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 CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
int main() {
  int n;
  cin >> n;
  string queries[n];
  int numbers[n];
  char answers[n];
  int interval_end = 1998638045;
  int interval_start = -1998638045;
  string query1 = ">=";
  string query2 = "<";
  string query3 = "<=";
  string query4 = ">";
  for (int i = 0; i < n; i++) {
    cin >> queries[i];
    cin >> numbers[i];
    cin >> answers[i];
  }
  for (int i = 0; i < n; i++) {
    if (queries[i] == query1) {
      int num = numbers[i];
      char ans = answers[i];
      if (ans == 'Y') {
        if (interval_start < num) {
          interval_start = num;
        }
      } else {
        if (interval_end >= num) {
          interval_end = num - 1;
        }
      }
    }
    if (queries[i] == query2) {
      int num = numbers[i];
      char ans = answers[i];
      if (ans == 'Y') {
        if (interval_end >= num) {
          interval_end = num - 1;
        }
      } else {
        if (interval_start < num) {
          interval_start = num;
        }
      }
    }
    if (queries[i] == query3) {
      int num = numbers[i];
      char ans = answers[i];
      if (ans == 'Y') {
        if (interval_end >= num + 1) {
          interval_end = num;
        }
      } else {
        if (interval_start < num + 1) {
          interval_start = num + 1;
        }
      }
    }
    if (queries[i] == query4) {
      int num = numbers[i];
      char ans = answers[i];
      if (ans == 'Y') {
        if (interval_start < num + 1) {
          interval_start = num + 1;
        }
      } else {
        if (interval_end >= num + 1) {
          interval_end = num;
        }
      }
    }
  }
  if (interval_start == interval_end) {
    cout << interval_start;
  } else if (interval_start > interval_end) {
    cout << "Impossible";
  } else {
    cout << interval_start + 1;
  }
}