Problem: 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).

Examples

Input

4
&gt;= 1 Y
&lt; 3 N
&lt;= -3 N
&gt; 55 N


Output

17


Input

2
&gt; 100 Y
&lt; -100 Y


Output

Impossible

Solution (in JAVA):

Solution:
import java.util.*;
import java.io.*;


public class Main
{
    
            
            public static void main(String[] args)
            {
                
                    FastInput input = new FastInput(System.in);
                    PrintWriter output = new PrintWriter(System.out,true);
                
                    int n= input.readInt();
                    long min=-10000000000L , max=10000000000L ,num; 
                    String ques,ans;
                    
                    for(int i=0;i<n;++i)
                    {
                            ques = input.readString();
                            num =input.readLong();
                            ans = input.readString();
                            
                            switch(ques)
                            {
                                    
                                case ">":
                                            
                                            if(ans.equals("Y"))
                                                min = Math.max(min ,num+1);
                                            else
                                                max = Math.min(max,num);
                                            
                                            break;
                                case "<=" :
                                            
                                            if(ans.equals("Y"))
                                                max = Math.min(max,num);
                                            else
                                                min = Math.max(min ,num+1);
                                            
                                            break;  
                                
                                case "<" :
                                            
                                            if(ans.equals("Y"))
                                                max = Math.min(max,num-1);
                                            else
                                                min = Math.max(min ,num);
                                            break;
                                
                                case ">=" :
                                
                                            if(ans.equals("Y"))
                                                min = Math.max(min ,num);
                                            else
                                                max = Math.min(max,num-1);
                                            
                                            break;
                                            
                                
                            }
                            
                                                    
                    }
                    
                    
                    if(min<=max)
                    {
                            if(min>2000000000 || max <-2000000000)
                                    output.println("Impossible");
                            else
                            {
                                if(max<=2000000000)
                                    output.println(max);
                                else
                                    output.println(min);
                                
                            }
                        
                        
                    }
                    else
                        output.println("Impossible");
                            
                    input.close();                  
                    output.close();
        

            }
}


class FastInput
{


        private InputStream stream;
        private byte[] buf = new byte[1024];
        private int curChar;
        private int numChars;


        public FastInput(InputStream userInputStream)
        {
            this.stream = userInputStream;

        }


        public int readChar()
        {

            if (numChars == -1)
                throw new InputMismatchException();

            if (curChar >= numChars)
            {

                curChar = 0;

                try
                {
                    numChars = stream.read(buf);
                } 
                catch (IOException e)
                {
                    throw new InputMismatchException();
                }

                if (numChars <= 0)
                    return -1;

            }

            return buf[curChar++];

        }


        public boolean isSpaceChar(int c) 
        {

                return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;

        }

        
        public int readInt()
        {

            int c = readChar();
            int sgn = 1;
            
            while (isSpaceChar(c))
                c = readChar();
            
            if (c == '-' )
            {
                sgn = -1;
                c = readChar();

            }

            int res = 0;

            do {

                if (c < '0' || c > '9')
                    throw new InputMismatchException();

                res *= 10;
                res += c - '0';
                c = readChar();

            } while (!isSpaceChar(c));

            return res * sgn;

        }

        public long readLong()
        {

            int c = readChar();
            int sgn = 1;
            
            while (isSpaceChar(c))
                c = readChar();
            
            if (c == '-' )
            {
                sgn = -1;
                c = readChar();

            }

            long res = 0;

            do {

                if (c < '0' || c > '9')
                    throw new InputMismatchException();

                res *= 10;
                res += c - '0';
                c = readChar();

            } while (!isSpaceChar(c));

            return res * sgn;

        }
        
        

        public String readString() {

            int c = readChar();

            while (isSpaceChar(c))
                c = readChar();

            StringBuilder res = new StringBuilder();

            do
            {

                res.append((char)c);
                c = readChar();

            } while (!isSpaceChar(c));


            return res.toString();

        }
        
        // The method created intially skips all whitespaces as defined above and then starts reading everything before \r , \n  , or both
        public String readLine()
        {
                int c=  readChar();
                        
                while (isSpaceChar(c))
                    c = readChar();

                StringBuilder res = new StringBuilder();

                do
                {
                    res.append(c);
                    c = readChar();

                }while (c != '\r' &&  c!= '\n');


                return res.toString();
                
        }
        
        
        public void close()
        {
                try
                {
                    stream.close();
                }
                catch(IOException ex)
                {
                    ex.printStackTrace();
                    
                }
        }
        
        

}