problem

There is a mysterious device $ M $, and if you put Tanuki and Fox in this device, one animal will come out from the device (hereinafter, Tanuki will be $ T $ and Fox will be $ F $).

$ M (x, y) $ represents an animal that came out by putting animals in the device $ M $ in the order of $ x, y $.

As a result of various trials, the following was found.


$ M (T, T) = T $
$ M (T, F) = F $
$ M (F, T) = T $
$ M (F, F) = T $



You put the animals in a row $ P_1, P_2, ..., P_N $ into the device as follows.
$ M (.... M (M (P_1, P_2), P_3) ...., P_N) $

Answer the last animal that appears.



output

Output the last animal character $ T $ or $ F $, and also a newline at the end.

Example

Input

3
F T T


Output

T
#include <iostream>
#include <string>
#include <vector>
using namespace std;

bool calc(bool a, bool b) {
    if (a && !b) return false;
    else return true;
}

int main() {
    int N; cin >> N;
    vector<bool> a(N);
    for (int i = 0; i < N; ++i) {
        string s; cin >> s;
        if (s == "T") a[i] = true;
        else a[i] = false;
    }
    bool res = calc(a[0], a[1]);
    for (int i = 2; i < N; ++i) {
        res = calc(res, a[i]);
    }
    if (res) cout << "T" << endl;
    else cout << "F" << endl;
}

