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:
/******************************************************************************

                            Online Java Compiler.
                Code, Compile, Run and Debug java program online.
Write your code in this editor and press "Run" button to execute it.

*******************************************************************************/
import java.util.*;
public class Main
{
	public static void main(String[] args) {
	Scanner sc=new Scanner(System.in);
	
	    int n=sc.nextInt();
	    sc.nextLine();
	    long i1=-2000000000;
	    long i2=2000000000;
	    while(n-->0)
	    {
	        String str=sc.nextLine();
	        String ch[]=str.split(" ");
	        long x=Long.parseLong(ch[1]);
	        if(str.contains("Y"))
	        {
	                    
	            if(str.contains("="))
	            {
	                  
	                if(str.charAt(0)=='>')
	                {
	                    if(x>i1)
	                    {
	                        i1=x;
	                    
	                    }
	                }
	                else
	                {
	                    
	                    if(x<i2)
	                    {
	                        i2=x;
	                    
	                    }
	                }
	            }
	            else
	            {
	            
	              if(str.charAt(0)=='>')
	                {
	            
	                    if((x+1)>i1)
	                    {
	                        i1=x+1;
	                    
	        
	                    }
	                }
	                else
	                {
	            
	                    
	                    if((x-1)<i2)
	                    {
	            
	                        i2=x-1;
	                    }
	                }  
	            }
	        }
	        else
	        {
	            if(!(str.contains("=")))
	            {
	                if(str.charAt(0)=='<')
	                {
	                    if(x>i1)
	                    {
	                        i1=x;
	                    }
	                }
	                else
	                {
	                    
	                    if(x<i2)
	                    {
	                        i2=x;
	                    }
	                }  
	            }
	            else
	            {
	                if(str.charAt(0)=='<')
	                {
	                    if((x+1)>i1)
	                    {
	                        i1=x+1;
	                    }
	                }
	                else
	                {
	                    
	                    if((x-1)<i2)
	                    {
	                        i2=x-1;
	                    }
	                }
	            }
	            
	        }
	        
	    }
	    if(i1>i2)
	    System.out.println("Impossible");
	    else
	    System.out.println(i1);
	
		sc.close();
	
	}
}