Quartominos
A Domino has two numbers, one at each end. A Triomino has three numbers,
one in each corner of a triangle. A Quartomino has four numbers, one
in each corner of a square.

Find all 24 unique quartominos created by placing the numbers 0, 1 or 2 in
each of the corners. A quartomino is unique if it cannot be rotated to
make another.

Place the 24 quartominos from part 1 into a 5x5 grid, duplicating only
one, such that
each quartomino matches its neighbors at both corners.
Source: Original.
Solution
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