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
......
import java.util.Scanner;
public class Main {
static int fn[]=new int[10];
public static void main(String[] args) {
Scanner sc=new Scanner(System.in);
dashu();
for(int i=1;i<9999999;i++){
if(isTrue(i)){
System.out.println(i);
}
}
}
public static void dashu(){
fn[0]=1;
for(int i=1;i<fn.length;i++){
fn[i]=1;
for(int j=1;j<=i;j++){
fn[i]=fn[i]*j;
}
}
}
public static boolean isTrue(int i){
if(i==1||i==2){
return true;
}
int n=i,sum=0;
while(n!=0){
int m=n%10;
sum+=fn[m];
n=n/10;
}
if(sum==i){
return true;
}
return false;
}
}