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: Wrong Answer)

#include<stdio.h>
#include<string.h>
int main(void){
    int x=0,N,i,X[100];
    char S[100];
    scanf("%d",&N);
    scanf("%s",S);

    for(i=0;i<N;i++){
        if(S[i]=='I'){
          x++;  
        }else if(S[i]=='D'){
            x--;
        }
        X[i]=x;
    }
    x=X[0];
    for(i=1;i<N;i++){
        if(X[i]>X[i-1]){
            x=X[i];
        }
    }
    printf("%d",x);
    return 0;
}