Today’s exercise is a simple little interview question:

Generate the pairs of cartesian coordinates within a square bounded by (1,1) and (n,n) ordered by their product in ascending order. For instance, when n is 3, the coordinates are (1,1), (1,2), (2,1), (1,3), (3,1), (2,2), (2,3), (3,2) and (3,3). Can you find a solution with time complexity better than O(n2)?

Your task is to write a program to solve the interview question. When you are finished, you are welcome to read or run a suggested solution, or to post your own solution or discuss the exercise in the comments below.


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