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
<?php

$str = trim(fgets(STDIN));
$array = explode(' ', $str);
$A = (int)$array[0];
$B = (int)$array[1];
$C = (int)$array[2];

$array = [];
for($i = 1; $i < 100; $i++){
    $Anum = $A*$i;
    $sub = $Anum % $B;
    if (!in_array($sub, $array)) {
        $array[] = $sub;
        if ($C == $sub) {
            echo "YES";
            exit;
        }
    } else {
        break;
    }
}
echo "NO";