Problem:
Score : 100 points

Problem Statement

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.

Sample Input 1

rng gorilla apple

Sample Output 1

YES

They form a word chain.

Sample Input 2

yakiniku unagi sushi

Sample Output 2

NO

A and B form a word chain, but B and C do not.

Sample Input 3

a a a

Sample Output 3

YES

Sample Input 4

aaaaaaaaab aaaaaaaaaa aaaaaaaaab

Sample Output 4

NO

Solution in C# (Mono 4.6.2.0) (judge verdict: Runtime Error)

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");

		}

	}

}