test/verify/aoj-dpl-5-j.test.cpp

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• Last update: 2024-07-28 19:56:12+09:00
• Problem: http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=DPL_5_J

Depends on

• math/combinatorics/montgomery-mod-int.hpp
• Partition Table(分割数テーブル) (math/combinatorics/partition-table.hpp)
• template/template.hpp

Code

// competitive-verifier: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=DPL_5_J

#include "../../template/template.hpp"

#include "../../math/combinatorics/montgomery-mod-int.hpp"

#include "../../math/combinatorics/partition-table.hpp"

int main() {
  int N, K;
  cin >> N >> K;
  cout << partition_table< modint1000000007 >(N, K)[N][K] << endl;
}

#line 1 "test/verify/aoj-dpl-5-j.test.cpp"
// competitive-verifier: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=DPL_5_J

#line 1 "template/template.hpp"
#include <bits/stdc++.h>
#if __has_include(<atcoder/all>)
#include <atcoder/all>
#endif

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(std::forward<F>(f)) {}

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

template <typename F>
inline decltype(auto) MFP(F &&f) {
  return FixPoint<F>{std::forward<F>(f)};
}
#line 4 "test/verify/aoj-dpl-5-j.test.cpp"

#line 2 "math/combinatorics/montgomery-mod-int.hpp"

template <uint32_t mod_, bool fast = false>
struct MontgomeryModInt {
 private:
  using mint = MontgomeryModInt;
  using i32 = int32_t;
  using i64 = int64_t;
  using u32 = uint32_t;
  using u64 = uint64_t;

  static constexpr u32 get_r() {
    u32 ret = mod_;
    for (i32 i = 0; i < 4; i++) ret *= 2 - mod_ * ret;
    return ret;
  }

  static constexpr u32 r = get_r();

  static constexpr u32 n2 = -u64(mod_) % mod_;

  static_assert(r * mod_ == 1, "invalid, r * mod != 1");
  static_assert(mod_ < (1 << 30), "invalid, mod >= 2 ^ 30");
  static_assert((mod_ & 1) == 1, "invalid, mod % 2 == 0");

  u32 x;

 public:
  MontgomeryModInt() : x{} {}

  MontgomeryModInt(const i64 &a)
      : x(reduce(u64(fast ? a : (a % mod() + mod())) * n2)) {}

  static constexpr u32 reduce(const u64 &b) {
    return u32(b >> 32) + mod() - u32((u64(u32(b) * r) * mod()) >> 32);
  }

  mint &operator+=(const mint &p) {
    if (i32(x += p.x - 2 * mod()) < 0) x += 2 * mod();
    return *this;
  }

  mint &operator-=(const mint &p) {
    if (i32(x -= p.x) < 0) x += 2 * mod();
    return *this;
  }

  mint &operator*=(const mint &p) {
    x = reduce(u64(x) * p.x);
    return *this;
  }

  mint &operator/=(const mint &p) {
    *this *= p.inv();
    return *this;
  }

  mint operator-() const { return mint() - *this; }

  mint operator+(const mint &p) const { return mint(*this) += p; }

  mint operator-(const mint &p) const { return mint(*this) -= p; }

  mint operator*(const mint &p) const { return mint(*this) *= p; }

  mint operator/(const mint &p) const { return mint(*this) /= p; }

  bool operator==(const mint &p) const {
    return (x >= mod() ? x - mod() : x) == (p.x >= mod() ? p.x - mod() : p.x);
  }

  bool operator!=(const mint &p) const {
    return (x >= mod() ? x - mod() : x) != (p.x >= mod() ? p.x - mod() : p.x);
  }

  u32 val() const {
    u32 ret = reduce(x);
    return ret >= mod() ? ret - mod() : ret;
  }

  mint pow(u64 n) const {
    mint ret(1), mul(*this);
    while (n > 0) {
      if (n & 1) ret *= mul;
      mul *= mul;
      n >>= 1;
    }
    return ret;
  }

  mint inv() const { return pow(mod() - 2); }

  friend ostream &operator<<(ostream &os, const mint &p) {
    return os << p.val();
  }

  friend istream &operator>>(istream &is, mint &a) {
    i64 t;
    is >> t;
    a = mint(t);
    return is;
  }

  static constexpr u32 mod() { return mod_; }
};

template <uint32_t mod>
using modint = MontgomeryModInt<mod>;
using modint998244353 = modint<998244353>;
using modint1000000007 = modint<1000000007>;
#line 6 "test/verify/aoj-dpl-5-j.test.cpp"

#line 1 "math/combinatorics/partition-table.hpp"
/**
 * @brief Partition Table(分割数テーブル)
 *
 */
template <typename T>
vector<vector<T> > partition_table(int n, int k) {
  vector<vector<T> > dp(n + 1, vector<T>(k + 1));
  dp[0][0] = 1;
  for (int i = 0; i <= n; i++) {
    for (int j = 1; j <= k; j++) {
      if (i - j >= 0)
        dp[i][j] = dp[i][j - 1] + dp[i - j][j];
      else
        dp[i][j] = dp[i][j - 1];
    }
  }
  return dp;
}
#line 8 "test/verify/aoj-dpl-5-j.test.cpp"

int main() {
  int N, K;
  cin >> N >> K;
  cout << partition_table< modint1000000007 >(N, K)[N][K] << endl;
}

Test cases

Env	Name	Status	Elapsed	Memory
g++	00_sample_01.in	AC	5 ms	3 MB
g++	00_sample_02.in	AC	5 ms	3 MB
g++	00_sample_03.in	AC	5 ms	4 MB
g++	01_corner_00.in	AC	5 ms	3 MB
g++	01_corner_01.in	AC	5 ms	3 MB
g++	01_corner_02.in	AC	5 ms	4 MB
g++	02_maximum_00.in	AC	8 ms	7 MB
g++	02_maximum_01.in	AC	8 ms	7 MB
g++	03_random_00.in	AC	6 ms	4 MB
g++	03_random_01.in	AC	5 ms	4 MB
g++	03_random_02.in	AC	5 ms	4 MB
g++	03_random_03.in	AC	5 ms	4 MB
g++	03_random_04.in	AC	5 ms	4 MB
g++	03_random_05.in	AC	5 ms	4 MB
g++	03_random_06.in	AC	7 ms	6 MB
g++	03_random_07.in	AC	5 ms	4 MB
g++	03_random_08.in	AC	7 ms	7 MB
g++	03_random_09.in	AC	6 ms	5 MB
g++	03_random_10.in	AC	7 ms	6 MB
g++	03_random_11.in	AC	5 ms	4 MB
g++	03_random_12.in	AC	6 ms	5 MB
g++	03_random_13.in	AC	5 ms	4 MB
g++	03_random_14.in	AC	5 ms	4 MB
g++	03_random_15.in	AC	6 ms	4 MB
g++	03_random_16.in	AC	6 ms	4 MB
g++	03_random_17.in	AC	6 ms	4 MB
g++	03_random_18.in	AC	5 ms	4 MB
g++	03_random_19.in	AC	6 ms	4 MB
g++	04_corner_00.in	AC	8 ms	7 MB
g++	04_corner_01.in	AC	8 ms	7 MB
clang++	00_sample_01.in	AC	5 ms	3 MB
clang++	00_sample_02.in	AC	5 ms	3 MB
clang++	00_sample_03.in	AC	5 ms	4 MB
clang++	01_corner_00.in	AC	5 ms	3 MB
clang++	01_corner_01.in	AC	6 ms	3 MB
clang++	01_corner_02.in	AC	6 ms	4 MB
clang++	02_maximum_00.in	AC	9 ms	7 MB
clang++	02_maximum_01.in	AC	8 ms	7 MB
clang++	03_random_00.in	AC	6 ms	4 MB
clang++	03_random_01.in	AC	5 ms	4 MB
clang++	03_random_02.in	AC	5 ms	4 MB
clang++	03_random_03.in	AC	5 ms	4 MB
clang++	03_random_04.in	AC	5 ms	4 MB
clang++	03_random_05.in	AC	5 ms	4 MB
clang++	03_random_06.in	AC	7 ms	6 MB
clang++	03_random_07.in	AC	5 ms	4 MB
clang++	03_random_08.in	AC	7 ms	7 MB
clang++	03_random_09.in	AC	6 ms	5 MB
clang++	03_random_10.in	AC	6 ms	6 MB
clang++	03_random_11.in	AC	5 ms	4 MB
clang++	03_random_12.in	AC	6 ms	5 MB
clang++	03_random_13.in	AC	5 ms	4 MB
clang++	03_random_14.in	AC	5 ms	4 MB
clang++	03_random_15.in	AC	5 ms	4 MB
clang++	03_random_16.in	AC	6 ms	4 MB
clang++	03_random_17.in	AC	6 ms	4 MB
clang++	03_random_18.in	AC	5 ms	4 MB
clang++	03_random_19.in	AC	5 ms	4 MB
clang++	04_corner_00.in	AC	8 ms	7 MB
clang++	04_corner_01.in	AC	8 ms	7 MB

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