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

Solution: Minimum Operations to Make the Integer Zero

Explore the bitwise approach to solve the problem of reducing an integer to zero through minimum operations. Understand how to combine powers of two and multiples of a given number to achieve an optimal solution efficiently. This lesson helps you analyze conditions and apply bitwise counting techniques for algorithm optimization.

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 ...