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
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
 
class Program
{
    static void Main(string[] args)
    {
        int a,b,c;
        string[] str = Console.ReadLine().Split(' ');
        a = int.Parse(str[0]);
        b = int.Parse(str[1]);
        c = int.Parse(str[2]);
        int i;
        for(i = 0; i < 1000; i++){
            int x = b * i + c;
            if(x % a == 0){
                Console.WriteLine("YES");
                break;
            }
        }
        if(i == 1000){
            Console.WriteLine("NO");
        }
    }
}