In a previous exercise, we wrote a program to compute pandigital squares, defined as ten-digit numbers with integral square roots in which each digit zero through nine appears exactly once. We remarked at the time that our solution, though not very fast, was fast enough.

Your task is to write a program that finds pandigital squares, reducing the time and space requirements of the naive solution. 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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