I have started playing with codility and came across this problem:

A zero-indexed array A consisting of N different integers is given. The array contains integers in the range [1..(N + 1)], which means that exactly one element is missing.

Your goal is to find that missing element.

Write a function:

int solution(int A[], int N); 

that, given a zero-indexed array A, returns the value of the missing element.

For example, given array A such that:

A[0] = 2 A[1] = 3 A[2] = 1 A[3] = 5

the function should return 4, as it is the missing element.

Assume that:

    N is an integer within the range [0..100,000];
    the elements of A are all distinct;
    each element of array A is an integer within the range [1..(N + 1)].

Complexity:

    expected worst-case time complexity is O(N);
    expected worst-case space complexity is O(1), beyond input storage (not counting the storage required for input arguments).

I have submitted the following solution (in PHP):

function solution($A) {
    $nr = count($A);
    $totalSum = (($nr+1)*($nr+2))/2;
    $arrSum = array_sum($A);
    return ($totalSum-$arrSum);
}

which gave me a score of 66 of 100, because it was failing the test involving large arrays: "large_range range sequence, length = ~100,000" with the result: RUNTIME ERROR tested program terminated unexpectedly stdout: Invalid result type, int expected.

I tested locally with an array of 100.000 elements, and it worked without any problems. So, what seems to be the problem with my code and what kind of test cases did codility use to return "Invalid result type, int expected"?