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:
def inv(s):
    if s == '<':
        return '>='
    if s == '<=':
        return '>'
    if s == '>':
        return '<='
    if s == '>=':
        return '<'
n = int(raw_input())
i1 = int(-2e+9)
i2 = int(2e+9)
for i in xrange(0,n):
    l = [s for s  in raw_input().split()]
    r = l[0]
    k = int(l[1])
    ans = l[2]
##    print l[0]
##    print l[1]
##    print l[2]
    if ans == 'N':
        l[0] = inv(l[0])
    if l[0] == '>' and i1 < k+1:    
        i1 = k+1
##        print i1
    if l[0] == '>=' and i1 < k:
        i1 = k
##        print i1
    if l[0] == '<' and i2 > k-1:
        i2 = k-1
##        print i2
    if l[0] == '<=' and i2 > k:
        i2 = k
##        print i2
if i1 <= i2:
    print i1
else:
    print 'Impossible'