Problem:
Finding Missing Cards

Taro is going to play a card game. However, now he has only n cards, even though there should be 52 cards (he has no Jokers).

The 52 cards include 13 ranks of each of the four suits: spade, heart, club and diamond.

Input

In the first line, the number of cards n (n ≤ 52) is given.

In the following n lines, data of the n cards are given. Each card is given by a pair of a character and an integer which represent its suit and rank respectively. A suit is represented by 'S', 'H', 'C' and 'D' for spades, hearts, clubs and diamonds respectively. A rank is represented by an integer from 1 to 13.

Output

Print the missing cards. The same as the input format, each card should be printed with a character and an integer separated by a space character in a line.
Arrange the missing cards in the following priorities:

Print cards of spades, hearts, clubs and diamonds in this order.

If the suits are equal, print cards with lower ranks first.

Sample Input

47
S 10
S 11
S 12
S 13
H 1
H 2
S 6
S 7
S 8
S 9
H 6
H 8
H 9
H 10
H 11
H 4
H 5
S 2
S 3
S 4
S 5
H 12
H 13
C 1
C 2
D 1
D 2
D 3
D 4
D 5
D 6
D 7
C 3
C 4
C 5
C 6
C 7
C 8
C 9
C 10
C 11
C 13
D 9
D 10
D 11
D 12
D 13

Sample Output

S 1
H 3
H 7
C 12
D 8

Note

      解説

Solution in C# (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;

namespace Finding_Missing_Cards
{
    class Program
    {
        static void Main(string[] args)
        {
            int count = int.Parse(Console.ReadLine());
            FindingMissingCard problem = new FindingMissingCard();
            for (int i = 0; i < count; i++)
            {
                string line = Console.ReadLine();
                string[] strs = line.Split(' ');

                problem.SetFindingCard(strs[0], int.Parse(strs[1]));
            }

            List<string> answers = problem.ShowMissingCards();
            foreach (string answer in answers)
            {
                Console.WriteLine(answer);
            }
        }
    }

    /// <summary>
    /// 無くなったカードを発見するクラス
    /// </summary>
    public class FindingMissingCard
    {
        /// <summary>
        /// スートの最大数
        /// </summary>
        public const int MAX_SUIT = 4;

        /// <summary>
        /// 数字の最大数
        /// </summary>
        public const int MAX_NUMBER = 13;

        /// <summary>
        /// 発見されたかどうか
        /// </summary>
        private List<List<bool>> isFinded;

        /// <summary>
        /// コンストラクタ
        /// </summary>
        public FindingMissingCard()
        {
            // 初期化時に全てのカードが発見されていないとする
            isFinded = new List<List<bool>>();
            for (int i = 0; i < MAX_SUIT; i++)
            {
                isFinded.Add(new List<bool>());
                for (int j = 0; j < MAX_NUMBER; j++)
                {
                    isFinded[i].Add(false);
                }
            }
        }

        /// <summary>
        /// スートと番号を指定して、カードが発見されたことにする.
        /// </summary>
        /// <param name="suit">スート</param>
        /// <param name="number">番号</param>
        public void SetFindingCard(string suit, int number)
        {
            isFinded[GetNumberToSuit(suit)][number - 1] = true;
        }

        /// <summary>
        /// なくなったカードを表示する
        /// </summary>
        /// <returns>無くなったカードのリスト</returns>
        public List<string> ShowMissingCards()
        {
            List<string> missingCards = new List<string>();
            for (int i = 0; i < 4; i++)
            {
                for (int j = 0; j < 13; j++)
                {
                    if (isFinded[i][j] == false)
                    {
                        string card = GetSuitToNumber(i) + " " + (j + 1);
                        missingCards.Add(card);
                    }
                }
            }
            return missingCards;
        }

        /// <summary>
        /// 配列の番号から対応するスートを取得する
        /// </summary>
        /// <param name="number">配列の番号</param>
        /// <returns>スート</returns>
        private string GetSuitToNumber(int number)
        {
            if (number.Equals(0)) return "S";
            if (number.Equals(1)) return "H";
            if (number.Equals(2)) return "C";
            if (number.Equals(3)) return "D";
            throw new ArgumentException("「" + number + "」に対応するスートは存在しません。");
        }

        /// <summary>
        /// スートから対応する配列の番号を取得する
        /// </summary>
        /// <param name="suit">スート</param>
        /// <returns>配列の番号</returns>
        private int GetNumberToSuit(string suit)
        {
            if (suit.Equals("S")) return 0;
            if (suit.Equals("H")) return 1;
            if (suit.Equals("C")) return 2;
            if (suit.Equals("D")) return 3;
            throw new ArgumentException("「" + suit + "」というスートは存在しません。");
        }
    }
}