Asa's CP Library

a01sa01to's competitive programming library. Requires C++20 or higher with GCC. This documentation is automatically generated by online-judge-tools/verification-helper

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:heavy_check_mark: tests/misc/lis/libchecker.test.cpp

Depends on

Code

#include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for (int i = 0; i < (n); ++i)
using ll = long long;
using ull = unsigned long long;

#include "../../../library/fastio.hpp"
#include "../../../library/misc/lis.hpp"
#define PROBLEM "https://judge.yosupo.jp/problem/longest_increasing_subsequence"

int main() {
  int n;
  asalib::in >> n;
  vector<int> a(n);
  rep(i, n) asalib::in >> a[i];
  vector<int> res = asalib::misc::lis(a, true);
  asalib::out << res.size() << '\n';
  rep(i, res.size()) asalib::out << res[i] << " \n"[i + 1 == res.size()];
  return 0;
}
#line 1 "tests/misc/lis/libchecker.test.cpp"
#include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for (int i = 0; i < (n); ++i)
using ll = long long;
using ull = unsigned long long;

#line 2 "library/fastio.hpp"

#line 5 "library/fastio.hpp"
#include <concepts>
#line 11 "library/fastio.hpp"
#include <type_traits>
using namespace std;

// TODO: 何も入力がない場合にも対応する?

namespace asalib {
  namespace _internal {
    class FastIn {
      static constexpr unsigned int BUFFER_SIZE = 1 << 20;
      static constexpr unsigned int MAX_TOKEN_SIZE = 64;
      array<char, BUFFER_SIZE> read_buffer = {};
      array<char, BUFFER_SIZE>::iterator read_ptr = nullptr;
      unsigned int read_size = 0;

      public:
      FastIn() {
        read_buffer.fill(0);
        read_ptr = read_buffer.begin();
        load();
      }

      private:
      void load() {
        // まだ読んでないデータを前に持ってくる
        memcpy(read_buffer.begin(), read_ptr, read_size - (read_ptr - read_buffer.begin()));
        read_size -= read_ptr - read_buffer.begin();
        read_ptr = read_buffer.begin();
        // stdin から読み込み
        read_size += fread(read_buffer.begin() + read_size, 1, BUFFER_SIZE - read_size, stdin);
      }

      void skip_space() {
        // 制御文字 + space
        // DEL (127 = 0x7F) がコーナーケースだがまあ使わんやろ
        while (*read_ptr <= ' ') ++read_ptr;
      }

      template<typename T>
        requires(integral<T> || is_same_v<T, __int128_t> || is_same_v<T, __uint128_t>)
      void _read_uint(T& x) {
        x = 0;
        while (true) {
          uint64_t v;
          memcpy(&v, read_ptr, 8);
          // '0' -> 0 処理
          // こっちを先にやることで制御文字系もはじく
          v -= 0x30'30'30'30'30'30'30'30;
          // ASCII 範囲外
          if (v & 0x80'80'80'80'80'80'80'80) break;
          // 桁ごとの数字から数値に
          v = (v * 10 + (v >> 8)) & 0x00ff00ff00ff00ff;
          v = (v * 100 + (v >> 16)) & 0x0000ffff0000ffff;
          v = (v * 10000 + (v >> 32)) & 0x00000000ffffffff;
          x = 1'0000'0000 * x + v;
          read_ptr += 8;
        }
        while (true) {
          uint32_t v;
          memcpy(&v, read_ptr, 4);
          v -= 0x30'30'30'30;
          if (v & 0x80'80'80'80) break;
          v = (v * 10 + (v >> 8)) & 0x00ff00ff;
          v = (v * 100 + (v >> 16)) & 0x0000ffff;
          x = 1'0000 * x + v;
          read_ptr += 4;
        }
        while (true) {
          uint16_t v;
          memcpy(&v, read_ptr, 2);
          v -= 0x3030;
          if (v & 0x8080) break;
          v = (v * 10 + (v >> 8)) & 0x00ff;
          x = 100 * x + v;
          read_ptr += 2;
        }
        if (*read_ptr > ' ') x = 10 * x + (*read_ptr++ & 0x0f);
      }

      void read_commonop() {
        // そろそろ限界なら読み込み
        if ((read_ptr - read_buffer.begin()) + MAX_TOKEN_SIZE >= BUFFER_SIZE) load();
        skip_space();
      }

      public:
      FastIn& operator>>(char& x) {
        read_commonop();
        x = *read_ptr++;
        return *this;
      }

      FastIn& operator>>(string& x) {
        read_commonop();
        x.clear();
        while (*read_ptr > ' ') {
          x += *read_ptr++;
          if (read_ptr == read_buffer.end()) load();
        }
        return *this;
      }

      template<typename T>
        requires(integral<T> || is_same_v<T, __int128_t> || is_same_v<T, __uint128_t>)
      FastIn& operator>>(T& x) {
        read_commonop();
        if constexpr (is_signed_v<T> || is_same_v<T, __int128_t>) {
          if (*read_ptr == '-') {
            ++read_ptr;
            _read_uint(x);
            x = -x;
            return *this;
          }
        }
        _read_uint(x);
        return *this;
      }
    };

    class FastOut {
      static constexpr unsigned int BUFFER_SIZE = 1 << 20;
      static constexpr unsigned int MAX_TOKEN_SIZE = 64;
      static constexpr unsigned int MAX_PRECOMPUTE_NUM = 1'0000;
      static constexpr unsigned int MAX_PRECOMPUTE_NUM_DIGIT = 4;
      array<char, BUFFER_SIZE> write_buffer = {};
      array<char, BUFFER_SIZE>::iterator write_ptr = nullptr;

      public:
      FastOut() {
        write_buffer.fill(0);
        write_ptr = write_buffer.begin();
      }
      ~FastOut() { flush(); }

      private:
      static constexpr array<char, MAX_PRECOMPUTE_NUM * MAX_PRECOMPUTE_NUM_DIGIT> digits = [] {
        array<char, MAX_PRECOMPUTE_NUM * MAX_PRECOMPUTE_NUM_DIGIT> digits {};
        for (unsigned int i = 0; i < MAX_PRECOMPUTE_NUM; ++i) {
          unsigned int x = i;
          for (int j = MAX_PRECOMPUTE_NUM_DIGIT - 1; j >= 0; --j) {
            digits[i * MAX_PRECOMPUTE_NUM_DIGIT + j] = '0' + (x % 10);
            x /= 10;
          }
        }
        return digits;
      }();

      template<typename T>
        requires(integral<T> || is_same_v<T, __int128_t> || is_same_v<T, __uint128_t>)
      static constexpr array<T, numeric_limits<T>::digits10 + 1> Pow10 = [] {
        array<T, numeric_limits<T>::digits10 + 1> pow10 {};
        pow10[0] = 1;
        for (unsigned int i = 1; i < pow10.size(); ++i) pow10[i] = pow10[i - 1] * 10;
        return pow10;
      }();

      void write_commonop() {
        // そろそろ限界なら書き込む
        if ((write_ptr - write_buffer.begin()) + MAX_TOKEN_SIZE >= BUFFER_SIZE) flush();
      }

      void putchar(const char& x) { *write_ptr++ = x; }

      template<typename T, int NumDig>
        requires(integral<T> || is_same_v<T, __int128_t> || is_same_v<T, __uint128_t>)
      void _write_uint_top(const T& x) {
        // leading-zero を書き込まないようにする
        if constexpr (NumDig > 1) {
          if (x < Pow10<T>[NumDig - 1]) {
            _write_uint_top<T, NumDig - 1>(x);
            return;
          }
        }
        copy_n(digits.begin() + (x + 1) * MAX_PRECOMPUTE_NUM_DIGIT - NumDig, NumDig, write_ptr);
        write_ptr += NumDig;
      }

      template<typename T, int NumDig>
        requires(integral<T> || is_same_v<T, __int128_t> || is_same_v<T, __uint128_t>)
      void _write_uint(const T& x) {
        if constexpr (NumDig >= 0) {
          if constexpr (NumDig > MAX_PRECOMPUTE_NUM_DIGIT) _write_uint<T, NumDig - MAX_PRECOMPUTE_NUM_DIGIT>(x / MAX_PRECOMPUTE_NUM);
          copy_n(digits.begin() + x % MAX_PRECOMPUTE_NUM * MAX_PRECOMPUTE_NUM_DIGIT, MAX_PRECOMPUTE_NUM_DIGIT, write_ptr);
          write_ptr += MAX_PRECOMPUTE_NUM_DIGIT;
        }
      }

      template<typename T, int NumDig>
        requires(integral<T> || is_same_v<T, __int128_t> || is_same_v<T, __uint128_t>)
      void _write_uint_root(const T& x) {
        if constexpr (is_same_v<T, __int128_t> || is_same_v<T, __uint128_t>) {
          // 128bit 除算はおそいので 64bit 除算を使う
          if (x < Pow10<T>[16]) {
            _write_uint_root<uint64_t, NumDig>(x);
          }
          else if (x < Pow10<T>[32]) {
            _write_uint_root<uint64_t, NumDig>(x / Pow10<T>[16]);
            _write_uint<uint64_t, 16>(x % Pow10<T>[16]);
          }
          else {
            _write_uint_root<uint64_t, NumDig>(x / Pow10<T>[32]);
            _write_uint<uint64_t, 16>(x % Pow10<T>[32] / Pow10<T>[16]);
            _write_uint<uint64_t, 16>(x % Pow10<T>[16]);
          }
          return;
        }

        if constexpr (NumDig < numeric_limits<T>::digits10) {
          if (x >= Pow10<T>[NumDig]) {
            _write_uint_root<T, NumDig + MAX_PRECOMPUTE_NUM_DIGIT>(x);
            return;
          }
        }
        _write_uint_top<T, MAX_PRECOMPUTE_NUM_DIGIT>(x / Pow10<T>[NumDig - MAX_PRECOMPUTE_NUM_DIGIT]);
        if constexpr (NumDig > MAX_PRECOMPUTE_NUM_DIGIT) _write_uint<T, NumDig - MAX_PRECOMPUTE_NUM_DIGIT>(x % Pow10<T>[NumDig - MAX_PRECOMPUTE_NUM_DIGIT]);
      }

      public:
      void flush() {
        fwrite(write_buffer.begin(), 1, write_ptr - write_buffer.begin(), stdout);
        write_ptr = write_buffer.begin();
      }

      FastOut& operator<<(const char& x) {
        write_commonop();
        putchar(x);
        return *this;
      }

      FastOut& operator<<(const string& x) {
        write_commonop();
        unsigned int idx = 0;
        while (idx < x.size()) {
          const unsigned int siz = min(BUFFER_SIZE - static_cast<unsigned int>(write_ptr - write_buffer.begin()), static_cast<unsigned int>(x.size()) - idx);
          copy_n(x.begin() + idx, siz, write_ptr);
          write_ptr += siz;
          idx += siz;
          if (write_ptr == write_buffer.end()) flush();
        }
        return *this;
      }

      template<typename T>
        requires(integral<T> || is_same_v<T, __int128_t> || is_same_v<T, __uint128_t>)
      FastOut& operator<<(const T& x) {
        write_commonop();
        if constexpr (is_signed_v<T> || is_same_v<T, __int128_t>) {
          if (x < 0) {
            putchar('-');
            _write_uint_root<T, MAX_PRECOMPUTE_NUM_DIGIT>(-x);
            return *this;
          }
        }
        _write_uint_root<T, MAX_PRECOMPUTE_NUM_DIGIT>(x);
        return *this;
      }
    };
  }  // namespace _internal

  inline _internal::FastIn in;
  inline _internal::FastOut out;
}  // namespace asalib
#line 2 "library/misc/lis.hpp"

#line 4 "library/misc/lis.hpp"
#include <ranges>
#line 6 "library/misc/lis.hpp"
using namespace std;

namespace asalib::misc {
  template<class T>
  vector<int> lis(const vector<T>& a, const bool strict = true) {
    vector<T> dp(0);
    vector<int> idx(a.size());
    for (int i = 0; i < ranges::ssize(a); ++i) {
      decltype(ranges::begin(dp)) it;
      if (strict)
        it = ranges::lower_bound(dp, a[i]);
      else
        it = ranges::upper_bound(dp, a[i]);
      if (it == ranges::end(dp)) {
        idx[i] = ranges::ssize(dp);
        dp.push_back(a[i]);
      }
      else {
        idx[i] = ranges::distance(ranges::begin(dp), it);
        *it = a[i];
      }
    }
    vector<int> res(dp.size());
    int j = ranges::ssize(dp) - 1;
    for (int i = ranges::ssize(a) - 1; i >= 0; --i) {
      if (idx[i] == j) {
        res[j] = i, --j;
      }
    }
    return res;
  }
}  // namespace asalib::misc
#line 9 "tests/misc/lis/libchecker.test.cpp"
#define PROBLEM "https://judge.yosupo.jp/problem/longest_increasing_subsequence"

int main() {
  int n;
  asalib::in >> n;
  vector<int> a(n);
  rep(i, n) asalib::in >> a[i];
  vector<int> res = asalib::misc::lis(a, true);
  asalib::out << res.size() << '\n';
  rep(i, res.size()) asalib::out << res[i] << " \n"[i + 1 == res.size()];
  return 0;
}
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