【CodeForces】A. Lucky Division

Problem here

Problem

Petya loves lucky numbers. Everybody knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5,17, 467 are not.

Petya calls a number almost lucky if it could be evenly divided by some lucky number. Help him find out if the given number n is almost lucky.

Input

The single line contains an integer n (1 ≤ n ≤ 1000) — the number that needs to be checked.

Output

In the only line print “YES" (without the quotes), if number n is almost lucky. Otherwise, print “NO" (without the quotes).

Sample test(s)

input

47

output

YES

input

16

output

YES

input

78

output

NO

Note

Note that all lucky numbers are almost lucky as any number is evenly divisible by itself.

In the first sample 47 is a lucky number. In the second sample 16 is divisible by 4.

Solution

brute force

#include <iostream> using namespace std;   int nums[] = {4, 7, 44, 47, 74, 77, 444, 447, 477, 474, 747, 777, 744};   int main(){     int input;     cin >> input;     bool flat = false;     for(int i = 0; i < 13; i++){         if(input % nums[i] == 0){             flat = true;         }     }           if(flat){         cout << "YES" << endl;     }else{         cout << "NO" << endl;     }           return 0; }