Given an array a1, a2, ..., an of n integers, find the largest number in the array that is not a perfect square.

A number x is said to be a perfect square if there exists an integer y such that x = y2.

Input

The first line contains a single integer n (1 ≤ n ≤ 1000) — the number of elements in the array.

The second line contains n integers a1, a2, ..., an ( - 106 ≤ ai ≤ 106) — the elements of the array.

It is guaranteed that at least one element of the array is not a perfect square.

Output

Print the largest number in the array which is not a perfect square. It is guaranteed that an answer always exists.

Examples

Input

2
4 2


Output

2


Input

8
1 2 4 8 16 32 64 576


Output

32

Note

In the first sample case, 4 is a perfect square, so the largest number in the array that is not a perfect square is 2.
#include <bits/stdc++.h>
int main() {
  int n, i;
  long a[1000], temp, j, k;
  scanf("%d", &n);
  for (i = 0; i < n; i++) scanf("%ld", &a[i]);
  for (j = 0; j < n - 1; j++) {
    for (i = 0; i < n - j - 1; i++) {
      if (a[i] < a[i + 1]) {
        temp = a[i];
        a[i] = a[i + 1];
        a[i + 1] = temp;
      }
    }
  }
  for (i = 0; i < n; i++) {
    k = sqrt(a[i]);
    if (k * k != a[i]) {
      printf("%ld", a[i]);
      break;
    }
  }
  return 0;
}
