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;

namespace program{

	class workspace{

		static void Main(){
			//int input = int.Parse(Console.ReadLine());
			string[] str = (Console.ReadLine().Split());
			int a = int.Parse(str[0]);
			int b = int.Parse(str[1]);
			int c = int.Parse(str[2]);

			for(int i = 1; i < b+1; i++){
				if(i*a % b == c){
					Console.Write("yes");
					Environment.Exit(0);
				}
			}
			Console.Write("NO");

		}

	}

}