East West University (EWU) is organizing its annual Intra University Programming Contest. In preparation, the organizers have set up a total of \(n\) computers across all the computer labs. However, as experience has shown, not all registered participants actually attend the contest. To accommodate potential no-shows, the organizers always over-register students. This year \(m\) people attended.

You are given \(n\) and \(m\). If there are extra computers available beyond the number of attending students, print "Extra \(x\)" (without quotes), where \(x\) represents the count of available free computers. If some students cannot secure a computer, print "Sad \(y\)" (without quotes), where \(y\) represents the count of those students. Finally, if every attending student has been assigned a computer, and there are no extra computers, print "Perfect!" (without quotes).

The first line contains two integers \(n\) and \(m\) \((1 \leq n,m \leq 300)\) — the number of computers and the number of attended students.

Print the desired output.

Input copy	Output copy
100 100	Perfect!

Input copy	Output copy
220 300	Sad 80

Input copy	Output copy
300 100	Extra 200

In the second example, \(300\) students showed up and only \(220\) computers were available.
In the third example, \(100\) students showed up and \(300\) computers were available.