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}