#503180 (C++14) No.1100 Boxes

提出ソース

結果

問題	No.1100 Boxes
ユーザー	QCFium
提出日時	2020-06-26 21:54:43
言語	C++14 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	95 ms / 2,000 ms
コード長	4,820 bytes
コンパイル時間	1,989 ms
コンパイル使用メモリ	178,088 KB
実行使用メモリ	7,788 KB
最終ジャッジ日時	2024-07-04 20:56:34
合計ジャッジ時間	3,917 ms
ジャッジサーバーID （参考情報）	judge1 / judge3

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	1 ms 5,376 KB
testcase_03	AC	1 ms 5,376 KB
testcase_04	AC	2 ms 5,376 KB
testcase_05	AC	2 ms 5,376 KB
testcase_06	AC	2 ms 5,376 KB
testcase_07	AC	2 ms 5,376 KB
testcase_08	AC	1 ms 5,376 KB
testcase_09	AC	1 ms 5,376 KB
testcase_10	AC	2 ms 5,376 KB
testcase_11	AC	1 ms 5,376 KB
testcase_12	AC	2 ms 5,376 KB
testcase_13	AC	2 ms 5,376 KB
testcase_14	AC	1 ms 5,376 KB
testcase_15	AC	2 ms 5,376 KB
testcase_16	AC	2 ms 5,376 KB
testcase_17	AC	2 ms 5,376 KB
testcase_18	AC	2 ms 5,376 KB
testcase_19	AC	4 ms 5,376 KB
testcase_20	AC	10 ms 5,376 KB
testcase_21	AC	37 ms 5,376 KB
testcase_22	AC	79 ms 7,328 KB
testcase_23	AC	40 ms 5,376 KB
testcase_24	AC	44 ms 5,548 KB
testcase_25	AC	49 ms 5,676 KB
testcase_26	AC	91 ms 7,584 KB
testcase_27	AC	76 ms 7,404 KB
testcase_28	AC	22 ms 5,376 KB
testcase_29	AC	85 ms 7,532 KB
testcase_30	AC	74 ms 7,264 KB
testcase_31	AC	28 ms 5,376 KB
testcase_32	AC	55 ms 5,652 KB
testcase_33	AC	94 ms 7,648 KB
testcase_34	AC	93 ms 7,788 KB
testcase_35	AC	1 ms 5,376 KB
testcase_36	AC	87 ms 7,664 KB
testcase_37	AC	2 ms 5,376 KB
testcase_38	AC	45 ms 5,376 KB
testcase_39	AC	95 ms 7,620 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

#include <bits/stdc++.h>

int ri() {
	int n;
	scanf("%d", &n);
	return n;
}

template<int mod, int proot> struct NTT {
	int get_mod() { return mod; }
	int pow(int a, int b) {
	int res = 1;
		for (; b; b >>= 1) {
			if (b & 1) res = (int64_t) res * a % mod;
			a = (int64_t) a * a % mod;
		}
		return res;
	}
	int inv(int i) { return pow(i, mod - 2); }
	void ntt(std::vector<int> &a, bool inverse) {
		int n = a.size();
		assert((n & -n) == n);
		int h = pow(proot, (mod - 1) / n);
		if (inverse) h = inv(h);
		
		for (int i = 0, j = 1; j < n - 1; j++) {
			for (int k = n >> 1; k > (i ^= k); k >>= 1);
			if (j < i) std::swap(a[i], a[j]);
		}
		for (int i = 1; i < n; i <<= 1) {
			int base = pow(h, n / i / 2);
			int w = 1;
			
			std::vector<int> ws(i);
			for (int j = 0; j < i; j++) ws[j] = w, w = (int64_t) w * base % mod;
			
			for (int j = 0; j < n; j += i << 1) {
				for (int k = 0; k < i; k++) {
					int u = a[k + j];
					int d = (int64_t) a[k + j + i] * ws[k] % mod;
					a[k + j] = u + d >= mod ? u + d - mod : u + d;
					a[k + j + i] = d > u ? u + mod - d : u - d;
				}
			}
		}
		if (inverse) {
			int ninv = inv(a.size());
			for (auto &i : a) i = (int64_t) i * ninv % mod;
		}
	}
	std::vector<int> conv(const std::vector<int> &a_, const std::vector<int> &b_) {
		if (!a_.size() || !b_.size()) return {};
		std::vector<int> a = a_, b = b_;
		size_t size = 1;
		for (; size < a_.size() + b_.size(); size <<= 1);
		a.resize(size);
		b.resize(size);
		ntt(a, false);
		ntt(b, false);
		for (size_t i = 0; i < size; i++) a[i] = (int64_t) a[i] * b[i] % mod;
		ntt(a, true);
		a.resize(a_.size() + b_.size() - 1);
		return a;
	}
	std::vector<int> self_conv(std::vector<int> a) {
		if (!a.size()) return {};
		size_t n_ = a.size();
		size_t size = 1;
		for (; size < n_ + n_; size <<= 1);
		a.resize(size);
		ntt(a, false);
		for (auto &i : a) i = (int64_t) i * i % mod;
		ntt(a, true);
		a.resize(n_ + n_ - 1);
		return a;
	}
};

template<int mod>
struct ModInt{
	int x;
	ModInt () : x(0) {}
	ModInt (int64_t x) : x(x >= 0 ? x % mod : (mod - -x % mod) % mod) {}
	ModInt &operator += (const ModInt &p){
		if ((x += p.x) >= mod) x -= mod;
		return *this;
	}
	ModInt &operator -= (const ModInt &p) {
		if ((x += mod - p.x) >= mod) x -= mod;
		return *this;
	}
	ModInt &operator *= (const ModInt &p) {
		x = (int64_t) x * p.x % mod;
		return *this;
	}
	ModInt &operator /= (const ModInt &p) {
		*this *= p.inverse();
		return *this;
	}
	ModInt &operator ^= (int64_t p) {
		ModInt res = 1;
		for (; p; p >>= 1) {
			if (p & 1) res *= *this;
			*this *= *this;
		}
		return *this = res;
	}
	ModInt operator - () const { return ModInt(-x); }
	ModInt operator + (const ModInt &p) const { return ModInt(*this) += p; }
	ModInt operator - (const ModInt &p) const { return ModInt(*this) -= p; }
	ModInt operator * (const ModInt &p) const { return ModInt(*this) *= p; }
	ModInt operator / (const ModInt &p) const { return ModInt(*this) /= p; }
	ModInt operator ^ (int64_t p) const { return ModInt(*this) ^= p; }
	bool operator == (const ModInt &p) const { return x == p.x; }
	bool operator != (const ModInt &p) const { return x != p.x; }
	explicit operator int() const { return x; }
	ModInt &operator = (const int p) { x = p; return *this;}
	ModInt inverse() const {
		int a = x, b = mod, u = 1, v = 0, t;
		while (b > 0) {
			t = a / b;
			a -= t * b;
			std::swap(a, b);
			u -= t * v;
			std::swap(u, v);
		}
		return ModInt(u);
	}
	friend std::ostream & operator << (std::ostream &stream, const ModInt<mod> &p) {
		return stream << p.x;
	}
	friend std::istream & operator >> (std::istream &stream, ModInt<mod> &a) {
		int64_t x;
		stream >> x;
		a = ModInt<mod>(x);
		return stream;
	}
};

template<int mod> struct MComb {
	using mint = ModInt<mod>;
	std::vector<mint> fact;
	std::vector<mint> inv;
	MComb (int n) { // O(n + log(mod))
		fact = std::vector<mint>(n + 1, 1);
		for (int i = 1; i <= n; i++) fact[i] = fact[i - 1] * mint(i);
		inv.resize(n + 1);
		inv[n] = fact[n] ^ (mod - 2);
		for (int i = n; i--; ) inv[i] = inv[i + 1] * mint(i + 1);
	}
	mint ncr(int n, int r) {
		return fact[n] * inv[r] * inv[n - r];
	}
	mint npr(int n, int r) {
		return fact[n] * inv[n - r];
	}
	mint nhr(int n, int r) {
		assert(n + r - 1 < (int) fact.size());
		return ncr(n + r - 1, r);
	}
};

#define MOD 998244353
typedef ModInt<MOD> mint;


int main() {
	int n = ri();
	int k = ri();
	MComb<998244353> com(k);
	
	std::vector<int> r0(k + 1);
	std::vector<int> r1(k + 1);
	for (int i = 0; i <= k; i++) r0[i] = (int) ((mint(i) ^ n) / com.fact[i]);
	for (int i = 0; i <= k; i++) r1[i] = (int) ((mint(-1) ^ i) / com.fact[i]);
	auto tmp = NTT<998244353, 3>().conv(r0, r1);
	
	mint res = 0;
	for (int i = 1; i <= k; i += 2) res += mint(tmp[k - i]) * com.fact[k - i] * com.ncr(k, i);
	std::cout << res << std::endl;
	return 0;
}

yukicoder

結果

テストケース

ソースコード