solutions = [[(0, 0, 1), (1, 5, 0), (5, 9, 2), (8, 7, 7), (10, 11, 0), (13, 2, 7), (16, 10, 0), (18, 6, 3), (20, 3, 6), (26, 1, 6), (32, 4, 5), (42,
 8, 2)], [(0, 1, 4), (2, 4, 3), (5, 3, 10), (8, 6, 11), (16, 7, 3), (25, 5, 0), (29, 2, 6), (31, 8, 2), (40, 0, 4), (41, 9, 2), (44, 10,
 0), (50, 11, 0)], [(0, 2, 6), (2, 5, 10), (4, 0, 2), (6, 7, 6), (8, 10, 0), (15, 9, 3), (16, 6, 1), (18, 11, 0), (24, 3, 8), (26, 1, 4)
, (29, 4, 4), (42, 8, 2)], [(0, 2, 6), (2, 7, 8), (4, 0, 2), (6, 11, 1), (9, 3, 11), (13, 8, 1), (15, 5, 1), (16, 6, 1), (26, 1, 4), (29
, 4, 4), (30, 10, 2), (40, 9, 11)], [(0, 2, 6), (2, 10, 0), (4, 0, 2), (6, 7, 6), (9, 9, 9), (12, 11, 0), (15, 5, 1), (16, 6, 1), (24, 3
, 8), (26, 1, 4), (29, 4, 4), (42, 8, 2)], [(0, 2, 6), (2, 11, 0), (4, 0, 2), (6, 7, 6), (8, 10, 0), (12, 9, 3), (15, 5, 1), (16, 6, 1),
 (24, 3, 8), (26, 1, 4), (29, 4, 4), (42, 8, 2)], [(0, 2, 6), (2, 11, 0), (4, 0, 5), (6, 7, 6), (8, 9, 7), (12, 10, 0), (15, 5, 1), (16,
 6, 1), (24, 3, 8), (26, 1, 4), (29, 4, 4), (42, 8, 2)], [(0, 3, 0), (4, 1, 7), (5, 7, 8), (14, 4, 5), (16, 6, 4), (25, 5, 0), (29, 2, 6
), (31, 8, 2), (40, 0, 4), (41, 9, 2), (44, 10, 0), (50, 11, 0)], [(0, 3, 10), (1, 5, 0), (7, 1, 4), (11, 9, 8), (17, 7, 3), (20, 0, 3),
 (25, 6, 11), (26, 2, 0), (31, 11, 2), (35, 10, 0), (41, 4, 6), (42, 8, 2)], [(0, 3, 10), (1, 5, 0), (7, 7, 8), (11, 9, 9), (14, 1, 7),
(24, 0, 4), (25, 2, 6), (27, 10, 0), (30, 11, 1), (35, 6, 5), (42, 8, 2), (43, 4, 7)], [(0, 4, 2), (3, 6, 5), (9, 7, 9), (11, 1, 6), (17
, 3, 1), (25, 5, 0), (29, 2, 6), (31, 8, 2), (40, 0, 4), (41, 9, 2), (44, 10, 0), (50, 11, 0)], [(0, 5, 10), (2, 1, 6), (4, 7, 9), (12,
9, 3), (16, 3, 1), (24, 0, 4), (25, 2, 6), (27, 10, 0), (30, 11, 1), (35, 6, 5), (42, 8, 2), (43, 4, 7)], [(0, 5, 10), (2, 9, 2), (6, 3,
 10), (7, 1, 4), (17, 7, 3), (20, 0, 3), (25, 6, 11), (26, 2, 0), (31, 11, 2), (35, 10, 0), (41, 4, 6), (42, 8, 2)], [(0, 6, 10), (1, 7,
 2), (4, 3, 11), (10, 4, 4), (12, 1, 5), (25, 5, 0), (29, 2, 6), (31, 8, 2), (40, 0, 4), (41, 9, 2), (44, 10, 0), (50, 11, 0)], [(0, 9,
3), (1, 3, 0), (9, 5, 11), (10, 1, 5), (11, 7, 2), (20, 0, 3), (25, 6, 11), (26, 2, 0), (31, 11, 2), (35, 10, 0), (41, 4, 6), (42, 8, 2)
], [(0, 9, 8), (2, 1, 6), (4, 7, 9), (12, 3, 1), (15, 5, 1), (24, 0, 4), (25, 2, 6), (27, 10, 0), (30, 11, 1), (35, 6, 5), (42, 8, 2), (
43, 4, 7)], [(0, 10, 0), (2, 5, 11), (3, 2, 7), (8, 7, 7), (10, 11, 0), (18, 6, 5), (20, 3, 6), (24, 0, 4), (25, 4, 2), (30, 9, 6), (32,
 1, 7), (42, 8, 2)]]