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:
import random
# ==============FIRST FUNCTION ===============
def new_up_bound(sign, up_bound, answer, number_input):
    if sign == ">=":
        if answer == "Y":
            final = up_bound
        else:
            if number_input - 1 < up_bound:
                final = number_input - 1
            else:
                final = up_bound

    elif sign == ">":
        if answer == "Y":
            final = up_bound
        else:
            if number_input  < up_bound:
                final = number_input
            else:
                final = up_bound

    elif sign == "<=":
        if answer == "Y":
            if number_input  < up_bound:
                final = number_input
            else:
                final = up_bound
        else:
            final = up_bound
    else:
        if answer == "Y":
            if number_input - 1 < up_bound:
                final = number_input - 1
            else:
                final = up_bound
        else:
            final = up_bound
    return final


# ========== SECOND FUNCTION==========
def new_low_bound(sign, low_bound, answer, number_input):
    if sign == ">=":
        if answer == "Y":
            if number_input  > low_bound:
                final = number_input
            else:
                final = low_bound
        else:
            final = low_bound
    elif sign == ">":
        if answer == "Y":
            if number_input + 1 > low_bound:
                final = number_input + 1
            else:
                final = low_bound
        else:
            final = low_bound
    elif sign == "<=":
        if answer == "Y":
            final = low_bound
        else:
            if number_input + 1 > low_bound:
                final = number_input + 1
            else:
                final = low_bound
    else:
        if answer == "Y":
            final = low_bound
        else:
            if number_input > low_bound:
                final = number_input
            else:
                final = low_bound

    return final


# ===================EXECUTION====
questions = int(input())
up_bound = 2e9
low_bound = -2e9
for i in range(questions):
    responses = input().split(" ")
    sign = responses[0]
    number_input = int(responses[1])
    answer = responses[2]
    low_bound = new_low_bound(sign, low_bound, answer, number_input)
    up_bound = new_up_bound(sign, up_bound, answer, number_input)
    if low_bound <= up_bound :
        continue
    else:
        print("Impossible")
        exit()
print(random.randint(low_bound,up_bound))