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Noble Integer

Problem Description

Given an integer array A, find if an integer p exists in the array such that the number of integers greater than p in the array equals to p.

Input Format

First and only argument is an integer array A.

Output Format

Return 1 if any such integer p is found else return -1.

Example Input

Input 1:

 A = [3, 2, 1, 3]

Input 2:

 A = [1, 1, 3, 3]

Example Output

Output 1:


Output 2:


Example Explanation

Explanation 1:

 For integer 2, there are 2 greater elements in the array. So, return 1.

Explanation 2:

 There is no such integer exists.

NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a doubt? Checkout Sample Codes for more details.
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