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Minimum Operations to Make the Integer Zero

Explore how to determine the minimum number of operations required to reduce a given integer to zero by selectively subtracting values created from powers of two combined with a second integer. Understand bitwise manipulation and problem constraints to develop a solution that handles large integer ranges effectively.

Statement

You are given two integers num1 and num2.

In a single operation, you may select any integer i within the range [0,60][0, 60] and subtract (2i+‘num2‘)(2^i + \text{`num2`}) ...