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.BufferedReader;
import java.io.InputStreamReader;


public class CF_241_2_A {
    public static void main(String[] args) throws Exception {
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        int tc = Integer.parseInt(br.readLine());
        
        int min = -2000000000;
        int max = 2000000000;
        
        while (tc-- > 0) {
            String[] line = br.readLine().split("\\s+");
            int x = Integer.parseInt(line[1]);
            switch(line[0]) {
            case ">":
                if (line[2].equals("Y"))
                    min = Math.max(min, x + 1);
                else
                    max = Math.min(max, x);
                break;
            case "<":
                if (line[2].equals("Y"))
                    max = Math.min(max, x - 1);
                else
                    min = Math.max(min, x);
                break;
            case ">=":
                if (line[2].equals("Y"))
                    min = Math.max(min, x);
                else
                    max = Math.min(max, x - 1);
                break;
            case "<=":
                if (line[2].equals("Y"))
                    max = Math.min(max, x);
                else
                    min = Math.max(min, x + 1);
                break;
            }
        }
        
        System.out.println(min > max ? "Impossible" : min);
    }
}