#538826 (C++17) No.1188 レベルX門松列

提出ソース
結果

問題	No.1188 レベルX門松列
ユーザー	mai
提出日時	2020-08-23 00:00:23
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	432 ms / 2,000 ms
コード長	14,734 bytes
コンパイル時間	3,471 ms
コンパイル使用メモリ	240,372 KB
実行使用メモリ	13,228 KB
最終ジャッジ日時	2024-10-15 12:28:20
合計ジャッジ時間	7,666 ms
ジャッジサーバーID （参考情報）	judge3 / judge2
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	120 ms 8,540 KB
testcase_01	AC	279 ms 10,560 KB
testcase_02	AC	243 ms 10,164 KB
testcase_03	AC	340 ms 11,152 KB
testcase_04	AC	240 ms 13,228 KB
testcase_05	AC	2 ms 5,248 KB
testcase_06	AC	104 ms 8,488 KB
testcase_07	AC	201 ms 10,880 KB
testcase_08	AC	208 ms 10,852 KB
testcase_09	AC	2 ms 5,248 KB
testcase_10	AC	2 ms 5,248 KB
testcase_11	AC	19 ms 5,248 KB
testcase_12	AC	21 ms 5,248 KB
testcase_13	AC	23 ms 5,248 KB
testcase_14	AC	210 ms 9,000 KB
testcase_15	AC	432 ms 13,224 KB
testcase_16	AC	4 ms 5,248 KB
testcase_17	AC	326 ms 11,768 KB
testcase_18	AC	2 ms 6,816 KB
testcase_19	AC	286 ms 11,364 KB
testcase_20	AC	2 ms 6,820 KB
testcase_21	AC	2 ms 6,816 KB
testcase_22	AC	2 ms 6,820 KB
testcase_23	AC	2 ms 6,816 KB
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ソースコード

raw source code
#pragma GCC optimize ("O3")
#include "bits/stdc++.h"

using namespace std;
using ll = long long int;

#define all(v) (v).begin(),(v).end()
#define repeat(cnt,l) for(typename remove_const<typename remove_reference<decltype(l)>::type>::type cnt={};(cnt)<(l);++(cnt))
#define rrepeat(cnt,l) for(auto cnt=(l)-1;0<=(cnt);--(cnt))
#define iterate(cnt,b,e) for(auto cnt=(b);(cnt)!=(e);++(cnt))
#define diterate(cnt,b,e) for(auto cnt=(b);(cnt)!=(e);--(cnt))
const long long MD = 1000000007ll; const long double PI = 3.1415926535897932384626433832795L;
template<typename T1, typename T2> inline ostream& operator <<(ostream &o, const pair<T1, T2> p) { o << '(' << p.first << ':' << p.second << ')'; return o; }
template<typename T> inline T& chmax(T& to, const T& val) { return to = max(to, val); }
template<typename T> inline T& chmin(T& to, const T& val) { return to = min(to, val); }
void bye(string s, int code = 0) { cout << s << endl; exit(code); }
mt19937_64 randdev(8901016);
template<typename T, typename Random = decltype(randdev), typename enable_if<is_integral<T>::value>::type* = nullptr>
inline T rand(T l, T h, Random& rand = randdev) { return uniform_int_distribution<T>(l, h)(rand); }
template<typename T, typename Random = decltype(randdev), typename enable_if<is_floating_point<T>::value>::type* = nullptr>
inline T rand(T l, T h, Random& rand = randdev) { return uniform_real_distribution<T>(l, h)(rand); }

template <typename I>
struct MyRangeFormat{ I b,e; MyRangeFormat(I _b, I _e):b(_b),e(_e){} };
template<typename I>
static ostream& operator<<(ostream& o, const MyRangeFormat<I>& f) {
  o << "[ "; iterate(i,f.b,f.e) o<<*i<<' ';
  return o << ']';
}
template <typename I>
struct MyMatrixFormat{
  const I& p; long long n, m;
  MyMatrixFormat(const I& _p, long long _n, long long _m):p(_p),n(_n),m(_m){}
};
template<typename I>
static ostream& operator<<(ostream& o, const MyMatrixFormat<I>& f) {
  o<<'\n';
  repeat(i,(f.n)) {
    repeat(j,f.m) o<<f.p[i][j]<<' ';
    o<<'\n';
  }
  return o;
}
struct LOG_t { ~LOG_t() { cout << endl; } };
#define LOG (LOG_t(),cout<<'L'<<__LINE__<<": ")
#define FMTA(m,w) (MyRangeFormat<decltype(m+0)>(m,m+w))
#define FMTR(b,e) (MyRangeFormat<decltype(e)>(b,e))
#define FMTV(v) FMTR(v.begin(),v.end())
#define FMTM(m,h,w) (MyMatrixFormat<decltype(m+0)>(m,h,w))

#if defined(_WIN32) || defined(_WIN64)
#define getc_x _getc_nolock
#define putc_x _putc_nolock
#elif defined(__GNUC__)
#define getc_x getc_unlocked
#define putc_x putc_unlocked
#else
#define getc_x getc
#define putc_x putc
#endif
class MaiScanner {
  FILE* fp_;
  constexpr bool isvisiblechar(char c) noexcept { return (0x21<=(c)&&(c)<=0x7E); }
public:
  inline MaiScanner(FILE* fp):fp_(fp){}
  template<typename T> void input_integer(T& var) noexcept {
    var = 0; T sign = 1;
    int cc = getc_x(fp_);
    for (; cc < '0' || '9' < cc; cc = getc_x(fp_))
      if (cc == '-') sign = -1;
    for (; '0' <= cc && cc <= '9'; cc = getc_x(fp_))
      var = (var << 3) + (var << 1) + cc - '0';
    var = var * sign;
  }
  inline int c() noexcept { return getc_x(fp_); }
  template<typename T, typename enable_if<is_integral<T>::value, nullptr_t>::type = nullptr>
  inline MaiScanner& operator>>(T& var) noexcept { input_integer<T>(var); return *this; }
  inline MaiScanner& operator>>(string& var) {
    int cc = getc_x(fp_);
    for (; !isvisiblechar(cc); cc = getc_x(fp_));
    for (; isvisiblechar(cc); cc = getc_x(fp_))
      var.push_back(cc);
    return *this;
  }
  template<typename IT> inline void in(IT begin, IT end) { for (auto it = begin; it != end; ++it) *this >> *it; }
};
class MaiPrinter {
  FILE* fp_;
public:
  inline MaiPrinter(FILE* fp):fp_(fp){}
  template<typename T>
  void output_integer(T var) noexcept {
    if (var == 0) { putc_x('0', fp_); return; }
    if (var < 0)
      putc_x('-', fp_),
      var = -var;
    char stack[32]; int stack_p = 0;
    while (var)
      stack[stack_p++] = '0' + (var % 10),
      var /= 10;
    while (stack_p)
      putc_x(stack[--stack_p], fp_);
  }
  inline MaiPrinter& operator<<(char c) noexcept { putc_x(c, fp_); return *this; }
  template<typename T, typename enable_if<is_integral<T>::value, nullptr_t>::type = nullptr>
  inline MaiPrinter& operator<<(T var) noexcept { output_integer<T>(var); return *this; }
  inline MaiPrinter& operator<<(char* str_p) noexcept { while (*str_p) putc_x(*(str_p++), fp_); return *this; }
  inline MaiPrinter& operator<<(const string& str) {
    const char* p = str.c_str();
    const char* l = p + str.size();
    while (p < l) putc_x(*p++, fp_);
    return *this;
  }
  template<typename IT> void join(IT begin, IT end, char sep = ' ') { for (bool b = 0; begin != end; ++begin, b = 1) b ? *this << sep << *begin : *this << *begin; }
};
MaiScanner scanner(stdin);
MaiPrinter printer(stdout);

template <typename T>
// using T = ll;
class SegmentTree {
 public:
  struct IdxVal {
    int index;
    T value;
    inline IdxVal(int _i = 0, const T& _v = T()) : index(_i), value(_v) {}
    inline void set(int i, const T& v) {
      index = i;
      value = v;
    }
    inline bool operator<(const T& t) const { return value < t; }
    inline bool operator==(const T& t) const { return value == t; }
    inline bool operator<(const IdxVal& iv) const {
      return value < iv.value || (value == iv.value && index < iv.index);
    }
    inline bool operator==(const IdxVal& iv) const {
      return index == iv.index && value == iv.value;
    }
  };

  enum struct Cmd { None, Add, Flat };

  struct Node {
    T sum, lazyValue;
    IdxVal max;
    Cmd lazyType;
  };

 private:
  const int size_;
  vector<T> leaf_data_;
  vector<Node> node_data_;
  T* leaf_;
  Node* node_;

  void _resize() {
    leaf_data_.resize(size_);
    node_data_.resize(size_ - 1);

    leaf_ = &leaf_data_[0];
    node_ = &node_data_[0] - 1;
  }

  void _init() {
    for (int i = size_ - 1; 0 < i; --i) {
      int c = i << 1;
      if (size_ <= c)
        node_[i].max.set(c - size_, leaf_[c - size_]);
      else
        node_[i].max = node_[c].max;
      node_[i].lazyType = Cmd::None;
      node_[i].sum = node_[i].lazyValue = 0;
    }
  }

 public:
  inline void fill(T val) {
    std::fill(leaf_data_.begin(), leaf_data_.end(), val);
    _init();
  }

  SegmentTree(int _n)
      : size_([](int _n) {
          int s = 8;
          while (s < _n)
            s <<= 1;
          return s;
        }(_n)) {
    _resize();
    _init();
  }
  SegmentTree(int _n, const T& _fillVal)
      : size_([](int _n) {
          int s = 8;
          while (s < _n)
            s <<= 1;
          return s;
        }(_n)) {
    _resize();
    fill(_fillVal);
  }

 private:
  // lazyを適応する(子を呼ぶ前に呼ぶ)
  // width: ptrが担当するnodeの範囲の大きさ(ptr = 1 ならば size_)
  inline void _applyDown(int ptr, int width) {
    width >>= 1;
    // if (size_ <= ptr) return;
    if (node_[ptr].lazyType == Cmd::Add) {
      int c = ptr << 1;

      if (size_ <= c) {
        leaf_[c - size_] += node_[ptr].lazyValue;
        leaf_[c + 1 - size_] += node_[ptr].lazyValue;
      } else {
        node_[c].sum += node_[ptr].lazyValue * width;
        node_[c].max.value += node_[ptr].lazyValue;
        node_[c].lazyValue += node_[ptr].lazyValue;
        if (node_[c].lazyType == Cmd::None)
          node_[c].lazyType = Cmd::Add;

        node_[c + 1].sum += node_[ptr].lazyValue * width;
        node_[c + 1].max.value += node_[ptr].lazyValue;
        node_[c + 1].lazyValue += node_[ptr].lazyValue;
        if (node_[c + 1].lazyType == Cmd::None)
          node_[c + 1].lazyType = Cmd::Add;
      }

      node_[ptr].lazyType = Cmd::None;
      node_[ptr].lazyValue = 0;
    } else if (node_[ptr].lazyType == Cmd::Flat) {
      node_[ptr].lazyType = Cmd::None;
      int c = ptr << 1;

      if (size_ <= c) {
        leaf_[c - size_] = node_[ptr].lazyValue;
        leaf_[c + 1 - size_] = node_[ptr].lazyValue;
      } else {
        node_[c].sum = node_[ptr].lazyValue * width;
        node_[c].max.value = node_[ptr].lazyValue;
        node_[c].lazyValue = node_[ptr].lazyValue;
        node_[c].lazyType = Cmd::Flat;

        node_[c + 1].sum = node_[ptr].lazyValue * width;
        node_[c + 1].max.value = node_[ptr].lazyValue;
        node_[c + 1].lazyValue = node_[ptr].lazyValue;
        node_[c + 1].lazyType = Cmd::Flat;
      }

      node_[ptr].lazyType = Cmd::None;
      node_[ptr].lazyValue = 0;
    }
  }

  // lazyを適応する(子を呼んだ後に呼ぶ)
  inline void _applyUp(int ptr) {
    if (size_ <= ptr << 1) {
      int i = (ptr << 1) - size_;
      if (leaf_[i] < leaf_[i + 1])
        node_[ptr].max.set(i + 1, leaf_[i + 1]);
      else
        node_[ptr].max.set(i, leaf_[i]);
      node_[ptr].sum = leaf_[i] + leaf_[i + 1];
    } else {
      if (node_[(ptr << 1)].max.value < node_[(ptr << 1) + 1].max.value)
        node_[ptr].max = node_[(ptr << 1) + 1].max;
      else
        node_[ptr].max = node_[(ptr << 1)].max;
      node_[ptr].sum = node_[ptr << 1].sum + node_[(ptr << 1) + 1].sum;
    }
  }

  // _downward_applyDown(ptr1): leaf[ptr1]の値を正しくする．
  void _downward_applyDown(int ptr1, int width = 1) {
    if (1 < ptr1)
      _downward_applyDown(ptr1 >> 1, width << 1);
    _applyDown(ptr1, width);
  }

  void _setValueRange(int begin, int end, T val, int ptr, int rangebegin, int rangeend) {
    if (rangeend <= begin || end <= rangebegin)
      return;  // note:範囲外
    if (begin <= rangebegin && rangeend <= end) {
      if (size_ <= ptr) {
        leaf_[rangebegin] = val;
      } else {
        node_[ptr].sum = val * (rangeend - rangebegin);
        node_[ptr].max.value = val;
        node_[ptr].lazyType = Cmd::Flat;
        node_[ptr].lazyValue = val;
      }
      return;
    }

    _applyDown(ptr, rangeend - rangebegin);

    _setValueRange(begin, end, val, ptr << 1, rangebegin, (rangebegin + rangeend) >> 1);
    _setValueRange(begin, end, val, (ptr << 1) + 1, (rangebegin + rangeend) >> 1, rangeend);

    _applyUp(ptr);
  }

  void _addValueRange(int begin, int end, T val, int ptr, int rangebegin, int rangeend) {
    if (rangeend <= begin || end <= rangebegin)
      return;  // note:範囲外
    if (begin <= rangebegin && rangeend <= end) {
      if (size_ <= ptr) {
        leaf_[rangebegin] += val;
      } else {
        node_[ptr].sum += val * (rangeend - rangebegin);
        node_[ptr].max.value += val;
        node_[ptr].lazyValue += val;
        if (node_[ptr].lazyType == Cmd::None)
          node_[ptr].lazyType = Cmd::Add;
      }
      return;
    }

    _applyDown(ptr, rangeend - rangebegin);

    _addValueRange(begin, end, val, ptr << 1, rangebegin, (rangebegin + rangeend) >> 1);
    _addValueRange(begin, end, val, (ptr << 1) + 1, (rangebegin + rangeend) >> 1, rangeend);

    _applyUp(ptr);
  }

  T _getSumRange(int begin, int end, int ptr, int rangebegin, int rangeend) {
    if (rangeend <= begin || end <= rangebegin)
      return 0;  // note:範囲外
    if (begin <= rangebegin && rangeend <= end) {
      if (size_ <= ptr)
        return leaf_[rangebegin];
      else
        return node_[ptr].sum;
    }

    _applyDown(ptr, rangeend - rangebegin);

    return _getSumRange(begin, end, ptr << 1, rangebegin, (rangebegin + rangeend) >> 1) +
           _getSumRange(begin, end, (ptr << 1) + 1, (rangebegin + rangeend) >> 1, rangeend);
  }

  IdxVal _getMaxRange(int begin, int end, int ptr, int rangebegin, int rangeend) {
    if (rangeend <= begin || end <= rangebegin)
      return IdxVal(-1);  // note:範囲外
    if (begin <= rangebegin && rangeend <= end) {
      if (size_ <= ptr)
        return IdxVal(rangebegin, leaf_[rangebegin]);
      else
        return node_[ptr].max;
    }

    _applyDown(ptr, rangeend - rangebegin);

    auto l = _getMaxRange(begin, end, ptr << 1, rangebegin, (rangebegin + rangeend) >> 1);
    auto r = _getMaxRange(begin, end, (ptr << 1) + 1, (rangebegin + rangeend) >> 1, rangeend);

    if (l.index == -1)
      return move(r);
    if (r.index == -1)
      return move(l);
    return l.value < r.value ? move(r) : move(l);
  }

 public:
  // [index] の値を求める
  inline T getValue(int index) {
    _downward_applyDown((index + size_) >> 1);
    return leaf_[index];
  }

  // [index] の値を書き換える
  inline void setValue(int index, T val) {
    _downward_applyDown((index + size_) >> 1);
    T diff = val - leaf_[index];
    leaf_[index] = val;

    for (int ptr = (index + size_); 1 < ptr;) {
      ptr >>= 1;
      node_[ptr].sum -= diff;
      _applyUp(ptr);
    }
  }

  // [index] の値に加算する
  inline void addValue(int index, T val) {
    _downward_applyDown((index + size_) >> 1);
    leaf_[index] += val;

    for (int ptr = (index + size_); 1 < ptr;) {
      ptr >>= 1;
      node_[ptr].sum += val;
      _applyUp(ptr);
    }
  }

  // 区間[begin,end)全てにvalをセットする
  inline void setValueRange(int begin, int end, T val) {
    _setValueRange(begin, end, val, 1, 0, size_);
  }

  // 区間[begin,end)に一様にvalを加算する
  inline void addValueRange(int begin, int end, T val) {
    _addValueRange(begin, end, val, 1, 0, size_);
  }

  // 区間[begin,end)の和を求める
  inline T getSumRange(int begin, int end) { return _getSumRange(begin, end, 1, 0, size_); }

  // 区間[begin,end)の最大値とその位置を求める
  inline IdxVal getMaxRange(int begin, int end) { return _getMaxRange(begin, end, 1, 0, size_); }
};

//

int N;
int A[100010];

//

int lis[100010];
int lds[100010];
int rlis[100010];
int rlds[100010];

int main() {
  scanner >> N;
  scanner.in(A, A+N);
  
  
  map<int, int> zip;
  {
    repeat(i, N) { zip[A[i]] = 0; }
    int k = 0;
    for (auto& p : zip) p.second = k++;
  }
  
  {
    SegmentTree<int> seg(N);
    repeat(i, N) {
      int x = zip[A[i]];
      int m = seg.getMaxRange(0, x).value;
      seg.setValue(x, m + 1);
      lis[i] = m + 1;
    }
  }
  {
    SegmentTree<int> seg(N);
    repeat(i, N) {
      int x = zip[A[i]];
      int m = seg.getMaxRange(x+1, N).value;
      seg.setValue(x, m + 1);
      lds[i] = m + 1;
    }
  }
  {
    SegmentTree<int> seg(N);
    rrepeat(i, N) {
      int x = zip[A[i]];
      int m = seg.getMaxRange(0, x).value;
      seg.setValue(x, m + 1);
      rlis[i] = m + 1;
    }
  }
  {
    SegmentTree<int> seg(N);
    rrepeat(i, N) {
      int x = zip[A[i]];
      int m = seg.getMaxRange(x+1, N).value;
      seg.setValue(x, m + 1);
      rlds[i] = m + 1;
    }
  }
  
  // LOG << FMTA(lis, N) << FMTA(rlis, N);
  
  int best = 0;
  repeat(i, N) {
    // LOG << lis[i] << " " << rlis[i];
    chmax(best, min(lis[i]-1, rlis[i]-1));
    chmax(best, min(lds[i]-1, rlds[i]-1));
  }
  
  cout << best << endl;
  
  return 0;
}
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結果

テストケース

ソースコード
