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Single Element in a Sorted Array

Explore how to locate the single non-duplicated element in a sorted array where every other element appears twice. Learn to apply a modified binary search method to achieve an efficient solution with logarithmic time and constant space complexity.

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

  • 00 \leq nums[i] 103\leq 10^3

Examples

Understand the problem

Let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps us to check if you’re solving the correct problem:

Single Element in a Sorted Array

1.

What is the output if the following array is provided as input?

[1, 1, 2, 2, 3, 4, 4]

A.

1

B.

3

C.

2

D.

4


1 / 3

Figure it out!

We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.

Sequence - Vertical
Drag and drop the cards to rearrange them in the correct sequence.

1
2
3
4
5

Try it yourself

Implement your solution in the following coding playground:

C++
usercode > main.cpp
int SingleNonDuplicate(vector<int> nums)
{
// Replace this placeholder return statement with your code
return -1;
}
Single Element in a Sorted Array