#360378 (C++14) No.243 出席番号(2)

提出ソース

結果

問題	No.243 出席番号(2)
ユーザー	fumiphys
提出日時	2019-07-18 02:05:46
言語	C++14 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	1,162 ms / 2,000 ms
コード長	5,539 bytes
コンパイル時間	1,781 ms
コンパイル使用メモリ	173,124 KB
実行使用メモリ	6,944 KB
最終ジャッジ日時	2024-06-06 09:44:47
合計ジャッジ時間	14,906 ms
ジャッジサーバーID （参考情報）	judge4 / 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	2 ms 6,812 KB
testcase_01	AC	2 ms 6,940 KB
testcase_02	AC	2 ms 6,940 KB
testcase_03	AC	45 ms 6,940 KB
testcase_04	AC	48 ms 6,940 KB
testcase_05	AC	48 ms 6,944 KB
testcase_06	AC	48 ms 6,940 KB
testcase_07	AC	31 ms 6,944 KB
testcase_08	AC	190 ms 6,940 KB
testcase_09	AC	181 ms 6,944 KB
testcase_10	AC	181 ms 6,944 KB
testcase_11	AC	178 ms 6,940 KB
testcase_12	AC	133 ms 6,940 KB
testcase_13	AC	422 ms 6,940 KB
testcase_14	AC	429 ms 6,944 KB
testcase_15	AC	400 ms 6,940 KB
testcase_16	AC	423 ms 6,944 KB
testcase_17	AC	334 ms 6,944 KB
testcase_18	AC	742 ms 6,944 KB
testcase_19	AC	744 ms 6,944 KB
testcase_20	AC	723 ms 6,940 KB
testcase_21	AC	733 ms 6,940 KB
testcase_22	AC	665 ms 6,944 KB
testcase_23	AC	1,152 ms 6,940 KB
testcase_24	AC	1,146 ms 6,944 KB
testcase_25	AC	1,145 ms 6,944 KB
testcase_26	AC	1,095 ms 6,940 KB
testcase_27	AC	1,162 ms 6,940 KB
testcase_28	AC	2 ms 6,940 KB
testcase_29	AC	2 ms 6,944 KB
testcase_30	AC	1 ms 6,940 KB
testcase_31	AC	2 ms 6,944 KB
testcase_32	AC	2 ms 6,940 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

raw source code

// includes
#include <bits/stdc++.h>

// macros
#define ll long long int
#define pb emplace_back
#define mk make_pair
#define pq priority_queue
#define FOR(i, a, b) for(int i=(a);i<(b);++i)
#define rep(i, n) FOR(i, 0, n)
#define rrep(i, n) for(int i=((int)(n)-1);i>=0;i--)
#define irep(itr, st) for(auto itr = (st).begin(); itr != (st).end(); ++itr)
#define irrep(itr, st) for(auto itr = (st).rbegin(); itr != (st).rend(); ++itr)
#define vrep(v, i) for(int i = 0; i < (v).size(); i++)
#define all(x) (x).begin(),(x).end()
#define sz(x) ((int)(x).size())
#define UNIQUE(v) v.erase(unique(v.begin(), v.end()), v.end())
#define FI first
#define SE second
#define dump(a, n) for(int i = 0; i < n; i++)cout << a[i] << "\n "[i + 1 != n];
#define dump2(a, n, m) for(int i = 0; i < n; i++)for(int j = 0; j < m; j++)cout << a[i][j] << "\n "[j + 1 != m];
#define bit(n) (1LL<<(n))
#define INT(n) int n; cin >> n;
#define LL(n) ll n; cin >> n;
#define DOUBLE(n) double n; cin >> n;
using namespace std;

template <class T>bool chmax(T &a, const T &b){if(a < b){a = b; return 1;} return 0;}
template <class T>bool chmin(T &a, const T &b){if(a > b){a = b; return 1;} return 0;}
template <typename T> istream &operator>>(istream &is, vector<T> &vec){for(auto &v: vec)is >> v; return is;}
template <typename T> ostream &operator<<(ostream &os, const vector<T>& vec){for(int i = 0; i < vec.size(); i++){ os << vec[i]; if(i + 1 != vec.size())os << " ";} return os;}
template <typename T> ostream &operator<<(ostream &os, const set<T>& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;}
template <typename T> ostream &operator<<(ostream &os, const unordered_set<T>& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;}
template <typename T> ostream &operator<<(ostream &os, const multiset<T>& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;}
template <typename T> ostream &operator<<(ostream &os, const unordered_multiset<T>& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;}
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> ostream &operator<<(ostream &os, const map<T1, T2> &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << itr->first << ":" << itr->second; auto titr = itr; if(++titr != mp.end())os << " "; } return os;}
template <typename T1, typename T2> ostream &operator<<(ostream &os, const unordered_map<T1, T2> &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << itr->first << ":" << itr->second; auto titr = itr; if(++titr != mp.end())os << " "; } return os;}

//  types
typedef pair<int, int> P;
typedef pair<ll, int> Pl;
typedef pair<ll, ll> Pll;
typedef pair<double, double> Pd;
typedef complex<double> cd;

// constants
const int inf = 1e9;
const ll linf = 1LL << 50;
const double EPS = 1e-10;
const int mod = 1e9 + 7;
const int dx[4] = {-1, 0, 1, 0};
const int dy[4] = {0, -1, 0, 1};

// solve
template <typename T>
T power(T a, T n, T mod) {
  T res = 1;
  T tmp = n;
  T curr = a;
  while(tmp){
    if(tmp % 2 == 1){
      res = (T)(res * curr % mod);
    }
    curr = (T)(curr * curr % mod);
    tmp >>= 1;
  }

  return res;
}

struct Factorial{
  int n;
  const int MOD = 1e9 + 7;
  vector<long long> fac;
  vector<long long> inv_;
  Factorial(int n): n(n){
    fac.resize(n + 1);
    inv_.resize(n + 1);
    calc_factorial();
    calc_inv();
  }
  void calc_factorial(){
    fac[0] = 1;
    for(int i = 1; i <= n; i++){
      fac[i] = i * fac[i-1] % MOD;
    }
  }
  void calc_inv(){
    inv_[n] = power<long long>(fac[n], MOD - 2, MOD);
    for(int i = n - 1; i >= 0; i--){
      inv_[i] = (i + 1) * inv_[i+1] % MOD;
    }
  }
  long long& operator[](size_t i){
    if(i < 0 || i > n){
      cerr << "list index out of range" << endl;
      abort();
    }
    return fac[i];
  }
  long long inv(size_t i){
    if(i < 0 || i > n){
      cerr << "list index out of range" << endl;
      abort();
    }
    return inv_[i];
  }
  long long comb(int n, int k){
    if(n < k)return 0;
    long long res = fac[n];
    res = res * inv_[n-k] % MOD;
    res = res * inv_[k] % MOD;
    return res;
  }
  long long perm(int n, int k){
    if(n < k)return 0;
    long long res = fac[n];
    res = res * inv_[n-k] % MOD;
    return res;
  }
  long long h(int n, int k){
    if(n == 0 && k == 0)return 1;
    return comb(n + k - 1, k);
  }
};
ll dp[2][5001];
int c[5001];
int sum[5001];

int main(int argc, char const* argv[])
{
  ios_base::sync_with_stdio(false);
  cin.tie(0);
  cout << fixed << setprecision(20);
  INT(n); vector<int> a(n); cin >> a;
  rep(i, n)c[a[i]]++;
  rep(i, n)sum[i] = (i > 0 ? sum[i-1]: 0) + c[i];
  dp[0][0] = 1;
  Factorial fac(n);
  rep(i, n - 1){
    rep(j, n + 1)dp[(i+1)&1][j] = 0;
    rep(j, i + 2){
      for(int k = 0; k <= min(i + 1 - j, c[i+1]); k++){
        ll remk = fac.comb(i + 1 - j, k);
        ll cik = fac.perm(c[i+1], k);
        (dp[(i+1)&1][j+k+1] += (remk * cik % mod) * (dp[i&1][j] * (sum[i] - j) % mod) % mod) %= mod;
        (dp[(i+1)&1][j+k] += (remk * cik % mod) * (dp[i&1][j] * 1 % mod) % mod) %= mod;
      }
    }
  }
  int k = sum[n-1];
  ll res = dp[(n-1)&1][k] * fac[n-k] % mod;
  cout << res << endl;
  return 0;
}

yukicoder

結果

テストケース

ソースコード