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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#769019#9479. And DNAAllHailLelouchAC ✓0ms3808kbC++14978b2024-11-21 15:47:102024-11-21 15:47:10

Judging History

你现在查看的是最新测评结果

  • [2024-11-21 15:47:10]
  • 评测
  • 测评结果:AC
  • 用时:0ms
  • 内存:3808kb
  • [2024-11-21 15:47:10]
  • 提交

answer

#include <bits/stdc++.h>

using i64 = long long;

constexpr int P = 998244353;

typedef std::array<std::array<i64, 3>, 3> Matrix;

Matrix operator *(const Matrix &a, Matrix &b) {
	Matrix c{0, 0, 0, 0, 0, 0, 0, 0, 0};
	for (auto k : {0, 1, 2}) {
		for (auto i : {0, 1, 2}) {
			for (auto j : {0, 1, 2}) {
				c[i][j] = (c[i][j] + a[i][k] * b[k][j]) % P;
			}
		}
	}
	return c;
}

int main() {
	std::cin.tie(nullptr) -> sync_with_stdio(false);
	int n, m;
	std::cin >> n >> m;
	
	Matrix I{1, 0, 0, 0, 1, 0, 0, 0, 1};
	Matrix B{0, 1, 1, 1, 0, 0, 0, 1, 0};

	for (int k = n; k; k /= 2, B = B * B) if (k & 1) I = I * B;
	i64 Z = (I[0][0] + I[1][1] + I[2][2]) % P;

	std::unordered_map<int, i64> dp;
	auto f = [&](auto f, int x) -> i64 {
		if (x <= 1) return x ? Z : 1;
		if (dp.count(x)) return dp[x];
		if (x & 1) return dp[x] = Z * f(f, x / 2) % P;
		return dp[x] = (f(f, x / 2) + f(f, x / 2 - 1)) % P;
	};
	std::cout << f(f, m);
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3520kb

input:

3 2

output:

4

result:

ok "4"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3520kb

input:

3 0

output:

1

result:

ok "1"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3808kb

input:

100 100

output:

343406454

result:

ok "343406454"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3560kb

input:

686579306 119540831

output:

260602195

result:

ok "260602195"

Test #5:

score: 0
Accepted
time: 0ms
memory: 3516kb

input:

26855095 796233790

output:

492736984

result:

ok "492736984"

Test #6:

score: 0
Accepted
time: 0ms
memory: 3524kb

input:

295310488 262950628

output:

503008241

result:

ok "503008241"

Test #7:

score: 0
Accepted
time: 0ms
memory: 3736kb

input:

239670714 149827706

output:

994702969

result:

ok "994702969"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3760kb

input:

790779949 110053353

output:

898252188

result:

ok "898252188"

Test #9:

score: 0
Accepted
time: 0ms
memory: 3520kb

input:

726600542 795285932

output:

183726777

result:

ok "183726777"

Test #10:

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

input:

957970519 585582861

output:

298814018

result:

ok "298814018"

Test #11:

score: 0
Accepted
time: 0ms
memory: 3732kb

input:

93349859 634036506

output:

110693443

result:

ok "110693443"

Test #12:

score: 0
Accepted
time: 0ms
memory: 3556kb

input:

453035113 34126396

output:

306244220

result:

ok "306244220"

Test #13:

score: 0
Accepted
time: 0ms
memory: 3444kb

input:

31994526 100604502

output:

930620701

result:

ok "930620701"

Test #14:

score: 0
Accepted
time: 0ms
memory: 3516kb

input:

234760741 249817734

output:

440195858

result:

ok "440195858"

Test #15:

score: 0
Accepted
time: 0ms
memory: 3580kb

input:

542621111 646412689

output:

207377992

result:

ok "207377992"

Test #16:

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

input:

28492783 602632297

output:

65234506

result:

ok "65234506"

Test #17:

score: 0
Accepted
time: 0ms
memory: 3584kb

input:

213500301 768820204

output:

540205113

result:

ok "540205113"

Test #18:

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

input:

697808101 753041955

output:

93561295

result:

ok "93561295"

Test #19:

score: 0
Accepted
time: 0ms
memory: 3556kb

input:

585126464 450455977

output:

91109717

result:

ok "91109717"

Test #20:

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

input:

236696315 482334538

output:

925575199

result:

ok "925575199"

Test #21:

score: 0
Accepted
time: 0ms
memory: 3508kb

input:

632719214 298704996

output:

358926097

result:

ok "358926097"

Test #22:

score: 0
Accepted
time: 0ms
memory: 3576kb

input:

869119333 933404114

output:

318501108

result:

ok "318501108"

Test #23:

score: 0
Accepted
time: 0ms
memory: 3560kb

input:

6977994 814763202

output:

585332987

result:

ok "585332987"

Test #24:

score: 0
Accepted
time: 0ms
memory: 3580kb

input:

3 1

output:

3

result:

ok "3"

Test #25:

score: 0
Accepted
time: 0ms
memory: 3616kb

input:

3 1000000000

output:

279679226

result:

ok "279679226"

Test #26:

score: 0
Accepted
time: 0ms
memory: 3804kb

input:

4 0

output:

1

result:

ok "1"

Test #27:

score: 0
Accepted
time: 0ms
memory: 3808kb

input:

4 1

output:

2

result:

ok "2"

Test #28:

score: 0
Accepted
time: 0ms
memory: 3732kb

input:

4 1000000000

output:

1755648

result:

ok "1755648"

Test #29:

score: 0
Accepted
time: 0ms
memory: 3616kb

input:

1000000000 0

output:

1

result:

ok "1"

Test #30:

score: 0
Accepted
time: 0ms
memory: 3584kb

input:

1000000000 1

output:

696798313

result:

ok "696798313"

Test #31:

score: 0
Accepted
time: 0ms
memory: 3764kb

input:

1000000000 1000000000

output:

703786301

result:

ok "703786301"

Extra Test:

score: 0
Extra Test Passed