This code is in python

It's a walking tour day in SIS.Winter, so tt groups of students are visiting Torzhok. Streets of Torzhok are so narrow that students have to go in a row one after another.

Initially, some students are angry. Let's describe a group of students by a string of capital letters "A" and "P":

• "A" corresponds to an angry student
• "P" corresponds to a patient student

Such string describes the row from the last to the first student.

Every minute every angry student throws a snowball at the next student. Formally, if an angry student corresponds to the character with index ii in the string describing a group then they will throw a snowball at the student that corresponds to the character with index i+1i+1 (students are given from the last to the first student). If the target student was not angry yet, they become angry. Even if the first (the rightmost in the string) student is angry, they don't throw a snowball since there is no one in front of them.

Let's look at the first example test. The row initially looks like this: PPAP. Then, after a minute the only single angry student will throw a snowball at the student in front of them, and they also become angry: PPAA. After that, no more students will become angry.

Your task is to help SIS.Winter teachers to determine the last moment a student becomes angry for every group.

Input

The first line contains a single integer tt the number of groups of students (1t1001t100). The following 2t2t lines contain descriptions of groups of students.

The description of the group starts with an integer kiki (1ki1001ki100) the number of students in the group, followed by a string sisi, consisting of kiki letters "A" and "P", which describes the ii-th group of students.

Output

For every group output single integer the last moment a student becomes angry.

Examples

input

Copy

1 4 PPAP 

output

Copy

1 

input

Copy

3 12 APPAPPPAPPPP 3 AAP 3 PPA 

output

Copy

4 1 0 

Note

In the first test, after 11 minute the state of students becomes PPAA. After that, no new angry students will appear.

In the second tets, state of students in the first group is:

• after 11 minute AAPAAPPAAPPP
• after 22 minutes AAAAAAPAAAPP
• after 33 minutes AAAAAAAAAAAP
• after 44 minutes all 1212 students are angry

In the second group after 11 minute, all students are angry.