task
class label 5
classes | type
class label 2
classes | prompt
stringlengths 298
1.22k
| input
stringclasses 10
values | output
stringlengths 3
6
|
|---|---|---|---|---|
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 7), (0, 12), (1, 6), (1, 7), (1, 11), (1, 12), (1, 13), (2, 3), (2, 6), (2, 8), (2, 14), (3, 8), (3, 9), (3, 10), (3, 12), (4, 6), (4, 9), (5, 7), (5, 8), (5, 9), (5, 10), (5, 11), (5, 12), (6, 8), (6, 12), (6, 14), (7, 9), (7, 11), (7, 13), (7, 15), (8, 10), (8, 11), (9, 12), (9, 13), (10, 12), (12, 15), (13, 14), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.30" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 3), (0, 5), (0, 7), (0, 9), (0, 12), (0, 13), (0, 15), (0, 16), (0, 18), (1, 2), (1, 3), (1, 5), (1, 6), (1, 8), (1, 10), (1, 13), (1, 14), (1, 18), (1, 19), (2, 7), (2, 8), (2, 10), (2, 14), (2, 15), (2, 17), (2, 18), (3, 6), (3, 7), (3, 10), (3, 12), (3, 13), (3, 14), (3, 15), (3, 16), (3, 17), (4, 10), (4, 11), (4, 12), (4, 14), (4, 16), (4, 18), (4, 19), (5, 6), (5, 7), (5, 10), (5, 11), (5, 12), (5, 13), (5, 14), (5, 17), (5, 18), (5, 19), (6, 7), (6, 8), (6, 10), (6, 11), (6, 14), (6, 16), (6, 18), (7, 8), (7, 9), (7, 12), (7, 15), (7, 18), (8, 10), (8, 11), (8, 13), (8, 15), (8, 16), (8, 17), (8, 19), (9, 10), (9, 11), (9, 15), (9, 17), (9, 18), (9, 19), (10, 11), (10, 12), (10, 14), (10, 15), (10, 16), (10, 17), (10, 18), (11, 12), (11, 13), (11, 14), (12, 13), (12, 14), (12, 18), (12, 19), (14, 15), (14, 18), (14, 19), (15, 17), (15, 19), (16, 17), (16, 18), (17, 18), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.50" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 4), (0, 8), (1, 9), (3, 5), (4, 8), (5, 8), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.50" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 2), (0, 6), (0, 7), (0, 8), (0, 11), (1, 2), (1, 6), (1, 7), (1, 8), (1, 9), (2, 3), (2, 4), (2, 7), (2, 8), (2, 9), (2, 10), (3, 5), (3, 8), (4, 5), (4, 7), (4, 8), (4, 9), (4, 11), (5, 6), (5, 10), (6, 7), (6, 10), (7, 8), (7, 9), (7, 10), (7, 11), (9, 11), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.48" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 1), (0, 6), (0, 7), (0, 9), (0, 10), (0, 12), (0, 13), (0, 14), (0, 15), (1, 4), (1, 6), (1, 9), (1, 12), (2, 5), (2, 6), (2, 7), (2, 10), (2, 13), (2, 14), (2, 15), (3, 4), (3, 5), (3, 11), (3, 12), (3, 13), (3, 15), (4, 6), (4, 7), (4, 9), (4, 11), (4, 14), (4, 15), (5, 6), (5, 7), (5, 8), (5, 10), (6, 7), (6, 12), (6, 13), (7, 8), (7, 11), (7, 14), (8, 12), (8, 13), (8, 14), (8, 15), (10, 14), (10, 15), (11, 12), (12, 13), (13, 15), (14, 15), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.41" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 6), (0, 7), (0, 9), (1, 4), (1, 10), (1, 12), (2, 3), (2, 4), (2, 5), (3, 6), (3, 10), (4, 12), (5, 7), (5, 9), (5, 10), (5, 12), (7, 11), (9, 12), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.15" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 1), (0, 4), (0, 5), (0, 7), (0, 10), (0, 13), (1, 2), (1, 3), (1, 4), (1, 7), (1, 10), (1, 12), (2, 4), (2, 5), (2, 9), (2, 10), (2, 12), (2, 13), (3, 4), (3, 5), (3, 6), (3, 8), (3, 9), (3, 12), (4, 5), (4, 6), (4, 9), (4, 13), (5, 7), (5, 8), (5, 9), (5, 13), (6, 7), (6, 8), (6, 11), (7, 8), (7, 10), (7, 11), (7, 12), (8, 13), (9, 12), (10, 13), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.47" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 2), (0, 4), (0, 5), (0, 11), (1, 5), (1, 6), (1, 10), (1, 14), (2, 7), (2, 10), (2, 11), (2, 12), (2, 14), (3, 5), (3, 10), (3, 11), (3, 14), (4, 9), (4, 10), (4, 14), (5, 8), (5, 10), (5, 11), (5, 13), (5, 14), (6, 7), (6, 8), (6, 9), (6, 13), (6, 14), (7, 10), (7, 13), (8, 13), (9, 10), (11, 14), (12, 13), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.31" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 9), (1, 12), (2, 3), (2, 5), (3, 6), (3, 7), (4, 9), (4, 12), (5, 9), (5, 11), (5, 12), (7, 11), (10, 13), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 9), (0, 16), (0, 17), (1, 3), (1, 4), (2, 7), (2, 14), (2, 16), (3, 15), (4, 6), (4, 14), (6, 17), (7, 10), (7, 11), (7, 16), (9, 11), (9, 16), (9, 17), (12, 13), (12, 14), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.24" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 3), (0, 6), (0, 7), (0, 8), (0, 17), (1, 4), (1, 10), (2, 16), (3, 13), (3, 14), (4, 12), (4, 17), (6, 8), (7, 9), (7, 10), (8, 15), (9, 13), (9, 17), (11, 16), (12, 13), (13, 15), (15, 16), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.07" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 3), (0, 8), (0, 9), (1, 3), (1, 5), (2, 5), (3, 5), (4, 7), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.30" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 3), (1, 4), (1, 9), (1, 13), (1, 15), (2, 6), (2, 17), (3, 5), (3, 10), (4, 8), (5, 13), (6, 7), (6, 17), (7, 10), (7, 15), (9, 17), (11, 14), (12, 15), (13, 17), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.09" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 3), (0, 4), (0, 5), (0, 9), (0, 10), (0, 13), (0, 14), (1, 11), (2, 6), (2, 10), (2, 11), (2, 14), (3, 5), (3, 11), (3, 13), (4, 5), (4, 6), (4, 11), (4, 14), (5, 8), (5, 10), (6, 8), (6, 10), (7, 9), (7, 10), (7, 12), (7, 15), (11, 14), (12, 13), (14, 15), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.24" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 3), (0, 4), (0, 6), (0, 8), (0, 9), (0, 11), (0, 12), (0, 14), (1, 2), (1, 12), (1, 13), (2, 4), (2, 7), (2, 10), (2, 11), (2, 12), (3, 7), (3, 11), (3, 12), (3, 13), (3, 14), (4, 5), (4, 6), (4, 8), (4, 10), (4, 12), (5, 7), (5, 9), (5, 10), (6, 11), (6, 12), (7, 11), (7, 12), (7, 13), (8, 9), (8, 14), (9, 10), (9, 13), (9, 14), (10, 12), (11, 13), (11, 14), (12, 13), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.43" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 9), (0, 12), (0, 16), (1, 2), (1, 3), (1, 4), (1, 7), (1, 8), (1, 10), (1, 11), (1, 14), (2, 3), (2, 5), (2, 7), (3, 4), (3, 8), (3, 9), (3, 10), (3, 11), (3, 12), (3, 17), (4, 10), (4, 12), (4, 13), (4, 16), (4, 17), (5, 6), (5, 14), (5, 17), (6, 9), (6, 12), (6, 13), (6, 14), (7, 10), (7, 13), (7, 15), (7, 16), (7, 17), (8, 9), (8, 10), (8, 11), (9, 13), (9, 14), (9, 16), (10, 11), (10, 12), (10, 13), (10, 15), (10, 17), (11, 13), (11, 14), (11, 15), (11, 16), (11, 17), (12, 14), (12, 15), (12, 16), (13, 16), (13, 17), (14, 15), (14, 16), (14, 17), (15, 17), (16, 17), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.45" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 3), (1, 2), (1, 7), (1, 8), (2, 7), (3, 4), (3, 5), (4, 6), (4, 8), (5, 9), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.23" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 2), (0, 8), (1, 3), (1, 4), (2, 12), (2, 14), (3, 11), (4, 10), (4, 14), (5, 9), (5, 11), (5, 14), (6, 8), (7, 13), (8, 10), (8, 12), (8, 14), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 4), (0, 5), (0, 8), (1, 8), (1, 9), (2, 3), (3, 8), (6, 7), (6, 8), (6, 9), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 7), (0, 9), (0, 14), (1, 2), (1, 13), (2, 4), (2, 12), (3, 5), (4, 6), (4, 11), (4, 14), (5, 6), (5, 12), (6, 9), (8, 9), (10, 15), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 3), (0, 9), (0, 10), (0, 11), (1, 7), (1, 8), (1, 9), (1, 11), (1, 14), (2, 9), (2, 11), (3, 4), (3, 5), (3, 7), (3, 8), (3, 10), (3, 11), (3, 12), (3, 14), (4, 6), (4, 9), (4, 14), (5, 11), (5, 12), (5, 14), (6, 9), (7, 8), (7, 11), (7, 14), (8, 9), (9, 10), (9, 12), (9, 13), (10, 12), (11, 12), (12, 13), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "2.40" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 10), (2, 7), (3, 6), (5, 9), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.36" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 3), (0, 4), (1, 6), (1, 8), (1, 10), (2, 13), (3, 8), (3, 9), (3, 13), (3, 16), (4, 7), (4, 8), (4, 13), (4, 17), (5, 9), (5, 17), (7, 9), (7, 14), (8, 14), (8, 16), (10, 14), (10, 17), (13, 16), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "1.28" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 7), (0, 9), (1, 12), (1, 15), (2, 3), (2, 9), (2, 17), (3, 5), (3, 9), (3, 10), (3, 11), (3, 12), (3, 15), (3, 17), (4, 5), (4, 9), (4, 13), (4, 14), (4, 17), (5, 7), (5, 8), (5, 12), (6, 10), (6, 16), (7, 14), (7, 16), (7, 17), (8, 10), (8, 13), (9, 13), (9, 16), (9, 17), (10, 12), (10, 17), (11, 12), (12, 13), (12, 14), (12, 15), (12, 16), (13, 15), (13, 16), (13, 17), (15, 17), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "2.39" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 1), (0, 7), (1, 3), (1, 8), (1, 9), (2, 4), (3, 4), (5, 8), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.80" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 3), (0, 4), (0, 7), (0, 8), (0, 15), (0, 17), (1, 6), (1, 9), (1, 11), (1, 13), (1, 14), (1, 16), (1, 17), (1, 18), (2, 4), (2, 6), (2, 9), (2, 10), (2, 11), (3, 8), (3, 15), (3, 17), (4, 13), (4, 17), (5, 7), (5, 10), (5, 15), (6, 7), (6, 9), (6, 11), (6, 12), (6, 13), (6, 14), (7, 8), (7, 17), (8, 9), (8, 10), (8, 11), (8, 13), (8, 14), (9, 14), (10, 11), (10, 13), (10, 18), (11, 16), (11, 17), (13, 17), (15, 17), (16, 18), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "2.58" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 2), (0, 5), (0, 9), (0, 11), (0, 15), (1, 14), (2, 11), (3, 6), (3, 10), (4, 9), (4, 12), (5, 10), (6, 7), (6, 8), (6, 12), (7, 8), (9, 11), (9, 13), (10, 11), (12, 13), (12, 14), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "1.31" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 1), (0, 6), (0, 7), (0, 10), (0, 14), (1, 4), (1, 5), (1, 16), (2, 3), (2, 6), (2, 12), (2, 13), (2, 14), (2, 15), (2, 16), (3, 4), (3, 6), (3, 8), (3, 10), (3, 11), (3, 12), (3, 13), (4, 7), (4, 11), (4, 15), (5, 8), (5, 9), (5, 11), (5, 12), (5, 14), (5, 15), (6, 8), (6, 10), (6, 13), (6, 14), (6, 15), (6, 16), (7, 8), (7, 11), (7, 15), (7, 16), (8, 9), (8, 10), (8, 11), (8, 12), (8, 14), (8, 15), (8, 16), (9, 10), (9, 11), (9, 12), (9, 13), (9, 16), (10, 12), (10, 15), (10, 16), (11, 13), (11, 15), (11, 16), (12, 14), (13, 14), (13, 15), (14, 16), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "3.71" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 1), (0, 3), (0, 5), (0, 11), (0, 14), (0, 17), (1, 2), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (1, 11), (1, 12), (1, 13), (2, 3), (2, 4), (2, 7), (2, 8), (2, 9), (2, 17), (3, 7), (3, 9), (3, 10), (3, 11), (3, 12), (3, 16), (4, 5), (4, 7), (4, 11), (4, 13), (4, 16), (5, 7), (5, 9), (5, 11), (5, 16), (6, 9), (6, 16), (7, 8), (7, 9), (7, 10), (7, 11), (7, 14), (7, 16), (8, 10), (8, 11), (8, 17), (9, 11), (9, 14), (9, 15), (10, 12), (10, 13), (10, 14), (10, 16), (11, 13), (11, 14), (12, 15), (12, 16), (13, 14), (14, 16), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "3.33" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 6), (0, 7), (0, 10), (2, 6), (2, 9), (2, 10), (3, 4), (3, 5), (5, 7), (5, 8), (6, 7), (7, 9), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "1.09" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 4), (0, 5), (0, 7), (0, 8), (0, 12), (0, 14), (1, 5), (1, 6), (1, 7), (1, 11), (1, 13), (1, 16), (2, 3), (2, 6), (2, 9), (2, 15), (3, 4), (3, 6), (3, 16), (4, 9), (4, 14), (4, 16), (4, 18), (5, 8), (5, 11), (6, 9), (6, 12), (6, 13), (6, 15), (7, 8), (7, 11), (7, 14), (7, 15), (7, 16), (7, 17), (8, 9), (8, 11), (8, 13), (8, 16), (10, 14), (10, 18), (11, 12), (11, 14), (11, 15), (11, 16), (12, 14), (12, 15), (12, 16), (12, 18), (13, 15), (14, 17), (15, 16), (17, 18), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "2.79" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 2), (0, 3), (0, 6), (0, 7), (0, 10), (1, 2), (1, 4), (1, 6), (1, 10), (1, 11), (2, 4), (3, 5), (3, 7), (3, 8), (3, 9), (3, 11), (4, 5), (4, 6), (5, 6), (5, 7), (6, 7), (6, 8), (6, 9), (7, 8), (7, 10), (8, 9), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "2.17" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 1), (0, 4), (0, 7), (0, 9), (0, 10), (0, 12), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 10), (1, 12), (2, 5), (2, 6), (2, 7), (2, 9), (2, 10), (2, 11), (2, 12), (3, 4), (3, 6), (3, 8), (3, 11), (4, 6), (4, 7), (4, 11), (4, 12), (5, 6), (5, 8), (5, 9), (5, 10), (6, 7), (6, 8), (6, 9), (6, 10), (6, 11), (7, 9), (7, 10), (7, 11), (8, 10), (8, 11), (9, 10), (9, 12), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "3.38" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 4), (0, 7), (0, 16), (1, 3), (1, 5), (1, 6), (1, 7), (1, 14), (1, 17), (2, 5), (2, 6), (2, 7), (2, 9), (3, 11), (4, 8), (4, 10), (4, 15), (4, 16), (5, 17), (6, 15), (7, 11), (7, 16), (9, 13), (10, 12), (10, 15), (10, 16), (11, 14), (11, 15), (11, 16), (12, 16), (14, 15), (16, 17), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "1.78" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 3), (0, 5), (0, 6), (0, 9), (1, 2), (1, 6), (1, 10), (1, 17), (2, 3), (2, 10), (2, 12), (2, 13), (2, 15), (2, 18), (3, 5), (3, 9), (3, 11), (4, 6), (4, 9), (4, 13), (4, 14), (5, 8), (5, 9), (5, 11), (5, 14), (5, 16), (5, 17), (5, 18), (6, 7), (6, 11), (6, 15), (6, 16), (7, 8), (7, 9), (7, 13), (7, 17), (8, 10), (8, 11), (8, 12), (8, 13), (8, 16), (8, 18), (10, 11), (10, 12), (10, 15), (11, 14), (11, 17), (11, 18), (13, 16), (14, 15), (14, 16), (14, 18), (15, 16), (15, 17), (16, 17), (16, 18), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "2.95" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 2), (0, 7), (1, 7), (1, 8), (1, 12), (2, 3), (2, 8), (2, 11), (3, 8), (4, 6), (4, 9), (4, 12), (5, 8), (5, 10), (5, 11), (6, 8), (6, 10), (7, 9), (11, 12), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "1.46" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 9), (1, 7), (1, 12), (2, 7), (3, 6), (3, 10), (4, 9), (4, 10), (4, 11), (5, 6), (5, 9), (5, 12), (8, 11), (9, 10), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "1.08" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 1), (0, 2), (0, 4), (0, 6), (1, 2), (1, 6), (2, 3), (2, 5), (2, 6), (2, 7), (2, 8), (2, 9), (3, 6), (3, 8), (3, 9), (3, 10), (3, 11), (4, 5), (4, 6), (4, 7), (4, 11), (5, 6), (5, 7), (5, 9), (6, 7), (6, 8), (6, 10), (7, 10), (7, 11), (9, 10), (10, 11), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "2.58" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 2), (0, 5), (0, 6), (0, 9), (0, 12), (1, 2), (1, 3), (1, 4), (1, 7), (1, 8), (1, 9), (2, 5), (2, 8), (2, 10), (2, 12), (3, 4), (3, 6), (3, 11), (4, 5), (4, 9), (4, 11), (5, 7), (5, 10), (6, 7), (6, 9), (6, 11), (7, 12), (8, 9), (8, 11), (9, 12), (10, 11), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "2.38" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 1), (0, 3), (0, 5), (0, 6), (0, 7), (0, 10), (0, 11), (1, 2), (1, 13), (2, 9), (2, 12), (3, 11), (4, 7), (5, 8), (5, 13), (6, 12), (6, 13), (7, 10), (7, 12), (8, 9), (8, 12), (8, 13), (9, 14), (10, 11), (11, 14), (12, 14), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "1.73" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 1), (0, 2), (0, 3), (0, 7), (0, 15), (1, 5), (1, 10), (1, 13), (1, 16), (2, 10), (2, 11), (2, 12), (2, 14), (3, 4), (3, 6), (3, 9), (3, 10), (4, 13), (4, 15), (5, 7), (5, 13), (7, 8), (7, 9), (8, 10), (9, 10), (9, 15), (11, 12), (11, 14), (13, 15), (13, 16), (14, 15), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "1.82" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 4), (0, 9), (0, 13), (0, 16), (1, 3), (1, 6), (1, 14), (2, 6), (2, 12), (2, 15), (4, 6), (4, 8), (4, 10), (4, 13), (4, 16), (4, 18), (5, 8), (5, 10), (6, 8), (7, 9), (7, 14), (8, 9), (8, 11), (8, 15), (9, 11), (9, 12), (11, 16), (12, 14), (12, 18), (13, 16), (13, 18), (14, 17), (15, 18), (16, 18), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "1.79" |
4average_degree
| 0directed
| Given an undirected graph with edges (1, 5), (1, 6), (2, 9), (2, 10), (3, 5), (4, 6), (4, 7), (5, 7), (6, 7), (7, 10), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.91" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 2), (0, 3), (0, 5), (0, 9), (1, 2), (1, 4), (2, 3), (2, 9), (3, 4), (3, 7), (5, 7), (6, 7), (7, 9), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "1.30" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 1), (0, 3), (0, 5), (0, 8), (1, 2), (1, 4), (1, 5), (1, 6), (1, 9), (2, 3), (2, 5), (2, 8), (2, 9), (3, 4), (3, 7), (3, 8), (3, 9), (4, 6), (5, 7), (5, 8), (6, 7), (6, 8), (7, 8), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "2.30" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 7), (0, 10), (0, 12), (1, 2), (1, 6), (1, 10), (1, 11), (1, 12), (2, 4), (2, 6), (2, 8), (2, 11), (2, 12), (3, 9), (3, 10), (3, 12), (4, 6), (4, 8), (4, 10), (4, 12), (5, 7), (5, 8), (5, 9), (5, 10), (5, 11), (6, 9), (6, 11), (6, 12), (7, 10), (7, 11), (7, 12), (8, 11), (9, 10), (9, 11), (10, 11), (11, 12), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "2.77" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 2), (0, 4), (0, 6), (0, 9), (0, 10), (0, 11), (1, 3), (1, 4), (1, 5), (2, 4), (2, 6), (2, 7), (2, 8), (2, 9), (3, 7), (3, 11), (4, 5), (4, 7), (4, 10), (5, 11), (5, 12), (6, 7), (6, 8), (6, 9), (6, 10), (6, 12), (7, 8), (7, 9), (7, 10), (7, 11), (7, 12), (8, 12), (9, 11), (10, 12), (11, 12), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "2.69" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 2), (0, 4), (0, 13), (0, 14), (0, 16), (1, 3), (1, 4), (1, 5), (1, 15), (2, 6), (2, 8), (2, 16), (3, 4), (3, 6), (3, 8), (3, 11), (3, 14), (4, 5), (4, 6), (4, 7), (4, 9), (4, 12), (4, 15), (4, 16), (4, 17), (5, 6), (5, 7), (5, 10), (5, 15), (6, 12), (6, 15), (6, 17), (7, 15), (7, 16), (8, 9), (8, 16), (9, 10), (9, 11), (9, 12), (9, 15), (10, 11), (10, 12), (10, 15), (10, 16), (11, 13), (11, 14), (11, 15), (11, 17), (13, 16), (14, 16), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "2.78" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 1), (0, 2), (1, 4), (1, 5), (1, 10), (2, 5), (2, 6), (2, 10), (3, 4), (6, 9), (9, 10), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "1.00" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 1), (0, 3), (0, 5), (0, 6), (0, 7), (0, 8), (0, 10), (0, 12), (0, 14), (1, 2), (1, 5), (1, 6), (1, 9), (1, 10), (1, 11), (1, 12), (1, 13), (2, 4), (2, 9), (2, 11), (2, 12), (2, 13), (3, 6), (3, 8), (3, 9), (3, 12), (3, 14), (4, 8), (4, 9), (4, 10), (4, 11), (4, 14), (5, 6), (5, 8), (5, 10), (5, 13), (5, 14), (6, 7), (6, 8), (6, 9), (6, 11), (6, 14), (7, 8), (7, 11), (7, 13), (7, 14), (8, 9), (8, 11), (8, 13), (9, 10), (9, 11), (9, 12), (9, 13), (10, 13), (10, 14), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "3.67" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 1), (0, 4), (0, 5), (0, 9), (0, 14), (0, 17), (1, 3), (1, 6), (1, 8), (1, 9), (1, 11), (1, 14), (2, 3), (2, 5), (2, 6), (2, 7), (2, 13), (2, 15), (3, 5), (3, 6), (3, 7), (3, 12), (3, 13), (3, 14), (3, 15), (3, 16), (3, 18), (4, 9), (4, 12), (4, 13), (5, 11), (5, 14), (5, 16), (5, 18), (6, 14), (6, 18), (7, 10), (7, 15), (7, 16), (8, 13), (8, 18), (9, 11), (9, 17), (9, 18), (11, 12), (11, 13), (11, 15), (11, 18), (12, 13), (12, 14), (13, 15), (13, 16), (13, 18), (15, 16), (17, 18), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "2.89" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 2), (0, 4), (0, 5), (0, 6), (0, 7), (0, 12), (0, 15), (0, 16), (1, 4), (1, 5), (1, 12), (1, 15), (1, 17), (2, 5), (2, 10), (2, 14), (2, 18), (2, 19), (3, 5), (3, 6), (3, 7), (3, 11), (3, 12), (3, 16), (3, 17), (4, 7), (4, 10), (4, 11), (4, 12), (4, 17), (4, 18), (4, 19), (5, 6), (5, 10), (5, 11), (5, 12), (5, 18), (6, 12), (6, 14), (6, 15), (7, 8), (7, 11), (7, 13), (7, 14), (8, 9), (8, 11), (8, 14), (8, 15), (9, 15), (9, 17), (9, 18), (10, 12), (10, 18), (10, 19), (11, 13), (11, 14), (11, 15), (11, 17), (11, 18), (11, 19), (12, 13), (12, 14), (12, 18), (13, 16), (13, 18), (13, 19), (14, 17), (17, 19), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "3.40" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 3), (0, 6), (0, 10), (0, 13), (1, 8), (1, 9), (2, 8), (2, 9), (2, 10), (3, 9), (4, 9), (4, 12), (5, 7), (5, 13), (6, 10), (6, 12), (6, 15), (7, 8), (7, 9), (7, 14), (7, 15), (8, 9), (12, 14), (13, 15), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "1.50" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 9), (0, 13), (1, 4), (1, 9), (1, 10), (2, 4), (2, 7), (2, 9), (2, 10), (2, 12), (3, 9), (3, 12), (3, 14), (4, 5), (4, 11), (4, 13), (4, 14), (5, 7), (5, 10), (6, 10), (6, 11), (9, 11), (9, 12), (9, 13), (9, 15), (10, 12), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "1.62" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 4), (0, 7), (0, 8), (0, 14), (1, 3), (1, 5), (1, 10), (1, 13), (1, 17), (2, 3), (2, 4), (2, 7), (2, 15), (3, 8), (3, 10), (3, 15), (4, 6), (4, 11), (4, 14), (4, 16), (5, 6), (5, 7), (5, 11), (5, 17), (6, 7), (6, 15), (6, 17), (7, 18), (8, 15), (8, 17), (9, 12), (10, 17), (11, 15), (11, 16), (12, 13), (13, 15), (14, 16), (16, 18), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "2.00" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 2), (0, 3), (0, 7), (0, 9), (0, 11), (0, 13), (0, 15), (1, 2), (1, 4), (1, 14), (1, 15), (2, 7), (2, 8), (2, 9), (2, 10), (2, 13), (3, 4), (3, 6), (3, 9), (3, 14), (3, 16), (4, 6), (4, 10), (4, 16), (5, 6), (5, 10), (5, 12), (6, 8), (6, 11), (6, 12), (6, 15), (7, 11), (7, 12), (7, 17), (8, 10), (8, 13), (8, 14), (8, 16), (8, 17), (9, 14), (9, 15), (10, 17), (11, 13), (11, 14), (11, 16), (11, 17), (12, 13), (12, 16), (14, 16), (14, 17), (15, 17), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "2.83" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 1), (0, 6), (0, 7), (0, 10), (2, 3), (2, 5), (2, 8), (5, 9), (6, 10), (8, 9), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.91" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 10), (1, 4), (1, 9), (2, 7), (2, 8), (3, 7), (3, 9), (3, 10), (4, 10), (5, 7), (5, 9), (5, 10), (6, 7), (6, 10), (7, 10), (8, 10), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "1.45" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 1), (0, 2), (0, 3), (0, 4), (0, 7), (0, 8), (0, 9), (0, 14), (1, 2), (1, 5), (1, 8), (1, 10), (1, 11), (1, 13), (2, 4), (2, 7), (2, 8), (2, 9), (2, 10), (2, 14), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (3, 9), (3, 12), (4, 6), (4, 11), (4, 12), (5, 8), (5, 9), (5, 10), (5, 14), (6, 7), (6, 8), (6, 13), (7, 8), (7, 12), (7, 13), (8, 9), (8, 10), (8, 11), (8, 12), (8, 13), (9, 10), (9, 14), (10, 12), (11, 12), (11, 14), (12, 14), (13, 14), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "3.47" |
4average_degree
| 0directed
| Given an undirected graph with edges (0, 10), (0, 15), (1, 4), (1, 5), (1, 6), (1, 10), (1, 18), (2, 4), (2, 13), (3, 18), (4, 5), (5, 17), (6, 8), (7, 19), (8, 10), (8, 15), (9, 13), (9, 19), (11, 12), (12, 13), (12, 15), (14, 16), (14, 18), (15, 16), (15, 17), (16, 18), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "directed", "num_workers": 1} | "1.30" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 6), (0, 9), (1, 4), (2, 4), (2, 13), (3, 6), (3, 15), (4, 8), (4, 11), (5, 9), (5, 12), (6, 12), (6, 13), (8, 10), (8, 12), (9, 10), (9, 13), (10, 16), (11, 13), (13, 15), (14, 15), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "1.24" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 4), (0, 8), (0, 9), (0, 10), (0, 11), (0, 13), (1, 3), (1, 4), (1, 6), (1, 12), (2, 6), (2, 7), (2, 10), (2, 11), (3, 5), (3, 7), (3, 10), (3, 13), (4, 6), (4, 7), (4, 9), (4, 11), (4, 13), (5, 7), (5, 9), (5, 11), (5, 13), (6, 7), (6, 9), (7, 8), (7, 9), (7, 10), (7, 11), (7, 12), (8, 11), (8, 13), (10, 12), (11, 13), (12, 13), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "2.79" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 2), (0, 3), (0, 8), (0, 9), (0, 13), (1, 5), (1, 6), (1, 8), (1, 10), (1, 13), (2, 3), (2, 5), (2, 6), (2, 7), (2, 8), (2, 12), (2, 13), (3, 4), (3, 6), (3, 7), (3, 9), (3, 11), (3, 12), (3, 13), (3, 14), (4, 6), (4, 7), (4, 9), (4, 10), (4, 13), (5, 6), (5, 9), (5, 10), (5, 12), (6, 7), (6, 8), (6, 12), (6, 13), (6, 14), (7, 10), (7, 11), (7, 12), (8, 9), (8, 12), (9, 10), (9, 12), (9, 13), (10, 13), (11, 12), (11, 13), (12, 13), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "3.40" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 10), (1, 4), (1, 9), (1, 10), (2, 5), (2, 7), (2, 10), (3, 8), (3, 10), (4, 9), (5, 7), (5, 8), (5, 9), (6, 7), (6, 8), (6, 9), (7, 8), (8, 9), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "1.64" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 3), (0, 4), (0, 7), (0, 12), (1, 5), (1, 7), (1, 8), (1, 9), (2, 3), (2, 4), (2, 6), (2, 7), (2, 9), (3, 7), (3, 9), (3, 11), (4, 5), (4, 6), (4, 11), (4, 12), (5, 6), (5, 8), (5, 9), (5, 11), (6, 8), (6, 9), (6, 12), (8, 12), (9, 10), (9, 12), (11, 12), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "2.38" |
4average_degree
| 1undirected
| Given an undirected graph with edges (1, 2), (1, 8), (2, 7), (3, 8), (3, 10), (4, 13), (6, 11), (6, 14), (8, 10), (8, 16), (8, 17), (11, 15), (11, 17), (12, 18), (15, 17), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.79" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 5), (0, 17), (1, 9), (1, 16), (2, 4), (2, 5), (3, 5), (3, 6), (3, 7), (3, 13), (3, 14), (4, 7), (5, 8), (7, 17), (8, 10), (8, 16), (9, 10), (11, 15), (14, 16), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "1.06" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 8), (0, 9), (0, 10), (1, 8), (1, 10), (1, 13), (2, 12), (3, 6), (3, 8), (3, 11), (4, 6), (4, 8), (5, 6), (5, 10), (6, 7), (6, 11), (7, 12), (7, 13), (8, 11), (9, 11), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "1.43" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 1), (0, 2), (0, 4), (0, 5), (0, 7), (0, 12), (1, 4), (1, 5), (1, 6), (1, 11), (1, 12), (1, 13), (1, 15), (2, 3), (2, 4), (2, 7), (2, 9), (2, 10), (2, 14), (3, 8), (3, 9), (3, 11), (3, 13), (3, 15), (4, 5), (4, 6), (4, 14), (5, 7), (5, 8), (5, 9), (5, 10), (6, 7), (7, 8), (7, 10), (7, 15), (8, 9), (8, 10), (8, 12), (8, 14), (9, 10), (9, 12), (9, 13), (10, 13), (12, 14), (12, 15), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "2.81" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 13), (0, 15), (1, 2), (1, 5), (1, 10), (1, 16), (2, 10), (2, 12), (2, 15), (2, 16), (4, 6), (4, 11), (4, 13), (6, 12), (7, 8), (8, 11), (10, 14), (10, 16), (12, 13), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "1.41" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 1), (0, 2), (0, 5), (0, 6), (0, 12), (1, 3), (1, 7), (1, 10), (1, 12), (2, 5), (2, 7), (2, 10), (2, 11), (2, 13), (3, 4), (3, 8), (3, 10), (3, 11), (3, 13), (4, 7), (4, 10), (4, 11), (4, 14), (5, 12), (5, 14), (6, 8), (6, 12), (6, 15), (7, 11), (7, 12), (7, 14), (8, 10), (8, 12), (8, 13), (9, 10), (9, 12), (9, 13), (9, 14), (9, 15), (10, 11), (10, 12), (10, 13), (11, 15), (12, 13), (13, 15), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "2.81" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 2), (0, 4), (0, 6), (0, 9), (0, 12), (0, 14), (1, 3), (1, 4), (1, 9), (1, 12), (1, 15), (2, 5), (2, 7), (2, 10), (2, 11), (2, 15), (3, 8), (3, 13), (3, 16), (4, 8), (4, 11), (4, 13), (4, 16), (5, 15), (6, 16), (7, 9), (7, 14), (8, 10), (8, 12), (10, 11), (10, 12), (10, 13), (12, 13), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "1.94" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 1), (0, 3), (0, 8), (0, 9), (1, 10), (1, 12), (2, 3), (2, 13), (3, 9), (4, 11), (5, 18), (6, 7), (6, 16), (6, 18), (7, 9), (7, 12), (8, 16), (9, 18), (13, 16), (13, 17), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "1.05" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 9), (0, 10), (0, 12), (1, 2), (2, 11), (4, 5), (4, 10), (5, 9), (6, 10), (7, 8), (7, 9), (8, 9), (8, 12), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "1.00" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 1), (0, 2), (0, 4), (0, 6), (0, 8), (0, 9), (1, 5), (1, 7), (1, 8), (2, 4), (2, 5), (3, 4), (3, 5), (3, 7), (3, 8), (3, 10), (4, 6), (4, 8), (5, 6), (5, 10), (6, 8), (6, 9), (7, 10), (8, 10), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "2.18" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 1), (0, 11), (0, 12), (1, 14), (1, 16), (2, 3), (2, 10), (2, 14), (2, 15), (3, 5), (3, 17), (4, 9), (4, 11), (4, 14), (4, 15), (5, 7), (5, 13), (6, 7), (6, 9), (6, 13), (6, 14), (7, 17), (8, 10), (8, 11), (10, 17), (12, 13), (12, 16), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "1.50" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 5), (0, 9), (0, 10), (0, 13), (0, 14), (1, 17), (2, 4), (2, 7), (2, 9), (2, 12), (2, 13), (3, 6), (3, 8), (3, 9), (4, 7), (4, 12), (4, 16), (5, 9), (5, 10), (6, 15), (6, 17), (7, 17), (8, 10), (8, 13), (8, 16), (9, 10), (9, 14), (9, 15), (10, 14), (10, 17), (11, 13), (11, 17), (12, 17), (13, 14), (14, 15), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "1.94" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 1), (0, 3), (0, 6), (0, 7), (0, 8), (0, 10), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 10), (1, 11), (1, 12), (2, 3), (2, 7), (2, 8), (2, 9), (2, 15), (3, 4), (3, 5), (3, 6), (3, 7), (3, 10), (3, 12), (4, 5), (4, 8), (4, 12), (4, 13), (5, 6), (5, 7), (5, 8), (5, 9), (6, 7), (6, 10), (7, 9), (7, 10), (7, 13), (7, 14), (7, 15), (8, 9), (8, 11), (8, 12), (9, 13), (10, 12), (10, 13), (10, 14), (10, 15), (11, 12), (12, 15), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "3.25" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 1), (0, 9), (0, 10), (0, 12), (0, 14), (0, 15), (1, 3), (1, 4), (1, 9), (1, 11), (1, 13), (1, 15), (2, 10), (2, 11), (2, 13), (2, 14), (2, 16), (3, 6), (3, 10), (3, 15), (3, 16), (4, 5), (4, 6), (4, 7), (4, 10), (4, 12), (4, 15), (5, 9), (5, 16), (6, 9), (6, 10), (6, 11), (6, 14), (7, 8), (7, 10), (7, 13), (8, 11), (8, 12), (8, 14), (8, 15), (9, 12), (9, 14), (9, 15), (9, 16), (10, 11), (10, 14), (10, 15), (11, 15), (12, 14), (12, 15), (13, 15), (13, 16), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "3.06" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 1), (0, 4), (0, 8), (0, 9), (1, 3), (1, 4), (1, 6), (1, 7), (1, 8), (2, 4), (2, 8), (3, 4), (3, 5), (3, 6), (4, 7), (4, 9), (5, 7), (5, 9), (6, 7), (6, 8), (6, 9), (7, 9), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "2.20" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 2), (0, 7), (0, 12), (1, 4), (1, 7), (1, 8), (1, 11), (1, 13), (2, 3), (2, 4), (2, 9), (2, 11), (2, 12), (2, 13), (3, 4), (3, 6), (3, 12), (3, 13), (4, 6), (4, 8), (4, 10), (4, 11), (4, 12), (4, 13), (5, 12), (7, 10), (7, 11), (7, 13), (8, 9), (8, 12), (9, 10), (9, 12), (9, 13), (10, 11), (10, 12), (12, 13), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "2.57" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 7), (0, 10), (1, 2), (1, 7), (1, 8), (1, 13), (1, 14), (1, 15), (1, 17), (2, 7), (2, 9), (2, 10), (2, 14), (2, 15), (3, 12), (4, 9), (4, 13), (4, 16), (5, 6), (5, 7), (5, 10), (5, 15), (5, 16), (6, 7), (6, 10), (6, 14), (6, 16), (7, 9), (7, 10), (7, 17), (8, 12), (8, 13), (8, 14), (8, 16), (9, 11), (10, 13), (10, 15), (10, 16), (11, 14), (13, 15), (13, 16), (14, 16), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "2.33" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 2), (0, 4), (0, 9), (0, 11), (0, 13), (0, 16), (0, 17), (1, 9), (1, 10), (1, 14), (1, 16), (1, 17), (1, 18), (2, 4), (2, 6), (2, 9), (2, 11), (2, 13), (2, 18), (3, 8), (3, 10), (3, 17), (3, 19), (4, 6), (4, 8), (4, 9), (4, 12), (4, 17), (4, 19), (5, 7), (5, 13), (5, 18), (6, 11), (6, 12), (6, 14), (6, 17), (6, 18), (6, 19), (7, 8), (7, 13), (7, 15), (8, 13), (8, 16), (8, 17), (9, 11), (9, 14), (9, 15), (9, 18), (10, 14), (10, 16), (10, 17), (10, 19), (11, 13), (12, 15), (12, 16), (13, 14), (13, 17), (13, 18), (14, 15), (14, 18), (15, 16), (15, 19), (16, 18), (17, 18), (17, 19), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "3.25" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 1), (0, 4), (0, 5), (0, 6), (0, 8), (0, 10), (0, 13), (0, 14), (1, 4), (1, 9), (1, 16), (1, 18), (1, 19), (2, 5), (2, 6), (2, 8), (2, 13), (2, 17), (2, 18), (3, 4), (3, 8), (3, 11), (3, 13), (3, 16), (3, 19), (4, 5), (4, 6), (4, 9), (4, 10), (4, 12), (4, 13), (4, 14), (4, 18), (4, 19), (5, 6), (5, 11), (5, 17), (6, 8), (6, 9), (6, 12), (6, 15), (6, 16), (6, 17), (7, 9), (7, 12), (7, 16), (8, 14), (8, 16), (8, 17), (8, 18), (9, 10), (9, 16), (9, 17), (9, 19), (10, 13), (10, 14), (10, 15), (10, 17), (10, 18), (10, 19), (11, 16), (11, 17), (12, 14), (12, 16), (12, 19), (14, 15), (14, 17), (14, 19), (15, 18), (16, 19), (17, 18), (17, 19), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "3.60" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 1), (0, 2), (0, 4), (0, 5), (0, 6), (0, 10), (0, 14), (0, 16), (1, 3), (1, 5), (1, 6), (1, 10), (1, 13), (1, 14), (2, 3), (2, 5), (2, 8), (2, 9), (2, 10), (2, 12), (2, 14), (2, 15), (3, 4), (3, 5), (3, 7), (3, 8), (3, 12), (3, 13), (3, 16), (4, 5), (4, 6), (4, 7), (4, 8), (4, 9), (4, 10), (4, 12), (4, 13), (4, 14), (5, 6), (5, 7), (5, 10), (5, 11), (5, 14), (6, 9), (6, 10), (6, 12), (6, 15), (6, 16), (7, 8), (7, 10), (7, 12), (8, 9), (8, 12), (8, 13), (8, 16), (9, 10), (9, 15), (10, 12), (10, 15), (10, 16), (11, 16), (12, 14), (12, 16), (13, 14), (13, 15), (13, 16), (14, 15), (15, 16), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "4.00" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 4), (0, 10), (0, 11), (0, 14), (1, 4), (1, 7), (1, 8), (1, 11), (1, 13), (2, 7), (2, 11), (2, 12), (3, 7), (3, 10), (3, 12), (4, 6), (4, 10), (4, 11), (4, 13), (5, 8), (5, 11), (5, 12), (6, 9), (6, 14), (7, 8), (7, 11), (8, 11), (9, 11), (9, 14), (11, 14), (12, 13), (12, 14), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "2.13" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 1), (0, 4), (0, 5), (0, 9), (0, 11), (0, 13), (0, 14), (0, 15), (1, 2), (1, 4), (1, 5), (1, 7), (1, 11), (1, 12), (1, 13), (1, 14), (2, 5), (2, 6), (2, 9), (2, 10), (2, 13), (3, 7), (3, 8), (3, 9), (3, 12), (3, 14), (3, 15), (4, 8), (4, 9), (4, 11), (4, 13), (4, 14), (4, 15), (5, 7), (5, 12), (5, 13), (5, 14), (5, 15), (6, 7), (6, 11), (6, 13), (6, 15), (7, 10), (7, 11), (7, 12), (7, 13), (7, 14), (8, 11), (8, 13), (9, 10), (9, 11), (9, 13), (9, 15), (10, 11), (10, 14), (11, 14), (12, 13), (12, 14), (13, 14), (14, 15), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "3.75" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 1), (0, 3), (0, 5), (0, 6), (0, 8), (0, 9), (0, 10), (0, 13), (1, 2), (1, 3), (1, 6), (1, 7), (1, 9), (1, 12), (1, 13), (2, 3), (2, 4), (2, 5), (2, 6), (2, 10), (2, 11), (2, 12), (2, 13), (3, 4), (3, 6), (3, 7), (3, 8), (3, 11), (3, 13), (4, 6), (4, 7), (4, 9), (4, 11), (4, 12), (4, 13), (5, 7), (5, 10), (5, 12), (6, 8), (6, 12), (6, 13), (7, 8), (7, 12), (8, 13), (9, 12), (10, 12), (11, 12), (12, 13), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "3.43" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 4), (0, 9), (1, 6), (1, 8), (1, 11), (2, 10), (2, 16), (2, 17), (3, 4), (3, 13), (3, 14), (3, 15), (4, 6), (4, 9), (4, 10), (4, 15), (5, 9), (5, 11), (5, 16), (5, 17), (6, 9), (6, 12), (8, 13), (8, 15), (8, 17), (9, 14), (9, 17), (10, 11), (10, 17), (11, 14), (12, 13), (15, 17), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "1.78" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 1), (0, 2), (0, 4), (0, 5), (0, 6), (0, 7), (0, 11), (0, 15), (1, 5), (1, 8), (1, 9), (1, 13), (2, 3), (2, 4), (2, 9), (2, 14), (2, 15), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (3, 13), (3, 14), (3, 15), (4, 5), (4, 6), (4, 7), (4, 9), (4, 10), (4, 12), (5, 6), (5, 7), (5, 8), (5, 12), (5, 14), (5, 15), (6, 12), (6, 13), (6, 14), (6, 15), (7, 8), (7, 11), (8, 9), (9, 11), (10, 15), (14, 15), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "2.94" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 2), (0, 3), (0, 6), (0, 11), (0, 16), (1, 3), (1, 5), (1, 9), (1, 13), (1, 15), (2, 3), (2, 10), (2, 16), (3, 4), (3, 8), (3, 9), (3, 15), (3, 16), (4, 5), (4, 7), (4, 14), (4, 16), (5, 6), (5, 7), (5, 8), (5, 11), (6, 7), (6, 10), (6, 11), (6, 14), (7, 8), (7, 11), (7, 13), (8, 10), (8, 16), (9, 16), (10, 11), (10, 12), (11, 12), (11, 14), (11, 15), (12, 13), (12, 15), (13, 14), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "2.59" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 3), (0, 4), (0, 6), (0, 8), (1, 3), (1, 6), (1, 8), (1, 9), (1, 10), (2, 6), (2, 7), (2, 8), (3, 5), (3, 8), (3, 10), (4, 6), (4, 7), (4, 9), (5, 6), (6, 7), (6, 8), (6, 10), (7, 8), (7, 9), (7, 10), (8, 9), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "2.36" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 5), (0, 10), (1, 10), (2, 8), (2, 12), (3, 7), (4, 5), (7, 10), (7, 13), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.64" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 1), (0, 3), (0, 4), (0, 6), (0, 11), (0, 14), (0, 17), (1, 3), (1, 4), (1, 5), (1, 7), (1, 9), (1, 11), (1, 12), (1, 14), (1, 16), (1, 17), (2, 5), (2, 10), (2, 15), (2, 16), (3, 5), (3, 9), (3, 10), (3, 11), (3, 12), (3, 15), (3, 16), (3, 17), (4, 5), (4, 7), (4, 8), (4, 10), (4, 11), (4, 12), (4, 13), (4, 16), (4, 18), (5, 6), (5, 12), (5, 18), (6, 10), (6, 13), (6, 15), (6, 17), (7, 10), (7, 12), (7, 14), (8, 9), (8, 10), (8, 11), (8, 14), (9, 12), (9, 13), (9, 14), (9, 16), (9, 18), (10, 11), (10, 13), (10, 14), (10, 15), (10, 17), (11, 15), (11, 16), (12, 14), (12, 18), (14, 16), (14, 18), (15, 17), (15, 18), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "3.68" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 3), (0, 4), (0, 11), (1, 2), (1, 4), (1, 9), (1, 12), (2, 4), (2, 7), (2, 9), (2, 10), (2, 12), (3, 7), (4, 5), (4, 10), (4, 12), (5, 7), (5, 10), (7, 11), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "1.46" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 4), (0, 7), (0, 11), (0, 16), (1, 2), (1, 5), (1, 10), (1, 14), (2, 3), (2, 7), (2, 14), (3, 8), (3, 10), (3, 16), (4, 10), (4, 11), (4, 17), (5, 6), (6, 8), (6, 11), (6, 12), (6, 13), (6, 17), (7, 12), (8, 9), (8, 11), (8, 12), (8, 16), (9, 13), (9, 15), (9, 17), (10, 12), (10, 17), (11, 13), (11, 14), (11, 15), (11, 16), (11, 17), (12, 14), (12, 16), (12, 17), (13, 16), (13, 17), (14, 16), (14, 17), (15, 16), (16, 17), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "2.61" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 3), (0, 9), (0, 15), (1, 18), (2, 7), (2, 8), (2, 10), (3, 5), (3, 8), (3, 11), (3, 14), (4, 10), (4, 12), (5, 14), (6, 10), (6, 12), (6, 13), (6, 18), (8, 11), (8, 17), (9, 16), (12, 14), (12, 15), (16, 17), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "1.26" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 2), (0, 5), (0, 8), (0, 11), (0, 13), (0, 16), (1, 2), (1, 3), (1, 7), (1, 8), (1, 12), (2, 3), (2, 7), (2, 14), (3, 4), (3, 6), (3, 7), (3, 11), (4, 9), (4, 13), (4, 14), (5, 10), (5, 17), (6, 8), (6, 10), (6, 11), (6, 12), (7, 8), (7, 11), (7, 12), (7, 16), (7, 17), (8, 10), (8, 14), (10, 17), (11, 13), (11, 14), (12, 16), (13, 14), (13, 16), (14, 15), (14, 16), (16, 17), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "2.39" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 2), (0, 4), (0, 6), (0, 7), (0, 8), (0, 12), (0, 14), (0, 17), (1, 2), (1, 3), (1, 5), (1, 7), (1, 8), (1, 10), (1, 12), (1, 16), (1, 17), (2, 6), (2, 9), (2, 10), (2, 13), (2, 17), (3, 4), (3, 8), (3, 11), (3, 16), (3, 17), (4, 5), (4, 6), (4, 13), (4, 14), (4, 15), (5, 7), (5, 8), (5, 9), (5, 11), (5, 15), (5, 17), (6, 7), (6, 8), (6, 9), (6, 11), (6, 13), (6, 14), (7, 8), (7, 12), (7, 13), (7, 14), (7, 16), (8, 9), (8, 13), (8, 15), (8, 16), (8, 17), (9, 15), (10, 13), (10, 15), (10, 17), (11, 12), (11, 13), (11, 17), (13, 16), (13, 17), (14, 17), (15, 16), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "3.61" |
4average_degree
| 1undirected
| Given an undirected graph with edges (0, 5), (0, 7), (3, 5), (3, 7), (5, 7), (7, 10), what is its average degree, the average degree, the number of edges over the number of nodes? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "average_degree", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.55" |