23) (14,5) (0,9) (0,19) (22,15) (7,8) (6,4) (12,14) (26,2) (1,0) (0,3) (8,1) (7,4) (28,25) (24,11) (10,1) (2,0) (11,25) (5,19) (3,16) (3,23) (22,28) (21,17) (20,28) (2,7) (23,21) (10,19) (27,28) (17,5) (13,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1404", - "image": "data/cycle/graph_visual/Base/hard/graph1404.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (3,0) (8,25) (5,8) (26,20) (28,23) (6,13) (9,18) (4,2) (10,14) (3,9) (25,28) (4,8) (2,12) (23,29) (19,2) (0,10) (1,28) (17,15) (2,16) (11,8) (25,21) (27,19) (20,1) (2,0) (15,0) (9,13) (1,0) (22,3) (7,15) (27,9) (23,24) (4,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1496", - "image": "data/cycle/graph_visual/Base/hard/graph1496.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (8,2) (21,25) (15,0) (9,24) (14,15) (19,13) (6,23) (25,28) (0,22) (20,18) (4,18) (0,1) (4,1) (20,12) (2,10) (28,24) (15,11) (17,14) (27,26) (0,24) (24,19) (6,3) (5,27) (16,24) (3,15) (13,12) (2,0) (3,8) (7,25) (29,22) (26,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1230", - "image": "data/cycle/graph_visual/Base/hard/graph1230.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (3,24) (2,0) (0,27) (19,3) (24,5) (4,24) (8,25) (13,7) (2,12) (20,12) (22,9) (27,17) (14,15) (18,6) (12,25) (11,15) (9,26) (25,19) (4,9) (26,21) (6,16) (11,18) (23,15) (0,1) (16,13) (17,8) (4,16) (10,1) (8,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph666", - "image": "data/cycle/graph_visual/Base/hard/graph666.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (17,28) (26,27) (10,29) (6,1) (30,6) (27,11) (4,16) (23,31) (22,5) (10,2) (4,3) (26,21) (9,12) (18,26) (14,28) (28,12) (25,22) (9,19) (13,29) (9,20) (24,4) (18,9) (0,2) (19,13) (23,16) (6,13) (26,8) (25,4) (6,24) (15,20) (20,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1044", - "image": "data/cycle/graph_visual/Base/hard/graph1044.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (6,15) (20,12) (14,2) (0,1) (9,19) (7,11) (0,12) (19,2) (16,21) (15,24) (1,12) (6,13) (2,17) (2,0) (7,4) (19,25) (8,18) (23,19) (3,6) (12,16) (13,23) (22,21) (5,7) (23,8) (5,10) (22,17) (4,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph995", - "image": "data/cycle/graph_visual/Base/hard/graph995.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (5,32) (24,17) (12,33) (16,13) (17,25) (32,11) (34,29) (2,16) (29,15) (11,22) (15,4) (28,1) (21,20) (30,10) (2,30) (0,3) (14,25) (23,19) (0,30) (19,22) (14,9) (16,31) (23,28) (27,7) (12,1) (23,21) (10,28) (18,33) (34,3) (8,15) (25,0) (24,26) (1,7) (6,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph838", - "image": "data/cycle/graph_visual/Base/hard/graph838.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (18,2) (24,14) (27,6) (10,26) (0,33) (22,29) (29,5) (7,31) (17,7) (32,8) (17,15) (30,27) (16,8) (3,25) (15,21) (25,1) (18,5) (19,33) (1,9) (3,13) (8,19) (20,0) (4,24) (1,23) (31,19) (12,16) (17,6) (4,25) (1,15) (22,4) (25,28) (13,11) (10,33)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph214", - "image": "data/cycle/graph_visual/Base/hard/graph214.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (24,5) (22,24) (8,27) (23,1) (16,17) (7,1) (6,7) (23,14) (20,2) (7,16) (12,0) (4,2) (17,12) (25,24) (2,0) (3,8) (9,10) (26,3) (9,21) (12,18) (17,11) (13,3) (26,5) (4,15) (19,15) (8,11) (9,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph926", - "image": "data/cycle/graph_visual/Base/hard/graph926.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (6,11) (30,5) (6,2) (21,17) (34,27) (26,23) (1,29) (4,11) (7,25) (15,34) (13,18) (5,9) (13,25) (8,27) (25,31) (12,33) (12,26) (12,17) (28,24) (9,22) (29,25) (7,10) (1,28) (14,34) (4,0) (8,18) (32,0) (13,20) (2,16) (30,3) (1,5) (5,12) (14,16) (1,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1190", - "image": "data/cycle/graph_visual/Base/hard/graph1190.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (10,0) (6,16) (26,11) (18,8) (2,0) (23,0) (16,20) (26,0) (21,1) (26,14) (8,2) (3,10) (24,15) (16,5) (6,17) (1,19) (25,9) (26,4) (12,8) (6,19) (16,11) (2,6) (16,22) (19,7) (25,14) (24,22) (1,0) (13,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph679", - "image": "data/cycle/graph_visual/Base/hard/graph679.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (11,15) (16,8) (5,4) (16,17) (30,16) (25,15) (12,4) (30,1) (10,12) (17,2) (31,6) (23,20) (22,0) (24,11) (22,28) (9,6) (27,26) (16,19) (4,13) (9,14) (8,21) (26,3) (31,15) (4,29) (3,28) (23,25) (18,7) (18,21) (14,21) (27,5) (30,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1846", - "image": "data/cycle/graph_visual/Base/hard/graph1846.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (21,30) (27,20) (19,11) (2,3) (22,14) (8,6) (28,30) (7,31) (25,10) (28,33) (5,32) (9,19) (18,8) (17,32) (27,22) (13,15) (2,0) (16,33) (9,26) (32,16) (4,29) (21,4) (0,1) (6,22) (13,30) (23,8) (0,24) (26,1) (2,16) (30,12) (13,20) (18,24) (31,6) (16,25) (19,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1355", - "image": "data/cycle/graph_visual/Base/hard/graph1355.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (3,14) (28,4) (27,23) (19,25) (11,7) (10,26) (16,12) (16,1) (21,4) (7,9) (0,19) (14,20) (26,24) (23,11) (17,13) (1,0) (5,18) (22,24) (8,17) (15,26) (14,21) (4,5) (15,12) (9,10) (6,10) (2,26) (28,0) (21,9) (0,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph994", - "image": "data/cycle/graph_visual/Base/hard/graph994.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (8,31) (4,30) (34,4) (9,23) (15,28) (6,4) (13,2) (6,8) (25,16) (8,29) (4,1) (6,11) (2,1) (19,11) (15,34) (0,12) (1,3) (28,21) (12,27) (11,12) (14,17) (30,22) (19,24) (34,33) (26,34) (34,32) (7,23) (23,17) (1,18) (27,5) (7,20) (15,20) (16,26) (3,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph78", - "image": "data/cycle/graph_visual/Base/hard/graph78.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (1,21) (23,2) (7,14) (9,24) (4,0) (12,18) (17,24) (3,22) (12,23) (5,22) (6,20) (11,13) (8,14) (17,3) (6,10) (14,23) (25,10) (15,5) (21,20) (4,14) (11,19) (1,8) (13,16) (3,2) (16,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph310", - "image": "data/cycle/graph_visual/Base/hard/graph310.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (19,18) (23,21) (25,24) (27,22) (2,22) (24,20) (7,13) (7,18) (8,15) (1,14) (9,16) (15,13) (24,27) (10,14) (23,0) (28,3) (16,19) (10,21) (3,25) (14,17) (3,12) (26,11) (6,26) (4,23) (20,17) (8,23) (11,5) (5,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1874", - "image": "data/cycle/graph_visual/Base/hard/graph1874.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (8,16) (2,20) (12,26) (14,28) (10,27) (14,25) (6,21) (13,23) (1,4) (14,15) (5,18) (1,0) (1,30) (24,33) (14,26) (29,32) (13,9) (11,15) (6,8) (3,7) (9,17) (0,10) (6,5) (1,12) (28,17) (1,2) (5,22) (24,5) (13,21) (7,17) (17,32) (27,21) (27,19) (31,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1760", - "image": "data/cycle/graph_visual/Base/hard/graph1760.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (16,13) (3,0) (11,1) (3,16) (6,24) (17,19) (12,0) (28,22) (29,27) (23,0) (7,1) (4,18) (4,0) (0,1) (1,18) (31,19) (21,23) (0,20) (29,4) (26,27) (2,13) (32,0) (8,12) (4,17) (16,27) (6,30) (22,27) (20,16) (25,10) (0,2) (14,22) (9,14) (25,32) (5,24) (11,15) (25,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1129", - "image": "data/cycle/graph_visual/Base/hard/graph1129.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (6,25) (13,9) (0,1) (20,10) (6,1) (7,23) (5,6) (19,24) (6,16) (19,13) (21,12) (25,22) (0,2) (15,0) (18,9) (15,6) (1,17) (9,11) (4,0) (26,15) (25,14) (0,3) (18,3) (8,23) (18,2) (14,8) (20,14) (12,11) (6,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph276", - "image": "data/cycle/graph_visual/Base/hard/graph276.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (20,24) (1,17) (8,6) (25,17) (14,22) (7,15) (2,10) (12,13) (9,18) (10,25) (5,12) (24,27) (7,10) (11,1) (9,7) (2,23) (0,27) (7,16) (9,19) (4,14) (14,15) (26,21) (3,11) (26,9) (9,6) (0,1) (13,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1819", - "image": "data/cycle/graph_visual/Base/hard/graph1819.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (29,31) (27,28) (9,17) (5,15) (13,20) (31,19) (11,6) (4,0) (13,2) (12,14) (0,1) (20,10) (20,21) (32,23) (3,0) (4,19) (8,13) (12,10) (22,29) (7,24) (4,21) (18,9) (25,10) (1,7) (11,10) (33,1) (5,16) (10,16) (3,24) (28,19) (0,18) (4,33) (28,0) (0,2) (31,26) (2,23) (30,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1924", - "image": "data/cycle/graph_visual/Base/hard/graph1924.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (24,20) (3,1) (14,4) (6,31) (0,2) (23,27) (2,23) (9,24) (26,16) (33,23) (24,8) (11,31) (14,32) (8,29) (1,0) (10,1) (18,13) (33,10) (25,34) (32,33) (25,21) (27,9) (5,32) (17,24) (23,19) (30,32) (27,11) (22,6) (1,18) (7,20) (9,28) (8,16) (27,15) (12,30) (34,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1440", - "image": "data/cycle/graph_visual/Base/hard/graph1440.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (23,2) (9,13) (4,24) (14,0) (19,11) (11,5) (25,18) (18,6) (27,3) (28,21) (26,15) (24,29) (0,19) (20,0) (8,3) (12,11) (11,8) (16,26) (4,26) (7,17) (1,0) (10,9) (0,2) (12,22) (3,10) (16,18) (1,16) (2,13) (7,28) (4,28) (24,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph557", - "image": "data/cycle/graph_visual/Base/hard/graph557.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (7,13) (6,24) (25,21) (30,15) (19,8) (17,19) (24,4) (6,20) (14,28) (21,3) (12,8) (10,14) (20,1) (28,23) (13,15) (13,11) (22,19) (13,18) (2,0) (3,15) (27,9) (5,3) (8,29) (30,16) (5,14) (26,5) (1,9) (3,2) (21,29) (5,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph617", - "image": "data/cycle/graph_visual/Base/hard/graph617.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (21,11) (22,16) (21,10) (25,8) (28,20) (22,29) (1,27) (18,21) (22,17) (21,28) (31,15) (27,9) (5,11) (29,1) (7,20) (19,4) (30,18) (23,21) (31,20) (20,13) (10,24) (4,25) (13,6) (5,0) (31,2) (0,26) (18,25) (11,3) (8,9) (12,18) (14,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph314", - "image": "data/cycle/graph_visual/Base/hard/graph314.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (19,23) (2,15) (1,11) (9,24) (0,28) (6,13) (7,0) (18,8) (19,9) (14,0) (7,20) (26,10) (15,13) (9,25) (16,21) (22,17) (10,21) (13,27) (21,4) (20,22) (9,5) (3,15) (27,26) (8,7) (14,12) (0,9) (4,23) (11,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph584", - "image": "data/cycle/graph_visual/Base/hard/graph584.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (13,18) (13,15) (26,5) (8,12) (17,19) (28,23) (27,9) (21,25) (1,5) (19,8) (7,13) (1,20) (6,24) (2,3) (30,16) (14,5) (28,14) (19,22) (21,3) (15,30) (29,21) (24,4) (9,1) (3,15) (11,13) (8,29) (3,5) (10,14) (0,2) (6,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1165", - "image": "data/cycle/graph_visual/Base/hard/graph1165.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (24,14) (8,20) (17,2) (5,11) (7,6) (20,7) (10,11) (3,11) (0,15) (10,7) (24,26) (15,10) (15,13) (3,0) (25,3) (26,2) (21,22) (17,18) (12,22) (2,0) (2,16) (21,17) (23,4) (2,6) (9,7) (1,8) (4,11) (19,10) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1366", - "image": "data/cycle/graph_visual/Base/hard/graph1366.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (5,9) (20,10) (20,27) (0,3) (27,8) (22,18) (25,10) (6,9) (24,5) (28,27) (26,12) (4,0) (17,21) (0,2) (1,16) (23,13) (26,16) (7,12) (17,19) (11,9) (25,4) (1,0) (24,23) (13,2) (0,7) (0,5) (11,14) (3,22) (21,8) (15,22) (8,13) (25,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph659", - "image": "data/cycle/graph_visual/Base/hard/graph659.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (15,23) (18,30) (24,11) (5,7) (20,3) (31,12) (1,17) (22,18) (26,12) (0,9) (5,4) (24,27) (30,16) (28,16) (0,17) (14,13) (21,11) (19,7) (30,4) (11,25) (2,16) (12,5) (8,15) (20,7) (15,9) (1,31) (13,29) (12,14) (12,10) (12,6) (21,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1665", - "image": "data/cycle/graph_visual/Base/hard/graph1665.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (1,2) (5,24) (0,3) (23,4) (13,12) (16,21) (20,9) (0,1) (20,29) (0,2) (20,22) (6,13) (0,8) (25,17) (22,21) (11,25) (20,23) (0,30) (3,10) (28,31) (1,10) (14,2) (22,15) (19,26) (15,30) (6,21) (30,26) (20,1) (28,7) (28,27) (18,10) (17,8) (5,16) (3,7) (4,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph274", - "image": "data/cycle/graph_visual/Base/hard/graph274.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (19,16) (26,1) (24,3) (23,9) (20,27) (25,6) (25,8) (22,2) (20,6) (10,17) (0,19) (23,18) (6,19) (16,7) (4,17) (18,1) (12,27) (15,0) (14,15) (23,16) (5,17) (20,2) (4,13) (24,8) (4,25) (25,11) (21,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1985", - "image": "data/cycle/graph_visual/Base/hard/graph1985.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (4,31) (27,20) (13,15) (9,19) (24,0) (22,6) (6,32) (22,27) (5,32) (30,12) (13,20) (30,21) (23,8) (1,26) (21,4) (33,28) (1,0) (14,22) (30,13) (2,3) (18,24) (28,30) (8,18) (6,8) (26,34) (16,25) (19,11) (16,2) (29,9) (19,6) (10,25) (16,33) (34,16) (17,32) (31,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1678", - "image": "data/cycle/graph_visual/Base/hard/graph1678.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (29,25) (31,8) (1,29) (14,12) (27,5) (9,5) (9,21) (18,13) (12,5) (1,15) (25,13) (2,0) (19,13) (18,8) (4,0) (16,14) (28,25) (1,5) (17,20) (0,30) (6,2) (0,1) (7,10) (12,24) (26,1) (16,2) (11,4) (12,17) (7,25) (26,22) (23,28) (6,11) (3,30)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1265", - "image": "data/cycle/graph_visual/Base/hard/graph1265.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (9,16) (12,17) (5,4) (26,13) (20,25) (11,16) (7,2) (22,25) (7,0) (5,11) (15,27) (0,1) (10,15) (1,19) (3,8) (1,6) (0,14) (20,0) (14,12) (23,13) (14,11) (5,24) (1,17) (26,1) (13,18) (23,8) (2,27) (4,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph246", - "image": "data/cycle/graph_visual/Base/hard/graph246.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (20,18) (3,22) (4,8) (22,26) (2,26) (2,23) (8,10) (7,15) (20,23) (16,8) (11,26) (24,12) (14,2) (6,9) (8,11) (9,13) (0,20) (7,5) (17,10) (5,12) (15,1) (19,26) (21,17) (15,26) (6,2) (27,18) (7,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1545", - "image": "data/cycle/graph_visual/Base/hard/graph1545.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (26,28) (25,14) (6,28) (17,1) (9,12) (13,22) (20,0) (15,27) (2,12) (29,18) (2,15) (4,10) (18,6) (25,7) (20,23) (0,1) (7,3) (15,24) (12,26) (21,16) (14,12) (12,22) (2,1) (8,30) (14,0) (30,15) (19,4) (16,6) (11,6) (11,5) (7,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph62", - "image": "data/cycle/graph_visual/Base/hard/graph62.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (3,4) (21,18) (11,24) (8,16) (14,18) (23,1) (18,15) (20,17) (15,10) (22,5) (24,2) (6,13) (21,7) (4,12) (23,13) (13,14) (9,25) (0,13) (0,5) (6,25) (21,8) (3,2) (10,20) (4,10) (19,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph48", - "image": "data/cycle/graph_visual/Base/hard/graph48.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (23,11) (18,13) (19,0) (6,7) (20,5) (17,2) (23,18) (2,24) (7,14) (8,7) (16,7) (4,15) (13,1) (9,3) (0,25) (12,8) (21,3) (19,16) (20,3) (0,1) (17,22) (21,23) (4,23) (10,0) (6,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1563", - "image": "data/cycle/graph_visual/Base/hard/graph1563.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (15,10) (11,2) (9,22) (7,20) (14,20) (9,2) (11,6) (2,0) (25,11) (27,18) (0,1) (27,3) (13,17) (29,19) (7,25) (4,17) (10,29) (8,19) (12,13) (27,14) (16,29) (2,5) (16,23) (15,2) (13,30) (19,21) (3,1) (0,28) (26,12) (17,19) (11,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1671", - "image": "data/cycle/graph_visual/Base/hard/graph1671.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (23,14) (3,21) (27,1) (2,0) (21,11) (0,1) (1,28) (22,20) (21,29) (2,29) (27,22) (17,18) (30,6) (4,0) (18,31) (24,11) (24,5) (0,20) (24,14) (12,10) (22,18) (8,4) (4,13) (16,0) (25,19) (30,15) (9,10) (19,13) (0,3) (8,26) (28,14) (11,19) (28,15) (7,1) (9,28)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1533", - "image": "data/cycle/graph_visual/Base/hard/graph1533.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (1,12) (0,1) (8,11) (9,21) (7,13) (27,23) (2,0) (17,20) (6,21) (4,1) (29,14) (30,19) (14,2) (4,22) (30,15) (8,28) (19,6) (14,26) (16,0) (0,3) (5,28) (26,0) (24,11) (16,10) (18,21) (1,20) (23,4) (28,16) (28,23) (20,6) (18,3) (25,24) (9,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph960", - "image": "data/cycle/graph_visual/Base/hard/graph960.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (31,22) (29,25) (10,23) (21,9) (31,34) (13,14) (1,26) (18,5) (14,23) (15,22) (6,22) (8,12) (3,11) (29,20) (32,5) (28,0) (28,4) (27,0) (19,11) (7,34) (30,23) (4,18) (8,21) (17,22) (14,32) (4,2) (33,15) (1,20) (31,23) (1,9) (24,14) (19,24) (17,16) (26,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph190", - "image": "data/cycle/graph_visual/Base/hard/graph190.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (17,0) (8,14) (6,5) (22,15) (20,24) (4,18) (26,0) (23,7) (9,21) (8,23) (12,17) (24,21) (12,15) (3,10) (21,6) (22,6) (7,25) (19,12) (13,1) (20,4) (26,23) (11,23) (2,26) (13,16) (9,3) (20,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1986", - "image": "data/cycle/graph_visual/Base/hard/graph1986.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (24,27) (2,13) (29,1) (5,20) (24,34) (29,28) (32,2) (7,27) (30,14) (32,8) (18,6) (9,12) (4,34) (4,3) (12,30) (26,1) (0,28) (20,6) (1,0) (31,22) (26,17) (12,8) (17,25) (17,16) (22,23) (31,10) (29,10) (5,16) (21,31) (19,9) (1,19) (31,33) (11,29) (22,15) (19,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph138", - "image": "data/cycle/graph_visual/Base/hard/graph138.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (8,4) (25,23) (25,21) (11,8) (4,2) (1,20) (3,22) (9,13) (8,5) (26,23) (16,2) (9,18) (12,2) (14,10) (7,15) (24,20) (9,3) (19,2) (0,10) (23,9) (0,3) (25,8) (13,6) (17,15) (0,15) (19,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1565", - "image": "data/cycle/graph_visual/Base/hard/graph1565.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (29,24) (2,20) (7,8) (7,13) (23,16) (17,8) (1,19) (23,9) (14,21) (7,27) (0,3) (30,11) (8,3) (4,22) (28,30) (16,10) (18,9) (14,9) (6,20) (0,1) (5,24) (15,8) (3,29) (19,23) (12,25) (21,2) (26,12) (22,14) (28,27) (21,27) (12,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1996", - "image": "data/cycle/graph_visual/Base/hard/graph1996.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (21,27) (0,1) (34,3) (23,18) (15,31) (14,1) (19,5) (7,9) (26,29) (17,24) (19,11) (25,34) (6,11) (27,0) (12,27) (13,22) (28,1) (8,5) (19,30) (2,26) (13,2) (19,20) (4,23) (32,29) (10,29) (0,31) (22,27) (33,22) (23,34) (27,1) (17,7) (2,0) (17,4) (17,30) (8,16) (16,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1745", - "image": "data/cycle/graph_visual/Base/hard/graph1745.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (23,14) (27,5) (0,2) (15,24) (9,6) (32,15) (19,11) (8,24) (15,6) (9,25) (4,25) (0,3) (2,23) (18,19) (31,21) (1,0) (13,26) (14,21) (4,1) (31,22) (28,20) (14,19) (3,30) (17,18) (26,24) (5,21) (26,0) (15,16) (29,21) (1,29) (28,19) (3,12) (7,29) (12,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1614", - "image": "data/cycle/graph_visual/Base/hard/graph1614.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (20,23) (28,24) (24,8) (0,1) (28,19) (31,7) (13,7) (3,21) (27,15) (21,6) (16,18) (9,7) (1,8) (0,12) (2,25) (28,27) (16,21) (11,12) (9,22) (29,12) (5,11) (29,4) (9,1) (27,0) (30,2) (7,10) (14,15) (22,30) (10,23) (0,2) (17,30) (3,5) (26,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1615", - "image": "data/cycle/graph_visual/Base/hard/graph1615.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (6,19) (20,13) (5,4) (30,0) (27,26) (5,16) (15,7) (21,14) (22,20) (2,0) (17,2) (12,24) (31,1) (3,0) (9,22) (15,14) (14,20) (25,21) (14,0) (23,22) (30,8) (21,4) (27,17) (27,6) (31,6) (21,10) (1,0) (4,12) (18,9) (29,27) (28,5) (23,3) (21,17) (5,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph413", - "image": "data/cycle/graph_visual/Base/hard/graph413.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (15,27) (6,9) (26,27) (25,12) (18,19) (14,10) (22,7) (26,4) (24,13) (5,3) (7,6) (21,23) (20,11) (7,17) (17,27) (18,21) (12,17) (22,1) (10,3) (21,24) (24,14) (0,6) (19,29) (24,7) (29,16) (19,2) (27,28) (8,28) (11,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1461", - "image": "data/cycle/graph_visual/Base/hard/graph1461.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (27,5) (18,15) (22,28) (10,16) (28,14) (8,23) (9,14) (25,5) (3,10) (5,19) (8,6) (6,7) (21,16) (8,28) (0,2) (2,21) (15,13) (20,17) (12,7) (0,5) (20,15) (10,11) (0,1) (26,6) (3,22) (1,3) (25,24) (24,21) (9,15) (4,14) (27,29)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1310", - "image": "data/cycle/graph_visual/Base/hard/graph1310.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (19,0) (0,4) (2,19) (23,25) (10,8) (22,6) (0,28) (13,10) (0,2) (25,17) (10,5) (5,14) (16,4) (7,27) (14,27) (20,28) (27,21) (3,12) (3,14) (0,1) (11,6) (26,8) (25,16) (16,8) (3,0) (1,27) (15,3) (16,19) (9,18) (9,5) (3,11) (24,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph315", - "image": "data/cycle/graph_visual/Base/hard/graph315.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (0,7) (0,9) (18,8) (13,27) (8,7) (11,1) (10,26) (19,9) (7,20) (2,15) (7,11) (23,4) (4,21) (20,22) (21,10) (17,22) (24,9) (19,23) (13,15) (28,0) (0,14) (9,5) (3,15) (14,12) (25,9) (16,21) (6,13) (26,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph963", - "image": "data/cycle/graph_visual/Base/hard/graph963.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (34,17) (24,11) (2,28) (28,14) (19,7) (32,9) (23,0) (16,17) (9,6) (21,29) (8,1) (25,28) (23,17) (0,24) (12,13) (28,33) (19,21) (31,10) (18,30) (8,30) (26,18) (12,3) (14,15) (20,24) (21,33) (31,3) (28,4) (16,6) (17,26) (27,5) (31,34) (2,24) (13,22) (5,34)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph252", - "image": "data/cycle/graph_visual/Base/hard/graph252.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (15,3) (16,4) (16,8) (11,3) (8,25) (16,24) (27,0) (13,10) (14,23) (5,10) (1,27) (25,17) (12,3) (8,10) (9,18) (20,27) (7,27) (19,0) (6,11) (6,21) (16,19) (9,5) (2,19) (14,3) (5,14) (26,14) (25,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph565", - "image": "data/cycle/graph_visual/Base/hard/graph565.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (16,2) (15,17) (6,13) (0,15) (15,7) (26,23) (9,13) (25,21) (9,18) (0,10) (3,22) (30,3) (27,9) (8,5) (8,25) (8,4) (8,11) (20,27) (2,12) (2,19) (23,28) (1,28) (28,25) (19,29) (14,10) (24,9) (23,30) (3,0) (20,1) (4,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1739", - "image": "data/cycle/graph_visual/Base/hard/graph1739.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (18,2) (6,30) (25,26) (31,5) (23,32) (26,3) (19,30) (4,11) (17,21) (30,9) (14,5) (7,27) (27,15) (25,14) (6,16) (23,4) (20,22) (15,0) (24,0) (12,29) (20,17) (6,8) (24,23) (16,32) (9,1) (21,19) (0,1) (27,29) (10,22) (28,9) (13,23) (10,2) (31,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph405", - "image": "data/cycle/graph_visual/Base/hard/graph405.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (16,2) (2,20) (22,6) (14,11) (20,12) (7,12) (10,17) (3,18) (9,5) (28,7) (9,22) (29,0) (10,16) (26,4) (19,27) (25,13) (21,22) (26,21) (14,4) (6,19) (1,3) (25,12) (21,23) (29,8) (24,10) (13,21) (4,3) (15,14) (8,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph361", - "image": "data/cycle/graph_visual/Base/hard/graph361.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (22,19) (9,3) (7,2) (8,6) (10,23) (28,2) (20,6) (14,12) (13,25) (8,14) (16,4) (9,7) (27,5) (17,21) (14,16) (28,22) (20,24) (28,13) (18,16) (15,19) (0,13) (26,7) (1,9) (11,14) (10,26) (17,14) (27,17) (15,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph806", - "image": "data/cycle/graph_visual/Base/hard/graph806.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (12,9) (10,31) (8,12) (1,19) (29,10) (0,28) (32,31) (7,27) (24,27) (22,31) (29,24) (18,6) (22,15) (6,20) (3,19) (9,19) (1,29) (2,32) (30,14) (28,12) (16,5) (17,25) (11,29) (3,4) (1,26) (22,23) (4,33) (8,30) (13,2) (17,26) (20,5) (31,21) (16,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph90", - "image": "data/cycle/graph_visual/Base/hard/graph90.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (10,24) (9,10) (25,9) (17,18) (8,21) (10,13) (16,9) (21,0) (4,18) (1,2) (16,5) (3,20) (16,11) (8,3) (19,4) (13,22) (25,1) (23,8) (7,3) (14,16) (6,12) (24,3) (6,15) (12,11) (8,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph178", - "image": "data/cycle/graph_visual/Base/hard/graph178.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (15,6) (8,23) (3,18) (5,6) (15,0) (4,6) (6,1) (16,6) (17,1) (18,2) (14,20) (13,9) (11,9) (20,10) (25,14) (25,22) (23,7) (21,12) (6,25) (13,19) (26,15) (14,8) (24,19) (9,18) (0,3) (11,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1798", - "image": "data/cycle/graph_visual/Base/hard/graph1798.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (1,3) (2,1) (31,28) (23,9) (16,20) (14,27) (18,8) (10,2) (1,0) (0,4) (9,17) (2,13) (5,25) (5,20) (25,6) (17,28) (26,29) (4,15) (12,9) (23,24) (3,19) (21,32) (14,21) (30,22) (14,11) (4,29) (25,30) (1,8) (7,27) (4,30) (7,29) (18,21) (9,32)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1658", - "image": "data/cycle/graph_visual/Base/hard/graph1658.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (29,27) (6,7) (10,29) (17,30) (8,5) (0,27) (27,20) (30,19) (19,9) (5,19) (27,11) (29,26) (0,1) (3,11) (31,14) (7,17) (27,1) (19,18) (21,17) (23,15) (2,13) (26,2) (17,4) (2,0) (12,1) (22,28) (22,25) (8,16) (16,10) (0,24) (31,4) (23,1) (13,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph14", - "image": "data/cycle/graph_visual/Base/hard/graph14.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (16,22) (2,11) (16,11) (9,2) (13,0) (25,17) (3,1) (1,0) (19,10) (12,23) (7,25) (14,20) (24,11) (15,10) (11,6) (7,20) (4,17) (12,13) (9,21) (15,2) (17,19) (8,19) (5,2) (18,19) (3,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph784", - "image": "data/cycle/graph_visual/Base/hard/graph784.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (21,16) (11,8) (11,16) (10,7) (7,3) (28,6) (29,26) (22,13) (19,28) (24,3) (17,14) (3,20) (27,23) (19,32) (14,5) (25,19) (12,11) (5,15) (26,12) (17,3) (20,21) (32,9) (4,1) (20,18) (2,15) (1,27) (30,7) (16,1) (11,22) (8,0) (31,9) (11,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph380", - "image": "data/cycle/graph_visual/Base/hard/graph380.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (26,19) (5,2) (28,12) (26,15) (3,21) (27,25) (6,12) (21,14) (5,12) (18,14) (4,21) (8,22) (11,25) (14,20) (13,27) (25,6) (7,8) (2,0) (26,14) (17,23) (15,6) (14,10) (1,18) (19,23) (25,16) (6,7) (9,5) (24,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph869", - "image": "data/cycle/graph_visual/Base/hard/graph869.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (6,1) (6,0) (5,4) (26,14) (25,13) (32,2) (12,21) (33,27) (29,32) (27,4) (30,16) (24,16) (24,11) (23,22) (12,15) (25,0) (21,22) (28,15) (20,27) (16,9) (30,22) (2,17) (32,10) (7,29) (15,14) (18,26) (22,3) (19,1) (31,28) (21,8) (33,15) (20,0) (23,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1126", - "image": "data/cycle/graph_visual/Base/hard/graph1126.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (13,21) (4,18) (14,6) (22,3) (22,19) (23,15) (21,11) (24,2) (11,3) (26,23) (14,0) (24,9) (24,8) (21,14) (16,15) (1,7) (2,0) (23,1) (17,21) (1,0) (15,8) (16,12) (20,26) (2,10) (22,10) (3,0) (8,25) (13,5) (21,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1485", - "image": "data/cycle/graph_visual/Base/hard/graph1485.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (1,4) (11,2) (2,0) (12,19) (13,15) (22,18) (0,6) (7,16) (22,11) (15,23) (14,5) (4,21) (8,14) (10,11) (22,28) (7,23) (11,19) (0,24) (26,15) (26,29) (3,6) (4,2) (5,13) (3,23) (25,22) (19,26) (7,17) (27,9) (1,0) (9,5) (20,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1306", - "image": "data/cycle/graph_visual/Base/hard/graph1306.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (8,7) (13,18) (0,10) (6,28) (19,16) (17,6) (11,23) (20,3) (2,24) (7,16) (1,0) (0,19) (1,13) (3,21) (21,23) (2,0) (22,28) (17,23) (20,5) (27,7) (9,3) (26,2) (17,0) (12,8) (2,6) (25,18) (4,15) (14,7) (4,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph647", - "image": "data/cycle/graph_visual/Base/hard/graph647.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (25,2) (21,5) (26,12) (9,29) (21,11) (31,19) (3,24) (11,28) (6,11) (23,24) (14,7) (16,15) (4,12) (30,5) (18,5) (20,25) (14,8) (5,8) (13,24) (31,0) (20,30) (13,9) (23,27) (26,13) (29,5) (17,0) (16,24) (15,10) (2,17) (12,22) (1,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph683", - "image": "data/cycle/graph_visual/Base/hard/graph683.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (28,26) (0,8) (22,13) (13,31) (17,11) (3,14) (0,13) (16,2) (15,6) (7,16) (10,24) (24,11) (10,3) (15,19) (17,25) (30,18) (9,1) (30,13) (4,8) (26,23) (8,27) (7,23) (6,21) (15,12) (5,22) (24,20) (10,4) (0,15) (29,0) (1,29) (8,28)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1356", - "image": "data/cycle/graph_visual/Base/hard/graph1356.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (27,24) (8,6) (15,20) (11,8) (4,15) (0,4) (7,16) (0,12) (5,26) (10,7) (23,18) (25,1) (1,0) (23,24) (26,3) (9,22) (9,13) (17,12) (0,2) (21,2) (4,2) (8,3) (3,0) (24,5) (1,7) (9,25) (16,17) (14,3) (11,17) (19,12) (28,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph59", - "image": "data/cycle/graph_visual/Base/hard/graph59.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (14,12) (22,13) (21,25) (17,1) (0,20) (16,13) (13,5) (3,8) (7,2) (4,5) (11,14) (17,12) (10,15) (6,1) (18,1) (7,0) (19,4) (1,24) (23,8) (9,16) (25,2) (5,11) (14,0) (20,23) (11,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1970", - "image": "data/cycle/graph_visual/Base/hard/graph1970.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (0,2) (14,34) (29,1) (13,25) (4,0) (34,27) (27,8) (7,25) (11,4) (14,16) (11,6) (7,10) (1,0) (31,25) (5,1) (23,26) (22,9) (12,26) (12,5) (12,17) (8,18) (28,1) (3,0) (3,30) (0,32) (13,18) (29,25) (21,17) (12,33) (5,30) (5,9) (16,2) (20,13) (1,19) (34,15) (24,28) (2,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph370", - "image": "data/cycle/graph_visual/Base/hard/graph370.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (8,26) (3,25) (11,8) (6,2) (13,23) (27,4) (11,22) (12,27) (1,28) (10,14) (5,7) (20,4) (7,28) (0,6) (1,0) (18,25) (24,7) (11,23) (1,15) (3,10) (16,9) (11,7) (5,16) (21,22) (21,19) (8,12) (0,17) (14,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1449", - "image": "data/cycle/graph_visual/Base/hard/graph1449.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (0,1) (0,4) (15,16) (26,16) (14,0) (29,10) (17,25) (24,11) (12,14) (24,25) (27,8) (23,18) (28,25) (19,20) (18,6) (14,9) (13,14) (0,3) (27,22) (27,5) (1,27) (6,5) (9,4) (20,15) (25,19) (14,3) (2,0) (17,7) (28,29) (4,2) (3,5) (17,2) (21,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1457", - "image": "data/cycle/graph_visual/Base/hard/graph1457.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (13,8) (23,13) (14,11) (5,24) (19,17) (2,13) (0,24) (29,3) (16,25) (26,23) (12,7) (27,8) (9,6) (11,9) (26,12) (22,18) (21,17) (5,9) (7,0) (10,25) (8,21) (28,16) (29,27) (25,4) (22,15) (1,0) (22,3) (20,10) (16,1) (27,20) (3,0) (0,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph433", - "image": "data/cycle/graph_visual/Base/hard/graph433.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (26,9) (20,9) (2,17) (14,0) (9,4) (2,14) (29,10) (21,7) (2,24) (11,8) (22,6) (29,5) (6,9) (2,16) (21,27) (12,23) (8,15) (13,21) (15,12) (1,19) (14,3) (7,1) (26,23) (21,18) (27,28) (20,25) (2,26) (27,29) (23,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1187", - "image": "data/cycle/graph_visual/Base/hard/graph1187.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (13,11) (1,8) (9,18) (16,22) (3,0) (0,13) (15,10) (7,16) (0,24) (9,21) (16,6) (0,5) (5,14) (0,4) (26,17) (17,11) (2,15) (24,25) (18,19) (5,20) (15,12) (14,6) (3,4) (0,1) (8,23) (3,14) (18,2) (0,2) (16,12) (13,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph935", - "image": "data/cycle/graph_visual/Base/hard/graph935.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (9,32) (5,4) (7,20) (16,2) (22,18) (24,11) (11,26) (17,0) (0,25) (5,7) (21,11) (17,1) (16,31) (18,30) (6,12) (12,34) (20,3) (32,28) (13,30) (5,12) (14,12) (31,1) (15,9) (34,16) (14,13) (29,24) (30,32) (19,7) (33,4) (10,12) (27,12) (8,15) (21,20) (23,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1771", - "image": "data/cycle/graph_visual/Base/hard/graph1771.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (6,12) (5,27) (29,31) (3,16) (6,4) (16,4) (14,26) (15,2) (20,26) (1,0) (12,24) (13,23) (17,8) (2,12) (5,32) (1,26) (13,31) (10,1) (0,9) (25,5) (15,13) (21,27) (10,11) (21,28) (28,19) (20,9) (6,5) (18,30) (26,22) (25,30) (20,8) (21,20) (7,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1642", - "image": "data/cycle/graph_visual/Base/hard/graph1642.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (17,22) (12,2) (23,25) (11,1) (23,29) (28,24) (11,31) (16,27) (15,14) (2,17) (20,30) (1,0) (13,9) (4,5) (0,5) (23,5) (10,27) (7,19) (20,11) (8,16) (29,15) (26,20) (25,18) (23,19) (10,11) (27,24) (5,3) (13,10) (14,1) (2,1) (0,2) (10,6) (0,4) (21,28) (3,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1515", - "image": "data/cycle/graph_visual/Base/hard/graph1515.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (23,20) (16,0) (17,2) (2,18) (1,0) (26,15) (4,0) (21,9) (8,17) (16,20) (29,8) (17,11) (13,26) (15,30) (10,25) (22,2) (3,0) (7,8) (12,29) (10,3) (11,28) (13,20) (1,4) (0,2) (25,5) (25,19) (24,0) (27,23) (28,9) (5,7) (14,29) (6,30) (18,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph735", - "image": "data/cycle/graph_visual/Base/hard/graph735.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (22,12) (5,23) (17,0) (7,23) (6,17) (20,28) (14,7) (25,32) (24,21) (19,5) (13,22) (0,15) (6,8) (12,30) (29,4) (2,9) (16,31) (18,30) (11,5) (20,27) (16,11) (13,28) (26,27) (18,32) (1,17) (17,26) (19,1) (3,12) (10,20) (9,21) (24,31) (4,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph337", - "image": "data/cycle/graph_visual/Base/hard/graph337.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (21,16) (27,17) (28,21) (5,23) (25,28) (5,24) (3,2) (19,0) (18,10) (13,22) (21,10) (9,17) (26,0) (9,11) (0,14) (25,15) (2,20) (18,23) (9,24) (26,12) (20,19) (12,15) (8,4) (6,14) (15,22) (4,27) (7,1) (0,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph5", - "image": "data/cycle/graph_visual/Base/hard/graph5.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (5,11) (17,22) (10,7) (17,14) (1,2) (16,11) (23,22) (9,23) (8,5) (21,19) (0,25) (3,19) (4,12) (19,15) (20,4) (21,18) (0,20) (13,22) (22,24) (22,10) (19,4) (23,6) (11,9) (2,25) (12,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1620", - "image": "data/cycle/graph_visual/Base/hard/graph1620.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (23,30) (2,11) (2,3) (15,5) (4,28) (14,16) (8,29) (7,18) (17,8) (19,2) (3,0) (21,1) (26,9) (11,20) (12,31) (17,9) (4,0) (7,0) (20,16) (4,26) (13,30) (10,26) (1,4) (5,19) (16,31) (0,2) (18,25) (7,19) (27,4) (17,6) (24,0) (9,3) (22,21) (0,1) (27,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph312", - "image": "data/cycle/graph_visual/Base/hard/graph312.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (21,4) (13,4) (27,17) (7,18) (9,23) (7,20) (15,5) (24,7) (11,25) (20,23) (21,10) (22,27) (1,8) (27,6) (4,5) (28,4) (27,12) (23,6) (0,9) (14,28) (2,17) (21,19) (25,5) (20,16) (8,21) (0,13) (3,9) (26,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1990", - "image": "data/cycle/graph_visual/Base/hard/graph1990.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (9,28) (30,34) (24,17) (23,24) (1,18) (34,13) (12,19) (33,2) (25,16) (16,32) (14,8) (25,31) (29,11) (7,6) (33,21) (11,25) (0,8) (10,7) (4,32) (32,10) (1,8) (1,0) (11,9) (2,0) (23,26) (5,17) (34,3) (20,2) (21,11) (6,12) (27,17) (23,30) (31,15) (22,12) (23,6) (5,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1979", - "image": "data/cycle/graph_visual/Base/hard/graph1979.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (2,3) (10,0) (0,2) (1,29) (11,6) (7,28) (23,11) (0,1) (12,2) (3,4) (28,13) (25,27) (28,6) (11,18) (1,15) (19,9) (28,25) (30,10) (4,31) (34,5) (32,21) (33,12) (16,32) (26,2) (14,34) (29,8) (17,12) (9,5) (29,20) (0,33) (12,28) (22,30) (20,28) (24,19) (33,14) (32,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph846", - "image": "data/cycle/graph_visual/Base/hard/graph846.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (8,22) (31,23) (0,26) (15,28) (2,16) (20,4) (25,28) (8,7) (33,10) (27,10) (19,14) (27,18) (14,25) (16,21) (33,28) (21,17) (12,24) (29,11) (4,29) (9,28) (8,29) (14,32) (18,1) (14,6) (14,23) (30,7) (16,7) (2,26) (18,3) (12,30) (32,5) (23,22) (33,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph220", - "image": "data/cycle/graph_visual/Base/hard/graph220.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (4,16) (10,20) (21,17) (25,22) (21,18) (14,25) (13,0) (23,3) (2,26) (25,26) (26,5) (5,15) (18,12) (7,17) (27,1) (18,2) (11,25) (16,24) (17,9) (6,18) (24,19) (18,3) (15,16) (1,10) (13,8) (25,8) (20,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph528", - "image": "data/cycle/graph_visual/Base/hard/graph528.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (11,21) (16,29) (10,30) (15,11) (28,6) (8,22) (26,7) (22,26) (0,11) (8,2) (13,11) (16,30) (19,1) (27,9) (12,20) (12,3) (30,27) (28,19) (29,25) (30,5) (12,24) (17,4) (24,17) (12,7) (14,13) (0,17) (30,23) (5,7) (1,12) (17,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph144", - "image": "data/cycle/graph_visual/Base/hard/graph144.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (7,26) (8,12) (24,2) (17,20) (18,24) (16,26) (6,26) (21,20) (8,14) (0,11) (6,5) (3,11) (25,15) (19,10) (3,13) (9,17) (0,8) (1,4) (24,12) (15,16) (22,17) (22,3) (2,26) (10,23) (22,10) (4,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1680", - "image": "data/cycle/graph_visual/Base/hard/graph1680.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (11,9) (16,5) (10,25) (12,5) (12,24) (15,1) (28,6) (9,15) (4,20) (27,28) (31,9) (17,3) (22,1) (23,8) (1,0) (13,12) (26,24) (29,20) (2,22) (1,6) (23,19) (8,22) (1,18) (14,16) (29,21) (0,7) (27,20) (3,12) (9,12) (9,30) (16,0) (2,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1252", - "image": "data/cycle/graph_visual/Base/hard/graph1252.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (17,7) (0,7) (24,4) (20,12) (2,13) (0,19) (3,10) (1,16) (4,23) (16,26) (9,10) (26,4) (9,13) (6,18) (16,18) (21,2) (22,18) (11,5) (19,11) (27,24) (24,0) (25,3) (12,11) (1,0) (15,26) (11,8) (3,8) (0,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph671", - "image": "data/cycle/graph_visual/Base/hard/graph671.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (30,5) (3,28) (4,22) (26,15) (22,7) (21,19) (10,23) (29,10) (4,29) (26,4) (13,18) (14,9) (0,31) (19,13) (9,29) (5,1) (16,2) (17,21) (12,9) (14,27) (8,6) (26,30) (20,3) (25,5) (8,21) (11,4) (20,5) (16,21) (0,8) (17,25) (0,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1991", - "image": "data/cycle/graph_visual/Base/hard/graph1991.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (3,0) (9,17) (5,15) (34,32) (20,21) (10,25) (24,3) (33,23) (31,19) (13,20) (9,18) (12,14) (2,0) (19,28) (31,26) (10,12) (28,27) (4,21) (23,2) (20,10) (7,1) (29,31) (6,11) (2,13) (24,7) (16,10) (8,13) (4,34) (0,18) (29,22) (0,28) (0,1) (10,11) (1,33) (5,16) (5,30) (4,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph911", - "image": "data/cycle/graph_visual/Base/hard/graph911.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (7,31) (1,18) (28,30) (29,11) (16,7) (19,14) (26,0) (20,4) (4,29) (34,30) (33,10) (21,17) (27,10) (3,18) (24,12) (33,13) (32,23) (27,18) (2,26) (14,25) (8,29) (14,23) (2,16) (25,28) (22,8) (15,28) (30,12) (16,21) (32,5) (28,9) (8,7) (33,14) (14,6) (23,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1350", - "image": "data/cycle/graph_visual/Base/hard/graph1350.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (3,12) (23,4) (11,26) (15,13) (16,9) (10,14) (20,24) (0,3) (0,4) (7,18) (17,20) (2,0) (27,22) (6,26) (8,23) (16,19) (3,25) (27,24) (1,14) (18,19) (8,15) (17,14) (7,13) (22,2) (21,10) (21,23) (0,23) (24,25) (5,11) (17,5) (28,3) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph416", - "image": "data/cycle/graph_visual/Base/hard/graph416.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (29,15) (16,11) (14,6) (11,23) (29,1) (1,24) (4,27) (7,28) (29,25) (2,19) (22,17) (21,0) (13,15) (10,16) (20,14) (8,28) (6,9) (28,23) (29,22) (23,1) (19,23) (16,18) (27,3) (0,27) (4,8) (26,5) (12,22) (23,14) (11,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1152", - "image": "data/cycle/graph_visual/Base/hard/graph1152.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (4,0) (16,25) (7,23) (0,1) (0,15) (12,11) (2,10) (19,1) (22,5) (5,4) (25,11) (26,19) (0,2) (20,3) (8,11) (21,19) (18,6) (17,3) (12,3) (26,20) (21,24) (1,18) (12,14) (5,18) (3,0) (4,13) (2,11) (3,15) (9,3) (23,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1752", - "image": "data/cycle/graph_visual/Base/hard/graph1752.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (0,5) (3,0) (16,15) (16,6) (30,20) (22,10) (29,11) (27,5) (31,29) (30,19) (26,10) (4,0) (24,7) (31,6) (20,13) (14,18) (0,1) (0,13) (25,29) (28,12) (15,9) (0,2) (8,23) (1,27) (4,2) (8,18) (32,19) (17,11) (4,23) (26,32) (29,13) (4,21) (8,24) (19,3) (28,7) (1,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph194", - "image": "data/cycle/graph_visual/Base/hard/graph194.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (2,5) (16,20) (26,25) (16,22) (3,18) (15,22) (6,2) (17,24) (11,19) (6,4) (9,7) (1,14) (23,13) (26,10) (0,19) (0,12) (9,4) (17,0) (24,25) (7,15) (15,11) (1,23) (21,10) (16,1) (8,22) (10,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1411", - "image": "data/cycle/graph_visual/Base/hard/graph1411.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (23,7) (28,12) (17,2) (16,15) (20,9) (26,28) (17,20) (2,19) (11,10) (21,17) (8,5) (15,0) (24,15) (7,13) (1,0) (11,3) (18,10) (26,3) (29,25) (3,0) (2,0) (4,27) (11,4) (27,1) (24,21) (7,6) (10,22) (14,22) (29,2) (2,6) (7,10) (11,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1133", - "image": "data/cycle/graph_visual/Base/hard/graph1133.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (16,8) (13,23) (11,17) (7,0) (25,5) (0,1) (2,1) (19,12) (18,4) (9,6) (10,21) (3,24) (19,14) (13,10) (14,5) (8,4) (2,18) (15,22) (0,19) (0,3) (21,22) (20,4) (24,6) (7,4) (26,18) (22,9) (11,2) (2,0) (10,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1689", - "image": "data/cycle/graph_visual/Base/hard/graph1689.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (19,11) (15,10) (21,23) (4,8) (18,13) (2,21) (21,0) (12,17) (8,16) (5,17) (14,13) (3,7) (28,27) (6,24) (29,20) (1,29) (18,6) (23,9) (0,1) (22,5) (30,10) (25,10) (8,7) (14,26) (29,28) (15,3) (26,5) (0,11) (24,2) (17,31) (4,24) (10,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1014", - "image": "data/cycle/graph_visual/Base/hard/graph1014.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (1,0) (22,0) (25,13) (14,1) (7,2) (8,12) (20,23) (23,13) (18,15) (17,18) (4,16) (24,9) (0,2) (8,15) (19,24) (4,21) (11,10) (18,5) (3,25) (8,0) (11,21) (23,6) (15,25) (24,10) (24,6) (2,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph74", - "image": "data/cycle/graph_visual/Base/hard/graph74.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (19,21) (18,21) (22,10) (7,10) (8,5) (11,16) (0,20) (9,11) (23,22) (13,22) (24,22) (12,4) (5,11) (25,0) (23,6) (4,19) (9,23) (17,22) (25,2) (3,19) (2,1) (19,15) (14,17) (7,12) (4,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph285", - "image": "data/cycle/graph_visual/Base/hard/graph285.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (12,9) (17,16) (3,21) (2,19) (19,25) (21,14) (13,23) (2,5) (10,26) (20,1) (23,12) (25,16) (21,6) (13,14) (19,26) (24,3) (25,9) (20,11) (18,1) (23,8) (22,16) (19,4) (11,14) (27,14) (7,26) (20,15) (0,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1270", - "image": "data/cycle/graph_visual/Base/hard/graph1270.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (4,7) (9,0) (22,13) (25,2) (16,3) (7,8) (10,26) (18,27) (5,14) (3,23) (0,2) (24,20) (0,1) (1,8) (23,21) (17,5) (15,22) (6,4) (10,19) (13,23) (5,19) (21,17) (19,0) (12,14) (11,20) (25,11) (7,2) (18,1) (22,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph146", - "image": "data/cycle/graph_visual/Base/hard/graph146.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (5,26) (12,10) (9,25) (11,0) (21,2) (22,5) (3,0) (7,6) (26,3) (20,11) (8,19) (22,23) (1,6) (25,18) (12,7) (20,17) (13,0) (11,2) (8,21) (16,0) (14,6) (15,18) (12,23) (4,8) (21,9) (0,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1834", - "image": "data/cycle/graph_visual/Base/hard/graph1834.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (1,15) (9,18) (6,31) (2,0) (9,11) (26,0) (21,8) (14,3) (10,5) (20,5) (21,32) (29,31) (17,23) (3,31) (18,17) (22,23) (33,16) (15,20) (30,33) (8,7) (12,27) (3,1) (1,0) (23,27) (2,21) (19,6) (21,28) (4,10) (13,16) (24,0) (0,6) (1,23) (30,4) (25,32) (21,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph387", - "image": "data/cycle/graph_visual/Base/hard/graph387.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (27,0) (1,22) (12,6) (3,6) (14,21) (18,24) (11,7) (15,12) (4,16) (5,13) (16,25) (2,24) (17,10) (23,5) (20,13) (11,10) (22,0) (8,4) (1,19) (2,8) (27,28) (26,3) (28,21) (10,9) (10,26) (0,25) (8,11) (10,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1875", - "image": "data/cycle/graph_visual/Base/hard/graph1875.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (7,23) (5,18) (33,31) (21,8) (1,9) (2,0) (19,9) (17,16) (21,14) (5,32) (15,32) (20,28) (8,11) (1,0) (12,14) (20,1) (29,23) (10,19) (27,4) (4,18) (31,22) (15,22) (2,4) (26,1) (17,22) (4,0) (26,16) (24,29) (25,0) (14,23) (28,0) (30,14) (6,22) (13,24) (3,11) (31,23) (0,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph596", - "image": "data/cycle/graph_visual/Base/hard/graph596.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (23,18) (2,20) (17,5) (4,14) (29,12) (1,18) (2,26) (1,28) (23,16) (25,6) (11,25) (15,21) (16,7) (19,16) (30,17) (10,17) (0,19) (24,0) (25,4) (27,8) (29,20) (9,23) (27,13) (24,3) (6,20) (15,0) (25,8) (19,6) (4,22) (30,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph191", - "image": "data/cycle/graph_visual/Base/hard/graph191.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (6,24) (4,9) (4,19) (21,10) (1,11) (5,3) (23,22) (24,1) (17,3) (17,7) (17,23) (1,21) (7,4) (0,2) (0,15) (16,22) (8,12) (14,26) (7,15) (12,4) (25,21) (14,23) (1,4) (20,4) (24,18) (13,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph105", - "image": "data/cycle/graph_visual/Base/hard/graph105.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (22,11) (7,13) (20,17) (26,6) (10,14) (25,24) (25,26) (16,9) (20,24) (19,3) (15,8) (1,14) (13,15) (22,2) (18,7) (11,5) (17,5) (17,14) (23,0) (23,8) (4,23) (10,21) (19,21) (12,3) (23,24) (16,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph862", - "image": "data/cycle/graph_visual/Base/hard/graph862.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (20,22) (24,12) (21,14) (1,31) (27,31) (4,25) (21,17) (27,17) (26,21) (3,23) (12,6) (12,28) (5,16) (14,0) (32,0) (4,5) (23,22) (15,14) (30,8) (33,28) (6,27) (9,18) (9,22) (30,5) (20,13) (15,7) (17,2) (6,19) (14,20) (21,4) (5,11) (27,29) (21,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1300", - "image": "data/cycle/graph_visual/Base/hard/graph1300.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (11,15) (28,8) (4,9) (1,13) (18,28) (13,10) (26,6) (4,24) (18,11) (5,24) (4,16) (12,20) (2,12) (3,24) (9,27) (15,17) (28,7) (23,15) (16,14) (12,25) (8,1) (1,0) (27,0) (16,6) (19,25) (3,19) (22,9) (8,25) (0,2) (26,21) (0,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph760", - "image": "data/cycle/graph_visual/Base/hard/graph760.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (30,7) (2,15) (19,32) (27,23) (1,4) (26,12) (11,12) (7,3) (19,28) (0,8) (8,11) (3,24) (11,22) (25,19) (20,18) (13,22) (15,5) (1,16) (9,32) (14,5) (31,9) (6,28) (26,29) (25,11) (27,1) (20,21) (17,3) (10,7) (16,21) (11,16) (17,14) (20,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph942", - "image": "data/cycle/graph_visual/Base/hard/graph942.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (33,0) (15,1) (8,19) (8,34) (25,1) (8,18) (6,27) (34,2) (7,17) (20,5) (31,7) (15,23) (17,6) (14,3) (12,13) (9,18) (19,31) (4,32) (3,25) (4,26) (27,33) (25,4) (11,1) (22,34) (13,16) (17,15) (21,0) (29,5) (16,24) (10,28) (22,30) (24,1) (25,29) (10,33)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph95", - "image": "data/cycle/graph_visual/Base/hard/graph95.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (0,24) (18,21) (1,16) (9,13) (4,23) (15,7) (2,20) (11,19) (18,16) (3,10) (25,24) (8,11) (3,22) (12,11) (24,4) (17,12) (11,5) (0,14) (18,6) (3,8) (0,19) (9,10) (16,4) (7,0) (2,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph311", - "image": "data/cycle/graph_visual/Base/hard/graph311.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (22,17) (7,4) (14,9) (13,28) (10,26) (7,26) (3,20) (15,16) (24,28) (16,19) (21,20) (14,15) (5,1) (8,11) (2,28) (16,27) (28,18) (18,0) (9,21) (25,19) (20,5) (5,23) (16,17) (6,26) (8,15) (21,10) (12,20) (20,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph462", - "image": "data/cycle/graph_visual/Base/hard/graph462.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (7,23) (22,28) (5,9) (17,7) (26,29) (20,15) (21,4) (11,2) (8,14) (13,15) (3,23) (12,19) (6,3) (9,27) (1,4) (24,0) (26,15) (6,0) (14,5) (23,15) (2,4) (19,26) (5,13) (19,11) (11,22) (10,11) (22,18) (16,7) (25,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1646", - "image": "data/cycle/graph_visual/Base/hard/graph1646.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (16,27) (17,24) (25,29) (16,3) (29,1) (13,25) (0,3) (23,22) (21,28) (13,19) (13,3) (27,15) (29,5) (21,14) (1,0) (7,5) (0,9) (2,29) (9,12) (26,13) (19,14) (31,10) (10,24) (22,8) (4,11) (0,2) (11,30) (7,20) (25,6) (29,17) (26,23) (11,9) (12,22) (18,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1841", - "image": "data/cycle/graph_visual/Base/hard/graph1841.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (2,0) (3,0) (2,32) (21,31) (20,6) (22,31) (9,12) (14,30) (3,19) (32,31) (30,8) (9,19) (20,5) (25,17) (33,4) (12,8) (11,29) (4,3) (15,22) (31,10) (1,29) (27,24) (24,29) (12,28) (17,26) (1,26) (18,6) (16,17) (1,19) (29,10) (0,1) (27,7) (0,4) (28,0) (22,23) (5,16) (13,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph907", - "image": "data/cycle/graph_visual/Base/hard/graph907.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (14,16) (31,25) (28,1) (7,10) (13,25) (26,12) (12,33) (29,25) (1,5) (34,15) (8,18) (4,11) (34,14) (4,0) (19,1) (25,7) (17,12) (23,26) (1,29) (16,2) (30,3) (11,6) (5,9) (6,2) (12,5) (34,27) (20,13) (8,27) (28,24) (21,17) (18,13) (32,0) (30,5) (22,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph75", - "image": "data/cycle/graph_visual/Base/hard/graph75.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (3,22) (0,3) (16,14) (13,20) (17,6) (0,8) (21,0) (23,15) (12,19) (13,21) (2,13) (16,12) (17,25) (17,23) (12,18) (24,15) (25,8) (5,2) (8,10) (19,1) (11,10) (1,25) (11,4) (7,14) (18,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1685", - "image": "data/cycle/graph_visual/Base/hard/graph1685.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (15,16) (2,4) (0,3) (31,6) (1,23) (28,12) (23,8) (1,26) (29,13) (0,2) (0,1) (4,23) (24,7) (20,13) (11,17) (19,3) (15,9) (28,29) (8,24) (27,5) (19,30) (27,7) (18,8) (6,16) (18,14) (30,20) (11,29) (25,29) (31,19) (13,0) (10,26) (21,4) (10,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph542", - "image": "data/cycle/graph_visual/Base/hard/graph542.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (28,16) (30,15) (26,14) (6,20) (1,12) (28,5) (4,1) (27,23) (4,23) (1,20) (24,11) (25,24) (28,8) (2,14) (9,21) (6,21) (9,7) (19,30) (16,10) (11,8) (20,17) (28,23) (0,16) (19,6) (13,7) (22,4) (14,29) (26,0) (18,21) (3,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1647", - "image": "data/cycle/graph_visual/Base/hard/graph1647.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (6,24) (8,7) (23,9) (4,8) (10,27) (21,0) (4,24) (29,28) (18,13) (1,0) (15,10) (14,13) (0,11) (23,21) (17,12) (7,3) (2,0) (19,11) (31,17) (21,2) (27,28) (5,26) (29,1) (26,14) (16,8) (10,25) (18,6) (17,5) (29,20) (30,10) (5,22) (15,3) (24,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1065", - "image": "data/cycle/graph_visual/Base/hard/graph1065.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (24,19) (12,7) (12,22) (0,4) (12,3) (9,13) (10,11) (11,20) (0,3) (2,8) (25,4) (24,17) (19,1) (1,0) (17,6) (11,13) (0,5) (17,14) (16,18) (2,0) (23,7) (1,12) (21,17) (0,11) (16,5) (8,22) (18,0) (5,7) (12,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph887", - "image": "data/cycle/graph_visual/Base/hard/graph887.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (9,30) (2,9) (16,33) (23,19) (25,21) (18,32) (3,2) (29,23) (22,16) (15,0) (33,27) (33,31) (0,6) (7,33) (8,30) (21,14) (13,29) (2,31) (2,29) (12,27) (20,9) (2,26) (12,15) (5,0) (20,10) (14,8) (18,1) (17,31) (25,24) (18,6) (28,32) (31,4) (12,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1581", - "image": "data/cycle/graph_visual/Base/hard/graph1581.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (5,14) (4,13) (24,14) (3,22) (20,10) (30,7) (2,0) (13,14) (0,18) (27,3) (11,20) (12,1) (21,10) (25,4) (28,8) (9,5) (23,21) (30,4) (15,16) (5,19) (10,6) (10,29) (2,6) (7,26) (19,28) (16,24) (17,22) (21,13) (12,0) (22,4) (0,1) (27,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph560", - "image": "data/cycle/graph_visual/Base/hard/graph560.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (0,29) (14,11) (19,6) (30,12) (19,27) (12,25) (13,25) (4,26) (10,16) (22,9) (28,7) (12,8) (3,4) (21,26) (8,24) (21,23) (16,2) (14,15) (1,3) (4,14) (20,29) (22,21) (7,12) (3,18) (20,2) (22,6) (5,9) (24,10) (17,10) (13,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1225", - "image": "data/cycle/graph_visual/Base/hard/graph1225.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (10,1) (17,25) (25,27) (22,27) (20,7) (7,1) (1,12) (23,2) (25,13) (27,21) (18,15) (9,3) (4,11) (2,21) (25,20) (13,0) (24,5) (15,14) (9,18) (9,6) (4,5) (26,0) (12,4) (1,0) (8,7) (10,14) (19,25) (16,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1812", - "image": "data/cycle/graph_visual/Base/hard/graph1812.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (4,16) (21,27) (1,10) (31,25) (5,6) (14,26) (5,27) (7,6) (23,13) (26,1) (30,31) (2,15) (20,8) (24,12) (33,5) (15,13) (20,21) (0,2) (30,18) (21,28) (2,12) (10,11) (0,3) (4,0) (33,29) (0,1) (16,3) (20,9) (32,13) (5,25) (26,22) (26,20) (0,9) (6,4) (12,6) (19,28) (17,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph137", - "image": "data/cycle/graph_visual/Base/hard/graph137.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (20,23) (20,7) (5,12) (5,4) (0,9) (9,23) (20,14) (17,2) (15,7) (3,9) (22,5) (17,6) (16,21) (25,11) (13,0) (1,8) (8,21) (21,25) (2,24) (4,26) (13,4) (23,6) (7,19) (18,4) (21,10) (21,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1908", - "image": "data/cycle/graph_visual/Base/hard/graph1908.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (7,2) (0,1) (33,5) (22,23) (9,11) (7,24) (2,0) (13,21) (28,18) (32,4) (31,21) (29,18) (23,25) (10,19) (5,12) (18,34) (27,10) (9,16) (5,18) (22,1) (26,14) (0,31) (10,3) (13,25) (4,3) (6,5) (15,22) (4,30) (0,3) (7,4) (14,30) (13,30) (10,6) (2,20) (11,25) (8,7) (7,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph526", - "image": "data/cycle/graph_visual/Base/hard/graph526.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (27,0) (12,16) (9,13) (9,18) (29,7) (17,9) (18,26) (2,3) (28,20) (2,22) (30,10) (15,30) (15,22) (0,28) (23,6) (11,4) (21,26) (25,0) (19,7) (2,24) (8,6) (28,14) (12,13) (8,14) (24,5) (3,0) (29,1) (23,4) (16,11) (14,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1774", - "image": "data/cycle/graph_visual/Base/hard/graph1774.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (2,0) (12,29) (20,23) (19,27) (30,32) (23,13) (6,14) (31,28) (31,17) (32,4) (3,6) (17,11) (32,10) (32,1) (31,16) (10,6) (27,21) (5,9) (24,4) (11,24) (15,29) (11,23) (27,9) (7,24) (1,0) (8,29) (25,3) (9,6) (2,18) (26,7) (22,25) (8,24) (1,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1506", - "image": "data/cycle/graph_visual/Base/hard/graph1506.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (23,28) (27,19) (25,23) (15,10) (0,24) (13,9) (28,20) (26,18) (3,20) (16,29) (12,22) (6,19) (0,2) (0,27) (5,26) (9,15) (20,13) (8,0) (3,12) (17,10) (29,12) (12,11) (3,0) (14,7) (5,16) (11,19) (28,21) (0,1) (11,1) (0,4) (2,1) (18,4) (7,16) (30,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph776", - "image": "data/cycle/graph_visual/Base/hard/graph776.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (27,30) (16,14) (8,30) (7,22) (27,4) (14,13) (21,4) (7,26) (20,0) (29,14) (11,29) (2,6) (7,19) (14,31) (28,14) (27,18) (12,22) (15,24) (30,23) (9,24) (22,10) (26,8) (1,12) (14,6) (14,32) (32,9) (17,29) (25,28) (24,0) (20,3) (10,0) (12,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph864", - "image": "data/cycle/graph_visual/Base/hard/graph864.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (22,32) (1,24) (23,4) (2,13) (1,27) (27,11) (29,26) (7,17) (17,4) (8,16) (7,6) (10,16) (1,12) (2,26) (17,30) (25,0) (23,15) (27,0) (17,21) (27,23) (27,33) (31,14) (27,20) (19,18) (28,22) (31,29) (5,8) (11,3) (10,29) (13,22) (9,19) (19,30) (5,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph570", - "image": "data/cycle/graph_visual/Base/hard/graph570.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (19,21) (24,25) (25,30) (4,18) (9,16) (6,26) (3,11) (24,29) (0,24) (5,26) (25,2) (1,13) (9,23) (23,15) (17,2) (12,6) (26,18) (10,13) (15,14) (17,21) (11,0) (11,8) (22,24) (27,22) (7,1) (20,1) (1,12) (28,11) (15,29) (20,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1664", - "image": "data/cycle/graph_visual/Base/hard/graph1664.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (3,23) (26,1) (27,15) (8,4) (18,4) (20,16) (19,5) (28,30) (10,14) (24,25) (9,24) (21,19) (6,12) (7,26) (4,13) (11,15) (17,23) (29,6) (3,8) (14,6) (11,28) (3,0) (16,13) (1,0) (22,13) (13,31) (21,1) (11,24) (24,8) (1,9) (0,2) (30,0) (12,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph831", - "image": "data/cycle/graph_visual/Base/hard/graph831.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (20,27) (27,31) (8,16) (26,28) (31,14) (23,32) (16,2) (17,0) (4,21) (16,22) (8,29) (18,3) (6,11) (5,16) (4,13) (14,30) (15,14) (11,8) (18,13) (9,17) (14,10) (27,1) (23,27) (7,22) (27,28) (12,9) (7,20) (1,18) (5,9) (25,0) (8,24) (22,33) (11,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph171", - "image": "data/cycle/graph_visual/Base/hard/graph171.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (17,2) (15,16) (25,19) (26,20) (18,12) (6,13) (22,25) (25,17) (24,5) (1,17) (8,14) (11,16) (3,14) (14,10) (7,24) (4,9) (15,20) (22,20) (3,5) (6,5) (0,14) (2,4) (25,18) (19,23) (14,9) (16,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1352", - "image": "data/cycle/graph_visual/Base/hard/graph1352.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (7,11) (21,28) (11,10) (13,5) (1,0) (21,14) (27,28) (25,16) (3,26) (20,10) (2,8) (0,2) (3,0) (27,0) (18,24) (11,8) (12,6) (10,9) (0,25) (24,2) (0,22) (16,4) (3,6) (26,10) (1,22) (17,10) (13,20) (4,8) (1,19) (23,5) (15,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph515", - "image": "data/cycle/graph_visual/Base/hard/graph515.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (4,29) (1,12) (10,29) (7,3) (26,21) (4,28) (9,19) (7,21) (24,27) (28,15) (18,0) (14,0) (13,18) (5,6) (22,16) (10,2) (23,4) (17,8) (0,26) (8,12) (17,9) (24,7) (12,27) (20,23) (11,12) (25,18) (30,23) (30,14) (5,28) (22,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph552", - "image": "data/cycle/graph_visual/Base/hard/graph552.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (27,9) (23,17) (7,2) (17,14) (26,20) (1,22) (10,26) (14,16) (9,4) (28,17) (6,8) (5,16) (14,12) (24,29) (14,8) (11,7) (0,13) (13,28) (14,18) (15,20) (16,21) (28,2) (19,15) (9,3) (10,25) (19,22) (6,20) (29,7) (13,27) (1,30)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1339", - "image": "data/cycle/graph_visual/Base/hard/graph1339.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (9,5) (25,10) (26,16) (8,13) (27,8) (3,0) (14,11) (23,13) (27,20) (6,9) (21,17) (23,24) (13,2) (12,26) (22,18) (11,9) (19,17) (1,16) (8,21) (25,4) (2,0) (16,25) (0,1) (3,22) (15,22) (24,5) (7,12) (20,10) (0,7) (28,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph984", - "image": "data/cycle/graph_visual/Base/hard/graph984.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (1,31) (24,29) (18,22) (9,15) (11,26) (20,21) (0,25) (5,12) (20,7) (5,4) (5,7) (12,6) (7,19) (20,3) (8,15) (34,12) (12,14) (10,12) (16,34) (17,1) (13,30) (9,32) (31,16) (28,32) (11,24) (18,30) (11,21) (32,30) (17,0) (4,33) (13,14) (27,12) (16,2) (23,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1181", - "image": "data/cycle/graph_visual/Base/hard/graph1181.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (13,6) (15,25) (19,2) (18,26) (12,1) (0,12) (3,6) (0,2) (4,7) (17,22) (7,11) (19,23) (20,8) (21,22) (19,18) (16,12) (12,24) (0,1) (23,8) (4,24) (0,3) (13,23) (9,19) (7,5) (10,5) (15,6) (21,16) (14,2) (17,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1468", - "image": "data/cycle/graph_visual/Base/hard/graph1468.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (20,16) (0,1) (24,27) (26,1) (4,5) (22,17) (2,16) (7,26) (0,4) (29,12) (0,3) (23,22) (0,2) (17,13) (25,12) (29,19) (23,14) (3,17) (27,14) (5,7) (17,26) (12,11) (16,17) (11,21) (8,28) (10,20) (21,18) (0,7) (7,9) (18,10) (12,8) (8,15) (26,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1806", - "image": "data/cycle/graph_visual/Base/hard/graph1806.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (21,27) (6,5) (16,8) (10,0) (17,28) (33,24) (6,21) (23,13) (0,31) (10,27) (1,4) (0,2) (18,5) (13,9) (1,0) (17,9) (14,15) (11,15) (2,1) (25,14) (12,1) (26,14) (2,20) (13,21) (6,8) (30,1) (12,26) (19,27) (22,5) (32,17) (3,7) (7,17) (0,3) (32,29) (24,5) (14,28)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph152", - "image": "data/cycle/graph_visual/Base/hard/graph152.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (24,26) (26,9) (25,10) (4,23) (4,21) (16,22) (13,15) (22,9) (3,15) (11,7) (12,14) (15,2) (23,19) (0,9) (11,1) (8,17) (14,0) (20,18) (21,13) (7,0) (6,13) (8,7) (5,9) (9,19) (20,7) (21,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph774", - "image": "data/cycle/graph_visual/Base/hard/graph774.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (12,1) (2,1) (20,2) (14,24) (26,14) (9,13) (10,0) (12,26) (11,15) (17,9) (13,21) (31,17) (22,5) (5,6) (28,17) (3,7) (5,32) (19,27) (7,17) (6,21) (1,29) (6,8) (8,16) (15,14) (5,18) (27,10) (25,32) (27,21) (1,4) (28,14) (13,23) (0,30)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph559", - "image": "data/cycle/graph_visual/Base/hard/graph559.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (5,4) (1,23) (12,5) (4,8) (11,27) (2,24) (11,7) (23,30) (10,17) (14,30) (16,18) (10,2) (6,19) (0,10) (29,17) (14,28) (5,22) (19,22) (22,30) (13,21) (9,8) (1,26) (15,0) (14,3) (27,12) (29,23) (21,19) (14,16) (20,28) (25,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1484", - "image": "data/cycle/graph_visual/Base/hard/graph1484.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (7,28) (19,11) (15,3) (3,29) (9,1) (2,27) (10,2) (3,0) (18,3) (0,10) (2,7) (17,13) (13,1) (23,2) (6,1) (16,6) (1,26) (20,1) (12,4) (26,12) (0,1) (13,25) (13,24) (16,22) (8,20) (17,14) (2,0) (4,5) (29,21) (26,18) (17,2) (18,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1668", - "image": "data/cycle/graph_visual/Base/hard/graph1668.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (30,20) (23,1) (31,6) (23,8) (1,0) (28,29) (4,0) (8,24) (0,2) (10,26) (27,5) (0,13) (23,4) (13,29) (21,4) (6,16) (20,13) (7,24) (2,4) (18,14) (22,10) (27,7) (28,12) (15,16) (11,17) (9,15) (31,19) (0,3) (3,19) (25,29) (19,30) (1,26) (8,18) (29,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph912", - "image": "data/cycle/graph_visual/Base/hard/graph912.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (16,26) (12,17) (21,5) (34,22) (31,4) (28,16) (12,34) (20,13) (25,12) (19,26) (5,3) (31,15) (23,5) (21,27) (0,9) (30,5) (2,6) (17,1) (23,11) (16,29) (23,26) (6,18) (8,2) (20,34) (27,31) (30,9) (28,6) (32,12) (2,12) (0,10) (16,7) (1,14) (24,6) (33,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1451", - "image": "data/cycle/graph_visual/Base/hard/graph1451.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (22,13) (27,22) (0,1) (23,13) (21,19) (0,23) (10,13) (1,14) (21,26) (29,25) (6,25) (12,17) (7,28) (3,6) (15,24) (13,20) (18,24) (8,21) (15,1) (27,6) (6,9) (4,24) (7,23) (29,2) (5,16) (19,11) (5,20) (16,19) (23,1) (4,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1914", - "image": "data/cycle/graph_visual/Base/hard/graph1914.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (7,21) (3,0) (6,17) (2,0) (23,0) (12,3) (22,12) (4,0) (16,33) (26,17) (7,23) (19,1) (34,18) (19,5) (13,22) (24,5) (0,17) (20,28) (14,34) (12,30) (32,31) (1,0) (18,30) (11,5) (17,1) (26,27) (20,15) (6,9) (20,27) (13,28) (12,4) (34,8) (4,32) (10,21) (29,31) (24,25) (11,16) (9,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph301", - "image": "data/cycle/graph_visual/Base/hard/graph301.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (15,18) (15,11) (19,21) (2,5) (24,13) (17,0) (13,23) (5,8) (9,20) (14,11) (25,28) (25,11) (0,23) (17,1) (4,3) (6,9) (16,21) (19,26) (13,9) (7,13) (8,17) (26,3) (11,13) (0,26) (10,27) (14,27) (8,22) (12,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1790", - "image": "data/cycle/graph_visual/Base/hard/graph1790.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (22,12) (26,12) (20,30) (0,27) (11,21) (14,8) (26,13) (28,23) (23,24) (14,7) (1,25) (5,8) (4,12) (3,24) (29,9) (2,25) (9,13) (15,10) (19,31) (0,1) (5,30) (29,11) (13,24) (32,27) (16,24) (20,25) (17,2) (2,0) (6,11) (18,5) (5,21) (16,15) (5,31) (17,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1061", - "image": "data/cycle/graph_visual/Base/hard/graph1061.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (17,5) (1,0) (9,0) (23,3) (21,23) (24,2) (16,3) (8,7) (11,25) (22,13) (14,5) (7,4) (23,13) (19,0) (2,7) (8,1) (20,11) (10,1) (12,14) (21,17) (22,25) (15,22) (19,5) (19,10) (6,4) (20,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph508", - "image": "data/cycle/graph_visual/Base/hard/graph508.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (17,2) (6,15) (29,14) (24,0) (0,30) (25,4) (28,14) (5,21) (23,20) (18,10) (23,27) (3,0) (6,12) (9,23) (5,13) (22,9) (1,22) (29,25) (4,19) (2,22) (24,18) (8,26) (7,12) (5,11) (24,26) (16,21) (3,20) (5,6) (14,27) (22,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph516", - "image": "data/cycle/graph_visual/Base/hard/graph516.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (27,14) (6,15) (25,29) (22,9) (21,5) (21,16) (26,8) (18,10) (6,5) (24,18) (27,23) (24,0) (6,12) (12,7) (22,1) (20,23) (17,2) (28,14) (0,3) (11,5) (29,14) (2,22) (20,3) (5,13) (26,24) (22,21) (4,19) (25,4) (9,23) (0,30)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1593", - "image": "data/cycle/graph_visual/Base/hard/graph1593.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (17,29) (14,6) (4,20) (2,4) (22,29) (24,26) (15,1) (2,27) (16,8) (23,30) (22,8) (18,25) (25,21) (6,23) (3,5) (19,7) (14,13) (1,0) (17,10) (24,25) (11,29) (20,3) (0,4) (12,21) (22,26) (24,20) (15,0) (12,9) (3,0) (20,19) (0,2) (6,28) (27,13) (6,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1645", - "image": "data/cycle/graph_visual/Base/hard/graph1645.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (19,1) (31,18) (7,23) (17,6) (27,20) (9,2) (4,25) (26,27) (7,14) (0,2) (5,19) (20,28) (1,0) (18,30) (5,23) (15,0) (12,22) (20,10) (29,16) (4,12) (24,21) (30,12) (3,12) (24,31) (26,17) (11,16) (22,13) (13,28) (1,17) (8,6) (3,0) (4,0) (0,17) (11,5) (21,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph245", - "image": "data/cycle/graph_visual/Base/hard/graph245.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (9,6) (2,15) (22,20) (19,1) (20,9) (2,18) (9,4) (6,17) (21,27) (0,14) (9,26) (3,14) (24,23) (15,8) (2,26) (2,14) (10,21) (11,2) (12,13) (21,16) (7,21) (8,5) (19,23) (25,27) (26,27) (7,1) (12,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph722", - "image": "data/cycle/graph_visual/Base/hard/graph722.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (24,10) (28,21) (0,26) (1,14) (8,25) (12,18) (23,21) (31,18) (0,32) (31,2) (21,18) (32,20) (18,25) (20,7) (9,27) (22,29) (4,25) (1,30) (8,9) (19,4) (21,10) (29,5) (11,5) (20,28) (22,17) (16,22) (11,21) (11,3) (13,6) (20,13) (27,1) (31,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph188", - "image": "data/cycle/graph_visual/Base/hard/graph188.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (3,0) (17,15) (7,15) (25,8) (23,25) (10,0) (21,25) (19,1) (9,13) (5,8) (20,1) (14,10) (4,8) (15,0) (23,26) (3,22) (9,23) (16,2) (2,12) (6,13) (4,2) (24,20) (9,3) (2,19) (11,8) (9,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1293", - "image": "data/cycle/graph_visual/Base/hard/graph1293.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (19,18) (4,3) (17,11) (12,15) (13,0) (6,16) (16,7) (15,10) (16,12) (23,8) (0,26) (14,3) (5,14) (15,2) (27,24) (11,13) (2,0) (6,14) (1,0) (1,8) (24,25) (2,18) (17,27) (9,18) (3,0) (16,22) (8,13) (5,20) (9,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph712", - "image": "data/cycle/graph_visual/Base/hard/graph712.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (19,28) (2,27) (23,18) (11,28) (0,29) (20,9) (5,26) (32,7) (21,4) (32,14) (18,22) (23,4) (14,4) (13,2) (13,32) (23,10) (16,24) (28,26) (27,17) (27,24) (9,3) (6,29) (12,6) (8,2) (31,23) (25,23) (5,3) (1,5) (32,0) (0,30) (18,15) (26,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph386", - "image": "data/cycle/graph_visual/Base/hard/graph386.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (7,13) (26,0) (8,5) (11,14) (17,0) (25,28) (11,13) (20,9) (11,25) (4,3) (1,17) (27,14) (2,5) (22,8) (23,13) (3,26) (16,21) (0,12) (10,27) (13,9) (21,19) (24,13) (15,18) (11,15) (19,26) (6,9) (0,23) (17,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1937", - "image": "data/cycle/graph_visual/Base/hard/graph1937.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (32,10) (29,19) (28,0) (19,15) (0,1) (29,5) (28,26) (33,23) (0,30) (0,3) (11,7) (0,33) (2,13) (15,25) (6,7) (12,17) (25,33) (1,4) (31,25) (28,14) (8,26) (2,10) (2,18) (0,2) (24,18) (7,3) (14,34) (17,13) (22,11) (17,21) (6,31) (20,31) (16,27) (9,10) (27,11) (4,26) (9,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph810", - "image": "data/cycle/graph_visual/Base/hard/graph810.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (12,8) (20,26) (17,32) (14,28) (21,13) (0,33) (3,8) (23,10) (26,6) (7,2) (32,11) (26,19) (1,27) (7,14) (8,28) (15,4) (8,10) (25,12) (8,16) (13,22) (9,25) (1,26) (12,0) (29,18) (11,30) (14,17) (11,5) (12,24) (13,9) (29,15) (4,6) (31,33) (20,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph400", - "image": "data/cycle/graph_visual/Base/hard/graph400.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (18,13) (17,9) (0,18) (9,19) (10,29) (3,7) (4,28) (0,26) (27,24) (29,23) (2,10) (21,7) (17,8) (7,24) (5,6) (12,1) (24,22) (0,14) (28,15) (12,27) (28,5) (20,23) (4,23) (21,26) (22,16) (8,12) (11,12) (18,25) (4,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1431", - "image": "data/cycle/graph_visual/Base/hard/graph1431.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (21,28) (21,8) (22,3) (28,12) (0,5) (0,3) (0,13) (23,6) (15,10) (28,1) (20,27) (28,13) (27,23) (4,16) (14,28) (13,2) (24,11) (18,15) (9,25) (28,26) (8,17) (7,21) (5,27) (0,2) (10,4) (24,10) (1,0) (3,4) (18,29) (20,19) (2,3) (18,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph173", - "image": "data/cycle/graph_visual/Base/hard/graph173.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (4,14) (4,7) (26,12) (19,11) (25,18) (21,9) (18,11) (19,15) (13,12) (22,10) (16,13) (15,22) (21,3) (22,5) (20,25) (14,19) (24,17) (1,2) (17,19) (1,9) (6,24) (13,24) (3,14) (23,0) (8,11) (16,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph122", - "image": "data/cycle/graph_visual/Base/hard/graph122.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (25,3) (11,12) (22,13) (11,16) (19,4) (8,26) (10,9) (14,16) (1,25) (24,10) (8,19) (9,26) (21,8) (16,9) (18,17) (6,12) (1,2) (6,15) (16,5) (4,18) (0,21) (8,23) (24,3) (7,3) (13,10) (3,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph29", - "image": "data/cycle/graph_visual/Base/hard/graph29.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (4,23) (15,19) (2,11) (1,6) (2,7) (16,22) (5,14) (12,20) (9,5) (15,17) (23,11) (18,21) (8,23) (3,4) (25,24) (12,16) (0,2) (13,23) (17,13) (21,12) (9,2) (17,24) (9,6) (10,12) (23,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1662", - "image": "data/cycle/graph_visual/Base/hard/graph1662.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (2,19) (9,12) (26,22) (8,12) (19,4) (26,19) (5,30) (0,3) (28,7) (21,31) (26,21) (0,26) (8,3) (9,30) (13,27) (1,15) (1,18) (8,24) (0,2) (7,4) (7,17) (18,10) (11,17) (16,20) (29,5) (20,25) (6,23) (4,0) (21,13) (11,14) (24,15) (16,23) (0,1) (26,9) (3,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1857", - "image": "data/cycle/graph_visual/Base/hard/graph1857.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (19,1) (10,29) (9,19) (29,1) (25,17) (0,1) (13,2) (31,10) (8,30) (33,4) (6,20) (29,24) (22,15) (29,11) (4,3) (24,27) (22,31) (14,30) (16,5) (17,16) (26,1) (19,3) (31,32) (17,26) (12,9) (20,5) (0,2) (22,23) (2,32) (6,18) (27,7) (28,0) (28,12) (8,12) (21,31)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1474", - "image": "data/cycle/graph_visual/Base/hard/graph1474.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (3,19) (28,12) (9,11) (0,22) (25,22) (1,0) (0,20) (20,4) (2,1) (11,17) (17,15) (24,22) (26,22) (21,23) (5,11) (19,4) (23,9) (14,29) (10,7) (21,19) (23,6) (0,3) (12,4) (14,7) (8,5) (22,13) (10,27) (25,2) (16,19) (0,2) (7,25) (18,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1780", - "image": "data/cycle/graph_visual/Base/hard/graph1780.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (12,2) (5,11) (7,23) (0,11) (20,26) (29,21) (21,16) (1,0) (27,20) (1,25) (28,15) (0,2) (3,9) (24,8) (15,9) (28,12) (25,11) (28,30) (3,21) (0,13) (17,29) (8,18) (27,8) (4,21) (10,19) (29,7) (22,14) (7,10) (0,32) (11,14) (12,14) (6,0) (26,31) (19,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph371", - "image": "data/cycle/graph_visual/Base/hard/graph371.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (4,19) (7,9) (28,8) (13,7) (5,28) (4,23) (20,1) (23,24) (21,17) (22,11) (12,1) (16,28) (15,20) (14,25) (21,24) (2,14) (6,28) (14,26) (0,26) (1,4) (18,6) (27,23) (20,6) (16,10) (11,8) (18,3) (9,21) (0,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph275", - "image": "data/cycle/graph_visual/Base/hard/graph275.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (16,9) (26,24) (7,18) (7,13) (19,3) (20,24) (22,2) (23,0) (24,25) (14,17) (5,11) (17,5) (27,25) (22,21) (23,4) (17,20) (23,11) (14,10) (23,8) (10,21) (12,3) (15,8) (18,16) (6,26) (13,15) (19,27) (1,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1476", - "image": "data/cycle/graph_visual/Base/hard/graph1476.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (29,9) (6,29) (0,1) (8,23) (13,28) (0,26) (17,12) (26,2) (7,3) (28,22) (29,26) (6,21) (25,20) (20,12) (8,16) (22,15) (4,23) (21,10) (17,0) (18,13) (1,19) (23,11) (21,24) (20,1) (28,4) (24,27) (2,0) (5,6) (15,12) (9,3) (14,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph586", - "image": "data/cycle/graph_visual/Base/hard/graph586.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (6,28) (19,4) (18,6) (29,18) (20,23) (16,6) (0,14) (10,4) (7,3) (17,1) (14,25) (4,7) (15,24) (14,12) (25,7) (12,2) (11,5) (2,15) (28,26) (27,15) (22,13) (9,12) (15,30) (11,6) (2,1) (26,12) (12,22) (16,21) (8,30) (20,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1623", - "image": "data/cycle/graph_visual/Base/hard/graph1623.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (0,10) (25,5) (3,5) (12,18) (2,0) (23,5) (17,1) (22,12) (9,30) (24,16) (15,31) (20,6) (16,26) (1,14) (21,27) (18,6) (2,6) (16,7) (3,0) (31,4) (16,28) (11,23) (20,13) (0,4) (0,1) (23,26) (29,27) (0,9) (26,19) (12,17) (2,8) (30,12) (31,2) (6,28) (21,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph431", - "image": "data/cycle/graph_visual/Base/hard/graph431.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (11,7) (7,17) (16,9) (2,6) (7,29) (0,6) (3,26) (28,12) (28,1) (27,4) (11,24) (11,22) (25,7) (8,12) (8,11) (21,4) (10,14) (20,21) (1,15) (8,27) (25,19) (13,23) (22,14) (22,23) (0,18) (16,5) (10,3) (0,1) (5,29)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1599", - "image": "data/cycle/graph_visual/Base/hard/graph1599.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (9,6) (13,23) (29,3) (10,25) (14,30) (20,10) (7,12) (26,12) (25,4) (17,21) (25,16) (18,22) (13,8) (19,22) (30,27) (11,9) (2,0) (28,0) (7,0) (0,3) (3,24) (27,20) (11,15) (8,21) (5,24) (1,0) (16,29) (17,22) (5,9) (26,23) (16,1) (13,2) (8,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1437", - "image": "data/cycle/graph_visual/Base/hard/graph1437.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (26,28) (26,12) (23,15) (0,2) (22,20) (29,15) (0,14) (6,16) (10,6) (3,7) (11,22) (9,4) (14,24) (7,25) (2,12) (25,15) (1,13) (15,2) (11,5) (0,1) (3,0) (18,27) (18,6) (0,20) (14,12) (1,2) (12,21) (16,19) (0,4) (8,12) (17,4) (6,28) (4,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1088", - "image": "data/cycle/graph_visual/Base/hard/graph1088.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (7,16) (20,4) (4,2) (23,22) (5,14) (11,10) (7,17) (15,21) (4,1) (0,1) (19,15) (13,5) (18,22) (3,6) (0,6) (2,0) (2,11) (22,25) (8,14) (24,9) (4,0) (19,12) (15,13) (0,3) (23,7) (15,22) (0,11) (5,9) (23,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph472", - "image": "data/cycle/graph_visual/Base/hard/graph472.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (4,19) (23,6) (17,11) (24,22) (12,4) (2,25) (7,25) (19,21) (7,14) (22,0) (17,15) (22,25) (1,2) (11,9) (18,22) (14,29) (26,22) (13,22) (12,28) (5,8) (23,21) (20,0) (11,5) (4,20) (19,16) (7,10) (3,19) (10,27) (9,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1836", - "image": "data/cycle/graph_visual/Base/hard/graph1836.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (13,28) (23,14) (17,33) (32,25) (32,21) (20,0) (29,27) (1,13) (8,3) (31,10) (16,10) (31,30) (12,27) (21,18) (17,15) (4,8) (7,32) (13,14) (9,26) (10,8) (18,3) (4,27) (2,8) (12,11) (31,22) (21,6) (1,4) (9,19) (20,6) (15,6) (32,24) (1,0) (9,30) (19,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph66", - "image": "data/cycle/graph_visual/Base/hard/graph66.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (10,21) (8,12) (21,1) (21,24) (4,9) (24,16) (15,0) (3,13) (22,1) (17,7) (2,0) (23,20) (25,23) (6,24) (15,22) (19,4) (4,1) (17,3) (12,4) (18,4) (14,7) (7,4) (17,23) (11,1) (5,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph602", - "image": "data/cycle/graph_visual/Base/hard/graph602.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (2,10) (8,23) (15,31) (22,28) (20,17) (29,16) (12,17) (19,23) (29,8) (15,29) (0,13) (14,31) (31,9) (11,30) (24,22) (6,0) (23,21) (16,18) (15,4) (7,29) (26,24) (2,1) (26,2) (3,27) (13,10) (19,11) (30,5) (8,27) (2,25) (26,18) (20,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1573", - "image": "data/cycle/graph_visual/Base/hard/graph1573.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (27,28) (17,14) (2,19) (4,14) (28,12) (24,12) (26,29) (5,17) (14,7) (0,3) (28,6) (29,23) (19,14) (2,0) (15,16) (13,30) (15,25) (6,23) (9,8) (0,29) (10,18) (9,15) (6,1) (0,1) (11,28) (20,12) (2,30) (25,17) (22,10) (3,4) (1,15) (21,7) (18,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1172", - "image": "data/cycle/graph_visual/Base/hard/graph1172.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (23,8) (1,0) (5,11) (13,7) (11,22) (3,12) (13,15) (26,6) (24,25) (19,3) (2,22) (5,17) (25,26) (14,10) (1,14) (2,0) (9,16) (17,20) (8,15) (21,19) (23,4) (17,14) (20,24) (7,18) (24,23) (21,10) (16,18) (0,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph625", - "image": "data/cycle/graph_visual/Base/hard/graph625.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (4,23) (5,3) (27,17) (10,23) (26,5) (31,20) (28,11) (26,13) (7,5) (3,9) (26,4) (21,9) (0,23) (28,19) (6,12) (23,18) (4,22) (0,30) (1,20) (16,24) (24,18) (15,18) (27,25) (14,4) (8,2) (28,2) (23,27) (2,13) (14,1) (0,29) (6,29)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph278", - "image": "data/cycle/graph_visual/Base/hard/graph278.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (17,3) (26,19) (3,20) (13,2) (14,4) (11,12) (2,11) (6,15) (25,22) (7,18) (27,0) (1,19) (26,11) (5,4) (23,8) (12,3) (3,10) (19,21) (12,15) (17,24) (16,3) (1,18) (25,21) (9,11) (27,20) (5,18) (23,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph43", - "image": "data/cycle/graph_visual/Base/hard/graph43.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (3,12) (18,22) (6,12) (5,11) (1,22) (8,5) (17,4) (21,5) (23,9) (0,22) (5,6) (19,9) (13,21) (25,20) (23,20) (16,24) (15,2) (23,14) (4,25) (10,6) (22,2) (18,7) (14,0) (14,24) (21,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph790", - "image": "data/cycle/graph_visual/Base/hard/graph790.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (32,29) (17,28) (14,28) (20,9) (9,12) (23,16) (24,6) (26,8) (26,18) (5,22) (31,6) (4,3) (20,15) (4,25) (18,9) (26,27) (4,24) (19,13) (20,7) (21,26) (22,25) (29,10) (23,32) (2,0) (4,16) (10,2) (30,13) (6,13) (27,11) (6,1) (9,19) (28,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph727", - "image": "data/cycle/graph_visual/Base/hard/graph727.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (9,1) (19,9) (14,16) (0,26) (22,29) (10,8) (18,7) (29,9) (2,15) (32,30) (18,14) (21,23) (17,32) (26,10) (14,1) (20,30) (31,3) (3,6) (11,9) (6,19) (15,18) (0,28) (12,9) (25,5) (4,19) (17,15) (21,2) (24,2) (13,16) (24,27) (19,8) (11,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1821", - "image": "data/cycle/graph_visual/Base/hard/graph1821.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (0,4) (25,16) (17,26) (2,0) (25,29) (17,24) (21,11) (27,9) (11,9) (17,5) (7,10) (0,5) (21,31) (32,16) (10,32) (19,33) (1,0) (15,12) (8,1) (11,28) (0,3) (3,32) (30,19) (23,22) (25,11) (12,6) (4,8) (23,30) (33,2) (14,1) (18,2) (24,23) (12,20) (8,0) (13,31) (6,7) (6,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph587", - "image": "data/cycle/graph_visual/Base/hard/graph587.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (19,4) (18,12) (29,7) (11,14) (12,0) (21,9) (4,16) (0,17) (8,20) (25,14) (28,30) (8,15) (26,22) (5,11) (14,4) (15,24) (17,7) (11,13) (2,8) (23,11) (28,10) (20,25) (21,3) (0,21) (22,27) (10,5) (1,15) (27,19) (19,21) (16,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1950", - "image": "data/cycle/graph_visual/Base/hard/graph1950.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (4,12) (7,19) (27,32) (21,32) (1,5) (17,34) (3,33) (12,27) (16,28) (25,22) (30,32) (12,34) (24,14) (5,8) (22,13) (32,5) (29,0) (10,19) (26,2) (24,3) (16,2) (30,15) (9,6) (11,5) (2,14) (20,23) (9,11) (5,14) (29,14) (24,18) (19,24) (0,1) (27,20) (31,0) (25,34)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph850", - "image": "data/cycle/graph_visual/Base/hard/graph850.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (6,2) (14,16) (13,19) (22,33) (12,5) (1,29) (16,2) (0,4) (6,11) (7,25) (17,12) (9,21) (10,7) (18,8) (25,13) (12,26) (5,30) (28,24) (27,22) (8,27) (15,1) (28,1) (14,12) (30,3) (26,23) (13,18) (20,17) (25,29) (1,5) (0,32) (25,31) (4,11) (5,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1888", - "image": "data/cycle/graph_visual/Base/hard/graph1888.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (14,9) (3,33) (20,21) (2,30) (25,17) (14,25) (24,26) (15,8) (30,10) (12,1) (23,21) (2,0) (27,7) (3,0) (22,19) (15,29) (16,2) (28,1) (0,5) (0,1) (1,7) (32,12) (10,28) (11,22) (18,33) (25,0) (29,16) (13,16) (6,10) (32,5) (0,30) (0,4) (23,28) (4,15) (31,11) (19,23) (17,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1034", - "image": "data/cycle/graph_visual/Base/hard/graph1034.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (20,10) (8,21) (16,25) (13,23) (22,18) (14,11) (5,9) (19,17) (11,9) (16,8) (0,1) (20,25) (2,13) (7,0) (24,5) (22,15) (21,17) (3,0) (9,6) (8,13) (1,16) (4,25) (12,23) (7,12) (22,3) (24,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph521", - "image": "data/cycle/graph_visual/Base/hard/graph521.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (19,26) (27,0) (9,6) (14,30) (4,3) (26,3) (30,8) (22,19) (28,29) (5,2) (27,10) (17,0) (0,23) (13,11) (24,8) (17,25) (30,20) (12,0) (18,15) (21,9) (30,11) (26,13) (15,11) (13,7) (9,13) (14,29) (17,1) (8,5) (21,16) (13,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph645", - "image": "data/cycle/graph_visual/Base/hard/graph645.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (6,17) (0,7) (1,21) (16,31) (2,19) (4,28) (20,11) (25,18) (19,7) (16,20) (29,8) (27,13) (5,15) (1,4) (0,24) (5,19) (26,4) (10,26) (2,11) (2,3) (12,31) (3,9) (8,17) (9,17) (16,14) (4,27) (23,30) (30,13) (7,18) (26,9) (21,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph442", - "image": "data/cycle/graph_visual/Base/hard/graph442.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (23,21) (3,23) (8,1) (20,22) (4,9) (14,5) (23,29) (4,7) (7,8) (28,13) (21,17) (6,29) (13,29) (11,24) (29,5) (19,0) (26,2) (3,18) (22,16) (15,14) (10,19) (0,12) (7,2) (1,10) (25,28) (19,5) (17,27) (20,28) (11,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1315", - "image": "data/cycle/graph_visual/Base/hard/graph1315.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (27,12) (15,5) (21,19) (23,9) (8,1) (18,7) (16,20) (17,27) (7,20) (27,22) (21,4) (11,25) (17,2) (21,10) (4,28) (1,0) (14,28) (9,3) (20,23) (25,5) (13,0) (24,7) (4,13) (0,9) (6,27) (2,26) (4,5) (21,8) (23,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph219", - "image": "data/cycle/graph_visual/Base/hard/graph219.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (22,18) (21,10) (14,23) (4,22) (1,11) (7,15) (17,23) (3,5) (1,4) (24,6) (12,8) (0,15) (23,24) (1,21) (4,20) (9,4) (17,7) (17,3) (3,13) (14,16) (16,27) (4,12) (21,26) (4,7) (25,1) (24,19) (0,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph835", - "image": "data/cycle/graph_visual/Base/hard/graph835.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (1,18) (15,28) (25,14) (4,29) (24,12) (14,23) (22,23) (6,14) (5,32) (8,29) (7,16) (4,20) (3,18) (28,33) (18,27) (2,16) (25,28) (8,22) (7,30) (9,28) (12,30) (11,29) (17,21) (33,10) (32,14) (14,19) (33,13) (26,0) (2,26) (16,21) (23,31) (10,27) (8,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph258", - "image": "data/cycle/graph_visual/Base/hard/graph258.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (18,19) (26,4) (18,21) (14,27) (17,26) (8,6) (17,12) (1,22) (24,10) (3,10) (17,7) (6,7) (22,12) (24,21) (20,21) (13,24) (11,18) (11,15) (19,2) (7,16) (24,7) (9,14) (5,3) (27,25) (6,0) (27,23) (27,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1248", - "image": "data/cycle/graph_visual/Base/hard/graph1248.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (3,10) (25,1) (22,14) (7,5) (16,9) (7,23) (14,10) (12,26) (2,0) (18,21) (0,17) (3,24) (5,16) (8,25) (20,22) (11,22) (23,13) (7,11) (27,7) (0,6) (4,19) (11,8) (15,1) (6,2) (0,1) (11,21) (8,12) (4,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph204", - "image": "data/cycle/graph_visual/Base/hard/graph204.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (3,17) (11,12) (0,27) (19,1) (13,2) (3,16) (14,4) (22,25) (12,3) (23,8) (11,2) (11,9) (4,5) (23,5) (19,21) (10,3) (3,20) (15,6) (26,11) (27,20) (5,18) (21,25) (26,19) (18,1) (12,15) (7,18) (17,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1222", - "image": "data/cycle/graph_visual/Base/hard/graph1222.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (12,11) (11,19) (26,18) (6,19) (27,23) (9,15) (24,23) (5,16) (4,18) (1,11) (13,9) (5,25) (7,14) (12,21) (2,1) (15,10) (8,0) (1,0) (27,0) (3,20) (22,0) (17,10) (12,3) (23,20) (12,26) (16,7) (13,20) (19,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1291", - "image": "data/cycle/graph_visual/Base/hard/graph1291.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (4,5) (3,15) (12,26) (8,20) (23,13) (1,26) (22,13) (27,18) (1,0) (1,19) (7,25) (18,26) (11,18) (20,16) (17,14) (16,6) (6,1) (24,2) (2,21) (10,2) (1,9) (17,2) (2,7) (10,0) (11,3) (1,13) (4,12) (13,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph794", - "image": "data/cycle/graph_visual/Base/hard/graph794.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (27,1) (19,25) (17,14) (3,7) (22,11) (11,8) (4,1) (9,31) (7,30) (6,28) (21,20) (13,22) (20,18) (23,27) (19,28) (0,8) (11,25) (11,12) (17,3) (7,10) (16,1) (16,11) (5,14) (12,26) (5,15) (19,32) (9,32) (3,24) (16,21) (3,20) (29,26) (15,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1694", - "image": "data/cycle/graph_visual/Base/hard/graph1694.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (11,24) (21,11) (25,3) (12,23) (11,1) (9,16) (15,10) (5,20) (27,11) (28,22) (2,10) (29,27) (13,16) (12,14) (23,24) (21,30) (24,18) (24,22) (25,5) (2,0) (19,24) (15,31) (26,19) (28,6) (23,13) (29,7) (0,1) (8,29) (13,17) (31,13) (28,5) (29,4) (0,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1481", - "image": "data/cycle/graph_visual/Base/hard/graph1481.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (11,24) (2,0) (25,11) (25,28) (10,1) (29,13) (4,7) (13,28) (22,16) (7,2) (28,20) (14,5) (0,12) (0,19) (1,8) (29,23) (21,17) (20,22) (5,19) (26,2) (15,14) (1,0) (8,7) (23,21) (23,3) (5,29) (17,27) (4,9) (10,19) (3,18) (6,29)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph340", - "image": "data/cycle/graph_visual/Base/hard/graph340.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (14,26) (11,25) (0,2) (16,25) (27,13) (23,17) (14,20) (25,27) (12,28) (4,21) (18,1) (12,6) (7,6) (14,10) (25,6) (15,6) (7,8) (12,5) (8,22) (19,23) (9,5) (3,21) (2,5) (26,15) (21,14) (24,11) (18,14) (26,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1982", - "image": "data/cycle/graph_visual/Base/hard/graph1982.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (15,18) (20,6) (1,16) (17,20) (4,32) (33,5) (2,18) (25,24) (4,6) (32,27) (34,2) (7,10) (14,13) (23,0) (3,26) (28,19) (4,22) (1,0) (9,7) (18,6) (11,24) (10,31) (7,14) (1,14) (22,29) (7,32) (10,26) (25,20) (18,21) (24,19) (30,21) (34,8) (11,12) (0,6) (17,33)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph664", - "image": "data/cycle/graph_visual/Base/hard/graph664.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (11,1) (3,5) (13,20) (24,18) (23,28) (12,23) (6,27) (10,29) (30,13) (24,3) (22,17) (31,13) (18,19) (14,4) (24,20) (27,4) (9,0) (9,5) (9,26) (3,16) (1,7) (14,8) (25,21) (6,21) (10,19) (24,1) (0,22) (19,15) (16,23) (6,17) (2,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1253", - "image": "data/cycle/graph_visual/Base/hard/graph1253.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (10,3) (8,14) (1,0) (5,0) (25,5) (14,4) (15,9) (16,21) (18,15) (12,7) (3,1) (26,27) (19,5) (15,13) (17,20) (7,6) (10,16) (3,22) (8,6) (27,5) (21,2) (22,8) (24,21) (23,6) (9,14) (15,20) (11,10) (25,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph117", - "image": "data/cycle/graph_visual/Base/hard/graph117.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (15,18) (3,19) (13,23) (22,5) (25,6) (9,25) (7,21) (14,13) (8,21) (10,20) (11,24) (4,3) (0,13) (5,0) (23,1) (17,20) (13,6) (4,10) (14,18) (2,24) (26,6) (21,18) (2,3) (16,8) (4,12) (10,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph289", - "image": "data/cycle/graph_visual/Base/hard/graph289.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (14,7) (0,19) (4,15) (21,23) (7,8) (9,3) (13,1) (20,3) (6,17) (0,1) (22,17) (18,24) (6,27) (8,12) (5,20) (0,10) (2,23) (4,23) (6,2) (19,16) (16,7) (13,18) (25,2) (26,7) (17,0) (23,11) (3,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1302", - "image": "data/cycle/graph_visual/Base/hard/graph1302.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (6,25) (18,1) (14,10) (23,19) (15,6) (21,3) (20,14) (27,13) (16,25) (5,2) (12,28) (27,25) (6,7) (26,19) (12,5) (8,22) (24,11) (26,15) (7,8) (5,9) (14,21) (11,25) (2,0) (1,0) (21,4) (26,14) (12,6) (18,14) (23,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph856", - "image": "data/cycle/graph_visual/Base/hard/graph856.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (2,21) (14,30) (4,9) (28,26) (26,27) (18,11) (10,3) (20,15) (17,32) (4,25) (26,8) (13,16) (30,12) (31,7) (28,2) (31,21) (19,33) (30,13) (27,24) (9,5) (0,23) (1,23) (1,9) (7,23) (14,2) (0,15) (26,6) (5,33) (10,18) (32,11) (27,32) (14,29) (0,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph244", - "image": "data/cycle/graph_visual/Base/hard/graph244.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (7,25) (19,21) (22,13) (1,15) (13,9) (18,15) (1,23) (23,7) (23,0) (14,4) (26,6) (22,27) (13,23) (20,5) (1,12) (19,10) (21,24) (4,24) (5,16) (11,17) (6,2) (3,21) (6,8) (17,24) (27,6) (13,20) (16,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph546", - "image": "data/cycle/graph_visual/Base/hard/graph546.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (3,28) (0,8) (13,17) (26,15) (25,10) (20,17) (29,3) (28,10) (4,1) (20,23) (28,6) (9,26) (15,16) (30,16) (2,26) (8,12) (12,24) (3,14) (24,2) (4,23) (22,27) (8,18) (5,6) (22,17) (28,11) (19,24) (7,26) (21,10) (11,0) (22,29)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1345", - "image": "data/cycle/graph_visual/Base/hard/graph1345.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (21,15) (26,16) (7,23) (5,25) (2,7) (1,0) (6,0) (11,23) (20,8) (6,14) (2,10) (27,13) (20,25) (2,0) (5,1) (4,28) (14,26) (10,15) (18,19) (26,22) (11,1) (0,18) (3,0) (8,24) (17,15) (3,18) (16,15) (1,9) (13,12) (27,4) (1,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1083", - "image": "data/cycle/graph_visual/Base/hard/graph1083.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (23,12) (0,6) (5,12) (19,9) (8,17) (6,24) (7,15) (16,20) (3,1) (4,19) (5,4) (19,6) (4,0) (3,4) (17,14) (10,22) (18,13) (6,21) (6,20) (4,7) (2,0) (1,0) (13,0) (14,24) (25,13) (22,4) (2,23) (0,3) (11,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph512", - "image": "data/cycle/graph_visual/Base/hard/graph512.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (0,2) (16,13) (28,1) (21,11) (24,22) (29,21) (24,4) (3,19) (15,0) (4,7) (1,12) (15,4) (22,25) (23,27) (12,9) (6,13) (5,3) (10,4) (16,14) (20,7) (4,26) (6,30) (1,4) (17,3) (18,30) (23,17) (1,21) (8,24) (7,17) (14,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph267", - "image": "data/cycle/graph_visual/Base/hard/graph267.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (0,16) (25,6) (12,15) (18,2) (21,5) (10,25) (19,0) (15,26) (23,20) (26,13) (9,14) (13,20) (23,22) (9,2) (11,24) (20,16) (25,8) (8,17) (1,0) (10,3) (8,7) (7,5) (1,4) (27,12) (2,17) (18,13) (17,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1670", - "image": "data/cycle/graph_visual/Base/hard/graph1670.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (27,24) (4,23) (10,0) (20,3) (10,28) (20,26) (9,30) (21,19) (4,13) (17,15) (20,7) (8,20) (5,30) (11,18) (29,3) (12,4) (2,17) (30,18) (14,19) (23,7) (25,17) (1,14) (31,19) (16,26) (0,1) (13,18) (27,15) (22,3) (17,31) (7,28) (20,15) (11,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph966", - "image": "data/cycle/graph_visual/Base/hard/graph966.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (20,7) (23,33) (13,24) (8,25) (16,22) (13,18) (31,14) (9,12) (22,34) (17,9) (28,27) (18,3) (15,14) (14,10) (14,32) (16,2) (22,7) (5,9) (23,27) (8,11) (8,16) (29,28) (5,16) (27,1) (17,0) (20,27) (8,30) (4,21) (0,26) (19,11) (11,6) (1,18) (4,34) (31,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1041", - "image": "data/cycle/graph_visual/Base/hard/graph1041.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (5,2) (0,2) (25,10) (4,20) (5,19) (2,4) (4,0) (0,13) (1,8) (1,0) (7,0) (16,23) (22,14) (9,19) (12,1) (21,12) (16,25) (7,24) (15,19) (3,17) (6,8) (11,9) (16,19) (18,6) (14,0) (20,12) (0,3) (17,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph736", - "image": "data/cycle/graph_visual/Base/hard/graph736.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (25,9) (23,5) (9,22) (29,22) (13,12) (29,1) (0,31) (17,13) (18,11) (30,32) (27,14) (10,28) (3,16) (21,19) (5,3) (24,11) (20,30) (26,19) (20,11) (10,2) (2,1) (19,12) (15,2) (24,22) (5,6) (26,3) (24,8) (4,29) (28,14) (12,30) (8,7) (31,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph877", - "image": "data/cycle/graph_visual/Base/hard/graph877.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (15,4) (33,31) (8,28) (20,8) (12,24) (17,32) (13,9) (20,26) (26,6) (14,28) (21,13) (8,12) (32,11) (13,22) (14,7) (9,25) (27,1) (19,26) (30,11) (5,11) (29,15) (23,10) (8,3) (12,0) (29,18) (14,17) (2,7) (8,10) (0,33) (16,8) (26,1) (12,25) (4,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1066", - "image": "data/cycle/graph_visual/Base/hard/graph1066.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (19,20) (0,3) (2,0) (5,3) (4,8) (22,7) (9,25) (16,0) (20,23) (8,11) (24,11) (0,1) (15,7) (1,20) (3,18) (7,12) (18,25) (17,12) (0,14) (17,3) (15,11) (16,21) (13,23) (14,24) (23,6) (5,1) (2,19) (10,22) (4,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph532", - "image": "data/cycle/graph_visual/Base/hard/graph532.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (11,2) (0,2) (20,17) (16,7) (12,17) (25,21) (1,21) (6,29) (27,7) (23,14) (5,13) (24,10) (17,16) (14,4) (24,23) (10,3) (20,1) (26,24) (18,30) (11,3) (23,1) (4,8) (25,15) (1,22) (28,19) (9,19) (18,9) (16,13) (27,28) (29,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph357", - "image": "data/cycle/graph_visual/Base/hard/graph357.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (6,10) (8,17) (15,12) (26,24) (14,3) (12,16) (0,28) (25,19) (20,14) (11,23) (24,22) (17,13) (4,5) (9,7) (16,1) (26,10) (9,21) (21,14) (7,11) (21,4) (0,19) (18,5) (15,26) (26,2) (9,10) (27,23) (4,28) (17,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1469", - "image": "data/cycle/graph_visual/Base/hard/graph1469.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (21,24) (5,0) (21,2) (24,25) (15,13) (3,1) (8,6) (8,28) (6,26) (22,28) (10,3) (14,28) (23,8) (3,22) (4,14) (14,9) (12,7) (18,15) (15,9) (20,17) (6,7) (0,2) (15,20) (5,25) (16,10) (16,21) (0,1) (27,29) (5,19) (5,27) (11,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1639", - "image": "data/cycle/graph_visual/Base/hard/graph1639.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (27,28) (0,6) (13,2) (14,15) (1,0) (1,6) (16,9) (18,1) (22,21) (29,2) (4,5) (8,21) (25,14) (30,16) (0,3) (3,22) (20,27) (12,21) (22,26) (0,20) (0,24) (29,7) (25,11) (17,26) (19,16) (2,15) (4,27) (2,31) (23,30) (28,15) (15,12) (23,22) (2,0) (10,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph175", - "image": "data/cycle/graph_visual/Base/hard/graph175.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (23,15) (21,9) (7,12) (18,1) (0,21) (5,4) (11,14) (25,15) (2,6) (22,8) (16,0) (15,16) (5,11) (5,18) (26,2) (24,0) (3,5) (7,14) (13,9) (3,0) (10,24) (19,5) (20,8) (26,10) (5,20) (17,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph381", - "image": "data/cycle/graph_visual/Base/hard/graph381.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (1,26) (1,11) (4,12) (24,6) (14,16) (10,21) (23,25) (23,14) (24,20) (22,4) (17,7) (3,5) (7,4) (15,3) (27,21) (0,2) (15,0) (13,16) (19,22) (8,12) (3,17) (9,4) (28,13) (24,4) (1,21) (7,18) (1,4) (17,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1036", - "image": "data/cycle/graph_visual/Base/hard/graph1036.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (6,19) (5,4) (0,13) (14,16) (1,0) (14,3) (4,0) (5,22) (19,17) (0,2) (7,11) (22,19) (22,14) (3,0) (10,0) (25,23) (20,2) (8,4) (8,9) (21,1) (11,21) (10,2) (24,12) (17,10) (23,14) (12,5) (23,1) (18,19) (15,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1378", - "image": "data/cycle/graph_visual/Base/hard/graph1378.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (18,9) (12,9) (3,13) (16,15) (1,0) (6,0) (27,11) (21,23) (22,13) (26,7) (2,12) (23,26) (24,4) (5,26) (9,1) (6,26) (0,10) (1,8) (27,25) (28,6) (20,8) (15,1) (3,27) (18,24) (18,21) (18,3) (19,24) (20,14) (17,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1582", - "image": "data/cycle/graph_visual/Base/hard/graph1582.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (4,14) (25,10) (16,1) (0,2) (11,3) (12,8) (6,29) (14,26) (2,10) (2,28) (0,1) (18,13) (27,29) (1,17) (10,7) (23,24) (14,15) (9,12) (7,15) (30,21) (30,5) (9,22) (11,6) (21,0) (9,27) (17,25) (19,7) (20,9) (26,24) (13,26) (9,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1497", - "image": "data/cycle/graph_visual/Base/hard/graph1497.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (0,6) (4,9) (1,3) (23,8) (5,12) (26,4) (15,22) (0,13) (29,3) (17,7) (10,17) (2,7) (13,22) (19,4) (1,0) (21,20) (20,14) (26,5) (12,27) (5,16) (6,19) (2,3) (28,6) (24,6) (11,19) (24,14) (6,23) (4,25) (18,4) (13,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1826", - "image": "data/cycle/graph_visual/Base/hard/graph1826.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (29,18) (33,31) (0,12) (8,28) (8,20) (19,26) (8,3) (7,14) (2,0) (6,26) (7,2) (33,0) (21,13) (8,16) (0,3) (12,24) (12,8) (15,4) (13,22) (1,0) (10,23) (14,17) (1,27) (10,8) (28,14) (26,20) (30,11) (9,25) (9,13) (26,1) (4,6) (12,25) (11,32) (15,29) (32,17) (11,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1550", - "image": "data/cycle/graph_visual/Base/hard/graph1550.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (17,28) (0,2) (17,14) (11,7) (18,14) (28,2) (14,12) (8,14) (26,10) (29,24) (13,28) (13,27) (8,6) (7,2) (20,6) (0,1) (5,16) (4,9) (13,0) (14,16) (25,10) (22,1) (16,21) (3,9) (20,15) (19,22) (17,23) (19,15) (9,27) (0,3) (26,20) (29,7) (30,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph517", - "image": "data/cycle/graph_visual/Base/hard/graph517.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (10,24) (12,6) (25,1) (18,4) (28,7) (3,26) (16,11) (16,9) (10,28) (0,30) (11,12) (6,20) (13,25) (3,24) (13,10) (21,18) (27,30) (15,3) (8,23) (9,0) (19,4) (16,14) (28,9) (1,5) (22,3) (26,8) (19,8) (8,29) (17,16) (2,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1901", - "image": "data/cycle/graph_visual/Base/hard/graph1901.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (7,34) (7,29) (17,6) (27,5) (4,15) (14,3) (0,3) (0,4) (8,18) (6,23) (1,0) (4,12) (30,14) (13,21) (9,34) (3,27) (0,2) (26,24) (9,26) (13,2) (14,2) (20,0) (16,34) (10,25) (33,7) (11,3) (31,3) (26,18) (9,1) (20,32) (3,19) (2,8) (32,25) (23,27) (25,3) (4,28) (22,5) (15,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1851", - "image": "data/cycle/graph_visual/Base/hard/graph1851.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (31,10) (3,18) (16,10) (21,18) (17,33) (22,31) (7,32) (27,29) (9,30) (31,30) (0,20) (1,4) (23,14) (32,21) (3,8) (32,24) (27,12) (2,0) (27,4) (32,25) (1,0) (9,19) (3,0) (11,12) (6,20) (2,8) (13,28) (8,4) (1,13) (8,10) (21,6) (13,14) (6,15) (15,17) (19,5) (9,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1097", - "image": "data/cycle/graph_visual/Base/hard/graph1097.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (7,24) (21,18) (6,8) (7,23) (1,15) (6,13) (14,24) (19,9) (22,25) (23,1) (19,21) (15,17) (13,23) (0,1) (3,0) (16,5) (4,12) (24,4) (19,16) (2,6) (23,0) (0,2) (10,17) (1,11) (3,21) (0,4) (5,20) (22,13) (13,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph599", - "image": "data/cycle/graph_visual/Base/hard/graph599.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (26,21) (12,18) (4,13) (5,18) (11,10) (22,17) (12,30) (9,15) (2,3) (20,14) (24,7) (11,2) (19,1) (23,9) (19,23) (8,22) (5,21) (25,1) (0,20) (13,6) (18,24) (10,19) (11,27) (16,3) (8,28) (24,29) (22,10) (30,15) (13,23) (14,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1855", - "image": "data/cycle/graph_visual/Base/hard/graph1855.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (29,13) (11,15) (2,9) (12,7) (12,1) (2,11) (2,0) (31,0) (6,8) (16,28) (17,22) (25,18) (12,28) (25,14) (15,33) (19,18) (26,22) (2,31) (6,3) (21,16) (6,26) (12,10) (5,13) (28,4) (11,19) (0,27) (30,4) (32,18) (1,0) (3,23) (13,30) (8,19) (24,28) (23,24) (20,18) (3,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1677", - "image": "data/cycle/graph_visual/Base/hard/graph1677.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (19,4) (12,10) (1,10) (19,30) (16,5) (3,24) (21,20) (13,2) (11,10) (27,19) (21,31) (0,18) (31,25) (24,7) (31,28) (12,14) (26,28) (23,2) (9,18) (2,0) (5,15) (9,17) (8,13) (1,7) (20,10) (20,13) (5,29) (1,0) (6,11) (29,22) (0,28) (10,16) (23,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph426", - "image": "data/cycle/graph_visual/Base/hard/graph426.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (1,8) (5,2) (0,13) (3,17) (26,18) (16,24) (22,12) (19,29) (25,10) (0,2) (1,12) (23,14) (29,16) (15,19) (19,26) (26,27) (14,0) (25,7) (20,4) (6,21) (5,29) (2,4) (0,7) (9,11) (17,20) (28,26) (9,19) (12,20) (8,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1054", - "image": "data/cycle/graph_visual/Base/hard/graph1054.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (15,16) (3,14) (7,24) (17,25) (14,8) (15,20) (0,14) (17,1) (10,14) (3,0) (17,2) (1,0) (18,25) (5,23) (6,5) (16,21) (25,22) (11,16) (20,19) (24,22) (4,9) (2,4) (5,3) (19,25) (6,13) (2,0) (9,14) (18,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph305", - "image": "data/cycle/graph_visual/Base/hard/graph305.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (17,21) (11,8) (26,15) (9,6) (22,26) (8,4) (16,8) (10,8) (11,26) (10,17) (14,2) (2,26) (20,0) (20,18) (13,9) (5,12) (23,20) (7,15) (7,5) (2,23) (1,15) (27,18) (6,2) (28,20) (7,25) (26,19) (22,3) (12,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph299", - "image": "data/cycle/graph_visual/Base/hard/graph299.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (5,17) (24,0) (16,0) (7,14) (25,15) (2,26) (1,18) (12,9) (5,18) (20,8) (0,3) (21,8) (11,5) (11,13) (14,16) (6,2) (24,27) (5,4) (21,9) (27,26) (15,23) (5,20) (3,22) (19,0) (10,7) (16,15) (5,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1162", - "image": "data/cycle/graph_visual/Base/hard/graph1162.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (21,9) (19,11) (15,19) (22,10) (14,3) (4,7) (19,14) (21,3) (13,24) (22,15) (0,16) (20,25) (9,1) (11,8) (16,13) (18,11) (17,24) (2,0) (26,12) (22,5) (19,17) (18,25) (1,2) (4,14) (1,0) (12,13) (6,24) (0,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1817", - "image": "data/cycle/graph_visual/Base/hard/graph1817.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (31,33) (9,13) (12,26) (16,15) (32,5) (13,26) (33,0) (10,15) (20,25) (1,25) (22,31) (8,14) (33,18) (19,5) (30,20) (27,12) (12,4) (17,0) (13,24) (16,24) (2,25) (21,11) (1,0) (6,11) (29,9) (2,0) (17,2) (30,5) (29,11) (28,23) (14,7) (24,23) (5,21) (8,5) (24,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph815", - "image": "data/cycle/graph_visual/Base/hard/graph815.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (16,19) (29,18) (19,13) (12,32) (23,30) (21,33) (1,11) (11,28) (30,17) (10,15) (7,27) (4,21) (15,12) (13,31) (21,0) (7,20) (8,31) (25,12) (15,5) (31,9) (23,32) (16,24) (12,6) (7,2) (18,22) (28,3) (14,11) (15,11) (20,33) (31,12) (16,26) (0,16) (10,29)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1309", - "image": "data/cycle/graph_visual/Base/hard/graph1309.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (15,22) (17,16) (3,27) (16,10) (8,28) (5,22) (13,15) (1,28) (23,18) (11,16) (5,27) (4,8) (6,14) (5,1) (19,14) (22,12) (0,3) (11,24) (0,27) (9,6) (0,4) (0,1) (23,1) (2,19) (1,21) (20,0) (25,4) (23,14) (23,11) (26,23) (2,0) (7,28)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph141", - "image": "data/cycle/graph_visual/Base/hard/graph141.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (23,26) (17,12) (24,20) (4,20) (23,8) (12,19) (7,25) (3,10) (8,14) (23,11) (26,2) (20,1) (5,6) (16,13) (12,15) (1,13) (15,22) (18,4) (0,17) (6,22) (26,0) (6,21) (9,21) (24,21) (9,3) (7,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1816", - "image": "data/cycle/graph_visual/Base/hard/graph1816.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (18,29) (10,31) (13,22) (32,23) (19,7) (28,25) (1,8) (18,26) (19,21) (3,0) (17,0) (21,33) (30,9) (14,28) (24,0) (24,2) (6,16) (6,9) (3,12) (0,33) (27,5) (11,24) (17,16) (28,4) (14,15) (23,17) (1,0) (13,12) (31,28) (21,5) (20,24) (17,26) (8,30) (0,2) (31,3) (2,28)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1429", - "image": "data/cycle/graph_visual/Base/hard/graph1429.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (28,17) (20,6) (4,27) (18,23) (4,11) (12,15) (28,25) (8,0) (24,5) (14,22) (17,9) (19,0) (0,1) (9,24) (15,25) (29,0) (2,3) (10,29) (13,9) (7,14) (21,20) (19,21) (18,10) (2,29) (5,23) (12,27) (0,16) (22,26) (1,7) (26,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph375", - "image": "data/cycle/graph_visual/Base/hard/graph375.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (26,0) (15,25) (16,5) (9,15) (25,4) (17,26) (7,25) (27,0) (28,24) (21,16) (25,24) (22,5) (23,16) (13,18) (20,12) (19,6) (8,22) (9,14) (16,7) (18,11) (25,6) (13,2) (0,11) (10,13) (4,2) (13,3) (5,1) (15,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph759", - "image": "data/cycle/graph_visual/Base/hard/graph759.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (28,8) (1,28) (14,19) (16,12) (22,21) (18,0) (15,13) (24,19) (4,30) (26,6) (31,29) (18,5) (1,9) (7,14) (1,25) (17,0) (32,16) (19,20) (0,10) (29,18) (19,23) (2,23) (16,23) (14,15) (11,26) (30,3) (9,21) (27,16) (1,29) (26,14) (30,9) (14,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1653", - "image": "data/cycle/graph_visual/Base/hard/graph1653.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (9,21) (19,20) (7,14) (12,16) (19,23) (2,23) (30,29) (18,14) (0,1) (1,9) (31,23) (18,0) (26,11) (14,26) (25,1) (21,22) (30,4) (15,13) (1,16) (30,3) (28,9) (19,24) (28,8) (14,15) (18,29) (10,0) (6,26) (19,14) (1,29) (17,0) (18,5) (27,16) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph210", - "image": "data/cycle/graph_visual/Base/hard/graph210.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (14,7) (18,21) (1,13) (22,6) (0,17) (22,20) (27,12) (3,0) (23,0) (12,18) (24,16) (3,10) (16,2) (9,15) (26,18) (17,4) (9,25) (12,20) (22,16) (9,22) (13,12) (5,24) (27,8) (3,7) (19,7) (11,5) (5,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1160", - "image": "data/cycle/graph_visual/Base/hard/graph1160.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (16,12) (1,24) (9,18) (15,22) (0,24) (20,0) (23,6) (25,7) (14,8) (18,21) (10,26) (19,14) (5,9) (11,16) (2,22) (3,2) (13,9) (6,8) (3,0) (26,15) (14,0) (4,11) (13,12) (4,23) (2,17) (19,7) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph23", - "image": "data/cycle/graph_visual/Base/hard/graph23.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (0,10) (2,17) (2,7) (13,22) (16,19) (11,3) (16,6) (18,25) (5,4) (21,13) (6,1) (18,11) (17,13) (12,17) (23,2) (12,4) (18,1) (8,20) (1,9) (14,3) (24,7) (13,1) (15,1) (20,2) (2,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1033", - "image": "data/cycle/graph_visual/Base/hard/graph1033.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (22,25) (1,0) (14,3) (17,2) (24,22) (18,12) (16,15) (17,1) (25,18) (11,16) (21,16) (4,2) (24,7) (6,5) (0,14) (14,9) (10,14) (5,23) (20,19) (19,25) (3,5) (20,15) (6,13) (14,8) (9,4) (17,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1043", - "image": "data/cycle/graph_visual/Base/hard/graph1043.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (3,24) (8,21) (0,1) (2,10) (24,16) (13,8) (9,13) (17,16) (0,17) (18,14) (25,3) (0,3) (9,4) (10,4) (23,1) (25,19) (25,11) (6,4) (24,5) (20,11) (24,18) (22,23) (15,1) (20,8) (22,18) (0,2) (23,7) (10,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph730", - "image": "data/cycle/graph_visual/Base/hard/graph730.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (10,29) (29,9) (8,0) (9,14) (4,12) (27,0) (0,1) (10,24) (18,21) (20,3) (13,22) (5,25) (28,14) (5,30) (1,32) (20,5) (16,6) (3,29) (22,11) (17,25) (26,16) (17,21) (31,4) (9,15) (7,8) (21,19) (4,23) (4,26) (2,5) (8,21) (30,26) (13,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1039", - "image": "data/cycle/graph_visual/Base/hard/graph1039.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (18,0) (14,15) (2,7) (0,4) (0,3) (23,11) (19,18) (21,8) (6,14) (3,18) (0,6) (2,10) (4,13) (13,1) (11,1) (1,0) (17,15) (25,20) (12,13) (4,25) (1,5) (7,23) (10,15) (22,5) (8,20) (1,9) (15,16) (0,2) (24,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1737", - "image": "data/cycle/graph_visual/Base/hard/graph1737.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (13,21) (31,4) (17,7) (5,32) (9,16) (10,3) (21,18) (31,0) (22,23) (4,3) (8,7) (9,11) (0,1) (15,22) (2,7) (10,6) (13,30) (18,28) (7,4) (10,27) (4,30) (5,12) (0,2) (13,25) (19,10) (18,29) (26,14) (14,30) (11,25) (22,1) (6,5) (25,23) (24,7) (20,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1023", - "image": "data/cycle/graph_visual/Base/hard/graph1023.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (20,10) (10,24) (4,0) (13,16) (25,2) (16,9) (6,1) (11,18) (2,23) (7,12) (14,4) (2,3) (17,4) (3,0) (5,12) (17,9) (1,0) (2,0) (21,1) (20,7) (25,19) (18,17) (8,18) (1,20) (0,22) (25,16) (18,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph791", - "image": "data/cycle/graph_visual/Base/hard/graph791.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (6,26) (17,22) (3,8) (31,6) (17,28) (32,30) (20,3) (10,32) (23,1) (21,14) (14,9) (13,8) (16,20) (1,8) (4,2) (20,21) (28,7) (0,29) (26,3) (24,12) (29,9) (15,2) (20,11) (18,5) (3,25) (22,18) (7,16) (9,19) (10,19) (15,13) (29,12) (27,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph489", - "image": "data/cycle/graph_visual/Base/hard/graph489.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (29,12) (20,2) (25,8) (20,6) (4,25) (1,27) (0,22) (6,25) (0,15) (24,2) (5,17) (27,13) (17,10) (11,25) (23,16) (6,19) (16,7) (3,24) (1,18) (9,23) (19,0) (4,21) (26,8) (29,20) (18,23) (14,4) (17,15) (20,28) (19,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1611", - "image": "data/cycle/graph_visual/Base/hard/graph1611.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (6,5) (1,4) (15,14) (27,19) (25,1) (7,17) (3,7) (10,27) (21,27) (0,3) (13,9) (2,20) (6,8) (30,17) (14,26) (5,18) (24,14) (0,29) (10,0) (22,5) (13,21) (26,12) (0,1) (23,13) (2,1) (16,8) (6,21) (9,17) (2,0) (15,11) (5,31) (28,17) (14,28) (1,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph522", - "image": "data/cycle/graph_visual/Base/hard/graph522.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (1,8) (6,16) (25,30) (17,15) (4,9) (21,25) (3,24) (28,18) (15,26) (30,8) (28,6) (30,19) (11,15) (20,12) (12,29) (5,24) (18,11) (16,4) (16,14) (24,4) (12,2) (0,27) (19,3) (1,13) (26,22) (13,10) (23,9) (7,28) (29,27) (9,29)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph85", - "image": "data/cycle/graph_visual/Base/hard/graph85.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (21,3) (20,6) (15,19) (8,12) (9,23) (5,22) (19,1) (2,0) (13,7) (5,14) (9,1) (19,16) (24,4) (14,24) (5,3) (1,5) (10,14) (13,15) (13,11) (21,20) (8,18) (25,21) (17,13) (6,8) (2,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph733", - "image": "data/cycle/graph_visual/Base/hard/graph733.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (24,18) (10,2) (0,28) (11,27) (7,3) (31,20) (6,31) (0,23) (15,25) (13,17) (0,30) (29,19) (32,14) (25,31) (2,18) (23,9) (1,4) (26,8) (10,25) (6,7) (9,10) (11,22) (26,4) (15,19) (2,13) (28,14) (28,26) (27,16) (7,11) (17,12) (17,21) (29,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1367", - "image": "data/cycle/graph_visual/Base/hard/graph1367.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (0,22) (2,26) (8,20) (16,18) (23,8) (28,9) (1,0) (19,5) (18,1) (7,28) (20,5) (27,5) (24,0) (0,2) (5,21) (25,3) (6,2) (16,15) (13,9) (11,5) (27,15) (10,7) (0,16) (0,3) (15,26) (24,28) (4,5) (21,14) (14,12) (0,4) (11,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph187", - "image": "data/cycle/graph_visual/Base/hard/graph187.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (26,17) (9,21) (12,15) (0,3) (13,8) (18,9) (8,23) (19,18) (15,2) (22,16) (12,16) (24,0) (1,8) (16,7) (14,5) (14,3) (15,10) (24,25) (20,5) (14,6) (11,17) (6,16) (3,4) (2,18) (0,13) (13,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1147", - "image": "data/cycle/graph_visual/Base/hard/graph1147.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (18,4) (3,0) (16,12) (2,24) (21,13) (21,11) (2,0) (10,22) (0,1) (17,21) (20,26) (8,25) (0,4) (23,1) (16,15) (15,8) (2,10) (8,24) (19,22) (13,5) (0,14) (15,23) (1,7) (22,3) (18,21) (3,11) (6,14) (14,21) (24,9) (23,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph661", - "image": "data/cycle/graph_visual/Base/hard/graph661.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (27,17) (13,2) (23,27) (18,23) (5,3) (29,0) (0,23) (5,26) (30,0) (28,2) (7,5) (2,8) (14,1) (24,16) (18,24) (26,13) (12,6) (29,6) (27,25) (1,20) (22,4) (9,21) (11,28) (3,9) (18,15) (28,19) (14,4) (10,23) (26,4) (31,20) (23,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1999", - "image": "data/cycle/graph_visual/Base/hard/graph1999.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (7,2) (10,6) (27,10) (22,1) (10,19) (13,25) (4,30) (18,34) (5,6) (0,31) (17,7) (3,4) (0,1) (3,0) (29,18) (11,25) (9,16) (2,0) (4,32) (5,18) (15,22) (21,13) (24,7) (9,11) (2,20) (5,33) (18,28) (10,3) (13,30) (14,30) (14,26) (8,7) (12,5) (25,23) (21,31) (23,22) (7,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1921", - "image": "data/cycle/graph_visual/Base/hard/graph1921.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (2,8) (32,11) (33,21) (10,31) (3,18) (5,34) (27,12) (23,31) (14,24) (6,21) (20,9) (9,30) (3,8) (6,15) (32,26) (17,34) (19,10) (1,0) (4,1) (30,27) (4,27) (18,21) (28,9) (12,16) (32,25) (8,4) (13,14) (13,1) (29,13) (10,8) (17,15) (6,22) (0,20) (32,31) (7,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph687", - "image": "data/cycle/graph_visual/Base/hard/graph687.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (8,21) (25,0) (24,29) (23,28) (14,21) (31,23) (19,9) (9,1) (12,14) (23,14) (18,5) (20,1) (4,2) (3,11) (19,10) (11,8) (24,13) (20,5) (22,15) (6,22) (17,16) (1,26) (15,30) (29,14) (28,0) (27,4) (7,23) (4,18) (17,22) (22,31) (16,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph974", - "image": "data/cycle/graph_visual/Base/hard/graph974.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (23,31) (11,14) (7,22) (1,24) (28,9) (10,32) (3,5) (21,6) (22,17) (13,34) (17,6) (27,32) (24,3) (33,9) (20,24) (21,26) (33,13) (22,0) (23,14) (19,25) (16,23) (1,8) (15,4) (33,2) (12,1) (18,19) (6,29) (9,0) (18,24) (10,19) (20,13) (5,30) (27,4) (16,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph583", - "image": "data/cycle/graph_visual/Base/hard/graph583.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (15,14) (9,16) (2,25) (24,22) (21,17) (0,24) (7,1) (22,27) (6,12) (8,11) (3,11) (0,11) (13,1) (1,12) (30,25) (25,20) (11,28) (23,9) (23,15) (10,13) (2,17) (24,29) (29,15) (18,4) (24,25) (18,26) (20,1) (6,26) (19,21) (5,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph26", - "image": "data/cycle/graph_visual/Base/hard/graph26.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (18,9) (16,25) (15,11) (12,2) (12,1) (16,6) (3,18) (19,25) (8,15) (23,6) (10,20) (14,24) (7,9) (8,1) (23,21) (24,19) (5,0) (22,3) (20,18) (6,0) (4,24) (13,17) (1,9) (13,3) (18,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph367", - "image": "data/cycle/graph_visual/Base/hard/graph367.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (24,18) (1,24) (16,11) (23,4) (9,5) (7,26) (17,26) (11,4) (22,15) (12,13) (6,8) (9,13) (27,0) (14,19) (3,0) (16,12) (9,18) (10,28) (15,28) (7,19) (0,25) (14,28) (3,2) (23,6) (8,14) (2,20) (2,22) (21,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph953", - "image": "data/cycle/graph_visual/Base/hard/graph953.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (0,21) (5,17) (7,3) (23,9) (5,26) (4,32) (10,27) (29,1) (29,22) (6,24) (10,29) (16,8) (27,28) (26,14) (13,34) (18,13) (7,8) (30,28) (18,6) (11,19) (10,31) (0,11) (14,33) (13,17) (2,24) (25,21) (17,12) (32,8) (10,15) (5,23) (32,20) (21,2) (24,4) (3,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1863", - "image": "data/cycle/graph_visual/Base/hard/graph1863.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (13,18) (12,14) (1,14) (8,7) (6,0) (18,2) (7,14) (16,0) (19,27) (20,17) (0,2) (21,18) (7,32) (24,11) (20,25) (9,11) (28,22) (3,26) (21,29) (25,24) (10,30) (33,2) (26,32) (1,0) (19,24) (4,6) (5,33) (0,3) (18,6) (31,4) (15,1) (4,22) (10,23) (10,7) (6,20) (17,32)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1487", - "image": "data/cycle/graph_visual/Base/hard/graph1487.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (9,1) (26,7) (4,24) (27,12) (13,3) (13,24) (6,0) (15,17) (27,28) (9,14) (1,15) (29,26) (3,18) (26,23) (20,24) (27,19) (0,1) (1,8) (0,2) (18,21) (11,0) (18,9) (23,21) (3,27) (10,26) (8,22) (29,5) (20,16) (25,18) (6,29) (2,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph998", - "image": "data/cycle/graph_visual/Base/hard/graph998.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (20,21) (13,2) (12,14) (11,10) (29,22) (10,25) (31,26) (4,19) (5,30) (1,7) (28,0) (11,6) (3,24) (5,15) (31,19) (18,9) (13,8) (9,17) (33,1) (23,2) (34,4) (27,28) (7,24) (10,16) (0,18) (23,33) (21,4) (10,12) (20,13) (34,32) (20,10) (28,19) (31,29) (5,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1527", - "image": "data/cycle/graph_visual/Base/hard/graph1527.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (23,4) (18,10) (15,28) (14,18) (26,9) (6,0) (12,18) (8,9) (18,28) (7,21) (9,13) (15,8) (28,19) (0,3) (2,0) (17,23) (5,2) (24,25) (26,27) (16,20) (2,17) (15,6) (22,3) (1,4) (25,14) (11,22) (21,20) (29,30) (30,20) (21,1) (11,2) (1,0) (8,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1035", - "image": "data/cycle/graph_visual/Base/hard/graph1035.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (6,12) (21,20) (22,11) (4,7) (24,15) (10,6) (4,9) (22,15) (13,1) (2,4) (12,8) (25,12) (1,2) (12,19) (5,11) (16,6) (15,18) (14,0) (17,16) (6,18) (0,1) (25,7) (14,23) (12,14) (2,0) (0,3) (0,20) (3,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph513", - "image": "data/cycle/graph_visual/Base/hard/graph513.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (16,30) (15,10) (20,0) (14,0) (6,28) (4,23) (1,17) (30,7) (13,26) (13,19) (1,3) (5,26) (17,12) (21,1) (25,13) (1,29) (0,7) (2,8) (23,8) (16,9) (5,4) (27,15) (30,5) (11,18) (11,27) (14,12) (25,24) (11,14) (20,28) (22,29)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1269", - "image": "data/cycle/graph_visual/Base/hard/graph1269.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (15,19) (4,20) (22,24) (14,8) (7,23) (7,17) (27,11) (11,10) (2,11) (2,4) (6,0) (23,15) (15,13) (5,9) (6,3) (16,7) (13,5) (22,18) (12,19) (1,4) (1,0) (9,25) (26,15) (22,26) (0,2) (3,23) (0,21) (11,22) (14,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph803", - "image": "data/cycle/graph_visual/Base/hard/graph803.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (27,32) (4,9) (31,21) (26,6) (15,0) (23,1) (32,17) (0,22) (16,13) (10,18) (14,30) (7,31) (30,12) (5,33) (7,23) (4,25) (2,28) (26,27) (3,10) (33,19) (29,14) (13,30) (20,15) (24,27) (28,26) (14,2) (18,11) (8,26) (1,9) (21,2) (5,9) (0,23) (32,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph573", - "image": "data/cycle/graph_visual/Base/hard/graph573.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (5,11) (3,7) (20,23) (2,1) (8,30) (0,14) (4,10) (26,12) (14,25) (12,2) (28,26) (17,1) (16,6) (15,30) (9,12) (2,15) (14,12) (15,24) (19,4) (22,13) (18,29) (6,11) (4,7) (28,6) (6,18) (7,25) (20,0) (21,16) (15,27) (22,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph335", - "image": "data/cycle/graph_visual/Base/hard/graph335.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (3,21) (27,19) (22,5) (18,11) (19,15) (17,28) (24,13) (17,26) (4,14) (3,14) (1,2) (12,28) (15,22) (25,20) (4,7) (25,18) (12,13) (14,19) (0,23) (16,13) (1,9) (9,21) (22,10) (11,19) (24,6) (0,16) (24,27) (8,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1389", - "image": "data/cycle/graph_visual/Base/hard/graph1389.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (23,4) (16,0) (19,4) (22,11) (24,21) (21,9) (25,14) (7,9) (4,1) (20,6) (0,1) (23,24) (3,18) (15,20) (1,20) (26,14) (6,18) (2,0) (28,5) (16,10) (12,1) (2,14) (26,0) (6,28) (28,8) (8,11) (17,21) (16,28) (27,23) (7,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph378", - "image": "data/cycle/graph_visual/Base/hard/graph378.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (27,14) (7,16) (23,26) (10,20) (10,18) (17,28) (22,28) (23,6) (13,12) (14,3) (25,17) (24,6) (4,0) (17,2) (12,21) (18,23) (5,9) (15,11) (25,15) (15,8) (1,15) (14,19) (7,14) (28,9) (12,28) (1,6) (17,4) (19,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph281", - "image": "data/cycle/graph_visual/Base/hard/graph281.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (10,19) (10,26) (2,25) (2,7) (11,25) (5,17) (20,11) (18,1) (5,14) (13,23) (22,13) (7,8) (21,17) (22,1) (0,9) (5,19) (4,7) (6,4) (22,15) (8,1) (12,14) (16,3) (0,19) (18,27) (23,3) (20,24) (21,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1028", - "image": "data/cycle/graph_visual/Base/hard/graph1028.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (2,0) (0,13) (25,13) (1,12) (4,5) (20,25) (4,11) (23,0) (17,25) (18,9) (21,2) (15,18) (10,1) (21,5) (8,7) (1,7) (25,24) (4,12) (14,15) (9,6) (3,0) (16,8) (22,2) (10,14) (19,25) (3,9) (20,7) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph490", - "image": "data/cycle/graph_visual/Base/hard/graph490.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (22,29) (20,17) (28,3) (24,12) (11,28) (24,2) (6,28) (8,12) (25,22) (29,15) (17,22) (10,23) (9,26) (8,16) (3,27) (10,28) (14,3) (19,10) (26,7) (13,17) (4,23) (26,15) (6,5) (20,21) (0,11) (24,18) (8,0) (2,26) (4,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1793", - "image": "data/cycle/graph_visual/Base/hard/graph1793.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (0,1) (14,32) (31,20) (26,8) (19,29) (25,10) (0,4) (17,13) (30,0) (15,25) (12,17) (22,11) (23,9) (16,27) (31,25) (0,28) (28,26) (21,17) (0,23) (28,14) (29,5) (9,10) (2,18) (6,31) (10,2) (13,2) (3,7) (24,18) (0,3) (26,4) (11,7) (15,19) (2,0) (4,1) (6,7) (27,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph3", - "image": "data/cycle/graph_visual/Base/hard/graph3.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (23,7) (1,13) (25,20) (2,7) (19,18) (11,1) (21,8) (3,18) (6,14) (18,0) (22,5) (4,25) (10,2) (6,0) (8,20) (15,10) (9,1) (1,5) (13,4) (13,12) (15,16) (24,16) (14,15) (11,23) (15,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph485", - "image": "data/cycle/graph_visual/Base/hard/graph485.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (4,3) (19,27) (24,10) (21,13) (1,3) (20,2) (22,9) (6,19) (18,3) (24,8) (10,16) (16,2) (20,12) (14,11) (7,28) (13,25) (4,14) (17,10) (21,26) (22,21) (9,5) (21,23) (12,7) (12,25) (4,26) (6,22) (15,14) (29,0) (8,29)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph184", - "image": "data/cycle/graph_visual/Base/hard/graph184.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (25,1) (16,13) (6,1) (10,15) (26,13) (11,14) (1,18) (19,4) (11,5) (12,14) (20,0) (1,17) (8,3) (5,23) (25,21) (24,20) (9,16) (4,5) (11,15) (17,12) (23,8) (22,13) (14,0) (26,2) (7,2) (0,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph924", - "image": "data/cycle/graph_visual/Base/hard/graph924.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (0,13) (5,27) (30,20) (19,30) (10,25) (1,23) (23,8) (19,34) (32,7) (3,19) (0,1) (33,29) (27,32) (9,15) (29,11) (13,20) (22,4) (29,26) (7,24) (10,26) (4,23) (6,16) (8,21) (28,1) (18,33) (31,6) (18,14) (28,12) (33,31) (24,8) (11,17) (4,2) (29,13) (16,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1859", - "image": "data/cycle/graph_visual/Base/hard/graph1859.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (26,8) (33,3) (4,13) (21,5) (10,7) (0,31) (7,32) (2,31) (15,31) (32,19) (30,18) (1,2) (33,8) (33,10) (20,6) (4,11) (12,29) (1,0) (3,22) (17,6) (12,18) (25,23) (23,0) (24,30) (9,19) (16,1) (21,20) (5,28) (28,12) (9,13) (27,0) (14,15) (33,2) (21,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph421", - "image": "data/cycle/graph_visual/Base/hard/graph421.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (25,17) (9,27) (21,0) (27,28) (1,17) (6,8) (7,10) (29,21) (14,4) (2,10) (13,16) (15,14) (24,14) (26,13) (3,11) (7,18) (6,29) (0,1) (7,15) (25,10) (20,9) (9,7) (1,12) (23,26) (19,9) (26,2) (12,5) (22,24) (9,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph982", - "image": "data/cycle/graph_visual/Base/hard/graph982.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (23,15) (9,18) (17,6) (8,18) (30,22) (8,34) (1,25) (2,34) (27,33) (8,19) (5,29) (31,7) (25,4) (12,13) (24,1) (19,31) (24,16) (1,15) (29,25) (28,10) (34,22) (16,13) (33,10) (0,21) (15,17) (4,32) (1,11) (3,14) (17,7) (3,25) (0,33) (5,20) (26,4) (27,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph407", - "image": "data/cycle/graph_visual/Base/hard/graph407.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (21,24) (0,15) (15,16) (7,23) (24,15) (20,9) (10,7) (11,3) (13,7) (2,19) (4,11) (8,11) (14,22) (2,17) (4,27) (20,17) (28,26) (25,29) (28,12) (22,10) (18,10) (8,5) (6,2) (21,17) (26,3) (11,10) (7,6) (2,29) (1,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1163", - "image": "data/cycle/graph_visual/Base/hard/graph1163.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (10,11) (2,11) (9,5) (7,23) (4,1) (19,12) (15,13) (9,24) (26,15) (5,13) (0,3) (15,19) (0,6) (22,26) (2,0) (4,2) (0,1) (20,4) (18,22) (25,22) (7,17) (16,7) (0,4) (6,3) (8,14) (0,11) (14,5) (23,22) (3,23) (15,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph787", - "image": "data/cycle/graph_visual/Base/hard/graph787.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (32,7) (1,13) (13,14) (30,9) (0,20) (32,24) (6,19) (5,19) (28,27) (15,6) (32,23) (1,4) (8,3) (27,4) (8,2) (31,29) (14,22) (30,10) (15,32) (10,8) (18,3) (21,31) (12,27) (18,21) (8,4) (11,12) (31,20) (9,25) (6,21) (17,9) (13,26) (10,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph768", - "image": "data/cycle/graph_visual/Base/hard/graph768.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (19,10) (27,3) (3,14) (18,23) (16,1) (15,0) (18,25) (26,25) (18,19) (24,32) (12,17) (6,16) (5,23) (6,11) (15,30) (29,11) (17,28) (21,5) (21,24) (9,20) (7,6) (1,13) (9,5) (10,12) (30,13) (8,25) (23,14) (4,22) (2,19) (4,1) (31,32) (17,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph575", - "image": "data/cycle/graph_visual/Base/hard/graph575.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (0,12) (9,21) (27,10) (6,9) (19,26) (15,18) (0,27) (23,0) (17,1) (7,13) (23,13) (26,3) (29,28) (13,9) (30,14) (22,19) (14,29) (8,5) (30,20) (17,25) (15,11) (5,2) (16,21) (11,30) (30,8) (24,8) (3,4) (26,13) (0,17) (11,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph667", - "image": "data/cycle/graph_visual/Base/hard/graph667.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (24,17) (15,12) (0,8) (6,12) (23,6) (9,11) (7,10) (2,12) (30,19) (14,5) (13,1) (27,11) (4,31) (17,22) (16,25) (3,8) (0,19) (31,0) (21,11) (2,18) (26,9) (25,11) (29,21) (28,25) (16,10) (23,30) (20,23) (5,17) (7,6) (8,1) (24,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph670", - "image": "data/cycle/graph_visual/Base/hard/graph670.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (7,22) (8,6) (29,9) (18,13) (4,29) (30,26) (3,28) (0,24) (14,27) (19,21) (19,13) (0,31) (11,4) (5,20) (4,26) (4,22) (10,29) (21,16) (25,17) (30,5) (0,8) (17,21) (21,8) (2,16) (14,9) (20,3) (5,25) (1,5) (10,23) (26,15) (9,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1820", - "image": "data/cycle/graph_visual/Base/hard/graph1820.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (32,21) (28,21) (23,17) (4,10) (24,0) (27,23) (25,32) (1,23) (12,27) (0,4) (21,8) (8,7) (16,33) (29,31) (20,5) (30,33) (23,22) (19,6) (30,4) (1,15) (6,31) (5,10) (9,11) (31,3) (3,14) (0,6) (0,2) (13,16) (21,2) (20,15) (1,0) (26,0) (18,9) (3,1) (21,10) (3,0) (17,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph677", - "image": "data/cycle/graph_visual/Base/hard/graph677.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (16,15) (21,15) (14,19) (25,4) (28,19) (14,23) (19,18) (19,11) (3,12) (26,0) (15,24) (20,28) (26,24) (14,21) (7,29) (4,1) (18,17) (23,2) (31,22) (9,25) (27,5) (29,21) (8,24) (12,10) (3,30) (9,6) (5,21) (6,31) (29,1) (13,26) (3,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph696", - "image": "data/cycle/graph_visual/Base/hard/graph696.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (10,9) (3,21) (30,15) (19,25) (9,28) (1,28) (18,22) (14,28) (14,24) (29,2) (13,4) (17,18) (21,29) (1,27) (24,5) (15,28) (31,18) (20,22) (22,27) (11,24) (8,26) (10,12) (0,20) (1,7) (19,13) (4,8) (11,19) (21,11) (30,6) (0,16) (23,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1501", - "image": "data/cycle/graph_visual/Base/hard/graph1501.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (13,18) (1,4) (23,20) (27,23) (0,5) (7,8) (28,11) (18,2) (0,16) (13,26) (2,0) (3,0) (16,20) (24,0) (3,10) (10,25) (12,29) (17,2) (15,26) (1,0) (15,30) (14,29) (9,21) (9,28) (13,20) (25,19) (30,6) (22,2) (8,29) (8,17) (25,5) (0,4) (17,11) (5,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1502", - "image": "data/cycle/graph_visual/Base/hard/graph1502.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (5,17) (23,0) (8,23) (23,6) (21,10) (25,3) (27,23) (0,1) (24,29) (27,21) (16,22) (28,11) (13,7) (16,3) (14,10) (20,24) (26,9) (15,13) (22,4) (15,8) (29,12) (26,19) (14,1) (24,25) (2,30) (14,17) (7,18) (19,18) (5,11) (20,17) (30,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1447", - "image": "data/cycle/graph_visual/Base/hard/graph1447.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (0,4) (8,26) (29,3) (20,3) (6,15) (5,13) (27,23) (21,5) (12,6) (18,10) (14,0) (19,4) (20,23) (4,25) (23,9) (21,16) (11,5) (22,2) (2,17) (0,1) (5,6) (0,24) (3,0) (12,7) (0,2) (25,29) (14,28) (24,26) (24,18) (27,14) (1,22) (22,21) (9,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1032", - "image": "data/cycle/graph_visual/Base/hard/graph1032.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (11,25) (6,0) (0,1) (11,20) (9,16) (10,14) (0,5) (22,4) (15,1) (22,14) (3,10) (7,21) (3,7) (24,12) (0,4) (6,2) (19,4) (18,21) (12,8) (0,2) (3,0) (0,17) (5,16) (22,11) (23,13) (7,5) (8,23) (11,8) (25,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph176", - "image": "data/cycle/graph_visual/Base/hard/graph176.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (3,12) (20,3) (20,13) (5,24) (2,1) (12,11) (18,4) (6,19) (9,15) (11,1) (26,18) (25,12) (16,5) (13,9) (17,10) (10,15) (16,19) (21,12) (26,23) (23,0) (8,0) (22,0) (14,7) (11,19) (20,23) (16,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph467", - "image": "data/cycle/graph_visual/Base/hard/graph467.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (14,19) (15,13) (22,12) (23,18) (9,15) (26,28) (15,25) (17,25) (29,0) (2,19) (15,1) (10,21) (1,6) (14,17) (4,14) (6,27) (9,8) (6,23) (3,4) (11,28) (17,5) (29,24) (14,7) (12,28) (18,10) (16,12) (23,28) (29,2) (7,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1167", - "image": "data/cycle/graph_visual/Base/hard/graph1167.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (6,2) (17,18) (20,7) (22,21) (0,2) (16,2) (24,26) (17,21) (10,11) (7,9) (24,14) (12,22) (4,11) (2,26) (10,15) (17,2) (15,0) (7,6) (3,0) (20,8) (8,1) (15,13) (19,10) (0,1) (5,11) (3,25) (11,3) (7,10) (4,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1416", - "image": "data/cycle/graph_visual/Base/hard/graph1416.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (10,0) (10,3) (22,27) (16,5) (6,19) (29,11) (14,26) (20,8) (2,0) (2,6) (14,24) (2,8) (16,22) (3,0) (26,15) (12,8) (7,19) (6,18) (29,4) (11,16) (26,28) (0,1) (0,26) (4,13) (25,0) (19,1) (24,4) (17,24) (23,1) (16,21) (9,25) (16,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1741", - "image": "data/cycle/graph_visual/Base/hard/graph1741.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (16,25) (13,31) (6,7) (15,12) (10,7) (17,24) (17,22) (11,21) (2,18) (20,23) (19,30) (8,1) (25,28) (25,11) (9,26) (17,5) (1,0) (32,16) (29,21) (12,6) (12,2) (32,19) (1,14) (10,31) (23,30) (23,24) (32,3) (6,23) (5,0) (0,8) (8,4) (11,27) (11,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1994", - "image": "data/cycle/graph_visual/Base/hard/graph1994.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (23,5) (17,12) (1,0) (2,6) (9,30) (33,18) (5,30) (2,8) (6,24) (7,16) (2,12) (27,21) (1,17) (6,18) (0,9) (27,31) (3,5) (10,0) (14,1) (0,2) (16,26) (3,0) (34,22) (15,31) (32,12) (25,12) (13,20) (31,4) (5,21) (16,29) (11,23) (26,23) (4,0) (19,26) (20,34) (34,12) (28,16) (6,28)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph409", - "image": "data/cycle/graph_visual/Base/hard/graph409.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (26,12) (17,21) (26,23) (13,23) (0,24) (6,9) (2,13) (3,29) (12,7) (24,5) (3,22) (8,27) (10,25) (20,27) (1,16) (19,17) (9,5) (16,25) (16,28) (8,21) (14,11) (10,20) (18,22) (7,0) (15,22) (9,11) (8,13) (4,25) (29,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph55", - "image": "data/cycle/graph_visual/Base/hard/graph55.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (10,14) (16,8) (0,23) (25,17) (22,2) (20,25) (13,25) (21,2) (3,9) (21,5) (8,7) (4,11) (15,14) (24,25) (5,4) (9,6) (4,12) (1,10) (0,13) (18,9) (1,12) (18,15) (20,7) (7,1) (19,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1075", - "image": "data/cycle/graph_visual/Base/hard/graph1075.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (24,8) (3,0) (0,1) (13,3) (12,23) (10,19) (13,4) (22,15) (10,11) (22,10) (17,1) (24,7) (19,1) (9,25) (21,20) (19,23) (2,0) (16,14) (14,11) (23,9) (13,6) (20,0) (22,8) (18,11) (11,2) (3,2) (5,18) (5,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph969", - "image": "data/cycle/graph_visual/Base/hard/graph969.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (8,18) (34,9) (25,3) (24,26) (4,28) (20,32) (10,25) (4,15) (3,11) (17,6) (5,22) (7,34) (27,3) (6,23) (1,9) (30,14) (0,20) (26,18) (8,2) (2,13) (19,3) (16,34) (5,27) (9,26) (14,2) (7,29) (4,12) (13,21) (32,25) (15,5) (7,33) (14,3) (27,23) (3,31)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph871", - "image": "data/cycle/graph_visual/Base/hard/graph871.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (31,10) (15,17) (28,13) (16,10) (14,23) (20,6) (6,15) (19,5) (30,31) (13,1) (27,12) (3,8) (30,9) (32,25) (4,8) (19,9) (10,8) (17,33) (24,32) (13,14) (4,1) (11,12) (31,22) (3,18) (32,7) (0,20) (6,21) (2,8) (27,29) (9,26) (21,18) (27,4) (32,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1695", - "image": "data/cycle/graph_visual/Base/hard/graph1695.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (13,0) (18,7) (25,4) (6,22) (27,16) (1,0) (8,4) (3,0) (10,29) (19,2) (12,7) (6,24) (11,22) (2,13) (19,20) (25,30) (26,27) (26,22) (28,4) (17,6) (11,20) (10,12) (19,5) (24,1) (15,2) (4,29) (22,12) (21,30) (9,30) (23,6) (8,31) (2,0) (14,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1796", - "image": "data/cycle/graph_visual/Base/hard/graph1796.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (23,24) (0,1) (19,30) (4,11) (31,5) (8,6) (9,30) (15,27) (26,3) (0,15) (16,32) (20,22) (14,25) (10,22) (24,0) (27,7) (13,23) (4,23) (6,30) (14,5) (28,9) (17,20) (21,19) (17,21) (9,1) (6,16) (32,23) (1,31) (10,2) (27,29) (18,2) (26,25) (12,29)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph899", - "image": "data/cycle/graph_visual/Base/hard/graph899.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (21,10) (2,17) (7,9) (20,1) (18,21) (17,10) (30,13) (29,9) (33,6) (10,22) (27,23) (11,32) (7,30) (16,4) (29,4) (26,2) (15,10) (14,11) (5,33) (12,6) (1,10) (3,2) (10,28) (27,4) (25,30) (26,0) (10,11) (3,19) (31,14) (33,14) (26,24) (23,26) (8,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph943", - "image": "data/cycle/graph_visual/Base/hard/graph943.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (4,9) (13,16) (30,12) (23,7) (21,2) (10,18) (4,25) (18,11) (5,9) (3,10) (14,2) (24,27) (23,0) (13,30) (27,26) (32,11) (34,5) (32,17) (14,30) (31,7) (15,20) (33,31) (8,26) (2,28) (1,23) (34,21) (26,28) (29,14) (22,0) (19,33) (1,9) (6,26) (32,27) (15,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph97", - "image": "data/cycle/graph_visual/Base/hard/graph97.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (5,16) (2,6) (6,13) (19,9) (22,13) (4,12) (20,13) (4,24) (17,10) (5,20) (6,8) (25,22) (21,19) (1,23) (17,15) (11,1) (7,24) (24,14) (18,21) (0,23) (15,1) (23,13) (3,21) (19,16) (7,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph438", - "image": "data/cycle/graph_visual/Base/hard/graph438.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (2,11) (27,26) (6,0) (11,8) (2,5) (22,11) (14,25) (21,20) (20,29) (8,9) (6,15) (23,17) (9,26) (8,15) (18,12) (14,18) (25,24) (28,19) (3,22) (7,21) (17,2) (28,15) (18,28) (4,23) (4,1) (20,16) (13,9) (18,10) (1,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph749", - "image": "data/cycle/graph_visual/Base/hard/graph749.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (18,5) (6,31) (20,11) (20,16) (0,29) (3,20) (12,24) (14,21) (29,12) (8,13) (1,23) (29,9) (10,19) (26,6) (25,3) (21,20) (32,10) (19,9) (18,22) (15,13) (2,15) (16,7) (26,3) (9,14) (28,7) (28,17) (17,22) (4,2) (3,8) (8,1) (11,27) (32,30)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1400", - "image": "data/cycle/graph_visual/Base/hard/graph1400.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (29,25) (16,21) (26,10) (1,11) (14,0) (6,13) (13,15) (28,26) (27,9) (2,15) (9,24) (20,7) (20,22) (9,0) (21,10) (23,19) (25,0) (5,9) (14,12) (19,9) (15,3) (0,7) (21,4) (7,11) (7,8) (22,17) (18,8) (23,4) (27,13) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1993", - "image": "data/cycle/graph_visual/Base/hard/graph1993.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (12,5) (10,31) (29,23) (16,0) (4,20) (10,2) (1,15) (24,32) (21,32) (14,12) (19,3) (9,12) (22,8) (28,6) (15,9) (12,3) (3,0) (20,27) (17,16) (1,25) (26,33) (5,16) (8,29) (1,6) (11,0) (24,12) (20,33) (1,0) (18,32) (1,22) (34,9) (7,32) (0,2) (2,22) (9,13) (4,0) (23,30) (28,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph547", - "image": "data/cycle/graph_visual/Base/hard/graph547.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (23,6) (25,6) (21,30) (5,18) (28,11) (29,13) (7,26) (19,4) (23,26) (14,8) (4,21) (17,30) (0,24) (8,0) (27,13) (20,18) (15,2) (1,0) (10,24) (15,18) (10,11) (15,8) (3,25) (9,2) (24,12) (17,29) (16,1) (27,23) (24,22) (25,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph553", - "image": "data/cycle/graph_visual/Base/hard/graph553.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (6,22) (24,8) (16,18) (1,7) (17,26) (2,18) (12,15) (4,9) (20,27) (13,15) (15,23) (17,5) (17,15) (29,10) (27,30) (15,22) (26,29) (26,21) (17,8) (18,3) (0,19) (0,29) (25,7) (28,17) (20,14) (2,19) (12,20) (7,6) (11,19) (11,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph711", - "image": "data/cycle/graph_visual/Base/hard/graph711.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (0,10) (19,7) (27,4) (5,12) (22,10) (24,0) (32,14) (12,22) (7,22) (26,8) (14,29) (25,28) (0,20) (14,6) (24,9) (6,2) (11,29) (29,17) (1,12) (8,30) (23,30) (7,26) (18,27) (28,14) (14,13) (24,15) (3,20) (31,14) (30,27) (32,9) (14,16) (21,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph33", - "image": "data/cycle/graph_visual/Base/hard/graph33.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (4,22) (13,25) (23,12) (4,19) (6,19) (5,4) (14,17) (16,20) (1,3) (5,11) (19,9) (10,22) (8,17) (24,14) (5,12) (24,6) (21,6) (20,6) (0,6) (15,7) (3,4) (13,18) (4,7) (13,0) (23,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph294", - "image": "data/cycle/graph_visual/Base/hard/graph294.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (0,18) (24,7) (26,4) (20,18) (15,9) (21,26) (4,14) (27,10) (12,8) (10,2) (5,6) (23,4) (24,19) (12,27) (17,23) (12,5) (13,22) (10,23) (14,0) (1,12) (11,18) (21,7) (3,7) (24,22) (8,16) (0,25) (17,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1242", - "image": "data/cycle/graph_visual/Base/hard/graph1242.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (7,5) (17,22) (0,1) (7,11) (24,12) (23,8) (26,13) (18,19) (16,21) (0,3) (4,24) (13,23) (15,6) (18,6) (19,23) (4,0) (2,17) (6,3) (12,16) (9,19) (4,7) (6,27) (2,14) (1,12) (2,19) (0,2) (25,15) (5,10) (12,0) (21,22) (20,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph985", - "image": "data/cycle/graph_visual/Base/hard/graph985.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (30,32) (29,21) (2,32) (23,17) (22,33) (7,28) (10,12) (22,13) (10,25) (5,7) (7,3) (11,13) (20,4) (16,27) (19,7) (32,33) (6,19) (0,12) (16,17) (15,17) (28,9) (32,1) (28,24) (15,26) (20,29) (8,2) (9,26) (17,20) (31,0) (14,8) (10,34) (14,28) (0,27) (11,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1375", - "image": "data/cycle/graph_visual/Base/hard/graph1375.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (4,9) (12,8) (16,19) (1,0) (2,28) (18,6) (18,15) (26,12) (10,6) (4,7) (7,3) (6,16) (15,23) (6,28) (7,25) (12,21) (5,11) (25,15) (0,14) (14,24) (12,14) (1,2) (4,17) (2,12) (1,13) (20,22) (22,11) (27,26) (0,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1906", - "image": "data/cycle/graph_visual/Base/hard/graph1906.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (5,2) (8,24) (31,32) (22,18) (16,7) (33,32) (6,33) (2,15) (30,9) (1,33) (26,6) (1,0) (7,29) (4,33) (20,16) (3,27) (25,12) (17,28) (15,13) (20,3) (34,19) (20,21) (9,19) (8,13) (26,3) (14,9) (28,11) (23,1) (10,18) (29,12) (17,22) (14,21) (20,11) (0,29) (3,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph224", - "image": "data/cycle/graph_visual/Base/hard/graph224.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (13,10) (5,26) (16,8) (0,7) (9,22) (4,23) (3,24) (25,6) (18,27) (2,20) (4,27) (19,14) (4,8) (2,10) (14,5) (22,21) (24,13) (1,2) (21,10) (18,2) (17,11) (9,6) (27,7) (22,15) (0,19) (12,19) (27,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1031", - "image": "data/cycle/graph_visual/Base/hard/graph1031.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (5,10) (6,25) (13,9) (10,20) (22,18) (1,0) (15,1) (2,11) (21,15) (16,22) (12,14) (23,11) (25,17) (20,0) (17,4) (6,7) (2,12) (5,24) (10,9) (10,14) (5,3) (0,16) (25,22) (0,19) (15,11) (10,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1292", - "image": "data/cycle/graph_visual/Base/hard/graph1292.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (24,22) (2,25) (5,8) (23,22) (27,25) (23,9) (19,3) (4,12) (19,15) (22,13) (18,21) (11,5) (0,3) (7,12) (1,0) (6,23) (0,22) (14,17) (0,4) (2,1) (20,0) (19,4) (2,0) (7,10) (4,20) (16,11) (17,22) (26,10) (11,9) (25,22) (19,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph640", - "image": "data/cycle/graph_visual/Base/hard/graph640.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (30,10) (20,29) (2,24) (14,26) (11,19) (29,28) (9,23) (7,8) (5,26) (13,18) (28,27) (27,10) (10,25) (24,6) (31,17) (21,2) (4,24) (18,6) (5,17) (3,7) (29,1) (0,21) (8,4) (12,17) (22,5) (10,15) (21,23) (0,11) (14,13) (3,15) (16,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1046", - "image": "data/cycle/graph_visual/Base/hard/graph1046.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (17,20) (3,0) (19,25) (0,5) (16,11) (3,10) (20,1) (8,4) (22,23) (1,13) (24,21) (13,5) (21,15) (0,4) (23,1) (4,14) (16,7) (23,14) (17,16) (11,2) (7,19) (6,3) (24,8) (2,0) (24,9) (0,1) (18,1) (10,17) (25,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph983", - "image": "data/cycle/graph_visual/Base/hard/graph983.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (13,1) (33,11) (5,4) (2,12) (23,2) (27,7) (34,21) (6,21) (10,21) (20,19) (0,1) (8,19) (29,9) (14,3) (28,23) (7,6) (25,10) (5,6) (31,0) (14,8) (1,15) (11,26) (30,5) (5,32) (31,2) (20,29) (22,34) (33,16) (19,24) (18,31) (17,24) (5,19) (19,16) (12,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1729", - "image": "data/cycle/graph_visual/Base/hard/graph1729.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (22,20) (12,32) (2,0) (9,18) (1,31) (27,28) (4,25) (3,0) (27,30) (15,14) (30,8) (21,10) (21,4) (27,17) (14,21) (20,13) (15,7) (5,11) (31,0) (19,6) (26,21) (22,9) (12,6) (14,0) (29,5) (17,21) (27,6) (23,3) (22,23) (5,4) (12,24) (14,20) (16,5) (2,17) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1178", - "image": "data/cycle/graph_visual/Base/hard/graph1178.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (20,26) (14,23) (5,10) (22,2) (19,22) (24,17) (14,25) (6,11) (23,20) (15,21) (14,0) (4,18) (13,6) (24,0) (16,2) (23,9) (8,18) (5,6) (9,21) (12,5) (25,4) (21,5) (1,22) (26,7) (3,12) (22,24) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1947", - "image": "data/cycle/graph_visual/Base/hard/graph1947.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (27,32) (9,11) (5,11) (1,0) (3,0) (24,3) (26,2) (9,6) (14,24) (2,0) (28,16) (34,17) (3,33) (14,5) (25,34) (13,22) (34,12) (1,5) (27,12) (15,30) (18,24) (5,32) (29,14) (20,23) (2,14) (2,16) (19,24) (0,29) (22,25) (27,20) (32,21) (10,19) (30,32) (0,31) (8,5) (4,12) (7,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1719", - "image": "data/cycle/graph_visual/Base/hard/graph1719.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (7,30) (1,4) (5,14) (15,2) (23,27) (22,11) (17,14) (26,29) (22,13) (26,12) (20,3) (9,31) (1,27) (21,20) (3,0) (8,0) (11,16) (3,7) (9,32) (25,19) (8,11) (17,3) (19,28) (25,11) (5,15) (10,7) (16,1) (0,2) (11,12) (0,1) (21,16) (18,20) (19,32) (24,3) (28,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph382", - "image": "data/cycle/graph_visual/Base/hard/graph382.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (12,14) (8,28) (0,20) (24,13) (11,18) (21,1) (16,10) (8,3) (4,22) (23,25) (1,27) (6,1) (14,11) (5,25) (15,16) (0,14) (26,13) (12,17) (0,7) (26,20) (17,1) (4,5) (28,2) (23,9) (19,13) (7,2) (11,5) (15,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1546", - "image": "data/cycle/graph_visual/Base/hard/graph1546.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (26,30) (21,20) (0,2) (6,0) (22,15) (9,4) (17,10) (2,3) (5,16) (3,30) (24,6) (23,6) (23,8) (0,13) (12,27) (14,24) (6,19) (4,28) (5,12) (1,3) (18,4) (6,29) (19,11) (5,26) (14,20) (1,0) (17,7) (3,0) (22,13) (4,19) (13,7) (25,4) (7,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1917", - "image": "data/cycle/graph_visual/Base/hard/graph1917.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (33,21) (6,21) (34,5) (8,4) (0,1) (9,20) (9,30) (2,0) (3,8) (11,32) (13,1) (32,25) (18,3) (4,27) (14,24) (27,12) (32,26) (13,14) (10,8) (0,4) (1,4) (18,21) (15,17) (31,32) (22,6) (0,3) (15,6) (28,9) (19,7) (34,17) (10,31) (29,13) (27,30) (10,19) (23,31) (20,0) (8,2) (12,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph891", - "image": "data/cycle/graph_visual/Base/hard/graph891.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (20,27) (7,32) (30,23) (33,15) (29,23) (22,8) (10,31) (3,12) (16,5) (12,9) (20,9) (1,15) (18,32) (29,8) (4,20) (27,28) (22,2) (1,6) (6,28) (10,2) (19,3) (16,17) (26,33) (11,0) (25,1) (32,21) (24,12) (32,24) (5,12) (1,22) (13,9) (12,14) (16,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph280", - "image": "data/cycle/graph_visual/Base/hard/graph280.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (16,20) (6,16) (22,25) (1,21) (19,1) (12,8) (19,7) (14,26) (14,24) (8,18) (0,23) (11,26) (4,26) (16,11) (6,17) (0,10) (2,8) (6,2) (19,6) (25,9) (5,16) (15,24) (16,22) (10,3) (0,26) (13,4) (24,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph638", - "image": "data/cycle/graph_visual/Base/hard/graph638.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (2,25) (8,5) (21,5) (17,0) (20,30) (26,12) (22,12) (11,21) (9,29) (6,11) (27,23) (2,17) (24,13) (24,23) (25,20) (30,5) (0,31) (15,16) (8,14) (5,29) (15,10) (18,5) (14,7) (1,25) (16,24) (13,9) (28,11) (13,26) (24,3) (31,19) (4,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1486", - "image": "data/cycle/graph_visual/Base/hard/graph1486.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (3,10) (2,0) (22,16) (19,11) (18,23) (0,4) (7,15) (23,16) (16,1) (9,4) (10,27) (10,26) (28,12) (8,6) (17,0) (28,15) (1,0) (28,22) (24,25) (2,5) (1,20) (26,1) (24,17) (29,25) (6,4) (0,19) (0,3) (29,2) (3,21) (22,9) (7,13) (11,15) (14,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph591", - "image": "data/cycle/graph_visual/Base/hard/graph591.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (25,13) (9,5) (7,28) (8,24) (10,17) (9,22) (15,14) (29,0) (3,4) (14,11) (21,22) (21,13) (27,19) (2,20) (2,16) (10,16) (21,26) (4,14) (12,8) (4,26) (12,25) (6,19) (23,21) (29,20) (24,10) (18,3) (3,1) (12,7) (12,30) (22,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1827", - "image": "data/cycle/graph_visual/Base/hard/graph1827.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (2,23) (0,26) (7,29) (24,8) (31,22) (15,5) (29,21) (14,23) (13,26) (31,3) (15,6) (28,20) (17,18) (9,6) (18,19) (4,0) (0,3) (3,12) (1,29) (5,33) (25,4) (19,14) (26,24) (21,32) (16,15) (12,10) (30,19) (19,11) (0,1) (25,9) (27,5) (4,1) (24,15) (21,14) (5,0) (28,21) (2,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1792", - "image": "data/cycle/graph_visual/Base/hard/graph1792.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (16,2) (25,30) (7,25) (26,1) (29,25) (25,13) (5,12) (11,6) (2,0) (29,1) (2,6) (17,20) (3,0) (13,18) (12,17) (27,8) (0,1) (5,1) (12,14) (23,28) (9,21) (1,15) (22,26) (18,8) (4,11) (16,14) (0,4) (32,27) (9,5) (12,24) (3,30) (10,7) (28,5) (19,13) (0,31)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph588", - "image": "data/cycle/graph_visual/Base/hard/graph588.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (28,23) (10,0) (19,2) (18,9) (25,28) (21,25) (2,16) (0,3) (9,24) (27,9) (6,13) (3,22) (25,8) (30,3) (27,20) (19,29) (1,28) (11,8) (0,15) (8,5) (15,17) (9,13) (1,20) (23,30) (2,12) (2,4) (8,4) (15,7) (23,26) (10,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1347", - "image": "data/cycle/graph_visual/Base/hard/graph1347.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (4,27) (7,21) (9,5) (26,2) (1,0) (22,2) (21,27) (14,0) (21,11) (9,6) (9,20) (2,16) (4,28) (14,12) (19,1) (12,23) (21,17) (2,13) (7,1) (19,23) (6,18) (27,26) (3,0) (15,8) (3,14) (23,25) (2,0) (9,26) (15,2) (8,10) (24,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph158", - "image": "data/cycle/graph_visual/Base/hard/graph158.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (14,12) (4,5) (21,25) (4,19) (1,25) (26,2) (11,5) (22,13) (9,16) (18,1) (20,0) (5,23) (26,13) (1,6) (15,10) (1,17) (11,14) (12,17) (8,3) (20,24) (14,0) (15,11) (8,23) (13,16) (7,0) (7,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph126", - "image": "data/cycle/graph_visual/Base/hard/graph126.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (11,8) (2,23) (7,11) (24,10) (16,4) (25,16) (25,0) (2,8) (19,1) (5,13) (3,26) (21,0) (8,4) (18,24) (20,13) (10,11) (9,10) (26,0) (3,6) (1,22) (10,20) (17,10) (12,15) (14,21) (6,12) (22,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph901", - "image": "data/cycle/graph_visual/Base/hard/graph901.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (10,21) (20,13) (31,15) (18,33) (29,22) (1,27) (2,31) (26,10) (19,4) (11,23) (18,21) (28,20) (13,6) (3,11) (27,9) (25,8) (11,34) (0,32) (16,22) (12,18) (11,5) (22,17) (25,18) (8,9) (24,21) (31,21) (30,5) (7,20) (14,1) (23,20) (29,0) (28,21) (4,25) (1,32)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1328", - "image": "data/cycle/graph_visual/Base/hard/graph1328.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (14,7) (12,11) (9,13) (4,18) (8,0) (12,26) (25,23) (28,21) (16,7) (26,18) (24,0) (10,15) (5,23) (6,19) (1,2) (19,16) (28,27) (0,1) (22,12) (9,15) (12,3) (5,16) (20,13) (1,11) (27,0) (28,20) (19,11) (20,3) (2,0) (17,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1696", - "image": "data/cycle/graph_visual/Base/hard/graph1696.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (23,3) (4,24) (5,9) (31,16) (7,26) (9,6) (10,31) (17,11) (1,27) (3,4) (6,14) (12,29) (11,24) (3,31) (20,27) (22,11) (1,0) (6,25) (27,9) (0,2) (18,2) (7,24) (23,19) (28,8) (29,17) (1,18) (6,10) (24,8) (29,15) (25,21) (0,3) (3,30) (13,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1218", - "image": "data/cycle/graph_visual/Base/hard/graph1218.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (13,11) (24,25) (24,27) (3,14) (13,8) (16,7) (1,8) (9,18) (0,3) (20,5) (12,16) (22,16) (2,0) (3,4) (5,14) (15,12) (17,11) (13,0) (27,17) (1,0) (4,0) (26,0) (16,6) (21,9) (6,14) (8,23) (18,19) (15,2) (15,10) (2,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph365", - "image": "data/cycle/graph_visual/Base/hard/graph365.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (11,0) (13,11) (12,3) (10,27) (26,24) (23,17) (16,18) (22,9) (28,8) (25,12) (5,7) (15,11) (14,13) (27,19) (26,7) (1,19) (6,17) (8,2) (0,4) (12,21) (28,4) (16,5) (12,7) (0,18) (17,20) (24,17) (11,22) (12,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph372", - "image": "data/cycle/graph_visual/Base/hard/graph372.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (4,19) (10,26) (18,10) (21,15) (8,16) (17,4) (14,12) (14,6) (8,22) (11,19) (6,20) (23,27) (0,9) (14,16) (2,23) (17,25) (1,15) (12,28) (1,7) (23,11) (21,13) (27,15) (0,16) (17,24) (24,26) (5,24) (24,22) (3,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph351", - "image": "data/cycle/graph_visual/Base/hard/graph351.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (14,28) (10,28) (9,5) (22,15) (14,19) (12,13) (24,1) (0,3) (4,23) (19,7) (15,28) (18,24) (0,25) (8,6) (2,3) (22,2) (14,8) (26,17) (26,7) (21,0) (12,16) (16,11) (11,4) (23,6) (13,9) (20,2) (0,27) (18,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph905", - "image": "data/cycle/graph_visual/Base/hard/graph905.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (12,8) (10,23) (11,34) (34,30) (21,13) (7,33) (31,13) (12,9) (16,32) (26,2) (25,8) (0,33) (17,22) (32,30) (24,26) (34,9) (15,1) (4,7) (8,3) (6,19) (28,20) (29,3) (25,20) (7,17) (21,34) (16,27) (19,26) (18,14) (5,32) (1,23) (18,11) (24,15) (26,5) (4,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph257", - "image": "data/cycle/graph_visual/Base/hard/graph257.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (27,14) (24,0) (20,19) (8,10) (27,24) (0,11) (17,16) (26,22) (13,26) (3,16) (26,7) (23,10) (13,14) (26,9) (24,4) (2,15) (2,22) (23,21) (16,25) (5,0) (12,23) (6,17) (9,20) (12,3) (3,26) (18,23) (1,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph603", - "image": "data/cycle/graph_visual/Base/hard/graph603.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (19,13) (16,26) (31,12) (29,18) (7,27) (15,10) (11,14) (28,10) (15,12) (21,31) (19,16) (12,6) (12,23) (31,8) (4,21) (29,23) (13,30) (25,12) (16,24) (28,3) (22,18) (30,17) (11,15) (7,2) (9,31) (11,20) (1,11) (20,7) (0,16) (5,15) (21,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph505", - "image": "data/cycle/graph_visual/Base/hard/graph505.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (6,12) (16,15) (11,18) (0,26) (28,3) (25,2) (2,27) (12,27) (4,17) (17,18) (28,1) (19,18) (7,14) (7,20) (22,25) (16,4) (10,20) (29,30) (0,4) (2,5) (25,10) (1,26) (26,20) (24,0) (23,1) (29,17) (18,9) (21,30) (28,13) (8,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph766", - "image": "data/cycle/graph_visual/Base/hard/graph766.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (11,30) (26,1) (21,13) (29,18) (11,32) (9,25) (12,25) (2,7) (6,26) (3,8) (0,12) (31,17) (10,8) (12,24) (0,32) (9,13) (6,4) (26,20) (15,29) (16,8) (12,8) (27,1) (28,14) (4,15) (5,11) (28,8) (26,19) (10,23) (8,20) (22,13) (14,17) (14,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1795", - "image": "data/cycle/graph_visual/Base/hard/graph1795.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (32,30) (0,1) (3,0) (25,3) (6,31) (14,9) (10,32) (15,2) (0,29) (1,8) (28,17) (18,5) (3,8) (13,15) (28,7) (19,10) (13,8) (26,6) (16,7) (20,16) (29,9) (11,27) (21,14) (1,23) (3,20) (0,2) (11,20) (12,24) (22,17) (26,3) (22,18) (29,12) (19,9) (4,2) (20,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1037", - "image": "data/cycle/graph_visual/Base/hard/graph1037.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (15,21) (13,15) (2,11) (10,11) (6,3) (1,4) (15,22) (20,4) (7,16) (1,0) (7,17) (23,7) (9,24) (5,14) (19,12) (14,8) (25,22) (23,3) (22,18) (2,4) (6,0) (13,5) (0,11) (5,9) (15,19) (23,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph172", - "image": "data/cycle/graph_visual/Base/hard/graph172.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (24,1) (12,5) (1,6) (0,25) (8,18) (22,2) (2,25) (4,0) (14,4) (1,26) (17,16) (23,10) (25,18) (10,20) (7,20) (1,19) (18,15) (0,21) (18,11) (7,12) (9,17) (17,4) (20,26) (13,16) (3,2) (26,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1397", - "image": "data/cycle/graph_visual/Base/hard/graph1397.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (13,2) (4,27) (2,0) (12,23) (21,7) (4,28) (8,10) (18,6) (21,27) (2,26) (3,0) (16,2) (14,0) (8,15) (0,1) (21,11) (22,2) (9,26) (14,3) (24,20) (23,25) (23,19) (1,7) (9,20) (15,2) (1,19) (26,27) (17,21) (12,14) (6,9) (5,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1976", - "image": "data/cycle/graph_visual/Base/hard/graph1976.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (13,26) (19,18) (27,5) (15,16) (9,6) (28,19) (19,14) (29,1) (0,26) (1,4) (19,11) (2,23) (22,31) (28,20) (21,5) (10,12) (3,31) (34,21) (30,34) (3,12) (15,34) (23,14) (3,0) (24,8) (32,21) (14,21) (0,1) (29,7) (4,25) (15,24) (0,2) (25,9) (18,17) (33,29) (6,15) (24,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1574", - "image": "data/cycle/graph_visual/Base/hard/graph1574.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (28,8) (18,7) (20,25) (6,0) (11,25) (15,23) (22,24) (4,21) (16,1) (0,19) (28,1) (0,1) (23,21) (14,10) (0,3) (4,27) (10,3) (5,17) (7,11) (11,22) (2,30) (12,29) (7,30) (9,6) (0,2) (0,4) (22,14) (11,8) (16,13) (3,27) (8,12) (29,5) (26,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph443", - "image": "data/cycle/graph_visual/Base/hard/graph443.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (26,24) (22,11) (17,23) (17,6) (12,7) (13,11) (5,7) (9,22) (27,7) (12,25) (2,8) (19,1) (24,17) (0,18) (14,13) (26,29) (15,11) (27,10) (8,28) (5,16) (18,16) (17,20) (11,0) (12,21) (4,0) (1,12) (12,3) (4,29) (19,28)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph493", - "image": "data/cycle/graph_visual/Base/hard/graph493.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (8,11) (24,5) (16,7) (29,6) (7,1) (0,12) (4,15) (25,9) (1,27) (23,9) (7,10) (13,9) (20,15) (24,25) (17,16) (19,12) (12,17) (14,3) (3,8) (24,28) (26,3) (11,17) (26,5) (23,18) (21,2) (29,22) (4,2) (6,8) (0,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph330", - "image": "data/cycle/graph_visual/Base/hard/graph330.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (7,26) (16,27) (8,2) (5,9) (9,6) (22,21) (23,10) (4,3) (25,12) (23,13) (0,2) (24,20) (15,17) (12,26) (10,12) (16,12) (28,20) (17,13) (14,23) (5,18) (23,4) (9,2) (6,1) (11,2) (17,24) (21,15) (23,11) (19,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1632", - "image": "data/cycle/graph_visual/Base/hard/graph1632.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (8,25) (0,1) (11,29) (20,9) (30,15) (13,1) (14,23) (31,24) (18,25) (5,21) (25,26) (15,0) (0,2) (18,23) (1,4) (6,11) (28,17) (2,19) (30,13) (3,27) (16,17) (17,12) (24,21) (5,9) (16,1) (10,12) (22,4) (3,14) (6,16) (7,6) (10,19) (5,23) (19,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph518", - "image": "data/cycle/graph_visual/Base/hard/graph518.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (12,8) (24,17) (7,19) (20,8) (6,16) (0,25) (16,22) (6,18) (19,6) (11,30) (24,4) (14,24) (29,28) (22,27) (10,0) (26,29) (16,21) (4,11) (25,9) (11,16) (26,14) (1,19) (2,8) (26,15) (0,26) (2,6) (10,3) (13,4) (16,5) (23,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph316", - "image": "data/cycle/graph_visual/Base/hard/graph316.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (8,14) (13,17) (5,18) (4,21) (13,27) (4,19) (10,24) (23,27) (12,24) (1,0) (15,25) (9,2) (10,11) (8,0) (3,25) (17,28) (25,6) (23,22) (26,11) (15,18) (21,24) (6,23) (15,8) (16,1) (7,26) (20,18) (24,0) (2,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph70", - "image": "data/cycle/graph_visual/Base/hard/graph70.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (11,23) (12,6) (7,11) (11,3) (2,25) (18,4) (22,21) (14,9) (20,1) (2,17) (8,13) (19,15) (22,24) (13,15) (0,24) (1,10) (12,1) (9,23) (25,24) (5,1) (6,15) (11,0) (18,17) (25,20) (16,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph614", - "image": "data/cycle/graph_visual/Base/hard/graph614.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (24,2) (12,17) (13,18) (18,6) (20,29) (21,2) (9,23) (3,15) (4,8) (26,14) (3,7) (5,22) (21,0) (24,4) (10,27) (30,10) (5,17) (28,27) (0,11) (8,7) (21,23) (13,14) (15,10) (26,5) (19,11) (24,6) (29,28) (25,10) (8,16) (1,29) (31,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph88", - "image": "data/cycle/graph_visual/Base/hard/graph88.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (4,5) (5,3) (2,7) (8,20) (8,21) (22,15) (23,15) (1,18) (13,11) (5,11) (0,24) (12,9) (17,5) (7,14) (24,10) (0,16) (5,20) (6,2) (9,21) (0,3) (5,18) (16,15) (19,0) (14,16) (25,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1641", - "image": "data/cycle/graph_visual/Base/hard/graph1641.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (15,2) (26,6) (1,23) (6,30) (13,8) (26,3) (17,28) (27,11) (10,31) (13,15) (4,0) (0,3) (21,20) (4,2) (14,21) (22,18) (10,19) (29,9) (16,7) (12,24) (29,12) (3,20) (0,29) (20,11) (19,9) (3,25) (16,20) (5,18) (7,28) (22,17) (9,14) (1,8) (3,8) (1,0) (0,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph530", - "image": "data/cycle/graph_visual/Base/hard/graph530.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (11,28) (26,13) (17,8) (13,18) (2,18) (6,30) (29,14) (19,25) (17,2) (20,13) (20,23) (20,16) (0,24) (15,26) (15,30) (7,8) (1,4) (25,5) (16,0) (29,8) (7,5) (9,21) (2,22) (9,28) (25,10) (17,11) (10,3) (1,0) (12,29) (23,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1221", - "image": "data/cycle/graph_visual/Base/hard/graph1221.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (22,12) (17,7) (24,10) (22,1) (18,19) (13,24) (12,17) (26,4) (8,6) (3,5) (3,10) (19,2) (0,1) (9,14) (27,23) (21,18) (0,6) (7,24) (19,27) (27,14) (11,15) (20,21) (27,25) (17,26) (7,6) (11,18) (24,21) (7,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph809", - "image": "data/cycle/graph_visual/Base/hard/graph809.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (18,4) (26,33) (24,28) (12,31) (1,15) (0,4) (2,1) (5,7) (12,23) (26,29) (28,27) (14,16) (9,22) (2,6) (21,22) (13,26) (18,22) (31,5) (14,26) (19,27) (32,17) (25,11) (21,26) (28,6) (17,19) (33,30) (32,14) (10,14) (25,10) (5,20) (27,12) (8,32) (22,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1233", - "image": "data/cycle/graph_visual/Base/hard/graph1233.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (12,17) (21,9) (6,5) (8,23) (2,26) (0,3) (6,21) (4,20) (20,1) (13,18) (4,19) (22,6) (11,23) (0,17) (3,9) (24,21) (3,10) (15,12) (0,1) (14,27) (15,22) (16,8) (1,13) (23,7) (0,2) (7,26) (20,12) (23,27) (25,24) (0,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph425", - "image": "data/cycle/graph_visual/Base/hard/graph425.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (12,11) (9,27) (0,3) (18,27) (6,28) (1,6) (14,20) (21,12) (14,25) (24,15) (16,6) (19,13) (24,29) (13,9) (20,10) (23,28) (22,25) (23,7) (1,17) (8,14) (5,6) (0,15) (4,6) (2,18) (26,8) (9,11) (15,6) (3,18) (19,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1170", - "image": "data/cycle/graph_visual/Base/hard/graph1170.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (11,2) (6,14) (5,22) (23,12) (9,21) (11,0) (17,20) (16,0) (12,7) (8,4) (15,18) (1,6) (19,8) (5,26) (3,26) (0,1) (10,12) (11,20) (2,21) (9,25) (0,24) (7,6) (21,8) (23,22) (0,13) (18,25) (0,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1625", - "image": "data/cycle/graph_visual/Base/hard/graph1625.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (14,24) (26,8) (1,28) (0,1) (28,15) (4,8) (22,27) (24,11) (21,3) (28,14) (17,18) (2,0) (29,2) (28,9) (13,19) (20,0) (5,24) (1,7) (4,13) (30,6) (21,11) (25,19) (16,0) (22,20) (30,15) (31,18) (23,14) (29,21) (9,10) (1,27) (12,10) (22,18) (19,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1775", - "image": "data/cycle/graph_visual/Base/hard/graph1775.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (15,17) (29,21) (1,32) (0,1) (13,22) (7,5) (6,19) (32,25) (10,20) (11,18) (14,28) (23,28) (4,20) (8,14) (7,28) (29,0) (13,11) (27,16) (20,17) (12,0) (16,17) (3,7) (3,0) (9,28) (4,0) (8,2) (27,0) (2,0) (19,7) (17,22) (10,24) (9,26) (32,30) (15,26) (12,32) (31,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph154", - "image": "data/cycle/graph_visual/Base/hard/graph154.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (1,19) (26,20) (17,9) (4,14) (25,2) (13,16) (0,25) (1,24) (9,26) (25,18) (1,6) (4,17) (16,17) (15,18) (20,10) (21,0) (4,0) (11,18) (2,3) (7,12) (7,20) (18,8) (10,23) (12,5) (1,26) (2,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph841", - "image": "data/cycle/graph_visual/Base/hard/graph841.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (2,17) (15,24) (6,1) (20,6) (7,26) (4,25) (23,22) (10,15) (0,33) (23,18) (3,29) (16,17) (9,28) (13,17) (27,14) (20,5) (31,0) (10,8) (26,24) (25,1) (5,16) (12,23) (10,14) (22,11) (24,3) (9,32) (23,14) (11,13) (23,21) (33,30) (19,25) (8,28) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1365", - "image": "data/cycle/graph_visual/Base/hard/graph1365.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (19,16) (17,11) (8,6) (5,20) (16,5) (20,13) (2,6) (19,10) (27,22) (7,26) (23,1) (15,18) (1,12) (0,1) (6,25) (0,23) (9,13) (15,1) (21,19) (7,23) (24,17) (4,24) (28,25) (13,23) (3,21) (27,6) (13,22) (4,14) (21,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph237", - "image": "data/cycle/graph_visual/Base/hard/graph237.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (20,22) (7,27) (8,25) (5,16) (17,0) (13,23) (0,1) (8,11) (15,1) (5,7) (7,11) (4,27) (3,10) (0,6) (10,14) (16,9) (12,26) (11,21) (12,8) (7,23) (14,22) (1,25) (22,11) (19,4) (3,24) (6,2) (18,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1060", - "image": "data/cycle/graph_visual/Base/hard/graph1060.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (24,20) (12,5) (25,10) (13,22) (17,24) (8,12) (2,0) (17,9) (23,10) (2,10) (12,23) (24,4) (0,1) (21,0) (0,18) (15,9) (7,22) (4,14) (3,7) (19,18) (3,0) (0,14) (12,1) (6,5) (21,7) (4,23) (8,16) (11,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph747", - "image": "data/cycle/graph_visual/Base/hard/graph747.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (11,2) (5,13) (2,9) (21,26) (13,27) (6,8) (30,2) (12,28) (4,29) (22,18) (18,17) (31,0) (3,23) (12,1) (20,16) (4,28) (25,14) (6,25) (3,6) (11,19) (23,24) (8,19) (22,15) (16,28) (12,10) (18,19) (7,12) (18,31) (11,32) (26,0) (30,13) (28,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph327", - "image": "data/cycle/graph_visual/Base/hard/graph327.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (25,5) (26,2) (23,6) (17,27) (1,8) (17,2) (7,24) (12,27) (4,28) (0,13) (8,21) (7,20) (9,3) (13,4) (15,5) (23,20) (9,23) (27,22) (25,11) (16,20) (19,21) (4,21) (27,6) (7,18) (21,10) (5,4) (0,9) (14,28)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1791", - "image": "data/cycle/graph_visual/Base/hard/graph1791.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (22,11) (11,27) (12,17) (3,0) (1,0) (3,7) (25,10) (29,19) (25,15) (10,2) (32,14) (27,16) (10,9) (0,28) (18,24) (5,29) (7,11) (28,26) (4,1) (25,31) (19,15) (0,30) (21,17) (4,26) (23,0) (17,13) (20,31) (2,0) (14,28) (9,23) (2,13) (18,2) (6,7) (8,26) (31,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1327", - "image": "data/cycle/graph_visual/Base/hard/graph1327.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (5,15) (26,4) (6,0) (3,1) (7,13) (5,12) (4,24) (5,26) (17,9) (13,21) (0,13) (22,11) (16,7) (0,3) (2,7) (6,27) (12,25) (23,3) (20,18) (19,10) (2,28) (4,8) (19,4) (23,6) (6,22) (24,14) (20,14) (0,1) (2,0) (17,4) (19,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph824", - "image": "data/cycle/graph_visual/Base/hard/graph824.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (21,2) (1,15) (29,2) (32,1) (17,25) (15,8) (17,22) (20,22) (13,26) (2,32) (7,20) (22,5) (4,0) (25,3) (14,31) (26,10) (12,32) (27,24) (8,6) (4,16) (18,14) (33,16) (26,3) (29,9) (19,3) (9,30) (7,11) (28,17) (20,24) (27,6) (4,13) (25,23) (18,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1927", - "image": "data/cycle/graph_visual/Base/hard/graph1927.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (14,1) (34,11) (16,22) (20,23) (18,21) (0,4) (1,32) (18,33) (25,18) (0,1) (6,13) (10,26) (28,20) (31,21) (8,9) (24,21) (11,23) (31,2) (7,20) (0,32) (11,3) (31,15) (11,5) (19,4) (0,3) (21,28) (21,10) (8,25) (25,4) (1,27) (12,18) (2,0) (5,30) (22,17) (13,20) (22,29) (0,29) (27,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1271", - "image": "data/cycle/graph_visual/Base/hard/graph1271.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (17,13) (2,10) (18,11) (0,10) (1,26) (13,23) (1,6) (27,18) (16,20) (7,25) (19,1) (22,13) (5,4) (2,24) (13,1) (12,26) (16,6) (17,2) (17,14) (1,0) (7,2) (18,26) (20,8) (4,12) (11,3) (2,21) (9,1) (15,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph304", - "image": "data/cycle/graph_visual/Base/hard/graph304.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (14,15) (25,16) (3,17) (13,16) (1,8) (6,20) (18,24) (8,14) (2,23) (22,5) (26,9) (10,7) (23,12) (4,14) (14,23) (17,27) (3,2) (21,1) (7,9) (19,5) (21,20) (13,11) (4,0) (28,26) (10,6) (22,12) (3,25) (11,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1385", - "image": "data/cycle/graph_visual/Base/hard/graph1385.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (10,26) (8,5) (22,17) (23,6) (22,25) (10,7) (25,2) (3,19) (22,24) (12,27) (11,16) (4,19) (11,5) (21,19) (23,22) (22,13) (0,2) (0,1) (25,7) (19,15) (4,12) (4,0) (2,1) (28,7) (14,17) (11,9) (21,18) (20,4) (0,20) (0,22) (9,23) (3,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1965", - "image": "data/cycle/graph_visual/Base/hard/graph1965.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (4,25) (28,20) (2,0) (15,24) (27,5) (32,21) (13,26) (19,18) (0,3) (29,33) (15,16) (4,0) (34,21) (14,19) (21,14) (23,2) (23,14) (17,18) (30,34) (25,9) (24,8) (6,9) (0,26) (5,21) (34,15) (24,26) (3,12) (15,6) (19,11) (1,29) (1,4) (31,3) (28,19) (22,31) (10,12) (1,0) (7,29)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph783", - "image": "data/cycle/graph_visual/Base/hard/graph783.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (29,6) (17,0) (14,32) (10,13) (19,25) (4,15) (2,11) (3,4) (29,23) (13,5) (30,24) (29,0) (10,16) (28,20) (31,10) (21,19) (16,18) (10,11) (20,5) (0,32) (1,7) (1,25) (9,22) (30,21) (30,26) (1,27) (7,22) (8,19) (23,21) (11,15) (12,10) (28,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1299", - "image": "data/cycle/graph_visual/Base/hard/graph1299.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (7,13) (11,12) (15,8) (26,14) (1,0) (17,10) (12,6) (21,18) (17,4) (6,1) (9,15) (25,17) (3,0) (16,10) (22,12) (0,4) (14,3) (0,2) (20,10) (6,23) (23,18) (14,7) (19,2) (15,1) (17,2) (24,23) (5,9) (15,25) (0,5) (16,27) (19,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph717", - "image": "data/cycle/graph_visual/Base/hard/graph717.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (29,20) (12,14) (18,13) (7,6) (22,17) (15,1) (13,4) (31,2) (32,9) (23,30) (27,2) (9,26) (21,18) (10,16) (28,25) (23,4) (10,20) (8,1) (7,3) (11,21) (3,16) (14,10) (18,27) (24,0) (9,6) (24,19) (0,15) (17,24) (28,9) (5,24) (7,1) (8,30)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph925", - "image": "data/cycle/graph_visual/Base/hard/graph925.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (18,32) (13,18) (7,13) (6,7) (23,29) (13,0) (2,24) (3,11) (31,16) (27,6) (27,34) (28,15) (9,26) (23,24) (7,1) (8,29) (17,21) (19,20) (33,30) (9,2) (5,30) (19,12) (34,8) (14,22) (3,4) (28,6) (25,34) (4,22) (17,23) (19,16) (10,5) (4,1) (11,31) (32,33)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph681", - "image": "data/cycle/graph_visual/Base/hard/graph681.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (22,29) (24,11) (28,14) (4,29) (5,23) (1,29) (10,28) (22,9) (3,16) (3,26) (0,31) (15,2) (5,6) (11,20) (1,2) (13,17) (19,12) (27,14) (30,12) (5,3) (24,22) (25,9) (19,21) (30,1) (13,12) (26,19) (24,8) (11,18) (8,7) (10,2) (20,31)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph646", - "image": "data/cycle/graph_visual/Base/hard/graph646.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (14,1) (13,18) (15,27) (14,19) (10,0) (11,6) (20,7) (12,4) (18,11) (7,23) (31,19) (4,23) (22,3) (30,9) (20,8) (28,10) (30,5) (18,30) (13,4) (26,16) (17,2) (3,29) (15,17) (20,15) (25,17) (21,19) (27,24) (28,7) (17,31) (20,3) (20,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph639", - "image": "data/cycle/graph_visual/Base/hard/graph639.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (11,28) (17,14) (4,18) (29,9) (21,2) (3,18) (26,7) (18,1) (19,16) (13,21) (25,28) (23,27) (29,14) (6,28) (14,25) (8,10) (2,16) (8,7) (30,12) (28,30) (30,31) (23,14) (24,10) (12,20) (23,22) (27,15) (29,4) (5,14) (0,26) (16,7) (8,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1776", - "image": "data/cycle/graph_visual/Base/hard/graph1776.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (16,24) (17,28) (3,22) (0,2) (19,10) (5,7) (1,0) (11,30) (6,5) (28,27) (13,11) (23,31) (27,15) (13,3) (31,5) (0,14) (21,1) (27,22) (23,13) (8,12) (29,14) (4,18) (22,18) (20,0) (32,1) (2,23) (19,8) (25,26) (1,26) (24,6) (29,2) (32,23) (1,9) (12,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph203", - "image": "data/cycle/graph_visual/Base/hard/graph203.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (20,4) (22,17) (25,22) (12,7) (14,17) (12,4) (16,11) (21,18) (4,19) (15,19) (22,24) (6,23) (10,7) (22,23) (11,5) (9,11) (19,3) (13,22) (10,26) (23,9) (25,2) (0,20) (25,27) (8,5) (22,0) (1,2) (21,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph654", - "image": "data/cycle/graph_visual/Base/hard/graph654.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (18,11) (6,3) (2,11) (10,12) (12,7) (13,30) (15,22) (24,23) (3,23) (16,20) (0,31) (12,1) (21,26) (28,4) (6,8) (28,16) (13,27) (31,19) (17,18) (29,4) (28,24) (25,14) (13,5) (8,19) (22,18) (0,26) (2,30) (2,9) (19,18) (25,6) (12,28)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1773", - "image": "data/cycle/graph_visual/Base/hard/graph1773.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (10,12) (9,2) (28,26) (13,0) (4,25) (4,29) (4,0) (2,19) (21,32) (4,32) (32,18) (27,6) (4,30) (7,17) (10,29) (22,26) (2,0) (16,13) (31,25) (24,1) (30,8) (7,12) (6,24) (6,22) (3,0) (15,27) (0,5) (30,23) (16,6) (1,0) (14,2) (20,19) (12,22) (11,20) (11,22) (19,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1748", - "image": "data/cycle/graph_visual/Base/hard/graph1748.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (12,7) (0,26) (5,13) (19,8) (28,4) (32,11) (2,30) (0,31) (13,30) (12,1) (18,17) (29,4) (25,14) (12,28) (15,22) (2,11) (27,13) (18,19) (31,18) (24,23) (16,28) (25,6) (8,6) (21,26) (28,24) (3,23) (10,12) (1,0) (11,19) (9,2) (0,2) (20,16) (3,6) (18,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph755", - "image": "data/cycle/graph_visual/Base/hard/graph755.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (11,8) (14,31) (5,9) (16,22) (18,3) (11,19) (18,13) (8,29) (25,0) (9,17) (28,27) (16,2) (17,0) (1,27) (7,32) (27,30) (4,21) (7,20) (23,27) (14,22) (16,5) (27,20) (26,28) (14,10) (23,31) (1,18) (4,13) (12,9) (14,15) (8,16) (11,6) (8,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph260", - "image": "data/cycle/graph_visual/Base/hard/graph260.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (16,21) (15,18) (9,15) (5,25) (24,21) (25,24) (19,5) (3,1) (14,8) (8,22) (6,8) (9,14) (3,10) (27,26) (0,5) (22,3) (15,20) (7,12) (10,11) (5,27) (23,6) (20,17) (16,10) (6,7) (13,15) (21,2) (14,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1026", - "image": "data/cycle/graph_visual/Base/hard/graph1026.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (5,6) (23,8) (7,23) (1,6) (25,14) (21,12) (19,24) (1,0) (18,2) (4,6) (5,0) (16,6) (22,25) (14,20) (6,25) (13,9) (10,20) (15,6) (8,14) (11,12) (0,3) (13,19) (18,9) (0,2) (3,18) (0,15) (1,17) (11,9) (4,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph404", - "image": "data/cycle/graph_visual/Base/hard/graph404.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (13,20) (2,29) (11,19) (24,4) (0,23) (1,15) (6,3) (17,12) (14,1) (10,13) (22,13) (23,7) (18,24) (21,26) (13,23) (19,16) (5,16) (6,27) (28,7) (19,21) (4,17) (6,25) (23,1) (9,6) (24,15) (25,29) (8,21) (20,5) (27,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1349", - "image": "data/cycle/graph_visual/Base/hard/graph1349.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (25,17) (27,7) (10,2) (9,11) (22,6) (13,4) (12,1) (20,28) (17,9) (20,25) (0,2) (13,1) (20,19) (27,3) (14,8) (25,15) (9,5) (11,4) (23,5) (0,1) (15,0) (14,4) (24,2) (15,6) (18,1) (27,6) (21,6) (26,2) (1,26) (12,16) (3,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1712", - "image": "data/cycle/graph_visual/Base/hard/graph1712.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (4,0) (7,11) (0,3) (2,23) (19,22) (14,8) (15,1) (5,30) (19,5) (4,5) (0,31) (0,1) (16,31) (21,6) (0,5) (7,6) (27,20) (19,8) (2,12) (12,5) (11,25) (17,24) (13,1) (32,21) (6,5) (16,19) (10,24) (5,28) (18,31) (26,23) (19,20) (14,3) (29,2) (2,0) (29,9) (10,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1652", - "image": "data/cycle/graph_visual/Base/hard/graph1652.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (8,18) (23,24) (27,14) (4,29) (1,3) (2,10) (5,20) (4,15) (4,30) (16,20) (9,31) (27,7) (21,18) (0,2) (0,1) (1,2) (1,8) (23,9) (2,13) (28,21) (14,21) (30,22) (3,19) (25,30) (17,9) (25,6) (29,26) (29,7) (4,0) (25,5) (28,17) (14,11) (12,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1721", - "image": "data/cycle/graph_visual/Base/hard/graph1721.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (25,5) (23,29) (0,14) (29,21) (7,16) (5,31) (1,0) (1,17) (29,12) (30,24) (27,24) (13,25) (14,1) (2,0) (32,15) (32,6) (8,15) (12,25) (10,12) (31,14) (24,4) (26,17) (13,19) (28,31) (8,9) (20,1) (23,3) (26,30) (6,16) (2,5) (2,11) (18,8) (7,24) (22,31)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1703", - "image": "data/cycle/graph_visual/Base/hard/graph1703.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (29,19) (12,1) (1,28) (14,24) (10,16) (28,14) (26,8) (0,20) (27,1) (11,19) (2,32) (22,18) (14,23) (29,3) (19,25) (32,13) (1,0) (30,21) (24,6) (7,30) (11,21) (18,20) (32,22) (28,15) (9,28) (11,24) (17,0) (5,21) (15,31) (9,10) (4,13) (4,8) (22,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph650", - "image": "data/cycle/graph_visual/Base/hard/graph650.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (27,24) (27,6) (3,26) (16,31) (20,24) (15,1) (20,7) (16,4) (2,14) (6,8) (13,26) (28,9) (8,15) (29,2) (26,10) (9,29) (22,17) (0,4) (18,14) (17,21) (7,11) (22,5) (23,18) (13,4) (20,22) (25,3) (3,12) (2,19) (17,25) (25,23) (1,30)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph663", - "image": "data/cycle/graph_visual/Base/hard/graph663.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (17,1) (12,25) (9,18) (30,13) (18,4) (0,28) (17,15) (23,31) (14,27) (5,20) (3,19) (8,21) (27,23) (27,29) (2,31) (2,1) (21,15) (30,16) (4,5) (8,26) (6,2) (28,10) (3,14) (13,6) (11,16) (28,7) (22,24) (5,24) (18,12) (4,19) (14,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1490", - "image": "data/cycle/graph_visual/Base/hard/graph1490.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (0,4) (0,6) (11,29) (19,7) (3,0) (3,5) (15,1) (20,4) (20,3) (21,25) (29,6) (18,25) (6,14) (20,24) (22,26) (0,1) (2,0) (24,26) (29,17) (28,22) (10,17) (2,4) (6,25) (8,16) (23,24) (14,13) (2,27) (20,19) (21,12) (22,8) (0,15) (9,12) (27,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph432", - "image": "data/cycle/graph_visual/Base/hard/graph432.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (14,16) (24,6) (28,17) (10,22) (15,3) (16,27) (11,17) (5,13) (0,17) (3,21) (4,25) (27,17) (16,24) (13,23) (20,7) (9,12) (6,7) (29,16) (1,10) (6,18) (22,24) (27,25) (19,22) (9,25) (8,17) (26,21) (15,20) (5,4) (4,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1376", - "image": "data/cycle/graph_visual/Base/hard/graph1376.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (22,19) (25,5) (26,25) (8,24) (10,11) (15,27) (13,6) (25,1) (26,6) (7,12) (9,15) (8,2) (7,4) (9,3) (0,1) (21,20) (3,14) (18,17) (0,16) (5,15) (17,4) (10,6) (26,0) (17,20) (28,26) (0,2) (21,16) (8,0) (27,23) (19,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1530", - "image": "data/cycle/graph_visual/Base/hard/graph1530.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (24,26) (2,0) (19,2) (7,9) (25,24) (7,11) (11,23) (19,4) (0,18) (21,9) (28,10) (1,0) (28,0) (10,8) (20,5) (1,16) (12,17) (26,19) (22,14) (29,23) (4,5) (30,2) (21,4) (27,0) (14,21) (14,6) (16,17) (26,3) (15,26) (12,15) (10,9) (13,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1807", - "image": "data/cycle/graph_visual/Base/hard/graph1807.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (1,0) (9,1) (0,22) (32,17) (8,26) (9,5) (12,30) (26,28) (24,27) (14,29) (13,16) (4,9) (0,23) (10,18) (4,25) (33,19) (20,15) (14,2) (3,10) (7,31) (11,18) (26,27) (31,21) (26,6) (15,0) (32,27) (14,30) (23,1) (2,21) (11,32) (0,2) (2,28) (23,7) (5,33) (13,30)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph641", - "image": "data/cycle/graph_visual/Base/hard/graph641.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (27,22) (10,25) (1,11) (30,6) (27,26) (0,23) (19,25) (18,4) (12,8) (22,14) (29,27) (16,20) (29,4) (17,19) (31,0) (24,6) (4,17) (6,25) (3,16) (20,0) (2,13) (14,9) (16,13) (18,1) (11,15) (0,12) (24,5) (27,16) (28,22) (21,23) (1,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph946", - "image": "data/cycle/graph_visual/Base/hard/graph946.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (20,11) (15,27) (10,12) (4,29) (16,13) (13,0) (20,19) (6,16) (4,25) (19,2) (7,17) (2,9) (0,3) (32,34) (22,26) (22,12) (11,22) (24,1) (30,26) (21,32) (31,4) (24,33) (14,2) (29,10) (6,27) (22,6) (23,30) (19,5) (18,32) (28,6) (8,30) (32,4) (25,33) (12,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1616", - "image": "data/cycle/graph_visual/Base/hard/graph1616.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (23,14) (9,27) (27,11) (5,20) (30,11) (24,9) (10,23) (27,13) (15,17) (14,15) (0,3) (19,1) (6,22) (24,8) (20,24) (25,21) (1,3) (18,24) (26,16) (18,12) (0,2) (25,17) (6,31) (16,8) (23,2) (30,7) (14,4) (8,29) (9,28) (10,1) (31,25) (0,1) (23,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph540", - "image": "data/cycle/graph_visual/Base/hard/graph540.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (11,22) (0,19) (8,12) (22,24) (28,8) (8,11) (0,6) (25,11) (12,29) (27,4) (5,17) (22,14) (25,20) (3,10) (6,9) (7,11) (23,15) (29,5) (3,27) (0,1) (1,28) (23,21) (10,14) (4,21) (30,7) (30,2) (16,13) (7,18) (1,16) (26,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph714", - "image": "data/cycle/graph_visual/Base/hard/graph714.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (22,11) (18,32) (16,6) (4,25) (14,2) (7,17) (25,31) (29,4) (32,21) (24,6) (11,20) (26,22) (2,9) (22,12) (22,6) (27,6) (12,10) (19,2) (12,7) (20,19) (30,23) (0,3) (29,10) (1,24) (8,30) (16,13) (0,13) (19,5) (32,4) (4,30) (26,28) (15,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1257", - "image": "data/cycle/graph_visual/Base/hard/graph1257.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (23,2) (0,2) (5,24) (1,0) (0,3) (13,10) (7,1) (9,0) (4,19) (11,19) (21,17) (18,6) (8,22) (24,22) (0,16) (17,4) (17,24) (12,21) (11,23) (4,0) (6,14) (27,15) (3,9) (26,23) (14,16) (27,14) (15,1) (16,8) (25,24) (10,26) (15,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1051", - "image": "data/cycle/graph_visual/Base/hard/graph1051.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (16,2) (14,18) (4,11) (17,5) (22,6) (0,15) (20,12) (7,6) (20,13) (0,2) (7,21) (19,2) (15,22) (3,0) (12,15) (25,20) (17,23) (19,8) (7,1) (4,9) (18,0) (15,11) (8,17) (4,0) (19,10) (17,24) (0,1) (18,3) (17,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph879", - "image": "data/cycle/graph_visual/Base/hard/graph879.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (11,21) (20,12) (6,7) (14,1) (13,31) (23,24) (32,10) (11,9) (5,17) (29,25) (33,2) (8,1) (24,17) (23,6) (6,12) (31,21) (0,5) (12,15) (16,32) (19,30) (27,9) (11,28) (8,0) (17,26) (32,3) (23,22) (11,25) (4,8) (30,23) (19,33) (2,18) (10,7) (25,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1157", - "image": "data/cycle/graph_visual/Base/hard/graph1157.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (5,11) (11,15) (6,1) (18,1) (23,5) (8,3) (12,14) (13,26) (22,13) (14,11) (1,25) (23,8) (0,3) (9,16) (24,20) (2,7) (16,13) (20,0) (17,1) (19,4) (0,14) (2,0) (7,0) (10,15) (4,5) (25,21) (26,2) (12,17) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph451", - "image": "data/cycle/graph_visual/Base/hard/graph451.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (26,24) (5,4) (16,1) (15,26) (17,8) (7,9) (14,21) (23,11) (18,5) (11,7) (17,0) (16,12) (10,6) (9,10) (0,28) (3,14) (20,14) (28,23) (24,22) (13,17) (26,2) (15,12) (4,21) (21,9) (10,27) (19,25) (19,4) (0,26) (19,29)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1845", - "image": "data/cycle/graph_visual/Base/hard/graph1845.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (1,32) (27,7) (23,20) (9,6) (11,24) (17,32) (9,5) (29,31) (7,24) (8,24) (32,31) (3,33) (32,10) (0,1) (8,30) (4,24) (9,28) (18,2) (0,3) (23,13) (21,27) (17,11) (29,15) (6,14) (3,4) (6,26) (0,2) (12,29) (6,10) (22,25) (16,31) (19,27) (4,0) (23,11) (1,18) (3,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1402", - "image": "data/cycle/graph_visual/Base/hard/graph1402.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (14,15) (7,1) (25,2) (26,18) (22,24) (26,6) (3,11) (26,5) (9,23) (1,20) (8,11) (17,2) (20,25) (11,27) (0,11) (21,17) (21,19) (29,24) (0,1) (13,1) (10,13) (15,29) (28,24) (9,16) (1,12) (6,12) (22,25) (18,4) (24,0) (23,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1935", - "image": "data/cycle/graph_visual/Base/hard/graph1935.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (34,17) (0,2) (13,33) (0,5) (31,20) (27,16) (32,7) (25,15) (17,21) (3,6) (32,0) (33,18) (11,31) (25,22) (0,3) (20,10) (5,8) (34,10) (32,13) (24,27) (19,23) (3,1) (24,22) (2,21) (15,28) (11,18) (4,23) (9,11) (18,1) (4,26) (30,31) (31,26) (29,7) (15,12) (17,14) (1,0) (25,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1435", - "image": "data/cycle/graph_visual/Base/hard/graph1435.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (14,23) (13,17) (8,15) (27,24) (20,10) (4,5) (7,26) (7,5) (12,8) (7,0) (26,17) (14,27) (26,1) (29,12) (21,18) (17,3) (1,0) (3,0) (29,19) (22,17) (0,2) (25,12) (7,9) (16,2) (16,20) (6,26) (10,18) (11,21) (23,22) (16,17) (28,8) (11,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1833", - "image": "data/cycle/graph_visual/Base/hard/graph1833.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (27,23) (27,0) (7,17) (1,12) (18,19) (24,1) (0,1) (25,0) (26,2) (5,19) (31,29) (7,6) (13,2) (33,27) (16,10) (17,30) (23,4) (8,16) (27,1) (13,22) (19,30) (31,14) (19,9) (15,23) (21,17) (11,3) (4,17) (11,27) (28,22) (32,22) (5,8) (26,29) (20,27) (29,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1772", - "image": "data/cycle/graph_visual/Base/hard/graph1772.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (2,6) (23,11) (6,28) (30,9) (3,5) (0,1) (12,30) (26,23) (6,20) (1,17) (26,19) (9,0) (13,20) (16,26) (12,32) (12,2) (8,2) (12,22) (6,18) (31,4) (21,5) (5,25) (2,0) (31,18) (27,29) (31,15) (14,1) (16,7) (0,10) (21,27) (12,17) (16,28) (5,23) (24,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1684", - "image": "data/cycle/graph_visual/Base/hard/graph1684.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (15,0) (19,17) (21,10) (31,28) (0,2) (5,14) (9,0) (1,0) (8,9) (29,17) (28,27) (30,2) (26,13) (14,3) (11,24) (25,5) (12,4) (30,18) (0,3) (3,13) (0,4) (14,20) (4,21) (25,21) (24,23) (1,3) (10,23) (30,1) (23,16) (0,22) (28,9) (12,29) (27,5) (17,6) (22,7)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1403", - "image": "data/cycle/graph_visual/Base/hard/graph1403.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (8,4) (3,17) (20,1) (11,15) (10,22) (13,26) (0,16) (27,7) (0,3) (28,1) (14,23) (23,18) (15,27) (7,24) (5,3) (7,12) (19,2) (20,25) (0,1) (24,14) (25,9) (29,3) (0,26) (0,2) (6,23) (16,22) (29,21) (0,4) (17,12) (28,11) (5,26) (11,8) (20,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph277", - "image": "data/cycle/graph_visual/Base/hard/graph277.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (26,3) (7,16) (9,16) (27,0) (8,25) (18,4) (9,0) (11,16) (4,19) (26,8) (13,23) (9,10) (10,13) (12,11) (8,22) (3,24) (2,21) (3,21) (5,1) (24,10) (8,19) (20,18) (12,6) (15,16) (25,1) (14,3) (17,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1064", - "image": "data/cycle/graph_visual/Base/hard/graph1064.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (20,0) (11,2) (0,3) (2,12) (1,0) (2,0) (0,19) (21,15) (5,24) (9,13) (10,14) (23,11) (16,0) (22,18) (12,14) (4,0) (20,10) (9,10) (25,17) (7,6) (22,25) (15,11) (4,17) (5,3) (22,16) (15,1) (10,5) (10,8) (6,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1236", - "image": "data/cycle/graph_visual/Base/hard/graph1236.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (19,16) (3,24) (27,21) (0,1) (6,4) (24,16) (8,26) (3,0) (8,13) (17,1) (2,10) (18,24) (23,1) (11,20) (25,11) (27,10) (24,5) (4,9) (7,23) (13,9) (23,25) (10,12) (15,18) (17,0) (3,27) (22,18) (14,4) (25,22) (2,0) (20,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph436", - "image": "data/cycle/graph_visual/Base/hard/graph436.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (18,24) (13,11) (24,11) (26,29) (3,2) (22,5) (27,17) (4,0) (14,23) (8,1) (9,26) (13,16) (3,25) (8,14) (21,1) (12,22) (17,3) (16,25) (9,7) (23,2) (20,6) (10,6) (7,10) (14,15) (23,12) (5,19) (21,29) (4,14) (28,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1209", - "image": "data/cycle/graph_visual/Base/hard/graph1209.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (23,13) (24,17) (1,23) (24,21) (24,4) (0,1) (21,3) (15,18) (14,4) (11,17) (13,22) (21,19) (6,26) (20,13) (7,23) (6,8) (2,6) (23,0) (15,1) (25,7) (1,12) (6,27) (27,22) (19,10) (13,9) (16,19) (20,5) (5,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph745", - "image": "data/cycle/graph_visual/Base/hard/graph745.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (13,9) (2,1) (11,10) (0,3) (13,10) (5,3) (23,5) (17,26) (27,10) (2,17) (20,29) (21,23) (32,20) (27,24) (22,28) (15,14) (16,8) (20,11) (30,24) (6,10) (7,19) (16,27) (14,1) (28,23) (1,11) (32,25) (19,32) (25,18) (15,31) (2,12) (29,23) (4,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1654", - "image": "data/cycle/graph_visual/Base/hard/graph1654.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (10,9) (4,8) (28,14) (24,5) (6,30) (24,11) (2,29) (0,16) (18,17) (15,30) (20,22) (1,27) (0,1) (18,22) (23,14) (7,1) (12,10) (21,3) (20,0) (26,8) (22,27) (11,21) (28,1) (15,28) (13,19) (4,13) (29,21) (31,18) (25,19) (28,9) (11,19) (24,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph396", - "image": "data/cycle/graph_visual/Base/hard/graph396.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (8,21) (17,20) (9,21) (23,12) (8,19) (26,27) (11,2) (7,12) (28,3) (1,6) (0,16) (0,24) (0,3) (13,0) (27,2) (4,8) (15,18) (25,18) (9,25) (10,12) (11,20) (6,14) (21,28) (7,6) (26,5) (0,11) (22,5) (22,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1188", - "image": "data/cycle/graph_visual/Base/hard/graph1188.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (9,20) (22,26) (23,18) (1,0) (16,24) (3,26) (10,23) (26,14) (4,24) (17,16) (10,8) (3,16) (2,22) (0,11) (20,19) (12,3) (23,12) (2,15) (14,13) (1,25) (26,7) (17,6) (0,5) (25,13) (26,9) (24,0) (21,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1311", - "image": "data/cycle/graph_visual/Base/hard/graph1311.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (15,19) (8,1) (0,7) (19,9) (26,19) (24,16) (5,2) (26,5) (20,12) (0,1) (0,3) (23,14) (17,20) (16,28) (18,26) (2,4) (1,12) (13,0) (2,0) (22,12) (6,21) (14,0) (25,7) (9,11) (8,6) (27,26) (3,17) (20,4) (19,16) (25,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph723", - "image": "data/cycle/graph_visual/Base/hard/graph723.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (30,31) (16,12) (4,14) (17,32) (27,11) (29,10) (22,29) (32,6) (19,13) (27,31) (1,26) (28,27) (15,25) (5,29) (1,25) (5,12) (18,22) (21,7) (8,30) (1,7) (17,0) (19,12) (9,11) (2,7) (20,28) (4,31) (32,18) (22,26) (23,16) (11,3) (16,3) (26,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1424", - "image": "data/cycle/graph_visual/Base/hard/graph1424.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (25,29) (14,12) (16,21) (0,2) (13,27) (15,3) (13,6) (0,14) (7,8) (3,0) (4,23) (25,0) (8,18) (0,1) (9,5) (10,21) (21,4) (19,23) (9,19) (9,27) (28,26) (22,20) (7,0) (13,15) (24,9) (17,22) (20,7) (11,1) (0,9) (10,26) (7,11) (2,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1557", - "image": "data/cycle/graph_visual/Base/hard/graph1557.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (6,18) (29,5) (0,4) (24,18) (16,15) (27,16) (26,25) (0,1) (3,0) (2,17) (17,7) (5,6) (28,22) (14,3) (25,19) (8,27) (16,21) (23,27) (27,1) (9,14) (13,14) (28,25) (29,10) (20,19) (24,11) (3,5) (14,0) (17,25) (9,4) (22,30) (15,20) (2,4) (12,14) (0,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph355", - "image": "data/cycle/graph_visual/Base/hard/graph355.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (27,15) (16,0) (15,5) (12,7) (19,7) (0,8) (26,25) (26,0) (6,26) (8,24) (20,17) (22,19) (23,27) (17,4) (1,25) (18,17) (9,3) (16,21) (21,20) (26,28) (9,15) (11,10) (7,4) (8,2) (10,6) (6,13) (3,14) (5,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph6", - "image": "data/cycle/graph_visual/Base/hard/graph6.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (6,0) (12,9) (14,6) (20,3) (21,6) (4,2) (17,10) (12,0) (25,6) (13,14) (24,20) (7,19) (24,19) (22,23) (25,16) (21,11) (8,22) (15,1) (18,25) (5,3) (17,20) (24,22) (8,15) (20,4) (2,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph524", - "image": "data/cycle/graph_visual/Base/hard/graph524.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (30,4) (27,26) (2,15) (12,20) (26,11) (25,23) (0,30) (1,18) (9,28) (5,21) (25,22) (17,23) (27,23) (19,8) (29,6) (20,13) (14,2) (13,5) (30,27) (27,7) (27,3) (1,10) (5,16) (19,6) (21,24) (11,2) (21,18) (1,19) (8,9) (25,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1862", - "image": "data/cycle/graph_visual/Base/hard/graph1862.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (0,5) (25,4) (29,8) (22,30) (31,17) (27,31) (7,28) (21,32) (24,19) (29,9) (0,3) (1,11) (28,5) (18,13) (0,1) (5,26) (12,23) (21,11) (23,13) (29,5) (10,16) (20,13) (23,24) (11,27) (12,15) (10,3) (16,2) (24,25) (29,6) (24,22) (2,0) (19,28) (24,11) (14,15) (16,13) (33,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1635", - "image": "data/cycle/graph_visual/Base/hard/graph1635.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (31,30) (12,22) (19,27) (22,16) (2,6) (14,10) (27,25) (1,2) (0,3) (23,28) (0,1) (5,18) (19,17) (3,22) (6,28) (17,14) (7,5) (4,0) (26,30) (20,21) (26,28) (1,13) (5,31) (26,21) (18,4) (26,11) (14,26) (12,27) (0,5) (22,8) (2,0) (9,25) (12,29) (10,24) (14,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph360", - "image": "data/cycle/graph_visual/Base/hard/graph360.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (2,1) (3,21) (16,7) (5,28) (12,6) (24,10) (4,19) (3,24) (4,18) (9,16) (23,13) (12,11) (25,1) (27,9) (25,8) (8,26) (0,21) (11,16) (8,22) (10,28) (19,8) (3,14) (26,3) (17,6) (16,15) (20,18) (28,9) (10,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph608", - "image": "data/cycle/graph_visual/Base/hard/graph608.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (8,2) (21,0) (12,6) (16,4) (1,14) (13,27) (0,30) (17,23) (17,14) (1,20) (24,18) (24,10) (27,19) (28,14) (6,25) (3,4) (6,20) (31,15) (7,31) (24,13) (29,1) (9,30) (7,5) (16,1) (28,22) (28,31) (1,26) (11,13) (24,0) (1,27) (8,28)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph825", - "image": "data/cycle/graph_visual/Base/hard/graph825.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (33,12) (24,19) (32,16) (33,0) (5,9) (25,26) (6,28) (30,22) (28,20) (2,3) (32,21) (2,5) (23,11) (7,28) (18,11) (1,15) (20,29) (12,17) (3,4) (29,8) (11,6) (2,12) (1,29) (14,33) (14,32) (28,25) (12,28) (4,30) (31,15) (19,9) (27,10) (0,10) (13,28)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1335", - "image": "data/cycle/graph_visual/Base/hard/graph1335.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (2,22) (14,12) (5,25) (3,5) (2,11) (9,10) (1,0) (24,12) (0,19) (14,10) (20,28) (28,0) (15,1) (8,10) (6,7) (22,16) (9,13) (10,20) (22,18) (11,23) (17,25) (0,26) (6,25) (10,5) (2,20) (17,4) (15,21) (27,16) (15,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1150", - "image": "data/cycle/graph_visual/Base/hard/graph1150.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (5,11) (4,0) (25,15) (9,13) (2,26) (3,0) (10,24) (18,1) (22,8) (18,5) (6,2) (15,23) (21,9) (4,5) (1,0) (7,12) (0,24) (14,11) (16,15) (20,5) (26,10) (0,21) (7,14) (0,2) (5,19) (16,0) (8,20) (17,16) (3,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1428", - "image": "data/cycle/graph_visual/Base/hard/graph1428.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (7,1) (14,3) (14,0) (29,5) (27,29) (2,0) (28,27) (2,16) (8,15) (21,18) (26,2) (4,9) (22,6) (21,7) (27,21) (13,21) (9,6) (1,0) (29,10) (26,9) (15,12) (20,9) (26,23) (19,1) (11,8) (20,25) (0,3) (23,19) (14,2) (17,2) (2,24) (12,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1740", - "image": "data/cycle/graph_visual/Base/hard/graph1740.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (27,3) (22,24) (14,31) (0,3) (23,8) (2,1) (11,31) (22,30) (9,31) (2,25) (1,0) (16,29) (2,0) (10,2) (13,10) (15,28) (20,17) (0,6) (26,24) (4,15) (18,16) (7,29) (0,13) (30,5) (11,19) (26,18) (29,15) (29,8) (21,23) (27,8) (17,12) (28,32) (23,19) (2,26) (4,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph40", - "image": "data/cycle/graph_visual/Base/hard/graph40.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (24,25) (15,11) (6,4) (10,1) (18,3) (2,6) (19,0) (5,2) (16,22) (7,9) (24,17) (7,15) (4,9) (17,0) (11,19) (13,23) (0,12) (22,15) (25,23) (20,16) (14,1) (16,1) (10,21) (3,10) (8,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1422", - "image": "data/cycle/graph_visual/Base/hard/graph1422.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (26,29) (28,8) (24,17) (6,4) (0,4) (5,13) (7,11) (0,5) (18,19) (29,9) (15,14) (15,21) (3,21) (3,0) (10,26) (26,23) (23,27) (8,11) (25,28) (3,26) (26,12) (0,18) (1,24) (0,2) (6,25) (1,0) (20,14) (13,25) (2,20) (17,22) (1,16) (11,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1176", - "image": "data/cycle/graph_visual/Base/hard/graph1176.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (7,12) (20,10) (9,6) (5,9) (3,0) (16,25) (0,7) (20,26) (3,22) (2,0) (10,25) (16,8) (17,21) (13,2) (5,24) (13,8) (22,18) (13,23) (11,14) (25,4) (17,19) (15,22) (11,9) (24,23) (4,0) (0,1) (12,26) (16,1) (8,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph410", - "image": "data/cycle/graph_visual/Base/hard/graph410.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (1,10) (25,11) (19,10) (13,29) (29,6) (2,7) (9,4) (5,29) (4,7) (5,14) (28,20) (22,16) (8,1) (17,27) (28,25) (12,0) (17,21) (3,23) (13,28) (23,29) (19,0) (3,18) (2,26) (23,21) (8,7) (24,11) (14,15) (22,20) (19,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1239", - "image": "data/cycle/graph_visual/Base/hard/graph1239.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (1,10) (8,25) (0,4) (25,19) (4,9) (24,3) (16,4) (6,18) (20,12) (21,26) (13,16) (17,8) (27,17) (8,1) (0,3) (24,5) (0,27) (1,0) (6,16) (13,7) (11,18) (12,25) (0,2) (22,9) (3,19) (15,23) (4,24) (26,9) (14,15) (12,2) (15,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph695", - "image": "data/cycle/graph_visual/Base/hard/graph695.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (11,29) (19,3) (29,25) (24,8) (17,11) (30,19) (23,4) (21,4) (20,13) (18,14) (31,19) (22,10) (31,6) (18,8) (24,7) (20,30) (10,26) (15,16) (8,23) (9,15) (7,27) (27,5) (1,0) (6,16) (13,29) (28,29) (12,28) (1,26) (2,4) (13,0) (23,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1201", - "image": "data/cycle/graph_visual/Base/hard/graph1201.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (15,20) (18,24) (0,1) (2,19) (1,27) (20,10) (12,0) (4,0) (14,15) (18,6) (3,7) (0,26) (5,17) (17,23) (9,16) (11,19) (25,6) (8,20) (0,3) (0,24) (2,0) (6,1) (8,18) (24,9) (2,10) (13,17) (27,4) (7,22) (22,13) (11,3) (21,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1932", - "image": "data/cycle/graph_visual/Base/hard/graph1932.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (26,19) (25,7) (14,20) (20,22) (15,6) (33,23) (0,2) (17,5) (17,32) (16,29) (27,25) (0,4) (7,4) (33,10) (21,7) (21,1) (5,1) (4,15) (16,11) (31,9) (29,19) (10,0) (28,25) (8,17) (24,34) (2,6) (10,9) (16,23) (18,28) (3,33) (13,17) (1,0) (22,16) (14,30) (12,18) (24,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph823", - "image": "data/cycle/graph_visual/Base/hard/graph823.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (25,12) (30,11) (29,18) (9,25) (29,15) (5,11) (8,20) (6,4) (27,1) (17,32) (31,33) (0,12) (24,12) (22,13) (11,32) (26,20) (13,9) (33,0) (4,15) (28,8) (8,10) (8,16) (12,8) (28,14) (26,19) (3,8) (7,14) (2,7) (1,26) (6,26) (14,17) (10,23) (21,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph885", - "image": "data/cycle/graph_visual/Base/hard/graph885.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (1,16) (13,11) (22,28) (12,6) (5,7) (24,18) (6,25) (1,29) (33,1) (28,8) (23,17) (13,24) (6,20) (27,13) (3,4) (1,26) (24,10) (28,31) (20,1) (32,14) (30,9) (14,28) (30,0) (21,0) (7,31) (0,24) (27,19) (31,33) (17,14) (8,2) (27,1) (16,4) (31,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph620", - "image": "data/cycle/graph_visual/Base/hard/graph620.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (6,17) (1,11) (6,27) (17,22) (20,13) (29,10) (12,23) (10,19) (21,6) (1,24) (9,5) (27,4) (22,0) (21,25) (24,18) (30,13) (15,19) (3,24) (28,23) (9,0) (31,13) (8,14) (3,5) (2,22) (23,16) (3,16) (14,4) (19,18) (26,9) (7,1) (24,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph218", - "image": "data/cycle/graph_visual/Base/hard/graph218.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (6,0) (11,7) (4,19) (22,11) (6,2) (10,3) (13,23) (8,12) (25,8) (7,23) (15,1) (11,8) (0,17) (24,3) (7,5) (21,11) (27,4) (1,25) (21,18) (14,22) (5,16) (16,9) (10,14) (26,12) (22,20) (0,1) (7,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1953", - "image": "data/cycle/graph_visual/Base/hard/graph1953.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (9,27) (5,11) (20,7) (8,25) (15,31) (10,26) (23,11) (25,4) (5,30) (8,9) (21,28) (0,1) (34,11) (29,22) (31,2) (20,28) (14,1) (13,6) (20,23) (4,19) (11,3) (32,1) (32,0) (27,1) (2,0) (21,18) (22,16) (33,18) (21,10) (0,29) (12,18) (22,17) (24,21) (21,31) (18,25) (20,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph17", - "image": "data/cycle/graph_visual/Base/hard/graph17.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (18,15) (7,6) (5,15) (23,25) (7,12) (10,16) (22,8) (11,10) (20,17) (22,3) (20,6) (9,15) (21,2) (16,21) (8,14) (24,25) (4,14) (1,3) (5,0) (8,6) (14,9) (21,24) (15,13) (5,19) (3,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1194", - "image": "data/cycle/graph_visual/Base/hard/graph1194.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (3,0) (24,26) (1,0) (0,2) (2,17) (7,6) (5,11) (2,6) (10,7) (11,3) (19,10) (10,11) (8,20) (22,21) (15,0) (9,7) (17,21) (12,22) (20,7) (10,15) (11,4) (2,26) (8,1) (17,18) (24,14) (16,2) (15,13) (3,25) (4,23)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1553", - "image": "data/cycle/graph_visual/Base/hard/graph1553.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (12,0) (24,4) (14,2) (9,19) (19,23) (8,23) (18,6) (15,6) (13,23) (22,17) (21,16) (15,27) (12,16) (2,0) (24,12) (13,29) (5,10) (19,18) (1,12) (3,6) (17,2) (25,6) (2,30) (8,20) (28,25) (26,19) (3,0) (7,4) (0,1) (28,30) (7,5) (11,7) (4,0) (22,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph454", - "image": "data/cycle/graph_visual/Base/hard/graph454.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (21,6) (0,17) (27,24) (15,22) (20,12) (10,21) (21,24) (5,6) (23,4) (12,15) (1,19) (27,14) (6,29) (28,22) (12,17) (28,4) (11,23) (25,20) (26,0) (9,29) (7,3) (3,9) (1,20) (13,18) (2,26) (16,8) (8,23) (29,26) (28,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1439", - "image": "data/cycle/graph_visual/Base/hard/graph1439.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (18,27) (11,24) (16,23) (10,29) (21,19) (11,6) (19,17) (20,14) (5,2) (17,4) (26,12) (20,7) (17,29) (16,29) (14,27) (1,0) (8,19) (0,4) (27,3) (11,2) (9,22) (9,2) (12,13) (7,25) (19,28) (3,0) (10,15) (0,2) (2,15) (11,25) (0,13) (3,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1782", - "image": "data/cycle/graph_visual/Base/hard/graph1782.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (28,15) (0,2) (25,27) (19,29) (9,23) (13,17) (9,10) (25,26) (4,0) (5,1) (10,31) (24,13) (0,1) (11,18) (17,30) (4,12) (16,23) (16,8) (7,21) (20,14) (16,22) (17,5) (15,3) (22,20) (10,0) (19,18) (28,16) (14,29) (7,4) (6,17) (2,6) (32,24) (25,7) (21,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph242", - "image": "data/cycle/graph_visual/Base/hard/graph242.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (8,19) (26,2) (27,21) (25,18) (22,23) (5,22) (7,6) (15,18) (12,23) (9,21) (12,10) (3,27) (17,20) (13,0) (25,9) (4,8) (11,0) (21,8) (5,26) (6,14) (11,20) (1,6) (11,2) (7,12) (3,0) (0,16) (0,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph164", - "image": "data/cycle/graph_visual/Base/hard/graph164.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (13,9) (25,15) (26,18) (15,8) (6,15) (17,2) (3,22) (26,21) (19,11) (20,25) (23,17) (21,7) (18,12) (0,6) (8,11) (5,2) (16,20) (11,2) (9,24) (14,22) (18,14) (4,1) (9,8) (21,1) (23,4) (10,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1524", - "image": "data/cycle/graph_visual/Base/hard/graph1524.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (20,11) (0,12) (0,27) (24,14) (1,12) (6,2) (19,5) (9,5) (25,4) (3,27) (23,21) (16,24) (4,22) (6,10) (28,19) (4,13) (10,20) (21,13) (15,16) (18,0) (14,13) (17,22) (30,4) (21,10) (5,14) (0,1) (26,7) (30,7) (28,8) (3,22) (29,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1137", - "image": "data/cycle/graph_visual/Base/hard/graph1137.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (11,18) (16,4) (3,0) (5,13) (19,3) (15,11) (18,6) (0,12) (2,0) (2,24) (20,26) (24,3) (15,13) (19,25) (7,1) (16,6) (17,26) (1,8) (12,14) (8,25) (25,12) (9,21) (0,1) (17,8) (22,15) (10,16) (4,9) (23,9) (4,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1432", - "image": "data/cycle/graph_visual/Base/hard/graph1432.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (15,29) (14,3) (11,28) (0,13) (5,20) (17,13) (17,11) (9,18) (13,15) (2,18) (8,25) (8,1) (0,1) (3,0) (4,3) (10,15) (16,7) (26,24) (12,16) (27,0) (6,16) (13,8) (6,14) (21,9) (19,18) (12,22) (23,16) (27,24) (5,14) (2,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph65", - "image": "data/cycle/graph_visual/Base/hard/graph65.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (22,9) (0,19) (2,10) (8,4) (9,6) (10,13) (7,0) (17,11) (25,4) (3,24) (24,6) (2,1) (7,4) (15,22) (14,19) (11,2) (16,8) (13,23) (5,18) (10,21) (18,2) (4,20) (22,21) (12,19) (14,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1191", - "image": "data/cycle/graph_visual/Base/hard/graph1191.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (15,1) (0,1) (21,3) (19,22) (10,4) (16,5) (19,4) (2,8) (25,20) (4,14) (14,11) (21,19) (0,21) (16,11) (12,13) (12,0) (11,26) (8,15) (7,25) (15,18) (20,8) (11,9) (24,22) (23,14) (6,21) (0,17) (7,17)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1567", - "image": "data/cycle/graph_visual/Base/hard/graph1567.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (28,13) (29,21) (18,0) (17,29) (16,28) (24,19) (10,26) (16,22) (21,30) (30,19) (21,27) (0,1) (26,6) (14,15) (2,20) (15,16) (7,8) (30,10) (12,28) (4,26) (3,7) (20,11) (1,5) (25,16) (30,9) (18,17) (5,23) (8,15) (5,20) (9,14) (20,28)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph754", - "image": "data/cycle/graph_visual/Base/hard/graph754.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (23,25) (8,14) (14,28) (0,30) (17,8) (18,7) (10,25) (15,23) (26,24) (13,31) (5,27) (13,32) (22,9) (5,7) (15,13) (16,2) (9,2) (28,21) (7,6) (26,13) (13,12) (7,1) (21,30) (19,14) (11,9) (0,4) (3,8) (3,2) (20,8) (29,12) (25,21) (1,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph812", - "image": "data/cycle/graph_visual/Base/hard/graph812.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (24,20) (33,13) (11,14) (22,17) (32,10) (28,9) (3,5) (15,4) (16,23) (30,5) (23,14) (12,1) (8,1) (21,6) (2,33) (4,27) (24,3) (32,27) (22,7) (0,22) (24,1) (33,9) (23,31) (26,21) (0,9) (6,29) (6,17) (16,3) (18,24) (20,13) (25,19) (19,10) (18,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1464", - "image": "data/cycle/graph_visual/Base/hard/graph1464.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (13,17) (8,25) (16,7) (3,14) (15,13) (0,13) (28,11) (6,14) (20,5) (2,18) (18,9) (16,12) (1,8) (11,17) (3,4) (26,24) (15,10) (1,0) (9,21) (8,13) (19,18) (5,14) (0,3) (29,15) (27,24) (6,16) (27,0) (16,23) (22,12) (2,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1552", - "image": "data/cycle/graph_visual/Base/hard/graph1552.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (17,8) (4,10) (18,25) (0,2) (19,20) (29,18) (28,1) (4,16) (28,26) (1,0) (10,24) (27,20) (3,4) (21,8) (6,23) (10,15) (0,13) (11,24) (2,3) (30,15) (7,21) (28,12) (21,28) (22,3) (5,0) (28,14) (28,13) (27,23) (5,27) (9,25) (30,18) (2,13)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1214", - "image": "data/cycle/graph_visual/Base/hard/graph1214.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (14,19) (24,13) (17,11) (8,4) (7,27) (0,1) (22,15) (9,22) (12,19) (4,27) (0,7) (21,10) (6,25) (2,18) (0,2) (21,22) (18,27) (16,8) (1,2) (5,14) (0,19) (2,20) (10,2) (23,4) (10,13) (5,26) (27,11) (3,24) (6,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1425", - "image": "data/cycle/graph_visual/Base/hard/graph1425.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (3,0) (18,23) (14,0) (3,10) (13,7) (17,24) (22,16) (5,2) (26,1) (11,15) (29,25) (16,23) (24,25) (16,1) (28,12) (29,2) (2,0) (6,4) (0,17) (1,20) (3,21) (15,28) (15,7) (10,26) (4,9) (0,1) (27,10) (8,6) (22,9) (0,19) (11,19) (28,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph297", - "image": "data/cycle/graph_visual/Base/hard/graph297.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (6,9) (23,11) (9,2) (16,12) (26,7) (21,15) (14,23) (23,4) (27,19) (27,24) (23,13) (15,17) (10,12) (9,5) (6,1) (23,10) (8,2) (4,3) (18,5) (25,12) (26,16) (24,17) (0,2) (13,17) (12,22) (20,21) (11,2)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph353", - "image": "data/cycle/graph_visual/Base/hard/graph353.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (18,16) (9,13) (21,14) (22,0) (5,20) (27,5) (5,19) (26,2) (23,8) (28,24) (6,2) (15,26) (10,7) (28,7) (11,17) (25,3) (12,14) (1,18) (21,5) (28,9) (27,15) (3,0) (4,5) (16,15) (0,16) (8,20) (5,11) (24,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1759", - "image": "data/cycle/graph_visual/Base/hard/graph1759.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (7,2) (19,11) (25,28) (15,4) (15,0) (29,14) (10,30) (26,7) (1,0) (31,26) (22,11) (14,17) (3,32) (27,0) (24,2) (17,1) (26,18) (20,28) (2,0) (24,23) (8,10) (17,31) (12,26) (5,3) (10,28) (23,9) (21,0) (6,30) (13,2) (2,22) (4,10) (32,24) (16,8) (30,31)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1753", - "image": "data/cycle/graph_visual/Base/hard/graph1753.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (7,12) (0,31) (24,23) (4,29) (3,6) (12,10) (1,0) (19,11) (9,2) (18,17) (25,14) (12,28) (21,26) (30,2) (18,31) (19,18) (26,0) (28,24) (2,0) (1,12) (15,22) (5,13) (3,23) (4,28) (11,2) (27,13) (8,19) (16,28) (6,25) (6,8) (22,18) (30,13) (11,32) (16,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph11", - "image": "data/cycle/graph_visual/Base/hard/graph11.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (20,25) (12,18) (13,19) (24,23) (12,13) (24,11) (20,17) (15,0) (19,24) (15,10) (22,12) (2,8) (15,3) (7,24) (9,2) (4,18) (21,6) (0,24) (5,25) (8,3) (4,1) (14,15) (0,25) (14,16) (6,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1206", - "image": "data/cycle/graph_visual/Base/hard/graph1206.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (11,10) (11,4) (19,12) (16,12) (17,23) (8,10) (2,13) (26,27) (24,8) (14,16) (13,20) (5,2) (19,1) (14,7) (17,6) (15,25) (0,3) (26,0) (1,0) (15,23) (12,18) (21,0) (25,8) (17,0) (18,9) (1,25) (22,3) (13,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph52", - "image": "data/cycle/graph_visual/Base/hard/graph52.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (4,21) (13,21) (15,2) (19,9) (15,3) (13,15) (20,7) (7,8) (10,21) (0,9) (17,8) (0,7) (14,0) (23,4) (25,9) (19,23) (11,1) (10,24) (20,18) (16,22) (7,11) (6,13) (12,14) (9,5) (22,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1717", - "image": "data/cycle/graph_visual/Base/hard/graph1717.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (3,0) (16,0) (23,32) (28,3) (16,19) (12,30) (2,7) (29,23) (32,21) (21,4) (15,5) (20,7) (25,12) (15,11) (0,2) (13,19) (17,30) (16,24) (12,15) (27,7) (29,18) (15,10) (9,31) (31,8) (6,12) (0,1) (31,12) (1,11) (28,10) (22,18) (11,14) (0,21) (16,26) (11,20) (13,31)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph561", - "image": "data/cycle/graph_visual/Base/hard/graph561.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (1,17) (26,24) (11,3) (7,19) (8,12) (7,9) (10,2) (9,22) (30,21) (13,26) (25,17) (9,20) (23,24) (9,12) (7,15) (14,4) (11,6) (29,6) (13,18) (27,9) (21,0) (29,27) (16,1) (14,15) (28,2) (25,10) (30,5) (7,10) (1,0) (26,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1519", - "image": "data/cycle/graph_visual/Base/hard/graph1519.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (0,2) (5,16) (9,13) (29,12) (23,25) (11,1) (0,4) (1,2) (11,19) (22,12) (19,27) (10,15) (1,0) (12,11) (16,7) (0,27) (0,24) (3,12) (6,19) (14,7) (0,8) (26,18) (9,15) (13,20) (26,5) (0,3) (21,28) (20,28) (20,3) (30,23) (23,28) (18,4) (10,17) (16,29)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph616", - "image": "data/cycle/graph_visual/Base/hard/graph616.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (8,4) (15,6) (24,11) (18,30) (14,3) (1,29) (13,30) (26,28) (10,3) (25,17) (8,28) (17,11) (22,5) (2,16) (10,24) (0,15) (0,29) (10,4) (8,0) (23,26) (13,22) (24,20) (7,23) (13,31) (15,12) (15,19) (7,16) (27,8) (9,1) (13,0) (6,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph248", - "image": "data/cycle/graph_visual/Base/hard/graph248.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (7,21) (17,23) (26,4) (17,9) (24,22) (24,7) (10,2) (15,9) (21,26) (5,12) (0,14) (12,1) (3,7) (10,27) (24,19) (20,18) (8,16) (22,13) (23,4) (23,10) (4,14) (27,12) (0,18) (11,18) (8,12) (25,0) (6,5)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph320", - "image": "data/cycle/graph_visual/Base/hard/graph320.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (18,21) (4,20) (22,24) (26,10) (2,1) (16,11) (12,27) (20,0) (7,28) (23,9) (22,25) (0,22) (5,8) (5,11) (6,23) (2,25) (19,3) (23,22) (19,21) (13,22) (4,12) (15,19) (25,7) (4,19) (11,9) (17,22) (14,17) (7,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph777", - "image": "data/cycle/graph_visual/Base/hard/graph777.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (23,29) (28,23) (23,21) (27,16) (11,1) (32,25) (20,32) (10,6) (15,14) (27,24) (12,2) (16,8) (17,26) (10,27) (25,18) (15,31) (22,28) (3,0) (23,5) (5,4) (2,1) (5,3) (19,7) (17,2) (14,1) (24,30) (11,10) (20,29) (32,19) (11,20) (9,13) (13,10)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph921", - "image": "data/cycle/graph_visual/Base/hard/graph921.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (3,33) (22,25) (15,30) (0,29) (5,32) (30,32) (12,34) (5,14) (24,14) (20,27) (5,11) (12,4) (5,1) (14,29) (24,3) (0,31) (9,6) (13,22) (14,2) (2,26) (25,34) (19,24) (21,32) (23,20) (32,27) (16,28) (7,19) (8,5) (17,34) (18,24) (10,19) (2,16) (12,27) (9,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1354", - "image": "data/cycle/graph_visual/Base/hard/graph1354.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (17,21) (24,9) (10,2) (2,7) (25,16) (2,11) (13,5) (8,19) (27,22) (6,19) (5,14) (27,28) (1,4) (1,19) (5,21) (0,27) (11,26) (1,0) (23,25) (15,23) (13,20) (6,26) (9,8) (27,3) (12,20) (18,1) (23,27) (25,12) (18,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1276", - "image": "data/cycle/graph_visual/Base/hard/graph1276.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (0,4) (24,20) (17,5) (18,27) (2,7) (11,20) (12,14) (4,6) (4,7) (8,1) (0,19) (18,1) (23,3) (25,2) (15,22) (7,8) (21,17) (13,23) (21,23) (2,0) (0,3) (13,22) (0,1) (3,16) (14,5) (9,0) (1,22) (11,25) (26,10) (10,19) (5,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph212", - "image": "data/cycle/graph_visual/Base/hard/graph212.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (10,7) (0,27) (27,24) (22,14) (26,13) (19,9) (25,10) (11,3) (25,17) (23,2) (18,9) (6,9) (14,15) (14,4) (17,1) (9,7) (26,21) (7,15) (7,16) (5,12) (1,0) (8,6) (20,24) (9,26) (10,2) (11,1) (13,12)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph909", - "image": "data/cycle/graph_visual/Base/hard/graph909.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (25,11) (10,32) (5,17) (12,6) (11,21) (25,16) (22,12) (9,28) (32,16) (14,8) (10,7) (34,13) (1,8) (32,4) (9,11) (24,17) (25,31) (29,11) (34,30) (0,8) (23,24) (6,23) (2,33) (17,27) (30,23) (1,18) (31,15) (12,19) (2,20) (3,34) (7,6) (0,5) (23,26) (21,33)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph422", - "image": "data/cycle/graph_visual/Base/hard/graph422.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (19,6) (23,1) (10,3) (1,19) (16,6) (19,7) (8,20) (27,22) (4,13) (18,6) (0,26) (4,24) (2,8) (26,28) (17,24) (2,6) (14,26) (11,29) (29,4) (11,16) (0,10) (5,16) (22,16) (25,9) (21,16) (12,8) (25,0) (24,14) (15,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph38", - "image": "data/cycle/graph_visual/Base/hard/graph38.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (1,15) (2,6) (6,13) (16,5) (19,9) (8,6) (25,22) (3,21) (10,17) (15,17) (4,24) (1,11) (5,20) (19,21) (19,16) (4,12) (21,18) (23,0) (13,23) (22,13) (7,24) (23,1) (13,20) (23,7) (24,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1062", - "image": "data/cycle/graph_visual/Base/hard/graph1062.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (9,15) (14,7) (14,3) (17,25) (23,18) (11,12) (1,15) (0,4) (17,2) (15,25) (9,5) (24,14) (7,13) (18,10) (4,17) (22,6) (21,23) (16,10) (23,17) (1,6) (12,20) (12,6) (15,8) (14,19) (19,2) (1,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph968", - "image": "data/cycle/graph_visual/Base/hard/graph968.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (12,30) (3,21) (31,27) (17,15) (2,7) (0,12) (30,26) (0,33) (11,12) (24,33) (5,11) (6,29) (34,28) (32,13) (25,23) (5,3) (29,4) (34,2) (27,28) (8,1) (9,22) (7,10) (20,28) (24,32) (14,7) (9,1) (21,16) (18,30) (19,16) (22,34) (6,21) (23,10) (15,27) (33,8)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph390", - "image": "data/cycle/graph_visual/Base/hard/graph390.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (6,0) (3,10) (7,24) (19,2) (28,19) (18,19) (18,21) (21,24) (8,28) (15,27) (17,12) (7,17) (6,9) (27,17) (12,23) (14,10) (14,24) (22,1) (18,11) (24,13) (3,5) (21,22) (16,11) (25,27) (6,7) (4,26) (27,26) (7,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1455", - "image": "data/cycle/graph_visual/Base/hard/graph1455.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (18,9) (12,2) (1,20) (15,17) (9,3) (19,27) (6,13) (27,9) (22,3) (14,10) (0,5) (3,0) (13,9) (10,0) (0,2) (20,26) (19,2) (28,23) (4,8) (21,25) (7,15) (8,5) (25,28) (2,16) (0,4) (25,8) (1,0) (4,2) (11,8) (29,23) (23,24) (28,1) (0,15)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1217", - "image": "data/cycle/graph_visual/Base/hard/graph1217.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (5,14) (25,22) (11,6) (26,14) (7,27) (16,8) (9,18) (10,5) (16,19) (0,27) (25,17) (16,24) (14,3) (8,25) (9,5) (20,27) (1,27) (10,13) (6,21) (3,12) (23,14) (11,3) (0,19) (8,10) (2,19) (0,1) (0,2) (15,3) (16,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph541", - "image": "data/cycle/graph_visual/Base/hard/graph541.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (14,11) (25,12) (8,12) (6,19) (14,4) (22,21) (21,26) (24,10) (21,13) (20,29) (2,20) (9,5) (3,1) (9,22) (30,12) (14,15) (12,7) (4,3) (22,6) (21,23) (25,13) (29,0) (2,16) (17,10) (16,10) (8,24) (26,4) (19,27) (7,28) (3,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1072", - "image": "data/cycle/graph_visual/Base/hard/graph1072.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (4,25) (13,21) (22,2) (6,5) (10,6) (9,19) (11,5) (5,21) (6,12) (21,24) (8,5) (0,22) (0,3) (22,18) (18,7) (4,17) (1,22) (24,16) (9,23) (1,0) (23,20) (0,14) (0,2) (14,23) (3,12) (25,20) (15,2) (4,0) (14,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph682", - "image": "data/cycle/graph_visual/Base/hard/graph682.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (2,17) (16,8) (10,6) (11,1) (21,28) (23,25) (1,14) (23,19) (10,11) (4,5) (10,27) (5,3) (15,29) (1,2) (31,11) (23,29) (15,14) (0,3) (28,24) (26,20) (10,13) (13,9) (17,22) (7,19) (5,23) (11,20) (30,20) (12,2) (18,25) (16,27) (27,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph504", - "image": "data/cycle/graph_visual/Base/hard/graph504.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (11,2) (27,17) (24,25) (18,9) (17,28) (29,0) (29,8) (3,28) (26,11) (28,14) (29,12) (15,7) (5,18) (20,4) (1,19) (19,21) (5,25) (21,3) (22,12) (23,3) (2,16) (5,4) (27,6) (23,10) (3,15) (11,12) (13,11) (19,26) (1,18) (29,30)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1697", - "image": "data/cycle/graph_visual/Base/hard/graph1697.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (22,3) (5,30) (27,24) (14,1) (12,4) (20,26) (17,31) (19,31) (20,8) (29,3) (6,11) (13,18) (26,16) (3,20) (0,2) (10,0) (21,19) (23,7) (15,27) (17,25) (23,4) (20,7) (2,17) (13,4) (1,0) (10,28) (17,15) (11,18) (28,7) (20,15) (18,30) (30,9) (14,19)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph590", - "image": "data/cycle/graph_visual/Base/hard/graph590.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (3,18) (21,18) (1,10) (29,1) (8,13) (13,0) (11,25) (24,25) (21,20) (25,14) (17,30) (5,15) (26,28) (3,25) (23,24) (21,22) (19,28) (2,26) (17,9) (20,10) (16,4) (2,18) (7,17) (26,5) (1,30) (25,8) (15,16) (16,27) (18,12) (6,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph458", - "image": "data/cycle/graph_visual/Base/hard/graph458.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (4,13) (3,27) (1,18) (15,0) (15,6) (29,22) (25,15) (14,8) (2,27) (2,26) (5,9) (9,17) (11,4) (16,12) (27,7) (20,22) (28,6) (21,6) (1,26) (2,10) (23,6) (20,25) (25,17) (1,12) (1,13) (5,24) (20,19) (4,14) (9,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph623", - "image": "data/cycle/graph_visual/Base/hard/graph623.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (10,2) (23,9) (31,5) (14,20) (15,29) (13,22) (19,26) (6,0) (18,22) (4,13) (0,2) (23,16) (11,15) (8,15) (20,22) (21,7) (29,26) (24,14) (3,1) (5,30) (25,13) (12,7) (16,22) (26,31) (9,3) (17,21) (25,17) (14,29) (28,14) (10,1) (19,27)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph143", - "image": "data/cycle/graph_visual/Base/hard/graph143.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (14,23) (24,23) (26,9) (8,4) (2,11) (2,0) (19,7) (16,7) (10,24) (5,13) (20,1) (15,1) (21,1) (17,20) (23,1) (25,8) (22,24) (3,6) (11,17) (17,16) (10,3) (9,19) (21,18) (12,16) (14,4) (13,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph689", - "image": "data/cycle/graph_visual/Base/hard/graph689.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (29,14) (16,2) (1,18) (2,21) (4,18) (6,28) (16,19) (30,12) (23,14) (30,28) (27,23) (31,30) (5,14) (10,8) (21,13) (29,9) (7,8) (14,17) (7,26) (3,18) (22,8) (25,28) (27,15) (0,26) (24,10) (20,12) (22,23) (14,25) (11,28) (16,7) (4,29)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph535", - "image": "data/cycle/graph_visual/Base/hard/graph535.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (26,2) (16,30) (15,26) (4,23) (29,3) (24,12) (28,10) (0,8) (24,19) (1,4) (3,28) (13,17) (20,23) (10,25) (28,11) (22,27) (26,9) (6,28) (17,20) (24,2) (14,3) (21,10) (8,12) (5,6) (18,8) (7,26) (29,22) (16,15) (17,22) (11,0)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph397", - "image": "data/cycle/graph_visual/Base/hard/graph397.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (27,26) (11,18) (3,5) (24,13) (18,21) (27,25) (17,12) (22,21) (14,24) (28,19) (10,3) (4,26) (7,20) (7,6) (7,17) (27,15) (21,24) (19,2) (6,9) (22,1) (18,19) (12,23) (27,17) (10,14) (7,24) (16,11) (0,6) (8,28)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1286", - "image": "data/cycle/graph_visual/Base/hard/graph1286.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (27,17) (14,5) (2,0) (15,2) (13,8) (3,14) (18,2) (6,16) (22,16) (19,18) (1,8) (12,16) (10,15) (27,24) (11,17) (0,13) (15,12) (16,7) (3,4) (9,21) (23,8) (5,20) (24,25) (11,13) (1,0) (0,3) (9,18) (26,0) (14,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1266", - "image": "data/cycle/graph_visual/Base/hard/graph1266.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (25,4) (5,11) (19,4) (0,13) (27,7) (6,21) (6,22) (5,26) (12,5) (0,1) (24,12) (7,15) (14,18) (26,6) (7,13) (20,13) (4,16) (4,23) (8,17) (6,0) (19,9) (22,10) (14,24) (19,6) (2,23) (17,20) (3,4) (1,3)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph111", - "image": "data/cycle/graph_visual/Base/hard/graph111.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 26, and the edges are: (7,11) (0,21) (26,20) (4,1) (14,25) (17,25) (25,3) (10,8) (6,5) (13,21) (16,23) (13,18) (18,14) (10,16) (17,24) (17,12) (15,13) (2,5) (1,3) (17,10) (14,19) (9,25) (11,25) (14,26) (19,2) (22,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph511", - "image": "data/cycle/graph_visual/Base/hard/graph511.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (24,12) (29,0) (25,17) (16,15) (2,30) (21,7) (28,6) (13,30) (15,25) (17,5) (10,18) (28,11) (7,14) (28,12) (28,27) (2,19) (9,8) (23,29) (12,20) (17,14) (23,18) (14,4) (4,3) (22,10) (23,6) (9,15) (26,29) (15,1) (14,19) (1,6)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph782", - "image": "data/cycle/graph_visual/Base/hard/graph782.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (27,14) (27,7) (16,20) (4,15) (21,32) (23,24) (30,25) (14,21) (2,13) (4,30) (28,17) (5,20) (9,32) (8,18) (28,31) (25,6) (3,19) (11,14) (22,30) (7,29) (8,1) (18,21) (5,25) (12,9) (29,4) (17,9) (3,1) (9,23) (4,0) (2,10) (1,2) (29,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1436", - "image": "data/cycle/graph_visual/Base/hard/graph1436.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (15,1) (4,17) (0,1) (5,26) (10,14) (21,0) (11,2) (22,16) (12,25) (23,15) (0,28) (18,25) (20,2) (2,0) (29,20) (6,25) (8,29) (20,10) (10,5) (5,3) (27,0) (22,2) (10,13) (19,22) (28,16) (12,14) (11,15) (7,6) (10,9) (17,9) (24,11)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1693", - "image": "data/cycle/graph_visual/Base/hard/graph1693.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (5,7) (23,0) (31,20) (28,19) (17,27) (27,23) (3,9) (0,29) (14,4) (27,25) (0,3) (0,30) (13,2) (26,5) (29,6) (18,24) (23,10) (6,12) (23,18) (20,1) (26,13) (0,2) (22,4) (3,5) (8,2) (9,21) (11,28) (2,28) (16,24) (18,15) (0,1) (4,23) (4,0) (26,4) (1,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1957", - "image": "data/cycle/graph_visual/Base/hard/graph1957.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (6,22) (28,33) (2,3) (30,21) (2,0) (10,25) (19,11) (15,13) (5,32) (30,28) (16,25) (34,26) (8,6) (30,13) (29,9) (34,16) (4,21) (16,2) (27,20) (30,12) (1,0) (14,22) (24,18) (9,19) (19,6) (32,17) (4,31) (24,0) (20,13) (7,31) (27,22) (26,1) (6,32) (18,8) (23,8) (16,33)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1675", - "image": "data/cycle/graph_visual/Base/hard/graph1675.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (6,18) (0,3) (7,4) (24,9) (17,20) (22,31) (22,26) (2,22) (24,19) (26,3) (2,0) (5,7) (6,0) (25,24) (11,8) (1,14) (7,10) (21,18) (4,6) (18,12) (13,1) (27,4) (21,28) (29,10) (0,1) (16,10) (14,11) (30,17) (7,14) (18,2) (6,20) (23,19) (0,15) (20,25)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph886", - "image": "data/cycle/graph_visual/Base/hard/graph886.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 33, and the edges are: (19,6) (17,7) (25,8) (28,3) (17,11) (24,16) (5,31) (12,8) (32,16) (26,2) (7,21) (23,26) (33,26) (9,26) (24,15) (3,8) (33,0) (18,14) (21,13) (9,12) (27,20) (7,4) (22,1) (4,19) (10,23) (18,11) (25,20) (5,32) (9,30) (15,1) (32,30) (26,19) (13,29)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph477", - "image": "data/cycle/graph_visual/Base/hard/graph477.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (17,24) (10,20) (29,12) (29,5) (24,7) (27,24) (14,12) (8,22) (22,24) (4,17) (1,15) (19,4) (6,14) (0,13) (23,28) (3,9) (21,18) (26,10) (16,8) (14,16) (9,1) (23,2) (23,11) (17,26) (19,11) (15,27) (16,0) (15,25) (6,21)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1526", - "image": "data/cycle/graph_visual/Base/hard/graph1526.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (2,10) (19,16) (0,16) (0,3) (5,22) (30,24) (14,13) (14,9) (28,9) (27,5) (30,25) (1,0) (1,29) (18,11) (28,7) (21,5) (0,24) (26,2) (11,5) (26,8) (23,0) (17,21) (7,12) (5,6) (20,5) (4,0) (15,16) (28,15) (27,3) (20,8) (0,2) (29,15) (18,4)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1674", - "image": "data/cycle/graph_visual/Base/hard/graph1674.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 31, and the edges are: (19,21) (13,17) (2,10) (20,11) (22,9) (28,10) (8,7) (1,0) (20,31) (27,14) (12,13) (24,11) (25,9) (31,0) (12,19) (5,3) (5,6) (22,29) (16,3) (30,1) (28,14) (2,0) (1,29) (30,12) (15,2) (2,1) (22,24) (26,3) (18,11) (4,29) (23,5) (8,24) (19,26)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph514", - "image": "data/cycle/graph_visual/Base/hard/graph514.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (2,30) (9,6) (5,24) (7,24) (24,29) (18,27) (19,5) (18,26) (15,2) (14,26) (25,20) (28,3) (8,5) (16,25) (9,12) (8,21) (1,13) (15,10) (25,1) (26,4) (6,29) (3,15) (5,22) (21,23) (26,17) (9,17) (15,13) (3,4) (4,0) (11,16)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph271", - "image": "data/cycle/graph_visual/Base/hard/graph271.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (7,6) (7,1) (6,22) (4,11) (17,24) (20,13) (0,26) (21,8) (14,18) (12,20) (17,5) (8,17) (20,27) (15,11) (16,2) (15,12) (19,15) (22,15) (17,26) (17,15) (19,10) (2,19) (25,26) (18,0) (9,4) (7,23) (3,18)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph709", - "image": "data/cycle/graph_visual/Base/hard/graph709.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (23,21) (4,6) (8,15) (6,8) (28,23) (4,1) (27,19) (0,12) (12,26) (7,25) (9,27) (2,1) (1,22) (19,11) (30,4) (6,11) (31,8) (13,3) (14,2) (3,1) (5,17) (32,5) (17,4) (20,15) (17,18) (23,10) (15,29) (16,26) (12,11) (16,28) (20,7) (24,30)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph738", - "image": "data/cycle/graph_visual/Base/hard/graph738.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (15,0) (27,20) (13,18) (18,16) (11,14) (0,11) (30,21) (19,12) (25,8) (23,1) (7,30) (31,4) (17,10) (31,11) (32,9) (6,24) (23,28) (2,27) (22,15) (3,9) (10,16) (5,26) (29,31) (22,20) (10,2) (12,6) (7,8) (19,22) (31,5) (1,19) (32,28) (5,30)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1047", - "image": "data/cycle/graph_visual/Base/hard/graph1047.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 25, and the edges are: (3,19) (19,15) (9,23) (7,12) (2,1) (4,19) (11,5) (4,12) (17,14) (18,21) (22,23) (20,4) (23,6) (16,11) (5,8) (0,25) (20,0) (10,22) (21,19) (24,22) (7,10) (25,2) (9,11) (22,13) (1,0) (17,22)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph970", - "image": "data/cycle/graph_visual/Base/hard/graph970.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 34, and the edges are: (23,27) (6,23) (3,11) (19,3) (8,18) (25,10) (27,3) (7,33) (6,17) (13,21) (14,3) (15,4) (14,30) (5,27) (7,29) (16,34) (25,32) (13,2) (5,22) (20,32) (4,28) (14,2) (26,9) (7,34) (0,20) (5,15) (2,8) (3,25) (26,18) (31,3) (12,4) (26,24) (9,1) (9,34)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph715", - "image": "data/cycle/graph_visual/Base/hard/graph715.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (23,16) (13,30) (10,2) (6,13) (18,26) (28,17) (0,2) (9,12) (19,13) (22,25) (27,11) (20,9) (4,3) (4,25) (32,29) (7,20) (32,23) (19,9) (1,6) (15,20) (8,26) (18,9) (26,21) (24,4) (16,4) (24,6) (10,29) (28,12) (28,14) (22,5) (27,26) (6,31)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1592", - "image": "data/cycle/graph_visual/Base/hard/graph1592.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 30, and the edges are: (28,22) (25,19) (2,0) (16,21) (1,27) (0,4) (16,27) (13,14) (18,6) (19,20) (0,3) (16,15) (9,4) (0,14) (11,24) (29,5) (29,10) (2,4) (17,2) (17,25) (27,8) (27,23) (5,3) (14,3) (14,12) (28,25) (14,9) (17,7) (24,18) (22,30) (5,6) (0,1) (26,25) (15,20)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1351", - "image": "data/cycle/graph_visual/Base/hard/graph1351.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 28, and the edges are: (1,28) (21,8) (9,25) (23,27) (2,0) (2,3) (20,27) (13,27) (1,0) (21,28) (8,17) (2,13) (4,10) (12,28) (24,11) (0,5) (28,15) (20,19) (3,22) (14,28) (4,16) (10,15) (6,23) (18,25) (7,21) (5,26) (13,0) (3,4) (18,28) (10,24)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1733", - "image": "data/cycle/graph_visual/Base/hard/graph1733.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (10,5) (2,0) (1,7) (25,9) (31,16) (20,19) (23,24) (16,19) (0,13) (29,23) (3,11) (28,15) (6,27) (12,19) (29,1) (8,28) (24,2) (31,18) (2,9) (3,0) (4,22) (26,6) (13,7) (27,4) (17,23) (13,18) (8,11) (3,4) (6,7) (4,32) (32,30) (17,21) (22,14) (5,30) (0,1)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph282", - "image": "data/cycle/graph_visual/Base/hard/graph282.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 27, and the edges are: (5,18) (5,11) (26,27) (0,3) (16,0) (10,7) (21,9) (22,3) (13,11) (5,27) (6,2) (5,17) (0,24) (19,0) (2,26) (7,14) (15,23) (16,15) (1,18) (20,8) (27,24) (14,16) (4,5) (21,8) (25,15) (5,20) (12,9)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "No." - } - ] - }, - { - "id": "cycle-hard-graph1713", - "image": "data/cycle/graph_visual/Base/hard/graph1713.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 32, and the edges are: (8,10) (26,18) (16,8) (4,15) (17,1) (17,31) (25,28) (2,7) (0,15) (6,30) (9,23) (0,27) (1,0) (19,11) (7,26) (31,26) (28,10) (0,2) (2,22) (14,17) (21,0) (32,3) (5,3) (4,10) (24,23) (26,12) (13,2) (30,31) (24,2) (28,20) (11,22) (30,10) (24,32) (0,3) (29,14)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - }, - { - "id": "cycle-hard-graph1460", - "image": "data/cycle/graph_visual/Base/hard/graph1460.png", - "conversations": [ - { - "from": "human", - "value": "\nIn this undirected graph, (i,j) means that node i and node j are connected with an undirected edge.\nThe nodes are numbered from 0 to 29, and the edges are: (0,1) (29,12) (19,3) (15,14) (4,16) (21,26) (16,6) (15,11) (29,25) (25,20) (4,24) (17,12) (7,28) (27,6) (8,1) (24,3) (0,27) (26,29) (28,18) (16,8) (15,23) (19,25) (5,24) (11,18) (9,22) (13,10) (9,4) (1,13) (2,12) (9,28)<\nIs there a cycle in this undirected graph?" - }, - { - "from": "gpt", - "value": "Yes." - } - ] - } -] \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:dd5763aa5094102546b6eeab72c1b19355317b64a568be457b5824a13bc54891 +size 2051909