Problem: Today, Osama gave Fadi an integer X, and Fadi was wondering about the minimum possible value of max(a, b) such that LCM(a, b) equals X. Both a and b should be positive integers.

LCM(a, b) is the smallest positive integer that is divisible by both a and b. For example, LCM(6, 8) = 24, LCM(4, 12) = 12, LCM(2, 3) = 6.

Of course, Fadi immediately knew the answer. Can you be just like Fadi and find any such pair?

Input

The first and only line contains an integer X (1 ≤ X ≤ 10^{12}).

Output

Print two positive integers, a and b, such that the value of max(a, b) is minimum possible and LCM(a, b) equals X. If there are several possible such pairs, you can print any.

Examples

Input


2


Output


1 2


Input


6


Output


2 3


Input


4


Output


1 4


Input


1


Output


1 1

Solution (in PYTHON3):

Solution:
x = int(input())
xx = x
li = []
for i in range(2, x):
    if xx%i==0:
        cnt = 0
        while xx%i==0:
            xx//=i
            cnt += 1
        li.append(i**cnt)
    if xx==1:
        break
    if i*i>x:
        li.append(xx)
        break
mn = x+1
for i in range(2**len(li)):
    tmp = 1
    for j in range(len(li)):
        if i>>j&1:
            tmp *= li[j]
    y = max(tmp, x//tmp)
    if y < mn:
        mn = y
        ans = (tmp, x//tmp)
print(*ans)