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 PHP (5.6.30) (judge verdict: Wrong Answer)

<?php

$string = trim(fgets(STDIN));

$parts = explode(" ", $string);

$A	 = $parts[0];
$B	 = $parts[1];
$C	 = $parts[2];


for ($i = 0; $i < 10000; $i ++ )
{
	$test = ($i * $A) % $B;

	if ($test == $C)
	{
		echo "YES\n";
		die();
	}
}
	
echo "NO\n";
die();