/** * date : 2022-12-21 00:46:52 */ #define NDEBUG using namespace std; // intrinstic #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include // utility namespace Nyaan { using ll = long long; using i64 = long long; using u64 = unsigned long long; using i128 = __int128_t; using u128 = __uint128_t; template using V = vector; template using VV = vector>; using vi = vector; using vl = vector; using vd = V; using vs = V; using vvi = vector>; using vvl = vector>; template struct P : pair { template P(Args... args) : pair(args...) {} using pair::first; using pair::second; P &operator+=(const P &r) { first += r.first; second += r.second; return *this; } P &operator-=(const P &r) { first -= r.first; second -= r.second; return *this; } P &operator*=(const P &r) { first *= r.first; second *= r.second; return *this; } template P &operator*=(const S &r) { first *= r, second *= r; return *this; } P operator+(const P &r) const { return P(*this) += r; } P operator-(const P &r) const { return P(*this) -= r; } P operator*(const P &r) const { return P(*this) *= r; } template P operator*(const S &r) const { return P(*this) *= r; } P operator-() const { return P{-first, -second}; } }; using pl = P; using pi = P; using vp = V; constexpr int inf = 1001001001; constexpr long long infLL = 4004004004004004004LL; template int sz(const T &t) { return t.size(); } template inline bool amin(T &x, U y) { return (y < x) ? (x = y, true) : false; } template inline bool amax(T &x, U y) { return (x < y) ? (x = y, true) : false; } template inline T Max(const vector &v) { return *max_element(begin(v), end(v)); } template inline T Min(const vector &v) { return *min_element(begin(v), end(v)); } template inline long long Sum(const vector &v) { return accumulate(begin(v), end(v), 0LL); } template int lb(const vector &v, const T &a) { return lower_bound(begin(v), end(v), a) - begin(v); } template int ub(const vector &v, const T &a) { return upper_bound(begin(v), end(v), a) - begin(v); } constexpr long long TEN(int n) { long long ret = 1, x = 10; for (; n; x *= x, n >>= 1) ret *= (n & 1 ? x : 1); return ret; } template pair mkp(const T &t, const U &u) { return make_pair(t, u); } template vector mkrui(const vector &v, bool rev = false) { vector ret(v.size() + 1); if (rev) { for (int i = int(v.size()) - 1; i >= 0; i--) ret[i] = v[i] + ret[i + 1]; } else { for (int i = 0; i < int(v.size()); i++) ret[i + 1] = ret[i] + v[i]; } return ret; }; template vector mkuni(const vector &v) { vector ret(v); sort(ret.begin(), ret.end()); ret.erase(unique(ret.begin(), ret.end()), ret.end()); return ret; } template vector mkord(int N,F f) { vector ord(N); iota(begin(ord), end(ord), 0); sort(begin(ord), end(ord), f); return ord; } template vector mkinv(vector &v) { int max_val = *max_element(begin(v), end(v)); vector inv(max_val + 1, -1); for (int i = 0; i < (int)v.size(); i++) inv[v[i]] = i; return inv; } vector mkiota(int n) { vector ret(n); iota(begin(ret), end(ret), 0); return ret; } template T mkrev(const T &v) { T w{v}; reverse(begin(w), end(w)); return w; } template bool nxp(vector &v) { return next_permutation(begin(v), end(v)); } template using minpq = priority_queue, greater>; } // namespace Nyaan // bit operation namespace Nyaan { __attribute__((target("popcnt"))) inline int popcnt(const u64 &a) { return _mm_popcnt_u64(a); } inline int lsb(const u64 &a) { return a ? __builtin_ctzll(a) : 64; } inline int ctz(const u64 &a) { return a ? __builtin_ctzll(a) : 64; } inline int msb(const u64 &a) { return a ? 63 - __builtin_clzll(a) : -1; } template inline int gbit(const T &a, int i) { return (a >> i) & 1; } template inline void sbit(T &a, int i, bool b) { if (gbit(a, i) != b) a ^= T(1) << i; } constexpr long long PW(int n) { return 1LL << n; } constexpr long long MSK(int n) { return (1LL << n) - 1; } } // namespace Nyaan // inout namespace Nyaan { template ostream &operator<<(ostream &os, const pair &p) { os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p) { is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v) { int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template istream &operator>>(istream &is, vector &v) { for (auto &x : v) is >> x; return is; } istream &operator>>(istream &is, __int128_t &x) { string S; is >> S; x = 0; int flag = 0; for (auto &c : S) { if (c == '-') { flag = true; continue; } x *= 10; x += c - '0'; } if (flag) x = -x; return is; } istream &operator>>(istream &is, __uint128_t &x) { string S; is >> S; x = 0; for (auto &c : S) { x *= 10; x += c - '0'; } return is; } ostream &operator<<(ostream &os, __int128_t x) { if (x == 0) return os << 0; if (x < 0) os << '-', x = -x; string S; while (x) S.push_back('0' + x % 10), x /= 10; reverse(begin(S), end(S)); return os << S; } ostream &operator<<(ostream &os, __uint128_t x) { if (x == 0) return os << 0; string S; while (x) S.push_back('0' + x % 10), x /= 10; reverse(begin(S), end(S)); return os << S; } void in() {} template void in(T &t, U &...u) { cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T &t, const U &...u) { cout << t; if (sizeof...(u)) cout << sep; out(u...); } void outr() {} template void outr(const T &t, const U &...u) { cout << t; outr(u...); } struct IoSetupNya { IoSetupNya() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7); } } iosetupnya; } // namespace Nyaan // debug #ifdef NyaanDebug #define trc(...) (void(0)) #else #define trc(...) (void(0)) #endif #ifdef NyaanLocal #define trc2(...) (void(0)) #else #define trc2(...) (void(0)) #endif // macro #define each(x, v) for (auto&& x : v) #define each2(x, y, v) for (auto&& [x, y] : v) #define all(v) (v).begin(), (v).end() #define rep(i, N) for (long long i = 0; i < (long long)(N); i++) #define repr(i, N) for (long long i = (long long)(N)-1; i >= 0; i--) #define rep1(i, N) for (long long i = 1; i <= (long long)(N); i++) #define repr1(i, N) for (long long i = (N); (long long)(i) > 0; i--) #define reg(i, a, b) for (long long i = (a); i < (b); i++) #define regr(i, a, b) for (long long i = (b)-1; i >= (a); i--) #define fi first #define se second #define ini(...) \ int __VA_ARGS__; \ in(__VA_ARGS__) #define inl(...) \ long long __VA_ARGS__; \ in(__VA_ARGS__) #define ins(...) \ string __VA_ARGS__; \ in(__VA_ARGS__) #define in2(s, t) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i]); \ } #define in3(s, t, u) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i], u[i]); \ } #define in4(s, t, u, v) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i], u[i], v[i]); \ } #define die(...) \ do { \ Nyaan::out(__VA_ARGS__); \ return; \ } while (0) namespace Nyaan { void solve(); } int main() { Nyaan::solve(); } // using namespace std; using namespace std; enum Objective { MAXIMIZE = +1, MINIMIZE = -1, }; template struct Line { mutable T k, m, p; bool operator<(const Line& o) const { return k < o.k; } bool operator<(T x) const { return p < x; } }; template T lc_inf() { return numeric_limits::max(); } template <> long double lc_inf() { return 1 / .0; } template T lc_div(T a, T b) { return a / b - ((a ^ b) < 0 and a % b); } template <> long double lc_div(long double a, long double b) { return a / b; }; template struct LineContainer : multiset, less<>> { using super = multiset, less<>>; using super::begin, super::end, super::insert, super::erase; using super::empty, super::lower_bound; const T inf = lc_inf(); bool insect(typename super::iterator x, typename super::iterator y) { if (y == end()) return x->p = inf, false; if (x->k == y->k) x->p = (x->m > y->m ? inf : -inf); else x->p = lc_div(y->m - x->m, x->k - y->k); return x->p >= y->p; } void add(T k, T m) { auto z = insert({k * objective, m * objective, 0}), y = z++, x = y; while (insect(y, z)) z = erase(z); if (x != begin() and insect(--x, y)) insect(x, y = erase(y)); while ((y = x) != begin() and (--x)->p >= y->p) insect(x, erase(y)); } T query(T x) { assert(!empty()); auto l = *lower_bound(x); return (l.k * x + l.m) * objective; } }; template using MinLineContainer = LineContainer; template using MaxLineContainer = LineContainer; /** * @brief Line container */ struct LineContainer2D { using ld = long double; using ll = long long; ld Xmax, Xmin, Ymax, Ymin; static constexpr ld INF = 4.1e18; MinLineContainer minlc; MaxLineContainer maxlc; LineContainer2D() : Xmax(-INF), Xmin(INF), Ymax(-INF), Ymin(INF) {} void add(ld x, ld y) { Xmax = max(Xmax, x), Xmin = min(Xmin, x); Ymax = max(Ymax, y), Ymin = min(Ymin, y); minlc.add(y, x), maxlc.add(y, x); } ld max_ld(ld a, ld b) { if (a == 0) return b * (b > 0 ? Ymax : Ymin); if (b == 0) return a * (a > 0 ? Xmax : Xmin); ld c = b / a; if (a > 0) { auto l = maxlc.lower_bound(c); ld x = l->m, y = l->k; return a * x + b * y; } else { auto l = minlc.lower_bound(c); ld x = -l->m, y = -l->k; return a * x + b * y; } } ld min_ld(ld a, ld b) { return -max_ld(-a, -b); } ll max_ll(ll a, ll b) { return round(clamp(max_ld(a, b), -INF, INF)); } ll min_ll(ll a, ll b) { return round(clamp(min_ld(a, b), -INF, INF)); } private: ll round(ld a) { return a >= 0.0 ? a + 0.5 : a - 0.5; } }; /** * @brief Line container (for max(ax + by) query) */ using namespace Nyaan; void q() { inl(N, Q); vl A(N); in(A); LineContainer2D lc; rep(i,N)lc.add(i,A[i]); vl xs; rep(i,N-1)xs.push_back(A[i]-A[i+1]); sort(all(xs)); auto rui=mkrui(xs); trc(xs); trc(rui); rep(i,Q){ inl(d); ll z=-lc.min_ll(d,-1); // 切片 z ll ans=z-A[0]; ll l=lb(xs,-d); trc(z,ans,l); ans+=(rui.back()-rui[l])+(N-1-l)*d; out(ans); } } void Nyaan::solve() { int t = 1; // in(t); while (t--) q(); }