5323: Drazil and Factorial
内存限制：256 MB
时间限制：2 S
标准输入输出
题目类型：传统
评测方式：文本比较
上传者：
提交：0
通过：0
题目描述
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.
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, 
输入样例 复制
输出样例 复制