This is cheating.
it's not, this is a direct and clever solution to the specified problem which would not work for other arbitrary Cody problems, hence not cheating (in my book)
Determine whether a vector is monotonically increasing
Finding Perfect Squares
Relative pose in 2D: problem 1
Determine roll pitch yaw angles from a 3D rotation matrix
Orientation of a 3D coordinate frame
Homogeneous lines and points in 2D: problem 1
Relative points in 2D: problem 2
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