CodeForces

Guess a number!

Time Limit: 1000MS

Memory Limit: 262144KB

64bit IO Format: %I64d & %I64u

Submit Status

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

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.

Output

Print any of such integers y, that the answers to all the queries are correct. The printed number y must meet the inequation  - 2·10⁹ ≤ y ≤ 2·10⁹. If there are many answers, print any of them. If such value doesn't exist, print word "Impossible" (without the quotes).

Sample Input

Input

4
>= 1 Y
< 3 N
<= -3 N
> 55 N

Output

17

Input

2
> 100 Y
< -100 Y

Output

Impossible

Source

Codeforces Round #241 (Div. 2)

#include <iostream>  
#include <stdio.h>  
#include <stdlib.h>  
#include<string.h>  
#include<algorithm>  
#include<math.h>  
using namespace std;  
int f[100005];  
  
int main()  
{  
    int n,min0=-1000001000,max0=1000010000;  
    cin>>n;  
    for(int i=0;i<n;i++)  
    {  
        char x[3],an;int num;  
        cin>>x>>num>>an;  
        if(an=='Y'&&x[0]=='>')  
        {  
            if(x[1]=='=')  
            min0=max(min0,num);  
            else min0=max(min0,num+1);  
        }  
        else if(an=='N'&&x[0]=='>')  
        {  
            if(x[1]=='=')  
                max0=min(max0,num-1);  
            else max0=min(max0,num);  
        }  
        else if(an=='Y'&&x[0]=='<')  
        {  
            if(x[1]=='=')  
            max0=min(max0,num);  
            else max0=min(max0,num-1);  
        }  
        else if(an=='N'&&x[0]=='<')  
        {  
            if(x[1]=='=')  
                min0=max(min0,num+1);  
            else min0=max(min0,num);  
        }  
       // cout<<max0<<' '<<min0<<endl;  
    }  
    if(max0>=min0)  
        cout<<min0<<endl;  
    else cout<<"Impossible"<<endl;  
    return 0;  
}