Score : $100$ points

问题陈述

在高桥家中共有三个人居住：高桥、他的父亲和母亲。他们每个人每晚都在浴室洗头。

按照顺序，他的父亲、母亲和高桥依次洗澡，并分别使用 $A$、$B$ 和 $C$ 毫升的洗发水。

今天早上，洗发水瓶中装有 $V$ 毫升的洗发水。如果不进行补充，谁会是第一个洗发水用完而无法洗头的人？

以上为通义千问 qwen-max 翻译，仅供参考。

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

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 Input 2

30 10 10 10

Sample Output 2

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 Input 3

100000 1 1 1

Sample Output 3

M

update @ 2024/3/10 10:26:26