Find the only repeating element in a sorted array of size n - GeeksforGeeks


Find the only repeating element in a sorted array of size n - GeeksforGeeks
Given a sorted array of n elements containing elements in range from 1 to n-1 i.e. one element occurs twice, the task is to find the repeating element in an array.

An efficient method is to use Binary Search .
1- Check if the middle element is the repeating one.
2- If not then check if the middle element is at proper position if yes then start searching repeating element in right.
3- Otherwise the repeating one will be in left.
int findRepeatingElement(int arr[], int low, int high)
{
    // low = 0 , high = n-1;
    if (low > high)
        return -1;
    int mid = (low + high) / 2;
    // Check if the mid element is the repeating one
    if (arr[mid] != mid + 1)
    {
        if (mid > 0 && arr[mid]==arr[mid-1])
            return mid;
        // If mid element is not at its position that means
        // the repeated element is in left
        return  findRepeatingElement(arr, low, mid-1);
    }
    // If mid is at proper position then repeated one is in
    // right.
    return findRepeatingElement(arr, mid+1, high);
}
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