James just bought himself a new deck of cards!

James has just counted through the cards and had make sure that there were ~52~ of them. However, James isn't sure if the deck he has is faulty! He wants to know if all the cards in the deck could make a complete deck, of each of the suits (Spades, Hearts, Clubs, Diamonds) and of each of the values (Ace to King). Could you help James out?

Input

Your first ~52~ lines each contains a card string of the format "[Ace|2|3|4|5|6|7|8|9|10|Jack|Queen|King] of [Spades|Hearts|Clubs|Diamonds]".

Output

Output "YES" if the deck is complete, and "NO" otherwise.

Example 1

Input

6 of Spades
King of Clubs
4 of Hearts
3 of Clubs
Queen of Diamonds
5 of Clubs
3 of Spades
4 of Clubs
Ace of Spades
9 of Spades
10 of Spades
8 of Spades
7 of Diamonds
5 of Hearts
6 of Clubs
Queen of Clubs
Jack of Diamonds
7 of Spades
Ace of Diamonds
Jack of Spades
2 of Spades
6 of Diamonds
Ace of Hearts
King of Diamonds
10 of Clubs
10 of Hearts
4 of Diamonds
8 of Hearts
5 of Spades
2 of Diamonds
7 of Hearts
3 of Diamonds
9 of Diamonds
9 of Hearts
3 of Hearts
9 of Clubs
Queen of Hearts
10 of Diamonds
2 of Clubs
6 of Hearts
2 of Hearts
Ace of Clubs
Jack of Hearts
King of Hearts
Jack of Clubs
8 of Clubs
Queen of Spades
8 of Diamonds
4 of Spades
King of Spades
7 of Clubs
5 of Diamonds

Output

YES

Explanation

The cards in this deck covers every suit and value, which means this deck is complete.

Example 2

Input

9 of Clubs
10 of Clubs
King of Spades
8 of Spades
6 of Diamonds
Jack of Hearts
4 of Diamonds
7 of Diamonds
3 of Spades
5 of Hearts
10 of Hearts
4 of Diamonds
10 of Hearts
4 of Spades
8 of Spades
5 of Spades
4 of Spades
6 of Spades
Jack of Spades
5 of Diamonds
7 of Hearts
8 of Clubs
8 of Diamonds
Ace of Diamonds
9 of Clubs
5 of Diamonds
7 of Spades
8 of Diamonds
2 of Clubs
5 of Hearts
Queen of Clubs
4 of Spades
Queen of Hearts
6 of Clubs
King of Spades
Queen of Clubs
10 of Hearts
7 of Diamonds
8 of Hearts
Ace of Hearts
8 of Hearts
8 of Diamonds
Jack of Diamonds
4 of Diamonds
4 of Clubs
10 of Spades
Jack of Hearts
4 of Spades
Queen of Diamonds
9 of Diamonds
9 of Clubs
6 of Hearts

Output

NO

Explanation

The 9 of Clubs appears many times in this deck, which means this deck is faulty and incomplete.

Python Template

cards = []
for _ in range(52):
    cards.append(input())