LeetCode 1342: Number of Steps to Reduce a Number to Zero Solution

Master LeetCode problem 1342 (Number of Steps to Reduce a Number to Zero), a easy challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.

1342. Number of Steps to Reduce a Number to Zero

Easy

Math Bit Manipulation

Problem Explanation

Explanation

To solve this problem, we can iteratively perform the given operations on the number until it reaches zero. We check if the number is even, then divide by 2, otherwise subtract 1. We keep track of the number of steps taken and return this count as the result.

Algorithm:
1. Initialize a variable steps to 0.
2. While num is greater than 0:
  - If num is even, divide it by 2.
  - If num is odd, subtract 1 from it.
  - Increment steps by 1.
3. Return steps.
Time Complexity: O(log(num)) - as the number is halved at each step.
Space Complexity: O(1) - only constant space is used.

Solution Code

class Solution {
    public int numberOfSteps (int num) {
        int steps = 0;
        while (num > 0) {
            if (num % 2 == 0) {
                num /= 2;
            } else {
                num -= 1;
            }
            steps++;
        }
        return steps;
    }
}

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