Display Size

题意翻译

一个高端大气上档次的公司决定推出一款新系列的矩形显示器。并且他们规定:这个矩形显示器必须有n个像素。 现在,他们交给你一个任务:确定矩形显示器的显示大小。 当然,他们还有一些条件: 第一,显示器上必须正好有n个像素; 第二,每一行的像素个数a不能超过每一列的像素个数b, 即a<=b; 第三,你必须让b-a的差尽可能小。 输入: 一个自然数n(1<=n<=1e6) 输出: a和b

题目描述

A big company decided to launch a new series of rectangular displays, and decided that the display must have exactly $ n $ pixels. Your task is to determine the size of the rectangular display — the number of lines (rows) of pixels $ a $ and the number of columns of pixels $ b $ , so that: - there are exactly $ n $ pixels on the display; - the number of rows does not exceed the number of columns, it means $ a<=b $ ; - the difference $ b-a $ is as small as possible.

输入输出格式

输入格式


The first line contains the positive integer $ n $ ( $ 1<=n<=10^{6} $ ) — the number of pixels display should have.

输出格式


Print two integers — the number of rows and columns on the display.

输入输出样例

输入样例 #1

8

输出样例 #1

2 4

输入样例 #2

64

输出样例 #2

8 8

输入样例 #3

5

输出样例 #3

1 5

输入样例 #4

999999

输出样例 #4

999 1001

说明

In the first example the minimum possible difference equals 2, so on the display should be 2 rows of 4 pixels. In the second example the minimum possible difference equals 0, so on the display should be 8 rows of 8 pixels. In the third example the minimum possible difference equals 4, so on the display should be 1 row of 5 pixels.