Problem9577--ABC243 —— A - Shampoo

9577: ABC243 —— A - Shampoo

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Time Limit : 1.000 sec  Memory Limit : 512 MiB

Description

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?

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`.

Constraints

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

Sample 1 Input

25 10 11 12

Sample 1 Output

T

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 2 Input

30 10 10 10

Sample 2 Output

F

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 3 Input

100000 1 1 1

Sample 3 Output

M

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