結果

問題 No.1513 simple 門松列 problem
ユーザー Aoxiang CuiAoxiang Cui
提出日時 2021-10-07 20:15:57
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 91 ms / 3,000 ms
コード長 6,976 bytes
コンパイル時間 1,224 ms
コンパイル使用メモリ 120,016 KB
実行使用メモリ 4,380 KB
最終ジャッジ日時 2023-09-30 09:04:46
合計ジャッジ時間 3,104 ms
ジャッジサーバーID
（参考情報） 		judge12 / judge15
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 1 ms
4,376 KB
testcase_01 AC 1 ms
4,380 KB
testcase_02 AC 91 ms
4,376 KB
testcase_03 AC 2 ms
4,376 KB
testcase_04 AC 2 ms
4,376 KB
testcase_05 AC 1 ms
4,376 KB
testcase_06 AC 2 ms
4,376 KB
testcase_07 AC 2 ms
4,376 KB
testcase_08 AC 2 ms
4,376 KB
testcase_09 AC 2 ms
4,380 KB
testcase_10 AC 2 ms
4,376 KB
testcase_11 AC 2 ms
4,380 KB
testcase_12 AC 1 ms
4,376 KB
testcase_13 AC 1 ms
4,376 KB
testcase_14 AC 89 ms
4,376 KB
testcase_15 AC 90 ms
4,380 KB
testcase_16 AC 90 ms
4,380 KB
testcase_17 AC 57 ms
4,380 KB
testcase_18 AC 21 ms
4,380 KB
testcase_19 AC 3 ms
4,380 KB
testcase_20 AC 13 ms
4,376 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 # 

#define LOCAL
#define _USE_MATH_DEFINES
#include <array>
#include <cassert>
#include <cstdio>
#include <cstring>
#include <iostream>
#include <iomanip>
#include <string>
#include <sstream>
#include <vector>
#include <queue>
#include <stack>
#include <list>
#include <set>
#include <map>
#include <unordered_set>
#include <unordered_map>
#include <algorithm>
#include <complex>
#include <cmath>
#include <numeric>
#include <bitset>
#include <functional>
#include <random>
#include <ctime>

using namespace std;

template <typename A, typename B>
ostream& operator <<(ostream& out, const pair<A, B>& a) {
  out << "(" << a.first << "," << a.second << ")";
  return out;
}
template <typename T, size_t N>
ostream& operator <<(ostream& out, const array<T, N>& a) {
  out << "["; bool first = true;
  for (auto& v : a) { out << (first ? "" : ", "); out << v; first = 0;} out << "]";
  return out;
}
template <typename T>
ostream& operator <<(ostream& out, const vector<T>& a) {
  out << "["; bool first = true;
  for (auto v : a) { out << (first ? "" : ", "); out << v; first = 0;} out << "]";
  return out;
}
template <typename T, class Cmp>
ostream& operator <<(ostream& out, const set<T, Cmp>& a) {
  out << "{"; bool first = true;
  for (auto& v : a) { out << (first ? "" : ", "); out << v; first = 0;} out << "}";
  return out;
}
template <typename U, typename T, class Cmp>
ostream& operator <<(ostream& out, const map<U, T, Cmp>& a) {
  out << "{"; bool first = true;
  for (auto& p : a) { out << (first ? "" : ", "); out << p.first << ":" << p.second; first = 0;} out << "}";
  return out;
}
#ifdef LOCAL
#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
#else
#define trace(...) 42
#endif
template <typename Arg1>
void __f(const char* name, Arg1&& arg1){
  cerr << name << ": " << arg1 << endl;
}
template <typename Arg1, typename... Args>
void __f(const char* names, Arg1&& arg1, Args&&... args){
  const char* comma = strchr(names + 1, ',');
  cerr.write(names, comma - names) << ": " << arg1 << " |";
  __f(comma + 1, args...);
}

template <class T> auto vect(const T& v, int n) { return vector<T>(n, v); }
template <class T, class... D> auto vect(const T& v, int n, D... m) {
  return vector<decltype(vect(v, m...))>(n, vect(v, m...));
}

typedef long long int64;
typedef pair<int, int> ii;
#define SZ(x) (int)((x).size())
template <typename T> static constexpr T inf = numeric_limits<T>::max() / 2;
// const int MOD = 1e9 + 7;
const int MOD = 998244353;
mt19937 mrand(random_device{}());
int rnd(int x) { return mrand() % x; }
// mt19937_64 mrand(random_device{}());
// int64 rnd(int64 x) { return mrand() % x; }
template <class T> void out(const vector<T>& a) { for (int i = 0; i < SZ(a); ++i) cout << a[i] << " \n"[i + 1 == SZ(a)]; }
template <class T> bool ckmin(T& a, const T& b) { return b < a ? a = b, 1 : 0; }
template <class T> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; }
template <class T> void dedup(vector<T>& v) { sort(v.begin(), v.end()); v.erase(unique(v.begin(), v.end()), v.end()); }
void add(int& x, int y) { x += y; if (x >= MOD) x -= MOD; }

struct fast_ios {
  fast_ios() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(10);
  };
} fast_ios_;

template <int MOD_> struct modnum {
  static constexpr int MOD = MOD_;
  static_assert(MOD_ > 0, "MOD must be positive");

 private:
  int v;
  static int minv(int a, int m) {
    a %= m; assert(a);
    return a == 1 ? 1 : int(m - int64(minv(m, a)) * int64(m) / a);
  }

 public:
  modnum() : v(0) {}
  modnum(int64 v_) : v(int(v_ % MOD)) { if (v < 0) v += MOD; }
  explicit operator int() const { return v; }
  friend std::ostream& operator << (std::ostream& out, const modnum& n) { return out << int(n); }
  friend std::istream& operator >> (std::istream& in, modnum& n) { int64 v_; in >> v_; n = modnum(v_); return in; }
  friend bool operator == (const modnum& a, const modnum& b) { return a.v == b.v; }
  friend bool operator != (const modnum& a, const modnum& b) { return a.v != b.v; }

  modnum inv() const { modnum res; res.v = minv(v, MOD); return res; }
  friend modnum inv(const modnum& m) { return m.inv(); }
  modnum neg() const { modnum res; res.v = v ? MOD-v : 0; return res; }
  friend modnum neg(const modnum& m) { return m.neg(); }

  modnum operator- () const { return neg(); }
  modnum operator+ () const { return modnum(*this); }

  modnum& operator ++ () { ++v; if (v == MOD) v = 0; return *this; }
  modnum& operator -- () { if (v == 0) v = MOD; --v; return *this; }
  modnum& operator += (const modnum& o) { v += o.v; if (v >= MOD) v -= MOD; return *this; }
  modnum& operator -= (const modnum& o) { v -= o.v; if (v < 0) v += MOD; return *this; }
  modnum& operator *= (const modnum& o) { v = int(int64(v) * int64(o.v) % MOD); return *this; }
  modnum& operator /= (const modnum& o) { return *this *= o.inv(); }

  friend modnum operator ++ (modnum& a, int) { modnum r = a; ++a; return r; }
  friend modnum operator -- (modnum& a, int) { modnum r = a; --a; return r; }
  friend modnum operator + (const modnum& a, const modnum& b) { return modnum(a) += b; }
  friend modnum operator - (const modnum& a, const modnum& b) { return modnum(a) -= b; }
  friend modnum operator * (const modnum& a, const modnum& b) { return modnum(a) *= b; }
  friend modnum operator / (const modnum& a, const modnum& b) { return modnum(a) /= b; }
  friend modnum power(modnum a, int64 n) {
    modnum ret = 1;
    for (; n; n >>= 1) {
      if (n & 1) ret *= a;
      a *= a;
    }
    return ret;
  }
};

using mint = modnum<MOD>;

int main() {
  int n, m;
  cin >> n >> m;

  auto dp = vect<mint>(0, m, m);
  auto sum = vect<mint>(0, m, m);
  auto pre = vect<mint>(0, m, m + 1);
  auto pre2 = vect<mint>(0, m, m + 1);

  for (int i = 0; i < m; ++i) {
    for (int j = 0; j < m; ++j) {
      dp[i][j] = i != j;
      sum[i][j] = (i != j ? i + j : 0);
      pre[i][j + 1] = pre[i][j] + dp[i][j];
      pre2[i][j + 1] = pre2[i][j] + sum[i][j];
    }
  }
  for (int pos = n - 1; pos >= 2; --pos) {
    auto ndp = vect<mint>(0, m, m);
    auto nsum = vect<mint>(0, m, m);
    for (int i = 0; i < m; ++i) {
      for (int j = 0; j < m; ++j) {
        if (i == j) continue;
        if (i < j) {
          ndp[i][j] = pre[j][j] - dp[j][i];
          nsum[i][j] = pre2[j][j] - sum[j][i] + i * ndp[i][j];
        } else {
          ndp[i][j] = pre[j][m] - pre[j][j + 1] - dp[j][i];
          nsum[i][j] = pre2[j][m] - pre2[j][j + 1] - sum[j][i] + i * ndp[i][j];
        }
      }
    }
    swap(dp, ndp);
    swap(sum, nsum);
    for (int i = 0; i < m; ++i) {
      for (int j = 0; j < m; ++j) {
        pre[i][j + 1] = pre[i][j] + dp[i][j];
        pre2[i][j + 1] = pre2[i][j] + sum[i][j];
      }
    }
  }

  mint ret1 = 0, ret2 = 0;
  for (int i = 0; i < m; ++i) {
    for (int j = 0; j < m; ++j) {
      if (i != j) {
        ret1 += dp[i][j];
        ret2 += sum[i][j];
      }
    }
  }
  cout << ret1 << " " << ret2 << '\n';

  return 0;
}
0