## Challenge Given two integer values \$a \ge 2\$ and \$0 \le b < a\$, generate a \$(2a-1) \times (2a-1)\$ matrix consisting of the integers 0, 1, and 2 as follows: 1. Create a checkerboard of 0s and 1s of the given size, corners being 0. 2. If \$b > 0\$, overwrite the checkerboard with 2s in the X shape at the center, each leg being of length \$b\$ (not counting the center). <sup>This pattern is directly modeled from Art Puzzle event grids (where \$a\$ is fixed at 3, \$b=0,1,2\$ represent easy/normal/hard grids, and the 0, 1, 2s in the output represent easy/normal/hard minipuzzles respectively). Blame it if you don't like the edge case of \$b=0\$ :P</sup> Standard [tag:code-golf] rules apply. The shortest code in bytes wins. ## Test cases ``` a = 2, b = 0 [[0, 1, 0], [1, 0, 1], [0, 1, 0]] a = 2, b = 1 [[2, 1, 2], [1, 2, 1], [2, 1, 2]] a = 3, b = 0 [[0, 1, 0, 1, 0], [1, 0, 1, 0, 1], [0, 1, 0, 1, 0], [1, 0, 1, 0, 1], [0, 1, 0, 1, 0]] a = 3, b = 1 [[0, 1, 0, 1, 0], [1, 2, 1, 2, 1], [0, 1, 2, 1, 0], [1, 2, 1, 2, 1], [0, 1, 0, 1, 0]] a = 3, b = 2 [[2, 1, 0, 1, 2], [1, 2, 1, 2, 1], [0, 1, 2, 1, 0], [1, 2, 1, 2, 1], [2, 1, 0, 1, 2]] a = 4, b = 0 [[0, 1, 0, 1, 0, 1, 0], [1, 0, 1, 0, 1, 0, 1], [0, 1, 0, 1, 0, 1, 0], [1, 0, 1, 0, 1, 0, 1], [0, 1, 0, 1, 0, 1, 0], [1, 0, 1, 0, 1, 0, 1], [0, 1, 0, 1, 0, 1, 0]] a = 4, b = 1 [[0, 1, 0, 1, 0, 1, 0], [1, 0, 1, 0, 1, 0, 1], [0, 1, 2, 1, 2, 1, 0], [1, 0, 1, 2, 1, 0, 1], [0, 1, 2, 1, 2, 1, 0], [1, 0, 1, 0, 1, 0, 1], [0, 1, 0, 1, 0, 1, 0]] a = 4, b = 2 [[0, 1, 0, 1, 0, 1, 0], [1, 2, 1, 0, 1, 2, 1], [0, 1, 2, 1, 2, 1, 0], [1, 0, 1, 2, 1, 0, 1], [0, 1, 2, 1, 2, 1, 0], [1, 2, 1, 0, 1, 2, 1], [0, 1, 0, 1, 0, 1, 0]] a = 4, b = 3 [[2, 1, 0, 1, 0, 1, 2], [1, 2, 1, 0, 1, 2, 1], [0, 1, 2, 1, 2, 1, 0], [1, 0, 1, 2, 1, 0, 1], [0, 1, 2, 1, 2, 1, 0], [1, 2, 1, 0, 1, 2, 1], [2, 1, 0, 1, 0, 1, 2]] ```