結果

問題 No.2697 Range LIS Query
ユーザー ei1333333ei1333333
提出日時 2024-03-22 23:01:25
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 593 ms / 10,000 ms
コード長 10,148 bytes
コンパイル時間 5,361 ms
コンパイル使用メモリ 275,028 KB
実行使用メモリ 28,784 KB
最終ジャッジ日時 2024-03-22 23:01:39
合計ジャッジ時間 11,930 ms
ジャッジサーバーID
（参考情報） 		judge12 / judge13
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
6,676 KB
testcase_01 AC 1 ms
6,676 KB
testcase_02 AC 2 ms
6,676 KB
testcase_03 AC 15 ms
6,676 KB
testcase_04 AC 15 ms
6,676 KB
testcase_05 AC 15 ms
6,676 KB
testcase_06 AC 540 ms
28,784 KB
testcase_07 AC 566 ms
28,784 KB
testcase_08 AC 543 ms
28,784 KB
testcase_09 AC 431 ms
28,784 KB
testcase_10 AC 402 ms
28,784 KB
testcase_11 AC 412 ms
28,784 KB
testcase_12 AC 331 ms
27,912 KB
testcase_13 AC 350 ms
26,504 KB
testcase_14 AC 479 ms
26,680 KB
testcase_15 AC 593 ms
28,784 KB
testcase_16 AC 564 ms
28,784 KB
testcase_17 AC 591 ms
28,784 KB
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<bits/stdc++.h>
#include<atcoder/all>

using namespace std;

using int64 = long long;

const int64 infll = (1LL << 62) - 1;
const int inf = (1 << 30) - 1;

struct IoSetup {
  IoSetup() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(10);
    cerr << fixed << setprecision(10);
  }
} iosetup;

template< typename T1, typename T2 >
ostream &operator<<(ostream &os, const pair< T1, T2 >& p) {
  os << p.first << " " << p.second;
  return os;
}

template< typename T1, typename T2 >
istream &operator>>(istream &is, pair< T1, T2 > &p) {
  is >> p.first >> p.second;
  return is;
}

template< typename T >
ostream &operator<<(ostream &os, const vector< T > &v) {
  for(int i = 0; i < (int) v.size(); i++) {
    os << v[i] << (i + 1 != v.size() ? " " : "");
  }
  return os;
}

template< typename T >
istream &operator>>(istream &is, vector< T > &v) {
  for(T &in : v) is >> in;
  return is;
}

template< typename T1, typename T2 >
inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); }

template< typename T1, typename T2 >
inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); }

template< typename T = int64 >
vector< T > make_v(size_t a) {
  return vector< T >(a);
}

template< typename T, typename... Ts >
auto make_v(size_t a, Ts... ts) {
  return vector< decltype(make_v< T >(ts...)) >(a, make_v< T >(ts...));
}

template< typename T, typename V >
typename enable_if< is_class< T >::value == 0 >::type fill_v(T &t, const V &v) {
  t = v;
}

template< typename T, typename V >
typename enable_if< is_class< T >::value != 0 >::type fill_v(T &t, const V &v) {
  for(auto &e : t) fill_v(e, v);
}

template< typename F >
struct FixPoint : F {
  explicit FixPoint(F &&f) : F(forward< F >(f)) {}

  template< typename... Args >
  decltype(auto) operator()(Args &&... args) const {
    return F::operator()(*this, forward< Args >(args)...);
  }
};

template< typename F >
inline decltype(auto) MFP(F &&f) {
  return FixPoint<F>{forward<F>(f)};
}

#line 1 "math/matrix/square-matrix.hpp"
/**
 * @brief Square-Matrix(正方行列)
 */
template< class T, size_t N >
struct SquareMatrix {
  array< array< T, N >, N > A;

  SquareMatrix() : A{{}} {}

  size_t size() const { return N; }

  inline const array< T, N > &operator[](int k) const {
    return (A.at(k));
  }

  inline array< T, N > &operator[](int k) {
    return (A.at(k));
  }

  static SquareMatrix add_identity() {
    return SquareMatrix();
  }

  static SquareMatrix mul_identity() {
    SquareMatrix mat;
    for(size_t i = 0; i < N; i++) mat[i][i] = 1;
    return mat;
  }

  SquareMatrix &operator+=(const SquareMatrix &B) {
    for(size_t i = 0; i < N; i++) {
      for(size_t j = 0; j < N; j++) {
        (*this)[i][j] += B[i][j];
      }
    }
    return *this;
  }

  SquareMatrix &operator-=(const SquareMatrix &B) {
    for(size_t i = 0; i < N; i++) {
      for(size_t j = 0; j < N; j++) {
        (*this)[i][j] -= B[i][j];
      }
    }
    return *this;
  }

  SquareMatrix &operator*=(const SquareMatrix &B) {
    array< array< T, N >, N > C;
    for(size_t i = 0; i < N; i++) {
      for(size_t j = 0; j < N; j++) {
        for(size_t k = 0; k < N; k++) {
          C[i][j] = (C[i][j] + (*this)[i][k] * B[k][j]);
        }
      }
    }
    A.swap(C);
    return (*this);
  }

  SquareMatrix &operator^=(uint64_t k) {
    SquareMatrix B = SquareMatrix::mul_identity();
    while(k > 0) {
      if(k & 1) B *= *this;
      *this *= *this;
      k >>= 1LL;
    }
    A.swap(B.A);
    return *this;
  }

  SquareMatrix operator+(const SquareMatrix &B) const {
    return SquareMatrix(*this) += B;
  }

  SquareMatrix operator-(const SquareMatrix &B) const {
    return SquareMatrix(*this) -= B;
  }

  SquareMatrix operator*(const SquareMatrix &B) const {
    return SquareMatrix(*this) *= B;
  }

  SquareMatrix operator^(uint64_t k) const {
    return SquareMatrix(*this) ^= k;
  }

  friend ostream &operator<<(ostream &os, SquareMatrix &p) {
    for(int i = 0; i < N; i++) {
      os << "[";
      for(int j = 0; j < N; j++) {
        os << p[i][j] << (j + 1 == N ? "]\n" : ",");
      }
    }
    return os;
  }
};

#line 1 "structure/segment-tree/lazy-segment-tree.hpp"
/**
 * @brief Lazy-Segment-Tree(遅延伝搬セグメント木)
 * @docs docs/lazy-segment-tree.md
 */
template< typename T, typename E, typename F, typename G, typename H >
struct LazySegmentTree {
 private:
  int n{}, sz{}, height{};
  vector< T > data;
  vector< E > lazy;
  const F f;
  const G g;
  const H h;
  const T ti;
  const E ei;

  inline void update(int k) {
    data[k] = f(data[2 * k + 0], data[2 * k + 1]);
  }

  inline void all_apply(int k, const E &x) {
    data[k] = g(data[k], x);
    if(k < sz) lazy[k] = h(lazy[k], x);
  }

  inline void propagate(int k) {
    if(lazy[k] != ei) {
      all_apply(2 * k + 0, lazy[k]);
      all_apply(2 * k + 1, lazy[k]);
      lazy[k] = ei;
    }
  }

 public:
  LazySegmentTree() = default;

  explicit LazySegmentTree(int n, const F f, const G g, const H h,
                           const T &ti, const E &ei)
      : n(n), f(f), g(g), h(h), ti(ti), ei(ei) {
    sz = 1;
    height = 0;
    while(sz < n) sz <<= 1, height++;
    data.assign(2 * sz, ti);
    lazy.assign(2 * sz, ei);
  }

  explicit LazySegmentTree(const vector< T > &v, const F f, const G g, const H h,
                           const T &ti, const E &ei)
      : LazySegmentTree(v.size(), f, g, h, ti, ei) {
    build(v);
  }

  void build(const vector< T > &v) {
    assert(n == (int) v.size());
    for(int k = 0; k < n; k++) data[k + sz] = v[k];
    for(int k = sz - 1; k > 0; k--) update(k);
  }

  void set(int k, const T &x) {
    k += sz;
    for(int i = height; i > 0; i--) propagate(k >> i);
    data[k] = x;
    for(int i = 1; i <= height; i++) update(k >> i);
  }

  T get(int k) {
    k += sz;
    for(int i = height; i > 0; i--) propagate(k >> i);
    return data[k];
  }

  T operator[](int k) {
    return get(k);
  }

  T prod(int l, int r) {
    if(l >= r) return ti;
    l += sz;
    r += sz;
    for(int i = height; i > 0; i--) {
      if(((l >> i) << i) != l) propagate(l >> i);
      if(((r >> i) << i) != r) propagate((r - 1) >> i);
    }
    T L = ti, R = ti;
    for(; l < r; l >>= 1, r >>= 1) {
      if(l & 1) L = f(L, data[l++]);
      if(r & 1) R = f(data[--r], R);
    }
    return f(L, R);
  }

  T all_prod() const {
    return data[1];
  }

  void apply(int k, const E &x) {
    k += sz;
    for(int i = height; i > 0; i--) propagate(k >> i);
    data[k] = g(data[k], x);
    for(int i = 1; i <= height; i++) update(k >> i);
  }

  void apply(int l, int r, const E &x) {
    if(l >= r) return;
    l += sz;
    r += sz;
    for(int i = height; i > 0; i--) {
      if(((l >> i) << i) != l) propagate(l >> i);
      if(((r >> i) << i) != r) propagate((r - 1) >> i);
    }
    {
      int l2 = l, r2 = r;
      for(; l < r; l >>= 1, r >>= 1) {
        if(l & 1) all_apply(l++, x);
        if(r & 1) all_apply(--r, x);
      }
      l = l2, r = r2;
    }
    for(int i = 1; i <= height; i++) {
      if(((l >> i) << i) != l) update(l >> i);
      if(((r >> i) << i) != r) update((r - 1) >> i);
    }
  }

  template< typename C >
  int find_first(int l, const C &check) {
    if(l >= n) return n;
    l += sz;
    for(int i = height; i > 0; i--) propagate(l >> i);
    T sum = ti;
    do {
      while((l & 1) == 0) l >>= 1;
      if(check(f(sum, data[l]))) {
        while(l < sz) {
          propagate(l);
          l <<= 1;
          auto nxt = f(sum, data[l]);
          if(not check(nxt)) {
            sum = nxt;
            l++;
          }
        }
        return l + 1 - sz;
      }
      sum = f(sum, data[l++]);
    } while((l & -l) != l);
    return n;
  }

  template< typename C >
  int find_last(int r, const C &check) {
    if(r <= 0) return -1;
    r += sz;
    for(int i = height; i > 0; i--) propagate((r - 1) >> i);
    T sum = ti;
    do {
      r--;
      while(r > 1 and (r & 1)) r >>= 1;
      if(check(f(data[r], sum))) {
        while(r < sz) {
          propagate(r);
          r = (r << 1) + 1;
          auto nxt = f(data[r], sum);
          if(not check(nxt)) {
            sum = nxt;
            r--;
          }
        }
        return r - sz;
      }
      sum = f(data[r], sum);
    } while((r & -r) != r);
    return -1;
  }
};

template< typename T, typename E, typename F, typename G, typename H >
LazySegmentTree< T, E, F, G, H > get_lazy_segment_tree
    (int N, const F &f, const G &g, const H &h, const T &ti, const E &ei) {
  return LazySegmentTree{N, f, g, h, ti, ei};
}

template< typename T, typename E, typename F, typename G, typename H >
LazySegmentTree< T, E, F, G, H > get_lazy_segment_tree
    (const vector< T > &v, const F &f, const G &g, const H &h, const T &ti, const E &ei) {
  return LazySegmentTree{v, f, g, h, ti, ei};
}


int main() {
  int N;
  cin >> N;
  vector<int> A(N);
  cin >> A;
  int Q;
  cin >> Q;
  using S = SquareMatrix<int, 4>;
  using pi = pair< S, int >;
  S e;
  auto f = [&](const pi &a, const pi &b) {
    S c = e;
    for (int i = 0; i < 4; i++) {
      for (int j = 0; j < 4; j++) {
        for (int k = 0; k < 4; k++) {
          chmax(c[i][k], a.first[i][j] + b.first[j][k]);
        }
      }
    }
    return pi(c, a.second + b.second);
  };
  auto g = [&](const pi& a, int x) {
    S c = e;
    for(int i = 0; i <= x; i++) {
      chmax(c[i][x], a.second);
    }
    return pi(c, a.second);
  };
  auto h = [](int a, int b) {
    return b;
  };
  for(int i = 0; i < 4; i++) {
    for(int j = 0; j < 4; j++) {
      e[i][j] = -inf;
    }
    for(int j = 0; j <= i; j++) {
      e[i][i] = 0;
    }
  }
  vector< pi > vs(N, pi(e, 1));
  for(int i = 0; i < N; i++) {
    --A[i];
    for(int j = 0; j <= A[i]; j++) {
      chmax(vs[i].first[j][A[i]], 1);
    }
  }
  auto seg = get_lazy_segment_tree(vs, f, g, h, pi(e, 0), -1);
  while(Q--) {
    int t, l, r, x;
    cin >> t >> l >> r;
    --l;
    if(t == 1) {
      auto res = seg.prod(l, r).first[0];
      cout << *max_element(res.begin(), res.end()) << "\n";
    } else {
      cin >> x;
      --x;
      seg.apply(l, r, x);
    }
  }
}
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