#include <bits/stdc++.h>

using namespace std;

#define DIM 100007

long long d, h[DIM], p[2 * DIM], H[2 * DIM], ans, sum, it1, it2;

int n, q, it;

set<int> s;

int main()
{
    scanf("%lld %lld", &n, &q);
    for(int i = 1; i <= n; i++) scanf("%lld", &h[i]);
    for(int i = 1; i <= n; i++) scanf("%lld", &p[i]);
    for(int i = 1; i <= n; i++) H[i] = h[p[i]];
    for(int i = n + 1; i <= 2 * n; i++) H[i] = H[i - n];
    for(int i = n + 1; i <= 2 * n; i++) p[i] = p[i - n];
    it = 1;
    for(int tst = 1; tst <= q + 1; tst++){
        if(tst != 1){
            scanf("%lld", &d);
            d += ans;
            it = (it - 1 + d + n) % n + 1;
        }
        sum = 0;
        ans = 0;
        s.clear();
        for(int i = it; i <= it + n - 1; i++){
            if(s.empty()){
                s.insert(p[i]);
                continue;
            }
            if(s.size() == 1){
                it1 = *s.begin();
                sum += (H[i] - h[it1]) * (H[i] - h[it1]);
                ans += sum;
                s.insert(p[i]);
                continue;
            }
            it1 = *s.begin();
            if(p[i] < it1){
                //cout << it1 << ' ' << H[i] << endl;
                sum += (H[i] - h[it1]) * (H[i] - h[it1]);
                ans += sum;
                s.insert(p[i]);
                continue;
            }
            it1 = *(--s.end());
            if(p[i] > it1){
                //cout << it1 << ' ' << H[i] << endl;
                sum += (H[i] - h[it1]) * (H[i] - h[it1]);
                ans += sum;
                s.insert(p[i]);
                continue;
            }
            auto LB = s.lower_bound(p[i]);
            it1 = *(LB);
            it2 = *(--LB);
            it1 = h[it1];
            it2 = h[it2];
            //cout << it1 << ' ' << H[i] << ' ' << it2 << endl;
            sum -= (it1 - it2) * (it1 - it2);
            sum += (H[i] - it1) * (H[i] - it1);
            sum += (H[i] - it2) * (H[i] - it2);
            ans += sum;
            s.insert(p[i]);
        }
        printf("%lld\n", ans);
    }
    return 0;
}