#K88332. Find the Unique Element

    ID: 37285 Type: Default 1000ms 256MiB

Find the Unique Element

Find the Unique Element

You are given an array of N integers in which every element appears exactly three times except for one element that appears exactly once. Your task is to find and print that unique element.

Mathematically, if the array is denoted as \(A = [a_1, a_2, \dots, a_N]\), then for all \(x \in A\) except the unique element \(u\), we have that the frequency of \(x\) is 3. In other words, if \(\text{freq}(x)\) denotes the number of times \(x\) appears in \(A\), then:

[ \text{freq}(x) = 3 \quad \text{for all } x \neq u, \quad \text{and} \quad \text{freq}(u) = 1. ]

It is recommended to use bit manipulation techniques to solve this problem in linear time and constant space.

inputFormat

The first line contains an integer N representing the number of elements in the array. The second line contains N space-separated integers representing the array elements.

Example:

7
2 2 3 2 4 4 4

outputFormat

Output a single integer which is the element that appears exactly once in the array.

Example:

3
## sample
7
2 2 3 2 4 4 4
3