QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#765338#9479. And DNAkfgzsddAC ✓2ms3720kbC++141.2kb2024-11-20 13:56:232024-11-20 13:56:23

Judging History

你现在查看的是最新测评结果

  • [2024-11-20 13:56:23]
  • 评测
  • 测评结果:AC
  • 用时:2ms
  • 内存:3720kb
  • [2024-11-20 13:56:23]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define int long long
#define MOD 998244353
int n, m;
struct node {
	//01 10 11
	//010
	//101
	//011
	//110
	//a[0][1] = a[1][0] = a[0][2] = a[2][1] = 1;
	int a[3][3];
	node() {
		memset(a, 0, sizeof(a));
	}
	node operator*(const node &b) const {
		node res;
		for (int k = 0; k < 3; k++) {
			for (int i = 0; i < 3; i++) {
				for (int j = 0; j < 3; j++) {
					res.a[i][j] += a[i][k] * b.a[k][j] % MOD;
					res.a[i][j] %= MOD;
				}
			}
		}
		return res;
	}
} base, res;
node qpow(node x, int y) {
	node res;
	res.a[0][0] = res.a[1][1] = res.a[2][2] = 1;
	while (y) {
		if (y & 1) {
			res = res * x;
		}
		x = x * x;
		y >>= 1;
	}
	return res;
}
map<int, int> mp;
int dfs(int x) {
	if (!x) {
		return 1;
	}
	if (x == 1) {
		return (res.a[0][0] + res.a[1][1] + res.a[2][2]) % MOD;
	}
	if (mp.count(x)) {
		return mp[x];
	}
	if (x % 2 == 0) {
		return (dfs(x / 2) + dfs(x / 2 - 1)) % MOD;
	}
	int g = dfs(x / 2);
	return g * (res.a[0][0] + res.a[1][1] + res.a[2][2]) % MOD; 
}
signed main() {
	cin >> n >> m;
	base.a[0][1] = base.a[1][0] = base.a[0][2] = base.a[2][1] = 1;
	res = qpow(base, n);
	cout << dfs(m);
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3640kb

input:

3 2

output:

4

result:

ok "4"

Test #2:

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

input:

3 0

output:

1

result:

ok "1"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3636kb

input:

100 100

output:

343406454

result:

ok "343406454"

Test #4:

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

input:

686579306 119540831

output:

260602195

result:

ok "260602195"

Test #5:

score: 0
Accepted
time: 1ms
memory: 3708kb

input:

26855095 796233790

output:

492736984

result:

ok "492736984"

Test #6:

score: 0
Accepted
time: 1ms
memory: 3572kb

input:

295310488 262950628

output:

503008241

result:

ok "503008241"

Test #7:

score: 0
Accepted
time: 1ms
memory: 3636kb

input:

239670714 149827706

output:

994702969

result:

ok "994702969"

Test #8:

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

input:

790779949 110053353

output:

898252188

result:

ok "898252188"

Test #9:

score: 0
Accepted
time: 2ms
memory: 3640kb

input:

726600542 795285932

output:

183726777

result:

ok "183726777"

Test #10:

score: 0
Accepted
time: 1ms
memory: 3656kb

input:

957970519 585582861

output:

298814018

result:

ok "298814018"

Test #11:

score: 0
Accepted
time: 2ms
memory: 3524kb

input:

93349859 634036506

output:

110693443

result:

ok "110693443"

Test #12:

score: 0
Accepted
time: 0ms
memory: 3700kb

input:

453035113 34126396

output:

306244220

result:

ok "306244220"

Test #13:

score: 0
Accepted
time: 0ms
memory: 3644kb

input:

31994526 100604502

output:

930620701

result:

ok "930620701"

Test #14:

score: 0
Accepted
time: 1ms
memory: 3596kb

input:

234760741 249817734

output:

440195858

result:

ok "440195858"

Test #15:

score: 0
Accepted
time: 1ms
memory: 3524kb

input:

542621111 646412689

output:

207377992

result:

ok "207377992"

Test #16:

score: 0
Accepted
time: 1ms
memory: 3704kb

input:

28492783 602632297

output:

65234506

result:

ok "65234506"

Test #17:

score: 0
Accepted
time: 1ms
memory: 3600kb

input:

213500301 768820204

output:

540205113

result:

ok "540205113"

Test #18:

score: 0
Accepted
time: 1ms
memory: 3656kb

input:

697808101 753041955

output:

93561295

result:

ok "93561295"

Test #19:

score: 0
Accepted
time: 2ms
memory: 3700kb

input:

585126464 450455977

output:

91109717

result:

ok "91109717"

Test #20:

score: 0
Accepted
time: 1ms
memory: 3700kb

input:

236696315 482334538

output:

925575199

result:

ok "925575199"

Test #21:

score: 0
Accepted
time: 1ms
memory: 3648kb

input:

632719214 298704996

output:

358926097

result:

ok "358926097"

Test #22:

score: 0
Accepted
time: 2ms
memory: 3520kb

input:

869119333 933404114

output:

318501108

result:

ok "318501108"

Test #23:

score: 0
Accepted
time: 1ms
memory: 3720kb

input:

6977994 814763202

output:

585332987

result:

ok "585332987"

Test #24:

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

input:

3 1

output:

3

result:

ok "3"

Test #25:

score: 0
Accepted
time: 1ms
memory: 3720kb

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: 3516kb

input:

4 1

output:

2

result:

ok "2"

Test #28:

score: 0
Accepted
time: 1ms
memory: 3576kb

input:

4 1000000000

output:

1755648

result:

ok "1755648"

Test #29:

score: 0
Accepted
time: 0ms
memory: 3644kb

input:

1000000000 0

output:

1

result:

ok "1"

Test #30:

score: 0
Accepted
time: 0ms
memory: 3636kb

input:

1000000000 1

output:

696798313

result:

ok "696798313"

Test #31:

score: 0
Accepted
time: 1ms
memory: 3704kb

input:

1000000000 1000000000

output:

703786301

result:

ok "703786301"

Extra Test:

score: 0
Extra Test Passed