結果

問題 No.2846 Birthday Cake
ユーザー ecotteaecottea
提出日時 2024-08-23 22:03:35
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 2 ms / 2,000 ms
コード長 15,559 bytes
コンパイル時間 4,457 ms
コンパイル使用メモリ 274,056 KB
実行使用メモリ 6,944 KB
最終ジャッジ日時 2024-08-23 22:03:41
合計ジャッジ時間 5,819 ms
ジャッジサーバーID
(参考情報)
judge4 / judge5
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
6,816 KB
testcase_02 AC 2 ms
6,944 KB
testcase_03 AC 2 ms
6,940 KB
testcase_04 AC 2 ms
6,944 KB
testcase_05 AC 2 ms
6,944 KB
testcase_06 AC 2 ms
6,944 KB
testcase_07 AC 2 ms
6,940 KB
testcase_08 AC 2 ms
6,940 KB
testcase_09 AC 2 ms
6,940 KB
testcase_10 AC 2 ms
6,944 KB
testcase_11 AC 2 ms
6,944 KB
testcase_12 AC 2 ms
6,940 KB
testcase_13 AC 2 ms
6,940 KB
testcase_14 AC 2 ms
6,940 KB
testcase_15 AC 2 ms
6,940 KB
testcase_16 AC 2 ms
6,940 KB
testcase_17 AC 2 ms
6,944 KB
testcase_18 AC 2 ms
6,944 KB
testcase_19 AC 1 ms
6,940 KB
testcase_20 AC 2 ms
6,940 KB
testcase_21 AC 1 ms
6,940 KB
testcase_22 AC 2 ms
6,944 KB
testcase_23 AC 2 ms
6,944 KB
testcase_24 AC 2 ms
6,940 KB
testcase_25 AC 2 ms
6,944 KB
testcase_26 AC 2 ms
6,940 KB
testcase_27 AC 2 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
6,940 KB
testcase_32 AC 2 ms
6,944 KB
testcase_33 AC 2 ms
6,940 KB
testcase_34 AC 1 ms
6,940 KB
testcase_35 AC 2 ms
6,944 KB
testcase_36 AC 2 ms
6,944 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

diff #

#ifndef HIDDEN_IN_VS // 折りたたみ用

// 警告の抑制
#define _CRT_SECURE_NO_WARNINGS

// ライブラリの読み込み
#include <bits/stdc++.h>
using namespace std;

// 型名の短縮
using ll = long long; using ull = unsigned long long; // -2^63 ~ 2^63 = 9 * 10^18(int は -2^31 ~ 2^31 = 2 * 10^9)
using pii = pair<int, int>;	using pll = pair<ll, ll>;	using pil = pair<int, ll>;	using pli = pair<ll, int>;
using vi = vector<int>;		using vvi = vector<vi>;		using vvvi = vector<vvi>;	using vvvvi = vector<vvvi>;
using vl = vector<ll>;		using vvl = vector<vl>;		using vvvl = vector<vvl>;	using vvvvl = vector<vvvl>;
using vb = vector<bool>;	using vvb = vector<vb>;		using vvvb = vector<vvb>;
using vc = vector<char>;	using vvc = vector<vc>;		using vvvc = vector<vvc>;
using vd = vector<double>;	using vvd = vector<vd>;		using vvvd = vector<vvd>;
template <class T> using priority_queue_rev = priority_queue<T, vector<T>, greater<T>>;
using Graph = vvi;

// 定数の定義
const double PI = acos(-1);
int DX[4] = { 1, 0, -1, 0 }; // 4 近傍(下,右,上,左)
int DY[4] = { 0, 1, 0, -1 };
int INF = 1001001001; ll INFL = 4004004003094073385LL; // (int)INFL = INF, (int)(-INFL) = -INF;

// 入出力高速化
struct fast_io { fast_io() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(18); } } fastIOtmp;

// 汎用マクロの定義
#define all(a) (a).begin(), (a).end()
#define sz(x) ((int)(x).size())
#define lbpos(a, x) (int)distance((a).begin(), std::lower_bound(all(a), x))
#define ubpos(a, x) (int)distance((a).begin(), std::upper_bound(all(a), x))
#define Yes(b) {cout << ((b) ? "Yes\n" : "No\n");}
#define rep(i, n) for(int i = 0, i##_len = int(n); i < i##_len; ++i) // 0 から n-1 まで昇順
#define repi(i, s, t) for(int i = int(s), i##_end = int(t); i <= i##_end; ++i) // s から t まで昇順
#define repir(i, s, t) for(int i = int(s), i##_end = int(t); i >= i##_end; --i) // s から t まで降順
#define repe(v, a) for(const auto& v : (a)) // a の全要素(変更不可能)
#define repea(v, a) for(auto& v : (a)) // a の全要素(変更可能)
#define repb(set, d) for(int set = 0, set##_ub = 1 << int(d); set < set##_ub; ++set) // d ビット全探索(昇順)
#define repis(i, set) for(int i = lsb(set), bset##i = set; i < 32; bset##i -= 1 << i, i = lsb(bset##i)) // set の全要素(昇順)
#define repp(a) sort(all(a)); for(bool a##_perm = true; a##_perm; a##_perm = next_permutation(all(a))) // a の順列全て(昇順)
#define uniq(a) {sort(all(a)); (a).erase(unique(all(a)), (a).end());} // 重複除去
#define EXIT(a) {cout << (a) << endl; exit(0);} // 強制終了
#define inQ(x, y, u, l, d, r) ((u) <= (x) && (l) <= (y) && (x) < (d) && (y) < (r)) // 半開矩形内判定

// 汎用関数の定義
template <class T> inline ll powi(T n, int k) { ll v = 1; rep(i, k) v *= n; return v; }
template <class T> inline bool chmax(T& M, const T& x) { if (M < x) { M = x; return true; } return false; } // 最大値を更新(更新されたら true を返す)
template <class T> inline bool chmin(T& m, const T& x) { if (m > x) { m = x; return true; } return false; } // 最小値を更新(更新されたら true を返す)
template <class T> inline T getb(T set, int i) { return (set >> i) & T(1); }
template <class T> inline T smod(T n, T m) { n %= m; if (n < 0) n += m; return n; } // 非負mod

// 演算子オーバーロード
template <class T, class U> inline istream& operator>>(istream& is, pair<T, U>& p) { is >> p.first >> p.second; return is; }
template <class T> inline istream& operator>>(istream& is, vector<T>& v) { repea(x, v) is >> x; return is; }
template <class T> inline vector<T>& operator--(vector<T>& v) { repea(x, v) --x; return v; }
template <class T> inline vector<T>& operator++(vector<T>& v) { repea(x, v) ++x; return v; }

#endif // 折りたたみ用


#if __has_include(<atcoder/all>)
#include <atcoder/all>
using namespace atcoder;

#ifdef _MSC_VER
#include "localACL.hpp"
#endif

//using mint = modint1000000007;
using mint = modint998244353;
//using mint = static_modint<1000000007>;
//using mint = modint; // mint::set_mod(m);

namespace atcoder {
	inline istream& operator>>(istream& is, mint& x) { ll x_; is >> x_; x = x_; return is; }
	inline ostream& operator<<(ostream& os, const mint& x) { os << x.val(); return os; }
}
using vm = vector<mint>; using vvm = vector<vm>; using vvvm = vector<vvm>; using vvvvm = vector<vvvm>; using pim = pair<int, mint>;
#endif


#ifdef _MSC_VER // 手元環境(Visual Studio)
#include "local.hpp"
#else // 提出用(gcc)
inline int popcount(int n) { return __builtin_popcount(n); }
inline int popcount(ll n) { return __builtin_popcountll(n); }
inline int lsb(int n) { return n != 0 ? __builtin_ctz(n) : 32; }
inline int lsb(ll n) { return n != 0 ? __builtin_ctzll(n) : 64; }
template <size_t N> inline int lsb(const bitset<N>& b) { return b._Find_first(); }
inline int msb(int n) { return n != 0 ? (31 - __builtin_clz(n)) : -1; }
inline int msb(ll n) { return n != 0 ? (63 - __builtin_clzll(n)) : -1; }
#define dump(...)
#define dumpel(v)
#define dump_list(v)
#define dump_mat(v)
#define input_from_file(f)
#define output_to_file(f)
#define Assert(b) { if (!(b)) { vc MLE(1<<30); EXIT(MLE.back()); } } // RE の代わりに MLE を出す
#endif


//【有理数】
/*
* Frac<T>() : O(1)
*	0 で初期化する.
*
* Frac<T>(T num) : O(1)
*	num で初期化する.
*
* Frac<T>(T num, T dnm) : O(1)
*	num / dnm で初期化する(分母は自動的に正にする)
*
* a == b, a != b, a < b, a > b, a <= b, a >= b : O(1)
*	大小比較を行う(分母が共通の場合は積はとらない)
*
* a + b, a - b, a * b, a / b : O(1)
*	加減乗除を行う(和と差については,分母が共通の場合は積はとらない)
*	一方が整数でも構わない.複合代入演算子も使用可.
*
* reduction() : O(log min(num, dnm))
*	自身の約分を行う.
*
* together(Frac& a, Frac& b) : O(log min(a.dnm, b.dnm))
*	a と b を通分する.
*
* T floor() : O(1)
*	自身の floor を返す.
*
* T ceil() : O(1)
*	自身の ceil を返す.
*/
template <class T = ll>
struct Frac {
	// verify : https://atcoder.jp/contests/abc057/tasks/abc057_d

	// 分子,分母
	T num, dnm;

	// コンストラクタ
	Frac() : num(0), dnm(1) {}
	Frac(T num) : num(num), dnm(1) {}
	Frac(T num_, T dnm_) : num(num_), dnm(dnm_) {
		// verify : https://atcoder.jp/contests/abc244/tasks/abc244_h

		Assert(dnm != 0);
		if (dnm < 0) { num *= -1; dnm *= -1; }
	}

	// 代入
	Frac(const Frac& b) = default;
	Frac& operator=(const Frac& b) = default;

	// キャスト
	operator double() const { return (double)num / (double)dnm; }

	// 比較
	bool operator==(const Frac& b) const {
		// 分母が等しいときはオーバーフロー防止のために掛け算はせず比較する.
		if (dnm == b.dnm) return num == b.num;
		return num * b.dnm == b.num * dnm;
	}
	bool operator!=(const Frac& b) const { return !(*this == b); }
	bool operator<(const Frac& b) const {
		// verify : https://atcoder.jp/contests/abc308/tasks/abc308_c

		// 分母が等しいときはオーバーフロー防止のために掛け算はせず比較する.
		if (dnm == b.dnm) return num < b.num;
		return (num * b.dnm < b.num * dnm);
	}
	bool operator>=(const Frac& b) const { return !(*this < b); }
	bool operator>(const Frac& b) const { return b < *this; }
	bool operator<=(const Frac& b) const { return !(*this > b); }

	// 整数との比較
	bool operator==(T b) const { return num == b * dnm; }
	bool operator!=(T b) const { return num != b * dnm; }
	bool operator<(T b) const { return num < b * dnm; }
	bool operator>=(T b) const { return num >= b * dnm; }
	bool operator>(T b) const { return num > b * dnm; }
	bool operator<=(T b) const { return num <= b * dnm; }
	friend bool operator==(T a, const Frac& b) { return a * b.dnm == b.num; }
	friend bool operator!=(T a, const Frac& b) { return a * b.dnm != b.num; }
	friend bool operator<(T a, const Frac& b) { return a * b.dnm < b.num; }
	friend bool operator>=(T a, const Frac& b) { return a * b.dnm >= b.num; }
	friend bool operator>(T a, const Frac& b) { return a * b.dnm > b.num; }
	friend bool operator<=(T a, const Frac& b) { return a * b.dnm <= b.num; }

	// 四則演算
	Frac& operator+=(const Frac& b) {
		// verify : https://www.codechef.com/problems/ARCTR

		// 分母が等しいときはオーバーフロー防止のために掛け算はせず加算する.
		if (dnm == b.dnm) num += b.num;
		else { num = num * b.dnm + b.num * dnm; dnm *= b.dnm; }
		return *this;
	}
	Frac& operator-=(const Frac& b) {
		// verify : https://www.codechef.com/problems/ARCTR

		// 分母が等しいときはオーバーフロー防止のために掛け算はせず加算する.
		if (dnm == b.dnm) num -= b.num;
		else { num = num * b.dnm - b.num * dnm; dnm *= b.dnm; }
		return *this;
	}
	Frac& operator*=(const Frac& b) { num *= b.num; dnm *= b.dnm; return *this; }
	Frac& operator/=(const Frac& b) {
		// verify : https://atcoder.jp/contests/abc301/tasks/abc301_g

		Assert(b.num != 0);
		num *= b.dnm; dnm *= b.num;
		if (dnm < 0) { num *= -1; dnm *= -1; }
		return *this;
	}
	Frac operator+(const Frac& b) const { Frac a = *this; return a += b; }
	Frac operator-(const Frac& b) const { Frac a = *this; return a -= b; }
	Frac operator*(const Frac& b) const { Frac a = *this; return a *= b; }
	Frac operator/(const Frac& b) const { Frac a = *this; return a /= b; }
	Frac operator-() const { return Frac(*this) *= Frac(-1); }

	// 整数との四則演算
	Frac& operator+=(T c) { num += dnm * c; return *this; }
	Frac& operator-=(T c) { num -= dnm * c; return *this; }
	Frac& operator*=(T c) { num *= c; return *this; }
	Frac& operator/=(T c) {
		Assert(c != T(0));
		dnm *= c;
		if (dnm < 0) { num *= -1; dnm *= -1; }
		return *this;
	}
	Frac operator+(T c) const { Frac a = *this; return a += c; }
	Frac operator-(T c) const { Frac a = *this; return a -= c; }
	Frac operator*(T c) const { Frac a = *this; return a *= c; }
	Frac operator/(T c) const { Frac a = *this; return a /= c; }
	friend Frac operator+(T c, const Frac& a) { return a + c; }
	friend Frac operator-(T c, const Frac& a) { return Frac(c) - a; }
	friend Frac operator*(T c, const Frac& a) { return a * c; }
	friend Frac operator/(T c, const Frac& a) { return Frac(c) / a; }

	// 約分を行う.
	void reduction() {
		// verify : https://atcoder.jp/contests/abc229/tasks/abc229_h

		auto g = gcd(num, dnm);
		num /= g; dnm /= g;
	}

	// a と b を通分する.
	friend void together(Frac& a, Frac& b) {
		// verify : https://atcoder.jp/contests/abc229/tasks/abc229_h

		T dnm = lcm(a.dnm, b.dnm);
		a.num *= dnm / a.dnm; a.dnm = dnm;
		b.num *= dnm / b.dnm; b.dnm = dnm;
	}

	// 自身の floor を返す.
	T floor() const {
		// verify : https://www.codechef.com/problems/LINEFIT?tab=statement

		if (num >= 0) return num / dnm;
		else return -((-num + dnm - 1) / dnm);
	}

	// 自身の ceil を返す.
	T ceil() const {
		// verify : https://www.codechef.com/problems/LINEFIT?tab=statement

		if (num >= 0) return (num + dnm - 1) / dnm;
		else return -((-num) / dnm);
	}

#ifdef _MSC_VER
	friend ostream& operator<<(ostream& os, const Frac& a) { os << a.num << '/' << a.dnm; return os; }
#endif
};


//【多項係数(n が小さい)】O(n)
/*
* 多項係数 nC[rs] を返す.(n = Σrs)
*/
template <class T>
T multinomial(const vi& rs) {
	// verify : https://projecteuler.net/problem=862

	T val = 1; T mul = 1;

	repe(r, rs) {
		if (r < 0) return 0;

		repi(i, 1, r) {
			val *= mul++;
			val /= i;
		}
	}

	return val;
}


ll TLE(int n, int d) {
	vi cnt(n + 1); ll res = 0;

	function<void(Frac<ll>, int, int)> rf = [&](Frac<ll> s, int i, int px) {
		s.reduction();

		if (i == d) {
			if (s == Frac<ll>(0)) {
				ll add = multinomial<ll>(cnt);
				res += add;
				dump(cnt, ":", add);
			}
			return;
		}

		repir(x, px, 1) {
			cnt[x]++;
			rf(s - Frac<ll>(1, x), i + 1, x);
			cnt[x]--;
		}
	};
	rf(Frac<ll>(1), 0, n);

	return res;
}


ll TLE2(int n, int d) {
	vi cnt(n + 1); ll res = 0;

	function<void(Frac<ll>, int, int)> rf = [&](Frac<ll> s, int i, int px) {
		s.reduction();

		if (i == d) {
			if (s == Frac<ll>(0)) {
				ll add = multinomial<ll>(cnt);
				res += add;
//				dump(cnt, ":", add);
			}
			return;
		}

		repir(x, px, 1) {
			if (s - Frac<ll>(d - i) * Frac<ll>(1, x) < Frac<ll>(0)) break;

			cnt[x]++;
			rf(s - Frac<ll>(1, x), i + 1, x);
			cnt[x]--;
		}
	};
	rf(Frac<ll>(1), 0, n);

	return res;
}


void umekomi() {
	int N = 24;

	vvl ans(N + 1, vl(N + 1));
	repi(n, 1, N) repi(k, 1, n) {
		dump(n, k);
		ans[n][k] = TLE2(n, k);
	}

	dump_mat(ans);

	exit(0);
}


// オーバーフロー対策忘れてた.いけるか・・・・?
vvl ans = { {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},
{0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},
{0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},
{0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},
{0,1,1,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},
{0,1,1,4,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},
{0,1,1,10,23,16,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},
{0,1,1,10,23,16,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},
{0,1,1,10,35,91,106,43,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},
{0,1,1,10,35,121,226,505,309,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},
{0,1,1,10,47,231,667,1688,1961,640,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0},
{0,1,1,10,47,231,667,1688,1961,640,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0},
{0,1,1,10,95,511,2352,8828,20847,26719,11336,694,1,0,0,0,0,0,0,0,0,0,0,0,0},
{0,1,1,10,95,511,2352,8828,20847,26719,11336,694,1,1,0,0,0,0,0,0,0,0,0,0,0},
{0,1,1,10,95,531,2592,11740,39027,87181,118886,87781,26203,1730,1,0,0,0,0,0,0,0,0,0,0},
{0,1,1,10,119,941,6762,37990,180819,662821,1676126,2136223,1562089,595349,98281,1,0,0,0,0,0,0,0,0,0},
{0,1,1,10,119,1001,7812,50205,298503,1426678,5314931,12998305,16990810,11428613,3589041,204831,1,0,0,0,0,0,0,0,0},
{0,1,1,10,119,1001,7812,50205,298503,1426678,5314931,12998305,16990810,11428613,3589041,204831,1,1,0,0,0,0,0,0,0},
{0,1,1,10,143,1321,12612,98967,706351,4519408,23098446,90446137,233499344,359830680,303875573,120897041,15574653,61864,1,0,0,0,0,0,0},
{0,1,1,10,143,1321,12612,98967,706351,4519408,23098446,90446137,233499344,359830680,303875573,120897041,15574653,61864,1,1,0,0,0,0,0},
{0,1,1,10,167,1851,20562,188049,1637057,12442024,81943326,429039909,1740647525,5233214351,10843887965,14088489255,9982510305,2962502213,198795808,582085,1,0,0,0,0},
{0,1,1,10,167,2001,23622,247899,2492121,23603800,200197566,1457497196,8592067529,39580212205,134817405451,309930637885,426337329317,295288749243,73152855670,6996250795,28282071,1,0,0,0},
{0,1,1,10,167,2001,23622,247941,2492905,23625220,200631786,1464757108,8683726163,40413510762,140147181266,332462625610,484295650621,382283766495,146218113382,38473778130,5684671181,173183578,1,0,0},
{0,1,1,10,167,2001,23622,247941,2492905,23625220,200631786,1464757108,8683726163,40413510762,140147181266,332462625610,484295650621,382283766495,146218113382,38473778130,5684671181,173183578,1,1,0},
{0,1,1,10,191,2511,33882,409165,4641625,50103058,496822401,4403064282,33370486316,209225931487,1051662957619,4048971290390,11244715040211,20694326612398,22228226842243,11390082915896,2186175253228,151220665303,2381965422,1643558,1} };


int main() {
//	input_from_file("input.txt");
//	output_to_file("output.txt");

//	umekomi();

	int k, n;
	cin >> k >> n;

//	cout << TLE(n, k) << endl;
//	cout << TLE2(n, k) << endl;

	cout << ans[n][k] << endl;
}
0