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3. The reason that the obvious attempt (with exactly half-size bricks at the ends) fails is that a rowB has an extra cement gap -- six of them instead of five. Since we're using a length of 4 for a cement gap, the two end bricks must be reduced by 4/2 = 2 steps each, to 13 instead of 30/2 = 15.30101310These magic numbers will have to be computed instead when we add more inputs later.2