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".
输入描述:
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.


输出描述:
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).
示例1

输入

4<br />&gt;= 1 Y<br />&lt; 3 N<br />&lt;= -3 N<br />&gt; 55 N<br />2<br />&gt; 100 Y<br />&lt; -100 Y<br />

输出

17<br />Impossible<br />
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