data:image/png;base64,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

3010

1310

These 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.