using System;
 
public class Test
{
	public static void Main()
	{
		// your code goes here
		for (int A = 1; A <= 5; A++)
		{
			for (int B = 1; B <= 5; B++)
			{
				if (A == B) continue;
				for (int C = 1; C <= 5; C++)
				{
					if (A == C || B == C) continue;
					Console.Write("IN: A={0} B={1} C={2}  OUT: ", A, B, C);
					Solve(A, B, C);
				}
			}
		}
	}
 
	struct Player
	{
		public int Number;
		public bool Answered;
	}
 
	enum Result
	{
		Max,
		Min,
		Mid,
		Unknown
	}
 
	static void Solve(int A, int B, int C)
	{
 
		Player[] players = new Player[3];
 
		players[0].Number = A;
		players[1].Number = B;
		players[2].Number = C;
 
		for (int turn = 0; turn < 10; turn++)
		{
			char id = "ABC"[turn%3];
			Result result = Think(players[(turn+1)%3], players[(turn+2)%3]);
			bool valid = false;
			switch (result)
			{
				case Result.Unknown:
					Console.Write("{0} =>?, ", id);
					break;
				case Result.Max:
					valid = players[turn%3].Number > players[(turn+1)%3].Number && players[turn%3].Number > players[(turn+2)%3].Number;
					goto default;
				case Result.Min:
					valid = players[turn%3].Number < players[(turn+1)%3].Number && players[turn%3].Number < players[(turn+2)%3].Number;
					goto default;
				case Result.Mid:
					valid |= players[turn%3].Number < players[(turn+1)%3].Number && players[turn%3].Number > players[(turn+2)%3].Number;
					valid |= players[turn%3].Number > players[(turn+1)%3].Number && players[turn%3].Number < players[(turn+2)%3].Number;
					goto default;
				default:
					if (!valid) Console.Write("[invalid]");
					Console.WriteLine("{0} =>{1}", id, result.ToString().ToUpper());
					return;
			}
			players[turn%3].Answered = true;
		}
 
 
	}
 
	static Result Think(Player playerX, Player playerY)
	{
		bool[] flag = new bool[6];
 
		Player[] players = {playerX, playerY};
 
		foreach (Player player in players)
		{
			flag[player.Number] = true;
			if (!player.Answered) continue;
			int number = playerX.Number + playerY.Number - player.Number;
			if (number == 4) flag[5] = true;
			if (number == 5) flag[1] = flag[4] = true;
			if (number == 1) flag[2] = flag[5] = true;
			if (number == 2) flag[1] = true;
		}
 
		int all = 0;
		int min = 0;
		int max = 0;
		int mid = 0;
 
		for (int number = 1; number <= 5; number++)
		{
			if (flag[number]) continue;
			all++;
			if (number > playerX.Number && number > playerY.Number) max++;
			if (number < playerX.Number && number < playerY.Number) min++;
			if (number < playerX.Number && number > playerY.Number) mid++;
			if (number > playerX.Number && number < playerY.Number) mid++;
		}
 
		if (max == all) return Result.Max;
		if (min == all) return Result.Min;
		if (mid == all) return Result.Mid;
 
		return Result.Unknown;
	}
}

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