Comparing Rooms

Time limit1sMemory limit1024 MB

Summary

Given two rectangles' side lengths, the task is to print M, P, or E depending on which room has the larger area or whether the areas are equal.

Level: Easy1 of 10
Topics: Implementation, Math
Solved: No attempts yet

Problem

Masha and Petya want to find out whose room is bigger. Masha's room is a rectangle measuring $a$ by $b$ meters, and Petya's room is a rectangle measuring $c$ by $d$ meters.

Write a program that determines whose room is bigger: Masha's or Petya's.

Input

Four natural numbers $a$ , $b$ , $c$ , and $d$ are given on one line, separated by spaces ( $1 \le a, b, c, d \le 1000$ ).

Output

If Masha's room is bigger, print the Latin letter M. If Petya's room is bigger, print the Latin letter P. If the two rooms have the same area, print the Latin letter E.

Examples1

Example 1
Input
```
3 6 4 4
```
Expected output
```
M
```