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), (1, 2), (2, 4), (2, 6), (3, 24), (3, 26), (4, 5), (4, 6), (4, 7), (5, 6), (5, 7), (5, 8), (6, 7), (6, 23), (7, 8), (9, 17), (10, 13), (10, 23), (11, 24), (11, 25), (11, 26), (12, 17), (12, 18), (13, 22), (14, 15), (14, 16), (15, 16), (15, 19), (15, 20), (16, 19), (16, 22), (18, 21), (19, 20), (21, 24), (24, 26), (25, 26)]
27
37
true
13
10
2
0
1,2
15
16
true
15
16
true
15
16
1
erdos
[(0, 3), (0, 18), (1, 6), (1, 23), (2, 11), (2, 16), (2, 25), (2, 26), (2, 27), (3, 14), (3, 23), (3, 28), (4, 9), (4, 11), (4, 16), (4, 20), (4, 25), (4, 26), (5, 7), (5, 12), (5, 22), (7, 10), (7, 12), (7, 22), (7, 24), (8, 18), (8, 21), (9, 20), (10, 12), (10, 22), (10, 24), (11, 13), (11, 16), (11, 25), (11, 27), (12, 17), (12, 22), (12, 24), (13, 16), (13, 25), (13, 27), (14, 28), (15, 19), (15, 29), (16, 20), (16, 25), (16, 27), (17, 19), (17, 24), (18, 21), (22, 24), (23, 28), (25, 27), (26, 27)]
30
54
true
39
28
3
16
2,4,11,13,20,25,27
10
13
false
10
13
false
10
13
-1
erdos
[(0, 9), (0, 10), (1, 5), (1, 13), (2, 11), (2, 12), (2, 17), (2, 19), (2, 20), (2, 22), (3, 10), (3, 14), (4, 12), (4, 19), (5, 18), (6, 19), (6, 25), (7, 10), (7, 11), (7, 19), (7, 21), (8, 16), (8, 21), (8, 22), (9, 10), (9, 18), (9, 22), (9, 23), (11, 15), (11, 22), (11, 23), (12, 15), (12, 19), (12, 22), (13, 19), (13, 21), (13, 25), (14, 15), (15, 17), (15, 18), (15, 23), (16, 24), (18, 22), (19, 21), (20, 24)]
26
45
true
9
24
2
25
6,13
25
21
false
25
21
true
25
21
2
erdos
[(0, 3), (1, 2), (1, 3), (2, 15), (4, 5), (5, 6), (7, 8), (8, 9), (8, 14), (10, 11), (10, 12), (10, 13), (11, 17), (12, 13), (16, 17), (16, 18)]
19
16
true
1
4
1
9
8
15
2
true
15
2
true
15
2
1
erdos
[(0, 2), (0, 3), (0, 7), (1, 6), (1, 8), (2, 3), (2, 7), (2, 9), (4, 5), (4, 6), (4, 7), (5, 6), (5, 7), (6, 8), (7, 9)]
10
15
true
6
0
3
8
1,6
6
5
true
6
5
true
6
5
1
erdos
[(0, 1), (0, 2), (0, 3), (0, 5), (0, 6), (1, 2), (1, 3), (1, 4), (2, 4), (2, 9), (3, 5), (3, 6), (3, 10), (3, 11), (4, 9), (5, 6), (7, 13), (7, 14), (7, 20), (8, 16), (10, 11), (11, 16), (12, 13), (12, 14), (12, 15), (13, 19), (14, 15), (17, 18), (18, 19), (19, 20)]
21
30
true
10
14
3
10
3,11
0
11
false
0
11
true
0
11
2
erdos
[(0, 1), (0, 4), (0, 5), (0, 6), (0, 7), (1, 2), (1, 3), (2, 3), (2, 4), (2, 5), (2, 8), (2, 12), (2, 15), (3, 4), (3, 15), (3, 20), (4, 5), (5, 8), (6, 7), (6, 9), (6, 10), (6, 11), (6, 12), (7, 11), (8, 15), (8, 16), (9, 10), (9, 11), (9, 17), (9, 24), (10, 11), (10, 24), (12, 21), (13, 14), (14, 26), (15, 16), (15, 20), (15, 28), (15, 29), (16, 29), (17, 23), (17, 24), (18, 25), (18, 27), (18, 28), (19, 20), (19, 21), (20, 28), (20, 29), (22, 23), (22, 24), (23, 24), (25, 26), (25, 27), (27, 28)]
30
55
true
24
26
2
13
14
23
29
false
23
29
true
23
29
7
erdos
[(0, 3), (0, 4), (0, 5), (1, 2), (1, 8), (1, 13), (2, 8), (2, 10), (3, 5), (3, 13), (4, 5), (4, 7), (4, 9), (4, 11), (5, 12), (5, 13), (6, 8), (6, 10), (7, 9), (7, 11), (7, 12), (8, 10), (9, 12), (9, 13)]
14
24
true
9
4
5
9
4,7,12,13
13
9
true
13
9
true
13
9
1
erdos
[(0, 1), (0, 2), (0, 4), (2, 13), (3, 5), (3, 12), (6, 9), (7, 10), (7, 11), (8, 9), (8, 11), (9, 12), (10, 12), (11, 12), (13, 14), (14, 15)]
16
16
true
0
12
4
12
3,9,10,11
5
2
false
5
2
false
5
2
-1
erdos
[(0, 1), (0, 4), (1, 4), (1, 5), (2, 3), (2, 7), (2, 9), (2, 10), (3, 7), (3, 11), (3, 14), (5, 7), (5, 9), (5, 22), (6, 25), (6, 31), (7, 9), (7, 11), (7, 22), (8, 10), (8, 24), (9, 25), (10, 16), (10, 24), (11, 22), (12, 13), (12, 24), (12, 28), (12, 29), (13, 16), (13, 24), (14, 26), (15, 17), (15, 18), (15, 19), (16, 24), (17, 18), (17, 19), (18, 19), (19, 21), (20, 23), (20, 31), (23, 30), (23, 31), (24, 28), (25, 31), (26, 27), (27, 28), (27, 29), (28, 29)]
32
50
true
20
28
4
24
8,10,12,13,16,28
29
15
false
29
15
false
29
15
-1
erdos
[(0, 1), (0, 2), (0, 4), (1, 2), (1, 3), (2, 4), (3, 5), (4, 5), (5, 6)]
7
9
true
2
6
1
4
0,2,5
0
5
false
0
5
true
0
5
2
erdos
[(0, 3), (0, 7), (0, 14), (1, 7), (1, 11), (1, 12), (2, 6), (2, 14), (3, 16), (4, 6), (4, 15), (5, 11), (5, 16), (6, 11), (6, 13), (8, 9), (9, 10), (10, 11), (11, 13), (13, 14)]
17
20
true
1
12
1
13
6,11,14
4
7
false
4
7
true
4
7
4
erdos
[(0, 1), (0, 2), (1, 2), (1, 29), (1, 30), (2, 8), (2, 29), (2, 30), (3, 6), (4, 18), (5, 7), (6, 11), (7, 9), (8, 27), (8, 28), (9, 11), (10, 12), (10, 13), (10, 14), (12, 14), (12, 15), (12, 16), (13, 14), (13, 17), (14, 15), (14, 16), (15, 16), (18, 21), (18, 24), (19, 20), (19, 21), (19, 22), (19, 24), (20, 22), (20, 23), (20, 24), (20, 25), (20, 26), (20, 27), (21, 24), (22, 24), (22, 25), (23, 25), (23, 26), (25, 26), (25, 27), (26, 27), (27, 28), (29, 30)]
31
49
true
26
11
2
16
12,14,15
8
13
false
8
13
false
8
13
-1
erdos
[(0, 1), (0, 2), (0, 6), (0, 7), (1, 2), (1, 3), (1, 4), (2, 3), (2, 6), (2, 8), (2, 10), (3, 4), (3, 10), (3, 11), (5, 6), (5, 7), (5, 8), (6, 7), (6, 8), (6, 9), (7, 9), (8, 10), (10, 11)]
12
23
true
12
0
4
5
6,7,8
10
9
false
10
9
true
10
9
3
erdos
[(0, 3), (0, 4), (0, 5), (0, 6), (0, 8), (0, 9), (0, 10), (0, 11), (0, 12), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (1, 11), (1, 12), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 9), (2, 10), (2, 11), (2, 13)]
14
28
true
0
7
2
4
0,1,2
6
5
false
6
5
true
6
5
2
erdos
[(0, 2), (0, 8), (0, 9), (1, 3), (1, 24), (1, 25), (2, 5), (2, 9), (2, 11), (3, 6), (3, 7), (3, 12), (3, 25), (4, 10), (4, 21), (4, 22), (4, 23), (5, 9), (5, 16), (6, 7), (6, 13), (6, 25), (7, 12), (7, 19), (7, 20), (8, 12), (9, 11), (9, 14), (9, 15), (9, 16), (10, 21), (10, 22), (11, 14), (11, 17), (11, 18), (12, 19), (13, 20), (14, 15), (15, 16), (17, 18), (19, 20), (21, 22), (21, 23), (24, 25)]
26
44
true
20
10
3
13
6,20
3
8
false
3
8
true
3
8
2
erdos
[(0, 1), (1, 25), (2, 12), (2, 24), (2, 27), (3, 4), (3, 7), (3, 8), (3, 9), (4, 7), (5, 6), (5, 21), (6, 21), (7, 8), (7, 9), (7, 18), (8, 10), (8, 18), (9, 18), (11, 27), (11, 29), (12, 27), (13, 14), (13, 15), (14, 15), (16, 17), (16, 19), (16, 20), (17, 19), (17, 21), (19, 21), (22, 23), (22, 25), (22, 26), (23, 25), (23, 26), (24, 27), (24, 28), (25, 26), (27, 28)]
30
40
true
16
20
1
27
2,11,12,24,28
2
4
false
2
4
false
2
4
-1
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (0, 10), (0, 11), (0, 12), (0, 13), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (1, 11), (1, 12), (1, 13), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (2, 9), (2, 10), (2, 11), (2, 12), (2, 13), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (3, 9), (3, 10), (3, 11), (3, 12), (3, 13), (4, 5), (4, 6), (4, 7), (4, 8), (4, 9), (4, 10), (4, 11), (4, 12), (4, 13), (5, 6), (5, 7), (5, 8), (5, 9), (5, 10), (5, 11), (5, 12), (5, 13), (6, 7), (6, 8), (6, 9), (6, 10), (6, 11), (6, 12), (6, 13), (7, 8), (7, 9), (7, 10), (7, 11), (7, 12), (7, 13), (8, 9), (8, 10), (8, 11), (8, 12), (8, 13), (9, 10), (9, 11), (9, 12), (9, 13), (10, 11), (10, 12), (10, 13), (11, 12), (11, 13), (12, 13)]
14
91
true
364
0
13
12
0,1,2,3,4,5,6,7,8,9,10,11,13
8
1
true
8
1
true
8
1
1
erdos
[(0, 1), (0, 18), (1, 2), (1, 20), (3, 4), (4, 5), (5, 6), (6, 7), (7, 12), (8, 11), (9, 13), (9, 14), (10, 15), (11, 16), (13, 15), (16, 17), (19, 20)]
21
17
false
0
6
2
2
1
13
18
false
13
18
false
13
18
-1
erdos
[(0, 1), (0, 6), (0, 7), (0, 8), (1, 6), (2, 12), (3, 10), (4, 5), (4, 6), (5, 6), (5, 10), (7, 8), (7, 11), (8, 11), (9, 12)]
13
15
true
4
6
4
0
1,6,7,8
2
0
false
2
0
false
2
0
-1
erdos
[(0, 5), (0, 10), (1, 2), (1, 3), (1, 11), (1, 12), (1, 17), (2, 3), (2, 11), (2, 17), (3, 6), (3, 9), (3, 11), (3, 13), (3, 17), (3, 18), (4, 14), (4, 17), (5, 13), (6, 8), (7, 15), (9, 11), (9, 18), (10, 16), (14, 16), (15, 17)]
19
26
true
9
10
2
17
1,2,3,4,15
13
14
false
13
14
true
13
14
4
erdos
[(0, 2), (0, 4), (0, 5), (0, 6), (0, 7), (1, 3), (1, 7), (3, 4), (3, 5), (3, 6), (3, 7), (4, 5), (4, 6), (5, 6), (5, 7), (6, 7), (8, 9), (8, 10), (8, 12), (8, 13), (9, 10), (9, 11), (10, 11), (10, 12), (10, 13), (12, 13), (14, 15), (14, 16), (15, 16)]
17
29
true
20
13
3
10
8,9,11,12,13
12
8
true
12
8
true
12
8
1
erdos
[(0, 1), (0, 2), (0, 25), (1, 3), (1, 9), (1, 10), (1, 25), (2, 3), (2, 4), (3, 4), (3, 9), (3, 10), (3, 25), (5, 6), (5, 8), (5, 11), (5, 23), (6, 7), (6, 11), (7, 15), (7, 16), (8, 12), (8, 13), (8, 15), (9, 10), (9, 25), (11, 21), (11, 23), (11, 24), (12, 13), (13, 14), (15, 16), (16, 17), (18, 23), (18, 24), (19, 22), (20, 21), (21, 23)]
26
38
true
14
19
1
24
11,18
21
9
false
21
9
false
21
9
-1
erdos
[(0, 9), (0, 10), (1, 9), (2, 9), (2, 10), (3, 9), (4, 9), (4, 10), (5, 9), (5, 10), (6, 9), (6, 10), (7, 9), (8, 9), (8, 10)]
11
15
true
0
6
2
7
9
5
7
false
5
7
true
5
7
2
erdos
[(0, 1), (1, 3), (1, 4), (2, 5), (2, 14), (3, 4), (3, 7), (3, 15), (4, 15), (5, 6), (7, 8), (7, 15), (7, 17), (9, 10), (9, 12), (9, 16), (9, 17), (10, 11), (10, 16), (10, 17), (10, 20), (11, 16), (11, 18), (11, 19), (11, 20), (12, 20), (13, 14), (15, 16), (15, 17), (15, 18), (16, 17), (16, 18), (18, 19), (19, 20)]
21
34
true
15
2
2
17
7,9,10,15,16
3
14
false
3
14
false
3
14
-1
erdos
[(0, 1), (0, 2), (0, 3), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (0, 11), (0, 12), (0, 13), (0, 15), (0, 16), (0, 17), (0, 18), (0, 20), (0, 22), (0, 23), (0, 25), (0, 26), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 9), (1, 10), (1, 11), (1, 12), (1, 13), (1, 14), (1, 15), (1, 16), (1, 18), (1, 19), (1, 20), (1, 21), (1, 23), (1, 24), (1, 25), (1, 26), (2, 4), (2, 5), (2, 8), (2, 9), (2, 10), (2, 12), (2, 13), (2, 14), (2, 15), (2, 16), (2, 17), (2, 18), (2, 19), (2, 20), (2, 21), (2, 22), (2, 23), (2, 25), (2, 26), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (3, 9), (3, 10), (3, 11), (3, 12), (3, 13), (3, 14), (3, 15), (3, 16), (3, 17), (3, 18), (3, 19), (3, 21), (3, 23), (3, 24), (3, 25), (3, 26), (4, 5), (4, 6), (4, 8), (4, 9), (4, 12), (4, 13), (4, 14), (4, 15), (4, 16), (4, 17), (4, 18), (4, 19), (4, 20), (4, 21), (4, 22), (4, 23), (4, 24), (5, 6), (5, 8), (5, 9), (5, 11), (5, 12), (5, 13), (5, 14), (5, 15), (5, 16), (5, 17), (5, 18), (5, 19), (5, 20), (5, 21), (5, 23), (5, 24), (5, 25), (5, 26), (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, 20), (6, 21), (6, 22), (6, 23), (6, 24), (7, 8), (7, 9), (7, 10), (7, 11), (7, 13), (7, 15), (7, 17), (7, 18), (7, 20), (7, 21), (7, 23), (7, 24), (7, 25), (7, 26), (8, 9), (8, 10), (8, 11), (8, 12), (8, 13), (8, 14), (8, 15), (8, 16), (8, 17), (8, 18), (8, 19), (8, 20), (8, 21), (8, 22), (8, 23), (8, 24), (8, 25), (9, 11), (9, 12), (9, 14), (9, 15), (9, 16), (9, 17), (9, 18), (9, 20), (9, 21), (9, 22), (9, 23), (9, 24), (9, 25), (9, 26), (10, 11), (10, 13), (10, 14), (10, 15), (10, 16), (10, 17), (10, 18), (10, 19), (10, 20), (10, 21), (10, 23), (10, 24), (10, 25), (10, 26), (11, 12), (11, 14), (11, 15), (11, 16), (11, 17), (11, 18), (11, 19), (11, 20), (11, 21), (11, 22), (11, 23), (11, 24), (11, 25), (11, 26), (12, 13), (12, 15), (12, 16), (12, 17), (12, 18), (12, 19), (12, 20), (12, 22), (12, 23), (12, 24), (12, 25), (12, 26), (13, 14), (13, 15), (13, 16), (13, 19), (13, 20), (13, 21), (13, 22), (13, 23), (13, 24), (13, 25), (13, 26), (14, 15), (14, 16), (14, 17), (14, 18), (14, 19), (14, 20), (14, 21), (14, 22), (14, 23), (14, 24), (14, 25), (14, 26), (15, 17), (15, 18), (15, 20), (15, 22), (15, 23), (15, 24), (15, 25), (15, 26), (16, 17), (16, 18), (16, 19), (16, 20), (16, 21), (16, 22), (16, 23), (16, 24), (16, 25), (16, 26), (17, 18), (17, 19), (17, 20), (17, 21), (17, 22), (17, 23), (17, 24), (17, 25), (17, 26), (18, 19), (18, 20), (18, 21), (18, 23), (18, 25), (19, 20), (19, 26), (20, 22), (20, 23), (20, 24), (21, 24), (21, 25), (21, 26), (22, 23), (22, 24), (22, 25), (22, 26), (23, 24), (23, 25), (24, 25), (24, 26), (25, 26)]
27
291
true
1,670
6
22
0
1,2,3,5,6,7,8,9,11,12,13,15,16,17,18,20,22,23,25,26
14
10
true
14
10
true
14
10
1
erdos
[(0, 2), (0, 4), (0, 7), (0, 9), (1, 3), (1, 5), (1, 6), (1, 8), (2, 7), (3, 6), (3, 8), (4, 14), (5, 13), (6, 8), (7, 12), (9, 12), (9, 14), (10, 11), (10, 15), (13, 15)]
16
20
true
5
10
2
1
3,5,6,8
13
3
false
13
3
true
13
3
3
erdos
[(0, 1), (0, 2), (0, 5), (2, 8), (3, 4), (3, 7), (6, 7)]
9
7
false
0
0
3
0
1,2,5
1
4
false
1
4
false
1
4
-1
erdos
[(0, 18), (1, 10), (2, 4), (2, 8), (3, 12), (3, 13), (3, 17), (3, 18), (4, 20), (4, 21), (5, 6), (5, 7), (6, 7), (6, 14), (9, 14), (9, 15), (9, 16), (10, 11), (10, 19), (12, 13), (12, 17), (12, 18), (13, 17), (13, 18), (14, 15), (14, 16), (15, 16), (15, 18), (17, 18), (20, 21)]
22
30
true
16
5
2
11
10
2
19
false
2
19
false
2
19
-1
erdos
[(0, 1), (1, 2), (2, 20), (3, 5), (3, 6), (3, 22), (3, 23), (3, 25), (4, 17), (5, 6), (5, 22), (5, 23), (5, 25), (6, 25), (7, 10), (7, 11), (7, 12), (7, 14), (7, 15), (7, 18), (7, 19), (8, 9), (8, 12), (8, 14), (8, 21), (9, 10), (9, 18), (9, 24), (10, 24), (11, 17), (11, 18), (11, 21), (12, 18), (13, 16), (13, 20), (14, 18), (15, 19), (16, 21), (19, 24), (21, 24), (22, 25)]
26
41
true
13
15
2
20
2,13
11
10
false
11
10
true
11
10
2
erdos
[(0, 22), (1, 33), (2, 12), (3, 12), (3, 33), (4, 12), (4, 24), (5, 7), (5, 23), (6, 29), (7, 14), (7, 20), (7, 27), (7, 28), (7, 31), (7, 33), (8, 33), (9, 12), (9, 29), (10, 33), (11, 26), (12, 16), (12, 17), (12, 19), (12, 20), (12, 22), (13, 24), (15, 29), (18, 33), (21, 29), (24, 25), (24, 33), (29, 30), (32, 33)]
34
34
true
0
30
1
22
0,12
4
31
false
4
31
true
4
31
4
erdos
[(0, 1), (0, 2), (0, 3), (0, 6), (1, 2), (1, 3), (1, 4), (1, 5), (2, 3), (2, 4), (2, 5), (3, 5), (4, 5), (6, 7), (6, 8), (7, 8), (7, 11), (8, 11), (9, 10), (9, 12), (9, 13), (10, 14), (12, 13), (12, 22), (12, 24), (13, 17), (13, 19), (13, 20), (13, 22), (13, 23), (14, 16), (15, 17), (16, 18), (16, 20), (17, 19), (18, 19), (18, 20), (20, 21), (21, 23), (22, 24), (23, 24), (23, 25), (24, 25)]
26
43
true
18
6
3
21
20,23
20
18
true
20
18
true
20
18
1
erdos
[(0, 3), (0, 6), (0, 27), (1, 12), (2, 5), (2, 9), (2, 26), (3, 4), (4, 6), (4, 7), (5, 9), (6, 8), (9, 10), (10, 11), (11, 22), (12, 18), (13, 14), (13, 15), (13, 23), (14, 15), (16, 18), (17, 22), (19, 20), (19, 24), (20, 23), (20, 24), (21, 22), (25, 27)]
28
28
true
3
4
3
14
13,15
11
13
false
11
13
false
11
13
-1
erdos
[(0, 1), (0, 3), (1, 3), (2, 4), (2, 5), (3, 6), (4, 7), (6, 8), (6, 9), (7, 9), (8, 9)]
10
11
true
2
1
2
9
6,7,8
5
8
false
5
8
true
5
8
5
erdos
[(0, 3), (0, 6), (0, 8), (0, 11), (0, 12), (0, 13), (1, 3), (1, 8), (1, 11), (1, 15), (2, 4), (2, 5), (2, 7), (2, 10), (2, 14), (3, 6), (3, 11), (4, 5), (4, 7), (4, 10), (5, 7), (5, 10), (6, 11), (6, 12), (6, 13), (7, 10), (8, 11), (8, 15), (9, 15), (11, 15), (12, 13)]
16
31
true
24
11
6
2
4,5,7,10,14
6
10
false
6
10
false
6
10
-1
erdos
[(0, 8), (1, 6), (2, 3), (3, 5), (3, 7), (4, 6), (4, 7)]
9
7
false
0
1
1
2
3
3
0
false
3
0
false
3
0
-1
erdos
[(0, 5), (1, 2), (1, 3), (2, 4), (4, 5)]
6
5
false
0
2
2
3
1
2
0
false
2
0
true
2
0
3
erdos
[(0, 1), (0, 3), (0, 4), (0, 8), (0, 10), (0, 13), (0, 14), (0, 17), (0, 18), (0, 19), (0, 22), (0, 25), (0, 27), (0, 28), (0, 29), (1, 2), (1, 4), (1, 10), (1, 13), (1, 17), (1, 18), (1, 19), (2, 3), (2, 6), (2, 8), (2, 10), (2, 13), (2, 15), (2, 17), (2, 22), (2, 23), (2, 26), (2, 28), (2, 29), (2, 32), (3, 4), (3, 5), (3, 10), (3, 22), (3, 24), (3, 26), (3, 28), (3, 29), (4, 6), (4, 11), (4, 12), (4, 16), (4, 18), (4, 22), (4, 24), (4, 25), (4, 27), (4, 31), (5, 7), (5, 10), (5, 17), (5, 18), (5, 22), (5, 23), (5, 24), (6, 7), (6, 13), (6, 15), (6, 23), (6, 26), (6, 28), (6, 29), (6, 30), (7, 8), (7, 10), (7, 13), (7, 18), (7, 19), (7, 21), (7, 24), (7, 25), (7, 32), (8, 11), (8, 21), (8, 27), (8, 28), (8, 30), (9, 21), (9, 22), (9, 32), (10, 12), (10, 13), (10, 15), (10, 16), (10, 20), (10, 23), (10, 26), (10, 28), (10, 29), (10, 32), (11, 14), (11, 15), (11, 16), (11, 17), (11, 19), (11, 31), (11, 32), (12, 20), (12, 22), (12, 24), (12, 26), (13, 14), (13, 19), (13, 20), (13, 29), (14, 19), (14, 20), (14, 21), (14, 22), (14, 23), (14, 24), (15, 17), (15, 18), (15, 20), (15, 21), (15, 27), (15, 29), (15, 30), (16, 29), (16, 32), (17, 18), (17, 22), (17, 24), (17, 25), (17, 26), (17, 27), (17, 29), (18, 21), (18, 23), (18, 24), (18, 26), (18, 29), (18, 31), (18, 32), (19, 24), (19, 30), (19, 32), (20, 21), (20, 22), (20, 26), (21, 22), (21, 27), (21, 30), (21, 31), (21, 32), (22, 23), (22, 24), (22, 25), (22, 26), (22, 31), (23, 31), (23, 32), (24, 25), (24, 26), (24, 30), (25, 27), (25, 28), (25, 29), (25, 32), (26, 27), (26, 28), (26, 29), (27, 29), (28, 29), (30, 31), (30, 32), (31, 32)]
33
172
true
211
26
13
22
0,2,3,4,5,9,12,14,17,20,21,23,24,25,26,31
3
31
false
3
31
true
3
31
2
erdos
[(0, 1), (0, 2), (1, 2), (1, 4), (3, 4)]
5
5
true
1
2
2
3
4
0
2
true
0
2
true
0
2
1
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (1, 2), (1, 3), (1, 4), (1, 5), (2, 3), (2, 4), (2, 5), (3, 4), (3, 5), (4, 5)]
6
15
true
20
0
5
2
0,1,3,4,5
2
0
true
2
0
true
2
0
1
erdos
[(0, 3), (0, 6), (1, 4), (1, 5), (2, 3), (2, 6), (5, 7), (7, 12), (8, 9), (9, 10), (9, 11), (11, 12)]
13
12
true
0
10
1
0
3,6
10
7
false
10
7
true
10
7
4
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 6), (1, 2), (1, 3), (1, 4), (1, 5), (2, 3), (2, 4), (2, 6), (2, 7), (2, 9), (3, 4), (3, 6), (3, 7), (3, 10), (3, 11), (3, 12), (4, 5), (6, 9), (6, 11), (6, 23), (6, 24), (7, 8), (7, 9), (7, 11), (7, 12), (7, 13), (7, 30), (7, 31), (8, 12), (8, 13), (8, 30), (9, 11), (9, 23), (9, 24), (10, 12), (10, 32), (11, 12), (11, 23), (11, 24), (12, 13), (12, 32), (13, 32), (14, 15), (14, 16), (14, 17), (14, 18), (15, 16), (15, 17), (15, 18), (15, 19), (15, 20), (15, 21), (16, 17), (16, 18), (16, 19), (16, 21), (17, 19), (17, 20), (17, 22), (19, 20), (19, 22), (19, 25), (19, 27), (20, 22), (20, 25), (20, 27), (22, 25), (22, 27), (23, 24), (25, 26), (25, 27), (25, 29), (26, 27), (26, 28), (27, 28), (27, 29), (28, 29), (30, 31)]
33
82
true
72
1
5
8
7,12,13,30
16
29
false
16
29
true
16
29
3
erdos
[(0, 6), (0, 11), (1, 9), (1, 10), (1, 14), (2, 12), (3, 12), (4, 9), (4, 10), (5, 12), (6, 8), (6, 11), (7, 12), (8, 14), (9, 10), (12, 13)]
15
16
true
3
0
2
13
12
4
5
false
4
5
false
4
5
-1
erdos
[(0, 11), (0, 12), (0, 13), (0, 14), (1, 11), (1, 14), (2, 11), (2, 12), (2, 13), (2, 14), (3, 11), (3, 12), (3, 14), (4, 11), (4, 12), (4, 13), (4, 14), (5, 11), (5, 12), (5, 13), (6, 11), (6, 14), (7, 11), (8, 11), (8, 13), (8, 14), (9, 11), (9, 12), (9, 13), (9, 14), (10, 11), (10, 12), (10, 13), (10, 14)]
15
34
true
0
9
4
4
11,12,13,14
6
9
false
6
9
true
6
9
2
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 7), (0, 8), (1, 2), (1, 4), (1, 5), (1, 7), (1, 8), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (4, 7), (5, 6), (5, 7), (5, 8), (6, 7), (6, 8), (7, 8)]
9
28
true
38
7
8
1
0,2,4,5,7,8
5
1
true
5
1
true
5
1
1
erdos
[(0, 1), (0, 2), (0, 3), (0, 5), (0, 6), (1, 2), (1, 3), (1, 4), (2, 3), (2, 6), (3, 4), (3, 6), (5, 7), (5, 8), (5, 9), (7, 9), (8, 9), (8, 16), (8, 21), (9, 21), (10, 16), (10, 23), (11, 16), (11, 21), (11, 23), (12, 13), (13, 14), (13, 15), (13, 17), (14, 17), (15, 18), (15, 19), (15, 20), (16, 21), (18, 19), (18, 20), (18, 25), (19, 20), (19, 26), (20, 25), (20, 26), (20, 27), (22, 23), (22, 24), (23, 24), (25, 27), (25, 28), (27, 28), (27, 29), (28, 29)]
30
50
true
24
17
2
0
1,2,3,5,6
10
8
false
10
8
true
10
8
2
erdos
[(0, 1), (0, 12), (2, 3), (2, 4), (3, 5), (5, 6), (7, 8), (8, 9), (9, 10), (10, 11)]
13
10
false
0
4
1
7
8
12
11
false
12
11
false
12
11
-1
erdos
[(0, 1), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)]
5
6
true
2
2
2
1
0,3,4
0
3
false
0
3
true
0
3
2
erdos
[(0, 3), (0, 5), (0, 7), (1, 12), (2, 6), (2, 12), (3, 4), (4, 5), (6, 8), (8, 11), (9, 10), (10, 11)]
13
12
true
0
8
2
5
0,4
7
9
false
7
9
false
7
9
-1
erdos
[(0, 2), (0, 3), (0, 7), (0, 11), (0, 12), (0, 15), (0, 17), (0, 18), (0, 19), (0, 20), (1, 4), (1, 5), (1, 6), (1, 8), (1, 9), (1, 10), (1, 13), (1, 14), (1, 16), (1, 21), (1, 22), (2, 3), (2, 7), (2, 11), (2, 12), (2, 15), (2, 17), (2, 19), (2, 20), (3, 7), (3, 11), (3, 12), (3, 15), (3, 17), (3, 18), (3, 19), (3, 20), (4, 6), (4, 9), (4, 13), (4, 21), (4, 22), (5, 8), (5, 9), (5, 10), (5, 13), (5, 14), (5, 16), (5, 18), (5, 22), (6, 9), (6, 13), (6, 21), (6, 22), (7, 11), (7, 12), (7, 15), (7, 17), (7, 18), (7, 19), (7, 20), (8, 9), (8, 10), (8, 13), (8, 14), (8, 16), (8, 18), (8, 22), (9, 10), (9, 13), (9, 14), (9, 16), (9, 21), (9, 22), (10, 13), (10, 14), (10, 16), (10, 18), (10, 22), (11, 12), (11, 15), (11, 17), (11, 18), (11, 19), (11, 20), (12, 15), (12, 17), (12, 19), (12, 20), (13, 14), (13, 16), (13, 21), (13, 22), (14, 16), (14, 18), (14, 22), (15, 17), (15, 19), (15, 20), (16, 18), (16, 22), (17, 18), (17, 19), (17, 20), (18, 19), (18, 20), (19, 20), (21, 22)]
23
108
true
266
21
6
15
0,2,3,7,11,12,17,19,20
20
16
false
20
16
true
20
16
2
erdos
[(0, 2), (0, 8), (0, 24), (0, 25), (0, 26), (0, 27), (1, 16), (1, 17), (1, 18), (1, 19), (1, 20), (1, 21), (1, 22), (1, 23), (2, 8), (2, 24), (2, 25), (2, 26), (2, 27), (3, 4), (3, 5), (3, 6), (3, 7), (3, 9), (3, 10), (3, 11), (3, 12), (3, 13), (3, 14), (3, 15), (4, 5), (4, 6), (4, 7), (4, 9), (4, 10), (4, 11), (4, 12), (4, 13), (4, 14), (4, 15), (5, 6), (5, 7), (5, 9), (5, 10), (5, 11), (5, 12), (5, 13), (5, 14), (5, 15), (6, 7), (6, 9), (6, 10), (6, 11), (6, 12), (6, 13), (6, 14), (6, 15), (7, 9), (7, 10), (7, 11), (7, 12), (7, 13), (7, 14), (7, 15), (8, 24), (8, 25), (8, 26), (8, 27), (9, 10), (9, 11), (9, 12), (9, 13), (9, 14), (9, 15), (10, 11), (10, 12), (10, 13), (10, 14), (10, 15), (11, 12), (11, 13), (11, 14), (11, 15), (12, 13), (12, 14), (12, 15), (13, 14), (13, 15), (14, 15), (16, 17), (16, 18), (16, 19), (16, 20), (16, 21), (16, 22), (16, 23), (17, 18), (17, 19), (17, 20), (17, 21), (17, 22), (17, 23), (18, 19), (18, 20), (18, 21), (18, 22), (18, 23), (19, 20), (19, 21), (19, 22), (19, 23), (20, 21), (20, 22), (20, 23), (21, 22), (21, 23), (22, 23), (24, 25), (24, 26), (24, 27), (25, 26), (25, 27), (26, 27)]
28
123
true
339
24
6
4
3,5,6,7,9,10,11,12,13,14,15
24
9
false
24
9
false
24
9
-1
erdos
[(0, 2), (1, 4), (1, 5), (1, 9), (2, 10), (3, 4), (3, 5), (4, 5), (6, 7), (7, 8), (9, 10)]
11
11
true
2
7
2
7
6,8
1
3
false
1
3
true
1
3
2
erdos
[(0, 11), (0, 19), (0, 22), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 5), (3, 6), (4, 5), (4, 6), (4, 18), (5, 6), (6, 15), (6, 16), (6, 18), (7, 10), (7, 13), (8, 17), (9, 10), (11, 22), (12, 21), (14, 15), (14, 16), (14, 17), (15, 16), (15, 17), (16, 18), (19, 20), (19, 21), (19, 22), (21, 22)]
23
34
true
15
5
4
1
2,3,4,5,6
15
6
true
15
6
true
15
6
1
erdos
[(0, 1), (0, 6), (1, 3), (1, 8), (1, 9), (2, 3), (2, 6), (2, 8), (3, 5), (3, 8), (3, 9), (4, 5), (4, 11), (5, 9), (5, 11), (6, 7), (7, 8), (8, 9), (10, 11), (11, 12)]
13
20
true
7
4
2
12
11
11
7
false
11
7
true
11
7
4
erdos
[(0, 1), (1, 2), (2, 3), (3, 4), (5, 6), (6, 7), (7, 8), (9, 10), (10, 15), (11, 12), (11, 14), (12, 13), (15, 16), (16, 17)]
18
14
false
0
2
2
8
7
11
16
false
11
16
false
11
16
-1
erdos
[(0, 1), (1, 7), (1, 8), (1, 12), (1, 13), (1, 18), (1, 19), (1, 20), (2, 3), (2, 11), (3, 8), (3, 10), (3, 15), (3, 17), (3, 23), (4, 8), (4, 11), (4, 13), (4, 14), (4, 16), (5, 8), (5, 16), (5, 22), (6, 13), (7, 8), (7, 14), (8, 9), (8, 11), (8, 13), (8, 14), (8, 20), (8, 21), (8, 22), (10, 11), (11, 15), (11, 17), (11, 23), (13, 14), (13, 21), (13, 22)]
24
40
true
12
16
2
11
2,4,8,10,15,17,23
23
12
false
23
12
true
23
12
4
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (0, 10), (0, 11), (0, 12), (1, 2), (1, 3), (1, 5), (1, 6), (1, 7), (1, 8), (1, 12), (1, 20), (2, 3), (2, 4), (2, 5), (2, 6), (2, 10), (2, 11), (3, 4), (3, 5), (3, 6), (3, 10), (3, 11), (3, 20), (3, 23), (3, 24), (3, 26), (3, 27), (4, 7), (4, 8), (4, 9), (4, 10), (4, 11), (4, 14), (4, 23), (4, 24), (4, 27), (5, 6), (5, 7), (5, 8), (5, 12), (6, 20), (7, 8), (7, 9), (7, 10), (7, 12), (7, 13), (7, 14), (8, 9), (8, 10), (8, 12), (9, 10), (9, 14), (10, 11), (11, 23), (11, 24), (11, 27), (13, 14), (15, 18), (15, 19), (16, 18), (17, 19), (17, 21), (17, 22), (18, 19), (19, 21), (19, 22), (19, 25), (19, 28), (21, 22), (22, 25), (23, 24), (23, 26), (23, 27), (24, 26), (24, 27)]
29
84
true
111
6
6
17
19,21,22
20
16
false
20
16
false
20
16
-1
erdos
[(0, 1), (0, 2), (0, 8), (0, 15), (1, 2), (1, 5), (1, 6), (1, 7), (1, 9), (2, 5), (2, 6), (2, 8), (3, 4), (3, 7), (3, 17), (4, 6), (4, 9), (5, 6), (5, 9), (6, 9), (7, 10), (7, 11), (7, 12), (7, 16), (7, 17), (8, 11), (8, 15), (10, 11), (10, 12), (10, 16), (10, 17), (11, 12), (11, 13), (11, 16), (12, 13), (12, 16), (13, 14), (14, 19), (15, 18), (16, 17), (18, 20), (19, 21)]
22
42
true
26
11
6
18
15,20
6
0
false
6
0
true
6
0
2
erdos
[(0, 1), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (0, 11), (0, 14), (1, 2), (1, 3), (1, 5), (1, 7), (1, 10), (1, 11), (1, 14), (2, 7), (2, 8), (2, 9), (2, 12), (3, 5), (3, 7), (3, 8), (3, 13), (4, 5), (4, 10), (4, 14), (5, 6), (5, 7), (5, 8), (5, 11), (5, 12), (5, 13), (6, 7), (6, 11), (6, 12), (6, 13), (7, 12), (7, 13), (7, 14), (8, 11), (8, 12), (8, 13), (8, 14), (9, 13), (9, 14), (10, 11), (10, 14), (12, 14), (13, 14)]
15
49
true
46
9
4
5
0,1,3,4,6,7,8,11,12,13
5
0
true
5
0
true
5
0
1
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), (1, 6), (1, 7), (1, 8), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (4, 5), (4, 6), (4, 7), (4, 8), (5, 6), (5, 7), (5, 8), (6, 7), (6, 8), (7, 8)]
9
36
true
84
6
8
7
0,1,2,3,4,5,6,8
8
7
true
8
7
true
8
7
1
erdos
[(0, 2), (0, 3), (1, 7), (3, 4), (4, 5), (5, 6), (6, 7)]
8
7
false
0
6
2
7
1,6
3
0
true
3
0
true
3
0
1
erdos
[(0, 1), (0, 4), (1, 14), (2, 17), (3, 10), (3, 17), (4, 15), (5, 10), (5, 16), (6, 8), (6, 12), (7, 12), (7, 15), (9, 10), (9, 11), (9, 13), (10, 11), (10, 13), (10, 17), (13, 16)]
18
20
true
3
1
2
7
12,15
6
2
false
6
2
false
6
2
-1
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (1, 2), (2, 3), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6), (4, 5), (4, 7), (4, 8), (5, 6), (5, 8), (5, 16), (6, 16), (7, 8), (7, 15), (7, 17), (7, 18), (8, 11), (8, 14), (9, 10), (9, 11), (9, 13), (9, 14), (10, 11), (10, 12), (11, 12), (11, 14), (12, 22), (13, 14), (15, 17), (17, 18), (19, 20), (19, 21), (20, 22)]
23
40
true
21
4
5
6
2,3,5,16
13
16
false
13
16
true
13
16
4
erdos
[(0, 1), (0, 2), (0, 4), (0, 5), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (2, 5), (3, 4), (3, 5)]
6
12
true
9
1
4
4
0,1,2,3
4
3
true
4
3
true
4
3
1
erdos
[(0, 1), (0, 7), (1, 3), (1, 7), (2, 4), (2, 5), (3, 4), (5, 6)]
8
8
true
1
6
1
3
1,4
4
3
true
4
3
true
4
3
1
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, 13), (4, 14), (4, 19), (4, 20), (5, 6), (5, 16), (5, 17), (6, 16), (6, 17), (7, 13), (7, 29), (8, 10), (8, 18), (9, 20), (9, 28), (11, 12), (11, 32), (11, 33), (12, 15), (12, 23), (13, 14), (13, 29), (13, 32), (13, 33), (14, 19), (14, 33), (15, 23), (16, 17), (18, 24), (18, 28), (19, 27), (20, 25), (20, 27), (21, 29), (21, 30), (21, 31), (22, 23), (24, 28), (25, 26), (25, 27), (29, 30), (30, 31), (30, 32), (32, 33)]
34
64
true
30
32
4
19
4,14,27
18
33
false
18
33
true
18
33
5
erdos
[(0, 3), (1, 2), (1, 3), (2, 3), (2, 4)]
5
5
true
1
1
2
1
2,3
3
2
true
3
2
true
3
2
1
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 6), (1, 2), (1, 4), (1, 6), (2, 4), (3, 4), (4, 6), (5, 10), (5, 11), (5, 15), (6, 16), (7, 17), (7, 18), (7, 20), (7, 21), (8, 9), (8, 12), (8, 13), (8, 14), (9, 11), (9, 13), (9, 14), (9, 15), (10, 11), (11, 13), (11, 15), (13, 14), (13, 15), (17, 18), (17, 19), (17, 20), (18, 19), (19, 20)]
22
37
true
22
2
3
9
8,11,13,14,15
0
4
true
0
4
true
0
4
1
erdos
[(0, 1), (1, 2), (2, 4), (3, 4)]
5
4
false
0
4
2
0
1
1
2
true
1
2
true
1
2
1
erdos
[(0, 1), (0, 2), (0, 4), (1, 2), (1, 3), (2, 3)]
5
6
true
2
2
3
2
0,1,3
0
3
false
0
3
true
0
3
2
erdos
[(0, 1), (1, 2), (1, 3), (1, 4), (2, 4), (2, 6), (2, 7), (2, 8), (2, 11), (3, 4), (3, 6), (4, 6), (4, 7), (4, 10), (5, 9), (5, 10), (6, 7), (7, 8), (8, 17), (9, 10), (9, 18), (9, 19), (10, 11), (11, 17), (11, 18), (12, 13), (12, 14), (12, 15), (12, 16), (13, 14), (15, 16), (16, 17), (18, 19)]
20
33
true
12
4
6
12
13,14,15,16
1
4
true
1
4
true
1
4
1
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 8), (0, 9), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (2, 4), (2, 7), (2, 10), (2, 11), (3, 6), (4, 8), (4, 9), (4, 10), (4, 14), (4, 16), (4, 17), (5, 6), (5, 25), (6, 25), (7, 11), (7, 21), (8, 9), (8, 12), (8, 13), (8, 14), (8, 15), (9, 12), (9, 18), (10, 11), (10, 16), (11, 21), (12, 13), (12, 14), (12, 15), (12, 18), (13, 15), (13, 18), (14, 15), (14, 16), (14, 17), (14, 28), (15, 28), (16, 17), (16, 22), (17, 22), (17, 26), (17, 27), (19, 26), (20, 22), (20, 23), (20, 26), (20, 27), (21, 32), (22, 23), (22, 24), (22, 26), (22, 27), (23, 24), (23, 27), (26, 27), (29, 30), (29, 31), (30, 31), (30, 32), (31, 32)]
33
72
true
48
10
4
27
17,20,22,23,26
30
1
false
30
1
true
30
1
4
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (1, 2), (1, 4), (1, 9), (1, 13), (1, 14), (1, 15), (2, 9), (2, 13), (3, 4), (5, 6), (5, 10), (5, 12), (6, 10), (7, 8), (8, 11), (9, 13), (11, 15), (12, 14), (12, 15), (13, 15), (14, 15)]
16
25
true
11
6
2
14
1,12,15
3
5
false
3
5
true
3
5
5
erdos
[(0, 1), (0, 7), (2, 4), (2, 22), (3, 5), (5, 8), (6, 8), (9, 15), (9, 16), (10, 11), (10, 12), (10, 13), (10, 17), (14, 15), (14, 18), (19, 20), (20, 21)]
23
17
false
0
13
1
22
2
13
10
true
13
10
true
13
10
1
erdos
[(0, 1), (0, 6), (0, 7), (0, 8), (0, 9), (0, 10), (0, 11), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (1, 11), (2, 3), (2, 4), (2, 5), (2, 18), (3, 4), (3, 5), (3, 18), (4, 5), (4, 18), (5, 18), (6, 7), (6, 8), (6, 9), (6, 10), (6, 11), (6, 12), (7, 8), (7, 9), (7, 10), (7, 11), (7, 12), (8, 9), (8, 10), (8, 11), (8, 12), (9, 10), (9, 11), (9, 12), (10, 11), (10, 12), (11, 12), (13, 14), (13, 15), (13, 16), (13, 17), (13, 19), (13, 20), (13, 21), (13, 22), (14, 15), (14, 16), (14, 17), (14, 19), (14, 20), (14, 21), (14, 22), (15, 16), (15, 17), (15, 19), (15, 20), (15, 21), (15, 22), (16, 17), (16, 19), (16, 20), (16, 21), (16, 22), (17, 19), (17, 20), (17, 21), (17, 22), (19, 20), (19, 21), (19, 22), (20, 21), (20, 22), (21, 22)]
23
80
true
165
0
7
0
1,6,7,8,9,10,11
10
0
true
10
0
true
10
0
1
erdos
[(0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 6), (2, 14), (2, 18), (2, 21), (3, 5), (3, 6), (3, 18), (3, 21), (4, 5), (4, 12), (4, 13), (6, 14), (6, 18), (6, 21), (7, 8), (7, 9), (7, 10), (7, 11), (8, 9), (8, 10), (9, 10), (9, 11), (12, 13), (13, 23), (13, 24), (14, 16), (14, 17), (14, 18), (15, 22), (15, 27), (16, 17), (16, 18), (16, 19), (17, 18), (17, 19), (17, 21), (18, 21), (20, 22), (23, 24), (25, 26), (25, 27), (26, 27)]
28
51
true
35
14
5
0
1,2,3
22
24
false
22
24
false
22
24
-1
erdos
[(0, 1), (0, 6), (0, 8), (0, 10), (1, 6), (1, 8), (1, 10), (2, 4), (2, 5), (2, 19), (3, 11), (3, 18), (3, 21), (3, 24), (4, 5), (4, 19), (5, 19), (5, 20), (6, 8), (7, 15), (7, 22), (8, 11), (9, 12), (9, 13), (9, 14), (9, 16), (11, 18), (11, 21), (12, 13), (12, 14), (12, 16), (12, 23), (13, 14), (13, 16), (13, 23), (14, 16), (14, 23), (15, 23), (16, 23), (17, 20), (18, 21), (19, 20)]
25
42
true
30
22
1
20
5,17,19
1
14
false
1
14
false
1
14
-1
erdos
[(0, 1), (0, 10), (0, 12), (0, 15), (1, 10), (1, 12), (1, 15), (2, 6), (2, 11), (3, 5), (3, 8), (4, 7), (4, 9), (4, 13), (4, 14), (7, 13), (7, 14), (8, 11), (9, 10), (9, 13), (9, 14), (9, 15), (10, 12), (10, 15), (12, 15), (13, 14)]
16
26
true
18
5
1
1
0,10,12,15
12
2
false
12
2
false
12
2
-1
erdos
[(0, 2), (0, 5), (0, 6), (0, 8), (1, 2), (1, 9), (2, 7), (2, 8), (3, 4), (5, 6), (7, 9)]
10
11
true
2
7
2
8
0,2
1
7
false
1
7
true
1
7
2
erdos
[(0, 1), (1, 4), (2, 4), (2, 5), (3, 8), (3, 9), (5, 6), (6, 7), (8, 9)]
10
9
true
1
4
2
6
5,7
2
5
true
2
5
true
2
5
1
erdos
[(0, 1), (0, 3), (0, 4), (1, 3), (1, 4), (2, 4), (2, 5), (2, 7), (3, 8), (5, 7), (6, 8)]
9
11
true
3
6
1
2
4,5,7
1
3
true
1
3
true
1
3
1
erdos
[(0, 3), (0, 6), (0, 8), (1, 7), (1, 10), (1, 15), (2, 3), (2, 10), (3, 9), (4, 5), (4, 11), (5, 11), (5, 12), (6, 13), (6, 14), (7, 10), (8, 13), (9, 11), (9, 12), (11, 12), (13, 14)]
16
21
true
5
3
3
4
5,11
9
1
false
9
1
true
9
1
4
erdos
[(0, 1), (0, 2), (1, 2), (3, 9), (3, 13), (3, 14), (3, 19), (4, 12), (4, 17), (4, 18), (5, 6), (6, 9), (7, 8), (7, 10), (8, 10), (9, 19), (10, 11), (12, 17), (12, 18), (13, 14), (13, 19), (14, 19), (15, 16), (15, 19), (17, 18)]
20
25
true
11
18
3
5
6
15
2
false
15
2
false
15
2
-1
erdos
[(0, 12), (0, 14), (1, 21), (1, 25), (1, 26), (1, 28), (2, 14), (2, 23), (2, 29), (3, 4), (3, 9), (3, 25), (4, 17), (4, 25), (5, 11), (5, 16), (6, 8), (6, 10), (6, 13), (7, 20), (7, 24), (8, 10), (8, 13), (8, 22), (9, 17), (9, 25), (9, 28), (10, 13), (10, 27), (11, 12), (11, 16), (13, 18), (13, 22), (13, 27), (14, 19), (14, 23), (14, 29), (15, 17), (15, 21), (15, 28), (17, 21), (17, 28), (18, 24), (18, 27), (19, 29), (20, 24), (21, 28), (23, 29), (25, 26)]
30
49
true
23
17
5
27
10,13,18
4
18
false
4
18
false
4
18
-1
erdos
[(0, 4), (0, 6), (0, 8), (0, 9), (1, 4), (1, 5), (1, 6), (1, 9), (1, 10), (1, 11), (2, 4), (2, 5), (2, 7), (2, 10), (2, 11), (3, 4), (3, 5), (3, 6), (3, 7), (3, 9), (3, 10)]
12
21
true
0
1
6
7
2,3
4
0
true
4
0
true
4
0
1
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 6), (0, 8), (1, 2), (1, 3), (1, 4), (1, 6), (1, 8), (2, 3), (2, 4), (2, 6), (2, 8), (3, 4), (3, 6), (3, 8), (4, 6), (4, 8), (5, 7), (5, 9), (6, 8), (7, 9)]
10
24
true
36
0
6
8
0,1,2,3,4,6
7
5
true
7
5
true
7
5
1
erdos
[(0, 3), (0, 4), (1, 4), (1, 6), (2, 5), (2, 6)]
7
6
false
0
5
1
4
0,1
6
2
true
6
2
true
6
2
1
erdos
[(0, 1), (0, 2), (0, 4), (0, 7), (0, 8), (0, 9), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 4), (2, 9), (2, 10), (3, 4), (3, 6), (3, 10), (3, 11), (3, 12), (3, 13), (4, 5), (4, 6), (4, 10), (5, 7), (5, 12), (5, 18), (5, 19), (6, 7), (6, 10), (6, 11), (6, 12), (6, 13), (7, 12), (7, 18), (7, 19), (7, 20), (7, 21), (8, 9), (8, 27), (9, 27), (10, 12), (11, 12), (11, 13), (11, 24), (11, 25), (12, 13), (12, 25), (13, 24), (13, 25), (13, 26), (14, 15), (14, 16), (14, 17), (15, 16), (16, 17), (17, 23), (18, 19), (20, 21), (20, 30), (21, 30), (22, 30), (24, 25), (24, 26), (25, 26), (27, 28), (28, 29), (28, 31), (29, 31)]
32
69
true
51
30
3
19
5,7,18
21
14
false
21
14
false
21
14
-1
erdos
[(0, 1), (0, 2), (2, 3), (4, 5), (5, 6), (6, 7)]
8
6
false
0
1
1
0
1,2
6
0
false
6
0
false
6
0
-1
erdos
[(0, 1), (0, 4), (0, 6), (1, 7), (2, 9), (3, 6), (3, 8), (4, 7), (4, 11), (5, 10), (6, 8), (9, 11)]
12
12
true
1
11
2
5
10
2
3
false
2
3
true
2
3
6
erdos
[(0, 3), (0, 7), (0, 8), (0, 9), (0, 10), (0, 13), (0, 15), (0, 17), (0, 18), (1, 22), (1, 25), (1, 28), (1, 29), (1, 30), (1, 31), (2, 24), (3, 7), (3, 8), (3, 9), (3, 10), (3, 13), (3, 15), (3, 17), (3, 18), (4, 5), (4, 11), (4, 12), (4, 26), (5, 11), (5, 26), (6, 28), (6, 29), (7, 8), (7, 9), (7, 10), (8, 9), (8, 10), (8, 13), (9, 10), (9, 13), (12, 14), (14, 27), (15, 17), (15, 18), (16, 19), (16, 21), (16, 23), (16, 24), (17, 18), (20, 27), (21, 23), (21, 24), (22, 25), (22, 29), (22, 30), (22, 31), (22, 32), (23, 24), (25, 29), (25, 30), (25, 31), (25, 32), (28, 29), (28, 31), (29, 30), (29, 31), (29, 32), (30, 31), (30, 32), (31, 32)]
33
70
true
76
15
4
26
4,5
25
11
false
25
11
false
25
11
-1
erdos
[(0, 2), (0, 3), (1, 2), (1, 3)]
4
4
true
0
2
2
2
0,1
1
3
true
1
3
true
1
3
1
erdos
[(0, 1), (0, 7), (1, 3), (1, 4), (1, 5), (2, 6), (2, 8), (2, 13), (3, 4), (3, 5), (3, 9), (3, 10), (4, 5), (4, 11), (4, 12), (5, 12), (6, 8), (6, 12), (8, 13), (8, 15), (8, 16), (9, 10), (10, 15), (11, 12), (11, 17), (12, 14), (12, 17), (13, 16), (14, 17)]
18
29
true
12
7
1
17
11,12,14
12
13
false
12
13
true
12
13
3
erdos
[(0, 1), (1, 2), (1, 6), (2, 3), (3, 4), (3, 5), (4, 5)]
7
7
true
1
1
3
0
1
6
3
false
6
3
true
6
3
3
erdos
[(0, 2), (0, 8), (1, 4), (1, 5), (1, 6), (2, 5), (2, 8), (3, 4), (4, 5), (4, 7), (5, 7), (8, 9), (9, 10)]
11
13
true
3
0
2
8
0,2,9
3
2
false
3
2
true
3
2
3
erdos
[(0, 1), (2, 29), (3, 12), (3, 15), (4, 9), (4, 10), (5, 24), (5, 25), (6, 26), (7, 8), (9, 17), (11, 21), (11, 22), (11, 28), (11, 29), (13, 27), (14, 24), (15, 28), (16, 28), (16, 29), (17, 18), (19, 20), (19, 26), (21, 22), (21, 28), (22, 23), (22, 28), (24, 25), (24, 30), (25, 30), (28, 29)]
31
31
true
8
6
1
15
3,28
26
16
false
26
16
false
26
16
-1
erdos
[(0, 1), (0, 2), (0, 3), (1, 2), (2, 3), (2, 4), (2, 5), (3, 15), (3, 18), (4, 5), (4, 24), (4, 25), (4, 26), (5, 24), (5, 25), (5, 26), (6, 7), (6, 8), (6, 9), (6, 10), (9, 10), (9, 21), (9, 22), (10, 22), (11, 12), (12, 21), (13, 14), (13, 19), (14, 23), (15, 16), (15, 17), (15, 18), (16, 18), (16, 19), (17, 20), (18, 19), (20, 27), (24, 25), (24, 26), (25, 26), (25, 27)]
28
41
true
18
3
4
13
14,19
8
14
false
8
14
false
8
14
-1
erdos
[(0, 5), (1, 13), (2, 4), (2, 6), (2, 8), (2, 9), (2, 11), (3, 13), (3, 14), (4, 5), (4, 6), (4, 8), (4, 11), (5, 6), (6, 7), (6, 8), (6, 9), (6, 11), (6, 12), (7, 8), (8, 9), (8, 10), (8, 11), (9, 11), (10, 14)]
15
25
true
18
2
5
13
1,3
13
10
false
13
10
true
13
10
3
erdos
[(0, 1), (0, 4), (1, 2), (1, 3), (2, 5), (2, 6), (2, 7), (3, 4), (3, 7), (4, 13), (5, 6), (5, 29), (5, 31), (6, 22), (6, 24), (7, 24), (8, 9), (9, 10), (11, 18), (11, 19), (11, 22), (11, 24), (12, 16), (13, 14), (13, 15), (14, 16), (17, 18), (17, 19), (17, 20), (17, 21), (18, 19), (18, 22), (18, 23), (19, 20), (19, 24), (19, 26), (20, 21), (20, 26), (21, 26), (21, 27), (22, 23), (25, 26), (25, 27), (26, 27), (28, 29), (28, 30), (29, 30), (29, 31), (29, 32), (30, 31)]
33
50
true
15
25
2
6
2,5,22,24
7
17
false
7
17
true
7
17
3
erdos
[(0, 7), (0, 10), (0, 14), (0, 28), (1, 4), (1, 17), (2, 4), (2, 6), (2, 8), (2, 16), (3, 14), (3, 23), (4, 5), (4, 24), (4, 31), (4, 32), (5, 9), (5, 11), (5, 26), (5, 31), (6, 15), (7, 10), (7, 21), (7, 23), (7, 29), (8, 22), (8, 30), (8, 33), (9, 10), (9, 11), (9, 16), (9, 18), (9, 22), (9, 29), (10, 24), (10, 27), (11, 25), (11, 32), (12, 13), (12, 22), (12, 33), (13, 20), (13, 29), (14, 22), (15, 17), (15, 33), (18, 23), (18, 24), (19, 24), (19, 29), (20, 21), (21, 24), (21, 29), (21, 31), (21, 33), (22, 25), (23, 30), (25, 26), (26, 29), (27, 30), (28, 33)]
34
61
true
4
19
2
9
5,10,11,16,18,22,29
3
2
false
3
2
true
3
2
4