#include <bits/stdc++.h>
using namespace std;
int n, num[10];
int main() {
  cin >> n;
  for (int i = 0; i < n; i++) {
    char c;
    cin >> c;
    if (c == '2')
      num[2]++;
    else if (c == '3')
      num[3]++;
    else if (c == '4')
      num[2] += 2, num[3]++;
    else if (c == '5')
      num[5]++;
    else if (c == '6')
      num[5]++, num[3]++;
    else if (c == '7')
      num[7]++;
    else if (c == '8')
      num[7]++, num[2] += 3;
    else if (c == '9')
      num[7]++, num[3] += 2, num[2]++;
  }
  for (int i = 7; i > 0; i--)
    for (int j = 0; j < num[i]; j++) cout << i;
}

### Prompt

In CPP, your task is to solve the following problem:

Drazil is playing a math game with Varda.

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

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. <image> = <image>.

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, <image>

### Response

```cpp
#include <bits/stdc++.h>
using namespace std;
int n, num[10];
int main() {
  cin >> n;
  for (int i = 0; i < n; i++) {
    char c;
    cin >> c;
    if (c == '2')
      num[2]++;
    else if (c == '3')
      num[3]++;
    else if (c == '4')
      num[2] += 2, num[3]++;
    else if (c == '5')
      num[5]++;
    else if (c == '6')
      num[5]++, num[3]++;
    else if (c == '7')
      num[7]++;
    else if (c == '8')
      num[7]++, num[2] += 3;
    else if (c == '9')
      num[7]++, num[3] += 2, num[2]++;
  }
  for (int i = 7; i > 0; i--)
    for (int j = 0; j < num[i]; j++) cout << i;
}

```