pattern_db.txt

{

(4, 6): [(4, 6), (4, 5), (5, 4), (6, 4), (6, 5), (7, 8), (9, 7), (8, 6), (8, 5), (8, 2), (8, 3), (7, 3), (6, 3), (5, 3), (4, 3), (4, 1), (3, 2), (1, 4), (0, 5), (0, 9), (0, 12), (3, 14), (5, 14), (5, 12), (10, 11), (11, 12), (13, 12), (13, 11), (13, 8), (13, 9), (10, 9), (11, 5), (14, 3)],
 
(3, 3): [(3, 3), (3, 2), (2, 2), (2, 0), (0, 0), (6, 1), (6, 3), (5, 3), (3, 4), (4, 6), (5, 6), (4, 7), (0, 7), (0, 8), (2, 8), (2, 11), (2, 12), (2, 14), (3, 14), (3, 10), (6, 11), (6, 9), (6, 7), (8, 4), (13, 3), (14, 0), (11, 2), (11, 7), (14, 7), (14, 10), (13, 12), (9, 12), (9, 13), (9, 14), (7, 14), (12, 14)], 

(5, 7): [(5, 7), (4, 7), (5, 9), (6, 9), (6, 10), (5, 10), (5, 13), (8, 13), (8, 8), (9, 7), (10, 7), (10, 9), (9, 9), (12, 9), (11, 10), (13, 13), (3, 14), (0, 8), (0, 7), (0, 1), (2, 1), (7, 1), (8, 1), (8, 0), (7, 2), (7, 3), (8, 5), (11, 3)], 

(10, 9): [(10, 9), (9, 10), (6, 11), (4, 12), (4, 13), (3, 13), (0, 14), (3, 9), (0, 0), (1, 0), (6, 2), (7, 1), (9, 1), (10, 0), (11, 1), (12, 1), (13, 1), (12, 3), (9, 4), (7, 4), (6, 5), (5, 6), (4, 7), (4, 8), (7, 8), (8, 7), (11, 7), (11, 5), (12, 5), (12, 6), (12, 7), (12, 9), (11, 9), (14, 9)], 

(11, 14): [(11, 14), (10, 13), (9, 14), (7, 14), (6, 11), (12, 11), (13, 10), (8, 8), (8, 6), (6, 6), (6, 4), (10, 4), (11, 6), (13, 5), (13, 4), (12, 2), (9, 1), (8, 1), (8, 2), (8, 3), (7, 3), (5, 3), (5, 1), (5, 0), (3, 0), (3, 1), (3, 2), (1, 4), (0, 6), (1, 6), (3, 6), (3, 8), (2, 10), (4, 10), (4, 12), (3, 14), (0, 11)], 


(0, 11): [(0, 11), (0, 12), (0, 13), (1, 14), (2, 14), (4, 10), (0, 9), (2, 9), (3, 9), (3, 8), (2, 6), (2, 5), (4, 5), (5, 1), (6, 1), (8, 0), (10, 1), (13, 2), (12, 2), (11, 3), (11, 6), (10, 6), (9, 6), (9, 4), (8, 3), (7, 3), (6, 3), (6, 4), (6, 6), (7, 9), (7, 11), (7, 12), (7, 13), (6, 14), (8, 14), (9, 13), (12, 14), (14, 13), (13, 12), (11, 10), (14, 8)], (12, 7): [(12, 7), (12, 6), (10, 5), (9, 7), (7, 7), (5, 6), (5, 3), (6, 3), (7, 2), (7, 1), (10, 1), (11, 1), (14, 1), (4, 0), (3, 0), (2, 1), (3, 5), (2, 6), (1, 6), (0, 9), (2, 9), (2, 10), (3, 10), (4, 10), (4, 9), (4, 11), (5, 11), (6, 11), (6, 14), (4, 14), (0, 14), (1, 11), (2, 13), (3, 13), (10, 13), (10, 11), (9, 10), (12, 11), (13, 13), (14, 14)], (4, 3): [(4, 3), (5, 3), (5, 4), (5, 1), (3, 1), (2, 1), (0, 1), (0, 2), (2, 4), (2, 5), (1, 5), (3, 6), (4, 6), (7, 7), (8, 7), (8, 6), (9, 5), (10, 4), (10, 2), (11, 2), (11, 1), (12, 1), (13, 1), (14, 4), (12, 4), (11, 4), (11, 7), (11, 8), (13, 8), (12, 9), (14, 9), (13, 10), (11, 11), (9, 10), (5, 11), (3, 10), (2, 8), (0, 10), (2, 12), (1, 12), (1, 13), (2, 14), (4, 14), (6, 12), (12, 13), (14, 14)], (12, 5): [(12, 5), (10, 5), (10, 6), (9, 8), (7, 8), (6, 8), (6, 7), (5, 9), (6, 10), (5, 11), (5, 13), (1, 13), (3, 12), (2, 10), (0, 10), (0, 7), (0, 1), (3, 2), (3, 5), (3, 4), (4, 4), (9, 3), (7, 0), (14, 0), (13, 0), (13, 7), (13, 10), (11, 9), (8, 9), (10, 10), (9, 11), (9, 12), (7, 13), (11, 13), (11, 12)], (11, 3): [(11, 3), (11, 4), (9, 4), (9, 5), (9, 2), (9, 1), (7, 0), (7, 3), (7, 4), (4, 4), (4, 5), (5, 5), (5, 8), (5, 10), (6, 11), (6, 12), (7, 12), (7, 13), (7, 14), (5, 13), (4, 12), (3, 13), (3, 14), (2, 14), (0, 13), (0, 12), (1, 10), (2, 9), (1, 7), (1, 5), (1, 2), (12, 2), (12, 6), (10, 7), (11, 10), (11, 12), (9, 12), (13, 13), (14, 13), (14, 8)], (14, 5): [(14, 5), (12, 4), (12, 2), (12, 1), (12, 0), (10, 3), (7, 3), (7, 2), (5, 2), (3, 2), (2, 1), (0, 2), (0, 4), (2, 5), (2, 8), (3, 10), (4, 11), (6, 12), (9, 12), (9, 14), (11, 14), (14, 14), (13, 12), (11, 9), (11, 8), (11, 6), (11, 5), (9, 6), (8, 8), (8, 9), (4, 9), (4, 5), (4, 4), (6, 0)], (0, 8): [(0, 8), (4, 10), (0, 10), (0, 13), (1, 13), (2, 14), (6, 14), (8, 14), (12, 14), (14, 10), (11, 10), (11, 9), (9, 9), (9, 12), (8, 11), (7, 10), (7, 8), (8, 8), (9, 7), (8, 7), (6, 5), (8, 4), (8, 5), (11, 5), (13, 2), (12, 0), (9, 0), (7, 0), (6, 1), (6, 3), (5, 3), (3, 4), (2, 4), (2, 5), (2, 6), (1, 7), (0, 4), (0, 0)], (4, 13): [(4, 13), (4, 14), (4, 11), (4, 10), (4, 9), (3, 9), (3, 7), (0, 7), (0, 9), (1, 12), (1, 5), (1, 2), (2, 2), (3, 0), (6, 0), (5, 3), (6, 6), (9, 5), (11, 5), (13, 4), (14, 1), (14, 7), (14, 9), (14, 14), (14, 13), (13, 13), (9, 14), (7, 13), (8, 12), (11, 12), (10, 12), (10, 11), (12, 11), (10, 8), (10, 7)], (11, 11): [(11, 11), (10, 11), (10, 10), (10, 12), (8, 12), (5, 12), (4, 12), (3, 12), (2, 13), (1, 14), (1, 12), (1, 10), (3, 7), (4, 9), (7, 9), (7, 11), (8, 13), (11, 13), (14, 14), (14, 8), (14, 7), (14, 4), (13, 1), (11, 1), (12, 2), (12, 4), (12, 8), (11, 8), (10, 6), (7, 5), (7, 4), (6, 2), (9, 0), (2, 1), (0, 2)], (0, 5): [(0, 5), (0, 0), (0, 1), (3, 2), (3, 1), (3, 0), (8, 0), (12, 0), (12, 1), (10, 5), (13, 5), (13, 9), (12, 9), (11, 10), (14, 10), (13, 10), (13, 13), (13, 12), (12, 12), (12, 13), (12, 14), (11, 14), (10, 14), (9, 14), (8, 13), (8, 11), (6, 11), (5, 10), (4, 10), (4, 7), (4, 8), (7, 8), (7, 6), (6, 6), (5, 5), (4, 5), (3, 5), (0, 6), (1, 10), (1, 14), (5, 13)], (11, 7): [(11, 7), (11, 7), (9, 7), (8, 7), (9, 8), (8, 9), (8, 12), (4, 12), (4, 9), (4, 7), (3, 5), (2, 3), (1, 4), (0, 4), (1, 6), (1, 9), (2, 11), (0, 13), (0, 14), (2, 14), (10, 14), (12, 14), (13, 14), (14, 8), (14, 2), (12, 2), (11, 2), (11, 1), (11, 3), (10, 3), (9, 3), (11, 4), (5, 4), (5, 2), (4, 2), (5, 1), (8, 0)], (7, 13): [(7, 13), (6, 13), (9, 12), (11, 12), (11, 13), (13, 13), (13, 14), (12, 10), (14, 9), (13, 7), (13, 6), (13, 4), (13, 3), (14, 0), (7, 0), (7, 1), (6, 1), (3, 0), (4, 3), (1, 3), (0, 3), (0, 2), (0, 5), (1, 7), (0, 9), (0, 12), (1, 12), (1, 13), (4, 11), (7, 11), (8, 10), (8, 9), (10, 10), (9, 8), (10, 7), (8, 7), (8, 3), (7, 4), (5, 5)], (11, 0): [(11, 0), (9, 0), (8, 0), (7, 0), (6, 1), (3, 1), (2, 1), (0, 1), (0, 9), (1, 12), (1, 13), (2, 14), (2, 12), (5, 13), (6, 14), (12, 14), (11, 12), (11, 9), (13, 10), (13, 8), (12, 6), (11, 4), (10, 4), (10, 6), (8, 8), (7, 10), (6, 9), (5, 10), (4, 10), (3, 8), (1, 8), (2, 7), (3, 7), (4, 7), (4, 6), (4, 4), (5, 3), (7, 4), (13, 1)], (10, 13): [(10, 13), (10, 13), (10, 12), (11, 12), (11, 13), (12, 13), (13, 13), (13, 12), (13, 11), (14, 9), (11, 9), (10, 9), (10, 7), (11, 7), (11, 6), (8, 3), (8, 4), (7, 4), (6, 3), (6, 5), (8, 6), (8, 9), (7, 14), (5, 12), (2, 14), (1, 11), (1, 9), (4, 9), (4, 7), (2, 7), (1, 7), (1, 6), (2, 8), (3, 8), (3, 4), (2, 0), (1, 0), (9, 1), (11, 1), (14, 1), (14, 3), (13, 4), (13, 6), (14, 5)], (5, 13): [(5, 13), (6, 13), (6, 9), (6, 8), (7, 8), (7, 7), (8, 9), (8, 10), (9, 10), (9, 11), (10, 11), (11, 10), (13, 11), (13, 13), (11, 13), (10, 14), (9, 12), (9, 5), (4, 4), (4, 10), (3, 14), (0, 14), (1, 12), (2, 11), (0, 8), (0, 6), (1, 5), (1, 3), (2, 1), (6, 0), (5, 2), (7, 2), (10, 2), (11, 3), (12, 3), (12, 5), (11, 6), (13, 8)], (8, 3): [(8, 3), (8, 5), (7, 5), (8, 6), (9, 6), (11, 7), (12, 4), (10, 2), (10, 0), (7, 0), (14, 0), (14, 1), (14, 8), (14, 14), (12, 14), (13, 11), (14, 10), (12, 10), (10, 11), (7, 11), (7, 12), (7, 13), (4, 13), (2, 13), (1, 10), (0, 10), (0, 8), (3, 7), (2, 6), (0, 2), (1, 0), (4, 1), (4, 4), (5, 6), (7, 7), (5, 9)], (2, 8): [(2, 8), (1, 8), (0, 9), (0, 12), (3, 11), (3, 10), (4, 9), (5, 9), (5, 12), (4, 12), (3, 14), (4, 14), (6, 14), (8, 14), (9, 13), (13, 12), (14, 11), (12, 10), (9, 9), (8, 7), (9, 7), (9, 5), (12, 5), (13, 5), (14, 3), (14, 2), (13, 2), (12, 0), (11, 1), (10, 2), (8, 2), (7, 3), (6, 4), (5, 6), (3, 5), (3, 4), (3, 1), (3, 0), (0, 2), (0, 4)], (12, 0): [(12, 0), (14, 0), (13, 3), (13, 5), (13, 6), (13, 7), (14, 7), (14, 8), (14, 10), (14, 12), (13, 12), (14, 13), (14, 14), (13, 14), (11, 10), (10, 9), (10, 6), (9, 6), (9, 5), (9, 4), (10, 4), (10, 3), (8, 2), (7, 4), (6, 0), (4, 0), (3, 1), (2, 3), (3, 3), (3, 4), (5, 6), (5, 5), (0, 5), (1, 8), (2, 9), (0, 10), (0, 11), (2, 12), (2, 14), (3, 13), (5, 11), (9, 11)], (2, 9): [(2, 9), (2, 8), (3, 7), (5, 9), (0, 9), (0, 8), (0, 7), (0, 5), (0, 1), (0, 0), (2, 0), (2, 3), (3, 3), (3, 4), (4, 2), (6, 3), (6, 1), (7, 1), (12, 0), (14, 0), (14, 6), (14, 4), (13, 4), (13, 3), (11, 3), (10, 6), (9, 5), (8, 6), (8, 9), (10, 9), (12, 9), (13, 9), (14, 9), (14, 10), (14, 11), (14, 14), (12, 14), (12, 11), (12, 12), (9, 12), (8, 14), (7, 14), (6, 13), (4, 13), (3, 12), (2, 12), (1, 12), (1, 13)], (13, 2): [(13, 2), (14, 0), (11, 1), (10, 3), (8, 3), (5, 4), (5, 2), (2, 0), (0, 0), (1, 2), (2, 2), (2, 6), (1, 7), (1, 8), (2, 8), (2, 9), (4, 7), (6, 7), (9, 8), (8, 9), (7, 12), (5, 12), (4, 11), (2, 11), (2, 13), (0, 13), (1, 14), (5, 14), (8, 14), (10, 14), (12, 11), (12, 10), (14, 10), (14, 11), (14, 12), (14, 13), (14, 5), (12, 5), (11, 5)], (5, 9): [(5, 9), (8, 9), (8, 10), (8, 11), (10, 11), (10, 12), (11, 12), (12, 11), (11, 9), (11, 8), (12, 8), (12, 6), (13, 7), (13, 8), (14, 8), (12, 14), (8, 13), (7, 14), (6, 14), (1, 13), (3, 13), (3, 10), (1, 10), (2, 8), (2, 7), (3, 6), (1, 6), (1, 4), (0, 3), (2, 3), (4, 3), (4, 4), (5, 5), (6, 5), (7, 5), (8, 4), (7, 3), (8, 2), (11, 3), (13, 1), (13, 0), (9, 0), (8, 0), (6, 0), (5, 0), (6, 2), (1, 1)], (4, 0): [(4, 0), (2, 0), (2, 2), (0, 2), (3, 2), (6, 2), (8, 2), (7, 0), (11, 1), (13, 1), (13, 2), (14, 3), (10, 3), (11, 4), (11, 5), (12, 5), (14, 8), (13, 9), (11, 9), (12, 10), (12, 14), (11, 14), (10, 14), (10, 13), (7, 13), (5, 13), (5, 12), (5, 14), (4, 14), (3, 14), (1, 14), (0, 14), (2, 12), (2, 11), (3, 11), (3, 10), (4, 8), (4, 7), (5, 7), (5, 6), (6, 6), (2, 6), (2, 7)], (7, 14): [(7, 14), (6, 14), (5, 13), (4, 12), (3, 10), (0, 9), (0, 3), (3, 3), (2, 0), (1, 0), (1, 2), (1, 4), (1, 6), (3, 6), (6, 5), (8, 8), (7, 8), (6, 10), (6, 11), (7, 12), (8, 12), (9, 13), (11, 14), (12, 12), (12, 10), (13, 11), (14, 13), (14, 9), (14, 6), (13, 5), (13, 7), (12, 8), (10, 6), (8, 5), (7, 5), (7, 4), (7, 1), (9, 1), (11, 1)], (3, 11): [(3, 11), (3, 12), (4, 13), (5, 13), (5, 14), (6, 14), (5, 11), (6, 10), (6, 8), (7, 6), (8, 8), (9, 8), (9, 9), (8, 10), (8, 11), (13, 12), (12, 9), (12, 8), (12, 6), (11, 6), (11, 5), (10, 5), (10, 1), (10, 0), (0, 0), (2, 0), (3, 0), (4, 1), (4, 2), (5, 2), (7, 3), (6, 4), (6, 5), (4, 5), (2, 6), (2, 4), (0, 4), (0, 5), (0, 8), (0, 10), (0, 12)], (8, 2): [(8, 2), (7, 3), (9, 3), (9, 5), (8, 7), (5, 6), (5, 5), (3, 1), (2, 0), (1, 1), (1, 2), (0, 2), (0, 4), (1, 7), (1, 9), (0, 9), (0, 10), (3, 11), (5, 11), (8, 11), (10, 10), (9, 9), (11, 9), (11, 7), (10, 6), (12, 1), (13, 2), (13, 4), (14, 6), (14, 10), (13, 11), (12, 11), (12, 12), (10, 14), (7, 14), (6, 12)], (13, 6): [(13, 6), (13, 6), (13, 4), (13, 0), (12, 0), (12, 2), (12, 3), (12, 5), (9, 5), (7, 5), (6, 3), (4, 0), (1, 0), (2, 0), (2, 2), (2, 3), (1, 3), (3, 5), (2, 6), (1, 6), (1, 7), (1, 8), (0, 9), (0, 13), (2, 14), (3, 12), (5, 14), (7, 13), (8, 12), (8, 11), (11, 11), (10, 12), (11, 13), (12, 13), (9, 14), (9, 7), (14, 7), (13, 9)], (10, 1): [(10, 1), (8, 1), (7, 3), (9, 3), (10, 5), (13, 5), (14, 5), (14, 7), (12, 7), (12, 8), (12, 10), (14, 11), (9, 12), (6, 12), (6, 9), (6, 8), (5, 9), (2, 14), (3, 8), (2, 7), (2, 6), (4, 6), (4, 7), (3, 3), (0, 1), (2, 0), (4, 1), (4, 0), (7, 0), (14, 0)], (10, 7): [(10, 7), (9, 5), (8, 5), (8, 6), (6, 6), (6, 10), (9, 10), (8, 11), (8, 13), (10, 12), (11, 14), (13, 14), (13, 10), (13, 9), (14, 8), (14, 7), (14, 5), (14, 4), (14, 3), (14, 2), (10, 2), (10, 1), (10, 0), (7, 0), (5, 1), (4, 1), (0, 0), (0, 13), (0, 14), (3, 14), (3, 11), (1, 8), (2, 5), (0, 5), (0, 4), (1, 4), (2, 3), (1, 2), (5, 2), (11, 3), (12, 5), (12, 10), (14, 11)], (1, 11): [(1, 11), (0, 11), (1, 12), (2, 14), (3, 14), (4, 13), (5, 12), (6, 13), (12, 14), (13, 10), (14, 12), (12, 12), (10, 12), (11, 11), (9, 10), (10, 9), (10, 7), (9, 7), (9, 4), (8, 4), (8, 3), (8, 1), (7, 1), (9, 0), (10, 1), (12, 2), (13, 3), (13, 4), (14, 4), (14, 1), (14, 7), (11, 7), (11, 6), (10, 6), (6, 6), (4, 6), (5, 7), (5, 10), (2, 9), (3, 1), (3, 0), (1, 0)], (4, 4): [(4, 4), (3, 3), (3, 1), (3, 0), (1, 1), (1, 3), (1, 5), (3, 6), (2, 7), (2, 8), (1, 9), (1, 11), (2, 11), (0, 13), (5, 13), (8, 13), (9, 13), (9, 12), (8, 11), (11, 11), (12, 12), (11, 13), (13, 13), (13, 8), (10, 8), (10, 7), (10, 6), (9, 6), (9, 5), (9, 8), (4, 7), (6, 7), (7, 6), (7, 5), (6, 4), (8, 2), (9, 1), (9, 2), (10, 4), (14, 3), (14, 2)], (14, 9): [(14, 9), (14, 11), (14, 13), (14, 6), (14, 3), (14, 2), (13, 0), (12, 3), (11, 3), (13, 5), (12, 7), (10, 9), (7, 10), (6, 8), (6, 7), (9, 7), (8, 5), (9, 4), (4, 4), (4, 5), (6, 5), (6, 2), (5, 2), (2, 0), (2, 1), (2, 3), (0, 5), (1, 7), (3, 9), (3, 12), (4, 13), (5, 13), (7, 13), (8, 13), (9, 13), (8, 14), (6, 14), (1, 11)], (12, 9): [(12, 9), (14, 9), (14, 7), (14, 6), (14, 4), (13, 2), (11, 3), (10, 3), (9, 3), (9, 0), (7, 3), (5, 2), (4, 2), (4, 3), (2, 3), (2, 2), (2, 1), (1, 2), (0, 5), (0, 6), (2, 6), (2, 5), (5, 5), (5, 4), (7, 6), (8, 6), (9, 5), (8, 9), (8, 11), (9, 12), (11, 13), (13, 11), (14, 14), (3, 14), (1, 14), (3, 7)], (3, 0): [(3, 0), (3, 4), (3, 5), (2, 5), (1, 4), (1, 7), (2, 7), (4, 8), (4, 5), (5, 5), (9, 4), (10, 1), (8, 0), (14, 0), (14, 2), (14, 6), (14, 7), (13, 9), (10, 9), (9, 9), (10, 12), (12, 12), (6, 13), (5, 11), (5, 10), (3, 11), (3, 13), (1, 10), (0, 10), (0, 9)], (6, 11): [(6, 11), (6, 9), (7, 9), (4, 9), (4, 7), (4, 6), (4, 4), (4, 3), (2, 3), (2, 4), (3, 5), (2, 7), (0, 7), (0, 3), (0, 2), (7, 3), (10, 4), (12, 4), (13, 4), (14, 6), (14, 13), (13, 12), (13, 14), (11, 14), (0, 14), (1, 12), (1, 13), (2, 13), (4, 13), (7, 14), (9, 13), (10, 11), (10, 8), (11, 8), (8, 6)], (5, 10): [(5, 10), (5, 8), (5, 7), (3, 7), (2, 9), (1, 9), (0, 8), (0, 5), (1, 5), (2, 5), (4, 4), (4, 6), (6, 6), (6, 9), (7, 10), (11, 9), (10, 9), (9, 8), (9, 5), (9, 2), (7, 2), (1, 2), (0, 1), (3, 1), (4, 0), (8, 0), (11, 1), (13, 1), (13, 3), (14, 3), (14, 4), (12, 5), (13, 6), (12, 8), (14, 8), (14, 10), (14, 12), (11, 13), (10, 14), (7, 14), (4, 14), (5, 13), (4, 13), (3, 11), (2, 11), (0, 14)], (8, 7): [(8, 7), (10, 7), (11, 7), (12, 8), (12, 11), (14, 11), (10, 12), (9, 13), (9, 14), (11, 14), (6, 14), (4, 12), (2, 10), (1, 9), (2, 6), (0, 2), (4, 0), (8, 2), (6, 2), (5, 3), (5, 4), (5, 8), (7, 10), (9, 9), (10, 8), (10, 5), (10, 3), (12, 3), (13, 3), (13, 4), (13, 6), (13, 7), (14, 5), (14, 1), (13, 1)], (12, 4): [(12, 4), (13, 4), (13, 3), (12, 0), (11, 2), (8, 2), (8, 4), (10, 4), (9, 6), (7, 6), (8, 7), (4, 7), (3, 6), (5, 4), (5, 0), (0, 0), (1, 4), (0, 6), (1, 7), (1, 14), (2, 13), (3, 12), (3, 10), (5, 10), (6, 11), (7, 14), (8, 14), (11, 13), (11, 6), (13, 6), (12, 7), (11, 8), (12, 10), (13, 10), (12, 12), (12, 13), (14, 14)], (12, 3): [(12, 3), (12, 2), (14, 2), (14, 4), (13, 14), (12, 14), (11, 12), (10, 11), (5, 12), (4, 10), (0, 10), (0, 8), (2, 9), (2, 7), (1, 7), (1, 6), (2, 0), (4, 0), (5, 0), (5, 3), (6, 6), (7, 6), (8, 7), (10, 8), (11, 8), (13, 7), (13, 6), (13, 5), (11, 5), (11, 3), (13, 3), (13, 0)], (5, 11): [(5, 11), (5, 11), (4, 11), (4, 12), (3, 12), (1, 12), (1, 13), (2, 14), (4, 14), (5, 12), (6, 11), (6, 10), (6, 8), (5, 7), (5, 6), (5, 5), (3, 6), (2, 6), (2, 4), (1, 4), (2, 2), (2, 0), (1, 0), (0, 1), (0, 7), (1, 8), (5, 9), (8, 9), (8, 6), (9, 5), (8, 3), (7, 2), (11, 1), (12, 0), (14, 0), (12, 2), (11, 3), (12, 5), (12, 6), (11, 8), (14, 9), (13, 11), (10, 10), (8, 12), (8, 13), (9, 13), (7, 14)], (9, 8): [(9, 8), (9, 8), (8, 8), (7, 6), (7, 3), (5, 2), (2, 2), (2, 1), (1, 3), (1, 4), (1, 5), (2, 5), (3, 4), (4, 5), (3, 8), (3, 9), (1, 7), (1, 10), (0, 11), (3, 11), (5, 10), (4, 10), (4, 13), (7, 13), (8, 12), (10, 12), (10, 11), (10, 10), (10, 9), (12, 9), (12, 7), (12, 6), (11, 6), (10, 6), (11, 3), (11, 0), (14, 0), (13, 1), (13, 3), (14, 6), (13, 12), (13, 14), (11, 14)], (0, 1): [(0, 1), (3, 0), (4, 0), (4, 1), (4, 3), (4, 5), (4, 6), (2, 6), (3, 8), (4, 8), (5, 7), (6, 8), (7, 9), (7, 12), (8, 13), (11, 13), (11, 12), (14, 13), (13, 8), (13, 2), (11, 2), (8, 2), (7, 1), (9, 3), (9, 4)], (13, 11): [(13, 11), (14, 11), (14, 9), (12, 10), (10, 12), (8, 12), (9, 11), (9, 8), (8, 9), (7, 9), (5, 11), (2, 14), (0, 11), (1, 7), (2, 8), (5, 8), (4, 1), (5, 0), (7, 0), (6, 4), (7, 4), (8, 4), (9, 3), (9, 1), (10, 0), (12, 1), (12, 6), (14, 2)], (2, 6): [(2, 6), (2, 7), (3, 8), (5, 8), (6, 9), (6, 10), (5, 12), (5, 13), (3, 13), (2, 13), (1, 13), (1, 12), (0, 10), (0, 8), (2, 4), (3, 4), (4, 4), (3, 2), (2, 1), (8, 0), (7, 3), (12, 3), (13, 5), (14, 6), (10, 7), (10, 8), (11, 9), (14, 11), (12, 12), (8, 12), (9, 14), (6, 14), (4, 14)], (6, 4): [(6, 4), (5, 3), (4, 4), (3, 5), (2, 6), (1, 6), (1, 7), (1, 3), (0, 4), (0, 0), (6, 1), (8, 1), (8, 4), (10, 5), (13, 1), (14, 2), (14, 8), (11, 8), (12, 9), (13, 9), (13, 13), (11, 14), (10, 12), (10, 11), (9, 11), (8, 11), (8, 12), (7, 12), (6, 12), (6, 11), (6, 9), (5, 12), (5, 14), (3, 14), (1, 11), (0, 11)], (4, 14): [(4, 14), (4, 14), (12, 14), (12, 13), (13, 13), (13, 11), (14, 11), (14, 9), (14, 12), (11, 12), (6, 12), (8, 12), (9, 10), (10, 9), (9, 8), (9, 6), (11, 6), (11, 4), (14, 5), (14, 3), (13, 2), (12, 2), (10, 1), (11, 0), (9, 0), (7, 0), (8, 3), (6, 3), (5, 3), (5, 7), (5, 11), (5, 10), (3, 10), (2, 10), (1, 11), (1, 7), (2, 6), (3, 6), (4, 4), (4, 2), (1, 2), (0, 3)], (9, 13): [(9, 13), (9, 12), (8, 10), (9, 9), (13, 10), (12, 10), (11, 12), (12, 14), (9, 14), (6, 14), (6, 12), (4, 11), (2, 12), (0, 14), (0, 12), (0, 11), (0, 9), (2, 9), (2, 8), (4, 5), (3, 5), (2, 5), (1, 3), (3, 2), (2, 1), (4, 1), (6, 1), (8, 1), (8, 0), (7, 0), (7, 2), (7, 3), (5, 3), (6, 4), (6, 5), (6, 8), (8, 7), (10, 1)], (1, 14): [(1, 14), (1, 13), (0, 11), (0, 6), (1, 4), (0, 3), (2, 3), (3, 3), (3, 1), (4, 0), (5, 1), (6, 1), (6, 2), (7, 2), (8, 2), (9, 1), (9, 3), (6, 3), (4, 3), (4, 6), (4, 7), (2, 8), (2, 10), (4, 10), (4, 11), (3, 11), (3, 12), (2, 12), (4, 12), (7, 12), (7, 11), (7, 9), (6, 9), (5, 7), (6, 6), (7, 6), (9, 5), (12, 4), (14, 4), (14, 5), (14, 8), (11, 7), (12, 10), (13, 13), (10, 14), (9, 11), (8, 13), (5, 14)], (3, 14): [(3, 14), (1, 12), (1, 10), (3, 9), (5, 11), (9, 11), (10, 10), (10, 9), (12, 9), (13, 9), (13, 8), (12, 7), (10, 7), (9, 7), (9, 6), (10, 5), (10, 3), (9, 3), (8, 3), (7, 4), (5, 4), (6, 4), (6, 5), (6, 7), (5, 7), (1, 6), (1, 3), (1, 1), (2, 1), (0, 2), (4, 2), (7, 1), (9, 2), (11, 2), (12, 1), (14, 1), (13, 2), (14, 4), (13, 12)], (11, 4): [(11, 4), (11, 5), (10, 6), (13, 6), (14, 8), (12, 10), (10, 10), (9, 10), (9, 11), (11, 11), (11, 14), (8, 14), (3, 14), (3, 13), (3, 11), (5, 11), (7, 8), (7, 3), (14, 3), (14, 2), (13, 1), (10, 2), (9, 2), (8, 2), (7, 2), (6, 1), (2, 0), (2, 4), (2, 5), (1, 5), (3, 5), (4, 6), (3, 7), (0, 9), (0, 11), (1, 14), (14, 14)], (8, 6): [(8, 6), (7, 7), (9, 7), (10, 8), (10, 9), (6, 10), (8, 10), (11, 10), (11, 11), (13, 14), (10, 14), (9, 13), (9, 12), (7, 12), (6, 14), (1, 14), (0, 13), (0, 10), (0, 7), (2, 6), (0, 6), (0, 2), (0, 4), (3, 4), (4, 3), (6, 2), (8, 0), (11, 3), (13, 4), (13, 6), (12, 8), (12, 9), (14, 9), (14, 0)], (5, 8): [(5, 8), (5, 9), (4, 9), (5, 11), (4, 13), (2, 13), (2, 12), (1, 12), (1, 14), (8, 14), (6, 13), (7, 13), (9, 12), (13, 12), (12, 12), (11, 12), (11, 10), (14, 10), (13, 8), (12, 9), (9, 9), (9, 10), (7, 10), (6, 9), (6, 5), (7, 3), (9, 3), (10, 2), (11, 2), (12, 3), (11, 4), (11, 6), (10, 6), (9, 6), (11, 7), (13, 6), (14, 5), (14, 2), (13, 1), (8, 1), (7, 2), (5, 2), (5, 1), (0, 1), (0, 5), (1, 4), (2, 3), (2, 4), (2, 5), (4, 5), (4, 7), (2, 7)], (9, 14): [(9, 14), (9, 14), (12, 14), (11, 12), (11, 11), (13, 11), (13, 10), (13, 12), (14, 12), (14, 5), (14, 1), (13, 1), (13, 3), (12, 4), (11, 6), (11, 7), (12, 7), (10, 8), (7, 8), (8, 6), (9, 5), (6, 0), (0, 0), (2, 1), (3, 3), (3, 4), (4, 4), (4, 7), (3, 7), (1, 11), (1, 12), (2, 13), (3, 13), (7, 12), (8, 11), (8, 10)], (6, 12): [(6, 12), (6, 12), (6, 9), (5, 9), (4, 8), (3, 9), (2, 10), (0, 10), (1, 11), (3, 12), (2, 14), (1, 14), (7, 14), (9, 14), (12, 14), (12, 13), (11, 10), (9, 10), (8, 11), (8, 5), (7, 7), (1, 7), (0, 6), (0, 5), (2, 5), (3, 3), (4, 1), (3, 0), (8, 0), (9, 2), (11, 3), (13, 2), (14, 2), (14, 5), (14, 4), (13, 4), (12, 5), (11, 6), (10, 6), (10, 8), (10, 11), (14, 11)], (1, 8): [(1, 8), (2, 8), (4, 8), (4, 7), (5, 7), (8, 7), (7, 5), (7, 1), (4, 1), (4, 3), (5, 3), (3, 3), (0, 2), (2, 5), (0, 9), (0, 13), (1, 14), (5, 14), (2, 13), (2, 11), (2, 10), (4, 10), (5, 10), (5, 11), (9, 11), (8, 13), (10, 14), (11, 13), (14, 14), (13, 14), (13, 12), (14, 10), (13, 10), (12, 10), (10, 9), (11, 4), (10, 4), (10, 3), (14, 0)], (13, 14): [(13, 14), (14, 14), (13, 13), (13, 12), (13, 11), (14, 11), (13, 10), (13, 7), (13, 6), (14, 4), (13, 3), (11, 1), (5, 1), (1, 1), (1, 5), (0, 5), (0, 7), (2, 8), (2, 10), (1, 11), (1, 14), (4, 14), (5, 14), (5, 11), (6, 10), (5, 9), (5, 8), (7, 7), (7, 6), (6, 4), (4, 4), (2, 5), (9, 5), (10, 6), (11, 7), (9, 10), (8, 12)], (8, 8): [(8, 8), (8, 6), (9, 6), (9, 7), (11, 7), (12, 7), (12, 10), (1, 12), (0, 14), (0, 10), (0, 8), (0, 0), (1, 1), (2, 1), (3, 4), (1, 5), (1, 7), (1, 8), (2, 9), (6, 9), (5, 7), (5, 5), (5, 3), (5, 2), (6, 0), (8, 1), (8, 0), (10, 0), (11, 2), (11, 4), (11, 5), (14, 6), (13, 6), (13, 1)], (2, 11): [(2, 11), (2, 11), (4, 10), (4, 6), (2, 6), (1, 6), (1, 5), (1, 3), (2, 1), (2, 0), (3, 0), (4, 0), (6, 2), (5, 2), (5, 3), (4, 3), (4, 4), (4, 5), (5, 5), (6, 6), (8, 6), (9, 6), (9, 4), (9, 3), (8, 7), (6, 8), (0, 8), (0, 12), (0, 13), (3, 14), (5, 14), (7, 14), (6, 12), (8, 9), (12, 10), (13, 8), (12, 6), (13, 5), (13, 3), (12, 1)], (3, 10): [(3, 10), (4, 12), (4, 13), (2, 12), (0, 6), (2, 5), (3, 5), (3, 4), (3, 1), (2, 1), (1, 1), (1, 0), (1, 2), (6, 2), (6, 0), (6, 7), (5, 9), (7, 9), (8, 8), (7, 6), (6, 6), (6, 5), (7, 4), (8, 4), (10, 4), (11, 1), (12, 0), (14, 2), (14, 3), (14, 6), (13, 6), (12, 7), (12, 8), (10, 9), (11, 10), (9, 11), (9, 12), (8, 12), (10, 14), (11, 14), (12, 14), (12, 13), (13, 13), (14, 14)], (0, 9): [(0, 9), (0, 10), (1, 7), (1, 6), (0, 5), (0, 4), (2, 4), (4, 1), (5, 2), (6, 3), (7, 0), (12, 0), (11, 1), (10, 3), (11, 4), (14, 4), (14, 5), (12, 6), (11, 7), (10, 7), (8, 7), (7, 7), (7, 8), (9, 9), (11, 8), (13, 8), (11, 10), (7, 11), (8, 12), (8, 13), (3, 14), (4, 14), (4, 12), (4, 9)], (4, 5): [(4, 5), (4, 4), (5, 4), (6, 4), (7, 4), (8, 2), (9, 1), (10, 2), (13, 1), (14, 5), (9, 5), (10, 7), (10, 8), (13, 9), (13, 12), (12, 12), (11, 12), (10, 13), (9, 11), (7, 11), (5, 10), (3, 10), (3, 12), (5, 12), (5, 13), (1, 14), (2, 8), (1, 7), (1, 4), (1, 2), (0, 3), (0, 0), (4, 0), (3, 1), (5, 1), (5, 6)], (11, 12): [(11, 12), (11, 14), (9, 14), (8, 12), (8, 9), (11, 9), (14, 8), (13, 4), (8, 5), (9, 4), (10, 3), (11, 2), (9, 2), (10, 1), (9, 1), (8, 0), (8, 1), (6, 1), (4, 1), (4, 2), (4, 3), (0, 4), (0, 6), (3, 6), (3, 8), (6, 8), (5, 11), (3, 11), (6, 14)], (1, 2): [(1, 2), (0, 1), (2, 0), (4, 1), (3, 3), (0, 4), (0, 5), (7, 5), (9, 4), (11, 4), (11, 2), (10, 2), (12, 2), (13, 2), (13, 3), (14, 3), (14, 5), (13, 8), (12, 10), (9, 8), (8, 8), (7, 10), (6, 11), (3, 11), (3, 9), (0, 12), (8, 12), (7, 13), (7, 14), (9, 14)], (11, 6): [(11, 6), (10, 4), (8, 4), (8, 5), (8, 6), (6, 6), (6, 9), (6, 11), (5, 13), (1, 13), (1, 14), (0, 11), (4, 10), (3, 7), (0, 7), (1, 5), (1, 4), (2, 4), (4, 3), (4, 1), (3, 1), (2, 0), (1, 0), (1, 1), (1, 2), (2, 2), (0, 1), (8, 1), (14, 0), (13, 5), (12, 7), (11, 11), (10, 12), (9, 13), (7, 13), (7, 14), (8, 14), (11, 13)], (5, 12): [(5, 12), (5, 13), (4, 13), (3, 13), (2, 12), (2, 10), (3, 10), (4, 10), (6, 9), (7, 8), (8, 7), (8, 6), (6, 6), (5, 6), (3, 5), (3, 4), (4, 2), (0, 2), (0, 6), (0, 7), (0, 8), (0, 13), (12, 14), (14, 12), (13, 10), (13, 8), (14, 7), (13, 5), (13, 4), (13, 2), (14, 2), (14, 3), (10, 3), (10, 2), (11, 1), (9, 0), (7, 3), (7, 4), (11, 5), (11, 6), (11, 7), (9, 7), (10, 8)], (14, 12): [(14, 12), (13, 14), (11, 14), (10, 14), (9, 12), (11, 12), (12, 12), (13, 11), (13, 8), (14, 3), (14, 2), (14, 1), (14, 0), (12, 0), (10, 1), (11, 2), (11, 3), (11, 4), (8, 3), (8, 2), (7, 3), (5, 3), (4, 3), (4, 1), (4, 0), (5, 0), (2, 0), (0, 0), (0, 8), (1, 9), (2, 9), (5, 9), (6, 9), (5, 12), (6, 13), (7, 5), (8, 6), (3, 6)], (0, 2): [(0, 2), (0, 0), (3, 0), (2, 0), (2, 2), (2, 3), (0, 3), (0, 6), (3, 6), (4, 6), (4, 4), (5, 3), (6, 4), (7, 5), (8, 2), (12, 2), (13, 3), (13, 5), (14, 5), (14, 1), (10, 1), (11, 1), (11, 4), (9, 4), (9, 5), (9, 6), (5, 7), (3, 7), (1, 12), (3, 13), (4, 13), (5, 12), (5, 11), (5, 10), (6, 9), (6, 10), (7, 10), (8, 12), (9, 12), (11, 11), (14, 10), (14, 11), (14, 12), (12, 14)], (2, 3): [(2, 3), (2, 1), (1, 2), (0, 4), (2, 4), (1, 11), (1, 12), (2, 12), (4, 13), (4, 12), (4, 10), (5, 8), (2, 8), (3, 8), (3, 7), (4, 6), (3, 5), (3, 4), (9, 5), (7, 5), (7, 3), (5, 3), (5, 1), (5, 0), (6, 0), (9, 1), (12, 0), (13, 4), (12, 6), (13, 7), (14, 8), (14, 10), (12, 11), (11, 9), (7, 10), (9, 11), (8, 14), (6, 14), (5, 14), (13, 14)], (7, 0): [(7, 0), (5, 1), (4, 1), (1, 2), (1, 3), (3, 4), (1, 7), (0, 7), (2, 9), (2, 10), (3, 10), (3, 11), (1, 11), (2, 12), (5, 12), (6, 10), (5, 8), (9, 8), (10, 7), (11, 5), (11, 1), (12, 0), (13, 0), (14, 0), (14, 1), (14, 4), (14, 6), (13, 9), (11, 9), (10, 12), (8, 13), (12, 14)], (9, 11): [(9, 11), (11, 12), (12, 12), (13, 13), (13, 11), (12, 11), (10, 9), (11, 5), (14, 7), (14, 8), (13, 8), (11, 8), (9, 8), (9, 9), (6, 10), (4, 11), (3, 11), (3, 8), (1, 7), (1, 5), (2, 5), (3, 4), (3, 3), (5, 3), (5, 2), (5, 0), (6, 1), (8, 0), (2, 0), (1, 0), (0, 0), (2, 1), (1, 2), (0, 3), (0, 13)], (0, 6): [(0, 6), (1, 6), (3, 6), (4, 7), (6, 7), (6, 8), (8, 8), (7, 9), (7, 10), (3, 11), (2, 11), (1, 11), (0, 10), (0, 4), (0, 2), (0, 0), (0, 1), (2, 1), (2, 2), (5, 5), (7, 6), (7, 4), (8, 4), (9, 4), (10, 4), (11, 4), (12, 5), (11, 5), (11, 6), (11, 9), (9, 9), (10, 10), (12, 10), (13, 9), (14, 10), (14, 11), (13, 12), (14, 14), (14, 3), (13, 4), (13, 0)], (9, 6): [(9, 6), (8, 5), (7, 6), (6, 6), (5, 4), (4, 5), (3, 5), (2, 5), (2, 6), (3, 6), (2, 7), (1, 7), (0, 6), (0, 8), (3, 8), (2, 9), (2, 13), (4, 12), (4, 14), (6, 14), (8, 12), (8, 11), (9, 11), (9, 12), (10, 12), (13, 11), (14, 12), (14, 10), (14, 9), (14, 7), (11, 5), (13, 5), (14, 4), (13, 1), (12, 1), (12, 0), (8, 0), (7, 1), (7, 3), (8, 3), (6, 2), (5, 1), (4, 2), (3, 3), (3, 0), (2, 0), (0, 3)], (2, 13): [(2, 13), (2, 13), (4, 13), (6, 13), (7, 14), (14, 13), (5, 12), (6, 12), (7, 10), (6, 9), (7, 9), (11, 9), (14, 9), (14, 8), (13, 8), (12, 4), (14, 2), (10, 2), (10, 4), (10, 6), (7, 6), (7, 5), (3, 5), (2, 4), (1, 5), (1, 6), (2, 6), (2, 10), (2, 12), (0, 12), (0, 7), (0, 1), (1, 0), (2, 0), (3, 0), (4, 0), (5, 0), (4, 1), (6, 1)], (12, 6): [(12, 6), (12, 6), (13, 6), (13, 4), (13, 2), (14, 1), (14, 0), (11, 2), (9, 2), (8, 2), (8, 1), (8, 0), (7, 0), (4, 1), (2, 2), (1, 2), (1, 4), (0, 4), (0, 6), (1, 6), (2, 6), (3, 4), (6, 4), (8, 3), (9, 4), (9, 7), (10, 8), (11, 8), (14, 10), (13, 12), (9, 13), (6, 14), (1, 13), (2, 9), (3, 9), (4, 7)], (10, 0): [(10, 0), (13, 0), (12, 3), (12, 9), (13, 9), (14, 10), (14, 12), (11, 12), (10, 11), (4, 11), (3, 11), (2, 10), (2, 13), (2, 12), (1, 12), (0, 11), (0, 9), (3, 7), (4, 7), (4, 3), (0, 1), (1, 1), (3, 1), (3, 0), (8, 0), (9, 3), (9, 4), (7, 4), (6, 4), (7, 5), (6, 8), (7, 9), (7, 12), (8, 12), (9, 12), (13, 14)], (6, 13): [(6, 13), (7, 12), (5, 11), (5, 10), (4, 10), (3, 10), (3, 11), (1, 10), (1, 6), (2, 5), (3, 5), (0, 3), (1, 3), (3, 2), (3, 1), (1, 0), (2, 0), (4, 0), (5, 0), (6, 0), (9, 0), (10, 2), (11, 3), (12, 4), (11, 7), (9, 5), (9, 4), (8, 4), (5, 5), (7, 6), (7, 7), (6, 7), (8, 8), (8, 9), (11, 10), (12, 10), (10, 11), (12, 14), (3, 14), (1, 14), (0, 13)], (7, 8): [(7, 8), (8, 6), (9, 7), (11, 10), (14, 10), (13, 14), (10, 14), (8, 13), (8, 12), (8, 11), (7, 11), (6, 14), (2, 14), (0, 13), (5, 13), (6, 13), (6, 12), (5, 12), (4, 8), (5, 7), (1, 5), (0, 1), (3, 1), (5, 1), (9, 0), (9, 4), (10, 3), (11, 1), (13, 2)], (9, 9): [(9, 9), (9, 11), (10, 11), (12, 11), (7, 11), (4, 8), (6, 7), (9, 6), (9, 5), (10, 4), (10, 6), (11, 6), (14, 2), (13, 1), (11, 1), (9, 0), (7, 3), (5, 5), (5, 4), (5, 2), (5, 0), (5, 1), (4, 1), (3, 1), (2, 3), (2, 4), (1, 7), (2, 9), (2, 11), (4, 12), (3, 14), (6, 14), (10, 14)], (8, 1): [(8, 1), (10, 1), (6, 2), (6, 0), (5, 0), (5, 1), (4, 5), (9, 5), (10, 5), (11, 3), (14, 4), (14, 5), (14, 10), (14, 13), (10, 13), (7, 13), (6, 11), (6, 12), (4, 12), (3, 12), (3, 13), (2, 13), (0, 13), (0, 14), (0, 9), (1, 8), (0, 4), (2, 5), (2, 7), (4, 7), (3, 9), (4, 10), (6, 10), (6, 9), (7, 10), (10, 9)], (3, 13): [(3, 13), (2, 13), (1, 12), (3, 9), (3, 8), (3, 6), (1, 5), (0, 6), (0, 3), (1, 2), (1, 1), (5, 5), (7, 5), (6, 6), (6, 7), (5, 8), (5, 9), (5, 11), (7, 12), (8, 12), (11, 12), (11, 9), (12, 8), (10, 1), (10, 0), (9, 0), (9, 4), (9, 3), (11, 3), (12, 4), (14, 4), (14, 5), (14, 7), (14, 13), (11, 13), (9, 14), (6, 13), (4, 14)], (13, 7): [(13, 7), (13, 6), (13, 9), (13, 10), (12, 10), (14, 10), (14, 13), (9, 11), (8, 12), (7, 13), (5, 13), (6, 11), (6, 8), (5, 8), (8, 8), (9, 8), (11, 8), (11, 1), (9, 1), (8, 4), (4, 6), (3, 8), (3, 7), (3, 5), (3, 4), (4, 2), (5, 0), (1, 0), (1, 2), (0, 6), (1, 8), (1, 10), (2, 10), (4, 10), (2, 12), (0, 12), (0, 13)], (5, 0): [(5, 0), (4, 1), (3, 2), (4, 3), (1, 3), (0, 4), (0, 5), (3, 5), (4, 7), (1, 7), (2, 8), (2, 9), (3, 10), (3, 12), (2, 12), (1, 11), (0, 12), (1, 14), (3, 13), (5, 14), (7, 13), (8, 12), (11, 13), (14, 14), (14, 11), (11, 7), (9, 6), (7, 6), (7, 8), (6, 4), (9, 0), (14, 0), (14, 1)], (0, 14): [(0, 14), (0, 13), (1, 9), (2, 8), (2, 7), (2, 5), (2, 4), (3, 3), (5, 3), (6, 3), (8, 4), (8, 12), (7, 6), (4, 1), (4, 5), (3, 9), (4, 9), (6, 9), (6, 11), (5, 12), (5, 14), (7, 14), (10, 14), (13, 13), (13, 10), (13, 8), (14, 6), (13, 6), (11, 4), (10, 0), (10, 2), (9, 2), (14, 2)], (7, 1): [(7, 1), (7, 1), (1, 0), (1, 1), (0, 4), (1, 4), (1, 7), (0, 13), (3, 13), (2, 12), (2, 10), (2, 9), (2, 8), (5, 8), (5, 10), (6, 12), (7, 12), (7, 13), (7, 10), (6, 6), (4, 6), (4, 5), (5, 4), (6, 4), (6, 5), (8, 6), (10, 6), (10, 5), (11, 6), (10, 7), (9, 8), (11, 8), (14, 8), (14, 7), (12, 10), (11, 13), (10, 13), (13, 14)], (1, 0): [(1, 0), (0, 2), (0, 7), (2, 10), (1, 10), (1, 14), (0, 13), (2, 13), (3, 13), (4, 13), (5, 11), (5, 6), (5, 5), (3, 5), (4, 5), (4, 4), (5, 4), (5, 2), (5, 0), (7, 1), (6, 4), (10, 5), (12, 3), (12, 1), (14, 0), (14, 2), (13, 3), (13, 6), (13, 7), (12, 8), (13, 9), (12, 10), (9, 10), (10, 12), (9, 13), (7, 14), (5, 14), (12, 14), (13, 14), (13, 13), (14, 14)], (1, 12): [(1, 12), (1, 11), (0, 11), (4, 13), (5, 13), (7, 12), (12, 14), (13, 12), (11, 10), (9, 11), (8, 9), (4, 9), (6, 8), (6, 7), (6, 4), (4, 4), (2, 4), (1, 5), (1, 6), (1, 7), (0, 8), (0, 2), (4, 2), (3, 0), (6, 0), (8, 0), (12, 1), (12, 4), (14, 4), (13, 6), (12, 6), (9, 7), (8, 5), (10, 3)], (4, 2): [(4, 2), (5, 2), (6, 2), (9, 2), (9, 0), (12, 1), (13, 1), (11, 3), (10, 3), (11, 4), (8, 6), (6, 6), (5, 7), (4, 4), (4, 3), (4, 0), (3, 1), (2, 1), (2, 3), (3, 5), (3, 11), (1, 11), (0, 11), (3, 14), (5, 14), (6, 14), (6, 12), (7, 12), (7, 11), (5, 11), (9, 11), (10, 11), (12, 12), (12, 13), (14, 13), (14, 10), (12, 8), (9, 8), (9, 7)], (14, 1): [(14, 1), (13, 3), (13, 4), (12, 4), (11, 0), (6, 1), (5, 1), (5, 2), (7, 3), (6, 6), (5, 6), (2, 7), (2, 5), (3, 5), (4, 4), (3, 0), (1, 1), (0, 4), (0, 6), (0, 8), (1, 9), (1, 14), (0, 13), (2, 12), (5, 11), (7, 14), (7, 12), (7, 11), (7, 10), (9, 10), (10, 7), (11, 8), (11, 9), (13, 10)], (12, 10): [(12, 10), (11, 11), (11, 12), (10, 12), (6, 14), (4, 13), (2, 14), (0, 11), (2, 10), (2, 8), (0, 6), (2, 5), (2, 1), (0, 2), (1, 3), (3, 3), (3, 2), (8, 2), (8, 1), (10, 0), (13, 2), (14, 1), (14, 4), (12, 4), (10, 6), (7, 6), (7, 5), (6, 4), (5, 5), (5, 9), (5, 11), (6, 11), (8, 11), (13, 11), (13, 8)], (0, 4): [(0, 4), (0, 4), (1, 3), (1, 2), (2, 0), (5, 0), (7, 1), (10, 0), (13, 0), (12, 4), (11, 4), (11, 7), (13, 7), (14, 6), (12, 9), (10, 9), (10, 8), (8, 9), (7, 10), (7, 12), (10, 12), (11, 12), (11, 13), (14, 14), (10, 13), (9, 13), (7, 14), (6, 13), (4, 12), (3, 13), (1, 14), (0, 8), (0, 7), (2, 7), (8, 6)], (0, 0): [(0, 0), (3, 1), (3, 3), (3, 5), (4, 6), (5, 4), (5, 0), (6, 1), (10, 1), (9, 1), (8, 2), (7, 3), (6, 3), (6, 4), (6, 7), (9, 7), (13, 7), (14, 7), (14, 6), (14, 4), (13, 5), (10, 10), (11, 11), (10, 12), (7, 12), (6, 11), (5, 11), (5, 12), (5, 13), (5, 9), (3, 9), (3, 11), (1, 14), (0, 13), (0, 7)], (6, 0): [(6, 0), (5, 0), (2, 1), (2, 2), (0, 1), (1, 5), (1, 9), (2, 9), (3, 9), (3, 8), (3, 11), (1, 12), (0, 12), (0, 13), (7, 13), (6, 14), (6, 10), (6, 5), (6, 4), (8, 5), (9, 5), (11, 5), (10, 6), (9, 7), (10, 9), (12, 10), (12, 13), (10, 12), (11, 12), (14, 11), (14, 7), (13, 8), (11, 2), (10, 3), (8, 2), (12, 0)], (10, 3): [(10, 3), (10, 1), (10, 0), (9, 0), (7, 0), (7, 1), (8, 1), (9, 2), (8, 3), (8, 4), (6, 4), (6, 5), (5, 5), (3, 6), (2, 6), (2, 10), (4, 9), (6, 8), (6, 7), (6, 10), (6, 12), (9, 10), (10, 8), (10, 6), (10, 5), (12, 4), (12, 3), (13, 2), (14, 0), (14, 3), (13, 5), (11, 7), (12, 8), (13, 10), (12, 12), (9, 14), (0, 14), (0, 10), (1, 10), (1, 9), (1, 2), (5, 1)], (8, 13): [(8, 13), (7, 14), (14, 13), (13, 13), (13, 12), (13, 11), (12, 10), (11, 8), (14, 8), (14, 7), (13, 7), (12, 5), (14, 2), (13, 3), (11, 3), (10, 3), (7, 3), (5, 2), (5, 0), (2, 0), (0, 0), (1, 1), (1, 2), (4, 4), (3, 5), (3, 6), (2, 6), (2, 7), (2, 9), (4, 9), (5, 8), (8, 7), (9, 7), (9, 8), (9, 11), (8, 10), (6, 10), (4, 12), (3, 10), (0, 9), (2, 14)], (4, 7): [(4, 7), (3, 6), (5, 6), (5, 5), (5, 2), (4, 2), (4, 0), (0, 0), (0, 2), (2, 3), (3, 3), (3, 8), (0, 9), (1, 11), (0, 14), (0, 13), (1, 13), (2, 13), (5, 14), (6, 13), (7, 13), (9, 13), (13, 13), (13, 12), (13, 8), (12, 8), (10, 9), (9, 10), (8, 11), (7, 11), (6, 11), (4, 11), (4, 10), (5, 9), (6, 9), (6, 8), (8, 7), (8, 5), (8, 4), (8, 2), (9, 1), (9, 0), (12, 2), (11, 4), (11, 5)], (14, 10): [(14, 10), (14, 12), (14, 14), (12, 13), (12, 11), (11, 11), (11, 9), (12, 7), (13, 8), (13, 4), (11, 2), (10, 3), (6, 4), (5, 5), (4, 5), (2, 5), (5, 7), (8, 6), (9, 7), (9, 10), (7, 10), (7, 9), (6, 11), (5, 11), (4, 11), (5, 12), (10, 12), (9, 12), (7, 13), (6, 13), (5, 13), (1, 13), (1, 7), (1, 6), (0, 6), (0, 4), (1, 4), (0, 1), (2, 1), (3, 2), (5, 3), (6, 2), (7, 2), (7, 0), (9, 1), (14, 0)], (5, 5): [(5, 5), (5, 5), (3, 7), (0, 6), (0, 3), (2, 1), (3, 0), (4, 0), (5, 0), (5, 1), (7, 1), (7, 3), (7, 4), (8, 2), (9, 1), (9, 3), (8, 4), (12, 4), (12, 1), (13, 2), (14, 6), (12, 7), (13, 8), (14, 10), (11, 10), (12, 14), (10, 14), (10, 12), (6, 12), (4, 12), (5, 11), (2, 10), (3, 10), (4, 14), (1, 13)], (6, 1): [(6, 1), (4, 2), (1, 0), (0, 6), (3, 6), (3, 4), (6, 5), (7, 3), (7, 2), (9, 0), (12, 3), (14, 3), (9, 6), (10, 6), (11, 6), (12, 8), (13, 9), (13, 14), (13, 13), (12, 12), (12, 13), (9, 13), (8, 12), (6, 12), (7, 11), (7, 10), (7, 8), (6, 9), (5, 9), (4, 8), (3, 8), (3, 10), (2, 11)], (10, 10): [(10, 10), (10, 10), (10, 7), (9, 7), (8, 8), (8, 9), (6, 9), (7, 10), (8, 11), (9, 12), (10, 13), (10, 14), (12, 14), (14, 12), (14, 11), (13, 7), (12, 8), (12, 4), (14, 3), (9, 0), (11, 2), (11, 3), (11, 5), (10, 4), (7, 4), (6, 7), (5, 5), (5, 4), (3, 4), (3, 3), (2, 0), (0, 2), (0, 5), (2, 6), (2, 7), (1, 7), (4, 8), (3, 11), (1, 11), (0, 11), (5, 11), (6, 13)], (3, 6): [(3, 6), (3, 6), (3, 10), (4, 13), (5, 14), (7, 11), (8, 12), (11, 12), (11, 11), (12, 10), (12, 11), (14, 11), (14, 8), (14, 4), (12, 3), (13, 3), (14, 2), (14, 1), (12, 1), (10, 1), (10, 6), (8, 8), (7, 7), (7, 5), (6, 5), (6, 3), (4, 3), (4, 5), (2, 4), (0, 0), (7, 0), (7, 1)], (10, 4): [(10, 4), (10, 4), (11, 2), (10, 0), (12, 0), (13, 0), (13, 1), (14, 10), (14, 14), (10, 14), (11, 13), (10, 12), (11, 11), (11, 10), (12, 7), (7, 7), (7, 10), (5, 10), (5, 8), (1, 7), (2, 7), (3, 7), (4, 7), (4, 6), (4, 3), (8, 3), (8, 2), (6, 2), (7, 1), (8, 0), (1, 0), (0, 11), (0, 13), (2, 13), (5, 14)], (0, 13): [(0, 13), (0, 12), (3, 12), (4, 7), (4, 5), (5, 3), (6, 3), (7, 1), (8, 0), (2, 0), (2, 2), (2, 4), (0, 5), (1, 9), (2, 9), (2, 14), (3, 14), (7, 14), (6, 11), (8, 11), (14, 11), (14, 9), (12, 8), (13, 7), (13, 5), (13, 6), (9, 6), (11, 1), (13, 0), (13, 2)], (12, 1): [(12, 1), (14, 2), (12, 6), (11, 5), (10, 11), (9, 10), (8, 10), (8, 12), (9, 13), (7, 13), (5, 13), (3, 13), (1, 12), (0, 12), (0, 11), (3, 11), (6, 11), (6, 9), (4, 9), (4, 6), (1, 6), (2, 6), (3, 5), (4, 5), (4, 4), (6, 3), (6, 5), (6, 7), (8, 7), (10, 7), (10, 6), (9, 6), (8, 6), (8, 5), (9, 4), (9, 3), (10, 2), (8, 2), (9, 1), (4, 0), (2, 1), (0, 2)], (3, 7): [(3, 7), (4, 6), (5, 6), (5, 5), (8, 5), (8, 4), (7, 3), (9, 2), (10, 0), (12, 0), (12, 1), (12, 3), (14, 3), (13, 4), (11, 4), (12, 6), (12, 7), (13, 8), (14, 6), (14, 5), (14, 0), (3, 0), (2, 0), (3, 2), (1, 6), (1, 9), (1, 11), (1, 12), (0, 12), (1, 13), (5, 14), (6, 14), (6, 13), (6, 12), (5, 12), (5, 10), (4, 10), (6, 10), (9, 8), (11, 11), (10, 12), (8, 13), (14, 14)], (4, 9): [(4, 9), (1, 10), (0, 9), (1, 8), (0, 5), (0, 2), (1, 1), (1, 3), (2, 4), (3, 5), (3, 7), (4, 6), (10, 6), (8, 5), (8, 8), (11, 8), (11, 9), (10, 11), (11, 12), (13, 12), (14, 11), (14, 8), (13, 5), (12, 5), (12, 4), (10, 3), (11, 2), (10, 1), (4, 0), (4, 3), (5, 3), (6, 3), (6, 6), (6, 7), (6, 10), (5, 11), (3, 13), (2, 12), (0, 12), (0, 14), (7, 14)], (14, 14): [(14, 14), (13, 13), (11, 13), (11, 12), (9, 13), (8, 11), (5, 11), (4, 12), (3, 12), (0, 12), (0, 14), (2, 6), (3, 5), (3, 4), (4, 6), (4, 5), (5, 4), (8, 4), (10, 8), (13, 10), (13, 6), (14, 5), (14, 3), (14, 1), (13, 1), (12, 1), (12, 2), (10, 2), (10, 3), (11, 3), (11, 0), (8, 0), (7, 0), (1, 0), (0, 1), (0, 3)], (14, 2): [(14, 2), (14, 2), (13, 2), (12, 2), (7, 1), (6, 0), (3, 0), (2, 2), (4, 3), (5, 4), (2, 5), (1, 7), (2, 8), (3, 9), (5, 9), (5, 6), (9, 7), (10, 6), (11, 5), (9, 4), (10, 4), (10, 3), (11, 3), (14, 3), (12, 9), (12, 10), (12, 11), (14, 14), (11, 13), (8, 11), (5, 11), (4, 11), (1, 11), (0, 12), (0, 14), (2, 13), (3, 14)], (8, 14): [(8, 14), (8, 14), (7, 13), (6, 12), (1, 13), (1, 10), (0, 9), (1, 9), (2, 7), (3, 5), (3, 4), (1, 4), (2, 2), (2, 1), (3, 1), (4, 2), (7, 3), (6, 4), (6, 5), (5, 7), (9, 7), (9, 9), (10, 14), (10, 13), (14, 12), (13, 9), (12, 9), (14, 6), (14, 5), (14, 2), (13, 2), (13, 1), (10, 1), (11, 4)], (5, 3): [(5, 3), (4, 5), (2, 6), (1, 7), (1, 3), (0, 4), (0, 14), (1, 14), (1, 12), (2, 10), (3, 11), (5, 11), (6, 11), (6, 8), (7, 8), (7, 7), (8, 7), (8, 5), (11, 5), (11, 3), (11, 2), (11, 1), (10, 1), (8, 1), (8, 2), (6, 2), (5, 0), (13, 0), (12, 7), (13, 9), (13, 11), (10, 10), (9, 11), (7, 12), (6, 13), (6, 14), (9, 13), (9, 14), (11, 14)], (13, 13): [(13, 13), (11, 13), (11, 14), (8, 13), (6, 13), (7, 14), (3, 14), (0, 12), (0, 3), (0, 0), (8, 0), (9, 1), (9, 2), (9, 5), (11, 6), (12, 4), (14, 3), (14, 0), (13, 0), (13, 1), (12, 1), (11, 1), (11, 3), (10, 4), (9, 4), (6, 4), (5, 2), (5, 3), (5, 5), (5, 7), (4, 8), (4, 9), (3, 9), (3, 10), (2, 10), (6, 10), (7, 9), (10, 10), (10, 8), (11, 8), (14, 9)], (5, 2): [(5, 2), (5, 3), (4, 4), (4, 6), (4, 7), (5, 9), (2, 9), (0, 9), (0, 12), (1, 12), (1, 13), (2, 13), (6, 13), (13, 14), (13, 12), (10, 13), (9, 12), (10, 10), (8, 10), (8, 8), (9, 9), (11, 9), (11, 6), (12, 5), (11, 5), (9, 5), (8, 6), (7, 7), (6, 5), (7, 4), (7, 0), (14, 0), (14, 4), (10, 3), (9, 2), (8, 1), (2, 1), (2, 3), (0, 6)], (1, 3): [(1, 3), (0, 4), (4, 4), (6, 4), (8, 6), (8, 7), (7, 10), (10, 10), (9, 10), (9, 11), (8, 13), (7, 13), (0, 13), (3, 12), (2, 11), (3, 10), (5, 10), (5, 9), (4, 8), (3, 7), (2, 6), (2, 0), (5, 0), (6, 1), (6, 2), (7, 2), (7, 3), (10, 3), (12, 0), (12, 2), (14, 4), (14, 5), (13, 6), (12, 8), (12, 9), (12, 10), (12, 12), (12, 13), (11, 13), (14, 13), (14, 14)], (1, 1): [(1, 1), (2, 0), (3, 0), (2, 3), (1, 3), (2, 5), (3, 5), (2, 7), (1, 7), (0, 10), (3, 9), (5, 11), (6, 11), (5, 12), (8, 13), (7, 14), (10, 14), (13, 14), (12, 11), (11, 10), (9, 10), (9, 9), (9, 8), (5, 3), (11, 1), (11, 0), (12, 0), (12, 3), (14, 5), (14, 7), (14, 10)], (9, 1): [(9, 1), (10, 0), (7, 3), (7, 5), (5, 5), (5, 4), (4, 4), (3, 4), (2, 5), (1, 3), (0, 4), (0, 8), (0, 10), (3, 14), (7, 13), (9, 13), (12, 14), (14, 14), (14, 10), (13, 11), (11, 12), (10, 11), (9, 10), (9, 5), (11, 5), (12, 7), (10, 7), (10, 9), (7, 9), (8, 9), (8, 11), (6, 11), (4, 10), (4, 6), (4, 2), (3, 1)], (4, 12): [(4, 12), (4, 13), (3, 14), (2, 14), (5, 14), (7, 14), (10, 13), (13, 12), (14, 12), (12, 9), (11, 9), (9, 9), (9, 8), (6, 9), (1, 11), (0, 2), (2, 3), (1, 4), (1, 5), (2, 5), (2, 6), (3, 8), (4, 8), (5, 8), (5, 6), (4, 6), (4, 4), (4, 2), (4, 1), (6, 0), (7, 0), (11, 0), (12, 2), (9, 3), (10, 5), (9, 6), (13, 6), (14, 5)], (0, 12): [(0, 12), (0, 10), (1, 7), (2, 7), (2, 6), (1, 1), (3, 1), (5, 3), (7, 4), (6, 2), (6, 0), (7, 0), (9, 1), (10, 1), (10, 2), (12, 3), (14, 9), (14, 13), (12, 14), (12, 12), (11, 10), (11, 7), (9, 8), (6, 8), (6, 6), (4, 6), (4, 10), (3, 13), (5, 13), (5, 11), (8, 11), (9, 14)], (10, 8): [(10, 8), (10, 9), (12, 11), (13, 11), (14, 11), (13, 12), (14, 14), (9, 14), (7, 14), (6, 13), (5, 11), (3, 12), (3, 10), (0, 9), (8, 10), (7, 6), (7, 8), (6, 8), (5, 7), (5, 6), (4, 6), (2, 6), (2, 5), (1, 1), (3, 1), (4, 0), (6, 4), (7, 2), (6, 1), (7, 0), (8, 1), (9, 1), (9, 4), (10, 6), (12, 7), (11, 8), (14, 8)], (14, 11): [(14, 11), (14, 7), (13, 7), (13, 5), (12, 5), (12, 4), (11, 4), (11, 0), (12, 2), (11, 2), (9, 2), (10, 3), (10, 4), (10, 5), (9, 5), (8, 5), (9, 7), (10, 8), (11, 9), (10, 11), (7, 11), (6, 10), (7, 14), (5, 14), (5, 13), (4, 12), (2, 12), (1, 11), (1, 10), (1, 7), (1, 5), (1, 3), (1, 4), (2, 4), (4, 4), (4, 8), (5, 2), (5, 1)], (8, 10): [(8, 10), (8, 8), (7, 5), (7, 3), (6, 3), (4, 3), (3, 3), (2, 1), (5, 2), (5, 1), (6, 1), (8, 1), (10, 2), (13, 2), (14, 3), (14, 6), (13, 5), (11, 5), (10, 5), (9, 5), (9, 6), (10, 6), (12, 7), (13, 8), (14, 10), (13, 14), (11, 13), (6, 12), (5, 13), (4, 14), (0, 12), (2, 8), (5, 8), (4, 7), (3, 7), (1, 6)], (6, 9): [(6, 9), (4, 9), (4, 10), (3, 10), (2, 10), (0, 10), (3, 12), (4, 13), (3, 14), (5, 14), (10, 12), (9, 10), (8, 9), (10, 8), (10, 7), (9, 6), (7, 6), (7, 4), (6, 5), (4, 6), (4, 5), (2, 5), (3, 4), (0, 2), (2, 1), (4, 2), (5, 0), (6, 1), (6, 2), (7, 2), (8, 1), (11, 1), (11, 0), (10, 2), (14, 4), (12, 5), (12, 6), (13, 7), (11, 10)], (4, 10): [(4, 10), (4, 12), (5, 12), (5, 14), (3, 13), (2, 14), (2, 12), (2, 9), (2, 8), (3, 6), (5, 8), (7, 9), (7, 7), (8, 7), (10, 8), (12, 8), (14, 6), (11, 5), (12, 5), (12, 3), (8, 3), (9, 2), (6, 1), (6, 0), (1, 0), (2, 0), (2, 2), (1, 4), (0, 6), (0, 8), (0, 10), (0, 11), (11, 11), (11, 13), (10, 14), (13, 14), (14, 11), (14, 10)], (2, 10): [(2, 10), (2, 10), (3, 11), (5, 11), (5, 8), (4, 8), (4, 5), (4, 4), (6, 4), (6, 5), (6, 6), (8, 6), (9, 7), (8, 8), (8, 13), (6, 13), (1, 13), (0, 13), (0, 9), (0, 6), (2, 6), (3, 6), (3, 0), (0, 0), (1, 1), (1, 2), (2, 2), (2, 3), (5, 3), (7, 3), (7, 2), (6, 1), (8, 1), (9, 2), (10, 4), (13, 4), (13, 5), (12, 6), (11, 7), (11, 9), (12, 12), (14, 11), (13, 14)], (8, 11): [(8, 11), (8, 12), (6, 13), (5, 13), (3, 13), (0, 11), (1, 7), (0, 5), (1, 5), (2, 5), (2, 2), (3, 1), (4, 0), (4, 3), (5, 2), (5, 1), (6, 1), (7, 2), (7, 3), (8, 4), (9, 6), (8, 6), (7, 7), (6, 7), (5, 6), (5, 5), (4, 5), (4, 7), (4, 9), (4, 10), (7, 9), (10, 8), (10, 13), (9, 14), (13, 14), (14, 10), (14, 5), (14, 1), (12, 0), (10, 0), (9, 0), (10, 1), (10, 2), (9, 2)], (2, 0): [(2, 0), (0, 0), (4, 1), (5, 2), (5, 3), (4, 3), (1, 4), (2, 6), (0, 8), (0, 10), (2, 10), (1, 11), (3, 11), (2, 12), (2, 13), (3, 14), (7, 13), (8, 12), (8, 10), (6, 9), (7, 7), (9, 8), (8, 4), (9, 0), (12, 0), (14, 0), (13, 1), (11, 2), (11, 3), (12, 5), (13, 5), (13, 8), (13, 9), (12, 9), (10, 12), (11, 12), (11, 13), (11, 14), (14, 14), (14, 13), (13, 11)], (5, 4): [(5, 4), (5, 3), (4, 1), (4, 0), (7, 0), (6, 1), (8, 2), (8, 3), (8, 4), (10, 5), (9, 6), (6, 6), (5, 8), (2, 7), (1, 2), (1, 5), (1, 6), (1, 7), (1, 14), (2, 13), (3, 14), (4, 14), (5, 13), (6, 12), (5, 12), (5, 11), (7, 10), (8, 10), (9, 11), (9, 12), (11, 11), (11, 13), (14, 14), (13, 10), (13, 8), (12, 8), (10, 9), (9, 7), (12, 7), (13, 7), (13, 6), (14, 6), (12, 2), (11, 2)], (12, 14): [(12, 14), (9, 13), (9, 12), (8, 12), (6, 14), (5, 14), (3, 13), (4, 11), (5, 10), (4, 10), (0, 10), (1, 11), (2, 11), (2, 9), (2, 5), (3, 4), (1, 4), (2, 2), (2, 0), (4, 0), (5, 0), (5, 1), (7, 1), (8, 0), (8, 1), (13, 2), (11, 4), (10, 6), (9, 5), (9, 3), (8, 4), (7, 4), (6, 3), (4, 3), (5, 6), (6, 6), (6, 7), (6, 8), (6, 9), (6, 10), (9, 8), (12, 8), (13, 10)], (11, 8): [(11, 8), (11, 6), (9, 5), (8, 4), (8, 7), (8, 8), (7, 8), (9, 9), (10, 9), (9, 10), (8, 11), (12, 11), (14, 10), (14, 14), (13, 13), (11, 13), (9, 13), (10, 12), (7, 12), (6, 11), (6, 14), (4, 13), (3, 12), (3, 10), (4, 10), (4, 9), (2, 9), (2, 10), (1, 8), (1, 4), (1, 3), (0, 2), (1, 0), (2, 0), (3, 3), (3, 4), (3, 5), (5, 2), (6, 1), (9, 1), (11, 1)], (3, 2): [(3, 2), (4, 0), (4, 1), (2, 1), (2, 3), (1, 7), (0, 12), (4, 13), (5, 11), (5, 9), (7, 9), (7, 7), (5, 5), (6, 5), (7, 5), (9, 5), (9, 8), (9, 10), (10, 10), (12, 11), (12, 12), (11, 13), (13, 13), (12, 14), (14, 14), (14, 11), (14, 9), (13, 8), (12, 6), (12, 5), (10, 4), (8, 3), (9, 2), (9, 0), (12, 0), (13, 2), (14, 4)], (13, 10): [(13, 10), (13, 7), (11, 7), (11, 8), (9, 9), (6, 9), (6, 7), (5, 6), (4, 6), (4, 5), (6, 4), (8, 4), (9, 5), (10, 3), (10, 2), (9, 1), (11, 1), (11, 0), (11, 4), (13, 4), (14, 5), (14, 12), (9, 13), (7, 12), (5, 12), (1, 14), (0, 8), (0, 7), (2, 7), (2, 6), (2, 3), (2, 0), (6, 0), (0, 4)], (1, 6): [(1, 6), (3, 6), (6, 6), (8, 6), (9, 5), (10, 6), (10, 7), (12, 8), (14, 9), (14, 12), (12, 12), (11, 11), (11, 10), (12, 10), (12, 14), (8, 14), (7, 11), (4, 8), (3, 9), (2, 11), (4, 12), (3, 14), (1, 14), (0, 3), (7, 2), (7, 1), (7, 0), (10, 0), (10, 1), (9, 1), (9, 2), (8, 2), (10, 2), (12, 0), (14, 0), (13, 1)], (11, 9): [(11, 9), (10, 8), (9, 7), (9, 6), (9, 3), (11, 5), (11, 4), (12, 3), (14, 4), (14, 2), (13, 1), (14, 1), (14, 0), (11, 0), (5, 0), (4, 2), (4, 5), (7, 5), (7, 7), (8, 7), (5, 7), (5, 9), (3, 9), (3, 10), (0, 6), (0, 14), (4, 14), (4, 13), (5, 12), (6, 11), (6, 10), (7, 10), (7, 11), (8, 12), (10, 13), (11, 12), (12, 10), (13, 9), (14, 10), (14, 7)], (13, 3): [(13, 3), (13, 2), (13, 0), (11, 0), (10, 0), (10, 2), (11, 3), (12, 3), (14, 3), (13, 4), (14, 7), (14, 13), (11, 13), (10, 12), (10, 11), (13, 11), (12, 10), (11, 8), (12, 7), (12, 6), (12, 5), (11, 5), (10, 5), (9, 4), (9, 3), (6, 3), (5, 2), (4, 3), (2, 3), (2, 6), (3, 6), (3, 7), (3, 9), (1, 10), (4, 14), (5, 14), (6, 13), (8, 14), (8, 12), (8, 11), (8, 10), (7, 10), (5, 10), (4, 9), (4, 8), (6, 8), (5, 6), (4, 5), (0, 5), (0, 2), (1, 1), (0, 1), (0, 0), (3, 0), (4, 0), (5, 0), (7, 0)], (1, 10): [(1, 10), (1, 9), (0, 9), (1, 7), (1, 6), (1, 5), (1, 4), (1, 3), (0, 3), (0, 0), (4, 1), (6, 0), (8, 1), (11, 0), (13, 1), (13, 6), (14, 6), (13, 7), (14, 10), (12, 11), (12, 12), (11, 13), (8, 13), (9, 12), (9, 5), (8, 7), (7, 7), (4, 6), (4, 5), (3, 5), (3, 4), (5, 4), (5, 5), (5, 6), (5, 8), (6, 9), (7, 9), (7, 10), (7, 11), (5, 11)], (10, 12): [(10, 12), (9, 12), (7, 12), (6, 13), (6, 14), (1, 14), (2, 11), (5, 12), (6, 12), (6, 11), (7, 9), (7, 4), (12, 4), (13, 3), (10, 2), (11, 1), (9, 1), (10, 0), (7, 0), (6, 2), (5, 2), (2, 2), (2, 6), (0, 5), (0, 6), (0, 8), (0, 9), (2, 9), (4, 8), (4, 7), (4, 6), (6, 6), (8, 6), (8, 5), (9, 5), (9, 6), (9, 7), (9, 8), (9, 11), (12, 11), (12, 9), (11, 9), (10, 8)], (2, 12): [(2, 12), (0, 12), (0, 14), (0, 9), (0, 10), (3, 10), (4, 13), (6, 12), (6, 13), (7, 13), (7, 14), (8, 14), (9, 14), (9, 13), (8, 12), (7, 10), (6, 8), (8, 7), (10, 6), (9, 10), (14, 11), (12, 11), (12, 8), (12, 7), (14, 5), (13, 4), (14, 0), (14, 2), (13, 2), (12, 2), (8, 1), (8, 3), (5, 3), (6, 2), (5, 2), (4, 2), (4, 3), (0, 3), (1, 3), (2, 5), (2, 7), (3, 0)], (9, 2): [(9, 2), (9, 1), (8, 1), (6, 1), (5, 1), (5, 2), (3, 2), (1, 1), (0, 2), (0, 5), (1, 7), (4, 5), (4, 10), (3, 10), (6, 11), (8, 8), (9, 6), (10, 6), (10, 5), (10, 4), (11, 4), (11, 2), (11, 1), (11, 0), (10, 0), (12, 0), (13, 2), (13, 5), (13, 7), (12, 9), (12, 10), (14, 10), (14, 11), (13, 13), (14, 14), (0, 14), (0, 13)], (3, 9): [(3, 9), (3, 6), (2, 6), (1, 6), (1, 7), (0, 8), (0, 9), (0, 12), (1, 13), (3, 12), (4, 13), (4, 14), (5, 11), (6, 12), (11, 13), (11, 14), (12, 14), (13, 13), (14, 13), (14, 9), (13, 7), (12, 7), (11, 5), (13, 4), (12, 3), (14, 3), (14, 2), (13, 0), (3, 0), (3, 2), (3, 3), (2, 3), (0, 2), (0, 4), (4, 5), (4, 6), (6, 2), (7, 1), (7, 3), (8, 4), (8, 6), (9, 6), (10, 6), (9, 8)], (8, 0): [(8, 0), (11, 0), (12, 0), (14, 0), (13, 1), (13, 2), (12, 2), (9, 2), (9, 3), (8, 3), (8, 4), (9, 5), (9, 6), (8, 8), (5, 7), (4, 7), (3, 6), (2, 6), (2, 5), (2, 4), (4, 4), (4, 3), (4, 2), (4, 1), (4, 0), (2, 1), (0, 0), (0, 9), (3, 8), (3, 10), (3, 11), (3, 12), (1, 12), (1, 13), (0, 14), (3, 14), (4, 14), (4, 13), (5, 12), (6, 12), (7, 13), (8, 14), (14, 14), (13, 9), (14, 7)], (7, 7): [(7, 7), (7, 6), (7, 4), (8, 4), (8, 2), (8, 1), (13, 1), (13, 4), (11, 4), (9, 3), (10, 2), (10, 0), (1, 0), (4, 0), (4, 2), (5, 2), (5, 4), (5, 5), (3, 5), (3, 3), (0, 4), (1, 6), (1, 13), (5, 14), (6, 12), (3, 12), (4, 11), (2, 10), (3, 10), (4, 10), (4, 8), (5, 8), (5, 7), (8, 7), (8, 8), (7, 8), (7, 10), (9, 10), (9, 9), (13, 9), (13, 13), (11, 13), (10, 12), (10, 14)], (6, 2): [(6, 2), (4, 2), (4, 4), (5, 5), (6, 5), (7, 5), (8, 4), (10, 4), (9, 6), (11, 6), (13, 6), (13, 3), (14, 2), (12, 1), (11, 1), (5, 0), (3, 0), (1, 2), (0, 2), (0, 5), (0, 6), (1, 6), (3, 6), (4, 8), (3, 9), (2, 9), (3, 10), (5, 9), (6, 10), (6, 7), (7, 8), (8, 11), (10, 10), (14, 10), (14, 13), (13, 14), (13, 12), (12, 13), (10, 13), (8, 14), (6, 13), (4, 12), (2, 12), (0, 12), (0, 8)], (3, 4): [(3, 4), (2, 4), (0, 1), (4, 0), (3, 2), (5, 3), (5, 5), (4, 6), (2, 6), (1, 7), (1, 8), (1, 10), (0, 10), (1, 11), (5, 10), (5, 13), (6, 13), (9, 14), (11, 10), (11, 9), (11, 8), (11, 7), (12, 6), (12, 8), (13, 9), (14, 5), (14, 1), (10, 1), (11, 1), (11, 0), (9, 0), (7, 0), (6, 1), (8, 2), (7, 6), (6, 6), (7, 7)], (11, 2): [(11, 2), (13, 3), (14, 1), (14, 0), (14, 6), (13, 6), (12, 6), (13, 7), (13, 11), (14, 10), (12, 10), (11, 9), (10, 12), (9, 14), (6, 13), (6, 8), (7, 10), (8, 9), (9, 8), (9, 5), (11, 5), (3, 5), (3, 4), (3, 1), (1, 2), (0, 2), (2, 12)], (14, 13): [(14, 13), (13, 14), (5, 14), (7, 14), (8, 14), (8, 13), (7, 12), (6, 13), (4, 13), (1, 12), (0, 11), (2, 11), (5, 9), (4, 8), (5, 6), (5, 5), (7, 5), (7, 6), (9, 8), (10, 11), (10, 12), (12, 12), (12, 10), (13, 9), (14, 11), (14, 6), (14, 1), (12, 1), (11, 0), (9, 0), (10, 1), (8, 1), (4, 2), (2, 1), (2, 0), (3, 4), (1, 6), (1, 7)], (9, 12): [(9, 12), (9, 12), (8, 11), (7, 12), (11, 13), (13, 13), (13, 14), (8, 14), (5, 13), (6, 8), (8, 8), (10, 10), (14, 9), (14, 8), (14, 6), (11, 7), (11, 1), (14, 0), (14, 3), (13, 4), (9, 4), (7, 2), (1, 2), (2, 2), (4, 1), (5, 3), (4, 5), (2, 6), (2, 8), (3, 8), (4, 9), (4, 10), (5, 11), (2, 11)], (6, 3): [(6, 3), (6, 4), (7, 4), (8, 4), (8, 5), (7, 5), (7, 6), (10, 6), (10, 5), (10, 7), (11, 7), (12, 6), (13, 5), (13, 4), (13, 1), (11, 1), (11, 0), (10, 0), (12, 2), (12, 8), (11, 9), (14, 11), (12, 14), (9, 13), (6, 13), (3, 14), (1, 14), (0, 14), (0, 13), (1, 11), (2, 9), (3, 8), (4, 8), (5, 10), (7, 11), (8, 10), (9, 8), (9, 4), (10, 4), (10, 3), (9, 2), (8, 3), (3, 2), (2, 1), (0, 2), (0, 5)], (14, 3): [(14, 3), (14, 3), (14, 4), (12, 4), (12, 3), (11, 5), (10, 7), (9, 7), (10, 8), (10, 9), (9, 9), (11, 10), (12, 7), (13, 9), (13, 13), (11, 13), (9, 12), (8, 13), (6, 13), (7, 13), (7, 12), (7, 10), (7, 14), (3, 14), (0, 14), (0, 8), (1, 7), (1, 2), (2, 2), (2, 6), (2, 7), (4, 8), (6, 6), (8, 3), (7, 2), (13, 0)], (10, 14): [(10, 14), (9, 13), (12, 13), (13, 13), (13, 14), (13, 8), (10, 8), (9, 9), (9, 6), (11, 5), (11, 4), (14, 2), (11, 0), (6, 1), (5, 2), (4, 3), (2, 3), (0, 2), (1, 5), (5, 5), (6, 6), (6, 7), (3, 7), (2, 9), (1, 10), (0, 12), (2, 13), (6, 11), (7, 11), (11, 10)], (12, 11): [(12, 11), (13, 11), (14, 12), (14, 13), (13, 13), (10, 13), (8, 12), (7, 12), (6, 12), (6, 10), (7, 10), (7, 9), (8, 9), (8, 8), (10, 8), (12, 8), (13, 4), (12, 3), (8, 3), (8, 2), (7, 2), (9, 1), (10, 0), (9, 0), (8, 0), (5, 0), (5, 2), (2, 1), (1, 0), (0, 2), (1, 9), (2, 9), (4, 8), (5, 8), (5, 7), (5, 9), (5, 11), (4, 11), (3, 12), (3, 14), (4, 14), (6, 14)], (2, 5): [(2, 5), (2, 4), (1, 4), (1, 3), (2, 2), (2, 0), (1, 0), (3, 0), (3, 1), (4, 1), (5, 2), (5, 3), (4, 3), (5, 4), (7, 4), (8, 0), (14, 1), (13, 2), (12, 2), (12, 4), (12, 5), (9, 5), (7, 7), (5, 6), (3, 6), (0, 6), (0, 4), (2, 8), (2, 9), (0, 10), (1, 14), (3, 13), (3, 11), (3, 12), (5, 12), (5, 11), (5, 9), (8, 10), (9, 11), (11, 11), (12, 8), (13, 7), (14, 12), (12, 13), (8, 14), (7, 14)], (2, 14): [(2, 14), (0, 14), (1, 11), (3, 11), (3, 9), (3, 8), (4, 8), (4, 9), (4, 10), (6, 9), (6, 8), (1, 8), (0, 7), (0, 4), (0, 0), (1, 0), (2, 1), (3, 1), (3, 2), (4, 3), (4, 6), (6, 6), (8, 6), (8, 3), (9, 3), (6, 3), (5, 1), (11, 1), (11, 0), (14, 3), (14, 5), (14, 6), (14, 7), (13, 8), (13, 10), (11, 9), (11, 7), (10, 8), (10, 11), (6, 12), (5, 13), (7, 13), (7, 14)], (9, 5): [(9, 5), (9, 5), (10, 5), (11, 3), (11, 0), (10, 0), (7, 0), (3, 0), (4, 2), (1, 2), (0, 7), (1, 9), (1, 11), (0, 11), (5, 11), (6, 11), (8, 10), (9, 9), (8, 7), (5, 7), (4, 13), (9, 14), (11, 14), (10, 11), (13, 12), (13, 9)], (8, 5): [(8, 5), (9, 5), (10, 4), (9, 2), (9, 1), (8, 1), (6, 1), (0, 0), (0, 3), (3, 3), (2, 7), (2, 9), (3, 9), (5, 9), (7, 9), (6, 11), (4, 11), (1, 10), (0, 10), (2, 13), (6, 14), (8, 14), (8, 11), (12, 9), (13, 6), (12, 13)], (3, 12): [(3, 12), (2, 12), (1, 12), (5, 12), (6, 13), (10, 12), (10, 10), (9, 7), (9, 4), (8, 5), (6, 5), (3, 5), (2, 5), (2, 4), (2, 6), (1, 6), (3, 6), (4, 8), (5, 8), (4, 9), (4, 1), (3, 1), (2, 0), (5, 0), (7, 1), (8, 1), (13, 1), (13, 0), (11, 5), (12, 7), (12, 8), (14, 8), (14, 11), (12, 12), (11, 14), (14, 14)], (5, 1): [(5, 1), (3, 0), (2, 1), (2, 2), (3, 3), (4, 4), (7, 4), (7, 3), (9, 1), (13, 0), (14, 4), (13, 4), (12, 4), (12, 7), (12, 6), (9, 6), (8, 6), (8, 5), (9, 9), (9, 11), (10, 11), (11, 11), (12, 11), (14, 11), (13, 13), (13, 14), (8, 13), (7, 11), (7, 10), (4, 9), (4, 12), (5, 12), (3, 14), (2, 13), (2, 11), (0, 12), (0, 10), (0, 8), (0, 6), (0, 1), (0, 0)], (1, 5): [(1, 5), (1, 5), (2, 5), (3, 5), (3, 4), (0, 4), (1, 2), (2, 1), (2, 0), (7, 0), (9, 1), (8, 3), (6, 3), (10, 5), (9, 6), (9, 7), (9, 9), (6, 9), (5, 8), (2, 7), (2, 6), (2, 13), (1, 13), (7, 12), (8, 13), (9, 14), (10, 13), (14, 13), (14, 12), (14, 10), (14, 8), (14, 6), (11, 6), (12, 7)], (4, 1): [(4, 1), (6, 1), (6, 2), (7, 0), (10, 1), (12, 0), (12, 2), (14, 1), (13, 4), (9, 4), (7, 5), (6, 5), (4, 5), (4, 6), (5, 6), (7, 7), (9, 7), (10, 7), (12, 7), (12, 8), (14, 10), (14, 12), (13, 12), (13, 11), (12, 11), (11, 10), (8, 11), (8, 8), (7, 9), (2, 8), (2, 7), (2, 5), (2, 4), (3, 2), (0, 1), (0, 8), (0, 10), (2, 12), (3, 12), (4, 13), (3, 14), (0, 14), (8, 14), (9, 14), (10, 13)], (7, 11): [(7, 11), (9, 11), (10, 11), (10, 10), (8, 9), (8, 8), (8, 7), (11, 6), (11, 4), (11, 3), (10, 3), (9, 1), (12, 2), (13, 2), (13, 0), (14, 0), (14, 3), (13, 3), (13, 6), (14, 6), (13, 7), (13, 10), (14, 12), (11, 13), (11, 14), (8, 13), (6, 14), (4, 14), (3, 13), (2, 12), (1, 8), (0, 9), (0, 7), (1, 6), (1, 5), (4, 5), (1, 1), (1, 0)], (8, 4): [(8, 4), (10, 4), (10, 3), (11, 3), (12, 4), (11, 5), (11, 7), (11, 8), (8, 10), (7, 9), (5, 4), (3, 5), (4, 7), (2, 7), (0, 6), (0, 4), (0, 0), (3, 0), (5, 1), (5, 2), (8, 0), (9, 0), (10, 1), (12, 1), (12, 0), (13, 2), (14, 1), (14, 6), (14, 11), (12, 11), (11, 14), (11, 13), (10, 12), (10, 13), (7, 13), (5, 12), (4, 10), (3, 11), (3, 12), (0, 12), (0, 10)], (6, 6): [(6, 6), (4, 6), (4, 4), (2, 4), (3, 2), (3, 1), (8, 1), (8, 0), (11, 0), (11, 3), (12, 3), (12, 5), (13, 5), (10, 5), (10, 7), (10, 8), (14, 7), (14, 8), (12, 9), (10, 10), (8, 9), (7, 7), (5, 8), (3, 8), (2, 7), (0, 7), (0, 6), (0, 5), (1, 9), (2, 9), (4, 9), (6, 10), (5, 11), (5, 13), (7, 13), (7, 12), (8, 13), (10, 13), (13, 13), (13, 14), (7, 14), (2, 14), (2, 12), (1, 11), (0, 11), (0, 10), (0, 14)], (6, 10): [(6, 10), (7, 10), (8, 9), (10, 9), (9, 11), (9, 13), (11, 14), (14, 13), (14, 11), (13, 10), (12, 10), (13, 7), (14, 2), (10, 1), (9, 3), (10, 4), (10, 5), (6, 7), (6, 4), (4, 5), (2, 5), (0, 4), (0, 6), (1, 7), (3, 7), (4, 8), (4, 11), (6, 11), (7, 12), (7, 13), (2, 14), (0, 13)], (8, 9): [(8, 9), (8, 9), (8, 8), (10, 8), (10, 9), (11, 9), (12, 9), (12, 10), (13, 10), (13, 12), (13, 13), (10, 14), (10, 11), (8, 11), (7, 10), (7, 12), (5, 14), (1, 12), (1, 10), (2, 10), (4, 9), (4, 8), (6, 8), (1, 8), (1, 7), (1, 6), (3, 6), (5, 5), (4, 3), (2, 3), (0, 3), (7, 3), (9, 2), (9, 0), (9, 6), (10, 6), (12, 6), (12, 7), (11, 7), (14, 7), (14, 3), (13, 3)], (13, 5): [(13, 5), (14, 6), (14, 9), (13, 10), (12, 12), (12, 13), (10, 11), (7, 12), (5, 14), (5, 10), (0, 11), (1, 9), (1, 10), (3, 10), (3, 8), (3, 7), (4, 7), (4, 5), (3, 6), (1, 6), (0, 3), (2, 3), (4, 3), (5, 3), (7, 3), (7, 5), (6, 5), (6, 6), (6, 8), (7, 8), (11, 7), (12, 4), (12, 2), (13, 3), (13, 0), (8, 0), (6, 1)], (14, 7): [(14, 7), (14, 6), (14, 8), (14, 9), (14, 10), (11, 8), (11, 6), (11, 5), (12, 5), (13, 2), (12, 1), (13, 0), (12, 0), (10, 0), (10, 2), (9, 2), (9, 3), (9, 5), (10, 5), (5, 4), (6, 2), (6, 0), (3, 0), (3, 1), (4, 1), (4, 3), (0, 5), (0, 10), (4, 14), (4, 13), (7, 11), (9, 10), (8, 10), (8, 8), (6, 9), (6, 7), (7, 7), (8, 6), (8, 7), (10, 7), (13, 14)], (3, 1): [(3, 1), (4, 0), (5, 0), (1, 2), (1, 4), (3, 4), (2, 6), (0, 5), (0, 8), (0, 9), (0, 10), (1, 10), (2, 10), (3, 10), (3, 11), (2, 11), (3, 13), (7, 14), (8, 14), (10, 14), (10, 13), (10, 9), (10, 7), (11, 5), (13, 4), (13, 2), (10, 2), (7, 6), (5, 6), (5, 8), (8, 10), (11, 10), (13, 11), (14, 11), (14, 12), (14, 13), (14, 7)], (8, 12): [(8, 12), (6, 12), (5, 11), (5, 10), (3, 10), (0, 10), (1, 8), (2, 12), (4, 12), (7, 13), (8, 14), (10, 14), (11, 10), (12, 8), (14, 6), (11, 5), (7, 9), (6, 7), (5, 4), (6, 3), (8, 3), (8, 4), (10, 4), (12, 4), (13, 3), (14, 2), (14, 0), (12, 1), (12, 2), (10, 2), (10, 0), (10, 1), (8, 1), (5, 1), (4, 1), (4, 2), (4, 3), (3, 5), (1, 5), (0, 2), (0, 0)], (7, 5): [(7, 5), (6, 5), (5, 5), (5, 4), (5, 0), (4, 1), (3, 2), (2, 7), (2, 8), (3, 8), (6, 8), (8, 8), (9, 8), (10, 7), (10, 6), (10, 0), (11, 2), (12, 1), (14, 1), (13, 3), (14, 7), (13, 9), (12, 8), (7, 9), (10, 9), (11, 9), (11, 10), (12, 11), (14, 14), (13, 14), (13, 13), (11, 13), (8, 14), (6, 14), (3, 14), (1, 10)], (1, 9): [(1, 9), (0, 10), (2, 10), (1, 11), (3, 11), (3, 12), (3, 13), (3, 14), (6, 11), (5, 10), (5, 9), (5, 8), (6, 8), (6, 7), (8, 7), (9, 8), (9, 9), (9, 12), (9, 13), (9, 14), (8, 14), (12, 13), (13, 11), (13, 10), (13, 5), (14, 6), (14, 0), (11, 0), (10, 1), (11, 2), (9, 3), (8, 3), (6, 3), (5, 4), (3, 4), (2, 4), (1, 4), (1, 6), (4, 5), (2, 5), (2, 1), (3, 0)], (13, 8): [(13, 8), (12, 8), (12, 6), (13, 4), (14, 4), (12, 2), (11, 2), (11, 3), (9, 3), (10, 1), (10, 5), (8, 6), (7, 6), (6, 5), (4, 5), (3, 4), (3, 2), (2, 3), (1, 4), (1, 1), (1, 0), (6, 0), (6, 8), (5, 8), (6, 10), (14, 9), (13, 9), (12, 11), (12, 14), (11, 14), (8, 13), (7, 12), (4, 12), (4, 14), (2, 14), (1, 13), (1, 10)], (2, 1): [(2, 1), (3, 1), (5, 0), (7, 1), (11, 1), (10, 2), (9, 3), (10, 4), (12, 4), (6, 4), (4, 6), (0, 6), (1, 5), (2, 5), (3, 5), (2, 3), (1, 2), (1, 13), (6, 13), (7, 12), (9, 10), (9, 7), (10, 8), (11, 12), (13, 12), (13, 11), (14, 14), (10, 14), (9, 14)], (4, 8): [(4, 8), (5, 9), (6, 10), (7, 10), (6, 11), (5, 11), (3, 14), (3, 13), (6, 13), (8, 14), (8, 11), (10, 12), (14, 11), (13, 10), (14, 8), (11, 7), (11, 5), (12, 4), (14, 3), (13, 0), (11, 1), (10, 1), (9, 4), (9, 5), (8, 5), (8, 3), (7, 3), (4, 3), (5, 2), (5, 1), (2, 1), (2, 4), (2, 5), (3, 6), (0, 9), (1, 7), (1, 6)], (10, 5): [(10, 5), (10, 4), (12, 4), (13, 4), (13, 2), (11, 0), (8, 0), (9, 1), (7, 2), (7, 6), (7, 10), (7, 12), (5, 12), (4, 11), (3, 11), (2, 10), (4, 9), (3, 5), (2, 2), (2, 1), (0, 3), (1, 13), (1, 14), (9, 13), (13, 13), (14, 13), (14, 8), (14, 7), (13, 6)], (9, 3): [(9, 3), (8, 2), (7, 1), (7, 3), (5, 3), (5, 0), (4, 0), (1, 0), (2, 3), (2, 4), (3, 6), (4, 6), (5, 6), (6, 6), (8, 5), (9, 5), (11, 5), (12, 5), (13, 4), (13, 3), (13, 0), (14, 14), (11, 12), (6, 13), (6, 14), (3, 14), (1, 14), (0, 13), (1, 13), (2, 11), (1, 11), (0, 11), (0, 10), (0, 7), (1, 7), (1, 8), (2, 9), (3, 10), (3, 12), (4, 12), (5, 12), (7, 11), (7, 12), (9, 12), (10, 10), (11, 8), (11, 7), (8, 7), (4, 8)], (12, 13): [(12, 13), (13, 13), (12, 11), (10, 11), (10, 8), (10, 6), (11, 6), (11, 7), (11, 3), (12, 4), (13, 4), (14, 8), (13, 9), (9, 9), (8, 8), (7, 7), (7, 5), (7, 4), (5, 5), (5, 6), (0, 6), (0, 5), (1, 4), (0, 2), (0, 0), (6, 0), (8, 0), (8, 10), (7, 11), (7, 12), (4, 11), (0, 11), (0, 10), (2, 13), (3, 14), (5, 14)], (5, 14): [(5, 14), (5, 14), (4, 13), (3, 13), (1, 13), (1, 11), (3, 9), (5, 9), (6, 8), (6, 7), (5, 6), (4, 5), (2, 4), (0, 0), (1, 0), (3, 1), (6, 0), (5, 0), (4, 0), (4, 2), (4, 3), (5, 4), (8, 3), (9, 3), (9, 2), (10, 2), (13, 0), (14, 1), (12, 6), (9, 6), (9, 8), (8, 11), (8, 12), (10, 11), (13, 12), (13, 9), (14, 9), (14, 14), (12, 14)], (7, 3): [(7, 3), (6, 4), (8, 4), (8, 7), (7, 8), (6, 8), (5, 8), (3, 8), (3, 9), (0, 8), (0, 4), (0, 3), (1, 4), (2, 0), (5, 0), (6, 1), (9, 0), (10, 0), (11, 2), (12, 2), (12, 3), (12, 5), (13, 5), (11, 8), (11, 9), (9, 9), (9, 8), (9, 10), (11, 13), (12, 13), (14, 14), (10, 14), (1, 12), (0, 12)], (7, 4): [(7, 4), (8, 4), (8, 5), (8, 6), (8, 8), (1, 8), (5, 7), (5, 5), (2, 3), (3, 1), (4, 0), (7, 0), (10, 0), (10, 1), (13, 2), (14, 4), (13, 4), (12, 4), (10, 4), (11, 6), (11, 7), (10, 7), (10, 8), (9, 9), (10, 10), (11, 13), (12, 14), (14, 11), (8, 11), (8, 12), (7, 12), (4, 12), (3, 14), (2, 13), (0, 14)], (0, 7): [(0, 7), (0, 6), (1, 7), (1, 8), (2, 8), (3, 10), (7, 10), (7, 8), (6, 8), (8, 7), (9, 9), (6, 11), (5, 14), (11, 13), (12, 13), (12, 12), (14, 12), (14, 11), (9, 11), (11, 11), (12, 11), (12, 10), (13, 8), (13, 5), (14, 3), (13, 0), (13, 2), (12, 3), (10, 3), (9, 2), (7, 1), (7, 5), (5, 3), (4, 3), (1, 3), (1, 2), (1, 1)], (11, 5): [(11, 5), (11, 5), (10, 5), (9, 6), (10, 7), (10, 9), (11, 9), (11, 10), (11, 12), (11, 13), (11, 14), (10, 14), (10, 13), (7, 13), (8, 12), (7, 10), (7, 9), (6, 5), (4, 7), (3, 7), (3, 11), (3, 13), (1, 14), (2, 11), (1, 10), (1, 9), (1, 8), (0, 7), (1, 4), (0, 1), (1, 1), (4, 0), (4, 1), (6, 1), (6, 0), (12, 0), (14, 1), (13, 1), (13, 4), (14, 6), (12, 8), (13, 8), (13, 9), (13, 10), (13, 11)], (14, 8): [(14, 8), (14, 8), (13, 8), (13, 6), (13, 5), (12, 5), (11, 3), (10, 2), (8, 3), (7, 3), (6, 3), (6, 1), (6, 0), (8, 0), (2, 0), (1, 1), (3, 1), (2, 3), (0, 3), (1, 4), (1, 6), (2, 7), (3, 5), (5, 10), (6, 10), (6, 9), (6, 7), (8, 6), (11, 6), (14, 6), (12, 7), (12, 10), (9, 11), (9, 13), (7, 14), (6, 12), (3, 12), (3, 11), (0, 11)], (13, 0): [(13, 0), (12, 0), (12, 2), (11, 2), (11, 3), (10, 4), (11, 5), (12, 6), (10, 7), (8, 7), (9, 8), (11, 10), (14, 11), (12, 12), (9, 13), (7, 14), (4, 13), (3, 14), (2, 14), (1, 10), (0, 8), (1, 6), (0, 5), (1, 4), (1, 2), (4, 1), (4, 3), (3, 4), (3, 5), (4, 7), (6, 9), (6, 4), (6, 3)], (10, 11): [(10, 11), (10, 10), (9, 11), (9, 8), (9, 7), (11, 6), (11, 5), (11, 4), (9, 3), (8, 1), (7, 1), (10, 1), (10, 0), (14, 0), (14, 1), (13, 2), (14, 7), (14, 9), (7, 9), (6, 8), (5, 8), (5, 7), (5, 9), (5, 10), (4, 10), (5, 11), (4, 12), (5, 13), (7, 13), (11, 13), (10, 14), (3, 14), (2, 11), (1, 11), (0, 10), (0, 7), (2, 3), (2, 2), (4, 3), (5, 4)], (11, 13): [(11, 13), (10, 12), (8, 14), (7, 14), (6, 8), (5, 9), (3, 11), (3, 12), (3, 13), (4, 13), (2, 14), (1, 12), (2, 10), (1, 7), (3, 7), (5, 6), (9, 5), (10, 4), (11, 8), (12, 7), (12, 8), (14, 8), (14, 9), (13, 9), (13, 10), (13, 12), (14, 10), (14, 3), (13, 3), (13, 1), (10, 0), (9, 1), (9, 2), (10, 2), (8, 2), (7, 2), (7, 1), (2, 1), (2, 0), (2, 2)], (13, 1): [(13, 1), (14, 0), (11, 0), (11, 2), (12, 2), (13, 5), (14, 7), (14, 9), (14, 11), (12, 11), (11, 11), (11, 10), (8, 10), (8, 13), (13, 13), (14, 13), (12, 14), (2, 14), (2, 10), (4, 8), (6, 8), (7, 4), (8, 3), (7, 3), (2, 4), (1, 0), (0, 0), (0, 5), (0, 6), (1, 6), (1, 9), (0, 12)], (9, 7): [(9, 7), (10, 4), (10, 2), (9, 0), (8, 0), (11, 0), (12, 3), (11, 5), (13, 6), (13, 10), (6, 11), (4, 11), (3, 10), (2, 12), (2, 14), (0, 11), (2, 6), (4, 5), (5, 5), (5, 1), (1, 1), (0, 1), (0, 3), (1, 3)], (2, 2): [(2, 2), (1, 2), (2, 3), (1, 5), (0, 11), (0, 14), (3, 13), (6, 13), (5, 11), (3, 9), (4, 9), (4, 8), (3, 7), (4, 6), (4, 2), (9, 4), (9, 6), (10, 7), (12, 8), (14, 9), (14, 14), (9, 14), (10, 12), (11, 10), (13, 10), (13, 5), (13, 4), (7, 0)], (7, 6): [(7, 6), (5, 6), (4, 7), (3, 8), (0, 8), (0, 6), (0, 5), (2, 2), (5, 1), (6, 0), (8, 0), (8, 4), (10, 6), (9, 8), (8, 8), (9, 9), (11, 9), (11, 10), (8, 10), (6, 10), (4, 10), (2, 10), (1, 11), (0, 11), (2, 12), (2, 14), (3, 14), (6, 13), (9, 14), (11, 14), (11, 13), (13, 13), (14, 8), (14, 7), (13, 4), (13, 3), (13, 2), (12, 2), (13, 0)], (12, 12): [(12, 12), (13, 12), (13, 10), (14, 7), (14, 2), (13, 2), (11, 2), (11, 1), (12, 0), (9, 0), (9, 1), (9, 2), (8, 2), (5, 2), (5, 3), (4, 3), (3, 2), (3, 1), (1, 1), (0, 1), (2, 5), (3, 5), (4, 5), (6, 5), (11, 4), (9, 7), (8, 7), (6, 9), (6, 10), (7, 10), (12, 13), (9, 13), (6, 14), (4, 14), (4, 11), (3, 12), (0, 13), (0, 7), (3, 7)], (9, 0): [(9, 0), (10, 0), (8, 1), (7, 1), (5, 0), (1, 1), (0, 4), (0, 5), (2, 5), (1, 8), (1, 12), (2, 12), (3, 11), (6, 10), (6, 9), (8, 8), (9, 7), (10, 7), (9, 9), (9, 10), (8, 10), (7, 11), (5, 14), (6, 14), (9, 13), (13, 12), (14, 6)], (3, 8): [(3, 8), (3, 8), (2, 8), (2, 9), (1, 7), (4, 7), (3, 5), (3, 3), (0, 3), (0, 1), (2, 1), (3, 1), (4, 2), (4, 0), (6, 0), (5, 1), (7, 3), (6, 4), (7, 6), (7, 8), (6, 8), (5, 11), (1, 11), (0, 10), (2, 12), (1, 13), (7, 14), (12, 14), (11, 12), (11, 11), (11, 9), (11, 8), (10, 10), (10, 5), (12, 2), (12, 1), (13, 0), (14, 0), (14, 1), (14, 9)], (14, 6): [(14, 6), (14, 6), (14, 12), (11, 12), (10, 13), (9, 14), (7, 14), (8, 10), (9, 6), (9, 9), (8, 9), (7, 9), (5, 8), (4, 6), (4, 7), (3, 10), (2, 12), (1, 11), (1, 8), (1, 4), (3, 0), (8, 0), (7, 0), (6, 1), (6, 2), (7, 2), (10, 2), (10, 4), (10, 5), (12, 7), (13, 6), (13, 1), (13, 0)], (14, 0): [(14, 0), (13, 0), (12, 1), (10, 1), (9, 0), (8, 0), (5, 1), (3, 1), (3, 2), (1, 2), (0, 0), (0, 9), (0, 11), (2, 11), (3, 11), (4, 9), (6, 9), (6, 7), (6, 6), (5, 7), (5, 10), (7, 12), (8, 8), (7, 4), (11, 3), (13, 3), (13, 4), (12, 5), (10, 6), (11, 8), (14, 11), (10, 11), (11, 12), (10, 13), (0, 14)], (13, 9): [(13, 9), (13, 7), (13, 6), (11, 4), (10, 5), (9, 6), (8, 7), (10, 8), (9, 9), (8, 9), (7, 9), (7, 11), (8, 12), (8, 13), (9, 13), (13, 13), (6, 14), (5, 14), (4, 11), (2, 13), (1, 9), (2, 9), (3, 8), (3, 7), (2, 2), (2, 1), (2, 0), (1, 0), (0, 1), (4, 1), (5, 3), (6, 5), (8, 0), (9, 1), (11, 1), (12, 1), (14, 1), (14, 0)], (13, 4): [(13, 4), (10, 4), (9, 6), (6, 6), (5, 7), (7, 7), (8, 8), (9, 9), (10, 9), (11, 9), (12, 8), (13, 8), (14, 8), (14, 7), (13, 9), (13, 5), (14, 4), (14, 0), (13, 2), (11, 2), (10, 1), (8, 0), (7, 1), (7, 2), (5, 1), (0, 1), (0, 0), (1, 2), (3, 4), (3, 5), (4, 6), (0, 5), (2, 7), (4, 8), (4, 9), (4, 11), (6, 12), (7, 12), (8, 10), (9, 14), (5, 14)], (3, 5): [(3, 5), (1, 5), (1, 4), (1, 6), (0, 6), (2, 6), (3, 8), (2, 9), (0, 10), (1, 11), (2, 12), (4, 11), (9, 11), (9, 13), (13, 14), (14, 11), (12, 10), (11, 9), (10, 9), (8, 9), (8, 7), (8, 6), (8, 5), (6, 8), (5, 7), (5, 5), (4, 3), (3, 2), (2, 0), (1, 0), (5, 0), (9, 0), (10, 0), (11, 0), (9, 2), (9, 3), (9, 4), (10, 4), (12, 5), (13, 3)], (14, 4): [(14, 4), (14, 0), (13, 1), (11, 0), (7, 0), (8, 1), (9, 2), (9, 3), (7, 3), (5, 1), (4, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 7), (4, 6), (5, 7), (5, 8), (4, 10), (3, 10), (4, 11), (7, 11), (7, 13), (9, 13), (10, 14), (11, 13), (12, 9), (8, 7), (9, 9), (9, 10), (10, 11), (10, 12), (1, 12)], (9, 10): [(9, 10), (12, 10), (11, 9), (11, 8), (10, 8), (9, 7), (9, 6), (8, 6), (7, 6), (6, 5), (6, 8), (5, 8), (3, 9), (2, 7), (1, 4), (2, 4), (3, 2), (5, 2), (4, 0), (7, 0), (10, 0), (12, 0), (13, 1), (11, 3), (11, 7), (13, 7), (13, 5), (14, 5), (14, 6), (14, 8), (14, 10), (14, 12), (12, 14), (10, 13), (10, 12), (7, 12), (6, 13), (4, 14), (4, 11), (4, 10), (2, 10), (1, 12)], (9, 4): [(9, 4), (9, 8), (8, 9), (7, 9), (7, 11), (6, 11), (6, 14), (7, 14), (2, 12), (3, 9), (3, 8), (5, 7), (5, 6), (1, 6), (0, 2), (1, 2), (1, 4), (4, 4), (4, 2), (4, 0), (13, 0), (14, 3), (14, 8), (12, 6), (11, 9), (11, 10), (9, 10), (10, 12), (13, 12), (12, 13)], (6, 7): [(6, 7), (6, 6), (6, 5), (8, 5), (8, 6), (8, 3), (9, 2), (9, 1), (10, 1), (10, 2), (12, 1), (13, 0), (6, 1), (1, 2), (0, 2), (0, 4), (2, 4), (2, 6), (0, 7), (2, 9), (3, 11), (0, 12), (5, 13), (7, 14), (10, 14), (11, 13), (12, 14), (13, 14), (14, 13), (13, 13), (13, 12), (12, 12), (12, 10), (11, 9), (10, 9), (9, 9), (8, 9), (6, 9), (5, 7), (12, 7), (14, 7), (14, 8)], (1, 13): [(1, 13), (1, 13), (1, 14), (0, 14), (3, 13), (2, 10), (2, 9), (3, 7), (3, 6), (0, 7), (1, 0), (2, 1), (4, 1), (5, 1), (5, 2), (8, 3), (7, 5), (7, 6), (7, 8), (7, 9), (6, 11), (8, 11), (9, 11), (9, 12), (8, 12), (6, 14), (9, 14), (10, 13), (13, 14), (14, 14), (12, 12), (12, 11), (11, 11), (10, 10), (13, 10), (14, 10), (14, 5), (13, 2), (14, 0), (11, 0)], (7, 9): [(7, 9), (8, 10), (8, 6), (7, 6), (7, 5), (7, 3), (8, 3), (8, 4), (9, 4), (11, 4), (12, 4), (14, 4), (14, 0), (9, 0), (2, 0), (0, 1), (0, 4), (1, 5), (2, 5), (4, 4), (3, 4), (3, 3), (2, 3), (2, 2), (4, 2), (5, 2), (6, 6), (9, 6), (11, 11), (12, 11), (11, 12), (14, 13), (7, 13), (6, 12), (4, 12), (3, 13), (1, 13), (0, 13), (0, 10), (1, 10)], (2, 4): [(2, 4), (3, 4), (2, 1), (3, 0), (1, 0), (0, 1), (0, 5), (0, 6), (3, 7), (2, 7), (2, 9), (7, 9), (9, 7), (9, 11), (10, 13), (12, 13), (14, 13), (14, 11), (13, 11), (13, 10), (11, 10), (12, 9), (14, 8), (12, 7), (13, 7), (14, 6), (13, 1), (12, 0), (11, 2), (9, 3), (9, 2), (6, 2), (6, 3), (6, 5), (6, 7), (6, 8), (4, 10), (2, 12), (2, 13)], (7, 12): [(7, 12), (6, 12), (5, 14), (5, 13), (5, 11), (5, 8), (5, 6), (6, 6), (6, 3), (6, 1), (3, 0), (0, 0), (0, 1), (0, 7), (0, 8), (1, 10), (2, 9), (2, 6), (3, 5), (4, 5), (3, 7), (4, 9), (4, 10), (6, 10), (10, 11), (10, 10), (10, 9), (10, 6), (10, 5), (9, 5), (9, 4), (9, 3), (8, 4), (12, 5), (14, 5), (14, 7), (12, 8), (12, 12), (12, 13), (14, 11), (14, 1), (12, 1), (11, 0)]}