def solution(arrangement):
    tmp = []
    answer = 0
    for i in range(len(arrangement)) :
        if(arrangement[i] == '(') :
            tmp.append(1)
        else:
            tmp.pop()
            if arrangement[i-1]=='(' :
                answer += len(tmp)
            else :
                answer+=1
    print(answer)
    
    return answer