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



/*以下便利なマクロを定義する。*/

#define rep(i, min, max) for(i=min; i<=max; i=i+1)



#define if_forall(i, min, max, prop)\
\
	rep(i, min, max)\
	{\
		if(!(prop))\
		{\
			break;\
		}\
	}\
\
	if(i==max+1)\



#define if_exists(i, min, max, prop)\
\
	rep(i, min, max)\
	{\
		if(prop)\
		{\
			break;\
		}\
	}\
\
	if(i<max+1)\











/*以下便利な関数を定義する。*/

void ini_int(int array[], int num)
{
	int i=0;

	for(i=0; i<=num; i=i+1)
	{
		array[i]=0;
	}

}



void ini_char(char array[], int num)
{
	int i=0;

	for(i=0; i<=num; i=i+1)
	{
		array[i]='\0';
	}

}



int powi(int base, unsigned int exponent)
{
	int answer=1;

	answer=(int)pow((double)base, (double)exponent);

	return answer;
}



int count_mod(int min, int max, int num)
{
	if(min>0)
	{
		return max/num-(min-1)/num;
	}
	else if(min==0)
	{
		return max/num+1;
	}
	else
	{
		return -1;
	}
}



void  swap_int(int* x, int* y)
{
    int  tmp;

    tmp = *x;
    *x = *y;
    *y = tmp;
}



void  swap_int_array(int x[], int y[], int min, int max)
{
	int i;

    rep(i, min, max)
	{
		swap_int(&x[i], &y[i]);
	}
}



void  swap_char(char* x, char* y)
{
    char  tmp;

    tmp = *x;
    *x = *y;
    *y = tmp;
}



void  swap_char_array(char x[], char y[], int min, int max)
{
	int i;

    rep(i, min, max)
	{
		swap_char(&x[i], &y[i]);
	}
}



void reverse_char(char array[], int min, int max)
{
	int i;

	rep(i, min, (min+max)/2)
	{
		swap_char(&array[i], &array[min+max-i]);
	}
}



void shift_char(char array[], int min, int max, int num)
{
	int i;

	for(i=max; i>=min; i=i-1)
	{
		array[i+num]=array[i];
	}

	rep(i, min, min+num-1)
	{
		array[i]='\0';
	}
}



void sort_asc_int(int array[], int min, int max)
{
	int i, j;

	rep(i, min, max)
	{
		rep(j, i+1, max)
		{
			if(array[i]>array[j])
			{
				swap_int(&array[i], &array[j]);
			}
		}
	}
}



void sort_des_int(int array[], int min, int max)
{
	int i, j;

	rep(i, min, max)
	{
		rep(j, i+1, max)
		{
			if(array[i]<array[j])
			{
				swap_int(&array[i], &array[j]);
			}
		}
	}
}



void sort_asc_char_dic(int size, char array[][size], int min, int max)
{
	int i, j;

	rep(i, min, max)
	{
		rep(j, i+1, max)
		{
			if(strcmp(array[i], array[j])>0)
			{
				swap_char_array(array[i], array[j], 0, size-1);
			}
		}
	}
}



void sort_des_char_dic(int size, char array[][size], int min, int max)
{
	int i, j;

	rep(i, min, max)
	{
		rep(j, i+1, max)
		{
			if(strcmp(array[i], array[j])<0)
			{
				swap_char_array(array[i], array[j], 0, size-1);
			}
		}
	}
}



int max_int(int var1, int var2)
{
	int answer=var1;

	if(answer<var2)
	{
		answer=var2;
	}

	return answer;
}



int max_int_array(int array[], int min, int max)
{
	int i;
	int answer;

	answer=array[min];

	for(i=min+1; i<=max; i=i+1)
	{
		answer=max_int(answer, array[i]);
	}

	return answer;
}



int min_int(int var1, int var2)
{
	int answer=var1;

	if(answer>var2)
	{
		answer=var2;
	}

	return answer;
}



int min_int_array(int array[], int min, int max)
{
	int i;
	int answer;

	answer=array[min];

	for(i=min+1; i<=max; i=i+1)
	{
		answer=min_int(answer, array[i]);
	}

	return answer;
}



int max_char_dic(int size, char array[][size], int min, int max)
{
	int i;
	int answer=min;

	rep(i, min+1, max)
	{
		if(strcmp(array[answer], array[i])<0)
		{
			answer=i;
		}
	}

	return answer;
}



int min_char_dic(int size, char array[][size], int min, int max)
{
	int i;
	int answer=min;

	rep(i, min+1, max)
	{
		if(strcmp(array[answer], array[i])>0)
		{
			answer=i;
		}
	}

	return answer;
}



int sum_array(int array[], int min, int max)
{
	int i=min;
	int answer=0;

	rep(i, min, max)
	{
		answer=answer+array[i];
	}

	return answer;
}



bool containelement_int(int array[], int min, int max, int element)
{
	int i;
	bool answer=0;

	if_exists(i, min, max, array[i]==element)
	{
		answer=1;
	}

	return answer;
}



int count_differentelement_int(int array[], int min, int max)
{
	int i=min;
	int pickup[max];
	ini_int(pickup, max);
	int answer=0;

	rep(i, min, max)
	{
		if(containelement_int(pickup, 0, answer-1, array[i])==0)
		{
			pickup[answer]=array[i];
			answer=answer+1;
		}
	}

	return answer;
}



int count_equalelement_int(int array[], int min, int max, int element)
{
	int i;
	int answer=0;

	rep(i, min, max)
	{
		if(array[i]==element)
		{
			answer=answer+1;
		}
	}

	return answer;
}



int count_equalelement_char(char array[], int min, int max, char element)
{
	int i;
	int answer=0;

	rep(i, min, max)
	{
		if(array[i]==element)
		{
			answer=answer+1;
		}
	}

	return answer;
}



void scanf_int_array(int array[], int min, int max)
{
	int i;
	rep(i, min, max)
	{
		scanf("%d", &array[i]);
	}
}



void scanf_int_array_2(int array1[], int array2[], int min, int max)
{
	int i;
	rep(i, min, max)
	{
		scanf("%d %d", &array1[i], &array2[i]);
	}
}



void scanf_int_array_3(int array1[], int array2[], int array3[], int min, int max)
{
	int i;
	rep(i, min, max)
	{
		scanf("%d %d %d", &array1[i], &array2[i], &array3[i]);
	}
}



void scanf_char_array(char array[], int num)
{
	scanf("%s", array);
	shift_char(array, 0, strlen(array)-1, num);
}



void printf_char_array(char array[], int min, int max)
{
	int i;
	for(i=min; i<=max; i=i+1)
	{
		printf("%c", array[i]);
	}
}











int main()
{
	int i;

	int N;
	scanf("%d", &N);
	char S[N+2];
	scanf_char_array(S, 1);

	int x[N+1];
	x[0]=0;
	rep(i, 1, N)
	{
		if(S[i]=='I')
		{
			x[i]=x[i-1]+1;
		}
		else if(S[i]=='D')
		{
			x[i]=x[i-1]-1;
		}
	}
	printf("%d\n", max_int_array(x, 0, N));
	return 0;
}