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 $- 10^{9} ≤ *x* ≤ 10^{9}$. 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).
样例
4
>= 1 Y
< 3 N
<= -3 N
> 55 N
17
2
> 100 Y
< -100 Y
Impossible
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