CF416A Guess a number!

Description

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 Format

The first line of the input contains a single integer $ n $ ( $ 1

Output Format

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}