Problem:
Score : 200 points

Problem Statement

You have an integer variable x.
Initially, x=0.

Some person gave you a string S of length N, and using the string you performed the following operation N times.
In the i-th operation, you incremented the value of x by 1 if S_i=I, and decremented the value of x by 1 if S_i=D.

Find the maximum value taken by x during the operations (including before the first operation, and after the last operation).

Constraints

1≤N≤100

|S|=N

No characters except I and D occur in S.

Input

The input is given from Standard Input in the following format:

N
S

Output

Print the maximum value taken by x during the operations.

Sample Input 1

5
IIDID

Sample Output 1

2

After each operation, the value of x becomes 1, 2, 1, 2 and 1, respectively. Thus, the output should be 2, the maximum value.

Sample Input 2

7
DDIDDII

Sample Output 2

0

The initial value x=0 is the maximum value taken by x, thus the output should be 0.

Solution in Fortran (GNU Fortran 9.2.1) (judge verdict: Accepted)

program answer
  implicit none
  integer :: N, j, ans, count
  character(len=100) :: S
  character(len=1) :: ss

  ss='I'

  read(*,*) N
  read(*,*) S

  count=0
  ans=0

  do j = 1, N
     if(S(j:j)==ss(1:1)) then
        count=count+1
     else
        count=count-1
     end if

     if(count>ans) then
        ans=count
     end if
  end do

  write(*,*) ans

  stop
 end program answer