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Last year I solved one million random cubes in both the half-turn and the quarter-turn metric. Unformtately, the random number generator I used was good old |drand48()|, which is not of the highest quality. This time, I generated 3,000,000 positions using the Mersenne Twister random number generator and solved all of these with a new faster optimal solver. This is the result:

    12h 13h 14h  15h   16h    17h     18h    19h     sum
14q   -   1   2    -     -      -       -      -       3
15q   -   4  19   13     -      -       -      -      36
16q   1  11  47  124   126      -       -      -     309