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:
line = int(input())

questions = []
answer = None
a_range = ['inf', 'inf']

def shorten_sec(num):
	if a_range[1] == 'inf':
		return num
	elif a_range[1] > num:
		return num
	return a_range[1]
def shorten_first(num):
	if a_range[0] == 'inf':
		return num
	elif a_range[0] < num:
		return num
	return a_range[0]

for i in range(line):
	newLine = input()
	newLine = newLine.split()
	newLine[1] = int(newLine[1])
	questions.append(newLine)

for i in questions:
	if i[0] == '>=' and i[2] == 'Y':
		a_range[0] = shorten_first(i[1])
	elif i[0] == '>=' and i[2] == 'N':
		a_range[1] = shorten_sec(i[1] - 1)
	elif i[0] == '<=' and i[2] == 'Y':
		a_range[1] = shorten_sec(i[1])
	elif i[0] == '<=' and i[2] == 'N':
		a_range[0] = shorten_first(i[1] + 1)
	elif i[0] == '<' and i[2] == 'Y':
		a_range[1] = shorten_sec(i[1] - 1)
	elif i[0] == '<' and i[2] == 'N':
		a_range[0] = shorten_first(i[1])
	elif i[0] == '>' and i[2] == 'Y':
		a_range[0] = shorten_first(i[1] + 1)
	elif i[0] == '>' and i[2] == 'N':
		a_range[1] = shorten_sec(i[1])


if a_range[0] == 'inf' and a_range[1] == 'inf':
	print('Impossible')
elif 'inf' == a_range[1] and a_range[0] < -2000000000:
	print('Impossible')
elif 'inf' == a_range[0] and a_range[1] > 2000000000:
	print('Impossible')
elif 'inf' not in a_range and a_range[0] > a_range[1]:
	print('Impossible')
elif a_range[1] == 'inf':
	print(a_range[0])
else:
	print(a_range[1])