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EXAMPLE
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a(4)=15 because we can choose any of the following 15 configurations for our three dice:
[ {0, 1, 2, 3}, {0, 4, 8, 12}, {0, 16, 32, 48} ],
[ {0, 1, 2, 3}, {0, 4, 16, 20}, {0, 8, 32, 40} ],
[ {0, 1, 2, 3}, {0, 4, 32, 36}, {0, 8, 16, 24} ],
[ {0, 1, 4, 5}, {0, 2, 8, 10}, {0, 16, 32, 48} ],
[ {0, 1, 4, 5}, {0, 2, 16, 18}, {0, 8, 32, 40} ],
[ {0, 1, 4, 5}, {0, 2, 32, 34}, {0, 8, 16, 24} ],
[ {0, 1, 8, 9}, {0, 2, 4, 6}, {0, 16, 32, 48} ],
[ {0, 1, 8, 9}, {0, 2, 16, 18}, {0, 4, 32, 36} ],
[ {0, 1, 8, 9}, {0, 2, 32, 34}, {0, 4, 16, 20} ],
[ {0, 1, 16, 17}, {0, 2, 4, 6}, {0, 8, 32, 40} ],
[ {0, 1, 16, 17}, {0, 2, 8, 10}, {0, 4, 32, 36} ],
[ {0, 1, 16, 17}, {0, 2, 32, 34}, {0, 4, 8, 12} ],
[ {0, 1, 32, 33}, {0, 2, 4, 6}, {0, 8, 16, 24} ],
[ {0, 1, 32, 33}, {0, 2, 8, 10}, {0, 4, 16, 20} ],
[ {0, 1, 32, 33}, {0, 2, 16, 18}, {0, 4, 8, 12} ].
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