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())
simbolo = []
num = []
yn = []

for j in range(n):
    s,x,y = input().split()
    simbolo.append(s)
    num.append(int(x))
    yn.append(y)

maximo = float('inf')
minimo = -float('inf')

for i in range(n):
    ismax = False
    if yn[i] == 'N':
        if simbolo[i] == '<':
            simbolo[i] = '>='
        elif simbolo[i] == '>':
            simbolo[i] = '<='
        elif simbolo[i] == '<=':
            simbolo[i] = '>'
        elif simbolo[i] == '>=':
            simbolo[i] = '<'
    if simbolo[i] == '<' or simbolo[i] == '<=': # se x < y => y é max
        ismax = True
    if len(simbolo[i]) == 1:
        if ismax:
            num[i] -= 1
        else:    
            num[i] += 1
    if ismax == True:
        if num[i]< maximo:
            maximo = num[i]
    else:
        if num[i]>minimo:
            minimo = num[i] 
                   
if minimo == -float('inf'):
    minimo = maximo
if maximo >= minimo:
    print (minimo)
else:
    print("Impossible")