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:
# Problem Link: https://codeforces.com/problemset/problem/416/A
# Author: Raunak Sett
import sys
reader = (s.rstrip() for s in sys.stdin)
input = reader.__next__

# do magic here

queries = int(input())

MAX_L = -2000000000
MAX_R = 2000000000

start = MAX_L
end = MAX_R

for i in range(queries):
    query = input()
    operator, n, res = query.split()
    number = int(n)
    result = False
    if res == "Y":
        result = True

    # Do stuff for positive results
    if result:
        if operator == ">":
            start = max(start, number+1)
        elif operator == ">=":
            start = max(start, number)
        elif operator == "<":
            end = min(end, number - 1)
        else:
            end = min(end, number)
    else:
        if operator == ">":
            end = min(end, number)
        elif operator == ">=":
            end = min(end, number - 1)
        elif operator == "<":
            start = max(start, number)
        else:
            start = max(start, number + 1)

possible = True
if start > end or end < MAX_L or start > MAX_R:
    possible = False

start = max(MAX_L, start)
end = min(MAX_R, end)

if not possible:
    print("Impossible")
else:
    print(start)