LeetCode 1611: Minimum One Bit Operations to Make Integers Zero Solution

Master LeetCode problem 1611 (Minimum One Bit Operations to Make Integers Zero), a hard 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.

1611. Minimum One Bit Operations to Make Integers Zero

Hard

Dynamic Programming Bit Manipulation Memoization

Problem Explanation

Explanation:

To solve this problem, we can use a backtracking approach. We start with the given integer n and try to reach 0 by applying the allowed operations. The key insight here is that the most significant bit (MSB) of n determines the number of steps required to reach 0. We can recursively apply the operations to zero out the MSB of n.

If the MSB is 0, we can simply drop that bit and continue with the rest of the number.
If the MSB is 1, we need to flip it to 0. To do this, we recursively zero out the rest of the bits below MSB.

By considering the position of the MSB, we can determine the minimum number of operations needed to reach 0.

Time Complexity: The time complexity of this approach is O(log n) where n is the given integer.

Space Complexity: The space complexity is O(log n) due to the recursive calls.

Solution Code

class Solution {
    public int minimumOneBitOperations(int n) {
        return helper(n, true);
    }
    
    private int helper(int n, boolean isMSB) {
        if (n == 0) return 0;
        
        if (isMSB) {
            int msb = 1;
            while ((msb << 1) <= n) {
                msb <<= 1;
            }
            return helper(n ^ msb, false) + 1 + helper(msb >> 1, true);
        } else {
            return helper(n, true);
        }
    }
}

Try It Yourself

Loading code editor...

Frequently Asked Questions

How to solve LeetCode 1611 (Minimum One Bit Operations to Make Integers Zero)?

This page provides optimized solutions for LeetCode problem 1611 (Minimum One Bit Operations to Make Integers Zero) in Java, C++, and Python, along with a detailed explanation and an interactive code editor to test your code.

What is the time complexity of LeetCode 1611 (Minimum One Bit Operations to Make Integers Zero)?

The time complexity for LeetCode 1611 (Minimum One Bit Operations to Make Integers Zero) varies by solution. Check the detailed explanation section for specific complexities in Java, C++, and Python implementations.

Can I run code for LeetCode 1611 on DevExCode?

Yes, DevExCode provides an interactive code editor where you can write, test, and run your code for LeetCode 1611 in Java, C++, or Python.

Back to LeetCode Solutions