#include #include #include #include #include #include #include #include #include #include static const int MOD = 998244353; using ll = long long; using uint = unsigned; using ull = unsigned long long; using namespace std; template constexpr T INF = ::numeric_limits::max() / 32 * 15 + 208; template class LiChaoTree { struct Line { T a, b; Line(T a, T b) : a(a), b(b) {} inline T eval(T x) const { return a * x + b; } inline bool over(const Line &other, const T &x) const { return eval(x) < other.eval(x); } }; void inner_update(T a, T b, int left, int right, int seg_idx){ Line line(a, b); while (true){ int mid = (left + right) >> 1; bool l_over = line.over(seg[seg_idx], xset[left]); bool r_over = line.over(seg[seg_idx], xset[right-1]); if(l_over == r_over){ if(l_over) swap(seg[seg_idx], line); return; } bool m_over = line.over(seg[seg_idx], xset[mid]); if(m_over) swap(seg[seg_idx], line); if(l_over != m_over) seg_idx = seg_idx << 1, right = mid; else seg_idx = seg_idx << 1 | 1, left = mid; } } void inner_update(T a, T b, int seg_idx){ int left, right; int bit = 31 - __builtin_clz(seg_idx); left = (sz >> bit) * (seg_idx - (1 << bit)); right = left + (sz >> bit); inner_update(a, b, left, right, seg_idx); } T inner_query(int x, int seg_idx) { T ret = seg[seg_idx].eval(x); while (seg_idx > 1) { seg_idx = seg_idx >> 1; ret = min(ret, seg[seg_idx].eval(x)); } return ret; } public: vector xset; vector seg; int sz; LiChaoTree(const vector &xs) : xset(xs) { sort(xset.begin(),xset.end()); xset.erase(unique(xset.begin(),xset.end()),xset.end()); sz = 1; while(sz < xset.size()) sz <<= 1; while(xset.size() < sz) xset.emplace_back(xset.back() + 1); seg.assign(2 * sz, Line(0, INF)); } void update_line(T a, T b) { inner_update(a, b, 0, sz, 1); } void update_segment(T a, T b, T l, T r){ int l_z = lower_bound(xset.begin(),xset.end(),l) - xset.begin() + sz; int r_z = lower_bound(xset.begin(),xset.end(),r) - xset.begin() + sz; for (; l_z < r_z; l_z >>= 1, r_z >>= 1) { if (l_z & 1) inner_update(a, b, l_z++); if (r_z & 1) inner_update(a, b, --r_z); } } T query_idx(int k){ const T x = xset[k]; return inner_query(x, k+sz); } T query(T x) { int k = lower_bound(xset.begin(),xset.end(),x) - xset.begin(); return inner_query(x, k+sz); } }; vector Z_algorithm(const vector &s){ vector res(s.size()); for (int i = 1, j = 0; i < s.size(); ++i) { if(i + res[i-j] < j + res[j]) res[i] = res[i-j]; else { int k = max(0, j + res[j]-i); while(i + k < s.size() && s[k] == s[i+k]) ++k; res[i] = k; j = i; } } res.front() = s.size(); return res; } int main() { int n, m; cin >> n >> m; vector A(n); for (auto &&i : A) scanf("%d", &i); vector B(m); for (auto &&i : B) scanf("%d", &i); vector C(m); for (auto &&i : C) scanf("%d", &i); vector idx(m+2); iota(idx.begin(),idx.end(), 0); LiChaoTree> seg(idx); vector AB(n+m+1); for (int i = 0; i < n; ++i) { AB[i] = A[i]; } for (int i = 0; i < m; ++i) { AB[i+n] = B[i]; } auto Z = Z_algorithm(AB); seg.update_segment(0, 0, 0, 1); for (int i = 0; i < m; ++i){ int len = Z[i+n]; ll val = seg.query(i); seg.update_segment(C[i], val-(ll)C[i]*i, i+1, i+len+1); } ll ans = seg.query_idx(m); if(ans == INF) puts("-1"); else cout << ans << "\n"; return 0; }