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Test whether a large integer is a square

  • An algorithm for testing whether an integer is a square by taking its square root as a floating point number and rounding to an integer is discussed.
  • The old algorithm assumes the integer can be represented exactly as a floating point number, which might not hold for large integers due to floating point number limitations.
  • A better algorithm using only integer operations is presented, which is a discrete analog of Newton's square root algorithm, capable of handling arbitrarily large integers in Python.
  • The new algorithm correctly handles cases that the original algorithm couldn't, providing more accurate results for large integers.

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