#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;
char ch[1005];
int sum[1005];
int sum2[1005];
int main(){
    int n;
    scanf("%d",&n);
    while(n--){
        memset(sum,0,sizeof(sum));
        memset(sum2,0,sizeof(sum2));
        scanf("%s",ch);
        int cnt = 0,cnt1 = 0,cnt2 = 0;
        int ans = 1e9;
        int len = strlen(ch);
        for(int i = 0; i < len; i++){
            if(ch[i] == ‘(‘)
                sum[i+1] = sum[i] + 1;
            else sum[i+1] = sum[i];
        }
        for(int i = len-1; i > 0; i--){
            if(ch[i] == ‘)‘)
                sum2[i-1] = sum2[i] + 1;
            else sum2[i-1] = sum2[i];
        }
        for(int i = 0; i < len; i++){
            ans = min(ans,sum[i] + sum2[i]);
        }
        printf("%d\n",ans);
    }
    return 0;
}