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

Solution: Minimum Operations to Make the Integer Zero

Understand how to minimize the number of operations needed to make an integer zero by subtracting combinations of powers of two and another integer. Explore bitwise techniques and constraints that allow efficient calculation of the solution and learn to analyze the problem with set bits and iteration within a fixed range.

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 ...