"Tips to complete 'Spirit of the Key Master' effectively while saving the most keys."

Notes:

Prioritize opening: Rare > Epic > Legendary chests.

Note: x, y, z represent the number of times Rare, Epic, and Legendary chests are opened, respectively.

To calculate the number of keys needed, use the formula: 30 * x or 30 * y or 30 * z.


■For a total marathon score of 6000:

●Considering Rare and Epic chests: The equation: 45x + 150y = 5040 Valid (x, y) pairs: (2, 33) (22, 27) (32, 24) (42, 21) (52, 18) (62, 15) (72, 12) (82, 9) (92, 6) (102, 3)

●Considering Epic and Legendary chests: The equation: 150y + 450z = 5100 Valid (y, z) pairs: (34, 0) (31, 1) (28, 2) (25, 3) (22, 4) (19, 5) (16, 6) (13, 7) (10, 8) (7, 9) (4, 10) (1, 11)

+1000 points from Duel battles.


■For a total marathon score of 5000:

●Considering Rare and Epic chests: The equation: 45x + 150y = 4005 Valid (x, y) pairs: (9, 24) (19, 21) (29, 18) (39, 15) (49, 12) (59, 9) (69, 6) (79, 3) (89, 0)

●Considering Epic and Legendary chests: The equation: 150y + 450z = 4050 Valid (y, z) pairs: (27, 0) (24, 1) (21, 2) (18, 3) (15, 4) (12, 5) (9, 6) (6, 7) (3, 8) (0, 9)

+1000 points from Duel battles.


■For a total marathon score of 4000:

●Considering Rare and Epic chests: The equation: 45x + 150y = 3000 Valid (x, y) pairs: (0, 20) (10, 17) (20, 14) (30, 11) (40, 8) (50, 5) (60, 2)

●Considering Epic and Legendary chests: The equation: 150y + 450z = 3000 Valid (y, z) pairs: (0, 20) (1, 17) (2, 14) (3, 11) (4, 8) (5, 5) (6, 2)

+1000 points from Duel battles.


■For a total marathon score of 6000:

●Considering Rare and Epic chests: The equation: 45x + 150y = 6000 Valid (x, y) pairs: (0, 40) (10, 37) (20, 34) (30, 31) (40, 28) (50, 25) (60, 22) (70, 19) (80, 16) (90, 13) (100, 10) (110, 7) (120, 4) (130, 1)

●Considering Epic and Legendary chests: The equation: 150y + 450z = 6000 Valid (y, z) pairs: (40, 0) (37, 1) (34, 2) (31, 3) (28, 4) (25, 5) (22, 6) (19, 7) (16, 8) (13, 9) (10, 10) (7, 11) (4, 12) (1, 13)

No need to add 1000 points from Duel battles.