結果

問題 No.243 出席番号(2)
コンテスト
ユーザー suta28407928
提出日時 2020-05-16 03:01:03
言語 C++14
(gcc 15.2.0 + boost 1.89.0)
コンパイル:
g++-15 -O2 -lm -std=c++14 -Wuninitialized -DONLINE_JUDGE -o a.out _filename_
実行:
./a.out
結果
CE  
(最新)
AC  
(最初)
実行時間 -
コード長 3,476 bytes
記録
記録タグの例:
初AC ショートコード 純ショートコード 純主流ショートコード 最速実行時間
コンパイル時間 788 ms
コンパイル使用メモリ 94,680 KB
最終ジャッジ日時 2026-04-08 07:05:54
合計ジャッジ時間 6,644 ms
ジャッジサーバーID
(参考情報)
judge2_1 / judge1_0
このコードへのチャレンジ
(要ログイン)
コンパイルエラー時のメッセージ・ソースコードは、提出者また管理者しか表示できないようにしております。(リジャッジ後のコンパイルエラーは公開されます)
ただし、clay言語の場合は開発者のデバッグのため、公開されます。

コンパイルメッセージ
main.cpp:55:16: error: 'std::uint_fast64_t' has not been declared
   55 | template <std::uint_fast64_t Modulus> class modint {
      |                ^~~~~~~~~~~~~
main.cpp:14:1: note: 'std::uint_fast64_t' is defined in header '<cstdint>'; this is probably fixable by adding '#include <cstdint>'
   13 | #include <assert.h>
  +++ |+#include <cstdint>
   14 | using namespace std;
main.cpp:56:20: error: 'uint_fast64_t' in namespace 'std' does not name a type [-Wtemplate-body]
   56 |   using u64 = std::uint_fast64_t;
      |                    ^~~~~~~~~~~~~
main.cpp:56:15: note: 'std::uint_fast64_t' is defined in header '<cstdint>'; this is probably fixable by adding '#include <cstdint>'
   56 |   using u64 = std::uint_fast64_t;
      |               ^~~
main.cpp:59:3: error: 'u64' does not name a type [-Wtemplate-body]
   59 |   u64 a;
      |   ^~~
main.cpp:61:26: error: 'u64' does not name a type [-Wtemplate-body]
   61 |   constexpr modint(const u64 x = 0) noexcept : a(x % Modulus) {}
      |                          ^~~
main.cpp:62:13: error: 'u64' does not name a type [-Wtemplate-body]
   62 |   constexpr u64 &value() noexcept { return a; }
      |             ^~~
main.cpp:63:19: error: 'u64' does not name a type [-Wtemplate-body]
   63 |   constexpr const u64 &value() const noexcept { return a; }
      |                   ^~~
main.cpp:130:1: error: 'mint' does not name a type; did you mean 'uint'?
  130 | mint dp[2][5050];
      | ^~~~
      | uint
main.cpp: In function 'int main()':
main.cpp:138:9: error: 'dp' was not declared in this scope; did you mean 'dy'?
  138 |         dp[0][0] = 1;
      |         ^~
      |         dy
main.cpp:150:9: error: 'mint' was not declared in this scope; did you mean 'uint'?
  150 |         mint ans = 0;
      |         ^~~~
      |         uint
main.cpp:152:27: error: 'ans' was not declared in this scope; did you mean 'abs'?
  152 |                 if(i & 1) ans -= dp[0][i];
      |                           ^~~
      |        

ソースコード

diff #
raw source code

#include <iostream>
#include <string>
#include <cstdlib>
#include <cmath>
#include <vector>
#include <map>
#include <set>
#include <algorithm>
#include <queue>
#include <stack>
#include <functional>
#include <bitset>
#include <assert.h>
using namespace std;
typedef long long ll;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef vector<char> vc;
typedef vector<string> vs;
typedef vector<bool> vb;
typedef vector<double> vd;
typedef pair<ll,ll> P;
typedef vector<P> vpl;
typedef tuple<ll,ll,ll> tapu;
#define rep(i,n) for(ll i=0; i<(n); i++)
#define REP(i,a,b) for(int i=(a); i<(b); i++)
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
const int inf = 1<<30;
const ll linf = 1LL<<62;
const int MAX = 1100000;
ll dy[8] = {0,1,0,-1,1,-1,1,-1};
ll dx[8] = {1,0,-1,0,1,-1,-1,1};
const double pi = acos(-1);
const double eps = 1e-7;
template<typename T1,typename T2> inline bool chmin(T1 &a,T2 b){
	if(a>b){
		a = b; return true;
	}
	else return false;
}
template<typename T1,typename T2> inline bool chmax(T1 &a,T2 b){
	if(a<b){
		a = b; return true;
	}
	else return false;
}
template<typename T1,typename T2> inline void print2(T1 a, T2 b){cout << a << " " << b << "\n";}
template<typename T1,typename T2,typename T3> inline void print3(T1 a, T2 b, T3 c){
	cout << a << " " << b << " " << c << "\n";
}
const int mod = 1e9 + 7;
//const int mod = 998244353;

template <std::uint_fast64_t Modulus> class modint {
  using u64 = std::uint_fast64_t;

public:
  u64 a;

  constexpr modint(const u64 x = 0) noexcept : a(x % Modulus) {}
  constexpr u64 &value() noexcept { return a; }
  constexpr const u64 &value() const noexcept { return a; }
  constexpr modint operator+(const modint rhs) const noexcept {
	return modint(*this) += rhs;
  }
  constexpr modint operator-(const modint rhs) const noexcept {
	return modint(*this) -= rhs;
  }
  constexpr modint operator*(const modint rhs) const noexcept {
	return modint(*this) *= rhs;
  }
  constexpr modint operator/(const modint rhs) const noexcept {
	return modint(*this) /= rhs;
  }
  constexpr modint &operator+=(const modint rhs) noexcept {
	a += rhs.a;
	if (a >= Modulus) {
	  a -= Modulus;
	}
	return *this;
  }
  constexpr modint &operator-=(const modint rhs) noexcept {
	if (a < rhs.a) {
	  a += Modulus;
	}
	a -= rhs.a;
	return *this;
  }
  constexpr modint &operator*=(const modint rhs) noexcept {
	a = a * rhs.a % Modulus;
	return *this;
  }
  constexpr modint &operator/=(modint rhs) noexcept {
	u64 exp = Modulus - 2;
	while (exp) {
	  if (exp % 2) {
		*this *= rhs;
	  }
	  rhs *= rhs;
	  exp /= 2;
	}
	return *this;
  }
};

using mint = modint<mod>;


vector<ll> fac(MAX), finv(MAX), inv(MAX);

void comInit(){
	fac[0] = fac[1] = 1;
	finv[0] = finv[1] = 1;
	inv[1] = 1;
	for(ll i=2; i<MAX; i++){
		fac[i] = fac[i-1]*i % mod;
		inv[i] = mod - inv[mod%i] * (mod/i) % mod;
		finv[i] = finv[i-1] * inv[i] % mod;
	}
}


ll com(ll n, ll k){
	if(n < k) return 0;
	if(n < 0 || k < 0) return 0;
	return fac[n] * (finv[k] * finv[n-k] % mod) % mod;
}

mint dp[2][5050];

int main(){
	ll n; cin >> n;
	vl a(n); rep(i,n) cin >> a[i];
	vl cnt(5000,0);
	rep(i,n) cnt[a[i]]++;
	comInit();
	dp[0][0] = 1;
	rep(i,n){
		rep(j,n){
			dp[1][j] += dp[0][j];
			dp[1][j+1] += dp[0][j] * cnt[i];
		}
		swap(dp[1],dp[0]);
		rep(j,n+1) dp[1][j] = 0;
	}
	rep(i,n+1){
		dp[0][i] *= fac[n-i];
	}
	mint ans = 0;
	REP(i,0,n+1){
		if(i & 1) ans -= dp[0][i];
		else ans += dp[0][i];
	}
	cout << ans.value() << endl;
}
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