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 PYTHON3):

Solution:
'''input
4
<= 9 Y
< 3 Y
< 2 Y
< 2 Y
'''


def main():

    li = -10e9
    ul = 10e9

    n = int(input())
    for _ in range(n):
        sym, guess, ans = input().split()

        if sym == '>=':
            if ans == 'Y' and int(guess) > li:
                li = int(guess)
            elif ans == 'N' and int(guess) < ul:
                ul = int(guess)-1

            # print(li, ul)

        elif sym == '>':
            if ans == 'Y' and int(guess) >= li:
                li = int(guess) + 1
            elif ans == 'N' and int(guess) < ul:
                ul = int(guess)

            # print(li, ul)

        elif sym == '<=':
            
            if ans == 'Y' and int(guess) < ul:
                ul = int(guess)
            elif ans == 'N' and int(guess) > li:
                li = int(guess) + 1


            # print(li, ul)

        elif sym == '<':
            
            if ans == 'Y' and int(guess) <= ul:
                ul = int(guess) - 1
            elif ans == 'N' and int(guess) > li:
                li = int(guess)

            # print(li, ul)


    # print(li, ul, "final")
    if(li <= ul):
            
        if( abs(li - 0) < abs(ul - 0) ):
            print(int(li))
        else:
            print(int(ul))


    else:
        print("Impossible")


    

if __name__ == "__main__":
    main()