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, 9), (0, 10), (0, 11), (0, 12), (0, 15), (0, 18), (1, 9), (1, 10), (1, 11), (1, 12), (1, 13), (1, 14), (1, 15), (1, 16), (1, 18), (2, 9), (2, 10), (2, 11), (2, 12), (2, 13), (2, 14), (2, 16), (2, 17), (3, 9), (3, 10), (3, 16), (3, 17), (3, 18), (4, 9), (4, 10), (4, 11), (4, 12), (4, 14), (4, 17), (4, 18), (5, 9), (5, 11), (5, 12), (5, 13), (5, 14), (5, 15), (5, 16), (6, 9), (6, 12), (6, 16), (6, 18), (7, 9), (7, 10), (7, 14), (7, 16), (7, 17), (7, 18), (8, 9), (8, 10), (8, 11), (8, 12), (8, 13), (8, 15), (8, 16), (8, 18)]
19
60
true
0
13
4
9
0,1,2,3,4,5,6,7,8
4
18
true
4
18
true
4
18
1
erdos
[(0, 3), (1, 2), (2, 3), (4, 5)]
6
4
false
0
5
1
2
1,3
4
0
false
4
0
false
4
0
-1
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 7), (0, 9), (0, 10), (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, 11), (3, 5), (3, 11), (4, 7), (4, 9), (5, 6), (5, 11), (5, 14), (5, 19), (6, 11), (6, 14), (6, 17), (6, 19), (6, 20), (7, 8), (7, 9), (8, 9), (8, 10), (8, 31), (9, 10), (9, 31), (10, 24), (10, 31), (10, 32), (11, 12), (11, 13), (11, 14), (11, 15), (12, 13), (12, 14), (12, 17), (13, 14), (13, 15), (13, 16), (15, 16), (17, 20), (17, 22), (17, 30), (18, 29), (19, 20), (19, 21), (19, 22), (19, 23), (20, 21), (20, 22), (20, 25), (20, 28), (21, 22), (21, 23), (23, 26), (24, 26), (24, 32), (25, 27), (27, 28), (27, 29), (28, 30), (31, 32)]
33
76
true
54
19
6
21
19,20,22,23
6
0
false
6
0
true
6
0
2
erdos
[(0, 1), (1, 11), (2, 7), (2, 8), (3, 6), (3, 9), (4, 10), (4, 11), (4, 12), (5, 8), (6, 13), (9, 10), (9, 11), (10, 11), (10, 12), (11, 12)]
14
16
true
5
3
2
11
1,4,9,10,12
10
8
false
10
8
false
10
8
-1
erdos
[(0, 1), (0, 2), (1, 2), (1, 4), (2, 5), (3, 5), (3, 10), (4, 6), (4, 9), (6, 8), (6, 9), (7, 9), (8, 9)]
11
13
true
3
6
3
8
6,9
2
6
false
2
6
true
2
6
3
erdos
[(0, 1), (0, 2), (1, 2), (1, 29), (1, 30), (1, 31), (2, 31), (3, 14), (3, 21), (4, 5), (4, 6), (4, 10), (4, 11), (5, 6), (5, 7), (5, 8), (5, 9), (6, 8), (7, 8), (7, 9), (7, 22), (7, 23), (7, 24), (7, 25), (7, 26), (7, 27), (8, 9), (8, 26), (8, 27), (9, 26), (9, 27), (10, 11), (10, 13), (11, 12), (11, 13), (14, 20), (15, 16), (15, 17), (15, 18), (15, 20), (16, 17), (16, 18), (16, 19), (18, 20), (22, 23), (22, 24), (22, 25), (23, 24), (23, 25), (23, 26), (24, 25), (24, 26), (25, 26), (25, 27), (26, 27), (28, 29), (28, 30), (28, 31), (29, 30), (29, 31), (30, 31)]
32
61
true
47
19
1
7
5,8,9,22,23,24,25,26,27
28
17
false
28
17
false
28
17
-1
erdos
[(0, 1), (0, 3), (0, 4), (0, 5), (1, 2), (1, 3), (1, 5), (2, 5), (3, 4), (3, 5), (4, 5)]
6
11
true
8
0
4
1
0,2,3,5
2
3
false
2
3
true
2
3
2
erdos
[(0, 16), (1, 3), (1, 4), (1, 12), (1, 13), (1, 14), (1, 17), (1, 18), (2, 3), (2, 7), (2, 13), (2, 16), (2, 18), (2, 19), (3, 4), (3, 6), (3, 7), (3, 8), (3, 9), (3, 11), (3, 12), (3, 14), (3, 16), (3, 19), (3, 20), (4, 19), (4, 22), (5, 17), (5, 18), (6, 7), (6, 11), (6, 13), (6, 17), (6, 20), (7, 8), (7, 11), (7, 12), (7, 13), (7, 17), (7, 19), (8, 13), (8, 19), (8, 20), (9, 10), (9, 13), (9, 19), (9, 22), (10, 14), (11, 12), (11, 13), (11, 16), (11, 17), (11, 19), (12, 13), (12, 16), (12, 17), (12, 19), (13, 14), (13, 16), (14, 17), (14, 19), (15, 19), (15, 20), (16, 17), (16, 19), (17, 18), (17, 19), (18, 21), (19, 21)]
23
69
true
63
14
6
21
18,19
14
20
false
14
20
true
14
20
2
erdos
[(0, 1), (1, 2), (2, 5), (3, 4), (4, 11), (4, 12), (5, 7), (6, 16), (6, 17), (6, 18), (7, 8), (7, 9), (8, 9), (9, 10), (11, 12), (13, 14), (13, 19), (14, 19), (15, 16), (16, 17), (16, 19), (17, 18), (17, 19), (18, 19)]
20
24
true
7
10
1
13
14,19
4
7
false
4
7
false
4
7
-1
erdos
[(0, 5), (1, 9), (2, 13), (3, 10), (3, 13), (3, 14), (4, 5), (5, 6), (5, 7), (5, 12), (8, 11), (8, 16), (11, 14), (15, 16)]
17
14
false
0
16
2
3
10,13,14
10
13
false
10
13
true
10
13
2
erdos
[(0, 12), (0, 25), (1, 2), (1, 3), (2, 17), (3, 10), (3, 24), (3, 25), (4, 11), (4, 19), (5, 6), (5, 17), (6, 13), (7, 9), (7, 25), (8, 23), (9, 18), (10, 15), (10, 22), (11, 20), (12, 28), (13, 27), (14, 21), (14, 25), (14, 26), (16, 19), (18, 27), (20, 21), (20, 23), (21, 22), (22, 23), (23, 26), (24, 26)]
29
33
true
0
16
1
23
8,20,22,26
1
10
false
1
10
true
1
10
2
erdos
[(0, 10), (1, 10), (2, 17), (3, 10), (3, 12), (4, 10), (4, 12), (5, 10), (6, 21), (7, 8), (7, 9), (7, 24), (8, 9), (8, 17), (8, 20), (8, 25), (9, 11), (9, 20), (9, 21), (9, 24), (9, 27), (10, 11), (10, 12), (11, 12), (11, 14), (11, 16), (11, 23), (13, 22), (15, 18), (15, 19), (15, 22), (17, 31), (20, 28), (20, 30), (21, 25), (21, 27), (25, 26), (25, 27), (25, 32), (27, 29)]
33
40
true
8
23
1
4
10,12
20
10
false
20
10
true
20
10
3
erdos
[(0, 1), (1, 3), (2, 7), (3, 5), (4, 7), (5, 6), (6, 8), (6, 9), (8, 9), (8, 10), (9, 10)]
11
11
true
2
2
1
7
2,4
2
10
false
2
10
false
2
10
-1
erdos
[(0, 1), (1, 2), (1, 3), (4, 5), (4, 7), (4, 9), (5, 6), (5, 27), (7, 8), (10, 11), (10, 12), (10, 20), (11, 13), (11, 21), (13, 19), (14, 15), (14, 22), (14, 24), (16, 17), (18, 23), (22, 23), (24, 25), (25, 26)]
28
23
false
0
27
1
16
17
12
10
true
12
10
true
12
10
1
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)]
5
10
true
10
3
4
2
0,1,3,4
4
2
true
4
2
true
4
2
1
erdos
[(0, 2), (0, 12), (0, 17), (1, 2), (1, 5), (1, 10), (1, 13), (1, 17), (2, 5), (2, 14), (3, 5), (3, 10), (3, 16), (4, 6), (4, 16), (6, 8), (7, 10), (7, 17), (8, 9), (11, 12), (13, 14), (13, 15), (15, 17)]
18
23
true
1
12
2
17
0,1,7,15
5
14
false
5
14
true
5
14
2
erdos
[(0, 2), (0, 6), (0, 7), (0, 8), (0, 12), (1, 3), (1, 5), (1, 6), (1, 10), (2, 3), (2, 7), (2, 12), (3, 6), (3, 8), (3, 11), (4, 6), (4, 11), (4, 12), (5, 8), (5, 10), (6, 9), (6, 10), (7, 8), (7, 9), (7, 10), (7, 11), (7, 12), (8, 9), (8, 12), (9, 11)]
13
30
true
12
5
3
1
3,5,6,10
12
8
true
12
8
true
12
8
1
erdos
[(0, 3), (0, 4), (1, 2), (1, 3), (2, 5), (3, 4)]
6
6
true
1
0
2
4
0,3
0
2
false
0
2
true
0
2
3
erdos
[(0, 1), (0, 5), (1, 2), (1, 3), (1, 4), (2, 3), (2, 6), (3, 4), (3, 6), (4, 6), (4, 7), (6, 7), (7, 14), (8, 9), (8, 10), (8, 13), (11, 12), (11, 13)]
15
18
true
5
2
3
1
0,2,3,4
13
5
false
13
5
false
13
5
-1
erdos
[(0, 1), (0, 4), (0, 19), (1, 5), (2, 3), (3, 8), (4, 5), (5, 6), (7, 11), (8, 9), (9, 10), (10, 12), (11, 13), (12, 16), (13, 14), (13, 17), (14, 15), (14, 18), (17, 18)]
20
19
true
0
7
1
19
0
7
19
false
7
19
false
7
19
-1
erdos
[(0, 1), (0, 2), (1, 3), (2, 6), (2, 21), (3, 14), (4, 5), (4, 7), (5, 6), (6, 7), (6, 8), (7, 8), (8, 18), (9, 12), (10, 11), (10, 20), (10, 22), (11, 22), (12, 13), (13, 14), (13, 15), (14, 15), (14, 16), (17, 18), (19, 20), (19, 21)]
23
26
true
3
20
2
11
10,22
5
12
false
5
12
true
5
12
8
erdos
[(0, 1), (0, 2), (1, 2), (1, 10), (2, 10), (3, 13), (4, 19), (5, 6), (5, 25), (6, 24), (7, 8), (8, 16), (8, 25), (9, 12), (9, 19), (10, 18), (11, 12), (11, 18), (12, 18), (13, 23), (14, 21), (15, 21), (15, 23), (16, 20), (17, 20), (17, 22), (22, 24)]
26
27
true
3
19
2
0
1,2
15
3
false
15
3
true
15
3
3
erdos
[(0, 3), (1, 2), (1, 11), (2, 6), (3, 4), (4, 6), (4, 8), (5, 6), (5, 8), (6, 11), (7, 8), (8, 9), (8, 10)]
12
13
true
0
10
1
2
1,6
1
6
false
1
6
true
1
6
2
erdos
[(0, 3), (0, 5), (0, 6), (0, 7), (0, 8), (1, 2), (1, 4), (4, 10), (4, 12), (4, 13), (4, 14), (9, 10), (9, 12), (9, 13), (9, 14), (10, 12), (10, 13), (10, 14), (11, 16), (11, 17), (12, 13), (12, 14), (13, 14), (15, 17), (17, 18)]
19
25
true
16
1
2
15
17
7
13
false
7
13
false
7
13
-1
erdos
[(0, 1), (0, 2), (1, 2), (3, 4), (5, 9), (6, 8), (7, 8), (7, 9)]
10
8
true
1
4
1
3
4
5
4
false
5
4
false
5
4
-1
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)]
5
10
true
10
0
4
0
1,2,3,4
3
1
true
3
1
true
3
1
1
erdos
[(0, 1), (0, 3), (1, 3), (1, 4), (1, 9), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (3, 4), (3, 9), (4, 5), (4, 6), (4, 7), (4, 9), (5, 6), (5, 7), (5, 8), (5, 9), (6, 8), (7, 8)]
10
22
true
18
1
4
4
1,2,3,5,6,7,9
7
4
true
7
4
true
7
4
1
erdos
[(0, 1), (0, 3), (0, 4), (0, 5), (0, 6), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (2, 7), (3, 4), (3, 5), (4, 5), (4, 8), (4, 9), (4, 10), (5, 6), (7, 8), (7, 21), (8, 9), (8, 10), (8, 21), (8, 22), (8, 23), (9, 10), (9, 21), (9, 22), (9, 23), (9, 26), (9, 27), (9, 28), (10, 16), (10, 18), (10, 23), (10, 26), (10, 27), (11, 12), (11, 13), (11, 14), (12, 13), (13, 14), (13, 20), (15, 17), (15, 19), (16, 18), (16, 20), (17, 18), (17, 19), (18, 19), (18, 23), (19, 23), (21, 22), (21, 23), (21, 24), (22, 23), (22, 25), (23, 24), (23, 25), (24, 25), (26, 27), (26, 29), (27, 28)]
30
63
true
43
0
5
5
0,3,4,6
19
20
false
19
20
true
19
20
3
erdos
[(0, 1), (0, 2), (0, 6), (0, 7), (0, 10), (0, 11), (0, 12), (0, 13), (0, 14), (0, 15), (0, 16), (0, 18), (0, 19), (0, 20), (0, 21), (0, 22), (0, 23), (0, 25), (0, 26), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 9), (1, 10), (1, 12), (1, 14), (1, 16), (1, 17), (1, 18), (1, 19), (1, 21), (1, 22), (1, 23), (1, 25), (1, 26), (1, 27), (2, 3), (2, 5), (2, 6), (2, 8), (2, 9), (2, 10), (2, 11), (2, 12), (2, 15), (2, 16), (2, 17), (2, 18), (2, 19), (2, 20), (2, 21), (2, 22), (2, 23), (2, 25), (2, 26), (2, 28), (3, 6), (3, 8), (3, 9), (3, 10), (3, 12), (3, 13), (3, 15), (3, 18), (3, 20), (3, 21), (3, 22), (3, 25), (3, 27), (3, 28), (4, 5), (4, 6), (4, 9), (4, 10), (4, 11), (4, 13), (4, 14), (4, 15), (4, 16), (4, 17), (4, 18), (4, 19), (4, 22), (4, 23), (4, 24), (4, 26), (4, 27), (4, 28), (5, 7), (5, 8), (5, 9), (5, 11), (5, 13), (5, 14), (5, 15), (5, 16), (5, 20), (5, 23), (5, 26), (5, 27), (6, 7), (6, 8), (6, 9), (6, 11), (6, 12), (6, 13), (6, 14), (6, 15), (6, 17), (6, 18), (6, 20), (6, 23), (6, 24), (6, 25), (6, 26), (6, 27), (6, 28), (7, 8), (7, 10), (7, 12), (7, 13), (7, 14), (7, 15), (7, 16), (7, 17), (7, 19), (7, 20), (7, 21), (7, 22), (7, 23), (7, 24), (7, 25), (7, 26), (7, 27), (8, 9), (8, 10), (8, 11), (8, 12), (8, 15), (8, 16), (8, 18), (8, 19), (8, 23), (8, 25), (8, 27), (8, 28), (9, 11), (9, 12), (9, 13), (9, 14), (9, 15), (9, 16), (9, 17), (9, 18), (9, 19), (9, 21), (9, 23), (9, 24), (9, 27), (10, 11), (10, 16), (10, 17), (10, 18), (10, 19), (10, 22), (10, 23), (10, 24), (10, 25), (10, 26), (10, 27), (10, 28), (11, 13), (11, 14), (11, 15), (11, 16), (11, 18), (11, 19), (11, 20), (11, 24), (11, 26), (12, 13), (12, 14), (12, 15), (12, 17), (12, 19), (12, 21), (12, 22), (12, 23), (12, 24), (12, 25), (12, 26), (12, 27), (12, 28), (13, 15), (13, 16), (13, 17), (13, 18), (13, 19), (13, 21), (13, 22), (13, 23), (13, 24), (13, 26), (13, 27), (13, 28), (14, 15), (14, 16), (14, 17), (14, 18), (14, 20), (14, 22), (14, 23), (14, 24), (14, 25), (14, 26), (14, 27), (15, 16), (15, 17), (15, 18), (15, 19), (15, 20), (15, 21), (15, 22), (15, 24), (15, 25), (15, 26), (16, 18), (16, 19), (16, 20), (16, 21), (16, 22), (16, 23), (16, 27), (16, 28), (17, 23), (17, 24), (17, 27), (18, 19), (18, 20), (18, 21), (18, 22), (18, 25), (18, 26), (18, 27), (18, 28), (19, 21), (19, 22), (19, 24), (19, 25), (19, 26), (19, 27), (19, 28), (20, 21), (20, 22), (20, 23), (20, 25), (20, 26), (20, 27), (20, 28), (21, 22), (21, 23), (21, 24), (21, 25), (21, 26), (21, 27), (22, 23), (22, 24), (22, 25), (22, 26), (22, 28), (23, 24), (23, 25), (23, 26), (23, 27), (23, 28), (24, 25), (24, 26), (24, 27), (24, 28), (25, 26), (25, 27), (26, 28)]
29
284
true
1,252
12
21
5
1,2,4,7,8,9,11,13,14,15,16,20,23,26,27
24
14
true
24
14
true
24
14
1
erdos
[(0, 1), (1, 5), (2, 13), (2, 15), (2, 16), (3, 5), (3, 6), (4, 7), (4, 10), (4, 20), (6, 9), (8, 17), (8, 18), (9, 17), (11, 12), (11, 13), (11, 14), (11, 15), (11, 16), (11, 19), (12, 13), (12, 14), (12, 16), (12, 19), (13, 14), (13, 15), (13, 16), (13, 19), (14, 16), (14, 19), (15, 16), (15, 19), (16, 19)]
21
33
true
29
12
5
4
7,10,20
5
14
false
5
14
false
5
14
-1
erdos
[(0, 1), (0, 2), (0, 4), (0, 5), (0, 6), (0, 8), (0, 9), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 5), (2, 10), (2, 11), (3, 5), (3, 10), (3, 11), (3, 12), (4, 5), (4, 6), (4, 9), (5, 10), (5, 11), (7, 8), (7, 14), (7, 15), (8, 14), (8, 15), (9, 16), (10, 11), (10, 12), (11, 12), (13, 14), (13, 15), (14, 15)]
17
37
true
31
3
6
10
2,3,5,11,12
1
6
true
1
6
true
1
6
1
erdos
[(0, 4), (1, 3), (1, 5), (1, 6), (2, 3), (2, 6), (4, 5)]
7
7
true
0
1
3
3
1,2
5
2
false
5
2
true
5
2
3
erdos
[(0, 14), (0, 15), (1, 14), (1, 15), (1, 16), (2, 14), (2, 16), (3, 14), (3, 15), (3, 16), (4, 14), (5, 14), (5, 16), (6, 14), (6, 15), (7, 14), (8, 14), (8, 16), (9, 14), (9, 15), (10, 14), (10, 15), (10, 16), (11, 14), (11, 16), (12, 14), (12, 16), (13, 14), (13, 15)]
17
29
true
0
9
2
0
14,15
3
15
true
3
15
true
3
15
1
erdos
[(0, 24), (0, 25), (1, 3), (2, 7), (2, 13), (2, 14), (2, 20), (2, 23), (2, 24), (3, 30), (3, 32), (4, 19), (4, 20), (4, 23), (5, 21), (5, 33), (6, 7), (6, 8), (6, 12), (6, 15), (6, 30), (7, 32), (8, 12), (8, 14), (9, 31), (10, 17), (11, 27), (11, 29), (11, 31), (13, 14), (14, 15), (14, 30), (15, 22), (16, 25), (16, 26), (17, 28), (18, 20), (18, 28), (20, 23), (20, 24), (21, 22), (25, 26), (27, 29)]
34
43
true
7
31
2
1
3
10
27
false
10
27
false
10
27
-1
erdos
[(0, 1), (0, 10), (0, 16), (1, 10), (2, 3), (2, 13), (3, 12), (3, 13), (4, 5), (4, 17), (5, 6), (6, 9), (7, 15), (7, 16), (8, 14), (9, 11), (12, 17)]
18
17
true
2
14
1
13
2,3
3
15
false
3
15
false
3
15
-1
erdos
[(0, 1), (0, 2), (0, 3), (0, 5), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (2, 6), (3, 4), (3, 5), (4, 5), (4, 6), (6, 12), (7, 8), (7, 9), (7, 10), (7, 11), (8, 9), (8, 10), (9, 10), (9, 11), (10, 11)]
13
24
true
17
3
5
7
8,9,10,11
7
5
false
7
5
false
7
5
-1
erdos
[(0, 3), (0, 6), (1, 5), (2, 4), (2, 5), (4, 5), (4, 6)]
7
7
true
1
0
2
2
4,5
1
6
false
1
6
true
1
6
3
erdos
[(0, 1), (0, 2), (0, 3), (0, 8), (0, 9), (1, 2), (1, 3), (1, 5), (2, 8), (2, 9), (3, 5), (3, 6), (3, 7), (4, 5), (4, 6), (4, 7), (5, 6), (5, 7), (6, 7), (8, 9), (8, 11), (10, 11), (10, 26), (11, 19), (12, 13), (12, 14), (12, 15), (12, 16), (12, 17), (13, 14), (13, 15), (13, 16), (13, 17), (13, 18), (14, 16), (14, 17), (14, 19), (14, 20), (15, 16), (15, 18), (16, 17), (16, 18), (17, 20), (19, 20), (21, 22), (21, 23), (21, 24), (22, 23), (23, 24), (23, 25), (24, 25), (24, 26), (25, 26)]
27
53
true
36
18
3
17
12,13,14,16,20
25
5
false
25
5
true
25
5
7
erdos
[(0, 1), (0, 2), (1, 2), (1, 3), (1, 4), (1, 5), (2, 5), (3, 4), (3, 5), (4, 5)]
6
10
true
6
1
5
5
1,2,3,4
2
5
true
2
5
true
2
5
1
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 10), (0, 16), (1, 2), (1, 3), (1, 4), (1, 5), (1, 10), (1, 15), (1, 16), (2, 3), (2, 4), (2, 5), (2, 10), (2, 16), (3, 4), (3, 5), (3, 10), (3, 15), (3, 16), (4, 5), (4, 15), (5, 15), (6, 7), (6, 8), (7, 11), (7, 12), (8, 9), (11, 12), (11, 13), (11, 14), (12, 13), (12, 14), (13, 14), (15, 16)]
17
39
true
45
6
2
7
6,11,12
12
4
false
12
4
false
12
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), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (2, 5), (2, 6), (2, 8), (2, 9), (2, 10), (2, 11), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (3, 9), (3, 10), (4, 5), (4, 6), (4, 7), (4, 8), (4, 10), (4, 11), (5, 6), (6, 7), (6, 8), (6, 10), (10, 11)]
12
40
true
61
10
6
1
0,2,3,4
4
5
true
4
5
true
4
5
1
erdos
[(0, 12), (1, 13), (1, 15), (2, 11), (2, 17), (3, 5), (4, 6), (4, 9), (5, 6), (5, 19), (6, 12), (6, 14), (7, 10), (7, 13), (7, 17), (8, 14), (8, 17), (12, 20), (13, 16), (13, 17), (14, 18)]
21
21
true
1
17
4
19
5
6
14
true
6
14
true
6
14
1
erdos
[(0, 1), (0, 2), (0, 4), (1, 2), (1, 3), (2, 3), (3, 24), (3, 25), (3, 26), (3, 27), (4, 5), (4, 6), (5, 6), (5, 29), (6, 30), (7, 21), (7, 30), (8, 9), (8, 11), (8, 13), (8, 17), (8, 18), (8, 22), (9, 11), (9, 12), (9, 13), (9, 16), (10, 28), (11, 17), (11, 18), (12, 13), (12, 16), (12, 19), (13, 16), (13, 19), (14, 15), (14, 28), (14, 31), (15, 26), (15, 28), (15, 31), (16, 19), (16, 20), (17, 18), (17, 22), (18, 22), (19, 20), (19, 23), (21, 30), (24, 25), (24, 26), (24, 27), (24, 31), (25, 27), (26, 27), (26, 31), (27, 31)]
32
57
true
34
27
5
2
0,1,3
19
15
false
19
15
false
19
15
-1
erdos
[(0, 1), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 11), (0, 12), (0, 13), (0, 14), (0, 15), (0, 16), (0, 17), (0, 19), (0, 20), (0, 21), (0, 22), (0, 24), (0, 25), (1, 2), (1, 3), (1, 4), (1, 6), (1, 8), (1, 9), (1, 10), (1, 11), (1, 12), (1, 13), (1, 14), (1, 15), (1, 16), (1, 17), (1, 19), (1, 20), (1, 21), (1, 22), (1, 23), (1, 24), (1, 25), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (2, 9), (2, 10), (2, 11), (2, 12), (2, 13), (2, 14), (2, 15), (2, 16), (2, 18), (2, 19), (2, 20), (2, 21), (2, 22), (2, 24), (2, 25), (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, 18), (3, 19), (3, 20), (3, 21), (3, 22), (3, 25), (4, 5), (4, 6), (4, 7), (4, 8), (4, 9), (4, 11), (4, 12), (4, 13), (4, 14), (4, 15), (4, 16), (4, 17), (4, 18), (4, 19), (4, 20), (4, 21), (4, 22), (4, 24), (5, 6), (5, 7), (5, 8), (5, 10), (5, 11), (5, 12), (5, 13), (5, 14), (5, 16), (5, 17), (5, 18), (5, 19), (5, 21), (5, 23), (5, 24), (6, 7), (6, 8), (6, 9), (6, 10), (6, 11), (6, 12), (6, 13), (6, 14), (6, 15), (6, 16), (6, 17), (6, 18), (6, 19), (6, 22), (6, 24), (6, 25), (7, 11), (7, 13), (7, 14), (7, 16), (7, 17), (7, 18), (7, 21), (7, 22), (7, 23), (7, 24), (7, 25), (8, 9), (8, 10), (8, 11), (8, 12), (8, 13), (8, 15), (8, 16), (8, 17), (8, 18), (8, 19), (8, 20), (8, 22), (8, 23), (8, 24), (8, 25), (9, 10), (9, 11), (9, 12), (9, 13), (9, 14), (9, 15), (9, 16), (9, 18), (9, 19), (9, 20), (9, 22), (9, 24), (9, 25), (10, 11), (10, 12), (10, 13), (10, 14), (10, 15), (10, 18), (10, 19), (10, 22), (10, 23), (10, 24), (11, 12), (11, 14), (11, 15), (11, 17), (11, 18), (11, 19), (11, 20), (11, 21), (11, 22), (11, 23), (11, 24), (12, 13), (12, 14), (12, 15), (12, 16), (12, 18), (12, 19), (12, 20), (12, 21), (12, 22), (12, 23), (12, 24), (12, 25), (13, 14), (13, 15), (13, 16), (13, 17), (13, 18), (13, 19), (13, 20), (13, 21), (13, 22), (13, 24), (13, 25), (14, 15), (14, 16), (14, 17), (14, 18), (14, 19), (14, 20), (14, 21), (14, 23), (14, 24), (14, 25), (15, 16), (15, 17), (15, 18), (15, 19), (15, 20), (15, 22), (16, 17), (16, 18), (16, 19), (16, 20), (16, 21), (16, 22), (16, 23), (16, 24), (16, 25), (17, 18), (17, 19), (17, 20), (17, 22), (17, 23), (17, 25), (18, 19), (18, 20), (18, 21), (18, 22), (18, 23), (18, 24), (18, 25), (19, 20), (19, 22), (19, 23), (19, 24), (20, 21), (20, 22), (20, 23), (20, 24), (20, 25), (21, 23), (21, 25), (22, 23), (22, 25), (23, 24), (24, 25)]
26
264
true
1,411
16
23
3
0,1,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,25
5
12
true
5
12
true
5
12
1
erdos
[(0, 1), (0, 2), (0, 5), (0, 6), (0, 7), (1, 2), (1, 3), (1, 4), (1, 5), (2, 3), (2, 4), (2, 5), (3, 4), (3, 5), (4, 5), (4, 10), (5, 6), (5, 7), (5, 14), (6, 7), (6, 12), (6, 17), (7, 17), (8, 9), (8, 10), (8, 19), (8, 20), (9, 10), (9, 19), (9, 20), (9, 21), (10, 20), (11, 13), (12, 16), (12, 17), (12, 18), (13, 14), (15, 16), (16, 17), (16, 18), (17, 18), (19, 20), (19, 21), (19, 22), (20, 21), (20, 22), (21, 22)]
23
47
true
36
11
1
1
0,2,3,4,5
22
8
false
22
8
true
22
8
2
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 5), (2, 7), (3, 5), (3, 7), (4, 5), (4, 6), (4, 9), (5, 6), (6, 9), (6, 10), (8, 10), (8, 11), (10, 11)]
12
24
true
19
4
5
7
2,3
10
7
false
10
7
true
10
7
4
erdos
[(0, 3), (0, 9), (1, 5), (2, 5), (2, 9), (3, 10), (4, 6), (4, 10), (6, 7), (8, 11), (8, 12), (8, 13), (12, 13)]
14
13
true
1
9
2
7
6
12
0
false
12
0
false
12
0
-1
erdos
[(0, 9), (0, 16), (1, 3), (2, 17), (3, 10), (3, 12), (4, 6), (4, 12), (5, 6), (6, 7), (6, 12), (7, 10), (7, 14), (8, 9), (8, 11), (9, 11), (10, 11), (10, 12), (10, 13), (10, 14), (13, 14), (13, 15), (13, 18), (17, 18)]
19
24
true
5
15
1
1
3
15
4
false
15
4
true
15
4
4
erdos
[(0, 24), (1, 25), (2, 3), (3, 6), (4, 7), (5, 19), (5, 22), (6, 14), (7, 17), (8, 9), (9, 17), (10, 20), (11, 13), (12, 13), (12, 15), (13, 15), (14, 15), (16, 17), (18, 19), (19, 20), (21, 22), (23, 24), (23, 25), (24, 25), (24, 26), (25, 26)]
27
26
true
3
20
2
23
24,25
9
14
false
9
14
false
9
14
-1
erdos
[(0, 1), (0, 9), (0, 10), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (2, 4), (2, 12), (3, 4), (3, 10), (3, 13), (4, 14), (5, 6), (5, 7), (6, 7), (6, 13), (6, 15), (6, 16), (7, 15), (7, 16), (7, 17), (7, 18), (8, 11), (8, 16), (8, 17), (8, 18), (8, 19), (9, 10), (9, 26), (10, 12), (11, 17), (11, 19), (12, 21), (14, 20), (15, 17), (15, 18), (16, 17), (16, 18), (17, 18), (22, 23), (22, 24), (22, 25), (23, 25), (24, 25), (24, 26)]
27
48
true
23
21
1
6
1,5,7,13,15,16
19
0
false
19
0
true
19
0
5
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (1, 2), (1, 3), (1, 6), (2, 4), (2, 5), (3, 5), (3, 6), (5, 6)]
7
14
true
10
4
2
4
0,2
6
3
true
6
3
true
6
3
1
erdos
[(0, 2), (0, 5), (0, 6), (1, 2), (1, 5), (2, 5), (3, 4), (3, 6), (4, 6)]
7
9
true
3
6
3
4
3,6
5
2
true
5
2
true
5
2
1
erdos
[(0, 22), (0, 23), (1, 8), (1, 24), (2, 19), (2, 20), (3, 14), (3, 18), (4, 5), (4, 8), (5, 6), (6, 22), (7, 20), (9, 17), (9, 28), (10, 21), (10, 26), (11, 22), (11, 23), (11, 24), (12, 26), (13, 16), (13, 17), (14, 15), (15, 28), (18, 25), (19, 27), (21, 27)]
29
28
true
0
9
2
5
4,6
16
2
false
16
2
false
16
2
-1
erdos
[(0, 1), (0, 2), (0, 7), (1, 2), (1, 6), (2, 6), (2, 8), (2, 9), (3, 13), (3, 14), (4, 5), (4, 8), (4, 9), (5, 6), (5, 8), (6, 8), (6, 9), (7, 10), (7, 11), (8, 9), (10, 11), (10, 12), (11, 14), (13, 14)]
15
24
true
11
6
5
14
3,11,13
7
2
false
7
2
true
7
2
2
erdos
[(0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (2, 3), (2, 4), (3, 4)]
5
8
true
5
4
2
3
0,1,2,4
3
4
true
3
4
true
3
4
1
erdos
[(0, 4), (0, 13), (1, 10), (2, 4), (2, 30), (2, 31), (3, 9), (3, 22), (5, 20), (5, 27), (6, 27), (7, 25), (7, 29), (8, 15), (8, 16), (9, 24), (10, 16), (11, 21), (12, 21), (13, 14), (14, 17), (15, 24), (18, 19), (19, 26), (21, 26), (22, 23), (27, 28), (28, 32), (29, 32)]
33
29
false
0
25
1
8
15,16
5
30
false
5
30
false
5
30
-1
erdos
[(0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (2, 5), (2, 8), (4, 5), (4, 6), (4, 8), (4, 14), (4, 15), (4, 16), (4, 17), (5, 6), (5, 8), (6, 15), (6, 16), (6, 17), (7, 9), (7, 10), (7, 12), (8, 15), (9, 10), (9, 12), (9, 13), (10, 12), (10, 13), (11, 24), (12, 20), (14, 16), (14, 17), (14, 18), (14, 19), (14, 20), (15, 16), (16, 17), (16, 18), (17, 18), (17, 19), (18, 19), (18, 23), (19, 23), (21, 22), (23, 24)]
25
49
true
32
13
2
8
2,4,5,15
13
1
false
13
1
true
13
1
3
erdos
[(0, 3), (0, 4), (1, 5), (2, 10), (2, 12), (3, 4), (4, 6), (5, 6), (5, 7), (5, 9), (6, 7), (6, 9), (8, 10), (8, 11), (8, 12), (10, 12), (11, 12)]
13
17
true
6
3
2
10
2,8,12
6
7
true
6
7
true
6
7
1
erdos
[(0, 6), (1, 2), (1, 9), (2, 8), (3, 8), (4, 7), (4, 10), (5, 6), (6, 11), (6, 12), (6, 13), (8, 10), (9, 10)]
14
13
true
0
10
3
7
4
9
0
false
9
0
false
9
0
-1
erdos
[(0, 2), (0, 3), (0, 4), (1, 9), (2, 4), (3, 4), (3, 5), (3, 6), (4, 6), (4, 7), (6, 7), (8, 9), (8, 12), (9, 10), (9, 11), (10, 11), (10, 18), (10, 19), (12, 13), (12, 14), (12, 15), (12, 16), (13, 14), (13, 16), (14, 15), (14, 16), (15, 16), (17, 18), (17, 19), (18, 19)]
20
30
true
14
3
4
6
3,4,7
11
3
false
11
3
false
11
3
-1
erdos
[(0, 1), (0, 2), (0, 3), (0, 7), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 4), (2, 8), (3, 7), (3, 9), (3, 10), (4, 8), (4, 18), (4, 20), (5, 6), (5, 11), (5, 13), (5, 14), (5, 21), (5, 22), (5, 23), (6, 11), (6, 13), (6, 14), (6, 22), (6, 23), (7, 9), (7, 10), (8, 16), (8, 18), (9, 10), (9, 28), (10, 28), (11, 12), (11, 13), (11, 14), (12, 13), (12, 14), (13, 14), (14, 22), (15, 17), (15, 19), (16, 18), (16, 24), (19, 25), (19, 27), (21, 22), (21, 23), (22, 23), (24, 26), (25, 26), (25, 27), (28, 29), (28, 30), (28, 31), (28, 32), (30, 31), (30, 32), (31, 32)]
33
63
true
42
9
4
22
5,6,14,21,23
20
19
false
20
19
true
20
19
7
erdos
[(0, 2), (0, 5), (0, 18), (0, 26), (1, 12), (1, 26), (2, 4), (2, 12), (2, 24), (2, 26), (3, 4), (3, 10), (3, 15), (3, 20), (4, 16), (4, 20), (4, 24), (5, 6), (5, 7), (6, 8), (6, 11), (6, 17), (6, 19), (7, 10), (7, 11), (7, 22), (7, 23), (8, 13), (8, 19), (9, 13), (9, 15), (9, 17), (9, 19), (10, 11), (10, 14), (10, 22), (11, 13), (11, 14), (11, 22), (11, 23), (12, 26), (13, 19), (14, 26), (15, 19), (16, 25), (20, 21), (24, 25)]
27
47
true
15
3
4
5
0,6,7
15
16
false
15
16
true
15
16
3
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (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
21
true
35
3
6
5
0,1,2,3,4,6
3
0
true
3
0
true
3
0
1
erdos
[(0, 1), (0, 14), (2, 10), (3, 18), (4, 13), (5, 18), (5, 21), (6, 9), (6, 11), (7, 17), (8, 10), (8, 12), (8, 15), (9, 13), (10, 16), (11, 19), (12, 16), (13, 17), (14, 20), (20, 21), (20, 22)]
23
21
true
0
15
1
7
17
2
22
false
2
22
false
2
22
-1
erdos
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192
true
848
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13
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1,2,4,5,6,8,9,11,15,16,17,18,19,20,21,22,23
18
9
true
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true
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9
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erdos
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19
26
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11
3
3
0,1,2,4
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7
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7
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[(0, 1), (0, 2), (0, 5), (0, 6), (0, 7), (0, 8), (1, 2), (1, 3), (1, 4), (2, 3), (2, 6), (2, 9), (3, 9), (3, 10), (3, 11), (4, 5), (5, 18), (6, 7), (6, 24), (6, 25), (7, 8), (7, 24), (7, 25), (8, 20), (8, 24), (9, 10), (10, 11), (10, 22), (12, 13), (12, 14), (13, 14), (13, 15), (14, 15), (14, 16), (14, 17), (15, 16), (15, 17), (15, 21), (16, 17), (16, 21), (17, 21), (18, 19), (19, 26), (23, 26), (24, 25)]
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9
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9
4
erdos
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7
19
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26
0
5
3
0,1,2,4,5,6
1
6
true
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6
true
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6
1
erdos
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14
13
false
0
11
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9,11
9
7
false
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7
true
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7
7
erdos
[(0, 3), (1, 2), (1, 5), (3, 10), (4, 6), (5, 7), (5, 8), (7, 8), (7, 9), (7, 11), (8, 9), (9, 11), (10, 11)]
12
13
true
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1
2
2
1
8
6
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6
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6
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[(0, 1), (0, 2), (0, 3), (0, 7), (0, 8), (1, 2), (1, 3), (2, 3), (2, 7), (3, 7), (4, 6), (4, 16), (4, 19), (4, 20), (4, 21), (4, 25), (5, 6), (5, 19), (5, 24), (5, 25), (6, 20), (6, 25), (7, 8), (8, 9), (8, 10), (9, 10), (9, 17), (9, 18), (9, 20), (9, 21), (11, 12), (11, 13), (12, 13), (12, 14), (12, 26), (13, 26), (14, 26), (15, 16), (16, 20), (16, 21), (17, 18), (17, 19), (17, 20), (18, 20), (18, 21), (19, 20), (19, 25), (20, 21), (22, 23), (22, 24), (22, 25), (24, 27)]
28
52
true
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22
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22
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22
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erdos
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34
56
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9,17,29,30
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16
true
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16
true
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16
1
erdos
[(0, 4), (0, 5), (1, 4), (1, 5), (2, 4), (2, 5), (3, 6), (4, 7), (5, 7), (5, 8)]
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10
true
0
2
2
2
4,5
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32
359
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erdos
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25
44
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5
2
19
3,9,12,13
3
13
false
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13
true
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13
2
erdos
[(0, 1), (0, 2), (1, 2), (1, 3), (3, 5), (3, 6), (4, 6), (5, 6)]
7
8
true
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1
3
4
6
2
6
false
2
6
true
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6
3
erdos
[(0, 30), (1, 2), (1, 5), (1, 6), (3, 11), (3, 16), (3, 28), (4, 9), (4, 17), (4, 19), (5, 6), (7, 31), (8, 31), (9, 15), (10, 26), (12, 31), (13, 22), (14, 20), (14, 21), (15, 17), (17, 23), (18, 31), (19, 23), (20, 21), (20, 25), (20, 26), (20, 27), (20, 28), (21, 25), (21, 26), (21, 27), (22, 28), (24, 28), (24, 29), (26, 28), (30, 31)]
32
36
true
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30
2
20
14,21,25,26,27,28
31
4
false
31
4
false
31
4
-1
erdos
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24
40
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erdos
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17
89
true
186
6
11
10
0,1,2,3,8,11,14,15
16
15
false
16
15
true
16
15
2
erdos
[(0, 1), (0, 3), (0, 5), (0, 9), (0, 11), (0, 16), (0, 17), (0, 18), (1, 3), (1, 5), (1, 9), (1, 11), (1, 16), (1, 17), (1, 18), (2, 4), (2, 15), (3, 11), (3, 17), (3, 18), (4, 14), (4, 15), (5, 9), (5, 16), (5, 18), (6, 7), (6, 10), (6, 13), (6, 14), (7, 13), (7, 14), (7, 15), (8, 12), (8, 14), (8, 15), (9, 16), (9, 18), (11, 17), (11, 18), (12, 14), (12, 15), (13, 14), (14, 15), (16, 18), (17, 18)]
19
45
true
50
18
8
15
2,4,7,8,12,14
9
11
false
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11
true
9
11
2
erdos
[(0, 10), (0, 14), (1, 2), (1, 4), (1, 8), (2, 4), (2, 6), (3, 4), (3, 12), (3, 13), (3, 14), (3, 15), (5, 7), (5, 8), (6, 10), (6, 11), (7, 8), (7, 9), (8, 9), (10, 11), (10, 14), (12, 13), (12, 14), (12, 16), (13, 14), (13, 15), (14, 15)]
17
27
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3
5
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10
5
false
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true
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5
5
erdos
[(0, 1), (0, 2), (0, 5), (0, 6), (1, 2), (1, 3), (1, 4), (2, 4), (2, 5), (3, 12), (3, 13), (4, 8), (4, 13), (5, 6), (5, 7), (5, 8), (5, 9), (6, 7), (6, 10), (6, 11), (7, 9), (7, 10), (7, 11), (7, 17), (8, 9), (9, 16), (9, 17), (10, 11), (11, 18), (12, 13), (13, 14), (14, 21), (15, 16), (15, 17), (16, 17), (19, 20), (19, 21), (19, 22), (20, 21), (20, 22), (21, 22)]
23
41
true
19
10
3
19
20,21,22
7
5
true
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5
true
7
5
1
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (1, 2), (1, 3), (2, 3), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (4, 5), (4, 6), (4, 7), (4, 8), (5, 6), (6, 7), (6, 8), (7, 8)]
9
21
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2
6
8
4,6,7
5
0
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erdos
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16
119
true
546
8
15
9
0,1,2,3,4,5,6,7,8,10,11,12,13,14,15
3
6
true
3
6
true
3
6
1
erdos
[(0, 3), (0, 4), (0, 11), (0, 17), (1, 4), (1, 17), (2, 11), (3, 4), (3, 11), (3, 15), (3, 16), (3, 17), (3, 27), (4, 11), (4, 17), (4, 27), (5, 6), (5, 7), (5, 8), (5, 9), (5, 10), (5, 12), (6, 8), (6, 9), (6, 10), (6, 12), (6, 15), (6, 16), (7, 10), (7, 12), (7, 17), (8, 9), (8, 14), (8, 18), (9, 12), (9, 13), (9, 14), (9, 15), (9, 16), (9, 19), (10, 12), (10, 15), (10, 17), (13, 15), (13, 16), (13, 19), (13, 23), (14, 16), (14, 18), (14, 19), (14, 20), (14, 21), (15, 16), (15, 27), (16, 19), (16, 27), (17, 27), (18, 19), (18, 20), (18, 21), (18, 28), (19, 23), (19, 24), (20, 21), (20, 28), (21, 28), (22, 23), (22, 24), (22, 25), (22, 26), (23, 24), (23, 25), (24, 25), (25, 26)]
29
74
true
60
17
7
25
22,23,24,26
20
8
false
20
8
true
20
8
2
erdos
[(0, 3), (1, 4), (3, 4)]
5
3
false
0
2
0
2
3
4
true
3
4
true
3
4
1
erdos
[(0, 1), (0, 2), (0, 3), (0, 5), (0, 13), (0, 15), (0, 26), (0, 27), (1, 2), (1, 3), (1, 5), (1, 13), (1, 15), (1, 26), (1, 27), (2, 3), (2, 5), (2, 13), (2, 15), (2, 26), (2, 27), (3, 5), (3, 13), (3, 15), (3, 26), (3, 27), (4, 6), (4, 7), (4, 8), (4, 9), (4, 10), (4, 11), (4, 12), (4, 28), (4, 29), (5, 13), (5, 15), (5, 26), (5, 27), (6, 7), (6, 8), (6, 9), (6, 10), (6, 11), (6, 12), (6, 28), (6, 29), (7, 8), (7, 9), (7, 10), (7, 11), (7, 12), (7, 28), (7, 29), (8, 9), (8, 10), (8, 11), (8, 12), (8, 28), (8, 29), (9, 10), (9, 11), (9, 12), (9, 28), (9, 29), (10, 11), (10, 12), (10, 28), (10, 29), (11, 12), (11, 28), (11, 29), (12, 28), (12, 29), (13, 15), (13, 26), (13, 27), (14, 16), (14, 17), (14, 18), (14, 19), (14, 20), (14, 21), (14, 22), (14, 23), (15, 26), (15, 27), (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), (26, 27), (28, 29)]
30
118
true
288
6
9
4
6,7,8,9,10,11,12,28,29
23
2
false
23
2
false
23
2
-1
erdos
[(0, 11), (0, 12), (1, 19), (2, 19), (2, 30), (3, 21), (3, 24), (3, 27), (4, 5), (4, 17), (5, 20), (6, 8), (6, 18), (7, 16), (7, 18), (7, 20), (9, 24), (9, 29), (10, 22), (10, 27), (11, 12), (12, 24), (12, 26), (13, 14), (13, 18), (13, 28), (13, 29), (14, 29), (15, 18), (15, 24), (17, 20), (17, 29), (20, 25), (21, 23), (22, 26), (23, 26), (24, 27), (25, 30)]
31
38
true
3
6
2
9
24,29
15
27
false
15
27
true
15
27
2
erdos
[(0, 1), (0, 2), (0, 3), (0, 8), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (2, 5), (2, 8), (2, 9), (3, 7), (3, 11), (4, 5), (4, 6), (4, 22), (4, 23), (5, 18), (5, 20), (5, 22), (5, 23), (6, 7), (8, 9), (8, 10), (9, 10), (9, 13), (9, 14), (10, 13), (10, 14), (10, 15), (12, 17), (13, 15), (14, 15), (14, 16), (15, 16), (17, 18), (18, 19), (18, 20), (18, 21), (19, 20), (19, 21), (20, 22), (22, 23)]
24
45
true
23
3
4
22
4,5,20,23
7
8
false
7
8
true
7
8
3
erdos
[(0, 4), (0, 9), (0, 10), (1, 3), (1, 14), (2, 6), (2, 7), (2, 8), (3, 5), (4, 10), (4, 12), (6, 7), (6, 8), (6, 11), (7, 8), (7, 11), (9, 12), (10, 12), (10, 13), (13, 14)]
15
20
true
7
2
3
5
3
14
6
false
14
6
false
14
6
-1
erdos
[(0, 4), (0, 5), (0, 6), (0, 8), (0, 9), (0, 10), (1, 2), (1, 7), (2, 4), (2, 5), (2, 9), (2, 10), (3, 4), (3, 6), (3, 7), (3, 8), (4, 5), (4, 6), (4, 8), (4, 9), (5, 6), (6, 8), (6, 9), (6, 10), (7, 8), (8, 9), (9, 10)]
11
27
true
23
10
4
8
0,3,4,6,7,9
5
8
false
5
8
true
5
8
2
erdos
[(0, 1), (0, 3), (0, 4), (1, 2), (1, 3), (2, 4)]
5
6
true
1
4
2
4
0,2
2
4
true
2
4
true
2
4
1
erdos
[(0, 1), (0, 2), (0, 3), (0, 7), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 5), (2, 9), (2, 10), (2, 11), (3, 5), (3, 6), (3, 7), (4, 6), (4, 13), (5, 11), (6, 7), (6, 8), (6, 13), (7, 8), (8, 13), (9, 10), (9, 12), (10, 11), (10, 12)]
14
28
true
15
4
3
3
0,1,5,6,7
3
9
false
3
9
true
3
9
3
erdos
[(0, 5), (0, 6), (0, 8), (0, 10), (0, 12), (0, 14), (0, 15), (0, 17), (0, 18), (0, 19), (0, 20), (0, 21), (1, 5), (1, 7), (1, 8), (1, 9), (1, 12), (1, 14), (1, 15), (1, 16), (1, 17), (1, 18), (1, 19), (1, 20), (1, 21), (2, 5), (2, 6), (2, 7), (2, 8), (2, 9), (2, 10), (2, 11), (2, 15), (2, 16), (2, 17), (2, 19), (2, 20), (2, 21), (3, 5), (3, 6), (3, 7), (3, 8), (3, 9), (3, 10), (3, 11), (3, 12), (3, 13), (3, 14), (3, 16), (3, 17), (3, 18), (3, 19), (3, 21), (4, 5), (4, 6), (4, 7), (4, 9), (4, 10), (4, 11), (4, 13), (4, 14), (4, 15), (4, 16), (4, 17), (4, 18), (4, 19), (4, 20), (4, 21)]
22
68
true
0
19
5
20
0,1,2,4
6
11
false
6
11
true
6
11
2
erdos
[(0, 1), (0, 2), (0, 3), (1, 2), (1, 6), (2, 3), (2, 6), (2, 7), (4, 5), (4, 8), (4, 9), (5, 7), (5, 8), (5, 9), (6, 7), (6, 8), (6, 9), (7, 8), (7, 9)]
10
19
true
10
6
5
0
1,2,3
8
1
false
8
1
true
8
1
2
erdos
[(0, 1), (0, 2), (0, 5), (1, 2), (1, 3), (4, 21), (4, 24), (5, 7), (6, 11), (6, 23), (8, 10), (8, 11), (9, 13), (9, 14), (10, 11), (10, 12), (11, 12), (13, 14), (13, 16), (13, 17), (13, 18), (14, 17), (14, 20), (15, 17), (15, 19), (16, 18), (16, 20), (17, 19), (18, 22), (20, 24), (22, 23)]
25
31
true
7
17
4
8
10,11
14
3
false
14
3
false
14
3
-1
erdos
[(0, 1), (0, 7), (0, 10), (0, 13), (0, 16), (0, 19), (0, 20), (1, 2), (1, 4), (1, 5), (1, 6), (1, 7), (1, 9), (1, 10), (1, 11), (1, 12), (1, 13), (1, 15), (1, 16), (1, 17), (1, 19), (1, 20), (1, 21), (1, 22), (1, 23), (1, 24), (1, 25), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 9), (2, 10), (2, 11), (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), (3, 7), (3, 10), (3, 13), (3, 14), (3, 15), (3, 16), (3, 23), (4, 6), (4, 7), (4, 10), (4, 12), (4, 13), (4, 16), (4, 23), (5, 6), (5, 7), (5, 10), (5, 12), (5, 13), (5, 16), (6, 7), (6, 8), (6, 9), (6, 10), (6, 11), (6, 12), (6, 13), (6, 14), (6, 15), (6, 16), (6, 18), (6, 19), (6, 21), (6, 22), (6, 23), (6, 24), (6, 25), (7, 8), (7, 9), (7, 10), (7, 11), (7, 12), (7, 13), (7, 14), (7, 15), (7, 16), (7, 17), (7, 19), (7, 20), (7, 21), (7, 22), (7, 23), (7, 24), (7, 25), (8, 10), (8, 13), (8, 16), (9, 10), (10, 11), (10, 12), (10, 13), (10, 14), (10, 15), (10, 16), (10, 17), (10, 18), (10, 20), (10, 21), (10, 22), (10, 23), (10, 25), (11, 12), (11, 13), (11, 16), (12, 13), (12, 15), (12, 16), (12, 17), (12, 20), (12, 21), (12, 22), (12, 24), (12, 25), (13, 14), (13, 15), (13, 17), (13, 18), (13, 19), (13, 20), (13, 21), (13, 22), (13, 23), (13, 24), (13, 25), (14, 16), (14, 21), (15, 24), (16, 19), (16, 22), (19, 23), (20, 24), (23, 24)]
26
150
true
397
16
15
18
2,6,10,13
10
18
true
10
18
true
10
18
1
erdos
[(0, 1), (0, 2), (1, 2), (1, 3), (1, 4), (2, 5), (3, 4)]
6
7
true
2
4
2
0
1,2
2
5
true
2
5
true
2
5
1
erdos
[(0, 1), (0, 3), (0, 4), (0, 5), (1, 3), (1, 4), (2, 13), (3, 4), (3, 5), (4, 5), (6, 10), (6, 11), (7, 8), (7, 12), (7, 13), (8, 12), (8, 14), (9, 10), (10, 11), (12, 13)]
15
20
true
10
3
4
14
8
6
7
false
6
7
false
6
7
-1
erdos
[(0, 1), (0, 2), (0, 5), (0, 7), (1, 2), (1, 3), (1, 5), (2, 3), (2, 5), (2, 8), (3, 5), (3, 9), (3, 10), (4, 12), (6, 14), (6, 15), (6, 17), (7, 8), (7, 11), (7, 31), (7, 32), (8, 13), (9, 10), (11, 29), (11, 30), (11, 31), (11, 32), (12, 14), (12, 15), (14, 15), (14, 17), (15, 17), (16, 18), (16, 20), (16, 21), (18, 19), (18, 20), (18, 22), (20, 21), (20, 22), (23, 24), (23, 25), (24, 25), (26, 27), (26, 28), (27, 33), (28, 33), (29, 30), (30, 31), (30, 32), (31, 32)]
34
51
true
25
24
2
13
8
13
33
false
13
33
false
13
33
-1