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.Linq;
        using System.Collections.Generic;
        using static System.Math;
 
        public class Program
        {
            public static void Main(string[] args)
            {
            int[] input = Console.ReadLine().Split(' ').Select(int.Parse).ToArray();
            int[] sec = Console.ReadLine().Split(' ').Select(int.Parse).ToArray();
            int sum = sec[0] == 0? input[1]: 0;
            int stock = 0;
 
            for(int i = 1; i < input[0]; i++)
            {
                if(sec[i] - sec[i - 1] >= input[1])
                {
                    sum += input[1];
                }
                else
                {
                    stock = sec[i];
                }
            }
 
            Console.WriteLine(sum + stock);
            }
        }