結果

問題 No.1513 simple 門松列 problem
ユーザー satanicsatanic
提出日時 2021-05-21 21:56:56
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 1,259 ms / 3,000 ms
コード長 13,060 bytes
コンパイル時間 1,473 ms
コンパイル使用メモリ 142,288 KB
実行使用メモリ 39,736 KB
最終ジャッジ日時 2023-07-31 15:17:18
合計ジャッジ時間 8,863 ms
ジャッジサーバーID
(参考情報)
judge14 / judge11
このコードへのチャレンジ(β)

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 21 ms
39,412 KB
testcase_01 AC 21 ms
39,608 KB
testcase_02 AC 1,253 ms
39,536 KB
testcase_03 AC 21 ms
39,476 KB
testcase_04 AC 21 ms
39,688 KB
testcase_05 AC 21 ms
39,600 KB
testcase_06 AC 21 ms
39,616 KB
testcase_07 AC 21 ms
39,412 KB
testcase_08 AC 21 ms
39,464 KB
testcase_09 AC 22 ms
39,688 KB
testcase_10 AC 21 ms
39,464 KB
testcase_11 AC 21 ms
39,672 KB
testcase_12 AC 21 ms
39,468 KB
testcase_13 AC 21 ms
39,676 KB
testcase_14 AC 1,218 ms
39,532 KB
testcase_15 AC 1,245 ms
39,672 KB
testcase_16 AC 1,259 ms
39,736 KB
testcase_17 AC 718 ms
39,672 KB
testcase_18 AC 266 ms
39,444 KB
testcase_19 AC 24 ms
39,464 KB
testcase_20 AC 108 ms
39,416 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 #

//
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//
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// d@@H,                 (M@@@@@@@Ng&maJ....                           .. ...J.J+W@@@@@@HY!               .dH@b 
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//       ?77WMMMYB""!                                                                        _7"WWMMMY"7=     

// need
#include <iostream>
#include <algorithm>
// data structure
#include <bitset>
#include <map>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <cstring>
#include <utility>
#include <vector>
#include <complex>
//#include <deque>
#include <valarray>
#include <unordered_map>
#include <unordered_set>
#include <array>
// etc
#include <cassert>
#include <cmath>
#include <functional>
#include <iomanip>
#include <chrono>
#include <random>
#include <numeric>
#include <fstream>

//std::ifstream ifs("d.in");
//auto& scan_in = ifs;
auto& scan_in = std::cin;
auto& scan_out = std::cout;

// input
#define INIT std::ios::sync_with_stdio(false);std::cin.tie(0);
#define VAR(type, ...)type __VA_ARGS__;MACRO_VAR_Scan(__VA_ARGS__);
template<typename T> void MACRO_VAR_Scan(T& t) { scan_in >> t; }
template<typename First, typename...Rest>void MACRO_VAR_Scan(First& first, Rest& ...rest) { scan_in >> first; MACRO_VAR_Scan(rest...); }
#define VEC_ROW(type, n, ...)std::vector<type> __VA_ARGS__;MACRO_VEC_ROW_Init(n, __VA_ARGS__); for(int w_=0; w_<n; ++w_){MACRO_VEC_ROW_Scan(w_, __VA_ARGS__);}
template<typename T> void MACRO_VEC_ROW_Init(int n, T& t) { t.resize(n); }
template<typename First, typename...Rest>void MACRO_VEC_ROW_Init(int n, First& first, Rest& ...rest) { first.resize(n); MACRO_VEC_ROW_Init(n, rest...); }
template<typename T> void MACRO_VEC_ROW_Scan(int p, T& t) { scan_in >> t[p]; }
template<typename First, typename...Rest>void MACRO_VEC_ROW_Scan(int p, First& first, Rest& ...rest) { scan_in >> first[p]; MACRO_VEC_ROW_Scan(p, rest...); }
#define VEC(type, c, n) std::vector<type> c(n);for(auto& i:c)scan_in>>i;
#define MAT(type, c, m, n) std::vector<std::vector<type>> c(m, std::vector<type>(n));for(auto& R:c)for(auto& w:R)scan_in>>w;
// output
template<typename T>void MACRO_OUT(const T t) { scan_out << t; }
template<typename First, typename...Rest>void MACRO_OUT(const First first, const Rest...rest) { scan_out << first << ' '; MACRO_OUT(rest...); }
#define OUT(...) MACRO_OUT(__VA_ARGS__);
#define FOUT(n, dist) scan_out<<std::fixed<<std::setprecision(n)<<(dist);
#define SOUT(n, c, dist) scan_out<<std::setw(n)<<std::setfill(c)<<(dist);
#define VOUT(v) for(size_t i = 0; i < v.size(); ++i) {OUT(v[i]);if(i+1<v.size()){SP}}
#define EOUT(...) do{ OUT(__VA_ARGS__)BR; exit(0); }while(0);
#define SP scan_out<<' ';
#define TAB scan_out<<'\t';
#define BR scan_out<<'\n';
#define SPBR(w, n) scan_out<<(w + 1 == n ? '\n' : ' ');
#define ENDL scan_out<<std::endl;
#define FLUSH scan_out<<std::flush;
#define SHOW(dist) {std::cerr << #dist << "\t: " << (dist) << '\n';}
// utility
#define ALL(a) (a).begin(),(a).end()
#define FOR(w, a, n) for(int w=(a);w<(n);++w)
#define REP(w, n) FOR(w, 0, n)
#define RFOR(w, a, n) for(int w=(n)-1;w>=(a);--w)
#define RREP(w, n) RFOR(w, 0, n)
template<class S, class T, class U> bool IN(S a, T x, U b) { return a <= x && x < b; }
template<class T> inline bool CHMAX(T& a, const T b) { if (a < b) { a = b; return true; } return false; }
template<class T> inline bool CHMIN(T& a, const T b) { if (a > b) { a = b; return true; } return false; }
// test
template<class T> using V = std::vector<T>;
template<class T> using VV = V<V<T>>;
//
//std::ostream& operator<<(std::ostream& os, const __int128& t) {
//	if (t >= 1000000000000000000) {
//		os << (long long)(t / 1000000000000000000) << (long long)(t % 1000000000000000000);
//	}
//	else {
//		os << (long long)t;
//	}
//	return os;
//}
template<typename S, typename T>
std::ostream& operator<<(std::ostream& os, const std::pair<S, T>& p) {
	os << '(' << p.first << ',' << p.second << ')';
	return os;
}
template<typename T>
std::ostream& operator<<(std::ostream& os, const std::vector<T>& v) {
	os << '{';
	for (size_t i = 0; i < v.size(); ++i) os << v[i] << ((i + 1 < v.size()) ? ',' : '}');
	return os;
}
template<typename T>
std::ostream & operator<<(std::ostream & os, const std::set<T> & v) {
	os << '{';
	for (auto it = v.cbegin(); it != v.cend();) {
		os << *it << (++it == v.cend() ? '}' : ',');
	}
	return os;
}
template<typename S, typename T>
std::ostream& operator<<(std::ostream & os, const std::map<S, T> & m) {
	os << '{';
	for (auto it = m.cbegin(); it != m.cend();) { os << it->first << ':' << it->second; ++it; os << (it != m.cend() ? ',' : '}'); }
	return os;
}
template<typename T>
std::ostream& operator<<(std::ostream & os, std::queue<T> q) {
	os << '<';
	while (!q.empty()) { os << q.front(); q.pop(); os << (q.empty() ? '<' : ','); }
	return os;
}
template<typename T>
std::ostream& operator<<(std::ostream & os, std::stack<T> q) {
	os << '>';
	while (!q.empty()) { os << q.top(); q.pop(); os << (q.empty() ? ']' : ','); }
	return os;
}
namespace std {
	template<typename S, typename T> class numeric_limits<pair<S, T>> {
	public:
		static constexpr pair<S, T> max() noexcept { return { numeric_limits<S>::max(), numeric_limits<T>::max() }; }
		static constexpr pair<S, T> lowest() noexcept { return { numeric_limits<S>::lowest(), numeric_limits<T>::lowest() }; }
	};
}

// type/const
using i64 = long long;
using u64 = unsigned long long;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using PAIR = std::pair<int, int>;
constexpr int INFINT = (1 << 30) - 1;                    // 1.07x1[i]0^ 9
constexpr int INFINT_LIM = (1LL << 31) - 1;              // 2.15x1[i]0^ 9
constexpr long long INFLL = 1LL << 60;                          // 1.15x1[i]0^18
constexpr long long INFLL_LIM = (1LL << 62) - 1 + (1LL << 62);  // 9.22x1[i]0^18
constexpr double EPS = 1e-12;
constexpr int MOD = 998244353;
constexpr double PI = 3.141592653589793238462643383279;
template<class T, size_t N> void FILL(T(&a)[N], const T & val) { for (auto& x : a) x = val; }
template<class ARY, size_t N, size_t M, class T> void FILL(ARY(&a)[N][M], const T & val) { for (auto& b : a) FILL(b, val); }
template<class T> void FILL(std::vector<T> & a, const T & val) { for (auto& x : a) x = val; }
template<class ARY, class T> void FILL(std::vector<std::vector<ARY>> & a, const T & val) { for (auto& b : a) FILL(b, val); }
// ------------>8------------------------>8------------

class ModInt {
	friend std::istream& operator>>(std::istream& is, ModInt& obj);
private:
	inline ModInt& normUpper() { if (val >= MOD) val -= MOD; return *this; }
	inline ModInt& normLower() { if (val < 0) val += MOD; return *this; }
	inline ModInt& norm() { return normUpper(), normLower(); }
public:
	constexpr static int numOfPrecalc = 1000006;
	static ModInt inv[numOfPrecalc];
	int val;
	ModInt() : val(0) {}
	ModInt(int n) : val(n) { if (n >= MOD || n <= -MOD) n %= MOD; norm(); }
	ModInt(long long n) : ModInt((int)(n % MOD)) {}
	ModInt& operator=(const ModInt & r) { val = r.val; return *this; }
	ModInt operator+() const { return *this; }
	ModInt operator-() const { return ModInt(MOD - val); }
	ModInt& operator+=(const ModInt & r) { val += r.val; return normUpper(); }
	ModInt& operator-=(const ModInt & r) { val -= r.val; return normLower(); }
	ModInt& operator*=(const ModInt & r) { val = (long long)val * r.val % MOD; return *this; }
	ModInt& operator/=(ModInt r) { return *this *= (r.val < numOfPrecalc) ? inv[r.val] : (r ^= MOD - 2); }
	ModInt & operator^=(int p) {
		ModInt t(*this); *this = 1;
		for (; p; p >>= 1, t *= t) if (p & 1) * this *= t;
		return *this;
	}
	const ModInt operator+(const ModInt & r) const { return ModInt(*this) += r; }
	const ModInt operator-(const ModInt & r) const { return ModInt(*this) -= r; }
	const ModInt operator*(const ModInt & r) const { return ModInt(*this) *= r; }
	const ModInt operator/(const ModInt & r) const { return ModInt(*this) /= r; }
	const ModInt operator^(int p) const { return ModInt(*this) ^= p; }
};
const ModInt operator+(int l, const ModInt & r) { return ModInt(l) += r; }
const ModInt operator-(int l, const ModInt & r) { return ModInt(l) -= r; }
const ModInt operator*(int l, const ModInt & r) { return ModInt(l) *= r; }
const ModInt operator/(int l, const ModInt & r) { return ModInt(l) /= r; }

std::ostream& operator<<(std::ostream & os, const ModInt & obj) { return os << obj.val; }
/* friend */ std::istream& operator>>(std::istream & is, ModInt & obj) {
	is >> obj.val; obj.norm();
	return is;
}
ModInt ModInt::inv[ModInt::numOfPrecalc];
struct Init_ModInt {
	Init_ModInt() {
		ModInt::inv[1] = 1;
		for (int i = 2; i < ModInt::numOfPrecalc; ++i) ModInt::inv[i] = (MOD - MOD / i) * ModInt::inv[MOD % i];
	}
} _init_modint;
/** ModInt **/

ModInt dp[202][202][202];
ModInt calc1(int n, int k) {
	REP(j1, k) REP(j2, k) if (j1 != j2) dp[2][j1][j2] = 1;
	FOR(i, 2, n) REP(j1, k) REP(j2, k) if (dp[i][j1][j2].val != 0) {
		if (j1 < j2) {
			REP(x, j2) if (x != j1) dp[i + 1][j2][x] += dp[i][j1][j2];
		}
		else {
			FOR(x, j2 + 1, k) if (x != j1) dp[i + 1][j2][x] += dp[i][j1][j2];
		}
	}
	ModInt res = 0;
	REP(j1, k) REP(j2, k) res += dp[n][j1][j2];
	return res;
}
ModInt calc2(int n, int k) {
	ModInt ans = 0;
	REP(i, n - 1) REP(j1, k) REP(j2, k) {
		ans += j1 * dp[i + 2][j1][j2] * dp[n - i][j2][j1] * (i == 0 ? 2 : 1);
	}
	return ans;
}

signed main() {
	INIT;

	VAR(int, n, k);
	OUT(calc1(n, k))SP OUT(calc2(n, k))BR;

	return 0;
}
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