Datasets:
vstenby
/
erdos

Dataset card Data Studio Files
xet
Community
1
algorithm
stringclasses
1 value
edge_list
stringlengths
8
5.95k
node_count
int64
3
36
edge_count
int64
1
630
cycle_check
bool
2 classes
triangle_count
int64
0
7.14k
node_degree_node
int64
0
35
node_degree
int64
0
35
connected_nodes_node
int64
0
35
connected_nodes
stringlengths
0
94
edge_existence_src
int64
0
35
edge_existence_dst
int64
0
35
edge_existence
bool
2 classes
reachability_src
int64
0
35
reachability_dst
int64
0
35
reachability
bool
2 classes
shortest_path_src
int64
0
35
shortest_path_dst
int64
0
35
shortest_path
int64
-1
20
erdos
[(0, 1), (0, 2), (0, 4), (1, 2), (3, 13), (3, 14), (3, 17), (3, 24), (4, 5), (5, 20), (6, 7), (6, 8), (6, 10), (6, 13), (6, 14), (6, 15), (7, 8), (7, 9), (7, 10), (7, 11), (7, 12), (8, 9), (8, 10), (8, 13), (9, 11), (9, 13), (9, 16), (9, 17), (10, 12), (10, 15), (10, 18), (11, 12), (12, 18), (13, 17), (14, 23), (14, 24), (15, 18), (15, 31), (16, 17), (19, 20), (19, 21), (22, 23), (22, 24), (23, 24), (25, 26), (26, 27), (26, 28), (27, 28), (27, 29), (27, 30), (28, 29), (28, 31), (29, 31)]
32
53
true
23
23
3
28
26,27,29,31
28
27
true
28
27
true
28
27
1
erdos
[(0, 1), (0, 2), (1, 2), (1, 28), (1, 29), (1, 30), (2, 28), (2, 29), (3, 24), (3, 31), (3, 32), (3, 33), (4, 5), (4, 6), (4, 7), (4, 10), (5, 6), (5, 7), (5, 8), (5, 9), (6, 7), (7, 8), (7, 10), (8, 9), (8, 11), (9, 10), (9, 11), (12, 13), (12, 14), (12, 15), (12, 19), (12, 20), (13, 14), (13, 15), (13, 16), (13, 17), (13, 18), (14, 15), (14, 19), (15, 19), (15, 20), (16, 17), (16, 19), (16, 25), (16, 26), (16, 27), (17, 25), (17, 26), (17, 27), (19, 20), (20, 21), (20, 22), (21, 22), (21, 23), (22, 23), (24, 32), (24, 33), (25, 26), (25, 27), (26, 27), (28, 29), (28, 30), (29, 30), (31, 32), (31, 33), (32, 33)]
34
66
true
46
8
4
1
0,2,28,29,30
17
21
false
17
21
true
17
21
4
erdos
[(0, 3), (0, 10), (0, 11), (1, 2), (1, 12), (2, 5), (3, 7), (3, 8), (4, 6), (4, 9), (4, 13), (4, 14), (5, 6), (5, 7), (5, 13), (6, 7), (6, 13), (7, 8), (7, 13), (8, 9), (10, 11)]
15
21
true
7
4
4
4
6,9,13,14
0
4
false
0
4
true
0
4
4
erdos
[(0, 15), (0, 17), (0, 18), (0, 19), (0, 21), (0, 22), (0, 24), (0, 27), (0, 28), (0, 29), (0, 30), (0, 31), (1, 15), (1, 16), (1, 17), (1, 19), (1, 21), (1, 22), (1, 24), (1, 26), (1, 27), (1, 28), (1, 29), (1, 30), (2, 15), (2, 16), (2, 18), (2, 19), (2, 20), (2, 21), (2, 22), (2, 23), (2, 27), (2, 28), (2, 29), (3, 15), (3, 17), (3, 18), (3, 19), (3, 20), (3, 21), (3, 22), (3, 23), (3, 24), (3, 25), (3, 27), (3, 28), (3, 29), (3, 30), (3, 31), (4, 15), (4, 16), (4, 17), (4, 18), (4, 19), (4, 20), (4, 22), (4, 23), (4, 24), (4, 25), (4, 26), (4, 27), (4, 28), (4, 29), (4, 30), (4, 31), (5, 15), (5, 18), (5, 20), (5, 21), (5, 22), (5, 23), (5, 24), (5, 25), (5, 26), (5, 28), (5, 29), (5, 31), (6, 15), (6, 16), (6, 18), (6, 20), (6, 21), (6, 22), (6, 23), (6, 24), (6, 25), (6, 26), (6, 27), (6, 30), (6, 31), (7, 15), (7, 17), (7, 18), (7, 20), (7, 22), (7, 24), (7, 25), (7, 26), (7, 27), (7, 28), (7, 30), (7, 31), (8, 15), (8, 17), (8, 19), (8, 20), (8, 21), (8, 22), (8, 23), (8, 24), (8, 26), (8, 27), (8, 29), (8, 30), (8, 31), (9, 15), (9, 16), (9, 17), (9, 21), (9, 22), (9, 23), (9, 24), (9, 25), (9, 27), (9, 29), (9, 30), (9, 31), (10, 15), (10, 16), (10, 17), (10, 18), (10, 19), (10, 20), (10, 21), (10, 22), (10, 23), (10, 24), (10, 25), (10, 26), (10, 27), (10, 28), (10, 30), (11, 15), (11, 16), (11, 17), (11, 18), (11, 19), (11, 21), (11, 22), (11, 24), (11, 25), (11, 26), (11, 27), (11, 30), (12, 15), (12, 16), (12, 20), (12, 21), (12, 23), (12, 24), (12, 26), (12, 28), (12, 29), (12, 30), (12, 31), (13, 15), (13, 17), (13, 18), (13, 19), (13, 20), (13, 21), (13, 22), (13, 24), (13, 25), (13, 26), (13, 28), (13, 29), (13, 30), (13, 31), (14, 15), (14, 18), (14, 19), (14, 20), (14, 21), (14, 22), (14, 23), (14, 25), (14, 26), (14, 27), (14, 28), (14, 29), (14, 30), (14, 31)]
32
194
true
0
27
12
15
0,1,2,3,4,5,6,7,8,9,10,11,12,13,14
5
25
true
5
25
true
5
25
1
erdos
[(0, 1), (0, 2), (0, 3), (1, 2), (2, 3), (2, 4), (2, 5), (3, 4), (4, 5), (4, 7), (6, 10), (6, 12), (7, 8), (7, 9), (8, 9), (8, 11), (9, 11), (10, 12)]
13
18
true
7
12
2
7
4,8,9
12
8
false
12
8
false
12
8
-1
erdos
[(0, 3), (0, 4), (0, 5), (0, 7), (0, 8), (0, 9), (0, 11), (0, 12), (0, 13), (0, 14), (0, 15), (0, 16), (1, 3), (1, 4), (1, 5), (1, 7), (1, 8), (1, 10), (1, 11), (1, 12), (1, 13), (1, 14), (1, 15), (2, 3), (2, 4), (2, 6), (2, 8), (2, 9), (2, 10), (2, 11), (2, 12), (2, 13), (2, 14), (2, 16)]
17
34
true
0
13
3
16
0,2
0
12
true
0
12
true
0
12
1
erdos
[(0, 1), (0, 4), (0, 5), (0, 7), (0, 9), (1, 4), (1, 9), (1, 11), (1, 12), (2, 7), (3, 6), (3, 8), (4, 5), (4, 9), (4, 15), (5, 7), (5, 9), (6, 8), (6, 12), (7, 9), (7, 10), (8, 11), (9, 10), (9, 12), (9, 14), (10, 14), (11, 12), (11, 14), (12, 14), (13, 14)]
16
30
true
17
8
3
7
0,2,5,9,10
3
9
false
3
9
true
3
9
3
erdos
[(0, 1), (0, 3), (0, 5), (0, 6), (0, 7), (0, 8), (0, 11), (0, 12), (0, 13), (1, 2), (1, 3), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (1, 11), (1, 12), (1, 13), (2, 8), (2, 12), (3, 6), (3, 10), (3, 12), (3, 13), (4, 6), (4, 8), (4, 12), (4, 13), (5, 6), (5, 8), (5, 10), (5, 12), (5, 13), (6, 7), (6, 8), (6, 9), (6, 10), (6, 11), (6, 12), (6, 13), (7, 8), (7, 12), (7, 13), (8, 9), (8, 10), (8, 11), (8, 12), (8, 13), (9, 12), (9, 13), (10, 11), (10, 12), (10, 13), (11, 12), (11, 13), (12, 13)]
14
57
true
111
3
6
3
0,1,6,10,12,13
3
11
false
3
11
true
3
11
2
erdos
[(0, 6), (0, 10), (1, 11), (1, 12), (2, 3), (3, 8), (3, 14), (4, 10), (4, 11), (5, 7), (6, 9), (7, 8), (7, 10), (9, 13), (10, 11), (13, 14)]
15
16
true
1
1
2
7
5,8,10
13
10
false
13
10
true
13
10
4
erdos
[(0, 3), (1, 2), (1, 5), (2, 4), (2, 5), (2, 6), (2, 7), (4, 5), (4, 6), (5, 6), (5, 7), (6, 7)]
8
12
true
8
0
1
2
1,4,5,6,7
7
5
true
7
5
true
7
5
1
erdos
[(0, 1), (0, 2), (0, 3), (0, 5), (1, 2), (1, 5), (1, 7), (2, 5), (2, 7), (2, 8), (3, 5), (4, 6), (4, 8)]
9
13
true
6
5
4
5
0,1,2,3
4
5
false
4
5
true
4
5
3
erdos
[(0, 1), (0, 3), (0, 5), (1, 3), (2, 6), (2, 9), (4, 5), (4, 9), (6, 9), (7, 8)]
10
10
true
2
3
2
6
2,9
8
7
true
8
7
true
8
7
1
erdos
[(0, 6), (1, 3), (1, 4), (2, 3), (2, 5), (4, 6)]
7
6
false
0
2
2
4
1,6
5
4
false
5
4
true
5
4
4
erdos
[(0, 2), (0, 5), (0, 7), (1, 3), (1, 4), (2, 7), (2, 11), (3, 6), (4, 10), (5, 7), (6, 8), (6, 9), (8, 9), (10, 11)]
12
14
true
3
11
2
0
2,5,7
6
9
true
6
9
true
6
9
1
erdos
[(0, 14), (0, 19), (1, 6), (2, 4), (2, 5), (2, 11), (2, 17), (2, 19), (2, 23), (2, 28), (2, 30), (3, 4), (3, 17), (3, 30), (4, 7), (4, 9), (4, 10), (4, 18), (5, 9), (5, 10), (5, 11), (5, 13), (5, 17), (5, 23), (6, 17), (6, 28), (8, 17), (8, 29), (9, 11), (9, 30), (10, 11), (10, 19), (10, 22), (11, 13), (11, 17), (11, 19), (11, 22), (11, 29), (12, 17), (14, 16), (14, 22), (14, 28), (15, 29), (16, 17), (16, 18), (17, 18), (17, 21), (17, 22), (19, 22), (19, 23), (19, 28), (20, 30), (22, 27), (22, 30), (23, 29), (23, 30), (24, 28), (25, 29), (26, 29), (27, 29)]
31
60
true
18
23
5
14
0,16,22,28
30
14
false
30
14
true
30
14
2
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (3, 4), (3, 5), (4, 5), (4, 6), (5, 6), (5, 7), (6, 7)]
8
17
true
14
2
2
5
1,3,4,6,7
4
7
false
4
7
true
4
7
2
erdos
[(0, 4), (0, 5), (1, 4), (1, 5), (2, 4), (2, 5), (3, 4), (3, 5)]
6
8
true
0
0
2
4
0,1,2,3
4
3
true
4
3
true
4
3
1
erdos
[(0, 1), (0, 5), (0, 7), (1, 2), (1, 3), (1, 5), (1, 6), (1, 7), (2, 3), (2, 6), (2, 12), (3, 5), (3, 6), (3, 12), (4, 19), (4, 20), (5, 7), (6, 12), (7, 8), (8, 14), (8, 15), (9, 10), (9, 13), (9, 16), (10, 16), (11, 13), (14, 15), (14, 21), (17, 18), (17, 19), (17, 20), (18, 19), (18, 20), (19, 20)]
22
34
true
19
20
4
4
19,20
12
0
false
12
0
true
12
0
3
erdos
[(0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (3, 4), (4, 21), (4, 22), (5, 7), (6, 8), (6, 18), (6, 19), (7, 8), (8, 9), (8, 18), (8, 19), (8, 20), (9, 17), (9, 19), (10, 13), (10, 14), (10, 16), (11, 15), (11, 17), (12, 22), (13, 14), (13, 16), (14, 16), (18, 19), (18, 20), (21, 22)]
23
31
true
13
9
3
15
11
0
12
false
0
12
true
0
12
4
erdos
[(0, 3), (0, 5), (0, 7), (0, 8), (1, 5), (1, 6), (2, 7), (2, 8), (3, 4), (3, 6), (4, 7), (4, 8), (5, 6), (6, 7)]
9
14
true
1
5
3
1
5,6
8
6
false
8
6
true
8
6
3
erdos
[(0, 5), (0, 6), (1, 3), (2, 4), (2, 5), (3, 7), (4, 5), (4, 6), (4, 8), (5, 6), (7, 8)]
9
11
true
3
1
1
6
0,4,5
2
0
false
2
0
true
2
0
2
erdos
[(0, 3), (0, 10), (0, 12), (0, 14), (1, 5), (1, 8), (1, 11), (2, 4), (2, 5), (2, 6), (2, 8), (3, 12), (3, 14), (4, 5), (4, 6), (4, 8), (4, 9), (4, 13), (5, 6), (5, 8), (5, 9), (5, 11), (5, 13), (6, 7), (6, 8), (8, 9), (8, 11), (8, 13), (9, 13), (10, 14), (12, 14)]
15
31
true
28
3
3
12
0,3,14
7
8
false
7
8
true
7
8
2
erdos
[(0, 1), (0, 2), (0, 3), (0, 7), (0, 8), (0, 9), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 5), (2, 7), (2, 8), (2, 10), (3, 5), (3, 8), (4, 5), (4, 7), (4, 12), (5, 6), (5, 13), (6, 13), (7, 12), (7, 16), (8, 10), (9, 11), (9, 12), (9, 20), (11, 20), (14, 18), (15, 16), (15, 17), (15, 19), (16, 17), (17, 18)]
21
37
true
18
8
4
5
1,2,3,4,6,13
17
19
false
17
19
true
17
19
2
erdos
[(0, 6), (0, 26), (1, 2), (1, 4), (1, 10), (1, 17), (1, 26), (2, 3), (2, 5), (3, 11), (4, 10), (4, 15), (4, 18), (4, 22), (5, 17), (6, 12), (6, 17), (6, 23), (7, 8), (7, 10), (7, 14), (7, 16), (7, 24), (7, 25), (8, 10), (8, 18), (8, 23), (8, 26), (9, 14), (9, 22), (9, 24), (10, 19), (10, 27), (11, 17), (12, 14), (12, 19), (12, 24), (12, 27), (13, 14), (13, 25), (14, 26), (15, 16), (16, 21), (16, 27), (17, 20), (18, 19), (20, 23), (20, 25), (20, 26), (21, 22), (23, 26), (24, 27)]
28
52
true
5
6
4
7
8,10,14,16,24,25
1
26
true
1
26
true
1
26
1
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (1, 3), (2, 3), (2, 4), (3, 4)]
5
8
true
5
0
4
0
1,2,3,4
2
1
false
2
1
true
2
1
2
erdos
[(0, 12), (0, 16), (0, 22), (0, 23), (0, 28), (0, 31), (1, 3), (1, 10), (2, 5), (2, 14), (2, 16), (2, 21), (3, 20), (3, 24), (4, 11), (4, 14), (4, 24), (4, 25), (6, 9), (6, 31), (7, 8), (7, 30), (8, 20), (9, 15), (9, 22), (10, 17), (10, 31), (11, 24), (11, 25), (12, 18), (12, 21), (12, 25), (13, 17), (13, 31), (14, 20), (14, 24), (15, 26), (16, 17), (16, 19), (16, 20), (16, 21), (16, 25), (16, 31), (17, 18), (17, 21), (17, 23), (17, 25), (17, 26), (17, 27), (17, 28), (17, 29), (17, 31), (18, 20), (18, 21), (18, 25), (18, 28), (18, 29), (18, 30), (18, 31), (19, 21), (19, 28), (20, 22), (20, 23), (20, 24), (20, 28), (20, 31), (21, 23), (21, 25), (21, 28), (21, 29), (22, 30), (23, 24), (23, 27), (24, 28), (25, 28), (25, 31), (26, 28), (27, 30), (28, 30), (30, 31)]
32
80
true
45
16
8
30
7,18,22,27,28,31
25
4
true
25
4
true
25
4
1
erdos
[(0, 1), (0, 2), (0, 3), (2, 8), (2, 19), (2, 22), (3, 6), (4, 5), (4, 7), (5, 6), (6, 7), (6, 8), (7, 8), (8, 22), (9, 10), (9, 11), (9, 12), (9, 13), (9, 15), (9, 16), (10, 11), (10, 12), (10, 13), (10, 14), (11, 12), (11, 14), (11, 17), (12, 13), (12, 14), (12, 15), (13, 15), (13, 16), (14, 17), (15, 16), (17, 18), (17, 26), (18, 24), (18, 25), (18, 26), (19, 20), (19, 21), (19, 22), (19, 23), (20, 21), (20, 23), (21, 23), (23, 27), (24, 25), (24, 26), (25, 26)]
28
50
true
29
6
4
12
9,10,11,13,14,15
1
18
false
1
18
false
1
18
-1
erdos
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31
465
true
4,495
8
30
25
0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30
9
21
true
9
21
true
9
21
1
erdos
[(0, 1), (0, 2), (1, 2), (1, 3), (1, 4), (2, 5), (3, 4), (3, 5)]
6
8
true
2
0
2
5
2,3
2
1
true
2
1
true
2
1
1
erdos
[(0, 1), (1, 2), (1, 4), (2, 4), (2, 6), (3, 7), (3, 9), (5, 8), (7, 8), (7, 9)]
10
10
true
2
1
3
4
1,2
7
5
false
7
5
true
7
5
2
erdos
[(0, 3), (0, 4), (0, 5), (0, 6), (1, 5), (1, 6), (2, 3), (2, 4), (2, 6)]
7
9
true
0
1
2
1
5,6
5
3
false
5
3
true
5
3
2
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (1, 2), (1, 3), (1, 4), (1, 5), (2, 4), (2, 5), (2, 8), (2, 9), (3, 4), (3, 5), (4, 5), (4, 10), (4, 11), (4, 12), (5, 10), (5, 11), (6, 7), (6, 13), (6, 14), (6, 15), (7, 8), (7, 14), (8, 9), (10, 11), (10, 12), (10, 18), (11, 12), (11, 19), (12, 18), (12, 19), (12, 20), (13, 14), (13, 15), (14, 15), (16, 17), (16, 18), (16, 19), (16, 20), (18, 19), (18, 20), (19, 20)]
21
49
true
41
10
5
10
4,5,11,12,18
1
0
true
1
0
true
1
0
1
erdos
[(0, 1), (0, 2), (0, 3), (0, 8), (0, 11), (0, 16), (1, 2), (1, 3), (1, 8), (2, 3), (2, 8), (2, 11), (2, 16), (3, 8), (3, 11), (3, 16), (4, 7), (4, 10), (4, 12), (4, 15), (5, 7), (5, 15), (6, 9), (6, 12), (6, 14), (7, 9), (7, 12), (7, 14), (9, 12), (9, 14), (10, 15), (11, 16), (12, 14), (13, 15)]
17
34
true
28
2
6
1
0,2,3,8
13
4
false
13
4
true
13
4
2
erdos
[(0, 1), (0, 2), (0, 3), (0, 5), (0, 6), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (2, 5), (3, 5), (5, 6), (6, 7)]
8
14
true
9
1
4
0
1,2,3,5,6
7
5
false
7
5
true
7
5
2
erdos
[(0, 2), (0, 13), (1, 8), (2, 10), (3, 9), (3, 13), (4, 12), (4, 15), (5, 12), (5, 15), (5, 22), (6, 7), (6, 10), (7, 18), (8, 16), (11, 14), (11, 17), (12, 21), (14, 19), (15, 21), (18, 20), (19, 22), (21, 22)]
23
23
true
0
15
3
21
12,15,22
18
8
false
18
8
false
18
8
-1
erdos
[(0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (1, 5), (2, 3), (2, 5), (2, 8), (2, 9), (3, 5), (3, 9), (4, 6), (4, 7), (4, 8), (4, 9), (4, 10), (5, 6), (5, 8), (5, 9), (6, 8), (7, 10), (8, 9)]
11
23
true
17
9
5
6
4,5,8
0
4
false
0
4
true
0
4
3
erdos
[(0, 6), (1, 4), (1, 6), (1, 25), (2, 3), (2, 30), (2, 31), (3, 30), (4, 5), (4, 15), (4, 25), (5, 15), (5, 25), (6, 29), (7, 22), (8, 9), (8, 27), (9, 10), (9, 11), (10, 17), (12, 25), (12, 32), (13, 28), (13, 31), (14, 15), (15, 25), (16, 17), (16, 27), (16, 29), (17, 27), (18, 19), (18, 21), (19, 20), (21, 23), (22, 24), (23, 24), (26, 28), (26, 31), (28, 31), (29, 32)]
33
40
true
9
20
1
9
8,10,11
7
1
false
7
1
false
7
1
-1
erdos
[(0, 16), (0, 23), (1, 2), (1, 3), (2, 21), (4, 21), (4, 30), (5, 10), (5, 15), (6, 20), (6, 27), (6, 29), (7, 9), (7, 14), (8, 13), (8, 17), (8, 18), (8, 19), (11, 30), (12, 13), (12, 15), (13, 17), (16, 23), (16, 32), (17, 18), (18, 19), (20, 22), (20, 29), (22, 24), (22, 25), (22, 29), (23, 31), (23, 32), (24, 25), (24, 28), (24, 29), (26, 31), (27, 28), (27, 29), (28, 29)]
33
40
true
12
26
1
32
16,23
9
10
false
9
10
false
9
10
-1
erdos
[(0, 1), (0, 5), (0, 7), (0, 8), (1, 2), (1, 5), (1, 7), (1, 8), (2, 4), (2, 5), (2, 8), (2, 9), (3, 4), (3, 6), (3, 9), (4, 5), (4, 8), (4, 9), (5, 8), (5, 9), (8, 9)]
10
21
true
18
6
1
9
2,3,4,5,8
4
8
true
4
8
true
4
8
1
erdos
[(0, 1), (0, 4), (0, 5), (1, 3), (1, 4), (1, 5), (2, 4), (3, 4), (4, 5)]
6
9
true
5
5
3
5
0,1,4
3
5
false
3
5
true
3
5
2
erdos
[(0, 4), (0, 6), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6), (4, 5), (4, 6), (5, 6)]
7
17
true
21
4
6
4
0,1,2,3,5,6
2
3
true
2
3
true
2
3
1
erdos
[(0, 1), (0, 3), (0, 4), (0, 5), (1, 3), (2, 9), (2, 10), (3, 4), (4, 5), (5, 7), (6, 20), (6, 21), (7, 15), (8, 9), (8, 10), (8, 11), (9, 10), (10, 11), (10, 12), (11, 12), (13, 20), (14, 16), (14, 18), (14, 19), (16, 17), (16, 18), (16, 19), (17, 18)]
22
28
true
10
16
4
21
6
18
10
false
18
10
false
18
10
-1
erdos
[(0, 2), (1, 4), (2, 3), (3, 5), (4, 5)]
6
5
false
0
4
2
1
4
3
2
true
3
2
true
3
2
1
erdos
[(0, 3), (0, 4), (0, 7), (1, 2), (1, 3), (1, 5), (1, 6), (2, 3), (2, 5), (2, 6), (3, 4), (4, 7)]
8
12
true
5
2
4
2
1,3,5,6
2
7
false
2
7
true
2
7
3
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 6), (0, 11), (0, 12), (1, 3), (2, 3), (2, 12), (3, 4), (3, 6), (3, 11), (3, 12), (4, 6), (5, 7), (5, 8), (5, 9), (5, 10)]
13
19
true
10
2
3
2
0,3,12
7
4
false
7
4
false
7
4
-1
erdos
[(0, 2), (0, 3), (1, 2), (1, 3), (2, 3), (2, 4), (3, 4)]
5
7
true
3
4
2
2
0,1,3,4
2
0
true
2
0
true
2
0
1
erdos
[(0, 7), (0, 9), (0, 10), (0, 11), (0, 13), (0, 14), (0, 15), (0, 16), (0, 17), (1, 19), (1, 20), (1, 21), (1, 22), (1, 23), (1, 24), (1, 25), (1, 26), (2, 3), (2, 18), (3, 4), (3, 18), (4, 5), (4, 18), (5, 18), (6, 8), (7, 9), (7, 10), (7, 11), (7, 13), (7, 14), (7, 15), (7, 16), (7, 17), (8, 12), (9, 10), (9, 11), (9, 13), (9, 14), (9, 15), (9, 16), (9, 17), (10, 11), (10, 13), (10, 14), (10, 15), (10, 16), (10, 17), (11, 13), (11, 14), (11, 15), (11, 16), (11, 17), (13, 14), (13, 15), (13, 16), (13, 17), (14, 15), (14, 16), (14, 17), (15, 16), (15, 17), (16, 17), (19, 20), (19, 21), (19, 22), (19, 23), (19, 24), (19, 25), (19, 26), (20, 21), (20, 22), (20, 23), (20, 24), (20, 25), (20, 26), (21, 22), (21, 23), (21, 24), (21, 25), (21, 26), (22, 23), (22, 24), (22, 25), (22, 26), (23, 24), (23, 25), (23, 26), (24, 25), (24, 26), (25, 26)]
27
90
true
207
3
3
16
0,7,9,10,11,13,14,15,17
23
10
false
23
10
false
23
10
-1
erdos
[(0, 1), (0, 2), (0, 4), (1, 2), (1, 4), (1, 5), (3, 5), (4, 5), (6, 7), (6, 11), (6, 12), (6, 13), (6, 14), (7, 8), (7, 9), (8, 9), (8, 12), (8, 15), (8, 16), (8, 17), (9, 16), (10, 11), (10, 13), (10, 18), (11, 13), (11, 18), (12, 14), (12, 15), (13, 14), (13, 18), (15, 17), (15, 27), (15, 30), (16, 17), (17, 27), (17, 29), (19, 20), (19, 21), (19, 22), (19, 24), (20, 24), (21, 22), (21, 23), (22, 24), (25, 26), (25, 28), (26, 27), (27, 29), (28, 31)]
32
49
true
20
11
4
27
15,17,26,29
4
27
false
4
27
false
4
27
-1
erdos
[(0, 2), (0, 4), (1, 2), (1, 3), (4, 5)]
6
5
false
0
5
1
3
1
4
3
false
4
3
true
4
3
4
erdos
[(0, 10), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 5), (2, 7), (2, 8), (2, 9), (3, 6), (4, 10), (4, 11), (5, 7), (5, 8), (7, 8), (7, 9), (8, 9)]
12
19
true
10
7
4
6
1,3
7
9
true
7
9
true
7
9
1
erdos
[(0, 1), (0, 4), (0, 5), (1, 2), (1, 4), (1, 5), (2, 3), (2, 4), (2, 5), (3, 4), (3, 5), (4, 5)]
6
12
true
10
4
5
0
1,4,5
2
0
false
2
0
true
2
0
2
erdos
[(0, 5), (0, 6), (0, 7), (1, 2), (1, 3), (1, 14), (1, 21), (2, 3), (2, 21), (3, 21), (3, 23), (4, 5), (4, 6), (5, 6), (5, 7), (6, 7), (8, 9), (8, 11), (8, 25), (9, 10), (9, 11), (9, 12), (10, 11), (10, 12), (10, 13), (10, 26), (11, 12), (12, 13), (12, 26), (13, 26), (15, 25), (16, 17), (16, 18), (16, 19), (16, 24), (17, 20), (17, 30), (18, 19), (18, 24), (19, 20), (19, 24), (20, 30), (21, 22), (21, 23), (22, 23), (26, 29), (27, 31), (28, 29), (28, 31)]
32
49
true
25
16
4
19
16,18,20,24
16
22
false
16
22
false
16
22
-1
erdos
[(0, 1), (0, 2), (0, 3), (0, 6), (0, 7), (1, 2), (1, 3), (1, 4), (1, 5), (2, 3), (2, 4), (2, 8), (2, 9), (3, 5), (3, 10), (4, 8), (4, 11), (5, 10), (5, 12), (5, 13), (5, 15), (5, 17), (5, 19), (6, 7), (8, 9), (10, 12), (10, 22), (10, 23), (11, 14), (12, 13), (12, 15), (12, 18), (12, 22), (12, 23), (13, 21), (14, 16), (15, 19), (15, 21), (17, 19), (17, 24), (18, 20), (19, 24), (19, 25), (20, 26), (20, 27), (24, 25), (26, 27), (27, 28)]
29
48
true
20
20
3
19
5,15,17,24,25
22
26
false
22
26
true
22
26
4
erdos
[(0, 26), (1, 24), (2, 24), (2, 25), (3, 7), (3, 23), (4, 7), (4, 18), (5, 13), (5, 18), (6, 11), (6, 16), (6, 17), (6, 24), (6, 26), (8, 19), (8, 32), (9, 25), (9, 31), (10, 12), (10, 13), (11, 29), (11, 30), (14, 19), (14, 20), (15, 24), (15, 30), (15, 32), (16, 23), (19, 24), (20, 27), (21, 22), (22, 28), (24, 28)]
33
34
true
0
10
2
12
10
6
13
false
6
13
true
6
13
8
erdos
[(0, 1), (0, 14), (2, 5), (2, 6), (2, 7), (3, 12), (3, 13), (4, 12), (6, 11), (8, 11), (8, 16), (9, 13), (9, 14), (10, 13), (15, 16)]
17
15
false
0
14
2
12
3,4
3
10
false
3
10
true
3
10
2
erdos
[(0, 2), (0, 3), (0, 6), (0, 7), (1, 7), (4, 5), (4, 6), (5, 8), (5, 9)]
10
9
false
0
4
2
9
5
2
5
false
2
5
true
2
5
4
erdos
[(0, 2), (0, 3), (1, 3), (1, 4), (3, 7), (4, 5), (4, 7), (5, 8), (6, 7), (7, 8)]
9
10
true
0
7
4
6
7
3
5
false
3
5
true
3
5
3
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (1, 2), (1, 3), (1, 4), (1, 6), (2, 3), (2, 4), (2, 6), (3, 4), (4, 7), (5, 12), (5, 13), (5, 15), (6, 18), (7, 9), (8, 9), (9, 21), (10, 11), (10, 18), (12, 13), (12, 15), (13, 14), (15, 16), (15, 17), (16, 22), (17, 19), (17, 22), (19, 20), (20, 21)]
23
32
true
13
3
4
5
12,13,15
15
9
false
15
9
true
15
9
5
erdos
[(0, 1), (0, 2), (0, 3), (1, 2), (2, 4), (3, 19), (4, 5), (5, 6), (6, 17), (6, 18), (7, 14), (7, 18), (8, 9), (8, 10), (9, 10), (9, 14), (10, 11), (10, 12), (10, 13), (11, 12), (11, 13), (12, 13), (15, 16), (15, 17), (15, 18), (16, 17)]
20
26
true
7
14
2
16
15,17
18
14
false
18
14
true
18
14
2
erdos
[(0, 3), (0, 8), (0, 9), (0, 11), (0, 13), (0, 17), (0, 24), (1, 8), (1, 9), (1, 11), (1, 13), (1, 24), (2, 6), (3, 13), (3, 14), (4, 10), (4, 15), (4, 19), (5, 7), (5, 18), (5, 22), (6, 12), (6, 23), (7, 20), (8, 9), (8, 11), (8, 13), (8, 17), (8, 24), (9, 11), (9, 13), (9, 24), (10, 12), (10, 15), (10, 16), (11, 17), (11, 24), (12, 15), (12, 21), (13, 14), (13, 17), (13, 24), (14, 17), (15, 16), (15, 19), (18, 22), (20, 22), (21, 23)]
25
48
true
38
20
2
9
0,1,8,11,13,24
20
11
false
20
11
false
20
11
-1
erdos
[(0, 2), (0, 9), (1, 5), (2, 3), (4, 5), (4, 6), (5, 6), (7, 8), (7, 9)]
10
9
true
1
8
1
5
1,4,6
2
5
false
2
5
false
2
5
-1
erdos
[(0, 1), (0, 5), (0, 6), (0, 7), (1, 2), (1, 3), (1, 4), (1, 5), (2, 3), (2, 4), (2, 13), (3, 4), (3, 5), (3, 13), (4, 5), (4, 13), (5, 6), (6, 7), (7, 8), (9, 10), (10, 11), (11, 12)]
14
22
true
13
2
4
2
1,3,4,13
5
11
false
5
11
false
5
11
-1
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (1, 3), (1, 4), (1, 8), (3, 4), (5, 6), (5, 18), (5, 21), (6, 7), (6, 27), (7, 18), (7, 28), (9, 10), (9, 16), (9, 20), (10, 16), (10, 20), (11, 12), (11, 25), (13, 19), (13, 20), (14, 15), (15, 29), (17, 18), (17, 21), (17, 22), (18, 21), (18, 22), (19, 20), (23, 24), (23, 26), (24, 25), (26, 27), (27, 28)]
30
37
true
10
14
1
26
23,27
18
11
false
18
11
true
18
11
8
erdos
[(0, 17), (0, 24), (1, 4), (1, 6), (1, 14), (1, 22), (2, 6), (2, 22), (3, 20), (3, 25), (4, 5), (4, 14), (4, 22), (6, 8), (6, 22), (7, 11), (9, 19), (9, 23), (10, 19), (10, 20), (11, 15), (12, 16), (12, 26), (13, 16), (13, 18), (14, 22), (15, 23), (17, 21), (18, 21), (20, 25)]
27
30
true
7
4
4
8
6
9
8
false
9
8
false
9
8
-1
erdos
[(0, 4), (0, 5), (0, 6), (0, 8), (0, 11), (0, 14), (0, 16), (1, 2), (1, 9), (1, 10), (1, 12), (2, 9), (2, 10), (2, 12), (3, 4), (3, 5), (3, 16), (4, 5), (4, 6), (4, 7), (4, 11), (4, 14), (4, 16), (5, 6), (5, 7), (5, 11), (5, 14), (5, 16), (6, 7), (6, 11), (6, 14), (6, 16), (7, 11), (7, 16), (8, 16), (9, 10), (9, 12), (9, 13), (9, 15), (10, 12), (10, 13), (10, 15), (11, 14), (11, 16), (12, 13), (12, 15), (13, 15), (14, 16)]
17
48
true
68
15
4
8
0,16
12
13
true
12
13
true
12
13
1
erdos
[(0, 14), (1, 11), (2, 3), (3, 12), (4, 5), (4, 14), (6, 13), (6, 15), (7, 8), (7, 10), (8, 9), (9, 11), (13, 14)]
16
13
false
0
15
1
4
5,14
15
7
false
15
7
false
15
7
-1
erdos
[(0, 30), (1, 30), (2, 12), (2, 14), (2, 18), (2, 20), (2, 23), (3, 6), (3, 29), (3, 30), (4, 15), (5, 30), (6, 29), (6, 30), (7, 9), (7, 11), (7, 13), (7, 16), (7, 17), (8, 30), (9, 11), (9, 13), (9, 16), (9, 17), (10, 19), (11, 13), (11, 16), (11, 17), (12, 26), (13, 16), (13, 17), (14, 26), (15, 30), (16, 17), (19, 22), (19, 24), (19, 25), (19, 27), (21, 30), (28, 30), (29, 30), (30, 31)]
32
42
true
24
26
2
31
30
4
6
false
4
6
true
4
6
3
erdos
[(0, 10), (0, 12), (1, 2), (2, 3), (3, 4), (4, 6), (4, 8), (5, 13), (5, 14), (6, 8), (7, 12), (9, 11), (10, 13), (11, 14)]
15
14
true
1
11
2
12
0,7
14
6
false
14
6
false
14
6
-1
erdos
[(0, 1), (1, 2), (2, 3), (2, 28), (3, 4), (5, 6), (5, 7), (5, 8), (5, 9), (5, 12), (5, 13), (6, 7), (6, 8), (6, 9), (6, 10), (6, 11), (7, 8), (7, 10), (7, 14), (8, 9), (8, 10), (8, 12), (9, 12), (9, 13), (10, 11), (10, 14), (11, 14), (11, 18), (12, 13), (12, 15), (13, 15), (13, 16), (14, 18), (15, 16), (15, 32), (16, 30), (16, 32), (17, 22), (17, 26), (19, 20), (19, 21), (19, 23), (20, 21), (20, 23), (20, 29), (21, 23), (23, 29), (24, 25), (24, 27), (25, 27), (26, 28), (27, 31), (29, 31)]
33
53
true
29
18
2
26
17,28
26
6
false
26
6
false
26
6
-1
erdos
[(0, 23), (1, 27), (2, 5), (2, 6), (3, 23), (3, 28), (4, 23), (4, 27), (6, 7), (6, 9), (8, 21), (10, 18), (10, 29), (11, 21), (12, 16), (13, 26), (14, 16), (14, 19), (15, 17), (15, 22), (16, 20), (16, 29), (17, 21), (21, 25), (23, 24)]
30
25
false
0
3
2
14
16,19
3
4
false
3
4
true
3
4
2
erdos
[(0, 4), (0, 6), (1, 3), (1, 8), (2, 12), (3, 8), (4, 6), (4, 7), (4, 9), (5, 8), (5, 10), (6, 9), (7, 9), (10, 11), (10, 12)]
13
15
true
4
0
2
7
4,9
2
5
false
2
5
true
2
5
3
erdos
[(0, 1), (0, 2), (0, 3), (2, 4)]
5
4
false
0
0
3
1
0
1
4
false
1
4
true
1
4
3
erdos
[(0, 7), (0, 8), (0, 10), (1, 2), (1, 4), (1, 6), (1, 11), (1, 13), (2, 4), (2, 6), (2, 11), (2, 12), (2, 13), (3, 6), (3, 12), (3, 13), (4, 6), (4, 9), (4, 11), (4, 12), (5, 14), (6, 9), (6, 11), (6, 12), (6, 13), (7, 8), (7, 10), (7, 14), (8, 14), (9, 11), (10, 14), (12, 13)]
15
32
true
28
5
1
1
2,4,6,11,13
10
3
false
10
3
false
10
3
-1
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 7), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4), (3, 7), (4, 7), (5, 6), (5, 8), (6, 8)]
9
16
true
14
2
4
4
0,1,2,3,7
4
2
true
4
2
true
4
2
1
erdos
[(0, 1), (0, 3), (0, 5), (0, 14), (1, 3), (1, 5), (2, 7), (2, 8), (2, 9), (2, 11), (2, 12), (2, 13), (2, 17), (3, 5), (3, 14), (3, 15), (4, 6), (4, 16), (4, 18), (4, 21), (5, 14), (5, 15), (6, 16), (6, 18), (6, 21), (7, 8), (7, 9), (7, 11), (7, 12), (7, 13), (7, 17), (8, 9), (8, 11), (8, 12), (8, 13), (8, 17), (9, 11), (9, 12), (9, 13), (9, 17), (10, 11), (10, 12), (10, 17), (11, 12), (11, 13), (11, 17), (12, 13), (12, 17), (13, 17), (16, 18), (16, 21), (18, 19), (18, 20), (18, 21), (19, 20), (19, 21), (20, 21)]
22
57
true
81
7
7
17
2,7,8,9,10,11,12,13
18
20
true
18
20
true
18
20
1
erdos
[(0, 2), (1, 21), (1, 24), (2, 3), (2, 12), (3, 16), (4, 7), (4, 14), (5, 24), (6, 16), (7, 15), (8, 20), (8, 23), (9, 16), (10, 17), (11, 20), (13, 17), (13, 18), (15, 19), (18, 22), (19, 22), (21, 23), (21, 25)]
26
23
false
0
25
1
13
17,18
23
21
true
23
21
true
23
21
1
erdos
[(0, 1), (0, 5), (0, 6), (0, 8), (0, 9), (0, 10), (0, 15), (0, 16), (0, 17), (1, 5), (1, 6), (1, 8), (1, 9), (1, 10), (1, 15), (1, 16), (1, 17), (2, 3), (2, 4), (2, 7), (2, 11), (2, 12), (2, 13), (2, 14), (2, 18), (3, 4), (3, 7), (3, 11), (3, 12), (3, 13), (3, 14), (3, 18), (4, 7), (4, 11), (4, 12), (4, 13), (4, 14), (4, 18), (5, 6), (5, 8), (5, 9), (5, 10), (5, 15), (5, 16), (5, 17), (6, 8), (6, 9), (6, 10), (6, 15), (6, 16), (6, 17), (7, 11), (7, 12), (7, 13), (7, 14), (7, 18), (8, 9), (8, 10), (8, 15), (8, 16), (8, 17), (9, 10), (9, 15), (9, 16), (9, 17), (10, 15), (10, 16), (10, 17), (11, 12), (11, 13), (11, 14), (11, 18), (12, 13), (12, 14), (12, 18), (13, 14), (13, 18), (14, 18), (15, 16), (15, 17), (16, 17)]
19
81
true
204
11
8
16
0,1,5,6,8,9,10,15,17
11
8
false
11
8
false
11
8
-1
erdos
[(0, 12), (0, 28), (1, 7), (1, 21), (2, 11), (2, 12), (3, 6), (3, 20), (4, 25), (4, 27), (5, 8), (5, 14), (6, 11), (8, 20), (9, 21), (9, 27), (10, 14), (11, 20), (11, 24), (13, 15), (13, 18), (14, 20), (15, 19), (16, 22), (17, 25), (17, 26), (18, 22), (19, 28), (23, 24), (26, 29)]
30
30
true
0
19
2
14
5,10,20
0
10
false
0
10
true
0
10
6
erdos
[(0, 1), (0, 5), (0, 6), (0, 7), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4), (4, 8), (4, 9), (5, 6), (6, 7), (8, 9), (8, 19), (9, 19), (10, 11), (10, 13), (10, 15), (10, 17), (10, 18), (11, 12), (11, 13), (11, 15), (11, 17), (11, 18), (12, 13), (12, 14), (13, 14), (14, 16), (15, 17), (15, 18), (16, 20), (17, 18)]
21
35
true
21
0
4
1
0,2,3,4
12
4
false
12
4
false
12
4
-1
erdos
[(0, 4), (0, 6), (1, 8), (2, 3), (2, 7), (3, 7), (4, 5), (4, 7), (4, 8), (8, 9)]
10
10
true
1
1
1
0
4,6
4
6
false
4
6
true
4
6
2
erdos
[(0, 1), (0, 3), (0, 4), (0, 7), (0, 8), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 4), (2, 5), (2, 6), (2, 9), (3, 4), (3, 8), (4, 6), (4, 8), (5, 6), (5, 9), (5, 10), (6, 9), (6, 10), (7, 8), (9, 10), (10, 11)]
12
27
true
23
1
6
3
0,1,2,4,8
6
9
true
6
9
true
6
9
1
erdos
[(0, 1), (1, 3), (2, 3), (3, 4)]
5
4
false
0
2
1
4
3
3
1
true
3
1
true
3
1
1
erdos
[(0, 1), (0, 3), (0, 15), (2, 24), (4, 5), (5, 11), (5, 13), (5, 19), (5, 26), (6, 19), (7, 12), (7, 25), (8, 17), (8, 18), (8, 24), (8, 27), (9, 12), (9, 20), (9, 21), (9, 23), (10, 14), (14, 23), (16, 22), (16, 24), (17, 18), (18, 22), (18, 27), (20, 21), (20, 23)]
28
29
true
4
7
2
0
1,3,15
18
8
true
18
8
true
18
8
1
erdos
[(0, 3), (0, 8), (0, 10), (0, 12), (1, 4), (1, 11), (2, 3), (2, 8), (2, 12), (4, 5), (5, 6), (7, 9), (7, 10)]
13
13
true
0
8
2
1
4,11
7
12
false
7
12
true
7
12
3
erdos
[(0, 4), (0, 13), (1, 14), (2, 8), (2, 9), (3, 8), (4, 20), (5, 17), (6, 7), (6, 8), (10, 21), (11, 20), (12, 18), (12, 19), (13, 19), (14, 15), (15, 16), (16, 21), (17, 18)]
22
19
false
0
4
2
6
7,8
5
1
false
5
1
false
5
1
-1
erdos
[(0, 4), (0, 5), (0, 7), (0, 8), (0, 13), (1, 2), (1, 6), (1, 9), (1, 12), (2, 9), (3, 14), (4, 5), (4, 7), (4, 10), (5, 7), (5, 8), (5, 11), (7, 8), (7, 10), (7, 11), (8, 11), (9, 14)]
15
22
true
12
14
2
6
1
12
5
false
12
5
false
12
5
-1
erdos
[(0, 3), (0, 13), (1, 10), (2, 5), (2, 6), (2, 11), (3, 13), (4, 6), (4, 11), (5, 8), (6, 8), (6, 10), (7, 8), (7, 9), (8, 9), (8, 11), (10, 11), (12, 13), (13, 14)]
15
19
true
2
12
1
0
3,13
13
12
true
13
12
true
13
12
1
erdos
[(0, 1), (0, 4), (0, 5), (0, 6), (0, 7), (1, 2), (1, 3), (2, 3), (3, 8), (3, 9), (4, 5), (4, 6), (4, 12), (4, 13), (4, 17), (5, 7), (5, 11), (5, 16), (6, 13), (6, 17), (7, 8), (7, 16), (10, 20), (11, 15), (11, 16), (12, 13), (12, 14), (13, 17), (13, 18), (13, 19), (14, 18), (14, 20), (15, 16), (17, 21), (18, 19), (19, 21)]
22
36
true
13
20
2
4
0,5,6,12,13,17
7
21
false
7
21
true
7
21
4
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (1, 4), (1, 6), (2, 15), (2, 19), (2, 20), (2, 21), (3, 7), (3, 10), (3, 11), (4, 6), (4, 17), (4, 25), (5, 15), (7, 10), (8, 16), (8, 24), (9, 10), (12, 18), (12, 19), (12, 20), (12, 22), (13, 20), (13, 22), (13, 23), (14, 21), (14, 22), (14, 23), (15, 19), (17, 25), (17, 26), (18, 19), (18, 20), (19, 20), (21, 22), (21, 23), (22, 23), (24, 25), (25, 26), (26, 27)]
28
44
true
16
10
3
3
0,7,10,11
23
25
false
23
25
true
23
25
5
erdos
[(0, 1), (0, 21), (0, 23), (1, 3), (1, 14), (1, 21), (1, 23), (1, 26), (2, 7), (2, 10), (2, 19), (3, 21), (3, 23), (3, 26), (4, 11), (4, 16), (4, 22), (5, 18), (6, 8), (6, 11), (6, 12), (6, 18), (7, 9), (7, 10), (7, 19), (7, 23), (8, 12), (9, 13), (9, 17), (10, 15), (10, 19), (11, 12), (12, 23), (13, 22), (14, 21), (14, 24), (15, 21), (15, 25), (16, 20), (17, 19), (18, 25), (21, 23), (21, 24), (21, 26), (22, 26), (23, 24)]
27
46
true
19
23
7
21
0,1,3,14,15,23,24,26
4
23
false
4
23
true
4
23
3
erdos
[(0, 1), (0, 2), (0, 4), (0, 5), (0, 6), (0, 7), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 6), (2, 8), (2, 9), (3, 6), (3, 8), (3, 9), (4, 5), (4, 10), (5, 6), (5, 10), (5, 11), (7, 24), (8, 9), (8, 20), (8, 21), (9, 20), (9, 21), (10, 11), (12, 27), (13, 14), (13, 22), (14, 22), (15, 16), (15, 18), (16, 17), (17, 19), (18, 22), (19, 24), (20, 21), (20, 23), (21, 23), (23, 25), (25, 26), (26, 27)]
28
46
true
25
6
5
20
8,9,21,23
19
4
false
19
4
true
19
4
4
erdos
[(0, 1), (0, 3), (0, 7), (0, 8), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 4), (2, 5), (2, 8), (2, 9), (3, 7), (3, 8), (3, 9), (4, 5), (4, 6), (4, 9), (4, 10), (4, 11), (5, 9), (5, 11), (7, 8), (7, 12), (7, 13), (8, 9), (10, 11), (10, 16), (10, 17), (11, 18), (12, 13), (13, 14), (14, 15), (16, 17)]
19
36
true
22
12
2
5
1,2,4,9,11
11
8
false
11
8
true
11
8
3
erdos
[(0, 2), (0, 3), (0, 4), (0, 7), (0, 8), (0, 9), (0, 10), (0, 11), (0, 13), (0, 14), (0, 15), (0, 16), (0, 17), (0, 18), (0, 20), (0, 21), (0, 22), (0, 23), (1, 2), (1, 3), (1, 5), (1, 6), (1, 7), (1, 8), (1, 12), (1, 13), (1, 14), (1, 16), (1, 17), (1, 18), (1, 19), (1, 20), (1, 21), (1, 23), (2, 3), (2, 4), (2, 6), (2, 9), (2, 12), (2, 13), (2, 14), (2, 15), (2, 16), (2, 18), (2, 19), (2, 20), (2, 22), (2, 23), (3, 4), (3, 5), (3, 7), (3, 8), (3, 9), (3, 11), (3, 12), (3, 13), (3, 14), (3, 15), (3, 17), (3, 19), (3, 20), (3, 21), (3, 22), (3, 23), (4, 6), (4, 8), (4, 9), (4, 10), (4, 11), (4, 12), (4, 13), (4, 14), (4, 15), (4, 17), (4, 18), (4, 19), (4, 21), (4, 22), (4, 23), (5, 6), (5, 7), (5, 8), (5, 9), (5, 10), (5, 11), (5, 12), (5, 13), (5, 15), (5, 16), (5, 17), (5, 21), (6, 7), (6, 8), (6, 9), (6, 10), (6, 11), (6, 12), (6, 13), (6, 14), (6, 16), (6, 17), (6, 18), (6, 19), (6, 22), (6, 23), (7, 8), (7, 9), (7, 10), (7, 11), (7, 13), (7, 14), (7, 15), (7, 17), (7, 18), (7, 19), (7, 20), (7, 21), (7, 22), (7, 23), (8, 9), (8, 10), (8, 11), (8, 12), (8, 13), (8, 15), (8, 16), (8, 19), (8, 20), (8, 21), (8, 23), (9, 11), (9, 12), (9, 13), (9, 15), (9, 17), (9, 18), (9, 19), (9, 21), (9, 22), (9, 23), (10, 11), (10, 12), (10, 13), (10, 14), (10, 15), (10, 17), (10, 18), (10, 19), (10, 20), (10, 22), (10, 23), (11, 12), (11, 13), (11, 14), (11, 15), (11, 16), (11, 18), (11, 19), (11, 20), (11, 21), (11, 22), (11, 23), (12, 13), (12, 15), (12, 18), (12, 19), (12, 20), (12, 22), (12, 23), (13, 14), (13, 15), (13, 16), (13, 17), (13, 18), (13, 19), (13, 20), (13, 22), (13, 23), (14, 15), (14, 16), (14, 17), (14, 18), (14, 20), (14, 21), (14, 22), (14, 23), (15, 16), (15, 18), (15, 19), (15, 20), (15, 21), (15, 23), (16, 17), (16, 18), (16, 19), (16, 20), (16, 21), (16, 22), (17, 19), (17, 20), (17, 21), (17, 22), (17, 23), (18, 19), (18, 21), (18, 23), (19, 20), (19, 21), (19, 22), (19, 23), (20, 22), (20, 23), (21, 22), (21, 23)]
24
214
true
933
13
22
17
0,1,3,4,5,6,7,9,10,13,14,16,19,20,21,22,23
6
14
true
6
14
true
6
14
1
erdos
[(0, 1), (0, 9), (1, 6), (1, 9), (1, 17), (1, 19), (2, 20), (3, 7), (3, 16), (4, 12), (4, 15), (4, 20), (5, 21), (6, 7), (8, 12), (8, 13), (8, 14), (8, 15), (10, 11), (12, 13), (12, 20), (13, 15), (16, 21), (18, 19)]
22
24
true
4
4
3
13
8,12,15
12
18
false
12
18
false
12
18
-1
erdos
[(0, 1), (1, 3), (2, 5), (2, 7), (3, 4), (5, 6), (8, 9), (8, 22), (10, 11), (11, 12), (11, 13), (14, 15), (14, 16), (14, 18), (17, 20), (17, 21), (19, 21), (20, 22), (23, 24), (23, 25), (26, 27)]
28
21
false
0
23
2
6
5
20
17
true
20
17
true
20
17
1
erdos
[(0, 2), (0, 11), (0, 12), (1, 8), (2, 11), (3, 9), (3, 10), (4, 6), (4, 7), (5, 6), (5, 11), (8, 12)]
13
12
true
1
11
3
7
4
3
0
false
3
0
false
3
0
-1
erdos
[(0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (3, 7), (3, 8), (3, 14), (4, 6), (4, 7), (5, 6), (5, 7), (5, 16), (6, 7), (6, 16), (8, 14), (8, 15), (9, 10), (9, 11), (9, 15), (10, 11), (11, 13), (12, 16), (13, 17), (14, 15)]
18
32
true
18
8
4
9
10,11,15
1
12
false
1
12
true
1
12
4
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 4), (2, 6), (2, 8), (3, 4), (3, 5), (3, 6), (3, 7), (3, 9), (3, 10), (4, 6), (5, 7), (5, 11), (7, 24), (9, 13), (9, 16), (9, 17), (9, 18), (10, 11), (10, 18), (10, 24), (11, 24), (12, 13), (12, 15), (12, 16), (12, 19), (13, 14), (13, 15), (13, 16), (13, 17), (13, 18), (14, 15), (14, 16), (14, 17), (14, 19), (14, 20), (14, 21), (15, 16), (16, 17), (16, 19), (17, 18), (19, 21), (20, 21), (20, 25), (22, 23)]
26
56
true
43
9
5
6
0,1,2,3,4
24
17
false
24
17
true
24
17
3
erdos
[(0, 8), (1, 4), (1, 9), (2, 5), (2, 11), (3, 7), (4, 10), (6, 8), (7, 11), (8, 10)]
12
10
false
0
9
1
9
1
10
5
false
10
5
false
10
5
-1
erdos
[(0, 18), (0, 19), (0, 20), (0, 21), (0, 22), (0, 23), (0, 24), (0, 25), (0, 26), (0, 27), (0, 28), (0, 31), (1, 18), (1, 19), (1, 20), (1, 21), (1, 22), (1, 24), (1, 26), (1, 29), (1, 30), (2, 18), (2, 19), (2, 20), (2, 23), (2, 24), (2, 25), (2, 27), (2, 28), (2, 29), (2, 31), (3, 18), (3, 19), (3, 20), (3, 21), (3, 24), (3, 25), (3, 26), (3, 27), (3, 28), (3, 29), (3, 30), (3, 31), (4, 18), (4, 20), (4, 21), (4, 22), (4, 25), (4, 27), (4, 29), (4, 30), (4, 31), (5, 18), (5, 19), (5, 22), (5, 23), (5, 25), (5, 26), (5, 27), (5, 28), (5, 29), (5, 30), (5, 31), (6, 18), (6, 19), (6, 20), (6, 21), (6, 25), (6, 26), (6, 27), (6, 29), (6, 30), (6, 31), (7, 18), (7, 19), (7, 21), (7, 22), (7, 23), (7, 24), (7, 25), (7, 28), (7, 29), (7, 30), (8, 18), (8, 19), (8, 20), (8, 21), (8, 22), (8, 23), (8, 24), (8, 25), (8, 27), (8, 28), (8, 29), (8, 31), (9, 18), (9, 19), (9, 20), (9, 21), (9, 22), (9, 23), (9, 24), (9, 25), (9, 27), (9, 28), (9, 29), (9, 30), (9, 31), (10, 18), (10, 19), (10, 20), (10, 21), (10, 22), (10, 23), (10, 26), (10, 27), (10, 28), (10, 29), (10, 30), (10, 31), (11, 18), (11, 19), (11, 20), (11, 21), (11, 22), (11, 23), (11, 24), (11, 26), (11, 27), (11, 28), (11, 29), (11, 30), (11, 31), (12, 18), (12, 19), (12, 20), (12, 21), (12, 23), (12, 24), (12, 26), (12, 27), (12, 28), (12, 31), (13, 18), (13, 19), (13, 20), (13, 21), (13, 22), (13, 23), (13, 24), (13, 28), (13, 29), (13, 30), (13, 31), (14, 18), (14, 19), (14, 20), (14, 22), (14, 23), (14, 24), (14, 25), (14, 27), (15, 18), (15, 20), (15, 22), (15, 24), (15, 25), (15, 26), (15, 30), (15, 31), (16, 18), (16, 21), (16, 23), (16, 24), (16, 25), (16, 28), (16, 29), (16, 30), (16, 31), (17, 18), (17, 19), (17, 22), (17, 23), (17, 24), (17, 26), (17, 29), (17, 30), (17, 31)]
32
188
true
0
22
13
0
18,19,20,21,22,23,24,25,26,27,28,31
29
24
false
29
24
true
29
24
2