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.
import math
INF = 999999999999999999L
EPS = 1e-12

def read():
    return raw_input().strip()

def read_ints():
    return map(int,read().split())

def is_square(x):
    if x < 0:
        return False 
    root = int(math.sqrt(x))
    return root*root == x or (root+1)*(root+1) == x
    
n = int(read())
a = read_ints()
ans = -INF 
for x in a:
    if not is_square(x):
        ans = max(ans,x)
print ans 
