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Solution: Minimum Operations to Make the Integer Zero

Discover how to determine the least number of operations to make an integer zero by subtracting sums of powers of two combined with a constant integer. Understand the strategy of checking conditions on target values, counting set bits, and iterating through possible operation counts. This lesson helps you grasp efficient bitwise manipulation techniques for solving integer reduction problems.

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`}) from num1.

Determine the minimum number of operations required to reduce num1 to exactly 00.

If it is not possible to make num1 equal to 00, return 1-1.

Note: In each operation, you are free to choose a different value of i.

Constraints:

  • 11 \leq num1 109 ...