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.util.Scanner;
import java.util.Random;

public class R241A {

	private static int showRandomInteger(int aStart, int aEnd, Random aRandom) {

    	long range = (long)aEnd - (long)aStart + 1;
    	long fraction = (long)(range * aRandom.nextDouble());
    	int randomNumber =  (int)(fraction + aStart); 
    	return randomNumber;   
  }

	public static void main(String[] args) {

		int l = -1000000001, r = 1000000001;
		Scanner in = new Scanner(System.in);
		int n = in.nextInt();
		n++;
		String p[] = new String[3];
		String s = new String();
		int t = 0;
		for (int i = 0; i < n; i++) {
			s = in.nextLine();
			p = s.split(" ");
			for (int j = 0; j < 2; j++) {
			if (p[0].equals(">="))
				if (p[2].equals("Y")) {
					t = Integer.parseInt(p[1]);
					if (t > l)
						l = t;
				}
				else {
					p[0] = "<";
					p[2] = "Y";
				}
			if (p[0].equals(">"))
				if (p[2].equals("Y")){
					t = Integer.parseInt(p[1])+1;
					if (t > l)
						l = t;
				}
				else { 
					p[0] = "<=";
					p[2] = "Y";
				}
			if (p[0].equals("<="))
				if (p[2].equals("Y")){
					t = Integer.parseInt(p[1]);
					if (t < r)
						r = t;
				}
				else{
					p[0] = ">";
					p[2] = "Y";
				}
			if (p[0].equals("<"))
				if (p[2].equals("Y")){
					t = Integer.parseInt(p[1])-1;
					if (t < r)
						r = t;
				}
				else{ 
					p[0] = ">=";
					p[2] = "Y";
				}
			}
		}
		Random ran = new Random();
		if (r >= l)
			System.out.println(showRandomInteger(l, r, ran));
		else 
			System.out.println("Impossible");

		}
	}