6. A tromino is a group of three unit squares arranged in an L-shape. In the...

6. A tromino is a group of three unit squares arranged in an L-shape. In the following tiling problem, the input is an n by n array of unit squares where n = 2k for some positive integer k, with one forbidden square in the array. You want to generate a tiling of the array satisfying the following conditions: (a) every square other than the forbidden square is covered by a tromino (this means that the forbidden square is not covered); (b) no two trominos overlap; and (c) no tromino extends beyond the array. Design a divide-and-conquer algorithm that solves the tiling problem.

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