Problem: A TV show called "Guess a number!" is gathering popularity. The whole Berland, the old and the young, are watching the show.

The rules are simple. The host thinks of an integer y and the participants guess it by asking questions to the host. There are four types of acceptable questions:

  * Is it true that y is strictly larger than number x? 
  * Is it true that y is strictly smaller than number x? 
  * Is it true that y is larger than or equal to number x? 
  * Is it true that y is smaller than or equal to number x? 



On each question the host answers truthfully, "yes" or "no".

Given the sequence of questions and answers, find any integer value of y that meets the criteria of all answers. If there isn't such value, print "Impossible".

Input

The first line of the input contains a single integer n (1 ≤ n ≤ 10000) — the number of questions (and answers). Next n lines each contain one question and one answer to it. The format of each line is like that: "sign x answer", where the sign is:

  * ">" (for the first type queries), 
  * "<" (for the second type queries), 
  * ">=" (for the third type queries), 
  * "<=" (for the fourth type queries). 



All values of x are integer and meet the inequation  - 109 ≤ x ≤ 109. The answer is an English letter "Y" (for "yes") or "N" (for "no").

Consequtive elements in lines are separated by a single space.

Output

Print any of such integers y, that the answers to all the queries are correct. The printed number y must meet the inequation  - 2·109 ≤ y ≤ 2·109. If there are many answers, print any of them. If such value doesn't exist, print word "Impossible" (without the quotes).

Examples

Input

4
&gt;= 1 Y
&lt; 3 N
&lt;= -3 N
&gt; 55 N


Output

17


Input

2
&gt; 100 Y
&lt; -100 Y


Output

Impossible

Solution (in JAVA):

Solution:
import java.io.*;
public class Main 
{
	static int START = -1000000010 , END = 1000000010 ;
	public static void main(String[] args) throws IOException
	{
		BufferedReader input= new BufferedReader(new InputStreamReader(System.in));
		int lines = Integer.parseInt(input.readLine()) ;
		while( lines -- != 0 )
		{
			String INPUT = input.readLine() ;
			String Condition = INPUT.split(" ")[0] ;
			int Number = Integer.parseInt(INPUT.split(" ")[1]) ;
			String Validity = INPUT.split(" ")[2] ;
			
			if ( Validity.equals("N"))
				if ( Condition.equals(">") )
					Condition = "<=" ;
				else if ( Condition.equals("<") )
					Condition = ">=" ;
				else if ( Condition.equals(">=") )
					Condition = "<" ;
				else if ( Condition.equals("<=") )
					Condition = ">" ;
			
			if ( Condition.equals(">") )
				START = Math.max(START,Number+1) ;
			else if ( Condition.equals("<") )
				END = Math.min(END,Number-1) ;
			else if ( Condition.equals(">=") )
				START = Math.max(START,Number) ;
			else if ( Condition.equals("<=") )
				END = Math.min(END,Number) ;
		}
		if ( START > END )
			System.out.println("Impossible");
		else
			System.out.println(START) ;
	}
}