#define _USE_MATH_DEFINES #include "bits/stdc++.h" using namespace std; #define FOR(i,j,k) for(int (i)=(j);(i)<(int)(k);++(i)) #define rep(i,j) FOR(i,0,j) #define each(x,y) for(auto &(x):(y)) #define mp make_pair #define MT make_tuple #define all(x) (x).begin(),(x).end() #define debug(x) cout<<#x<<": "<<(x)<; using vi = vector; using vll = vector; template class DynamicRMQ { int n; Val init; vector dat; Cmp cmp; inline Val query(int a, int b, int k, int l, int r) { if (r <= a || b <= l) return init; if (a <= l && r <= b) return dat[k]; else { Val vl, vr; vl = query(a, b, k << 1, l, (l + r) >> 1); vr = query(a, b, (k << 1) | 1, (l + r) >> 1, r); return cmp(vl, vr) ? vl : vr; } } public: DynamicRMQ() {} DynamicRMQ(int n_, Val init_) :n(1), init(init_) { for (; n(n << 1, init); } void update(int k, Val a) { k += n; dat[k] = a; while (k > 1) { k >>= 1; dat[k] = cmp(dat[k << 1], dat[(k << 1) | 1]) ? dat[k << 1] : dat[(k << 1) | 1]; } } Val query(int a, int b) { return query(a, b, 1, 0, n); } }; typedef DynamicRMQ > RMinQ64; typedef DynamicRMQ > RMaxQ64; typedef DynamicRMQ > RMinQ32; typedef DynamicRMQ > RMaxQ32; const int N_MAX = 300005; const ll INF = LLONG_MAX / 3; int N, A[N_MAX], X[N_MAX], Y[N_MAX]; void solve() { cin >> N; for (int *a : { A,X,Y }) rep(i, N)cin >> a[i]; RMinQ64 lef(N + 1, INF), rig(N + 1, INF); lef.update(0, -X[0]+Y[0]); rig.update(0, X[0] + Y[0]); ll ans = -1; rep(i, N) { int m = upper_bound(X, X + N, A[i]) - X; ll z = ans = min(lef.query(0, m) + A[i], rig.query(m, N + 1) - A[i]); lef.update(i + 1, z - X[i + 1] + Y[i + 1]); rig.update(i + 1, z + X[i + 1] + Y[i + 1]); } cout << ans << endl; } int main() { ios::sync_with_stdio(false); cin.tie(0); cout << fixed << setprecision(15); solve(); return 0; }