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Pedro and Paulo usually go for a morning run using the same track. Today, they decided to measure the time each of them takes to finish the track.

Pedro is learning how to code at school and he likes to test his skills.

Help Pedro make a simple program that says who took the least time to complete the track given each time. Since Pedro had the idea for the program, he considers himself victorious in case of a tie.

Input

Input consists of two real numbers A and B, representing the time it took Pedro and Paulo to complete the track, respectively.

Output

The output of your program should contain the word "Pedro" if he completed the track faster (or at the same time) than Paulo, or "Paulo" otherwise.

Sample Input Sample Output
2.8 3 Pedro
15.3 9.2 Paulo