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:
# python 3
"""
"""
from random import randint


def guess_a_number(queries_str) -> str:
    lower_bound = -2 * pow(10, 9)
    upper_bound = 2 * pow(10, 9)

    for each in queries_str:
        query = each.split()
        relationship = query[0]
        bound = int(query[1])
        answer = query[2]
        # print(relationship, bound, answer)
        # print(lower_bound, upper_bound)
        if relationship == ">=" and answer == "Y":
            if bound > lower_bound:
                lower_bound = bound
        elif relationship == ">=" and answer == "N":
            if bound -1 < upper_bound:
                upper_bound = bound - 1
        elif relationship == ">" and answer == "Y":
            if bound + 1 > lower_bound:
                lower_bound = bound + 1
        elif relationship == ">" and answer == "N":
            if bound < upper_bound:
                upper_bound = bound
        elif relationship == "<=" and answer == "Y":
            if bound < upper_bound:
                upper_bound = bound
        elif relationship == "<=" and answer == "N":
            if bound + 1 > lower_bound:
                lower_bound = bound + 1
        elif relationship == "<" and answer == "Y":
            if bound - 1 < upper_bound:
                upper_bound = bound - 1
        elif relationship == "<" and answer == "N":
            if bound > lower_bound:
                lower_bound = bound
        else:
            assert False, "The query does NOT make sense!"
    # print(lower_bound, upper_bound)

    if upper_bound < lower_bound:
        return "Impossible"
    else:
        return str(randint(lower_bound, upper_bound))


if __name__ == "__main__":
    """
    Inside of this is the test. 
    Outside is the API
    """
    n = int(input())
    queries = [input() for i in range(n)]
    # print(queries)

    print(guess_a_number(queries))