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;
long long minn = (-2 * int(1e9)), maxx = (2 * int(1e9)), a, n;
string s;
vector<long long> greater_, smaller;
char c;
int main() {
  ios::sync_with_stdio(0);
  ios_base::sync_with_stdio(0);
  cin.tie(0), cout.tie(0);
  cin >> n;
  for (int i = 0; i < n; i++) {
    cin >> s >> a >> c;
    if (c == 'N') {
      if (s[0] == '>') {
        s[0] = '<';
      } else {
        s[0] = '>';
      }
      if (s.size() < 2) {
        s += '=';
      } else {
        s.erase(s.end() - 1);
      }
    }
    if (s[0] == '>') {
      greater_.push_back(a - (s[1] == '='));
    } else {
      smaller.push_back(a + (s[1] == '='));
    }
  }
  greater_.push_back(minn), smaller.push_back(maxx);
  sort(greater_.begin(), greater_.end());
  sort(smaller.begin(), smaller.end());
  minn = max(greater_.back() + 1, minn);
  maxx = min(smaller.front() - 1, maxx);
  while (minn <= maxx) {
    return cout << minn << endl, 0;
    minn++;
  }
  cout << "Impossible\n";
  return 0;
}