Odd Occurrences In Array - Objective C Solution

PROBLEM

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:

int solution(NSMutableArray *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.

OBJECTIVE-C SOLUTION O(n) - XOR Approach

Results given by Codility

Task Score: 100%
Correctness: 100%
Performance: 100%

Time Complexity

The worst case time complexity is O(N) or O(N*log(N))

Xcode Solution Here

+(int)XORSolution:(NSMutableArray*)array {
    /******** Algorithm Explanation: XOR Approach ********/
    // XOR of all array elements gives us the number with single occurrence.
    // The idea is based on following two facts:
    // 1.- XOR of a number with itself is 0.
    // 2.- XOR of a number with 0 is number itself.

    int res = [[array objectAtIndex:0] intValue];
    for (int i = 1; i<[array count]; i++) {
        res = res ^ [[array objectAtIndex:i] intValue];
    }
    return res;
}