#include <iostream>
#include <string>
#include <stack>

int main(){
	std::cin.tie(0);
	std::ios::sync_with_stdio(false);

	int N;
	std::string str;

	std::cin >> N >> str;

	int answer[200000] = {};
	std::stack<int> stack;

	for(int i = 0; i < N; ++i){
		if(str[i] == '('){
			stack.push(i);
		}
		else{
			answer[stack.top()] = i + 1;
			answer[i] = stack.top() + 1;
			stack.pop();
		}
	}

	for(int i = 0; i < N; ++i){
		std::cout << answer[i] << std::endl;
	}

	return 0;
}