結果

問題 No.2141 Enumeratest
ユーザー ゆにぽけゆにぽけ
提出日時 2023-10-26 06:12:43
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 16 ms / 2,000 ms
コード長 3,526 bytes
コンパイル時間 1,343 ms
コンパイル使用メモリ 131,480 KB
実行使用メモリ 11,000 KB
最終ジャッジ日時 2024-09-25 12:16:30
合計ジャッジ時間 2,804 ms
ジャッジサーバーID
(参考情報)
judge5 / judge1
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
5,248 KB
testcase_01 AC 2 ms
5,376 KB
testcase_02 AC 5 ms
5,376 KB
testcase_03 AC 16 ms
11,000 KB
testcase_04 AC 16 ms
11,000 KB
testcase_05 AC 1 ms
5,376 KB
testcase_06 AC 2 ms
5,376 KB
testcase_07 AC 3 ms
5,376 KB
testcase_08 AC 7 ms
6,016 KB
testcase_09 AC 5 ms
5,376 KB
testcase_10 AC 10 ms
7,808 KB
testcase_11 AC 14 ms
10,212 KB
testcase_12 AC 2 ms
5,376 KB
testcase_13 AC 5 ms
5,376 KB
testcase_14 AC 14 ms
10,200 KB
testcase_15 AC 10 ms
7,296 KB
testcase_16 AC 12 ms
8,192 KB
testcase_17 AC 10 ms
7,808 KB
testcase_18 AC 5 ms
5,376 KB
testcase_19 AC 12 ms
9,088 KB
testcase_20 AC 8 ms
6,656 KB
testcase_21 AC 7 ms
6,528 KB
testcase_22 AC 6 ms
5,376 KB
testcase_23 AC 5 ms
5,376 KB
testcase_24 AC 14 ms
10,624 KB
testcase_25 AC 7 ms
5,888 KB
testcase_26 AC 3 ms
5,376 KB
testcase_27 AC 7 ms
5,888 KB
testcase_28 AC 6 ms
5,504 KB
testcase_29 AC 4 ms
5,376 KB
testcase_30 AC 11 ms
8,648 KB
testcase_31 AC 8 ms
6,912 KB
testcase_32 AC 10 ms
8,320 KB
testcase_33 AC 7 ms
6,400 KB
testcase_34 AC 12 ms
9,300 KB
testcase_35 AC 3 ms
5,376 KB
testcase_36 AC 7 ms
5,888 KB
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ソースコード

diff #

#include<iostream>
#include<vector>
#include<algorithm>
#include<cstring>
#include<cassert>
#include<cmath>
#include<ctime>
#include<iomanip>
#include<numeric>
#include<stack>
#include<queue>
#include<map>
#include<unordered_map>
#include<set>
#include<unordered_set>
#include<bitset>
#include<random>
#include<functional>
#include<utility>
using namespace std;
template<int m> struct modint
{
	private:
	unsigned int value;
	static constexpr int mod() {return m;}

	public:
	constexpr modint(const long long x = 0) noexcept
	{
		long long y = x;
		if(y < 0 || y >= mod())
		{
			y %= mod();
			if(y < 0) y += mod();
		}
		value = (unsigned int)y;
	}
	constexpr unsigned int val() noexcept {return value;}
	constexpr modint &operator+=(const modint &other) noexcept
	{
		value += other.value;
		if(value >= mod()) value -= mod();
		return *this;
	}
	constexpr modint &operator-=(const modint &other) noexcept
	{
		unsigned int x = value;
		if(x < other.value) x += mod();
		x -= other.value;
		value = x;
		return *this;
	}
	constexpr modint &operator*=(const modint &other) noexcept
	{
		unsigned long long x = value;
		x *= other.value;
		value = (unsigned int) (x % mod());
		return *this;
	}
	constexpr modint &operator/=(const modint &other) noexcept
	{
		return *this *= other.inverse();
	}
	constexpr modint inverse() const noexcept
	{
		assert(value);
		long long a = value,b = mod(),x = 1,y = 0;
		while(b)
		{
			long long q = a/b;
			a -= q*b; swap(a,b);
			x -= q*y; swap(x,y);
		}
		return modint(x);
	}
	constexpr modint power(long long N) const noexcept
	{
		assert(N >= 0);
		modint p = *this,ret = 1;
		while(N)
		{
			if(N & 1) ret *= p;
			p *= p;
			N >>= 1;
		}
		return ret;
	}
	constexpr modint operator+() {return *this;}
	constexpr modint operator-() {return modint() - *this;}
	constexpr modint &operator++(int) noexcept {return *this += 1;}
	constexpr modint &operator--(int) noexcept {return *this -= 1;}
	friend modint operator+(const modint& lhs, const modint& rhs) {return modint(lhs) += rhs;}
	friend modint operator-(const modint& lhs, const modint& rhs) {return modint(lhs) -= rhs;}
	friend modint operator*(const modint& lhs, const modint& rhs) {return modint(lhs) *= rhs;}
	friend modint operator/(const modint& lhs, const modint& rhs) {return modint(lhs) /= rhs;}
	friend ostream &operator<<(ostream &os,const modint &x) {return os << x.value;}
};
using mint = modint<998244353>;
//using mint = modint<1000000007>;

template<class S>
struct combination
{
	vector<S> f,invf;

	combination(int N = 0) : f(1,1),invf(1,1)
	{
		update(N);
	}

	void update(int N)
	{
		if((int)f.size() > N) return;
		int pi = (int)f.size();
		N = max(N,pi*2);

		f.resize(N+1),invf.resize(N+1);

		for(int i = pi;i <= N;i++) f[i] = f[i-1]*i;
		invf[N] = S(1)/f[N];
		for(int i = N-1;i >= pi;i--) invf[i] = invf[i+1]*(i+1);
	}

	S factorial(int N)
	{
		update(N);
		return f[N];
	}

	S invfactorial(int N)
	{
		update(N);
		return invf[N];
	}

	S P(int N,int K)
	{
		assert(0 <= K && K <= N);
		update(N);
		return f[N]*invf[N-K];
	}

	S C(int N,int K)
	{
		assert(0 <= K && K <= N);
		update(N);
		return f[N]*invf[K]*invf[N-K];
	}

	S H(int N,int K)
	{
		if(!N) return K == 0 ? 1:0;
		return C(N+K-1,K);
	}
};
combination<mint> C;
int N,M;
void solve()
{
	cin >> N >> M;
	mint ans = C.factorial(M) * (C.invfactorial(M/N)).power(N-M%N) * (C.invfactorial(M/N+1)).power(M%N);
	cout << ans << endl;
}
int main()
{
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	int tt = 1;
	//cin >> tt;
	while(tt--) solve();
}
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