#601556 (C++17) No.1334 Multiply or Add

• 問題: No.1334 Multiply or Add
• ユーザー: KoD
• 提出日時: 2021-01-08 23:21:19
• 言語: C++17 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 87 ms / 2,000 ms
• コード長: 7,755 bytes
• コンパイル時間: 1,209 ms
• コンパイル使用メモリ: 86,980 KB
• 実行使用メモリ: 5,248 KB
• 最終ジャッジ日時: 2024-11-16 18:10:38
• 合計ジャッジ時間: 5,405 ms
• ジャッジサーバーID （参考情報）: judge1 / judge5

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	2 ms; 5,248 KB
testcase_01	AC	2 ms; 5,248 KB
testcase_02	AC	2 ms; 5,248 KB
testcase_03	AC	33 ms; 5,248 KB
testcase_04	AC	33 ms; 5,248 KB
testcase_05	AC	32 ms; 5,248 KB
testcase_06	AC	32 ms; 5,248 KB
testcase_07	AC	33 ms; 5,248 KB
testcase_08	AC	33 ms; 5,248 KB
testcase_09	AC	32 ms; 5,248 KB
testcase_10	AC	32 ms; 5,248 KB
testcase_11	AC	33 ms; 5,248 KB
testcase_12	AC	32 ms; 5,248 KB
testcase_13	AC	32 ms; 5,248 KB
testcase_14	AC	33 ms; 5,248 KB
testcase_15	AC	31 ms; 5,248 KB
testcase_16	AC	31 ms; 5,248 KB
testcase_17	AC	33 ms; 5,248 KB
testcase_18	AC	33 ms; 5,248 KB
testcase_19	AC	32 ms; 5,248 KB
testcase_20	AC	32 ms; 5,248 KB
testcase_21	AC	31 ms; 5,248 KB
testcase_22	AC	31 ms; 5,248 KB
testcase_23	AC	33 ms; 5,248 KB
testcase_24	AC	32 ms; 5,248 KB
testcase_25	AC	32 ms; 5,248 KB
testcase_26	AC	31 ms; 5,248 KB
testcase_27	AC	32 ms; 5,248 KB
testcase_28	AC	31 ms; 5,248 KB
testcase_29	AC	31 ms; 5,248 KB
testcase_30	AC	32 ms; 5,248 KB
testcase_31	AC	31 ms; 5,248 KB
testcase_32	AC	33 ms; 5,248 KB
testcase_33	AC	32 ms; 5,248 KB
testcase_34	AC	32 ms; 5,248 KB
testcase_35	AC	32 ms; 5,248 KB
testcase_36	AC	32 ms; 5,248 KB
testcase_37	AC	31 ms; 5,248 KB
testcase_38	AC	31 ms; 5,248 KB
testcase_39	AC	2 ms; 5,248 KB
testcase_40	AC	14 ms; 5,248 KB
testcase_41	AC	6 ms; 5,248 KB
testcase_42	AC	7 ms; 5,248 KB
testcase_43	AC	23 ms; 5,248 KB
testcase_44	AC	14 ms; 5,248 KB
testcase_45	AC	6 ms; 5,248 KB
testcase_46	AC	15 ms; 5,248 KB
testcase_47	AC	22 ms; 5,248 KB
testcase_48	AC	16 ms; 5,248 KB
testcase_49	AC	29 ms; 5,248 KB
testcase_50	AC	82 ms; 5,248 KB
testcase_51	AC	82 ms; 5,248 KB
testcase_52	AC	82 ms; 5,248 KB
testcase_53	AC	81 ms; 5,248 KB
testcase_54	AC	80 ms; 5,248 KB
testcase_55	AC	87 ms; 5,248 KB
testcase_56	AC	2 ms; 5,248 KB
testcase_57	AC	1 ms; 5,248 KB
testcase_58	AC	2 ms; 5,248 KB
testcase_59	AC	2 ms; 5,248 KB
testcase_60	AC	2 ms; 5,248 KB
testcase_61	AC	1 ms; 5,248 KB
testcase_62	AC	2 ms; 5,248 KB
testcase_63	AC	1 ms; 5,248 KB
testcase_64	AC	2 ms; 5,248 KB
testcase_65	AC	2 ms; 5,248 KB
testcase_66	AC	65 ms; 5,248 KB
testcase_67	AC	44 ms; 5,248 KB
testcase_68	AC	4 ms; 5,248 KB
testcase_69	AC	76 ms; 5,248 KB
testcase_70	AC	70 ms; 5,248 KB

ソースコード

#line 1 "main.cpp"

/**
 * @title Template
 */

#include <iostream>
#include <algorithm>
#include <utility>
#include <numeric>
#include <vector>
#include <array>
#include <cassert>

#line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/other/range.cpp"

#line 4 "/Users/kodamankod/Desktop/cpp_programming/Library/other/range.cpp"

class range {
  struct iter {
    std::size_t itr;
    constexpr iter(std::size_t pos) noexcept: itr(pos) { }
    constexpr void operator ++ () noexcept { ++itr; }
    constexpr bool operator != (iter other) const noexcept { return itr != other.itr; }
    constexpr std::size_t operator * () const noexcept { return itr; }
  };

  struct reviter {
    std::size_t itr;
    constexpr reviter(std::size_t pos) noexcept: itr(pos) { }
    constexpr void operator ++ () noexcept { --itr; }
    constexpr bool operator != (reviter other) const noexcept { return itr != other.itr; }
    constexpr std::size_t operator * () const noexcept { return itr; }
  };

  const iter first, last;

public:
  constexpr range(std::size_t first, std::size_t last) noexcept: first(first), last(std::max(first, last)) { }
  constexpr iter begin() const noexcept { return first; }
  constexpr iter end() const noexcept { return last; }
  constexpr reviter rbegin() const noexcept { return reviter(*last - 1); } 
  constexpr reviter rend() const noexcept { return reviter(*first - 1); } 
};

/**
 * @title Range
 */
#line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/algebraic/modular.cpp"

#line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/algebraic/mod_inv.cpp"

#line 4 "/Users/kodamankod/Desktop/cpp_programming/Library/algebraic/mod_inv.cpp"
#include <cstdint>

constexpr std::pair<int64_t, int64_t> mod_inv(int64_t a, int64_t b) {
  if ((a %= b) == 0) return { b, 0 };
  int64_t s = b, t = (a < 0 ? a + b : a);
  int64_t m0 = 0, m1 = 1, tmp = 0;
  while (t > 0) {
    const auto u = s / t;
    s -= t * u; m0 -= m1 * u;
    tmp = s; s = t; t = tmp; tmp = m0; m0 = m1; m1 = tmp;
  }
  return { s, (m0 < 0 ? m0 + b / s : m0) };
}

/**
 * @title Extended GCD
 */
#line 4 "/Users/kodamankod/Desktop/cpp_programming/Library/algebraic/modular.cpp"

#line 8 "/Users/kodamankod/Desktop/cpp_programming/Library/algebraic/modular.cpp"
#include <type_traits>

template <class Modulus>
class modular {
public:
  using value_type = uint32_t;
  using cover_type = uint64_t;
 
  static constexpr uint32_t mod() { return Modulus::mod(); }
  template <class T>
  static constexpr value_type normalize(T value_) noexcept {
    if (value_ < 0) {
      value_ = -value_;
      value_ %= mod();
      if (value_ == 0) return 0;
      return mod() - value_;
    }
    return value_ % mod();
  }

private:
  value_type value;

  template <bool IsPrime, std::enable_if_t<IsPrime>* = nullptr>
  constexpr modular inverse_helper() const noexcept { return power(*this, mod() - 2); }
  template <bool IsPrime, std::enable_if_t<!IsPrime>* = nullptr>
  constexpr modular inverse_helper() const noexcept {
    const auto tmp = mod_inv(value, mod());
    assert(tmp.first == 1);
    return modular(tmp.second);
  }

public:
  constexpr modular() noexcept : value(0) { }
  template <class T>
  explicit constexpr modular(T value_) noexcept : value(normalize(value_)) { }
  template <class T>
  explicit constexpr operator T() const noexcept { return static_cast<T>(value); }
 
  constexpr value_type get() const noexcept { return value; }
  constexpr value_type &extract() noexcept { return value; }
  constexpr modular operator - () const noexcept { return modular(mod() - value); }
  constexpr modular operator ~ () const noexcept { return inverse(*this); }
 
  constexpr modular operator + (const modular &rhs) const noexcept { return modular(*this) += rhs; }
  constexpr modular& operator += (const modular &rhs) noexcept { 
    if ((value += rhs.value) >= mod()) value -= mod(); 
    return *this; 
  }
 
  constexpr modular operator - (const modular &rhs) const noexcept { return modular(*this) -= rhs; }
  constexpr modular& operator -= (const modular &rhs) noexcept { 
    if ((value += mod() - rhs.value) >= mod()) value -= mod(); 
    return *this; 
  }
 
  constexpr modular operator * (const modular &rhs) const noexcept { return modular(*this) *= rhs; }
  constexpr modular& operator *= (const modular &rhs) noexcept { 
    value = (cover_type) value * rhs.value % mod();
    return *this;
  }
 
  constexpr modular operator / (const modular &rhs) const noexcept { return modular(*this) /= rhs; }
  constexpr modular& operator /= (const modular &rhs) noexcept { return (*this) *= inverse(rhs); }
 
  constexpr bool zero() const noexcept { return value == 0; }
  constexpr bool operator == (const modular &rhs) const noexcept { return value == rhs.value; }
  constexpr bool operator != (const modular &rhs) const noexcept { return value != rhs.value; }
 
  friend std::ostream& operator << (std::ostream &stream, const modular &rhs) { return stream << rhs.value; }
  friend constexpr modular inverse(const modular &val) noexcept { return val.inverse_helper<Modulus::is_prime>(); }
  friend constexpr modular power(modular val, cover_type exp) noexcept { 
    modular res(1);
    for (; exp > 0; exp >>= 1, val *= val) if (exp & 1) res *= val;
    return res;
  }
 
};
 
template <uint32_t Mod, bool IsPrime = true>
struct static_modulus { 
  static constexpr uint32_t mod() noexcept { return Mod; } 
  static constexpr bool is_prime = IsPrime;
};

template <uint32_t Id = 0, bool IsPrime = false>
struct dynamic_modulus {
  static uint32_t &mod() noexcept { static uint32_t val = 0; return val; }
  static constexpr bool is_prime = IsPrime;
};

template <uint32_t Mod, bool IsPrime = true>
using mint32_t = modular<static_modulus<Mod, IsPrime>>;
using rmint32_t = modular<dynamic_modulus<>>;

/*
 * @title Modint
 */
#line 16 "main.cpp"

using i32 = std::int32_t;
using i64 = std::int64_t;
using u32 = std::uint32_t;
using u64 = std::uint64_t;
using isize = std::ptrdiff_t;
using usize = std::size_t;

constexpr i32 inf32 = (u32) ~0 >> 2;
constexpr i64 inf64 = (u64) ~0 >> 2;

template <class T>
using Vec = std::vector<T>;

using Fp = mint32_t<1000000007>;

int main() {
  usize N;
  std::cin >> N;
  Vec<u64> A(N);
  for (auto &x: A) {
    std::cin >> x;
  }
  {
    u64 mul = 1;
    bool big = false;
    for (const auto x: A) {
      mul *= x;
      if (mul > (u64) 200005 * 200005) {
        big = true;
        break; 
      }
    }
    if (big) {
      Fp prd(1), sum;
      usize l = 0;
      while (A[l] == 1) {
        l += 1;
        sum += Fp(1);
      }
      usize r = N;
      while (A[r - 1] == 1) {
        r -= 1;
        sum += Fp(1);
      }
      for (auto i: range(l, r)) {
        prd *= Fp(A[i]);
      }
      std::cout << prd + sum << '\n';
      return 0;
    }
  }
  Fp ans;
  Vec<std::pair<u64, u64>> vec;
  {
    usize index = 0;
    while (index < N && A[index] == 1) {
      ans += Fp(1);
      index += 1;
    }
    while (index < N) {
      u64 mul = 1;
      while (index < N && A[index] != 1) {
        mul *= A[index];
        index += 1;
      }
      u64 sum = 0;
      while (index < N && A[index] == 1) {
        sum += 1;
        index += 1;
      }
      vec.emplace_back(mul, sum);
    }
  }
  const auto Size = vec.size();
  Vec<Vec<u64>> calc(Size, Vec<u64>(Size + 1));
  for (auto i: range(0, Size)) {
    for (auto j: range(i + 1, Size + 1)) {
      calc[i][j] = 1;
      for (auto k: range(i, j)) {
        calc[i][j] *= vec[k].first;
      }
    }
  }
  Vec<u64> dp(Size + 1);
  for (auto i: range(0, Size)) {
    for (auto j: range(i + 1, Size + 1)) {
      dp[j] = std::max(dp[j], dp[i] + calc[i][j] + vec[j - 1].second);
    }
  }
  std::cout << ans + Fp(dp.back()) << '\n';
  return 0;
}