data:image/png;base64,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 magic numbers will have to be computed instead when we add more inputs later.2data:image/png;base64,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's somewhat artificial that we start with shape inputs for DRAW BRICK but have fixed values in DRAW ROW A and DRAW ROW B. Acknowledge that if students bring it up. The main reason we did this is that DRAW ROW B 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 row B 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, that is, to 13 instead of 30/2 = 15.