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Solution: Single Element in a Sorted Array

Explore a modified binary search technique to find the single element in a sorted array where every other element appears twice. Understand how to adjust pointers and use indexing properties to achieve efficient O(log n) time and O(1) space complexity solutions.

Statement

You are given a sorted array of integers, nums, where all integers appear twice except for one. Your task is to find and return the single integer that appears only once.

The solution should have a time complexity of O(logn)O(\log n) or better and a space complexity of O(1)O(1).

Constraints:

  • 11 \leq nums.length 103\leq 10^3 ...