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 sys
l = sys.stdin.readlines()
t = []
for s in l[1:]:
    t.append(s.split())

left = -1 * (2 * 10**9)
right = 2 * 10**9
for c in t:
    if c[2] == 'N':
        if(c[0] == '>'):
            c[0] = '<='
        elif(c[0] == '<'):
            c[0] = '>='
        elif(c[0] == '>='):
            c[0] = '<'
        elif(c[0] == '<='):
            c[0] = '>'

    if(c[0] == '>'):
        if(int(c[1]) >= left):
            left = int(c[1])+1
    elif(c[0] == '<'):
        if(int(c[1]) <= right):
            right = int(c[1])-1
    elif(c[0] == '>='):
        if(int(c[1]) > left):
            left = int(c[1])
    elif(c[0] == '<='):
        if(int(c[1]) < right):
            right = int(c[1])

    if(left > right):
        print('Impossible')
        sys.exit(0)

print(left)