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:
n = int(input())

lower_range, upper_range = -1000000001, 1000000001

for i in range(n):
  #print(upper_range, lower_range)
  operation, num, correct = input().split(" ")
  num = int(num)
  
  if operation[0] == '>':
    if correct == 'Y':
      if num >= lower_range:
        if len(operation) > 1:
          lower_range = num
        else:
          lower_range = num+1
    else:
      if num < upper_range:
        if len(operation) > 1:
          upper_range = num-1
        else:
          upper_range = num
  if operation[0] == '<':
    if correct == 'Y':
      if num <= upper_range:
        if len(operation) > 1:
          upper_range = num
        else:
          upper_range = num-1
    else:
      if num > lower_range:
        if len(operation) > 1:
          lower_range = num+1
        else:
          lower_range = num

if lower_range > upper_range:
  print("Impossible")
else:  
  print(lower_range)