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A. Guess a number!

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputA 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 - 10^{9} ≤ *x* ≤ 10^{9}. 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 - 2·10^{9} ≤ *y* ≤ 2·10^{9}. If there are many answers, print any of them. If such value doesn't exist, print word "Impossible" (without the quotes).

Examples

Input

4

>= 1 Y

< 3 N

<= -3 N

> 55 N

Output

17

Input

2

> 100 Y

< -100 Y

Output

Impossible

Codeforces (c) Copyright 2010-2021 Mike Mirzayanov

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