#include<stdio.h>

void push(int x,int *p,int a[]){
	int m;
	m = *p;
	a[m] = x;
	m++;
	*p = m;
}

int pop(int *p,int a[]){
	int m;
	m = *p;
	m--;
	*p = m;
	return a[m];
}

int main(void){
	int n,p=0,a[262144],m[262144],i,pp;
	char s[262144];
	scanf("%d%s",&n,s);
	for(i = 1;i <= n;i++){
		if(s[i-1] == '('){push(i,&p,a);}
		else{
			pp = pop(&p,a);
			m[pp] = i;
			m[i] = pp;
		}
	}
	for(i = 1;i <= n;i++){printf("%d\n",m[i]);}
	return 0;
}