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?

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 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

见题面 Input 部分

见题面 Output 部分