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 PHP (5.6.30) (judge verdict: Wrong Answer)

<?php
$a = fgets(STDIN);
$b = $a / 4; 
$c = $a / 7;

$count = 0;

for($i=0; $i< $b; $i++){
    for($s=0; $s< $c; $s++){
        if(($i * 4) + ($s * 7) == $a){
            $count++;
        }
    }
}

if($count > 0){
    echo "YES";
}else{
    echo "NO";
}

?>