codeforces 515C C. Drazil and Factorial(水题,贪心)

题目链接：

C. Drazil and Factorial

time limit per test

2 seconds

memory limit per test

256 megabytes

input

standard input

output

standard output

Drazil is playing a math game with Varda.

Let's define  for positive integer x as a product of factorials of its digits. For example, .

First, they choose a decimal number a consisting of n digits that contains at least one digit larger than 1. This number may possibly start with leading zeroes. Then they should find maximum positive number x satisfying following two conditions:

1. x doesn't contain neither digit 0 nor digit 1.

2.  = .

Help friends find such number.

Input

The first line contains an integer n (1 ≤ n ≤ 15) — the number of digits in a.

The second line contains n digits of a. There is at least one digit in a that is larger than 1. Number a may possibly contain leading zeroes.

Output

Output a maximum possible integer satisfying the conditions above. There should be no zeroes and ones in this number decimal representation.

Examples

input

4
1234

output

33222

input

3
555

output

555

Note

In the first case, 

思路：把数拆一下就是很简单了;

AC代码：

#include <bits/stdc++.h>
using namespace std;
char s[20];
int flag[10];
int main()
{
    int n;
    scanf("%d",&n);
    memset(flag,0,sizeof(flag));
    scanf("%s",s);
    for(int i=0;i<n;i++)
    {
        if(s[i]=='4')
        {
            flag[3]+=1;
            flag[2]+=2;
        }
        else if(s[i]=='6')
        {
            flag[5]+=1;
            flag[3]+=1;
        }
        else if(s[i]=='8')
        {
            flag[7]+=1;
            flag[2]+=3;
        }
        else if(s[i]=='9')
        {
            flag[7]+=1;
            flag[3]+=2;
            flag[2]+=1;
        }
        else flag[s[i]-'0']+=1;
    }
    for(int i=7;i>1;i--)
    {
        //cout<<"@"<<flag[i]<<endl;
            while(flag[i])
            {
                printf("%d",i);
                flag[i]-=1;
            }
    }
}