Search⌘ K
AI Features
Home
Courses
Grokking the Coding Interview Patterns

Solution: Minimum Operations to Make the Integer Zero

Learn to determine the minimum number of operations required to convert a given integer to zero by subtracting sums of powers of two plus another integer. This lesson teaches how to use bitwise manipulation, set bit counting, and mathematical conditions to efficiently solve the problem within fixed iteration bounds.

We'll cover the following...

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 ...