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@robinhouston
Created April 27, 2015 11:21
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All the ways to make $39.75 from coins of denominations 1¢, 5¢, 10¢, 25¢, and $1
((10, 1), (53, 5), (37, 100))
((5, 5), (74, 25), (21, 100))
((17, 5), (49, 10), (34, 100))
((20, 5), (55, 25), (25, 100))
((35, 5), (30, 10), (35, 100))
((35, 5), (36, 25), (29, 100))
((50, 5), (17, 25), (33, 100))
((53, 5), (11, 10), (36, 100))
((5, 1), (8, 5), (53, 10), (34, 100))
((5, 1), (14, 5), (56, 25), (25, 100))
((5, 1), (26, 5), (34, 10), (35, 100))
((5, 1), (29, 5), (37, 25), (29, 100))
((5, 1), (44, 5), (15, 10), (36, 100))
((5, 1), (44, 5), (18, 25), (33, 100))
((10, 1), (8, 5), (57, 25), (25, 100))
((10, 1), (17, 5), (38, 10), (35, 100))
((10, 1), (23, 5), (38, 25), (29, 100))
((10, 1), (35, 5), (19, 10), (36, 100))
((10, 1), (38, 5), (19, 25), (33, 100))
((15, 1), (2, 5), (58, 25), (25, 100))
((15, 1), (8, 5), (42, 10), (35, 100))
((15, 1), (17, 5), (39, 25), (29, 100))
((15, 1), (26, 5), (23, 10), (36, 100))
((15, 1), (32, 5), (20, 25), (33, 100))
((15, 1), (44, 5), (4, 10), (37, 100))
((15, 1), (47, 5), (1, 25), (37, 100))
((20, 1), (11, 5), (40, 25), (29, 100))
((20, 1), (17, 5), (27, 10), (36, 100))
((20, 1), (26, 5), (21, 25), (33, 100))
((20, 1), (35, 5), (8, 10), (37, 100))
((20, 1), (41, 5), (2, 25), (37, 100))
((25, 1), (5, 5), (41, 25), (29, 100))
((25, 1), (8, 5), (31, 10), (36, 100))
((25, 1), (20, 5), (22, 25), (33, 100))
((25, 1), (26, 5), (12, 10), (37, 100))
((25, 1), (35, 5), (3, 25), (37, 100))
((30, 1), (14, 5), (23, 25), (33, 100))
((30, 1), (17, 5), (16, 10), (37, 100))
((30, 1), (29, 5), (4, 25), (37, 100))
((35, 1), (8, 5), (20, 10), (37, 100))
((35, 1), (8, 5), (24, 25), (33, 100))
((35, 1), (23, 5), (5, 25), (37, 100))
((35, 1), (26, 5), (1, 10), (38, 100))
((40, 1), (2, 5), (25, 25), (33, 100))
((40, 1), (17, 5), (5, 10), (38, 100))
((40, 1), (17, 5), (6, 25), (37, 100))
((45, 1), (8, 5), (9, 10), (38, 100))
((45, 1), (11, 5), (7, 25), (37, 100))
((50, 1), (5, 5), (8, 25), (37, 100))
((2, 5), (4, 10), (73, 25), (21, 100))
((2, 5), (9, 10), (67, 25), (22, 100))
((2, 5), (14, 10), (61, 25), (23, 100))
((2, 5), (19, 10), (55, 25), (24, 100))
((2, 5), (24, 10), (49, 25), (25, 100))
((2, 5), (29, 10), (43, 25), (26, 100))
((2, 5), (34, 10), (37, 25), (27, 100))
((2, 5), (39, 10), (31, 25), (28, 100))
((2, 5), (44, 10), (25, 25), (29, 100))
((2, 5), (49, 10), (19, 25), (30, 100))
((2, 5), (54, 10), (13, 25), (31, 100))
((2, 5), (59, 10), (7, 25), (32, 100))
((2, 5), (64, 10), (1, 25), (33, 100))
((5, 5), (5, 10), (68, 25), (22, 100))
((5, 5), (10, 10), (62, 25), (23, 100))
((5, 5), (15, 10), (56, 25), (24, 100))
((5, 5), (20, 10), (50, 25), (25, 100))
((5, 5), (25, 10), (44, 25), (26, 100))
((5, 5), (30, 10), (38, 25), (27, 100))
((5, 5), (35, 10), (32, 25), (28, 100))
((5, 5), (40, 10), (26, 25), (29, 100))
((5, 5), (45, 10), (20, 25), (30, 100))
((5, 5), (50, 10), (14, 25), (31, 100))
((5, 5), (55, 10), (8, 25), (32, 100))
((5, 5), (60, 10), (2, 25), (33, 100))
((8, 5), (1, 10), (69, 25), (22, 100))
((8, 5), (6, 10), (63, 25), (23, 100))
((8, 5), (11, 10), (57, 25), (24, 100))
((8, 5), (16, 10), (51, 25), (25, 100))
((8, 5), (21, 10), (45, 25), (26, 100))
((8, 5), (26, 10), (39, 25), (27, 100))
((8, 5), (31, 10), (33, 25), (28, 100))
((8, 5), (36, 10), (27, 25), (29, 100))
((8, 5), (41, 10), (21, 25), (30, 100))
((8, 5), (46, 10), (15, 25), (31, 100))
((8, 5), (51, 10), (9, 25), (32, 100))
((8, 5), (56, 10), (3, 25), (33, 100))
((11, 5), (2, 10), (64, 25), (23, 100))
((11, 5), (7, 10), (58, 25), (24, 100))
((11, 5), (12, 10), (52, 25), (25, 100))
((11, 5), (17, 10), (46, 25), (26, 100))
((11, 5), (22, 10), (40, 25), (27, 100))
((11, 5), (27, 10), (34, 25), (28, 100))
((11, 5), (32, 10), (28, 25), (29, 100))
((11, 5), (37, 10), (22, 25), (30, 100))
((11, 5), (42, 10), (16, 25), (31, 100))
((11, 5), (47, 10), (10, 25), (32, 100))
((11, 5), (52, 10), (4, 25), (33, 100))
((14, 5), (3, 10), (59, 25), (24, 100))
((14, 5), (8, 10), (53, 25), (25, 100))
((14, 5), (13, 10), (47, 25), (26, 100))
((14, 5), (18, 10), (41, 25), (27, 100))
((14, 5), (23, 10), (35, 25), (28, 100))
((14, 5), (28, 10), (29, 25), (29, 100))
((14, 5), (33, 10), (23, 25), (30, 100))
((14, 5), (38, 10), (17, 25), (31, 100))
((14, 5), (43, 10), (11, 25), (32, 100))
((14, 5), (48, 10), (5, 25), (33, 100))
((17, 5), (4, 10), (54, 25), (25, 100))
((17, 5), (9, 10), (48, 25), (26, 100))
((17, 5), (14, 10), (42, 25), (27, 100))
((17, 5), (19, 10), (36, 25), (28, 100))
((17, 5), (24, 10), (30, 25), (29, 100))
((17, 5), (29, 10), (24, 25), (30, 100))
((17, 5), (34, 10), (18, 25), (31, 100))
((17, 5), (39, 10), (12, 25), (32, 100))
((17, 5), (44, 10), (6, 25), (33, 100))
((20, 5), (5, 10), (49, 25), (26, 100))
((20, 5), (10, 10), (43, 25), (27, 100))
((20, 5), (15, 10), (37, 25), (28, 100))
((20, 5), (20, 10), (31, 25), (29, 100))
((20, 5), (25, 10), (25, 25), (30, 100))
((20, 5), (30, 10), (19, 25), (31, 100))
((20, 5), (35, 10), (13, 25), (32, 100))
((20, 5), (40, 10), (7, 25), (33, 100))
((20, 5), (45, 10), (1, 25), (34, 100))
((23, 5), (1, 10), (50, 25), (26, 100))
((23, 5), (6, 10), (44, 25), (27, 100))
((23, 5), (11, 10), (38, 25), (28, 100))
((23, 5), (16, 10), (32, 25), (29, 100))
((23, 5), (21, 10), (26, 25), (30, 100))
((23, 5), (26, 10), (20, 25), (31, 100))
((23, 5), (31, 10), (14, 25), (32, 100))
((23, 5), (36, 10), (8, 25), (33, 100))
((23, 5), (41, 10), (2, 25), (34, 100))
((26, 5), (2, 10), (45, 25), (27, 100))
((26, 5), (7, 10), (39, 25), (28, 100))
((26, 5), (12, 10), (33, 25), (29, 100))
((26, 5), (17, 10), (27, 25), (30, 100))
((26, 5), (22, 10), (21, 25), (31, 100))
((26, 5), (27, 10), (15, 25), (32, 100))
((26, 5), (32, 10), (9, 25), (33, 100))
((26, 5), (37, 10), (3, 25), (34, 100))
((29, 5), (3, 10), (40, 25), (28, 100))
((29, 5), (8, 10), (34, 25), (29, 100))
((29, 5), (13, 10), (28, 25), (30, 100))
((29, 5), (18, 10), (22, 25), (31, 100))
((29, 5), (23, 10), (16, 25), (32, 100))
((29, 5), (28, 10), (10, 25), (33, 100))
((29, 5), (33, 10), (4, 25), (34, 100))
((32, 5), (4, 10), (35, 25), (29, 100))
((32, 5), (9, 10), (29, 25), (30, 100))
((32, 5), (14, 10), (23, 25), (31, 100))
((32, 5), (19, 10), (17, 25), (32, 100))
((32, 5), (24, 10), (11, 25), (33, 100))
((32, 5), (29, 10), (5, 25), (34, 100))
((35, 5), (5, 10), (30, 25), (30, 100))
((35, 5), (10, 10), (24, 25), (31, 100))
((35, 5), (15, 10), (18, 25), (32, 100))
((35, 5), (20, 10), (12, 25), (33, 100))
((35, 5), (25, 10), (6, 25), (34, 100))
((38, 5), (1, 10), (31, 25), (30, 100))
((38, 5), (6, 10), (25, 25), (31, 100))
((38, 5), (11, 10), (19, 25), (32, 100))
((38, 5), (16, 10), (13, 25), (33, 100))
((38, 5), (21, 10), (7, 25), (34, 100))
((38, 5), (26, 10), (1, 25), (35, 100))
((41, 5), (2, 10), (26, 25), (31, 100))
((41, 5), (7, 10), (20, 25), (32, 100))
((41, 5), (12, 10), (14, 25), (33, 100))
((41, 5), (17, 10), (8, 25), (34, 100))
((41, 5), (22, 10), (2, 25), (35, 100))
((44, 5), (3, 10), (21, 25), (32, 100))
((44, 5), (8, 10), (15, 25), (33, 100))
((44, 5), (13, 10), (9, 25), (34, 100))
((44, 5), (18, 10), (3, 25), (35, 100))
((47, 5), (4, 10), (16, 25), (33, 100))
((47, 5), (9, 10), (10, 25), (34, 100))
((47, 5), (14, 10), (4, 25), (35, 100))
((50, 5), (5, 10), (11, 25), (34, 100))
((50, 5), (10, 10), (5, 25), (35, 100))
((53, 5), (1, 10), (12, 25), (34, 100))
((53, 5), (6, 10), (6, 25), (35, 100))
((56, 5), (2, 10), (7, 25), (35, 100))
((56, 5), (7, 10), (1, 25), (36, 100))
((59, 5), (3, 10), (2, 25), (36, 100))
((5, 1), (2, 5), (1, 10), (70, 25), (22, 100))
((5, 1), (2, 5), (6, 10), (64, 25), (23, 100))
((5, 1), (2, 5), (11, 10), (58, 25), (24, 100))
((5, 1), (2, 5), (16, 10), (52, 25), (25, 100))
((5, 1), (2, 5), (21, 10), (46, 25), (26, 100))
((5, 1), (2, 5), (26, 10), (40, 25), (27, 100))
((5, 1), (2, 5), (31, 10), (34, 25), (28, 100))
((5, 1), (2, 5), (36, 10), (28, 25), (29, 100))
((5, 1), (2, 5), (41, 10), (22, 25), (30, 100))
((5, 1), (2, 5), (46, 10), (16, 25), (31, 100))
((5, 1), (2, 5), (51, 10), (10, 25), (32, 100))
((5, 1), (2, 5), (56, 10), (4, 25), (33, 100))
((5, 1), (5, 5), (2, 10), (65, 25), (23, 100))
((5, 1), (5, 5), (7, 10), (59, 25), (24, 100))
((5, 1), (5, 5), (12, 10), (53, 25), (25, 100))
((5, 1), (5, 5), (17, 10), (47, 25), (26, 100))
((5, 1), (5, 5), (22, 10), (41, 25), (27, 100))
((5, 1), (5, 5), (27, 10), (35, 25), (28, 100))
((5, 1), (5, 5), (32, 10), (29, 25), (29, 100))
((5, 1), (5, 5), (37, 10), (23, 25), (30, 100))
((5, 1), (5, 5), (42, 10), (17, 25), (31, 100))
((5, 1), (5, 5), (47, 10), (11, 25), (32, 100))
((5, 1), (5, 5), (52, 10), (5, 25), (33, 100))
((5, 1), (8, 5), (3, 10), (60, 25), (24, 100))
((5, 1), (8, 5), (8, 10), (54, 25), (25, 100))
((5, 1), (8, 5), (13, 10), (48, 25), (26, 100))
((5, 1), (8, 5), (18, 10), (42, 25), (27, 100))
((5, 1), (8, 5), (23, 10), (36, 25), (28, 100))
((5, 1), (8, 5), (28, 10), (30, 25), (29, 100))
((5, 1), (8, 5), (33, 10), (24, 25), (30, 100))
((5, 1), (8, 5), (38, 10), (18, 25), (31, 100))
((5, 1), (8, 5), (43, 10), (12, 25), (32, 100))
((5, 1), (8, 5), (48, 10), (6, 25), (33, 100))
((5, 1), (11, 5), (4, 10), (55, 25), (25, 100))
((5, 1), (11, 5), (9, 10), (49, 25), (26, 100))
((5, 1), (11, 5), (14, 10), (43, 25), (27, 100))
((5, 1), (11, 5), (19, 10), (37, 25), (28, 100))
((5, 1), (11, 5), (24, 10), (31, 25), (29, 100))
((5, 1), (11, 5), (29, 10), (25, 25), (30, 100))
((5, 1), (11, 5), (34, 10), (19, 25), (31, 100))
((5, 1), (11, 5), (39, 10), (13, 25), (32, 100))
((5, 1), (11, 5), (44, 10), (7, 25), (33, 100))
((5, 1), (11, 5), (49, 10), (1, 25), (34, 100))
((5, 1), (14, 5), (5, 10), (50, 25), (26, 100))
((5, 1), (14, 5), (10, 10), (44, 25), (27, 100))
((5, 1), (14, 5), (15, 10), (38, 25), (28, 100))
((5, 1), (14, 5), (20, 10), (32, 25), (29, 100))
((5, 1), (14, 5), (25, 10), (26, 25), (30, 100))
((5, 1), (14, 5), (30, 10), (20, 25), (31, 100))
((5, 1), (14, 5), (35, 10), (14, 25), (32, 100))
((5, 1), (14, 5), (40, 10), (8, 25), (33, 100))
((5, 1), (14, 5), (45, 10), (2, 25), (34, 100))
((5, 1), (17, 5), (1, 10), (51, 25), (26, 100))
((5, 1), (17, 5), (6, 10), (45, 25), (27, 100))
((5, 1), (17, 5), (11, 10), (39, 25), (28, 100))
((5, 1), (17, 5), (16, 10), (33, 25), (29, 100))
((5, 1), (17, 5), (21, 10), (27, 25), (30, 100))
((5, 1), (17, 5), (26, 10), (21, 25), (31, 100))
((5, 1), (17, 5), (31, 10), (15, 25), (32, 100))
((5, 1), (17, 5), (36, 10), (9, 25), (33, 100))
((5, 1), (17, 5), (41, 10), (3, 25), (34, 100))
((5, 1), (20, 5), (2, 10), (46, 25), (27, 100))
((5, 1), (20, 5), (7, 10), (40, 25), (28, 100))
((5, 1), (20, 5), (12, 10), (34, 25), (29, 100))
((5, 1), (20, 5), (17, 10), (28, 25), (30, 100))
((5, 1), (20, 5), (22, 10), (22, 25), (31, 100))
((5, 1), (20, 5), (27, 10), (16, 25), (32, 100))
((5, 1), (20, 5), (32, 10), (10, 25), (33, 100))
((5, 1), (20, 5), (37, 10), (4, 25), (34, 100))
((5, 1), (23, 5), (3, 10), (41, 25), (28, 100))
((5, 1), (23, 5), (8, 10), (35, 25), (29, 100))
((5, 1), (23, 5), (13, 10), (29, 25), (30, 100))
((5, 1), (23, 5), (18, 10), (23, 25), (31, 100))
((5, 1), (23, 5), (23, 10), (17, 25), (32, 100))
((5, 1), (23, 5), (28, 10), (11, 25), (33, 100))
((5, 1), (23, 5), (33, 10), (5, 25), (34, 100))
((5, 1), (26, 5), (4, 10), (36, 25), (29, 100))
((5, 1), (26, 5), (9, 10), (30, 25), (30, 100))
((5, 1), (26, 5), (14, 10), (24, 25), (31, 100))
((5, 1), (26, 5), (19, 10), (18, 25), (32, 100))
((5, 1), (26, 5), (24, 10), (12, 25), (33, 100))
((5, 1), (26, 5), (29, 10), (6, 25), (34, 100))
((5, 1), (29, 5), (5, 10), (31, 25), (30, 100))
((5, 1), (29, 5), (10, 10), (25, 25), (31, 100))
((5, 1), (29, 5), (15, 10), (19, 25), (32, 100))
((5, 1), (29, 5), (20, 10), (13, 25), (33, 100))
((5, 1), (29, 5), (25, 10), (7, 25), (34, 100))
((5, 1), (29, 5), (30, 10), (1, 25), (35, 100))
((5, 1), (32, 5), (1, 10), (32, 25), (30, 100))
((5, 1), (32, 5), (6, 10), (26, 25), (31, 100))
((5, 1), (32, 5), (11, 10), (20, 25), (32, 100))
((5, 1), (32, 5), (16, 10), (14, 25), (33, 100))
((5, 1), (32, 5), (21, 10), (8, 25), (34, 100))
((5, 1), (32, 5), (26, 10), (2, 25), (35, 100))
((5, 1), (35, 5), (2, 10), (27, 25), (31, 100))
((5, 1), (35, 5), (7, 10), (21, 25), (32, 100))
((5, 1), (35, 5), (12, 10), (15, 25), (33, 100))
((5, 1), (35, 5), (17, 10), (9, 25), (34, 100))
((5, 1), (35, 5), (22, 10), (3, 25), (35, 100))
((5, 1), (38, 5), (3, 10), (22, 25), (32, 100))
((5, 1), (38, 5), (8, 10), (16, 25), (33, 100))
((5, 1), (38, 5), (13, 10), (10, 25), (34, 100))
((5, 1), (38, 5), (18, 10), (4, 25), (35, 100))
((5, 1), (41, 5), (4, 10), (17, 25), (33, 100))
((5, 1), (41, 5), (9, 10), (11, 25), (34, 100))
((5, 1), (41, 5), (14, 10), (5, 25), (35, 100))
((5, 1), (44, 5), (5, 10), (12, 25), (34, 100))
((5, 1), (44, 5), (10, 10), (6, 25), (35, 100))
((5, 1), (47, 5), (1, 10), (13, 25), (34, 100))
((5, 1), (47, 5), (6, 10), (7, 25), (35, 100))
((5, 1), (47, 5), (11, 10), (1, 25), (36, 100))
((5, 1), (50, 5), (2, 10), (8, 25), (35, 100))
((5, 1), (50, 5), (7, 10), (2, 25), (36, 100))
((5, 1), (53, 5), (3, 10), (3, 25), (36, 100))
((10, 1), (2, 5), (3, 10), (61, 25), (24, 100))
((10, 1), (2, 5), (8, 10), (55, 25), (25, 100))
((10, 1), (2, 5), (13, 10), (49, 25), (26, 100))
((10, 1), (2, 5), (18, 10), (43, 25), (27, 100))
((10, 1), (2, 5), (23, 10), (37, 25), (28, 100))
((10, 1), (2, 5), (28, 10), (31, 25), (29, 100))
((10, 1), (2, 5), (33, 10), (25, 25), (30, 100))
((10, 1), (2, 5), (38, 10), (19, 25), (31, 100))
((10, 1), (2, 5), (43, 10), (13, 25), (32, 100))
((10, 1), (2, 5), (48, 10), (7, 25), (33, 100))
((10, 1), (2, 5), (53, 10), (1, 25), (34, 100))
((10, 1), (5, 5), (4, 10), (56, 25), (25, 100))
((10, 1), (5, 5), (9, 10), (50, 25), (26, 100))
((10, 1), (5, 5), (14, 10), (44, 25), (27, 100))
((10, 1), (5, 5), (19, 10), (38, 25), (28, 100))
((10, 1), (5, 5), (24, 10), (32, 25), (29, 100))
((10, 1), (5, 5), (29, 10), (26, 25), (30, 100))
((10, 1), (5, 5), (34, 10), (20, 25), (31, 100))
((10, 1), (5, 5), (39, 10), (14, 25), (32, 100))
((10, 1), (5, 5), (44, 10), (8, 25), (33, 100))
((10, 1), (5, 5), (49, 10), (2, 25), (34, 100))
((10, 1), (8, 5), (5, 10), (51, 25), (26, 100))
((10, 1), (8, 5), (10, 10), (45, 25), (27, 100))
((10, 1), (8, 5), (15, 10), (39, 25), (28, 100))
((10, 1), (8, 5), (20, 10), (33, 25), (29, 100))
((10, 1), (8, 5), (25, 10), (27, 25), (30, 100))
((10, 1), (8, 5), (30, 10), (21, 25), (31, 100))
((10, 1), (8, 5), (35, 10), (15, 25), (32, 100))
((10, 1), (8, 5), (40, 10), (9, 25), (33, 100))
((10, 1), (8, 5), (45, 10), (3, 25), (34, 100))
((10, 1), (11, 5), (1, 10), (52, 25), (26, 100))
((10, 1), (11, 5), (6, 10), (46, 25), (27, 100))
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