Problem Description

A DFS(digital factorial sum) number is found by summing the factorial of every digit of a positive integer.

For example ,consider the positive integer 145 = 1!+4!+5!, so it's a DFS number.

Now you should find out all the DFS numbers in the range of int( [1, 2147483647] ).

There is no input for this problem. Output all the DFS numbers in increasing order. The first 2 lines of the output are shown below.

Input

no input

Output

Output all the DFS number in increasing order.

Sample Output

1
2
......

Author

zjt

1 #include<stdio.h>
2 int main()
3 {
4     printf("1\n2\n145\n40585\n");
5     return 0;
6 }

 

 
 
敲代码算出来（时间有点长....发现只有四个答案就）