#pragma GCC optimize("Ofast")
#pragma GCC target("avx2")

char*mmap();
#define RD(v) int v=0;{int _c;while(_c=*rp++-48,_c>=0)v=v*10+_c;}

char wbuf[1<<28];
#define WT(v) {long _z=v,_n=0,_d=0;while(++_n,_d=_d<<8|0x30|_z%10,_z/=10);*(long*)wp=_d;wp+=_n;}

a[200000];
b[200000];

main(){
	char*rp=mmap(0l,1l<<28,1,2,0,0ll);
	RD(n);
	char*wp=wbuf;
	int an=0;
	for(int i=0;i<n;++i){
		if(*rp++=='('){
			a[an++]=i;
		}else{
			int j=a[--an];
			b[i]=j+1;
			b[j]=i+1;
		}
	}
	for(int i=0;i<n;++i){
		WT(b[i]);
		*wp++=10;
	}
	write(1,wbuf,wp-wbuf);
	_exit(0);
}