oj.uz

Submission #1068875

# Submission time Handle Problem Language Result Execution time Memory
1068875 2024-08-21T12:43:58 Z hashiryo Potatoes and fertilizers (LMIO19_bulves) C++17
100 / 100
 355 ms 64596 KB 
// #define _GLIBCXX_DEBUG
#include <bits/stdc++.h>
// clang-format off
std::ostream&operator<<(std::ostream&os,std::int8_t x){return os<<(int)x;}
std::ostream&operator<<(std::ostream&os,std::uint8_t x){return os<<(int)x;}
std::ostream&operator<<(std::ostream&os,const __int128_t &u){if(!u)os<<"0";__int128_t tmp=u<0?(os<<"-",-u):u;std::string s;while(tmp)s+='0'+(tmp%10),tmp/=10;return std::reverse(s.begin(),s.end()),os<<s;}
std::ostream&operator<<(std::ostream&os,const __uint128_t &u){if(!u)os<<"0";__uint128_t tmp=u;std::string s;while(tmp)s+='0'+(tmp%10),tmp/=10;return std::reverse(s.begin(),s.end()),os<<s;}
#define checkpoint() (void(0))
#define debug(...) (void(0))
#define debugArray(x,n) (void(0))
#define debugMatrix(x,h,w) (void(0))
// clang-format on
#include <optional>
// clang-format off
template<class T>struct make_long{using type= T;};
template<>struct make_long<int8_t>{using type= int16_t;};
template<>struct make_long<uint8_t>{using type= uint16_t;};
template<>struct make_long<int16_t>{using type= int32_t;};
template<>struct make_long<uint16_t>{using type= uint32_t;};
template<>struct make_long<int32_t>{using type= int64_t;};
template<>struct make_long<uint32_t>{using type= uint64_t;};
template<>struct make_long<int64_t>{using type= __int128_t;};
template<>struct make_long<uint64_t>{using type= __uint128_t;};
template<>struct make_long<float>{using type= double;};
template<>struct make_long<double>{using type= long double;};
template<class T> using make_long_t= typename make_long<T>::type;
// clang-format on
template <class T, bool persistent= false, size_t NODE_SIZE= 1 << (20 + 2 * persistent)> class PiecewiseLinearConvex {
 using D= make_long_t<T>;
 struct Node {
  int ch[2]= {0, 0};
  T z= 0, x= 0, d= 0, a= 0;
  D s= 0;
  size_t sz= 0;
  friend std::ostream &operator<<(std::ostream &os, const Node &t) { return os << "{z:" << t.z << ",x:" << t.x << ",d:" << t.d << ",a:" << t.a << ",s:" << t.s << ",sz:" << t.sz << ",ch:(" << t.ch[0] << "," << t.ch[1] << ")}"; }
 };
 static inline size_t ni= 1;
 static inline Node *n= new Node[NODE_SIZE]{Node{}};
 static inline void info(int t, int d, std::stringstream &ss) {
  if (!t) return;
  info(n[t].ch[0], d + 1, ss);
  for (int i= 0; i < d; ++i) ss << "   ";
  ss << " ■ " << n[t] << '\n', info(n[t].ch[1], d + 1, ss);
 }
 static inline void dump_xs(int t, std::vector<T> &xs) {
  if (t) push(t), dump_xs(n[t].ch[0], xs), xs.push_back(n[t].x), dump_xs(n[t].ch[1], xs);
 }
 static inline void dump_slopes_l(int t, T ofs, std::vector<T> &as) {
  if (t) push(t), dump_slopes_l(n[t].ch[1], ofs, as), ofs+= n[n[t].ch[1]].a + n[t].d, as.push_back(-ofs), dump_slopes_l(n[t].ch[0], ofs, as);
 }
 static inline void dump_slopes_r(int t, T ofs, std::vector<T> &as) {
  if (t) push(t), dump_slopes_r(n[t].ch[0], ofs, as), ofs+= n[n[t].ch[0]].a + n[t].d, as.push_back(ofs), dump_slopes_r(n[t].ch[1], ofs, as);
 }
 static inline int create(T d, T x) { return n[ni].d= d, n[ni].x= x, n[ni].z= 0, ni++; }
 static inline bool lt(T a, T b) {
  if constexpr (std::is_floating_point_v<T>) return 1e-15 < b - a;
  else return a < b;
 }
 template <class Iter> static inline int build(Iter bg, Iter ed) {
  if (bg == ed) return 0;
  auto md= bg + (ed - bg) / 2;
  int t= create(md->first, md->second);
  return n[t].ch[0]= build(bg, md), n[t].ch[1]= build(md + 1, ed), update(t), t;
 }
 template <class Iter> static inline void dump(Iter itr, int t) {
  if (!t) return;
  push(t);
  size_t sz= n[n[t].ch[0]].sz;
  dump(itr, n[t].ch[0]), *(itr + sz)= {n[t].d, n[t].x}, dump(itr + sz + 1, n[t].ch[1]);
 }
 static inline void update(int t) {
  int l= n[t].ch[0], r= n[t].ch[1];
  n[t].sz= 1 + n[l].sz + n[r].sz, n[t].a= n[t].d + n[l].a + n[r].a, n[t].s= D(n[t].x) * n[t].d + n[l].s + n[r].s;
 }
 template <bool b= 1> static inline void prop(int &t, T v) {
  if constexpr (persistent && b) {
   if (!t) return;
   n[ni]= n[t], t= ni++;
  }
  n[t].z+= v, n[t].s+= D(v) * n[t].a, n[t].x+= v;
 }
 static inline void push(int t) {
  if (n[t].z != 0) prop(n[t].ch[0], n[t].z), prop(n[t].ch[1], n[t].z), n[t].z= 0;
 }
 template <bool r> static inline int join_(int t, int a, int b) {
  push(a);
  if constexpr (r) b= join<0>(b, t, n[a].ch[0]);
  else b= join<0>(n[a].ch[1], t, b);
  if constexpr (persistent) n[ni]= n[a], a= ni++;
  if (n[n[a].ch[r]].sz * 4 >= n[b].sz) return n[a].ch[!r]= b, update(a), a;
  return n[a].ch[!r]= n[b].ch[r], update(a), n[b].ch[r]= a, update(b), b;
 }
 template <bool b= 1> static inline int join(int l, int t, int r) {
  if constexpr (persistent && b) n[ni]= n[t], t= ni++;
  if (n[l].sz > n[r].sz * 4) return join_<0>(t, l, r);
  if (n[r].sz > n[l].sz * 4) return join_<1>(t, r, l);
  return n[t].ch[0]= l, n[t].ch[1]= r, update(t), t;
 }
 static inline std::array<int, 3> split(int t, T x) {
  if (!t) return {0, 0, 0};
  push(t);
  if (lt(n[t].x, x)) {
   auto [a, b, c]= split(n[t].ch[1], x);
   return {join(n[t].ch[0], t, a), b, c};
  } else if (lt(x, n[t].x)) {
   auto [a, b, c]= split(n[t].ch[0], x);
   return {a, b, join(c, t, n[t].ch[1])};
  }
  return {n[t].ch[0], t, n[t].ch[1]};
 }
 static inline int unite(int l, int r) {
  if (!l) return r;
  if (!r) return l;
  push(l);
  if constexpr (persistent) n[ni]= n[l], l= ni++;
  auto [a, b, c]= split(r, n[l].x);
  return n[l].d+= n[b].d, join<0>(unite(a, n[l].ch[0]), l, unite(n[l].ch[1], c));
 }
 static inline int insert(int t, T x, T d) {
  if (!t) return n[ni]= Node{{0, 0}, 0, x, d, d, D(x) * d, 1}, ni++;
  push(t);
  if constexpr (persistent) n[ni]= n[t], t= ni++;
  if (lt(x, n[t].x)) return join<0>(insert(n[t].ch[0], x, d), t, n[t].ch[1]);
  if (lt(n[t].x, x)) return join<0>(n[t].ch[0], t, insert(n[t].ch[1], x, d));
  return n[t].d+= d, update(t), t;
 }
 template <bool r> static inline std::pair<int, int> pop(int t) {
  if (push(t); !n[t].ch[r]) return {n[t].ch[!r], t};
  auto [a, s]= pop<r>(n[t].ch[r]);
  if constexpr (r) return {join(n[t].ch[!r], t, a), s};
  else return {join(a, t, n[t].ch[!r]), s};
 }
 template <bool g> static inline bool lgt(T a, T b) {
  if constexpr (g) return lt(b, a);
  else return lt(a, b);
 }
 template <bool r> static inline int cut(int t, T x) {
  if (!t) return t;
  if (push(t); lgt<r>(n[t].x, x)) return cut<r>(n[t].ch[!r], x);
  if (lgt<r>(x, n[t].x)) {
   if constexpr (r) return join(n[t].ch[0], t, cut<1>(n[t].ch[1], x));
   else return join(cut<0>(n[t].ch[0], x), t, n[t].ch[1]);
  }
  return n[t].ch[!r];
 }
 template <bool r> static inline D calc_y(int t, T x, T ol, D ou) {
  for (; t;) {
   if (push(t); lgt<r>(n[t].x, x)) t= n[t].ch[!r];
   else {
    ol+= n[n[t].ch[!r]].a, ou+= n[n[t].ch[!r]].s;
    if (!lgt<r>(x, n[t].x)) break;
    ol+= n[t].d, ou+= D(n[t].x) * n[t].d, t= n[t].ch[r];
   }
  }
  return D(x) * ol - ou;
 }
 template <bool r> static inline std::array<int, 3> split(int t, T p, T &ol, D &ou) {
  push(t);
  T s= ol + n[n[t].ch[!r]].a;
  if (lt(p, s)) {
   auto [a, b, c]= split<r>(n[t].ch[!r], p, ol, ou);
   if constexpr (r) return {a, b, join(c, t, n[t].ch[r])};
   else return {join(n[t].ch[r], t, a), b, c};
  }
  ol= s + n[t].d;
  if (lt(ol, p)) {
   ou+= n[n[t].ch[!r]].s + D(n[t].x) * n[t].d;
   auto [a, b, c]= split<r>(n[t].ch[r], p, ol, ou);
   if constexpr (r) return {join(n[t].ch[!r], t, a), b, c};
   else return {a, b, join(c, t, n[t].ch[!r])};
  }
  ou+= n[n[t].ch[!r]].s;
  return {n[t].ch[0], t, n[t].ch[1]};
 }
 template <bool l> static inline bool lte(T a, T b) {
  if constexpr (l) return lt(a, b);
  else return !lt(b, a);
 }
 template <bool l, bool r> static inline std::pair<int, int> split_cum(int t, T p, T &ol, D &ou) {
  push(t);
  T s= ol + n[n[t].ch[!r]].a;
  if (lte<l>(p, s)) {
   auto [c, b]= split_cum<l, r>(n[t].ch[!r], p, ol, ou);
   if constexpr (l) {
    if constexpr (r) return {join(c, t, n[t].ch[r]), b};
    else return {join(n[t].ch[r], t, c), b};
   } else return {c, b};
  }
  ol= s + n[t].d;
  if (lte<!l>(ol, p)) {
   ou+= n[n[t].ch[!r]].s + D(n[t].x) * n[t].d;
   auto [a, b]= split_cum<l, r>(n[t].ch[r], p, ol, ou);
   if constexpr (l) return {a, b};
   else {
    if constexpr (r) return {join(n[t].ch[!r], t, a), b};
    else return {join(a, t, n[t].ch[!r]), b};
   }
  }
  ou+= n[n[t].ch[!r]].s;
  return {n[t].ch[!r ^ l], t};
 }
 int mn, lr[2];
 bool bf[2];
 T o[2], rem, bx[2];
 D y;
 inline D calc_y(T x) {
  if (!mn) return 0;
  if (lt(x, n[mn].x)) return -calc_y<0>(lr[0], x, o[0], D(n[mn].x) * o[0]);
  if (lt(n[mn].x, x)) return calc_y<1>(lr[1], x, o[1], D(n[mn].x) * o[1]);
  return 0;
 }
 inline void slope_eval(bool neg) {
  T p= neg ? -rem : rem, ol= o[neg];
  if (p <= ol) o[neg]-= p, o[!neg]+= p, y+= D(n[mn].x) * rem;
  else {
   D ou= D(n[mn].x) * ol;
   auto [a, b, c]= neg ? split<1>(lr[neg], p, ol, ou) : split<0>(lr[neg], p, ol, ou);
   o[neg]= ol - p, ol-= n[b].d, ou+= D(n[b].x) * (o[!neg]= p - ol);
   if (neg) y-= ou, lr[!neg]= join(lr[!neg], mn, a), lr[neg]= c;
   else y+= ou, lr[!neg]= join(c, mn, lr[!neg]), lr[neg]= a;
   mn= b;
  }
  rem= 0;
 }
 template <bool l, bool neg> inline void slope_eval_cum() {
  T p= neg ? -rem : rem, ol= o[neg];
  if (lte<l>(p, ol)) o[neg]-= p, o[!neg]+= p, y+= D(n[mn].x) * rem;
  else {
   D ou= D(n[mn].x) * ol;
   auto [a, b]= split_cum<l, neg>(lr[neg], p, ol, ou);
   o[neg]= ol - p, ol-= n[b].d, ou+= D(n[b].x) * (o[!neg]= p - ol);
   if constexpr (l) lr[neg]= a;
   else {
    if constexpr (neg) lr[!neg]= join(lr[!neg], mn, a);
    else lr[!neg]= join(a, mn, lr[!neg]);
   }
   if constexpr (neg) y-= ou;
   else y+= ou;
   mn= b;
  }
  rem= 0;
 }
 template <bool r> void add_inf(T x0) {
  if (bf[r] && !lgt<r>(bx[r], x0)) return;
  if (assert(!bf[!r] || !lgt<r>(bx[!r], x0)), bf[r]= true, bx[r]= x0; !mn) return;
  if (lgt<r>(x0, n[mn].x)) return lr[r]= cut<r>(lr[r], x0), void();
  D q= n[lr[!r]].s + D(n[mn].x) * o[!r];
  T v= o[!r] + n[lr[!r]].a;
  lr[!r]= cut<r>(lr[!r], x0);
  if (!r) y-= q, rem+= v;
  else y+= q, rem-= v;
  if (lr[!r]) std::tie(lr[r], mn)= pop<!r>(lr[!r]), lr[!r]= 0;
  else mn= lr[r]= 0;
  o[r]= n[mn].d, o[!r]= 0;
 }
 inline void prop(T x) {
  if constexpr (persistent) mn= create(n[mn].d, n[mn].x);
  n[mn].x+= x;
 }
public:
 // f(x) := 0
 PiecewiseLinearConvex(): mn(0), lr{0, 0}, bf{0, 0}, o{0, 0}, rem(0), bx{0, 0}, y(0) {}
 //  f(x) := sum max(0, a(x-x0))
 PiecewiseLinearConvex(const std::vector<std::pair<T, T>> &ramps): PiecewiseLinearConvex() {
  int m= ramps.size();
  if (!m) return;
  std::vector<std::pair<T, T>> w(m);
  int s= 0, t= 0;
  for (auto [d, x]: ramps) {
   if (lt(d, 0)) y-= D(d) * x, rem+= d, d= -d;
   if (!lt(0, d)) continue;
   w[s++]= {d, x};
  }
  std::sort(w.begin(), w.begin() + s, [](auto a, auto b) { return a.second < b.second; });
  for (int i= 0; i < s; ++i) {
   if (t && !lt(w[t - 1].second, w[i].second) && !lt(w[i].second, w[t - 1].second)) w[t - 1].first+= w[i].first;
   else w[t++]= w[i];
  }
  mn= create(w[0].first, w[0].second), o[1]= n[mn].d, lr[1]= build(w.begin() + 1, w.begin() + t);
 }
 std::string info() {
  std::stringstream ss;
  if (ss << "\n rem:" << rem << ", y:" << y << ", mn:" << mn << ", lr:{" << lr[0] << ", " << lr[1] << "}\n bf[0]:" << bf[0] << ", bf[1]:" << bf[1] << ", bx[0]:" << bx[0] << ", bx[1]:" << bx[1] << "\n " << "o[0]:" << o[0] << ", o[1]:" << o[1] << "\n"; mn) {
   if (lr[0]) info(lr[0], 1, ss);
   ss << " ■ " << n[mn] << '\n';
   if (lr[1]) info(lr[1], 1, ss);
  }
  return ss.str();
 }
 template <class... Args> static inline void rebuild(Args &...plc) {
  static_assert(std::conjunction_v<std::is_same<PiecewiseLinearConvex, Args>...>);
  constexpr size_t m= sizeof...(Args);
  std::array<std::vector<std::pair<T, T>>, m> ls, rs;
  std::array<std::pair<T, T>, m> mns;
  int i= 0;
  (void)(int[]){(mns[i]= {n[plc.mn].d, n[plc.mn].x}, ls[i].resize(n[plc.lr[0]].sz), rs[i].resize(n[plc.lr[1]].sz), dump(ls[i].begin(), plc.lr[0]), dump(rs[i].begin(), plc.lr[1]), ++i)...};
  ni= 1, i= 0;
  (void)(int[]){((plc.mn ? (plc.mn= create(mns[i].first, mns[i].second)) : 0), plc.lr[0]= build(ls[i].begin(), ls[i].end()), plc.lr[1]= build(rs[i].begin(), rs[i].end()), ++i)...};
 }
 static inline void rebuild(std::vector<PiecewiseLinearConvex> &plcs) {
  size_t m= plcs.size();
  std::vector<std::vector<std::pair<T, T>>> ls(m), rs(m);
  std::vector<std::pair<T, T>> mns(m);
  for (int i= m; i--;) mns[i]= {n[plcs[i].mn].d, n[plcs[i].mn].x}, ls[i].resize(n[plcs[i].lr[0]].sz), rs[i].resize(n[plcs[i].lr[1]].sz), dump(ls[i].begin(), plcs[i].lr[0]), dump(rs[i].begin(), plcs[i].lr[1]);
  ni= 1;
  for (int i= m; i--;) (plcs[i].mn ? (plcs[i].mn= create(mns[i].first, mns[i].second)) : 0), plcs[i].lr[0]= build(ls[i].begin(), ls[i].end()), plcs[i].lr[1]= build(rs[i].begin(), rs[i].end());
 }
 static void reset() { ni= 1; }
 static bool pool_empty() {
  if constexpr (persistent) return ni >= NODE_SIZE * 0.8;
  else return ni + 1000 >= NODE_SIZE;
 }
 // f(x) += c
 void add_const(D c) { y+= c; }
 // f(x) += ax, /
 void add_linear(T a) { rem+= a; }
 //  f(x) += max(a(x-x0),b(x-x0)), (a < b)
 void add_max(T a, T b, T x0) {
  assert(lt(a, b));
  if (bf[0] && x0 <= bx[0]) y-= D(b) * x0, rem+= b;
  else if (bf[1] && bx[1] <= x0) y-= D(a) * x0, rem+= a;
  else if (T c= b - a; mn) {
   if (lt(n[mn].x, x0)) lr[1]= insert(lr[1], x0, c), y-= D(a) * x0, rem+= a;
   else if (lt(x0, n[mn].x)) lr[0]= insert(lr[0], x0, c), y-= D(b) * x0, rem+= b;
   else {
    if constexpr (persistent) mn= create(n[mn].d, n[mn].x);
    n[mn].d+= c, o[1]+= c, y-= D(a) * x0, rem+= a;
   }
  } else mn= create(c, x0), y-= D(a) * x0, rem+= a, o[0]= 0, o[1]= c;
 }
 // f(x) +=  max(0, a(x-x0))
 void add_ramp(T a, T x0) {
  if (lt(0, a)) add_max(0, a, x0);
  else if (lt(a, 0)) add_max(a, 0, x0);
 }
 // f(x) += a|x-x0|, \/
 void add_abs(T a, T x0) {
  if (assert(!lt(a, 0)); lt(0, a)) add_max(-a, a, x0);
 }
 // right=false : f(x) +=  inf  (x < x_0), right=true: f(x) += inf  (x_0 < x)
 void add_inf(bool right= false, T x0= 0) { return right ? add_inf<1>(x0) : add_inf<0>(x0); }
 // f(x) <- f(x-x0)
 void shift(T x0) {
  if (bx[0]+= x0, bx[1]+= x0, y-= D(rem) * x0; mn) prop(x0), prop(lr[0], x0), prop(lr[1], x0);
 }
 // rev=false: f(x) <- min_{y<=x} f(y), rev=true : f(x) <- min_{x<=y} f(y)
 void chmin_cum(bool rev= false) {
  if (bf[0] && bf[1] && !lt(bx[0], bx[1])) y+= D(rem) * bx[0], rem= 0;
  else if (bool r= lt(rem, 0); r || lt(0, rem)) {
   T u= (r ? -rem : rem) - o[r] - n[lr[r]].a;
   if (!lt(u, 0)) {
    if (r ^ rev) {
     if (lt(0, u) && bf[r]) {
      D q= n[lr[r]].s + D(n[mn].x) * o[r] + D(u) * bx[r];
      if (r ? y-= q : y+= q; mn) lr[!r]= join(lr[0], mn, lr[1]);
      o[!r]= u, rem= 0, mn= create(u, bx[r]), lr[!rev]= 0, o[!rev]= 0;
     }
    } else {
     assert(bf[r]);
     D q= n[lr[r]].s + D(n[mn].x) * o[r] + D(u) * bx[r];
     (r ? y-= q : y+= q), rem= 0, mn= lr[0]= lr[1]= 0, o[0]= o[1]= 0;
    }
    bf[!rev]= false;
    return;
   }
   if ((r ^ rev)) r ? slope_eval_cum<0, 1>() : slope_eval_cum<0, 0>();
   else r ? slope_eval_cum<1, 1>() : slope_eval_cum<1, 0>();
   if constexpr (persistent) mn= create(o[rev], n[mn].x);
   else n[mn].d= o[rev];
  } else if (mn) {
   if (!lt(0, o[rev])) {
    if (lr[rev]) std::tie(lr[rev], mn)= rev ? pop<0>(lr[rev]) : pop<1>(lr[rev]), o[rev]= n[mn].d;
    else mn= 0;
   } else {
    if constexpr (persistent) mn= create(o[rev], n[mn].x);
    else n[mn].d= o[rev];
   }
  }
  bf[!rev]= false, lr[!rev]= 0, o[!rev]= 0;
 }
 //  f(x) <- min_{lb<=y<=ub} f(x-y). (lb <= ub), \_/ -> \__/
 void chmin_slide_win(T lb, T ub) {
  assert(lb <= ub);
  if (bf[0] && bf[1] && !lt(bx[0], bx[1])) y+= D(rem) * bx[0], rem= 0;
  else {
   if (bool r= lt(rem, 0); r || lt(0, rem)) {
    T u= (r ? -rem : rem) - o[r] - n[lr[r]].a;
    if (lt(0, u)) {
     T b[2]= {lb, ub};
     if (bf[r]) {
      D q= n[lr[r]].s + D(n[mn].x) * o[r] + D(u) * bx[r];
      if (r ? y-= q : y+= q; mn) lr[!r]= join(lr[0], mn, lr[1]), prop<0>(lr[!r], b[!r]);
      lr[r]= 0, rem= 0, o[!r]= u, o[r]= 0, mn= create(u, bx[r] + b[!r]);
     } else {
      y-= D(rem) * b[!r];
      if (mn) prop(b[!r]), prop(lr[0], b[!r]), prop(lr[1], b[!r]);
     }
     bx[0]+= lb, bx[1]+= ub;
     return;
    }
    slope_eval(r);
   }
   if (mn) {
    if (!lt(0, o[0])) prop(ub);
    else if (!lt(0, o[1])) prop(lb);
    else lr[1]= join<0>(0, create(o[1], n[mn].x), lr[1]), prop(lb), n[mn].d= o[0], o[1]= 0;
    prop(lr[0], lb), prop(lr[1], ub);
   }
  }
  bx[0]+= lb, bx[1]+= ub;
 }
 std::optional<D> operator()(T x) {
  if (bf[0] && x < bx[0]) return std::nullopt;
  if (bf[1] && bx[1] < x) return std::nullopt;
  return calc_y(x) + D(rem) * x + y;
 }
 std::optional<D> min() {
  bool r= lt(rem, 0);
  if (!r && !lt(0, rem)) return y;
  T u= (r ? -rem : rem) - o[r] - n[lr[r]].a;
  if (lt(0, u)) {
   if (!bf[r]) return std::nullopt;
   D q= n[lr[r]].s + D(n[mn].x) * o[r] + D(u) * bx[r];
   return r ? y - q : y + q;
  }
  return slope_eval(r), y;
 }
 std::array<T, 2> argmin() {
  if (bool r= lt(rem, 0); r || lt(0, rem)) {
   if (lt(o[r] + n[lr[r]].a, (r ? -rem : rem))) {
    if (!bf[r]) return {1, 0};  // no solution
    return {bx[r], bx[r]};
   }
   slope_eval(r);
  }
  std::array<T, 2> ret= {bx[0], bx[1]};
  int t= mn;
  if (!t) return ret;
  bool r= lt(0, o[0]);
  if (r && lt(0, o[1])) ret[0]= ret[1]= n[t].x;
  else if (ret[!r]= n[t].x, t= lr[r]; t) {
   for (; push(t), n[t].ch[!r];) t= n[t].ch[!r];
   ret[r]= n[t].x;
  } else if (!bf[r]) return {1, 0};  // no solution
  return ret;
 }
 size_t size() { return n[lr[0]].sz + n[lr[1]].sz + !!mn; }
 PiecewiseLinearConvex &operator+=(const PiecewiseLinearConvex &g) { return *this= *this + g; }
 PiecewiseLinearConvex operator+(PiecewiseLinearConvex g) const {
  PiecewiseLinearConvex ret= *this;
  if (g.bf[0]) ret.add_inf(false, g.bx[0]);
  if (g.bf[1]) ret.add_inf(true, g.bx[1]);
  if (bf[0]) g.add_inf(false, bx[0]);
  if (bf[1]) g.add_inf(true, bx[1]);
  ret.y+= g.y, ret.rem+= g.rem;
  if (!g.mn) return ret;
  if (!ret.mn) return ret.mn= g.mn, ret.lr[0]= g.lr[0], ret.lr[1]= g.lr[1], ret.o[0]= g.o[0], ret.o[1]= g.o[1], ret;
  ret.y+= n[ret.lr[0]].s + D(n[ret.mn].x) * ret.o[0] + n[g.lr[0]].s + D(n[g.mn].x) * g.o[0], ret.rem-= ret.o[0] + n[ret.lr[0]].a + g.o[0] + n[g.lr[0]].a;
  int t= unite(join(ret.lr[0], ret.mn, ret.lr[1]), join(g.lr[0], g.mn, g.lr[1]));
  return std::tie(ret.lr[1], ret.mn)= pop<0>(t), ret.lr[0]= 0, ret.o[0]= 0, ret.o[1]= n[ret.mn].d, ret;
 }
 std::vector<T> dump_xs() {
  std::vector<T> xs;
  if (bf[0]) xs.push_back(bx[0]);
  dump_xs(lr[0], xs);
  if (mn) xs.push_back(n[mn].x);
  dump_xs(lr[1], xs);
  if (bf[1]) xs.push_back(bx[1]);
  return xs;
 }
 std::vector<std::pair<T, D>> dump_xys() {
  auto xs= dump_xs();
  std::vector<std::pair<T, D>> xys(xs.size());
  for (int i= xs.size(); i--;) xys[i]= {xs[i], operator()(xs[i])};
  return xys;
 }
 std::vector<T> dump_slopes() {
  std::vector<T> as;
  if (mn) as.push_back(-o[0]), dump_slopes_l(lr[0], o[0], as), std::reverse(as.begin(), as.end()), as.push_back(o[1]), dump_slopes_r(lr[1], o[1], as);
  else as.push_back(0);
  for (auto &a: as) a+= rem;
  return as;
 }
};
using namespace std;
signed main() {
 cin.tie(0);
 ios::sync_with_stdio(0);
 int N;
 cin >> N;
 PiecewiseLinearConvex<long long> f;
 f.add_inf(true);
 for (int i= 0; i < N; ++i) {
  int a, b;
  cin >> a >> b;
  f.chmin_cum(true);
  f.shift(a - b);
  f.add_abs(1, 0);
 }
 cout << f(0).value() << '\n';
 return 0;
}

Subtask #1
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 57692 KB Output is correct
2 Correct 13 ms 57692 KB Output is correct
3 Correct 18 ms 57720 KB Output is correct
4 Correct 34 ms 58204 KB Output is correct
5 Correct 45 ms 58532 KB Output is correct
6 Correct 97 ms 61268 KB Output is correct
7 Correct 138 ms 64596 KB Output is correct
8 Correct 329 ms 62800 KB Output is correct
9 Correct 144 ms 62036 KB Output is correct
10 Correct 50 ms 59692 KB Output is correct
11 Correct 91 ms 59732 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 57692 KB Output is correct
2 Correct 13 ms 57692 KB Output is correct
3 Correct 18 ms 57720 KB Output is correct
4 Correct 34 ms 58204 KB Output is correct
5 Correct 45 ms 58532 KB Output is correct
6 Correct 97 ms 61268 KB Output is correct
7 Correct 138 ms 64596 KB Output is correct
8 Correct 329 ms 62800 KB Output is correct
9 Correct 144 ms 62036 KB Output is correct
10 Correct 50 ms 59692 KB Output is correct
11 Correct 91 ms 59732 KB Output is correct
12 Correct 55 ms 59468 KB Output is correct
13 Correct 134 ms 61872 KB Output is correct
14 Correct 94 ms 64596 KB Output is correct
15 Correct 354 ms 62548 KB Output is correct
16 Correct 252 ms 62032 KB Output is correct
17 Correct 45 ms 59780 KB Output is correct
18 Correct 9 ms 57936 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 57692 KB Output is correct
2 Correct 13 ms 57692 KB Output is correct
3 Correct 9 ms 57936 KB Output is correct
4 Correct 8 ms 57884 KB Output is correct
5 Correct 8 ms 57692 KB Output is correct
6 Correct 8 ms 57948 KB Output is correct
7 Correct 9 ms 57836 KB Output is correct
8 Correct 9 ms 57740 KB Output is correct
9 Correct 10 ms 57692 KB Output is correct
10 Correct 10 ms 57780 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 57692 KB Output is correct
2 Correct 13 ms 57692 KB Output is correct
3 Correct 18 ms 57720 KB Output is correct
4 Correct 8 ms 57884 KB Output is correct
5 Correct 8 ms 57692 KB Output is correct
6 Correct 8 ms 57948 KB Output is correct
7 Correct 9 ms 57836 KB Output is correct
8 Correct 9 ms 57740 KB Output is correct
9 Correct 10 ms 57692 KB Output is correct
10 Correct 10 ms 57780 KB Output is correct
11 Correct 9 ms 57936 KB Output is correct
12 Correct 13 ms 57956 KB Output is correct
13 Correct 29 ms 57940 KB Output is correct
14 Correct 9 ms 57944 KB Output is correct
15 Correct 11 ms 57948 KB Output is correct
16 Correct 13 ms 57968 KB Output is correct
17 Correct 9 ms 57692 KB Output is correct
18 Correct 26 ms 57976 KB Output is correct

Subtask #5
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 57692 KB Output is correct
2 Correct 13 ms 57692 KB Output is correct
3 Correct 18 ms 57720 KB Output is correct
4 Correct 8 ms 57884 KB Output is correct
5 Correct 8 ms 57692 KB Output is correct
6 Correct 8 ms 57948 KB Output is correct
7 Correct 9 ms 57836 KB Output is correct
8 Correct 9 ms 57740 KB Output is correct
9 Correct 10 ms 57692 KB Output is correct
10 Correct 10 ms 57780 KB Output is correct
11 Correct 34 ms 58204 KB Output is correct
12 Correct 45 ms 58532 KB Output is correct
13 Correct 97 ms 61268 KB Output is correct
14 Correct 138 ms 64596 KB Output is correct
15 Correct 329 ms 62800 KB Output is correct
16 Correct 144 ms 62036 KB Output is correct
17 Correct 50 ms 59692 KB Output is correct
18 Correct 91 ms 59732 KB Output is correct
19 Correct 55 ms 59468 KB Output is correct
20 Correct 134 ms 61872 KB Output is correct
21 Correct 94 ms 64596 KB Output is correct
22 Correct 354 ms 62548 KB Output is correct
23 Correct 252 ms 62032 KB Output is correct
24 Correct 45 ms 59780 KB Output is correct
25 Correct 13 ms 57956 KB Output is correct
26 Correct 29 ms 57940 KB Output is correct
27 Correct 9 ms 57944 KB Output is correct
28 Correct 11 ms 57948 KB Output is correct
29 Correct 13 ms 57968 KB Output is correct
30 Correct 9 ms 57692 KB Output is correct
31 Correct 26 ms 57976 KB Output is correct
32 Correct 9 ms 57936 KB Output is correct
33 Correct 78 ms 59440 KB Output is correct
34 Correct 171 ms 61964 KB Output is correct
35 Correct 285 ms 64596 KB Output is correct
36 Correct 286 ms 62256 KB Output is correct
37 Correct 355 ms 62624 KB Output is correct
38 Correct 291 ms 64552 KB Output is correct
39 Correct 184 ms 60752 KB Output is correct
40 Correct 260 ms 60500 KB Output is correct
41 Correct 49 ms 59812 KB Output is correct
42 Correct 48 ms 59732 KB Output is correct
43 Correct 51 ms 59736 KB Output is correct
44 Correct 77 ms 59808 KB Output is correct
45 Correct 265 ms 64548 KB Output is correct
46 Correct 106 ms 59988 KB Output is correct
47 Correct 218 ms 60496 KB Output is correct