05. Mathematical Expression

#include <iostream>
#include <string>

using namespace std;

int main() {
    string str;
    getline(cin, str);

    int openBrackets = 0;

    for (int i = 0; i < str.length(); i++) {
        if (str[i] == '(') {
            openBrackets++;
        }
        else if (str[i] == ')') {
            openBrackets--;
        }
        if (openBrackets < 0) {
            break;
        }
    }

    cout << (openBrackets == 0 ? "correct" : "incorrect") << endl;
    return 0;
}