Web Reference: Oct 3, 2025 · To find the two numbers occurring odd times, we first compute the XOR of all array elements, resulting in x ^ y, because elements occurring even times cancel out. This XOR value tells us where x and y differ. We then find the rightmost set bit in this XOR value to use as a distinguishing filter. When working with arrays, you might need to remove elements that appear an odd number of times (excluding elements that appear only once). This tutorial shows how to implement this functionality in JavaScript. This is the most effective and efficient algorithm to find an odd occurring element from a given array. It uses two basic properties of XOR: Self-inverse and Identity properties which mean-Any element XORed with itself gives zero (A ⊕ A = 0) and any element XOR’d with zero left unchanged (A ⊕ 0 = A) respectively.
YouTube Excerpt: In this video, we delve into an interesting challenge: finding the
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