Sort complex numbers into complex conjugate pairs.
Input x = [3-6i -1-4i -1+4i 3+6i]
Sorted output = [-1 - 4i -1 + 4i 3 - 6i 3 + 6i]
Make a checkerboard matrix
Find the logic
find the maximum element of the matrix
Change the sign of even index entries of the reversed vector
Duplicate a character
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