C++ :

#include<iostream>
#include<cstdio>
using namespace std;
const int MAXN=5*100001;
int n,a[MAXN],fa[MAXN],last[MAXN];
long long f[MAXN],sum[MAXN],ans;
int main(){
	scanf("%d\n",&n);
	for(int i=1;i<=n;++i)a[i]=getchar()-'(';
	for(int i=2;i<=n;++i)scanf("%d",&fa[i]);
	for(int i=1;i<=n;ans^=(i*1LL*sum[i]),++i)
		if(a[i]==0)last[i]=i,sum[i]=sum[fa[i]];
		else{
			if(last[fa[i]]!=0)f[i]=f[fa[last[fa[i]]]]+1;
			last[i]=last[fa[last[fa[i]]]],sum[i]=sum[fa[i]]+f[i];
		}
	printf("%lld",ans);
	return 0;
}