結果

問題 No.1304 あなたは基本が何か知っていますか？私は知っています．
ユーザー FF256grhyFF256grhy
提出日時 2023-08-24 08:18:50
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 6 ms / 2,000 ms
コード長 9,985 bytes
コンパイル時間 2,459 ms
コンパイル使用メモリ 230,724 KB
実行使用メモリ 6,944 KB
最終ジャッジ日時 2024-06-12 18:18:12
合計ジャッジ時間 18,268 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge2
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
6,940 KB
testcase_02 AC 2 ms
6,940 KB
testcase_03 AC 3 ms
6,944 KB
testcase_04 AC 6 ms
6,944 KB
testcase_05 AC 3 ms
6,940 KB
testcase_06 AC 2 ms
6,944 KB
testcase_07 AC 5 ms
6,940 KB
testcase_08 AC 2 ms
6,944 KB
testcase_09 AC 4 ms
6,944 KB
testcase_10 AC 4 ms
6,944 KB
testcase_11 AC 4 ms
6,940 KB
testcase_12 AC 4 ms
6,940 KB
testcase_13 AC 3 ms
6,944 KB
testcase_14 AC 4 ms
6,940 KB
testcase_15 AC 4 ms
6,944 KB
testcase_16 AC 4 ms
6,940 KB
testcase_17 AC 1 ms
6,940 KB
testcase_18 AC 4 ms
6,944 KB
testcase_19 AC 3 ms
6,940 KB
testcase_20 AC 2 ms
6,940 KB
testcase_21 AC 2 ms
6,944 KB
testcase_22 AC 4 ms
6,944 KB
testcase_23 AC 5 ms
6,944 KB
testcase_24 AC 6 ms
6,944 KB
testcase_25 AC 3 ms
6,940 KB
testcase_26 AC 1 ms
6,940 KB
testcase_27 AC 2 ms
6,940 KB
testcase_28 AC 4 ms
6,940 KB
testcase_29 AC 2 ms
6,940 KB
testcase_30 AC 1 ms
6,944 KB
testcase_31 AC 2 ms
6,940 KB
testcase_32 AC 2 ms
6,944 KB
testcase_33 AC 3 ms
6,940 KB
testcase_34 AC 2 ms
6,944 KB
testcase_35 AC 3 ms
6,940 KB
testcase_36 AC 2 ms
6,940 KB
testcase_37 AC 3 ms
6,944 KB
testcase_38 AC 2 ms
6,940 KB
testcase_39 AC 1 ms
6,940 KB
testcase_40 AC 3 ms
6,940 KB
testcase_41 AC 2 ms
6,940 KB
testcase_42 AC 4 ms
6,944 KB
testcase_43 AC 3 ms
6,944 KB
testcase_44 AC 2 ms
6,940 KB
04_evil_A_01 RE -
04_evil_A_02 RE -
04_evil_A_03 RE -
04_evil_A_04 RE -
04_evil_A_05 RE -
04_evil_A_06 RE -
04_evil_A_07 RE -
04_evil_A_08 RE -
04_evil_A_09 RE -
04_evil_A_10 RE -
05_evil_B_01 MLE -
05_evil_B_02 MLE -
05_evil_B_03 MLE -
05_evil_B_04 MLE -
05_evil_B_05 MLE -
05_evil_B_06 MLE -
05_evil_B_07 MLE -
05_evil_B_08 MLE -
05_evil_B_09 MLE -
05_evil_B_10 MLE -
06_evil_C_01 RE -
06_evil_C_02 RE -
06_evil_C_03 RE -
06_evil_C_04 RE -
06_evil_C_05 RE -
06_evil_C_06 RE -
06_evil_C_07 RE -
06_evil_C_08 RE -
06_evil_C_09 RE -
06_evil_C_10 AC 2 ms
6,816 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 # 

#include <bits/stdc++.h>
using namespace std;
#define incII(i, l, r) for(decay_t<decltype(r)> i = (l)    ; i <= (r); i++)
#define incIX(i, l, r) for(decay_t<decltype(r)> i = (l)    ; i <  (r); i++)
#define incXI(i, l, r) for(decay_t<decltype(r)> i = (l) + 1; i <= (r); i++)
#define incXX(i, l, r) for(decay_t<decltype(r)> i = (l) + 1; i <  (r); i++)
#define decII(i, l, r) for(decay_t<decltype(r)> i = (r)    ; i >= (l); i--)
#define decIX(i, l, r) for(decay_t<decltype(r)> i = (r) - 1; i >= (l); i--)
#define decXI(i, l, r) for(decay_t<decltype(r)> i = (r)    ; i >  (l); i--)
#define decXX(i, l, r) for(decay_t<decltype(r)> i = (r) - 1; i >  (l); i--)
#define inc(i, n)  incIX(i, 0, n)
#define dec(i, n)  decIX(i, 0, n)
#define inc1(i, n) incII(i, 1, n)
#define dec1(i, n) decII(i, 1, n)
auto inII = [](auto a, auto l, auto r) -> bool { return (l <= a && a <= r); };
auto inIX = [](auto a, auto l, auto r) -> bool { return (l <= a && a <  r); };
auto inXI = [](auto a, auto l, auto r) -> bool { return (l <  a && a <= r); };
auto inXX = [](auto a, auto l, auto r) -> bool { return (l <  a && a <  r); };
auto setmin   = [](auto & a, auto b) -> bool { return (b <  a ? a = b, true : false); };
auto setmax   = [](auto & a, auto b) -> bool { return (b >  a ? a = b, true : false); };
auto setmineq = [](auto & a, auto b) -> bool { return (b <= a ? a = b, true : false); };
auto setmaxeq = [](auto & a, auto b) -> bool { return (b >= a ? a = b, true : false); };
using LL = long long int;
using LD = long double;
#define PB push_back
#define EB emplace_back
#define MP make_pair
#define MT make_tuple
#define FI first
#define SE second
#define FR front()
#define BA back()
#define ALL(a) begin(a), end(a)
#define RALL(a) rbegin(a), rend(a)
#define RV(a) reverse(ALL(a))
#define ST(a) sort(ALL(a))
#define RST(a) sort(RALL(a))
#define SC static_cast
#define SI(a) SC<int>(a.size())
#define SL(a) SC<LL>(a.size())
#define RF(e, ...) for(auto && e: __VA_ARGS__)
#define SF(a, ...) for(auto && [__VA_ARGS__]: a)
#define until(...) while(not(__VA_ARGS__))
#define if_not(...) if(not(__VA_ARGS__))
#define ef else if
#define UR assert(false)
template<typename A>             istream & operator>>(istream & is, vector<A>          & v);
template<typename A>             ostream & operator<<(ostream & os, vector<A>    const & v);
template<typename A, size_t N>   istream & operator>>(istream & is, array<A, N>        & a);
template<typename A, size_t N>   ostream & operator<<(ostream & os, array<A, N>  const & a);
template<typename A, typename B> istream & operator>>(istream & is, pair<A, B>         & p);
template<typename A, typename B> ostream & operator<<(ostream & os, pair<A, B>   const & p);
template<typename ... A>         istream & operator>>(istream & is, tuple<A ...>       & t);
template<typename ... A>         ostream & operator<<(ostream & os, tuple<A ...> const & t);
template<int I = 0, typename T> void tin_ (istream & is, T       & t) { if constexpr(I < tuple_size<T>::value) { is >> get<I>(t); tin_<I + 1>(is, t); } }
template<int I = 0, typename T> void tout_(ostream & os, T const & t) { if constexpr(I < tuple_size<T>::value) { if(I != 0) { os << " "; } os << get<I>(t); tout_<I + 1>(os, t); } }
template<typename A>             istream & operator>>(istream & is, vector<A>          & v) { for(auto && e: v) { is >> e; } return is; }
template<typename A>             ostream & operator<<(ostream & os, vector<A>    const & v) { string ss; for(auto && e: v) { os << ss << e; ss = " "; } return os; }
template<typename A, size_t N>   istream & operator>>(istream & is, array<A, N>        & a) { for(auto && e: a) { is >> e; } return is; }
template<typename A, size_t N>   ostream & operator<<(ostream & os, array<A, N>  const & a) { string ss; for(auto && e: a) { os << ss << e; ss = " "; } return os; }
template<typename A, typename B> istream & operator>>(istream & is, pair<A, B>         & p) { return is >> p.first >> p.second; }
template<typename A, typename B> ostream & operator<<(ostream & os, pair<A, B>   const & p) { return os << p.first << " " << p.second; }
template<typename ... A>         istream & operator>>(istream & is, tuple<A ...>       & t) { tin_ (is, t); return is; }
template<typename ... A>         ostream & operator<<(ostream & os, tuple<A ...> const & t) { tout_(os, t); return os; }
auto * IS = & cin;
auto * OS = & cout;
template<typename ... A> void in(A & ... a) { (* IS >> ... >> a); }
#define IN(...) __VA_ARGS__; in(__VA_ARGS__)
template<typename A                > auto make_v(A a) { return a; }
template<typename A, typename ... M> auto make_v(A a, int n, M ... m) { return vector(n, make_v(a, m ...)); }
template<typename A, typename ... N> auto read_v(N ... n) { auto a = make_v(A { }, n ...); in(a); return a; }
void                                      out_([[maybe_unused]] string const & s) { }
template<typename A                > void out_([[maybe_unused]] string const & s, A const & a) { * OS << a; }
template<typename A, typename ... B> void out_(                 string const & s, A const & a, B const & ... b) { * OS << a << s; out_(s, b ...); }
auto outF  = [](string const & s, string const & t, auto const & ... a) { out_(s, a ...); * OS << t << flush; };
auto outN  = [](auto const & ... a) { outF(""  , ""  , a ...); };
auto outS  = [](auto const & ... a) { outF(" " , " " , a ...); };
auto outL  = [](auto const & ... a) { outF("\n", "\n", a ...); };
auto outSN = [](auto const & ... a) { outF(" " , ""  , a ...); };
auto outNL = [](auto const & ... a) { outF(""  , "\n", a ...); };
auto outSL = [](auto const & ... a) { outF(" " , "\n", a ...); };
auto out   = outSL;
template<typename A                > void disp_(A const & a) { * OS << a; }
template<typename A, typename ... T> void disp_(A const & a, string const & s, T const & ... t) { string ss; for(auto && e: a) { * OS << ss; ss = s; disp_(e, t ...); } }
auto dispI = [](auto const & a, auto const & s, auto const & ... t) { disp_(a, t ...); * OS << s << flush; };
auto dispT = [](auto const & a, auto const & s, auto const & ... t) { for(auto && e: a) { disp_(e, t ...); * OS << s; } * OS << flush; };
auto dispL = [](auto const & a,                 auto const & ... t) { dispT(a, "\n", t ...); };
struct OS_init { OS_init() { * OS << boolalpha << fixed << setprecision(20); } } os_init_;

// ---- ----

template<LL M> class ModInt {
private:
	LL v;
	pair<LL, LL> ext_gcd(LL a, LL b) {
		if(b == 0) { assert(a == 1); return { 1, 0 }; }
		auto p = ext_gcd(b, a % b);
		return { p.SE, p.FI - (a / b) * p.SE };
	}
public:
	ModInt(LL vv = 0) { v = vv; if(abs(v) >= M) { v %= M; } if(v < 0) { v += M; } }
	LL val() { return v; }
	static LL mod() { return M; }
	ModInt inv() { return ext_gcd(M, v).SE; }
	ModInt exp(LL b) {
		ModInt p = 1, a = v; if(b < 0) { a = a.inv(); b = -b; }
		while(b) { if(b & 1) { p *= a; } a *= a; b >>= 1; }
		return p;
	}
	friend bool      operator< (ModInt    a, ModInt   b) { return (a.v <  b.v); }
	friend bool      operator> (ModInt    a, ModInt   b) { return (a.v >  b.v); }
	friend bool      operator<=(ModInt    a, ModInt   b) { return (a.v <= b.v); }
	friend bool      operator>=(ModInt    a, ModInt   b) { return (a.v >= b.v); }
	friend bool      operator==(ModInt    a, ModInt   b) { return (a.v == b.v); }
	friend bool      operator!=(ModInt    a, ModInt   b) { return (a.v != b.v); }
	friend ModInt    operator+ (ModInt    a            ) { return ModInt(+a.v); }
	friend ModInt    operator- (ModInt    a            ) { return ModInt(-a.v); }
	friend ModInt    operator+ (ModInt    a, ModInt   b) { return ModInt(a.v + b.v); }
	friend ModInt    operator- (ModInt    a, ModInt   b) { return ModInt(a.v - b.v); }
	friend ModInt    operator* (ModInt    a, ModInt   b) { return ModInt(a.v * b.v); }
	friend ModInt    operator/ (ModInt    a, ModInt   b) { return a * b.inv(); }
	friend ModInt    operator^ (ModInt    a, LL       b) { return a.exp(b); }
	friend ModInt  & operator+=(ModInt  & a, ModInt   b) { return (a = a + b); }
	friend ModInt  & operator-=(ModInt  & a, ModInt   b) { return (a = a - b); }
	friend ModInt  & operator*=(ModInt  & a, ModInt   b) { return (a = a * b); }
	friend ModInt  & operator/=(ModInt  & a, ModInt   b) { return (a = a / b); }
	friend ModInt  & operator^=(ModInt  & a, LL       b) { return (a = a ^ b); }
	friend istream & operator>>(istream & s, ModInt & b) { s >> b.v; b = ModInt(b.v); return s; }
	friend ostream & operator<<(ostream & s, ModInt   b) { return (s << b.v); }
};

// ----

using MI = ModInt<998244353>;

#define UQnoS(v) v.erase(unique(ALL(v)), v.end())
#define UQ(v) sort(ALL(v)); UQnoS(v)

// make vector
template<typename T> T MV(T v) { return v; }
template<typename T, typename ... U> auto MV(T v, int a, U ... b) { return vector<decltype(MV(v, b ...))>(a, MV(v, b ...)); }

#define bit(b, i) (((b) >> (i)) & 1)
#define PC __builtin_popcountll
#define BL(a) (a ? 64 - __builtin_clzll(a) : 0)

int main() {
	const int M = 1 << 10;
	
	int IN(n, k, x, y);
	auto a = read_v<int>(k);
	y++;
	setmin(x, M);
	setmin(y, M);
	UQ(a);
	k = SI(a);
	
	if(n <= 6) {
		map<array<int, 2>, int> mp;
		inc(b, 1 << (n - 1)) {
			vector<int> v;
			dec(i, n) {
				if(bit(b, i) == 0) { v.PB(1); } else { v.BA++; }
			}
			array<int, 2> p = { 0, 0 };
			RF(e, v) { p[e % 2]++; }
			mp[p]++;
		} 
		
		auto dp = MV<MI>(0, n + 1, M);
		dp[0][0] = 1;
		inc(i, n) {
		inc(v, M) {
			inc(j, k) { dp[i + 1][v ^ a[j]] += dp[i][v]; }
		}
		}
		
		vector<MI> s(n + 1);
		inc(i, n + 1) {
		incIX(v, x, y) {
			s[i] += dp[i][v];
		}
		}
		
		MI ans = 0;
		SF(mp, p, c) {
			auto [x, y] = p;
			ans += (MI(k) ^ x) * s[y] * c * ((n - x - y) % 2 == 0 ? +1 : -1);
		}
		out(ans);
	} else {
		auto dp = MV<MI>(0, n + 1, k + 1, M);
		dp[0][k][0] = 1;
		inc(i, n) {
		inc(j, k + 1) {
		inc(v, M) {
			inc(jj, k) {
				if(jj == j) { continue; }
				dp[i + 1][jj][v ^ a[jj]] += dp[i][j][v];
			}
		}
		}
		}
		
		MI ans = 0;
		inc(j, k) {
		incIX(v, x, y) {
			ans += dp[n][j][v];
		}
		}
		out(ans);
	}
}
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