結果

問題 No.1919 Many Monster Battles
コンテスト
ユーザー hos.lyric
提出日時 2022-04-29 22:05:05
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
TLE  
実行時間 -
コード長 6,209 bytes
コンパイル時間 1,698 ms
コンパイル使用メモリ 122,628 KB
実行使用メモリ 67,796 KB
最終ジャッジ日時 2024-06-29 03:34:06
合計ジャッジ時間 34,825 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge4
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 14 WA * 6 TLE * 11 -- * 1
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

using namespace std;

using Int = long long;

template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }

////////////////////////////////////////////////////////////////////////////////
template <unsigned M_> struct ModInt {
  static constexpr unsigned M = M_;
  unsigned x;
  constexpr ModInt() : x(0U) {}
  constexpr ModInt(unsigned x_) : x(x_ % M) {}
  constexpr ModInt(unsigned long long x_) : x(x_ % M) {}
  constexpr ModInt(int x_) : x(((x_ %= static_cast<int>(M)) < 0) ? (x_ + static_cast<int>(M)) : x_) {}
  constexpr ModInt(long long x_) : x(((x_ %= static_cast<long long>(M)) < 0) ? (x_ + static_cast<long long>(M)) : x_) {}
  ModInt &operator+=(const ModInt &a) { x = ((x += a.x) >= M) ? (x - M) : x; return *this; }
  ModInt &operator-=(const ModInt &a) { x = ((x -= a.x) >= M) ? (x + M) : x; return *this; }
  ModInt &operator*=(const ModInt &a) { x = (static_cast<unsigned long long>(x) * a.x) % M; return *this; }
  ModInt &operator/=(const ModInt &a) { return (*this *= a.inv()); }
  ModInt pow(long long e) const {
    if (e < 0) return inv().pow(-e);
    ModInt a = *this, b = 1U; for (; e; e >>= 1) { if (e & 1) b *= a; a *= a; } return b;
  }
  ModInt inv() const {
    unsigned a = M, b = x; int y = 0, z = 1;
    for (; b; ) { const unsigned q = a / b; const unsigned c = a - q * b; a = b; b = c; const int w = y - static_cast<int>(q) * z; y = z; z = w; }
    assert(a == 1U); return ModInt(y);
  }
  ModInt operator+() const { return *this; }
  ModInt operator-() const { ModInt a; a.x = x ? (M - x) : 0U; return a; }
  ModInt operator+(const ModInt &a) const { return (ModInt(*this) += a); }
  ModInt operator-(const ModInt &a) const { return (ModInt(*this) -= a); }
  ModInt operator*(const ModInt &a) const { return (ModInt(*this) *= a); }
  ModInt operator/(const ModInt &a) const { return (ModInt(*this) /= a); }
  template <class T> friend ModInt operator+(T a, const ModInt &b) { return (ModInt(a) += b); }
  template <class T> friend ModInt operator-(T a, const ModInt &b) { return (ModInt(a) -= b); }
  template <class T> friend ModInt operator*(T a, const ModInt &b) { return (ModInt(a) *= b); }
  template <class T> friend ModInt operator/(T a, const ModInt &b) { return (ModInt(a) /= b); }
  explicit operator bool() const { return x; }
  bool operator==(const ModInt &a) const { return (x == a.x); }
  bool operator!=(const ModInt &a) const { return (x != a.x); }
  friend std::ostream &operator<<(std::ostream &os, const ModInt &a) { return os << a.x; }
};
////////////////////////////////////////////////////////////////////////////////

constexpr unsigned MO = 1'000'000'007;
using Mint = ModInt<MO>;


int N;
vector<pair<Int, Int>> P;

Mint solve() {
  sort(P.begin(), P.end());
// cerr<<"P = ";pv(P.begin(),P.end());
  
  vector<Int> xs(N);
  for (int i = 0; i < N; ++i) {
    const Int x = P[i].first - P[i].second;
    xs[i] = x;
  }
  sort(xs.begin(), xs.end());
  xs.erase(unique(xs.begin(), xs.end()), xs.end());
  const int xsLen = xs.size();
// cerr<<"  xs = ";pv(xs.begin(),xs.end());
  
  vector<vector<Int>> yss(xsLen);
  for (int i = 0; i < N; ++i) {
    const Int x = P[i].first - P[i].second;
    const Int y = P[i].first + P[i].second;
    const int posX = lower_bound(xs.begin(), xs.end(), x) - xs.begin();
    for (int e = posX; e < xsLen; e |= e + 1) {
      yss[e].push_back(y);
    }
  }
  vector<vector<Mint>> bit1(xsLen), bitA(xsLen);
  for (int e = 0; e < xsLen; ++e) {
    auto &ys = yss[e];
    sort(ys.begin(), ys.end());
    ys.erase(unique(ys.begin(), ys.end()), ys.end());
    const int ysLen = ys.size();
    bit1[e].assign(ysLen, 0);
    bitA[e].assign(ysLen, 0);
  }
  
  Mint ans = 0;
  for (int i = 0, j; i < N; ++i) {
    for (j = i; j < N && P[i].first == P[j].first; ++j) {}
    for (int k = i; k < j; ++k) {
      const Int x = P[k].first - P[k].second;
      const Int y = P[k].first + P[k].second;
// cerr<<"  get "<<k<<"; "<<x<<" "<<y<<endl;
      const int posX = lower_bound(xs.begin(), xs.end(), x) - xs.begin();
      Mint sum1 = 0, sumA = 0;
      for (int e = posX - 1; e >= 0; e = (e & (e + 1)) - 1) {
        auto &ys = yss[e];
        const int posY = lower_bound(ys.begin(), ys.end(), y) - ys.begin();
        for (int f = posY - 1; f >= 0; f = (f & (f + 1)) - 1) {
          sum1 += bit1[e][f];
          sumA += bitA[e][f];
        }
      }
      ans += (sum1 * P[k].first - sumA);
    }
    for (int k = i; k < j; ++k) {
      const Int x = P[k].first - P[k].second;
      const Int y = P[k].first + P[k].second;
// cerr<<"  add "<<k<<"; "<<x<<" "<<y<<endl;
      const int posX = lower_bound(xs.begin(), xs.end(), x) - xs.begin();
      for (int e = posX; e < xsLen; e |= e + 1) {
        auto &ys = yss[e];
        const int posY = lower_bound(ys.begin(), ys.end(), y) - ys.begin();
        for (int f = posY; f < (int)ys.size(); f |= f + 1) {
          bit1[e][f] += 1;
          bitA[e][f] += P[k].first;
        }
      }
    }
  }
  ans *= 2;
  return ans;
}

int main() {
  for (; ~scanf("%d", &N); ) {
    P.resize(N);
    for (int i = 0; i < N; ++i) scanf("%lld", &P[i].first);
    for (int i = 0; i < N; ++i) scanf("%lld", &P[i].second);
    
    const Mint ansA = solve();
    for (int i = 0; i < N; ++i) swap(P[i].first, P[i].second);
    const Mint ansB = solve();
    for (int i = 0; i < N; ++i) swap(P[i].first, P[i].second);
    
    printf("%u %u\n", ansA.x, ansB.x);
  }
  return 0;
}
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