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Contest: Task: Related: TaskB

Score : $100$ points

Problem Statement

Three people live in Takahashi's house: Takahashi, his father, and his mother. All of them wash their hair in the bathroom each night.
His father, his mother, and Takahashi take a bath in this order and use $A$, $B$, and $C$ milliliters of shampoo, respectively.

This morning, the bottle contained $V$ milliliters of shampoo. Without refilling, who will be the first to run short of shampoo to wash their hair?

Constraints

$1 \leq V,A,B,C \leq 10^5$
All values in input are integers.

Input

Input is given from Standard Input in the following format:

$V$ $A$ $B$ $C$

Output

If the first person to run short of shampoo to wash their hair is Takahashi's father, print F; if it is Takahashi's mother, print M; if it is Takahashi, print T.

Sample Input 1

25 10 11 12

Sample Output 1

Now, they have $25$ milliliters of shampoo.

First, Takahashi's father uses $10$ milliliters, leaving $15$.
Next, Takahashi's mother uses $11$ milliliters, leaving $4$.
Finally, Takahashi tries to use $12$ milliliters and runs short of shampoo since only $4$ is remaining.

Sample Input 2

30 10 10 10

Sample Output 2

Now, they have $30$ milliliters of shampoo.

First, Takahashi's father uses $10$ milliliters, leaving $20$.
Next, Takahashi's mother uses $10$ milliliters, leaving $10$.
Then, Takahashi uses $10$ milliliters, leaving $0$.
Next day, Takahashi's father tries to use $10$ milliliters and runs short of shampoo since only $0$ is remaining.

Sample Input 3

100000 1 1 1