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The cows have taken up alphabetical jigsaw puzzles. In these puzzles with R (1 <= R <= 10) rows and C (1 <= C <= 10) columns, the edges are not funny-shaped cardboard shapes but rather are letters.
Each piece has a serial number and 4 letters (or borders) that must be aligned as in a regular jigsaw puzzle. The pseudo-letter '0' (the digit 0) will represent a border (and a piece can have several borders if it is a corner piece or even the top of column in a, e.g., 4x1 puzzle). Below is a set of six pieces (the borders are marked with lines instead of '0's) assembled in one way (of many) that completes the puzzle:
+---+ +---+ +---+ | 1 c c 3 d d 5 | +-d-+ + a + +-e-+ +-d-+ +-a-+ +-e-+ | 2 b b 4 b b 6 | +---+ +---+ +---+
Note that each edge letter of each piece matches the border letter of the piece adjacent to it; the borders appear properly on the top, bottom, and sides.
Pieces are represented by a serial number and a clockwise list of their four edges (where edges are the letters a..z and 0). Pieces might require rotation when placed in the puzzle.
Given a set of pieces, find at least one way to assemble them into a puzzle. Test data for puzzles with larger R and C are easier to solve because they have a more varied set of edge letters.
2 3 1 c d 0 0 2 0 d b 0 3 c 0 d a 4 b a b 0 5 d 0 0 e 6 0 0 b e
1 0 c d 0 3 0 d a c 5 0 0 e d 2 d b 0 0 4 a b 0 b 6 e 0 0 b