[User]
In a 38x38 grid, how many different paths are there from the bottom left (0, 0) to the top right (37, 37), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (37, 32), (11, 37), (25, 12), (8, 2), (27, 20), (36, 3), (28, 15), (31, 35), (12, 18), (35, 23), (10, 8), (11, 24), (31, 6), (30, 18), (12, 0), (32, 9), (13, 35), (32, 8), (2, 9), (6, 27), (1, 0), (11, 17), (0, 8), (22, 24), (3, 6), (9, 22), (20, 15), (37, 12), (6, 20), (9, 17), (15, 12), (29, 22), (25, 36), (33, 2), (19, 34), (7, 7), (7, 13), (22, 6), (37, 13), (7, 20), (35, 24), (19, 2), (31, 13), (32, 30), (10, 23), (17, 6), (24, 27), (2, 31), (29, 23), (12, 29), (7, 21), (7, 24), (34, 24), (15, 4), (14, 22), (21, 37), (15, 23), (17, 25), (10, 9), (28, 9), (15, 36), (12, 17), (24, 37), (9, 31), (13, 12), (7, 34), (3, 3), (19, 4), (33, 15), (13, 3), (23, 5), (8, 6), (2, 4), (6, 14), (14, 6), (22, 11), (28, 18), (31, 25), (0, 23), (31, 16), (29, 29), (26, 33), (5, 4), (9, 8), (20, 17), (36, 33), (32, 4), (12, 24), (36, 0), (10, 6), (34, 9), (16, 23), (29, 11), (25, 37), (35, 27), (30, 33), (36, 37), (11, 11), (1, 11), (3, 29), (14, 27), (28, 37), (11, 34), (26, 31), (7, 22), (23, 8), (37, 1), (6, 34), (12, 9), (7, 27), (9, 5), (3, 32), (17, 0), (31, 26), (17, 7), (34, 23), (22, 30), (28, 27), (18, 37), (24, 33), (7, 1), (17, 13), (10, 1), (10, 34), (29, 7), (4, 28), (0, 32), (3, 23), (33, 37), (11, 5), (35, 1), (31, 24), (4, 24), (26, 32), (2, 29), (4, 21), (15, 14), (10, 11), (30, 13), (31, 12), (19, 9), (1, 37), (36, 35), (4, 20), (17, 21), (24, 14), (27, 10), (30, 5), (5, 22), (35, 11), (1, 16), (21, 33), (32, 3), (23, 11), (20, 20), (28, 6), (13, 27), (2, 5), (26, 7), (0, 7), (6, 29), (10, 18), (23, 14), (4, 32), (4, 17), (24, 21), (24, 3), (27, 25), (8, 33), (11, 26), (5, 32), (15, 34), (6, 8), (5, 27), (33, 30), (23, 27), (0, 16), (28, 16), (30, 35), (32, 21), (13, 16), (12, 21), (10, 26), (16, 37), (35, 31), (30, 22), (14, 28), (36, 6), (28, 13), (29, 28), (28, 35), (16, 3), (26, 0), (6, 15), (36, 9), (20, 33), (28, 34), (37, 9), (36, 32), (31, 27), (19, 37), (3, 24), (20, 34), (3, 18), (34, 29), (27, 36), (36, 18), (36, 30), (18, 1), (29, 21), (32, 14), (2, 3), (21, 23), (8, 31), (24, 6), (27, 1), (7, 35), (5, 1), (0, 14), (16, 33), (4, 19), (30, 37), (22, 26), (21, 5), (21, 2), (35, 34), (36, 4), (31, 37), (2, 19), (22, 25), (5, 14), (12, 1), (3, 14), (16, 7), (0, 35), (17, 14), (33, 35), (12, 6), (34, 28), (8, 26), (18, 7), (10, 15), (16, 1), (29, 9), (0, 19), (26, 19), (23, 23), (25, 25), (18, 18), (18, 31), (35, 30), (33, 4), (6, 0), (7, 25), (27, 16), (12, 20), (5, 29), (0, 6), (27, 0), (36, 15), (34, 10), (34, 32), (3, 21), (9, 2), (6, 25), (32, 20), (7, 16), (9, 3), (35, 26), (15, 35), (8, 23), (10, 21), (8, 21), (29, 31), (37, 30), (8, 3), (23, 6), (7, 23), (8, 32), (27, 4), (28, 23), (2, 24), (34, 20), (22, 20), (28, 29), (15, 31), (21, 6), (26, 9), (19, 11), (24, 12), (27, 8), (8, 12), (4, 35), (2, 27), (14, 9), (22, 27), (2, 35), (0, 36), (18, 21), (13, 15), (15, 3), (34, 21), (8, 15), (33, 5), (13, 13), (7, 32), (24, 10), (23, 21), (21, 19), (17, 27), (1, 14), (10, 0), (24, 5), (9, 21), (0, 37), (37, 34), (31, 3), (28, 31), (1, 32), (22, 28), (18, 16), (32, 23), (28, 1), (23, 32), (23, 16), (33, 21), (15, 22), (16, 20), (19, 21), (33, 25), (31, 5), (37, 19), (37, 29), (30, 7), (20, 6), (16, 9), (33, 0), (18, 24), (10, 10), (22, 14), (14, 1), (4, 15), (8, 25), (1, 5), (25, 9), (33, 7), (12, 33), (8, 10), (37, 24), (33, 9), (18, 34), (17, 11), (6, 2), (37, 3), (6, 6), (9, 32), (26, 18), (34, 8), (20, 32), (32, 7), (1, 28), (19, 0), (30, 34), (2, 8), (21, 8), (12, 5), (32, 24), (0, 20), (34, 26), (2, 23), (25, 35), (21, 9), (19, 36), (16, 35), (2, 28), (29, 17), (19, 22), (12, 28), (16, 29), (31, 14), (31, 29), (15, 25), (16, 12), (20, 27), (5, 30), (9, 15), (14, 23), (13, 30), (17, 8), (9, 28), (2, 22), (1, 33), (10, 22), (11, 1), (13, 31), (2, 0), (27, 14), (26, 14), (26, 30), (26, 34), (13, 23), (0, 17), (24, 32), (30, 20), (18, 12), (11, 19), (19, 7), (9, 1), (37, 5), (8, 24), (23, 0), (4, 27), (21, 13), (28, 28), (36, 10), (12, 12), (21, 18), (36, 27), (18, 8), (14, 13), (35, 13), (27, 17), (29, 3), (0, 5), (6, 12), (15, 15), (21, 29), (37, 11), (18, 0), (0, 15), (4, 12), (14, 17), (36, 17), (8, 37), (26, 2), (21, 0), (29, 24), (34, 6), (5, 33), (16, 14), (7, 19), (10, 29), (37, 23), (28, 2), (21, 14), (22, 19), (29, 33), (22, 4), (25, 22), (7, 12), (8, 14), (37, 33), (29, 0), (10, 37), (18, 17), (14, 2), (13, 28), (29, 34), (37, 20), (14, 36), (8, 30), (18, 4), (19, 28), (21, 1), (0, 10), (20, 1), (16, 30), (16, 15), (18, 29), (5, 7), (27, 24)?

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