K. University Exam
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

You have to write a program to decide if a student passed an exam or failed it.

A university exam is divided into a practical exam and a theoretical exam.

You should pass the practical exam to be allowed to take the theoretical exam.

The practical exam score is out of $$$40$$$, and the theoretical exam score is out of $$$60$$$. Thus, the total exam score is out of $$$100$$$ points, which is calculated by summing up the scores of the practical and theoretical exams.

You pass the practical exam if you score at least $$$18$$$ out of $$$40$$$, and you pass the full exam if you score at least $$$60$$$ out of $$$100$$$.

Input

The first line of the input contains a single integer $$$P$$$ ($$$0 \le P \le 40$$$) — the student's score in the practical exam.

If the student passes the practical exam, the second line of the input will contain a single integer $$$T$$$ ($$$0 \le T \le 60$$$) — the student's score in the theoretical exam.

Output

Output one line containing a single string which is either "Passed" (without quotes) if the student passed the exam or "Failed" (without quotes) otherwise.

Notice that the string must be either "Passed" (without quotes) or "Failed" (without quotes). Strings such as "passed" or "FAILED", etc. will not be accepted.

Examples
Input
30
52
Output
Passed
Input
10
Output
Failed
Note

In the first sample test, the student's score in the practical exam was $$$30$$$, which is not less than $$$18$$$. Thus, the student was able to take the theoretical exam. The student's score in the theoretical exam was $$$52$$$; thus, the student's total score is $$$82$$$, and they passed the exam.

In the second sample test, the student didn't pass the practical exam, and thus they were unable to take the theoretical exam, thus failing the exam with a total score of $$$10 + 0 = 0$$$.