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: Time Limit Exceeded)

using System;

namespace Test
{
    class MainClass
    {
        public static void Main(string[] args)
        {
            var num = int.Parse(Console.ReadLine());
            var cards = new int[num];
            for (int i = 0; i < num; i++)
            {
                var inputs = Console.ReadLine().Split(' ');
                cards[i] = ChangeStringToCard(inputs[0], inputs[1]);
            }
            Array.Sort(cards);
            const int SuitMaxValue = 13;
            int checkedIndex = 1;
            for (int i = 0; i <= num; i++)
            {
                if (GetRank(cards[i]) != ((checkedIndex % (SuitMaxValue))+1))
                {
                    Console.WriteLine("{0} {1}", GetSuit(cards[i]), GetRank(cards[i]));
                    --i;
                }
                ++checkedIndex;
            }
            
        }
        public static int ChangeStringToCard(string suit, string rank)
        {
            switch (suit)
            {
                case "S":
                    return int.Parse(rank);
                case "H":
                    return int.Parse(rank) + 0x10;
                case "B":
                    return int.Parse(rank) + 0x20;
                case "D":
                    return int.Parse(rank) + 0x40;
                default:
                    return 0;
            }
        }
        public static string GetSuit(int num)
        {
            var flag = num & 0xF0;
            switch (flag)
            {
                case 0:
                    return "S";
                case 0x10:
                    return "H";
                case 0x20:
                    return "B";
                case 0x40:
                    return "D";
                default:
                    return null;
            }
        }
        public static int GetRank(int num)
        {
            var flag = num & 0xF0;
            return num - flag;
        }
    }
}