Codeforces Beta Round #91 (Div. 2) / 122A Lucky Division (数论)

A. Lucky Division

http://codeforces.com/problemset/problem/122/A

time limit per test

2 seconds

memory limit per test

256 megabytes

input

standard input

output

standard output

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.

由于范围较小，可以先求出1000以内的所有lucky numbers（14个），再判断即可。

完整代码：

/*30ms,0KB*/

#include <cstdio>
const int lucky[14] = {4, 7, 44, 47, 74, 77, 444, 447, 474, 477, 744, 747, 774, 777};

int main(void)
{
	int num;
	scanf("%d", &num);
	bool yes = false;
	for (int i = 0; i < 14; ++i)
		if (num % lucky[i] == 0)
		{
			yes = true;
			break;
		}
	puts(yes ? "YES" : "NO");
	return 0;
}