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 (GCC 5.4.1) (judge verdict: Accepted)


#include<stdio.h>
#include<string.h>
#include<stdlib.h>
#include<math.h>

int main(){
    int n;
    scanf("%d",&n);
    int i;
    char s[n];
    scanf("%s",s);
    int max=0,num=0;
    for(i=0;i<=n-1;i++){
        if(s[i]=='I')num++;
        else num--;
        if(num>max)max=num;
    }
    printf("%d",max);
    return 0;
    
}