A theater can hold 120 giants or 144 elves. If 90 giants are already inside, how many elves can also be admitted?
2 answers:
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There are 12 such shapes. One can start with two squares, adding squares around the edge and rejecting shapes that have been previously seen. Repeating until you have 5 squares results in 12 distinct shapes.
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2 shapes are possible with 3 squares: L, I
5 shapes are possible with 4 squares: L, I, N, T, O
