You are given three strings A, B and C. Check whether they form a word chain.

More formally, determine whether both of the following are true:

* The last character in A and the initial character in B are the same.
* The last character in B and the initial character in C are the same.



If both are true, print `YES`. Otherwise, print `NO`.

Constraints

* A, B and C are all composed of lowercase English letters (`a` - `z`).
* 1 ≤ |A|, |B|, |C| ≤ 10, where |A|, |B| and |C| are the lengths of A, B and C, respectively.

Input

Input is given from Standard Input in the following format:


A B C


Output

Print `YES` or `NO`.

Examples

Input

rng gorilla apple


Output

YES


Input

yakiniku unagi sushi


Output

NO


Input

a a a


Output

YES


Input

aaaaaaaaab aaaaaaaaaa aaaaaaaaab


Output

NO
import java.io.*;
class Main{
    public static void main(String[] args)throws IOException{
        int a,b,c,i;
        int sum=0;
        BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
        a=Integer.parseInt(br.readLine());
        b=Integer.parseInt(br.readLine());
        c=Integer.parseInt(br.readLine());

        for(i=1;i<=100;i++){
            sum=a*i;
            if(sum%b==c){
                break;
            }
        }
        if(sum%b==c){
            System.out.println("YES");
        }else{
            System.out.println("NO");
        }
    }
}
