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Use a layer-by-layer simulation approach, maintaining four boundaries (top, bottom, left, right) that shrink as each spiral layer is filled. Iterate through the matrix in the order right, down, left, up, updating boundaries after each direction, and fill cells with an incrementing counter from 1 to m*n.
Pro tip: Clarify edge cases upfront (e.g., single row/column, m or n equal to 1) and mention that the algorithm runs in O(m*n) time and O(1) extra space (excluding output), which is optimal. Also, consider discussing an alternative recursive approach to show depth, but emphasize the iterative boundary method for its simplicity and efficiency.
Set top=0, bottom=m-1, left=0, right=n-1, and initialize a counter val=1. Create an m x n matrix to fill.
Fill from left to right along the top boundary, then increment top. If top > bottom, break.
Fill from top to bottom along the right boundary, then decrement right. If left > right, break.
Fill from right to left along the bottom boundary, then decrement bottom. If top > bottom, break.
Fill from bottom to top along the left boundary, then increment left. If left > right, break. Repeat steps 2-5 until all cells are filled.
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