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To count how many copies of a fixed shape fit inside a bigger one, count the positions its top-left corner can take rather than cutting the big shape into pieces. A two-by-two square fits into a three-by-three board in four positions, not one.
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No indexed official paper question has been tagged with CNT-12 yet. The index grows one paper at a time, and it records only question numbers, point values and our own skill tags — never the problems themselves.