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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#116573#4887. Fast Bridgeshos_lyricRE 2ms10672kbC++147.4kb2023-06-29 15:27:252023-06-29 15:27:28

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-06-29 15:27:28]
  • 评测
  • 测评结果:RE
  • 用时:2ms
  • 内存:10672kb
  • [2023-06-29 15:27:25]
  • 提交

answer

#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 <limits>
#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> ostream &operator<<(ostream &os, const vector<T> &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; }
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 = 998244353;
using Mint = ModInt<MO>;


int N;
Int K;
vector<Int> X0, Y0, X1, Y1;

int dp[510][510];
int DP[510][510];
vector<int> vsss[510][510];

struct Stair {
  Int x, y;
  Int area;
  void init() {
    x = K + 1;
    y = 0;
    area = 0;
  }
  void add(Int xx, Int yy) {
    assert(x >= xx);
    area += (x - xx) * y;
    x = xx;
    chmax(y, yy);
  }
  Int get() {
    add(0, 0);
    return area;
  }
};
Stair stairs[510];

int main() {
  for (; ~scanf("%d%lld", &N, &K); ) {
    X0.resize(N);
    Y0.resize(N);
    X1.resize(N);
    Y1.resize(N);
    for (int i = 0; i < N; ++i) {
      scanf("%lld%lld%lld%lld", &X0[i], &Y0[i], &X1[i], &Y1[i]);
    }
    
    vector<int> iss[2];
    for (int i = 0; i < N; ++i) {
      if (X0[i] > X1[i]) {
        swap(X0[i], X1[i]);
        swap(Y0[i], Y1[i]);
      }
      if (Y0[i] < Y1[i]) {
        iss[0].push_back(i);
      } else {
        Y0[i] = K + 1 - Y0[i];
        Y1[i] = K + 1 - Y1[i];
        iss[1].push_back(i);
      }
    }
    
    Mint ans = 0;
    for (int dir = 0; dir < 2; ++dir) {
      auto &is = iss[dir];
      const int isLen = is.size();
      sort(is.begin(), is.end(), [&](int i, int j) -> bool {
        return ((X0[i] != X0[j]) ? (X0[i] < X0[j]) : (Y0[i] < Y1[j]));
      });
// cerr<<"is = "<<is<<endl;
      // from fast to fast
      for (int u = 0; u < isLen; ++u) {
        fill(dp[u], dp[u] + isLen, 0);
        dp[u][u] = 1;
      }
      for (int u = 0; u < isLen; ++u) {
        for (int v = u; v < isLen; ++v) for (int w = v + 1; w < isLen; ++w) {
          if (X1[is[v]] <= X0[is[w]] && Y1[is[v]] <= Y0[is[w]]) {
            chmax(dp[u][w], dp[u][v] + 1);
          }
        }
      }
      // to (x, y) from fast
      vector<Int> xs{1, K + 1}, ys{1, K + 1};
      for (int u = 0; u < isLen; ++u) {
        xs.push_back(X0[is[u]]); ys.push_back(Y0[is[u]]);
        xs.push_back(X1[is[u]]); ys.push_back(Y1[is[u]]);
      }
      sort(xs.begin(), xs.end());
      sort(ys.begin(), ys.end());
      xs.erase(unique(xs.begin(), xs.end()), xs.end());
      ys.erase(unique(ys.begin(), ys.end()), ys.end());
      const int xsLen = xs.size();
      const int ysLen = ys.size();
      for (int e = 0; e < xsLen; ++e) for (int f = 0; f < ysLen; ++f) {
        vsss[e][f].clear();
      }
      for (int v = 0; v < isLen; ++v) {
        const int e = lower_bound(xs.begin(), xs.end(), X1[is[v]]) - xs.begin();
        const int f = lower_bound(ys.begin(), ys.end(), Y1[is[v]]) - ys.begin();
        vsss[e][f].push_back(v);
      }
      for (int f = 0; f < ysLen; ++f) {
        fill(DP[f], DP[f] + isLen, 0);
      }
      for (int e = 0; e < xsLen - 1; ++e) {
        for (int f = 0; f < ysLen - 1; ++f) {
          for (int u = 0; u < isLen; ++u) {
            for (const int v : vsss[e][f]) {
              chmax(DP[f][u], dp[u][v]);
            }
          }
        }
        for (int f = 1; f < ysLen - 1; ++f) {
          for (int u = 0; u < isLen; ++u) {
            chmax(DP[f][u], DP[f - 1][u]);
          }
        }
        for (int f = 0; f < ysLen - 1; ++f) {
          for (int k = 0; k <= isLen; ++k) {
            stairs[k].init();
          }
          for (int u = isLen; --u >= 0; ) {
            stairs[DP[f][u]].add(X0[is[u]], Y0[is[u]]);
          }
          Int score = 0;
          for (int k = 1; k <= isLen; ++k) {
            score += stairs[k].get();
          }
// cerr<<"["<<xs[e]<<","<<xs[e+1]<<") ["<<ys[f]<<","<<ys[f+1]<<"): "<<score<<"; DP[f] = ";pv(DP[f],DP[f]+isLen);
          ans += Mint(xs[e + 1] - xs[e]) * Mint(ys[f + 1] - ys[f]) * Mint(score);
        }
      }
    }
    
    ans = 2 * Mint(K+1) * Mint(K) * Mint(K-1) / 6 * Mint(K) * Mint(K) - ans;
    printf("%u\n", ans.x);
  }
  return 0;
}

Details

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Test #1:

score: 100
Accepted
time: 1ms
memory: 10272kb

input:

2 2
1 1 2 2
1 2 2 1

output:

6

result:

ok answer is '6'

Test #2:

score: 0
Accepted
time: 1ms
memory: 10672kb

input:

0 1000000000

output:

916520226

result:

ok answer is '916520226'

Test #3:

score: 0
Accepted
time: 2ms
memory: 9928kb

input:

5 5
1 1 3 3
3 3 5 1
3 3 4 5
3 3 5 4
1 5 3 3

output:

946

result:

ok answer is '946'

Test #4:

score: -100
Runtime Error

input:

200 5
1 1 4 2
2 5 4 4
2 3 4 2
2 4 3 5
1 4 4 2
2 5 4 2
1 2 4 4
1 2 2 4
1 4 5 1
3 4 5 1
4 2 5 1
2 2 5 4
3 2 5 1
3 1 5 2
4 2 5 3
1 3 5 1
3 4 4 5
2 2 4 3
2 3 5 4
1 4 5 3
2 2 3 1
2 5 3 3
1 1 5 3
4 4 5 5
1 3 4 4
4 3 5 1
2 3 3 4
3 4 4 2
1 4 4 5
2 1 4 4
1 3 5 2
1 1 3 3
1 5 3 1
1 1 3 5
1 4 3 5
4 5 5 4
1 1 4 ...

output:


result: