Codeforces Round 241 (Div. 2)
A
Guess a number!
Codeforces
1400
原题
←B →
翻译中…

A TV show called "Guess a number!" is gathering popularity. The whole Berland, the old and the young, are watching the show.

翻译中…

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:

翻译中…
  • 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 $*x*$?
翻译中…

On each question the host answers truthfully, "yes" or "no".

翻译中…

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".

翻译中…

Input

翻译中…

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:

翻译中…
  • ">" (for the first type queries),
  • "<" (for the second type queries),
  • ">=" (for the third type queries),
  • "<=" (for the fourth type queries).
翻译中…

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").

翻译中…

Consequtive elements in lines are separated by a single space.

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Output

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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).

翻译中…

样例

Input #1
4
>= 1 Y
< 3 N
<= -3 N
> 55 N
Output #1
17
InputCopy OutputCopy
Input #2
2
> 100 Y
< -100 Y
Output #2
Impossible
InputCopy OutputCopy
题目信息
题号
416A
时间限制
1 s
内存限制
256 MB
标签
贪心
模拟
双指针

题面与样例版权归 Codeforces 及出题人所有;中文翻译由 AI 生成(CI 管线),如有出入请以原文为准。