#line 2 "/Users/noya2/Desktop/Noya2_library/template/template.hpp" using namespace std; #include #line 1 "/Users/noya2/Desktop/Noya2_library/template/inout_old.hpp" namespace noya2 { 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; } 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...); } template void out(const vector> &vv){ int s = (int)vv.size(); for (int i = 0; i < s; i++) out(vv[i]); } struct IoSetup { IoSetup(){ cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7); } } iosetup_noya2; } // namespace noya2 #line 1 "/Users/noya2/Desktop/Noya2_library/template/const.hpp" namespace noya2{ const int iinf = 1'000'000'007; const long long linf = 2'000'000'000'000'000'000LL; const long long mod998 = 998244353; const long long mod107 = 1000000007; const long double pi = 3.14159265358979323; const vector dx = {0,1,0,-1,1,1,-1,-1}; const vector dy = {1,0,-1,0,1,-1,-1,1}; const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"; const string alp = "abcdefghijklmnopqrstuvwxyz"; const string NUM = "0123456789"; void yes(){ cout << "Yes\n"; } void no(){ cout << "No\n"; } void YES(){ cout << "YES\n"; } void NO(){ cout << "NO\n"; } void yn(bool t){ t ? yes() : no(); } void YN(bool t){ t ? YES() : NO(); } } // namespace noya2 #line 1 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp" namespace noya2{ unsigned long long inner_binary_gcd(unsigned long long a, unsigned long long b){ if (a == 0 || b == 0) return a + b; int n = __builtin_ctzll(a); a >>= n; int m = __builtin_ctzll(b); b >>= m; while (a != b) { int mm = __builtin_ctzll(a - b); bool f = a > b; unsigned long long c = f ? a : b; b = f ? b : a; a = (c - b) >> mm; } return a << min(n, m); } template T gcd_fast(T a, T b){ return static_cast(inner_binary_gcd(abs(a),abs(b))); } long long sqrt_fast(long long n) { if (n <= 0) return 0; long long x = sqrt(n); while ((x + 1) * (x + 1) <= n) x++; while (x * x > n) x--; return x; } template T floor_div(const T n, const T d) { assert(d != 0); return n / d - static_cast((n ^ d) < 0 && n % d != 0); } template T ceil_div(const T n, const T d) { assert(d != 0); return n / d + static_cast((n ^ d) >= 0 && n % d != 0); } template void uniq(vector &v){ sort(v.begin(),v.end()); v.erase(unique(v.begin(),v.end()),v.end()); } template inline bool chmin(T &x, U y) { return (y < x) ? (x = y, true) : false; } template inline bool chmax(T &x, U y) { return (x < y) ? (x = y, true) : false; } template inline bool range(T l, T x, T r){ return l <= x && x < r; } } // namespace noya2 #line 8 "/Users/noya2/Desktop/Noya2_library/template/template.hpp" #define rep(i,n) for (int i = 0; i < (int)(n); i++) #define repp(i,m,n) for (int i = (m); i < (int)(n); i++) #define reb(i,n) for (int i = (int)(n-1); i >= 0; i--) #define all(v) (v).begin(),(v).end() using ll = long long; using ld = long double; using uint = unsigned int; using ull = unsigned long long; using pii = pair; using pll = pair; using pil = pair; using pli = pair; namespace noya2{ /* ~ (. _________ . /) */ } using namespace noya2; #line 2 "c.cpp" #line 2 "/Users/noya2/Desktop/Noya2_library/data_structure/range_tree.hpp" #line 2 "/Users/noya2/Desktop/Noya2_library/data_structure/compress.hpp" #line 4 "/Users/noya2/Desktop/Noya2_library/data_structure/compress.hpp" namespace noya2{ template struct compress { vector raws; compress(const vector &raws_ = {}) : raws(raws_){ build(); } int id(const T &raw){ return lb(raw); } T raw(const int &id){ return raws[id]; } void build(){ uniq(raws); } void add(const T &raw){ raws.push_back(raw); } size_t size(){ return raws.size(); } int lb(const T &raw){ return lower_bound(all(raws),raw) - raws.begin(); } int ub(const T &raw){ return upper_bound(all(raws),raw) - raws.begin(); } bool contains(const T &raw){ int jd = lb(raw); if (jd < (int)size()) return raws[jd] == raw; return false; } int contains_id(const T &raw){ int jd = lb(raw); if (jd < (int)size() && raws[jd] == raw) return jd; return -1; } }; } // namespace noya2 #line 5 "/Users/noya2/Desktop/Noya2_library/data_structure/range_tree.hpp" namespace noya2 { template class data_structure, typename Idx = ll> struct range_tree { using DS = data_structure; using T = typename M::value_type; void join(Idx x, Idx y){ ps.emplace_back(x,y); } void build(){ for (auto &[x, y] : ps) xs.add(x); xs.build(); //siz = bit_ceil(xs.size()); siz = 1; while (siz < (int)(xs.size())) siz <<= 1; ys.resize(siz*2); for (auto &[x, y] : ps){ int xid = xs.id(x) + siz; ys[xid].add(y); while (xid > 1){ xid >>= 1; ys[xid].add(y); } } for (int i = 0; i < 2*siz; i++){ ys[i].build(); ds.emplace_back(ys[i].size()); } } void set(Idx p, Idx q, T val){ int i = xs.id(p) + siz; ds[i].set(ys[i].id(q),val); while (i > 1){ i >>= 1; T lr = M::e(); int i0 = ys[2*i+0].contains_id(q), i1 = ys[2*i+1].contains_id(q); if (i0 != -1) lr = M::op(lr, ds[2*i+0].get(i0)); if (i1 != -1) lr = M::op(lr, ds[2*i+1].get(i1)); ds[i].set(ys[i].id(q),lr); } } T get(Idx p, Idx q){ int ip = xs.contains_id(p); if (ip == -1) return M::e(); int i = ip + siz; int iq = ys[i].contains_id(q); if (iq == -1) return M::e(); return ds[i].get(iq); } T prod(Idx lp, Idx rp, Idx lq, Idx rq){ T res = M::e(); int li = xs.lb(lp), ri = xs.lb(rp); for (li += siz, ri += siz; li < ri; li >>= 1, ri >>= 1){ if (li & 1) res = M::op(res,ds[li].prod(ys[li].lb(lq),ys[li].lb(rq))), ++li; if (ri & 1) --ri, res = M::op(res,ds[ri].prod(ys[ri].lb(lq),ys[ri].lb(rq))); } return res; } int siz; vector> ps; compress xs; vector> ys; vector ds; }; } // namespace noya2 #line 2 "/Users/noya2/Desktop/Noya2_library/data_structure/segment_tree_noya2.hpp" #line 2 "/Users/noya2/Desktop/Noya2_library/misc/monoids.hpp" #line 4 "/Users/noya2/Desktop/Noya2_library/misc/monoids.hpp" namespace noya2{ template struct Max_monoid { using value_type = T; static constexpr T op(const T &a, const T &b){ return max(a,b); } static constexpr T e(){ return std::numeric_limits::min(); } static constexpr T inv(const T &a){ return e(); } }; template struct Min_monoid { using value_type = T; static constexpr T op(const T &a, const T &b){ return min(a,b); } static constexpr T e(){ return std::numeric_limits::max(); } static constexpr T inv(const T &a){ return e(); } }; template struct Plus_group { using value_type = T; static constexpr T op(const T &a, const T &b){ return a + b; } static constexpr T e(){ return T(0); } static constexpr T inv(const T &a){ return -a; } }; template struct Xor_group { using value_type = T; static constexpr T op(const T &a, const T &b){ return a ^ b; } static constexpr T e(){ return T(0); } static constexpr T inv(const T &a){ return a; } }; } // namespace noya2 #line 4 "/Users/noya2/Desktop/Noya2_library/data_structure/segment_tree_noya2.hpp" namespace noya2{ template struct segtree_noya2 { using S = typename M::value_type; public: segtree_noya2() : segtree_noya2(0) {} segtree_noya2(int n) : segtree_noya2(std::vector(n, M::e())) {} segtree_noya2(const std::vector& v) : _n(int(v.size())) { log = 0; size = 1; while (size < _n) size <<= 1, log++; // size = bit_ceil((unsigned int)_n); d = std::vector(2 * size, M::e()); for (int i = 0; i < _n; i++) d[size + i] = v[i]; for (int i = size - 1; i >= 1; i--) { update(i); } } void set(int p, S x) { assert(0 <= p && p < _n); p += size; d[p] = x; for (int i = 1; i <= log; i++) update(p >> i); } S get(int p) { assert(0 <= p && p < _n); return d[p + size]; } S prod(int l, int r) { assert(0 <= l && l <= r && r <= _n); S sml = M::e(), smr = M::e(); l += size; r += size; while (l < r) { if (l & 1) sml = M::op(sml, d[l++]); if (r & 1) smr = M::op(d[--r], smr); l >>= 1; r >>= 1; } return M::op(sml, smr); } S all_prod() { return d[1]; } template int max_right(int l) { return max_right(l, [](S x) { return f(x); }); } template int max_right(int l, F f) { assert(0 <= l && l <= _n); assert(f(M::e())); if (l == _n) return _n; l += size; S sm = M::e(); do { while (l % 2 == 0) l >>= 1; if (!f(M::op(sm, d[l]))) { while (l < size) { l = (2 * l); if (f(M::op(sm, d[l]))) { sm = M::op(sm, d[l]); l++; } } return l - size; } sm = M::op(sm, d[l]); l++; } while ((l & -l) != l); return _n; } template int min_left(int r) { return min_left(r, [](S x) { return f(x); }); } template int min_left(int r, F f) { assert(0 <= r && r <= _n); assert(f(M::e())); if (r == 0) return 0; r += size; S sm = M::e(); do { r--; while (r > 1 && (r % 2)) r >>= 1; if (!f(M::op(d[r], sm))) { while (r < size) { r = (2 * r + 1); if (f(M::op(d[r], sm))) { sm = M::op(d[r], sm); r--; } } return r + 1 - size; } sm = M::op(d[r], sm); } while ((r & -r) != r); return 0; } private: int _n, size, log; std::vector d; void update(int k) { d[k] = M::op(d[2 * k], d[2 * k + 1]); } }; } // namespace noya2 #line 5 "c.cpp" void solve(){ int n, k; in(n);in(k); vector t(n), x(n), c(n);in(t);in(x);in(c); vector y(n), z(n); range_tree,segtree_noya2> rt; rt.join(0,0); rep(i,n){ ll X = x[i]; y[i] = t[i] * k - x[i],z[i] = t[i] * k + x[i]; rt.join(y[i], z[i]); } //out(y); //out(z); rt.build(); vector ids(n); iota(all(ids),0); sort(all(ids),[&](int i, int j){ return t[i] < t[j]; }); rt.set(0,0,0); ll ans = 0; for (int i : ids){ ll dp = c[i] + rt.prod(-linf, y[i]+1, -linf, z[i]+1); chmax(ans,dp); rt.set(y[i], z[i],dp); } out(ans); } int main(){ int t = 1; //in(t); while (t--) { solve(); } }