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:

list1 = ['1','2','3','4','5','6','7','8','9','0','-']
list2 = ['>','<','=','N','Y']
n = int(input())

ans = []
low = 10000000000
max = -1001317593
str1 = ''
str2 = ''
for i in range(n):

    k = input()
    str1 = ''
    str2 = ''

    for j in k:


        if j in list2:
            str1+=j
        if j in list1:
            str2+=j
    z = int(str2)

    if str1[0] == '>' and str1[len(str1)-1] == 'Y':
        if str1[1] == '=':

          if z > max:
            max = z
        else:
            if z >=max:
             max = z + 1



    if str1[0] == '>' and str1[len(str1)-1] == 'N':

      if str1[1] == '=':
        if z <=low:
            low = z - 1


      else:
        if z < low:
            low = z


    if str1[0] == '<' and str1[len(str1)-1] == 'Y':

       if str1[1] == '=':
        if z < low:
            low = z
        if z == low:
            low = z
       else:
           if z <=low:
               low = z - 1





    if str1[0] == '<' and str1[len(str1)-1] == 'N':

       if str1[1] == '=':
        if z >=max:
            max = z + 1
       else:
           if z > max:
               max = z



temp = 0
# print(max,low)
for i in range(max,low+1):
    print(i)
    temp = 1
    break

if temp == 0:
    print('Impossible')