I found the problem description a little confusing, but It's just a matrix multiplication. However, instead of doing the dot product, we must calculate the hamming distance between row and column.
Which doors are open?
Back to basics 20 - singleton dimensions
Multiply a column by a row
Compute hamming distance between two binary vectors represented using lists of 1-byte numbers
Create a "map" of 2D wavelet coefficients
1D DCT-II transform.
Rearrange coefficients after block based DCT transform.
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