Question: You are given a 2k 2 k board with one missing cell. Give an O(22k )-time algorithm for filling the board with L-shaped tiles. (See

You are given a 2k 2 k board with one missing cell. Give an O(22k )-time algorithm for filling the board with L-shaped tiles. (See Figure 1 below.) You are given a 2k 2 k board with one missing cell.

Figure 1: On the left is an example grid with a missing cell, with k = 3. In the middle is the L-shaped tile, to be used for tiling. On the right is an example solution.

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