結果

問題 No.2527 H and W
ユーザー ゆにぽけゆにぽけ
提出日時 2023-11-04 12:17:38
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 26 ms / 2,000 ms
コード長 3,890 bytes
コンパイル時間 1,499 ms
コンパイル使用メモリ 136,696 KB
実行使用メモリ 14,044 KB
最終ジャッジ日時 2023-11-04 12:17:41
合計ジャッジ時間 2,759 ms
ジャッジサーバーID
（参考情報） 		judge15 / judge12
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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
4,368 KB
testcase_01 AC 2 ms
4,368 KB
testcase_02 AC 15 ms
11,052 KB
testcase_03 AC 2 ms
4,368 KB
testcase_04 AC 26 ms
11,052 KB
testcase_05 AC 13 ms
4,368 KB
testcase_06 AC 26 ms
11,416 KB
testcase_07 AC 2 ms
4,368 KB
testcase_08 AC 15 ms
11,052 KB
testcase_09 AC 15 ms
11,052 KB
testcase_10 AC 16 ms
11,052 KB
testcase_11 AC 12 ms
4,368 KB
testcase_12 AC 24 ms
11,052 KB
testcase_13 AC 23 ms
11,052 KB
testcase_14 AC 16 ms
11,052 KB
testcase_15 AC 12 ms
4,368 KB
testcase_16 AC 15 ms
11,052 KB
testcase_17 AC 15 ms
11,052 KB
testcase_18 AC 15 ms
11,052 KB
testcase_19 AC 21 ms
14,044 KB
testcase_20 AC 19 ms
12,604 KB
testcase_21 AC 15 ms
11,052 KB
testcase_22 AC 16 ms
11,052 KB
testcase_23 AC 15 ms
11,052 KB
testcase_24 AC 12 ms
8,284 KB
testcase_25 AC 14 ms
10,064 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;
#include<vector>
#include<algorithm>
vector<long long> divisors(long long n)
{
	vector<long long> ret;
	for(long long i = 1;i*i <= n;i++)
	{
		if(n%i == 0)
		{
			ret.push_back(i);
			if(i != n/i) ret.push_back(n/i);
		}
	}

	sort(ret.begin(),ret.end());

	return ret;
}

int H,W;
long long K;
void solve()
{
	cin >> H >> W >> K;
	vector<long long> D = divisors(K);
	mint ans = 0;
	for(int d:D)
	{
		int i = H-d,j = W-K/d;
		if(i < 0 || j < 0 || i > H || j > W) continue;
		ans += C.C(H,i)*C.C(W,j);
	}
	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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