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Grokking the Coding Interview Patterns in JavaScript

Solution: Minimum Operations to Make the Integer Zero

Explore how to determine the minimum number of operations needed to reduce a given integer to zero using bitwise manipulation. Understand the approach of representing the target value as a sum of powers of two, and learn to apply conditions on set bits and operation counts to find the solution efficiently.

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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:

  • 1≤1 \leq num1 ≤109 ...