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;
bool vis[1091][1001];
int main() {
  long long int n, i, j, k, l, h, mx = 2e9 + 1, mn = -2e9 - 1;
  cin >> n;
  bool ok = 1;
  while (n--) {
    string s;
    long long int num;
    char ch;
    cin >> s >> num >> ch;
    if (s == ">" && ch == 'Y') mn = max(mn, num);
    if (s == ">" && ch == 'N') mx = min(mx, num + 1);
    if (s == "<" && ch == 'Y') mx = min(mx, num);
    if (s == "<" && ch == 'N') mn = max(mn, num - 1);
    if (s == ">=" && ch == 'Y') mn = max(mn, num - 1);
    if (s == ">=" && ch == 'N') mx = min(mx, num);
    if (s == "<=" && ch == 'Y') mx = min(mx, num + 1);
    if (s == "<=" && ch == 'N') mn = max(mn, num);
    if (mx - mn < 2) ok = 0;
  }
  if (ok)
    cout << mn + 1;
  else
    cout << "Impossible";
}