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Single Number II

Explore how to identify the two unique numbers in an array where all other elements appear twice, using efficient bitwise manipulation techniques. This lesson helps you implement a solution that operates with constant extra space, deepening your understanding of bitwise operations for coding interviews.

Statement

Given a non-empty array arr, in which exactly two elements appear once, and all the other elements appear twice, return the two elements that appeared only once.

Note: The result can be returned in any order. The solution should use only constant extra space.

Constraints:

  • 22 \leq arr.length 103\leq 10^3

  • 231−2^{31} \leq arr[i] 2311\leq 2^{31}-1

Examples

Understand the problem

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

Two Single Numbers

1.

(Select all that apply.) What is the output if the following array is given as an input?

arr = [1, 6, 2, 1, 2, 4, 7, 4] Multi-select

A.

[6, 2]

B.

[6, 7]

C.

[7, 6]

D.

[1, 2, 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
#include <iostream>
#include <vector>
vector<int> TwoSingleNumbers(vector<int> arr)
{
// Replace this placeholder return statement with your code
return {};
}
Single Number II