Generate how many keys?
 3 19 31 49 50 + 6 7
10 11 31 36 42 + 4 7
 1  4 12 22 39 + 1 2
 6 13 29 43 50 + 2 3
 6 18 32 37 39 + 1 3
22 24 25 27 28 + 2 7
14 23 35 37 43 + 2 3
 4 25 39 41 49 + 3 9
 5 21 48 49 50 + 1 6
 1  2 17 18 40 + 3 5