Number of winners of length 1: 0
Number of winners of length 2: 1
Number of winners of length 3: 2
Number of winners of length 4: 3
Number of winners of length 5: 6
Number of winners of length 6: 9
Number of winners of length 7: 18
Number of winners of length 8: 30
Number of winners of length 9: 56
Number of winners of length 10: 99
Number of winners of length 11: 186
Number of winners of length 12: 335
Number of winners of length 13: 630
Number of winners of length 14: 1161
Number of winners of length 15: 2182
Number of winners of length 16: 4080
Number of winners of length 17: 7710
Number of winners of length 18: 14532
Number of winners of length 19: 27594
Number of winners of length 20: 52364
EDITED: 
number of winners of length 20 = 52377
total number of winners = 111011


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