Tanuki and Fox

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

inputFormat

outputFormat

output

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

Example

Input

3 F T T

Output

T

样例

3
F T T

T