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.Linq;
using System.Collections.Generic;

namespace Algorithm
{
    class Program
    {
        const int MaxNumber = 13;
        const int CardTypeCount = 4;

        static void Main(string[] args)
        {
            var n = int.Parse(Console.ReadLine());

            var notFountList = new List<InputModel>();

            var set = new List<InputModel>();
            for (var i = 0; i < n; i++)
            {
                var array = Console.ReadLine().Split();
                var model = new InputModel() { Type = array[0], Number = int.Parse(array[1]) };
                set.Add(model);
            }

            var typeList = new List<string>() { "S", "H", "C", "D" };

            // Typeが丸ごと存在しない場合はパッと思いつかないから冗長だけど別で先に出す
            foreach (var l in typeList)
            {
                if (!set.Select(s => s.Type).Contains(l))
                {
                    foreach (var val in Enumerable.Range(1, 13))
                    {
                        var tmp = new InputModel();
                        tmp.Type = l;
                        tmp.Number = val;
                        tmp.Priority = GetPriority(l);
                        notFountList.Add(tmp);
                    }
                }
            }

            // 本体
            foreach (var type in set.GroupBy(g => g.Type))
            {
                foreach (var val in Enumerable.Range(1, 13))
                {
                    if (!type.Any(a => a.Number == val))
                    {
                        var tmp = new InputModel();
                        tmp.Type = type.Key;
                        tmp.Number = val;
                        tmp.Priority = GetPriority(type.Key);
                        notFountList.Add(tmp);
                    }
                }
                foreach (var m in type)
                {

                    if (!Enumerable.Range(1, 13).Contains(m.Number))
                    {
                        notFountList.Add(m);
                    }

                }
            }

            foreach (var item in notFountList.OrderBy(o => o.Priority).ThenBy(t => t.Number))
            {
                Console.WriteLine($"{item.Type} {item.Number}");
            }


        }
        static int GetPriority(string s)
        {
            switch (s)
            {
                case "S":
                    return 1;
                case "H":
                    return 2;
                case "C":
                    return 3;
                case "D":
                    return 4;
                default:
                    return 0;
            }
        }
    }

    class InputModel
    {
        public string Type { get; set; }
        public int Priority { get; set; }
        public int Number { get; set; }
    }
}