CF1285C.Fadi and LCM

普及/提高-

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题目描述

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

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

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

输入格式

The first and only line contains an integer XX ( 1X10121 \le X \le 10^{12} ).

输出格式

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

输入输出样例

  • 输入#1

    2

    输出#1

    1 2
  • 输入#2

    6

    输出#2

    2 3
  • 输入#3

    4

    输出#3

    1 4
  • 输入#4

    1

    输出#4

    1 1
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