Codeforces Round #387 (Div. 2) 747A Display Size 【数学】

题目传送门：

A. Display Size

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

A big company decided to launch a new series of rectangular displays, and decided that the display must have exactlyn pixels.

Your task is to determine the size of the rectangular display — the number of lines (rows) of pixelsa 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.

Input

The first line contains the positive integer n (1 ≤ n ≤ 10⁶) — the number of pixels display should have.

Output

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

Examples

Input

8

Output

2 4

Input

64

Output

8 8

Input

5

Output

1 5

Input

999999

Output

999 1001

Note

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.

题意：将n分解成a*b，要求a<=b  且a和b尽量接近

思路：从平方根向两头找即可

#include<bits/stdc++.h>
using namespace std;
#define  LL long long
#define  m(a) memset(a,0,sizeof(a))
int main()
{
    int n;
    while(~scanf("%d",&n))
    {
        for(int i=(int)sqrt(n*1.0);i>=1;i--)
        {
            if(n%i==0)
            {
                printf("%d %d\n",i,n/i);
                break;
            }
        }
    }
    return 0;
}