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 C++14 (Clang 3.8.0) (judge verdict: Wrong Answer)

#include<algorithm>
#include<iostream>
#include<functional>
#include<cmath>
#include<iomanip>
using namespace std;
int main(){
  int n,x=0,ans,bb=-10000;
  string aa;
  cin>>n>>aa;
  for(int i=0;i<n;i++){
    if(aa[i]=='D')
      x--;
    else{
      x++;
    }
    ans=max(x,bb);
    if(x>bb)
      bb=x;
  }
  cout<<ans<<endl;
}