Problem:
Score : 200 points

Problem Statement

La Confiserie d'ABC sells cakes at 4 dollars each and doughnuts at 7 dollars each.
Determine if there is a way to buy some of them for exactly N dollars. You can buy two or more doughnuts and two or more cakes, and you can also choose to buy zero doughnuts or zero cakes.

Constraints

N is an integer between 1 and 100, inclusive.

Input

Input is given from Standard Input in the following format:

N

Output

If there is a way to buy some cakes and some doughnuts for exactly N dollars, print Yes; otherwise, print No.

Sample Input 1

11

Sample Output 1

Yes

If you buy one cake and one doughnut, the total will be 4 + 7 = 11 dollars.

Sample Input 2

40

Sample Output 2

Yes

If you buy ten cakes, the total will be 4 \times 10 = 40 dollars.

Sample Input 3

3

Sample Output 3

No

The prices of cakes (4 dollars) and doughnuts (7 dollars) are both higher than 3 dollars, so there is no such way.

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

    import java.util.Scanner;
     
    public class Main {
    	public static void main (String[] args) {
    		Scanner sc = new Scanner(System.in);
    		int N = sc.nextInt();
    		
    		int price = 0;
    		
    		for (int i = 0; i < 30; i++) {
    			
    			price += 4 * i;
    			
    			for (int j = 0; j < 20; j++) {
    				
    				if (N == price) {
    					System.out.println("Yes");
    					return;
    				}
    				
    				price += 7;
    			
    			}
    			
    			price = 0;
    			
    		}
    		
    		System.out.println("No");
    		
    	}
    }