Problem
This morning Chef wants to jump a little. In a few minutes he will arrive at the point 0. Then he will perform a lot of jumps in such a sequence: 1-jump, 2-jump, 3-jump, 1-jump, 2-jump, 3-jump, 1-jump, and so on.
1-jump means that if Chef is at the point x, he will jump to the point x+1.
2-jump means that if Chef is at the point x, he will jump to the point x+2.
3-jump means that if Chef is at the point x, he will jump to the point x+3.
Before the start Chef asks you: will he arrive at the point a after some number of jumps?
Input
The first line contains a single integer a denoting the point Chef asks about.
Output
Output "yes" without a quotes if Chef can arrive at point a or "no" without a quotes otherwise.
Constraints
- 0 ≤ a ≤ 1018
Sample 1:
0
yes
Sample 2:
1
yes
Sample 3:
2
no
Sample 4:
3
yes
Sample 5:
6
yes
Sample 6:
7
yes
Sample 7:
10
no
Explanation:
The first reached points are: 0 (+1) 1 (+2) 3 (+3) 6 (+1) 7, and so on.
Program :
import java.util.*;
import java.lang.*;
import java.io.*;
/* Name of the class has to be "Main" only if the class is public. */
class Codechef
{
public static void main (String[] args) throws java.lang.Exception
{
// By Midhilesh
Scanner sc=new Scanner(System.in);
long a=sc.nextLong();
long p=1,q=2,r=3;
if((a-p)%6==0 ||(a-q-p)%6==0 || (a-r-q-p)%6==0 ||a==0)
System.out.println("yes");
else
System.out.println("no");
}
}
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