aaaabbbc = 2
aaaabbbd = 4
aaaabbbe = 5
aaaabbbh = 5
aaaabbbl = 5
aaaabbby = 6
aaaabbcd = 6
aaaabbce = 7
aaaabbcl = 9
aaaabbcs = 9
aaaabbcy = 9
aaaabbde = 15
aaaabber = 16
aaaabbet = 18
aaaabcds = 19
aaaabcer = 22
aaaabcls = 25
aaaabdel = 29
aaaabder = 36
aaaabest = 42
aaaaeprs = 47
aaabbest = 48
aaabcder = 57
aaabcers = 63
aaabdegr = 64
aaabdelr = 65
aaabdels = 68
aaabdeor = 68
aaabders = 80
aaabelst = 94
aaaelpst = 109
aaaeprst = 118
aabcders = 129
aabcerst = 150
aabdeirs = 155
aabdelst = 158
aabderst = 164
aabelrst = 169
aaceprst = 197
aaeiprst = 209
abcdeirs = 215
abcdeors = 215
abcderst = 227
abcehrst = 231
abceorst = 231
abceprst = 234
abcerstu = 235
abdehrst = 241
abdeilrs = 264
abdeirst = 284
acehprst = 288
aceiprst = 304
aceoprst = 307
adeilrst = 319
adeiprst = 332
aeilprst = 344
aeinprst = 346