Generate how many keys?
17 23 36 48 50 + 8 9
 6 12 23 37 40 + 1 7
11 20 24 28 50 + 3 7
 4 22 36 40 44 + 2 8
11 12 13 33 49 + 3 9
 3 20 30 39 40 + 2 8
 1  8 31 34 38 + 7 8
22 27 29 45 50 + 5 7
 3 15 19 27 34 + 3 9
 5 15 18 37 50 + 1 6