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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#765280#9479. And DNAhbbbbAC ✓1ms3724kbC++231.4kb2024-11-20 13:34:252024-11-20 13:34:28

Judging History

你现在查看的是最新测评结果

  • [2024-11-20 13:34:28]
  • 评测
  • 测评结果:AC
  • 用时:1ms
  • 内存:3724kb
  • [2024-11-20 13:34:25]
  • 提交

answer

#include <iostream>
#include <cstdio>
#include <algorithm>
#include <cmath>
#include <cstring>
#include <string>
#include <vector>
#include <set>
#include <map>
#include <array>
using namespace std;

using ll = long long;

constexpr ll MOD = 998244353ll;

int n, m;
map<int, ll> ans;

struct Matrix
{
	array<array<ll, 3>, 3> v;
	array<ll, 3>& operator[](const int& x)
	{
		return v[x];
	}
	friend Matrix operator*(Matrix a, Matrix b)
	{
		Matrix c;
		for (int i = 0; i < 3; i++)
		{
			for (int j = 0; j < 3; j++)
			{
				c[i][j] = 0;
				for (int k = 0; k < 3; k++) c[i][j] += a[i][k] * b[k][j];
				c[i][j] %= MOD;
			}
		}
		return c;
	}
	friend Matrix operator^(Matrix a, int b)
	{
		Matrix res = a, base = a;
		b--;
		while (b)
		{
			if (b & 1) res = res * base;
			base = base * base;
			b >>= 1;
		}
		return res;
	}
}mt, res;

ll t;

inline ll f(int x)
{
	if (ans.count(x)) return ans[x];
	if (!x)
	{
		return 1;
	}
	else if (x == 1) return t;
	else
	{
		ll ret = ((x & 1) ? t * f(x / 2) % MOD : (f(x / 2) + f(x / 2 - 1)) % MOD);
		return (ans[x] = ret);
	}
}

int main()
{
	ios::sync_with_stdio(0), cin.tie(0);
	cin >> n >> m;
	mt[0][2] = mt[1][0] = mt[1][2] = mt[2][1] = 1;
	res[0][0] = 3, res[0][1] = 0, res[0][2] = 2;
	res = res * (mt ^ (n - 2));
	t = res[0][2];
	cout << f(m) << "\n";
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3600kb

input:

3 2

output:

4

result:

ok "4"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3668kb

input:

3 0

output:

1

result:

ok "1"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3672kb

input:

100 100

output:

343406454

result:

ok "343406454"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3668kb

input:

686579306 119540831

output:

260602195

result:

ok "260602195"

Test #5:

score: 0
Accepted
time: 0ms
memory: 3720kb

input:

26855095 796233790

output:

492736984

result:

ok "492736984"

Test #6:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

295310488 262950628

output:

503008241

result:

ok "503008241"

Test #7:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

239670714 149827706

output:

994702969

result:

ok "994702969"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3668kb

input:

790779949 110053353

output:

898252188

result:

ok "898252188"

Test #9:

score: 0
Accepted
time: 0ms
memory: 3656kb

input:

726600542 795285932

output:

183726777

result:

ok "183726777"

Test #10:

score: 0
Accepted
time: 0ms
memory: 3676kb

input:

957970519 585582861

output:

298814018

result:

ok "298814018"

Test #11:

score: 0
Accepted
time: 0ms
memory: 3600kb

input:

93349859 634036506

output:

110693443

result:

ok "110693443"

Test #12:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

453035113 34126396

output:

306244220

result:

ok "306244220"

Test #13:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

31994526 100604502

output:

930620701

result:

ok "930620701"

Test #14:

score: 0
Accepted
time: 0ms
memory: 3656kb

input:

234760741 249817734

output:

440195858

result:

ok "440195858"

Test #15:

score: 0
Accepted
time: 0ms
memory: 3724kb

input:

542621111 646412689

output:

207377992

result:

ok "207377992"

Test #16:

score: 0
Accepted
time: 0ms
memory: 3604kb

input:

28492783 602632297

output:

65234506

result:

ok "65234506"

Test #17:

score: 0
Accepted
time: 0ms
memory: 3596kb

input:

213500301 768820204

output:

540205113

result:

ok "540205113"

Test #18:

score: 0
Accepted
time: 0ms
memory: 3672kb

input:

697808101 753041955

output:

93561295

result:

ok "93561295"

Test #19:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

585126464 450455977

output:

91109717

result:

ok "91109717"

Test #20:

score: 0
Accepted
time: 0ms
memory: 3668kb

input:

236696315 482334538

output:

925575199

result:

ok "925575199"

Test #21:

score: 0
Accepted
time: 0ms
memory: 3668kb

input:

632719214 298704996

output:

358926097

result:

ok "358926097"

Test #22:

score: 0
Accepted
time: 0ms
memory: 3640kb

input:

869119333 933404114

output:

318501108

result:

ok "318501108"

Test #23:

score: 0
Accepted
time: 0ms
memory: 3604kb

input:

6977994 814763202

output:

585332987

result:

ok "585332987"

Test #24:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

3 1

output:

3

result:

ok "3"

Test #25:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

3 1000000000

output:

279679226

result:

ok "279679226"

Test #26:

score: 0
Accepted
time: 0ms
memory: 3640kb

input:

4 0

output:

1

result:

ok "1"

Test #27:

score: 0
Accepted
time: 0ms
memory: 3656kb

input:

4 1

output:

2

result:

ok "2"

Test #28:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

4 1000000000

output:

1755648

result:

ok "1755648"

Test #29:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

1000000000 0

output:

1

result:

ok "1"

Test #30:

score: 0
Accepted
time: 0ms
memory: 3652kb

input:

1000000000 1

output:

696798313

result:

ok "696798313"

Test #31:

score: 0
Accepted
time: 0ms
memory: 3724kb

input:

1000000000 1000000000

output:

703786301

result:

ok "703786301"

Extra Test:

score: 0
Extra Test Passed