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 PYTHON):

Solution:
import random
amount_of_attemts = int(raw_input())
attempts = []
expression = []

border_left = [-2000000000]
border_right = [2000000000]
for i in xrange(amount_of_attemts):
    attempts.append(raw_input().split())
for i in range(len(attempts)):
    if (attempts[i][2] == 'Y' and attempts[i][0] == '>') or (attempts[i][2] == 'N' and attempts[i][0] == '<='):
        border_left.append(int(attempts[i][1]) + 1)
    if (attempts[i][2] == 'Y' and attempts[i][0] == '<') or (attempts[i][2] == 'N' and attempts[i][0] == '>='):
        border_right.append(int(attempts[i][1]) - 1)
    if (attempts[i][2] == 'Y' and attempts[i][0] == '>=') or (attempts[i][2] == 'N' and attempts[i][0] == '<'):
        border_left.append(int(attempts[i][1]))
    if (attempts[i][2] == 'Y' and attempts[i][0] == '<=') or (attempts[i][2] == 'N' and attempts[i][0] == '>'):
        border_right.append(int(attempts[i][1]))
    if attempts[i][2] == 'Y' and attempts[i][0] == '<' and attempts[i][1] == -1000000000:
        print 'Impossible'
        break
    if attempts[i][2] == 'N' and attempts[i][0] == '>' and attempts[i][1] == 1000000000:
        print 'Impossible'
        break
if max(border_left) > min(border_right):
    print 'Impossible'
else:
    print random.randint(max(border_left), min(border_right))