README.md

Introduction

This C++ project includes an efficient algorithm for rearranging elements in an integer array such that all zeros are moved to the end while maintaining the relative order of the non-zero elements. This manipulation is performed in-place, demonstrating an efficient use of memory and computational resources.

Algorithm

Move Zeroes

Logic

The algorithm uses a two-pointer approach to process the array. The left pointer marks the position for the next non-zero element, and the right pointer scans through the array looking for non-zero elements. When a non-zero element is found by the right pointer, it is swapped with the element at the left pointer if they are not the same, effectively moving all zeros to the end while maintaining the order of non-zero elements.

Complexity Analysis

• Time Complexity: O(n) - The algorithm scans through the array a single time, making the time complexity linear with respect to the size of the input array.
• Space Complexity: O(1) - It operates in-place with a constant amount of extra space, leading to constant space complexity.

Code Snippet

void moveZeroes(vector<int>& nums) {
    int len = nums.size();
    if (len == 0 || len == 1) { return; }

    int left = 0, right = 0;
    while (right < len) {
        if (nums[right] != 0) {
            if (right != left) {
                nums[left] = nums[right];
                nums[right] = 0;
            }
            left++;
        }
        ++right;
    }
}