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 C# (Mono 4.6.2.0) (judge verdict: Wrong Answer)

using System;

namespace CakesandDonuts
{
    class Program
    {
        static void Main(string[] args)
        {
            string result = "No";
            byte n = byte.Parse(Console.ReadLine());

            if (n % 7 != 0 && n % 4 != 0)
            {
                int sevenNum = n / 7;
                if (7 * sevenNum + 4 == n || (sevenNum > 0 && (7 * (sevenNum - 1) + 8 == n || 7 * (sevenNum - 1) + 14 == n)))
                {
                    result = "Yes";
                }

                int fourNum = n / 4;
                if (fourNum > 0 && 4 * (fourNum - 1) + 7 == n)
                {
                    result = "Yes";
                }
            }
            else
            {
                result = "Yes";
            }

            Console.WriteLine(result);
        }
    }
}