חידת התרמילאים והעוגיות

package ttt;
import java.util.*;

public class cookies {
    static Scanner scan = new Scanner(System.in);

    private static boolean howManyCookies(int p, int c)
    {
        c=c-1;
        if(!(c%p==0)) return false;
        for(int i=0; i<p; i++)
        {
            c=c/p*(p-1)-1;
            if(c%p!=0)
                return false;
        }
        return true;
    }

    public static void main(String[] args)
    {
        int c=1;
        System.out.print("Enter the number of people: ");
        int p = scan.nextInt();
        while(!howManyCookies(p, c))
            c++;
        System.out.print(c);

    }
}