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Bitwise Manipulation StrategiesBitwise operators provide efficient mechanisms for performing arithmetic operations directly on binary representations.Efficient Division and MultiplicationRight-shifting a binary integer by one position effectively divides the number by two, discarding the remainder. Conversely, left-shifting by one position mult ...

Overview of NumPy NumPy (Numerical Python) is a powerful extension libray for Python that provides support for large, multi-dimensional arrays and matrices. It also offers a comprehensive collection of mathematical functions to operate on these arrays efficiently. NumPy's origins trace back to Numeric, originally developed by Jim Hugunin along ...