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's somewhat artificial that we start with shape inputs for DRAW BRICK but have fixed values in ROWA and ROWB. Acknowledge that if students bring it up. The main reason we did this is that ROWB is easier if they can do the arithmetic instead of building algebraic expressions for the general case.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