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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#767592#9479. And DNAK8HeAC ✓1ms3960kbC++143.0kb2024-11-20 21:21:522024-11-20 21:21:52

Judging History

你现在查看的是最新测评结果

  • [2024-11-20 21:21:52]
  • 评测
  • 测评结果:AC
  • 用时:1ms
  • 内存:3960kb
  • [2024-11-20 21:21:52]
  • 提交

answer

#include <bits/stdc++.h>
#define _for(i, a, b) for (int i = a; i <= b; ++i)
#define for_(i, a, b) for (int i = a; i >= b; --i)
#define far(i, vec) for (auto i : vec)
#define bdmd int mid = (l + r) >> 1
typedef long double ldb;
typedef long long ll;
typedef double db;
typedef std::pair <int, int> pii;
typedef std::pair <ll, ll> pll;
const int N = 1e5 + 10, P = 998244353;
namespace IO {
	int rnt () {
		int x = 0, w = 1; char c = getchar ();
		while (!isdigit (c)) { if (c == '-') w = -1; c = getchar (); }
		while (isdigit (c)) x = (x << 3) + (x << 1) + (c ^ 48), c = getchar ();
		return x * w;
	}
}
namespace MATRIX {
	template <const int N, const int M, typename T = int, class C1 = std::plus <T>, class C2 = std::multiplies <T> >
	class Matrix {
	private:
		std::array <std::array <T, M>, N> a;

	public:
		Matrix (T val = 0) { far (&b, a) b.fill (val); }
		Matrix (std::array <std::array <T, M>, N> a) : a (a) {}
		std::array <T, M>& operator [] (int i) { return a[i]; }
		void Print (int n = N, int m = M) {
			_for (i, 0, n - 1) {
				_for (j, 0, m - 1)
					printf ("%d ", a[i][j]);
				puts ("");
			}
			puts ("");
			return;
		}
	};
	template <const int N, const int K, const int M, typename T = int, class C1 = std::plus <T>, class C2 = std::multiplies <T>>
	Matrix <N, M, T, C1, C2> operator * (Matrix <N, K, T, C1, C2> A, Matrix <K, M, T, C1, C2> B) {
		Matrix <N, M, T, C1, C2> C;
		_for (i, 0, N - 1) _for (k, 0, K - 1) _for (j, 0, M - 1)
			C[i][j] = C1 () (C[i][j], C2 () (A[i][k], B[k][j]));
		return C;
	}
	template <const int N, typename T, typename C1, typename C2>
	void IMat (Matrix <N, N, T, C1, C2>& I) {
		_for (i, 0, N - 1) {
			_for (j, 0, N - 1)
				I[i][j] = 0;
			I[i][i] = 1;
		}
		return;
	}
	template <const int N, typename T = int, class C1 = std::plus <T>, class C2 = std::multiplies <T>, typename KT>
	Matrix <N, N, T, C1, C2> operator ^ (Matrix <N, N, T, C1, C2> a, KT K) {
		Matrix <N, N, T, C1, C2> ans; IMat (ans);
		for (; K; a = a * a, K >>= 1)
			if (K & 1) ans = ans * a;
		return ans;
	}
    template <typename T> class PlusMod { public: T operator () (T a, T b) { return (a + b) % P; }};
	template <typename T> class MultMod { public: T operator () (T a, T b) { return 1ll * a * b % P; }};
}
namespace SOLVE {
	using namespace IO;
	using namespace MATRIX;
	typedef Matrix <3, 3, int, PlusMod <int>, MultMod <int> > Mat4;
	int n, m, F[31][2], ans;
	void In () {
		n = rnt (), m = rnt ();
		return;
	}
	void Solve () {
		Mat4 A (0);
		A[0][1] = 1, A[1][0] = 1;
		A[0][2] = 1, A[2][1] = 1;
		A = A ^ n;
		int S = (0ll + A[0][0] + A[1][1] + A[2][2]) % P;
		if (m & 1) F[0][0] = S, F[0][1] = 0;
		else F[0][0] = F[0][1] = 1;
		_for (b, 1, 30) {
			int k = (m >> b) & 1;
			F[b][k] = F[b - 1][k];
			F[b][k ^ 1] = (F[b - 1][k] + 1ll * F[b - 1][k ^ 1] * S) % P;
		}
		return;
	}
	void Out () {
		printf ("%d\n", F[30][0]);
		return;
	}
}
int main () {
	SOLVE::In ();
	SOLVE::Solve ();
	SOLVE::Out ();
	return 0;
} /*

*/

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3832kb

input:

3 2

output:

4

result:

ok "4"

Test #2:

score: 0
Accepted
time: 1ms
memory: 3832kb

input:

3 0

output:

1

result:

ok "1"

Test #3:

score: 0
Accepted
time: 1ms
memory: 3960kb

input:

100 100

output:

343406454

result:

ok "343406454"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3836kb

input:

686579306 119540831

output:

260602195

result:

ok "260602195"

Test #5:

score: 0
Accepted
time: 1ms
memory: 3836kb

input:

26855095 796233790

output:

492736984

result:

ok "492736984"

Test #6:

score: 0
Accepted
time: 1ms
memory: 3836kb

input:

295310488 262950628

output:

503008241

result:

ok "503008241"

Test #7:

score: 0
Accepted
time: 1ms
memory: 3840kb

input:

239670714 149827706

output:

994702969

result:

ok "994702969"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3832kb

input:

790779949 110053353

output:

898252188

result:

ok "898252188"

Test #9:

score: 0
Accepted
time: 1ms
memory: 3816kb

input:

726600542 795285932

output:

183726777

result:

ok "183726777"

Test #10:

score: 0
Accepted
time: 1ms
memory: 3776kb

input:

957970519 585582861

output:

298814018

result:

ok "298814018"

Test #11:

score: 0
Accepted
time: 1ms
memory: 3892kb

input:

93349859 634036506

output:

110693443

result:

ok "110693443"

Test #12:

score: 0
Accepted
time: 0ms
memory: 3768kb

input:

453035113 34126396

output:

306244220

result:

ok "306244220"

Test #13:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

31994526 100604502

output:

930620701

result:

ok "930620701"

Test #14:

score: 0
Accepted
time: 0ms
memory: 3788kb

input:

234760741 249817734

output:

440195858

result:

ok "440195858"

Test #15:

score: 0
Accepted
time: 0ms
memory: 3828kb

input:

542621111 646412689

output:

207377992

result:

ok "207377992"

Test #16:

score: 0
Accepted
time: 0ms
memory: 3844kb

input:

28492783 602632297

output:

65234506

result:

ok "65234506"

Test #17:

score: 0
Accepted
time: 0ms
memory: 3772kb

input:

213500301 768820204

output:

540205113

result:

ok "540205113"

Test #18:

score: 0
Accepted
time: 0ms
memory: 3844kb

input:

697808101 753041955

output:

93561295

result:

ok "93561295"

Test #19:

score: 0
Accepted
time: 0ms
memory: 3776kb

input:

585126464 450455977

output:

91109717

result:

ok "91109717"

Test #20:

score: 0
Accepted
time: 0ms
memory: 3844kb

input:

236696315 482334538

output:

925575199

result:

ok "925575199"

Test #21:

score: 0
Accepted
time: 0ms
memory: 3956kb

input:

632719214 298704996

output:

358926097

result:

ok "358926097"

Test #22:

score: 0
Accepted
time: 0ms
memory: 3832kb

input:

869119333 933404114

output:

318501108

result:

ok "318501108"

Test #23:

score: 0
Accepted
time: 0ms
memory: 3836kb

input:

6977994 814763202

output:

585332987

result:

ok "585332987"

Test #24:

score: 0
Accepted
time: 0ms
memory: 3896kb

input:

3 1

output:

3

result:

ok "3"

Test #25:

score: 0
Accepted
time: 0ms
memory: 3828kb

input:

3 1000000000

output:

279679226

result:

ok "279679226"

Test #26:

score: 0
Accepted
time: 0ms
memory: 3820kb

input:

4 0

output:

1

result:

ok "1"

Test #27:

score: 0
Accepted
time: 0ms
memory: 3844kb

input:

4 1

output:

2

result:

ok "2"

Test #28:

score: 0
Accepted
time: 0ms
memory: 3844kb

input:

4 1000000000

output:

1755648

result:

ok "1755648"

Test #29:

score: 0
Accepted
time: 1ms
memory: 3776kb

input:

1000000000 0

output:

1

result:

ok "1"

Test #30:

score: 0
Accepted
time: 0ms
memory: 3844kb

input:

1000000000 1

output:

696798313

result:

ok "696798313"

Test #31:

score: 0
Accepted
time: 1ms
memory: 3840kb

input:

1000000000 1000000000

output:

703786301

result:

ok "703786301"

Extra Test:

score: 0
Extra Test Passed