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It'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.

30

1310

These magic numbers will have to be computed instead when we add more inputs later.

2