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:
n = int(input())
prime_factors = {}
while n % 2 == 0:
    if 2 not in prime_factors:
        prime_factors[2] = 0
    prime_factors[2] += 1
    n /= 2
p = 3
while n > 1:
    while n % p == 0:
        if p not in prime_factors:
            prime_factors[p] = 0
        prime_factors[p] += 1
        n /= p
    if p*p > n:
        if int(n) not in prime_factors:
            prime_factors[int(n)] = 0
        prime_factors[int(n)] += 1
        break
    p += 2

# print(prime_factors)

a = 1
b = 1

nums = sorted([key**occ for key, occ in prime_factors.items() if key*occ != 1])
# print(nums)

def rec(a, b, nums):
    if len(nums) == 0:
        return (a,b)
    curr = nums[-1]
    nums.remove(curr)
    best_a = rec(a, b*curr, nums)
    best_b = rec(a*curr, b, nums)
    nums.append(curr)
    if max(best_a) < max(best_b):
        a = best_a[0]
        b = best_a[1]
    else:
        a = best_b[0]
        b = best_b[1]
    return (a,b)


a,b = rec(1, 1, nums)
print("{} {}".format(a,b))



# for key, occ in prime_factors.items():
#     if a > b:
#         b *= key * occ
#     else:
#         a *= key * occ

# print("{} {}\n".format(a, b))