// start A.cpp // start A.cpp // #pragma GCC target("avx2") // #pragma GCC optimize("O3") // #pragma GCC optimize("unroll-loops") #include using namespace std; using ll = long long; using ull = unsigned long long; template using pq = priority_queue; template using qp = priority_queue, greater>; #define vec(T, A, ...) vector A(__VA_ARGS__); #define vvec(T, A, h, ...) vector> A(h, vector(__VA_ARGS__)); #define vvvec(T, A, h1, h2, ...) vector>> A(h1, vector>(h2, vector(__VA_ARGS__))); #ifndef RIN__LOCAL #define endl "\n" #endif #define spa ' ' #define len(A) A.size() #define all(A) begin(A), end(A) #define fori1(a) for (ll _ = 0; _ < (a); _++) #define fori2(i, a) for (ll i = 0; i < (a); i++) #define fori3(i, a, b) for (ll i = (a); i < (b); i++) #define fori4(i, a, b, c) for (ll i = (a); ((c) > 0 || i > (b)) && ((c) < 0 || i < (b)); i += (c)) #define overload4(a, b, c, d, e, ...) e #define fori(...) overload4(__VA_ARGS__, fori4, fori3, fori2, fori1)(__VA_ARGS__) vector stoc(string &S) { int n = S.size(); vector ret(n); for (int i = 0; i < n; i++) ret[i] = S[i]; return ret; } #define INT(...) \ int __VA_ARGS__; \ inp(__VA_ARGS__); #define LL(...) \ ll __VA_ARGS__; \ inp(__VA_ARGS__); #define STRING(...) \ string __VA_ARGS__; \ inp(__VA_ARGS__); #define CHAR(...) \ char __VA_ARGS__; \ inp(__VA_ARGS__); #define VEC(T, A, n) \ vector A(n); \ inp(A); #define VVEC(T, A, n, m) \ vector> A(n, vector(m)); \ inp(A); const ll MOD1 = 1000000007; const ll MOD9 = 998244353; template auto min(const T &a) { return *min_element(all(a)); } template auto max(const T &a) { return *max_element(all(a)); } template auto clamp(T &a, const S &l, const S &r) { return (a > r ? r : a < l ? l : a); } template inline bool chmax(T &a, const S &b) { return (a < b ? a = b, 1 : 0); } template inline bool chmin(T &a, const S &b) { return (a > b ? a = b, 1 : 0); } template inline bool chclamp(T &a, const S &l, const S &r) { auto b = clamp(a, l, r); return (a != b ? a = b, 1 : 0); } void FLUSH() { cout << flush; } void print() { cout << endl; } template void print(Head &&head, Tail &&... tail) { cout << head; if (sizeof...(Tail)) cout << spa; print(forward(tail)...); } template void print(vector &A) { int n = A.size(); for (int i = 0; i < n; i++) { cout << A[i]; if (i != n - 1) cout << ' '; } cout << endl; } template void print(vector> &A) { for (auto &row : A) print(row); } template void print(pair &A) { cout << A.first << spa << A.second << endl; } template void print(vector> &A) { for (auto &row : A) print(row); } template void prisep(vector &A, S sep) { int n = A.size(); for (int i = 0; i < n; i++) { cout << A[i]; if (i != n - 1) cout << sep; } cout << endl; } template void priend(T A, S end) { cout << A << end; } template void priend(T A) { priend(A, spa); } template bool printif(bool f, T A, S B) { if (f) print(A); else print(B); return f; } template void inp(T &... a) { (cin >> ... >> a); } template void inp(vector &A) { for (auto &a : A) cin >> a; } template void inp(vector> &A) { for (auto &row : A) inp(row); } template void inp(pair &A) { inp(A.first, A.second); } template void inp(vector> &A) { for (auto &row : A) inp(row.first, row.second); } template T sum(vector &A) { T tot = 0; for (auto a : A) tot += a; return tot; } template vector compression(vector X) { sort(all(X)); X.erase(unique(all(X)), X.end()); return X; } vector> read_edges(int n, int m, bool direct = false, int indexed = 1) { vector> edges(n, vector()); for (int i = 0; i < m; i++) { INT(u, v); u -= indexed; v -= indexed; edges[u].push_back(v); if (!direct) edges[v].push_back(u); } return edges; } vector> read_tree(int n, int indexed = 1) { return read_edges(n, n - 1, false, indexed); } template vector>> read_wedges(int n, int m, bool direct = false, int indexed = 1) { vector>> edges(n, vector>()); for (int i = 0; i < m; i++) { INT(u, v); T w; inp(w); u -= indexed; v -= indexed; edges[u].push_back({v, w}); if (!direct) edges[v].push_back({u, w}); } return edges; } template vector>> read_wtree(int n, int indexed = 1) { return read_wedges(n, n - 1, false, indexed); } inline bool yes(bool f = true) { cout << (f ? "yes" : "no") << endl; return f; } inline bool Yes(bool f = true) { cout << (f ? "Yes" : "No") << endl; return f; } inline bool YES(bool f = true) { cout << (f ? "YES" : "NO") << endl; return f; } inline bool no(bool f = true) { cout << (!f ? "yes" : "no") << endl; return f; } inline bool No(bool f = true) { cout << (!f ? "Yes" : "No") << endl; return f; } inline bool NO(bool f = true) { cout << (!f ? "YES" : "NO") << endl; return f; } // start data_structure/DynamicLiChaoTree.hpp template struct DynamicLiChaoTree { struct Line { T a, b; Line(T a, T b) : a(a), b(b) {} inline T get(T x) const { return a * x + b; } }; struct Node { Line x; Node *l, *r; Node(const Line &x) : x{x}, l{nullptr}, r{nullptr} {} }; Node *root; DynamicLiChaoTree() : root{nullptr} {} Node *add_line(Node *t, Line &x, const T &l, const T &r, const T &xl, const T &xr) { if (!t) return new Node(x); T tl = t->x.get(l); T tr = t->x.get(r); if (tl <= xl && tr <= xr) return t; else if (tl >= xl && tr >= xr) { t->x = x; return t; } else { T m = (l + r) / 2; if (m == r) m--; T tm = t->x.get(m); T xm = x.get(m); if (tm > xm) { swap(t->x, x); if (xl >= tl) t->l = add_line(t->l, x, l, m, tl, tm); else t->r = add_line(t->r, x, m + 1, r, tm + x.a, tr); } else { if (tl >= xl) t->l = add_line(t->l, x, l, m, xl, xm); else t->r = add_line(t->r, x, m + 1, r, xm + x.a, xr); } return t; } } void add_line(const T &a, const T &b) { Line x(a, b); root = add_line(root, x, low, upp, x.get(low), x.get(upp)); } Node *add_segment(Node *t, Line &x, const T &a, const T &b, const T &l, const T &r, const T &xl, const T &xr) { if (r < a || b < l) return t; if (a <= l && r <= b) { Line y{x}; return add_line(t, y, l, r, xl, xr); } if (t) { T tl = t->x.get(l); T tr = t->x.get(r); if (tl <= xl && tr <= xr) return t; } else { t = new Node(Line(0, inf)); } T m = (l + r) / 2; if (m == r) m--; T xm = x.get(m); t->l = add_segment(t->l, x, a, b, l, m, xl, xm); t->r = add_segment(t->r, x, a, b, m + 1, r, xm + x.a, xr); return t; } void add_segment(const T &l, const T &r, const T &a, const T &b) { Line x(a, b); root = add_segment(root, x, l, r - 1, low, upp, x.get(low), x.get(upp)); } T query(const Node *t, const T &l, const T &r, const T &x) const { if (!t) return inf; if (l == r) return t->x.get(x); T m = (l + r) / 2; if (m == r) m--; if (x <= m) return min(t->x.get(x), query(t->l, l, m, x)); else return min(t->x.get(x), query(t->r, m + 1, r, x)); } T query(const T &x) const { return query(root, low, upp, x); } }; // end data_structure/DynamicLiChaoTree.hpp // restart A.cpp // start string/Z_algorithm.hpp vector Z_algorithm(string S) { int n = S.size(); vector Z(n); Z[0] = n; int i = 1; int j = 0; while (i < n) { while (i + j < n && S[j] == S[i + j]) j++; Z[i] = j; if (j == 0) { i++; continue; } int k = 1; while (i + k < n && k + Z[k] < j) { Z[i + k] = Z[k]; k++; } i += k; j -= k; } return Z; } template vector Z_algorithm(vector S) { int n = S.size(); vector Z(n); Z[0] = n; int i = 1; int j = 0; while (i < n) { while (i + j < n && S[j] == S[i + j]) j++; Z[i] = j; if (j == 0) { i++; continue; } int k = 1; while (i + k < n && k + Z[k] < j) { Z[i + k] = Z[k]; k++; } i += k; j -= k; } return Z; } // end string/Z_algorithm.hpp // restart A.cpp void solve() { INT(n, m); VEC(ll, A, n); VEC(ll, B, m); VEC(ll, C, m); auto D = A; D.insert(D.end(), all(B)); auto Z = Z_algorithm(D); const ll inf = 1LL << 60; DynamicLiChaoTree tree; tree.add_segment(0, 1, 0, 0); fori(i, m) { auto mi = tree.query(i); tree.add_segment(i, i + Z[i + n] + 1, C[i], mi - C[i] * i); } ll ans = tree.query(m); printif(ans == inf, -1, ans); } int main() { cin.tie(0)->sync_with_stdio(0); // cout << fixed << setprecision(12); int t; t = 1; // cin >> t; while (t--) solve(); return 0; } // end A.cpp // end A.cpp