I ran the code for rack size 7. It took 12 hours 6 mins 18 secs on a 4 core Xeon box with 8 GB memory, OS linux. I am not going to copy the whole output here, just a few first and last lines:
MMVFWXQ => 6.24704795748769e-11
__BPMKQ => 6.24704795748769e-11
BCBMYHV => 6.24704795748769e-11
...
EEAIOND => 3.56231662727778e-05
EEAIONU => 3.56231662727778e-05
EEAIONL => 3.56231662727778e-05
Combinations: 8275164, Count: 16007560800.
I probably have an error in the code :-)
Update: I see it now. The error was my effort to "DRY". The @tiles array must be defined as follows to make it work:
my @tiles = (('_') x 2, # 2 blank tiles (scoring 0 points)
# 1 point
('E') x 12,
('A') x 9, ('I') x 9,
('O') x 8,
('N') x 6, ('R') x 6, ('T') x 6,
('L') x 4, ('S') x 4, ('U') x 4,
# 2 points
('D') x 4,
('G') x 3,
# 3 points
('B') x 2, ('C') x 2, ('M') x 2, ('P') x 2,
# 4 points
('F') x 2, ('H') x 2, ('V') x 2, ('W') x 2, ('Y') x 2,
# 5 points
('K'),
# 8 points
qw(J X),
# 10 points
qw(Q Z));
Stay tuned, the next result is comming in 12 hours.
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