Odd Occurrences In Array Find value odd number of elements.

OddOccurrencesInArray :Find value that occurs in odd number of elements.

Simple Solution is to run two nested loops. The outer loop picks all elements one by one and inner loop counts a number of occurrences of the element picked by the outer loop. The time complexity of this solution is O(n2).

Task description

A non-empty array A consisting of N integers is given. The array contains an odd number of elements, and each element of the array can be paired with another element that has the same value, except for one element that is left unpaired.

For example, in array A such that: A[0] = 9 A[1] = 3 A[2] = 9 A[3] = 3 A[4] = 9 A[5] = 7 A[6] = 9

  • the elements at indexes 0 and 2 have value 9,
  • the elements at indexes 1 and 3 have value 3,
  • the elements at indexes 4 and 6 have value 9,
  • the element at index 5 has value 7 and is unpaired.

Write a function:

function solution(A);

that, given an array A consisting of N integers fulfilling the above conditions, returns the value of the unpaired element.

For example, given array A such that: A[0] = 9 A[1] = 3 A[2] = 9 A[3] = 3 A[4] = 9 A[5] = 7 A[6] = 9

the function should return 7, as explained in the example above.

Write an efficient algorithm for the following assumptions:

  • N is an odd integer within the range [1..1,000,000];
  • each element of array A is an integer within the range [1..1,000,000,000];
  • all but one of the values in A occur an even number of times.
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');

function solution(A) {
    // write your code in JavaScript (Node.js 4.0.0)
    var agg = 0;
    for(var i=0; i<A.length; i++) {
        agg ^= A[i];
    return agg;

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