ALGORITHM SOLUTIONS
ALGORITHM #1:
Opening: 2, 9, 6, 5, 2, 3, 4, 1, 7, 1
Gameplay: 4, 5, 5, 5, 1, 3, 0, 7, 0, 2
Hint: Division
Find the first 3 decimal places of 11/31, 12/31, 13/31, ..., 22/31. Add the first two digits, then multiple the result by the 3rd digit. Subtract the result by the dividend, ignoring negative signs
11/31 -> (3+5)*5-11 = 29
12/31 -> (3+8)*7-12 = 65
13/31 -> (4+1)*9-13 = 23
14/31 -> (4+5)*2-14 = 4
15/31 -> (4+8)*4-15 = 17
16/31 -> (5+1)*6-16 = 14
17/31 -> (5+4)*8-17 = 55
18/31 -> (5+8)*1-18 = -5
19/31 -> (6+1)*3-19 = -1
20/31 -> (6+4)*5-20 = 30
21/31 -> (6+7)*7-21 = 70
22/31 -> 7+1)*0-22 = -22