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" |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.