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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#764781#9479. And DNAHildaHuAC ✓0ms3720kbC++141.1kb2024-11-20 10:39:152024-11-20 10:39:17

Judging History

你现在查看的是最新测评结果

  • [2024-11-20 10:39:17]
  • 评测
  • 测评结果:AC
  • 用时:0ms
  • 内存:3720kb
  • [2024-11-20 10:39:15]
  • 提交

answer

#include <bits/stdc++.h>
#define int long long
using namespace std;

const int N = 100, mod = 998244353;
int n, m, num, f[N][2];
void add(int &x, int y) {x = (x + y) % mod; }
struct matrix{
	int g[3][3];
	matrix() {memset(g, 0, sizeof(g)); }
	matrix operator * (const matrix &y) const {
		matrix ret;
		for (int i=0; i<3; ++i)
			for (int k=0; k<3; ++k)
				for (int j=0; j<3; ++j)
					add(ret.g[i][j], g[i][k] * y.g[k][j]);
		return ret;
	}
}h;
matrix power(matrix x, int y) {
	matrix ret;
	for (int i=0; i<3; ++i) ret.g[i][i] = 1;
	while (y) {
		if (y & 1) ret = ret * x;
		x = x * x, y >>= 1;
	}
	return ret;
}

void pre() {
	h.g[0][1] = h.g[0][2] = h.g[1][0] = h.g[2][1] = 1;
	h = power(h, n);
	for (int i=0; i<3; ++i)
		num = (num + h.g[i][i]) % mod;
}

signed main() {
	cin >> n >> m;
	pre();
	f[0][0] = 1;
	for (int i=0; i<=32; ++i) {
		if (!((m >> i) & 1)) {
			add(f[i + 1][0], f[i][0]), add(f[i + 1][1], f[i][0]);
			add(f[i + 1][1], f[i][1] * num);
		} else {
			add(f[i + 1][0], f[i][1]), add(f[i + 1][1], f[i][1]);
			add(f[i + 1][0], f[i][0] * num); 
		}
	}
	cout << f[32][0] << "\n";
	return 0;
}

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 3620kb

input:

3 2

output:

4

result:

ok "4"

Test #2:

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

input:

3 0

output:

1

result:

ok "1"

Test #3:

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

input:

100 100

output:

343406454

result:

ok "343406454"

Test #4:

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

input:

686579306 119540831

output:

260602195

result:

ok "260602195"

Test #5:

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

input:

26855095 796233790

output:

492736984

result:

ok "492736984"

Test #6:

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

input:

295310488 262950628

output:

503008241

result:

ok "503008241"

Test #7:

score: 0
Accepted
time: 0ms
memory: 3716kb

input:

239670714 149827706

output:

994702969

result:

ok "994702969"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3716kb

input:

790779949 110053353

output:

898252188

result:

ok "898252188"

Test #9:

score: 0
Accepted
time: 0ms
memory: 3632kb

input:

726600542 795285932

output:

183726777

result:

ok "183726777"

Test #10:

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

input:

957970519 585582861

output:

298814018

result:

ok "298814018"

Test #11:

score: 0
Accepted
time: 0ms
memory: 3632kb

input:

93349859 634036506

output:

110693443

result:

ok "110693443"

Test #12:

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

input:

453035113 34126396

output:

306244220

result:

ok "306244220"

Test #13:

score: 0
Accepted
time: 0ms
memory: 3628kb

input:

31994526 100604502

output:

930620701

result:

ok "930620701"

Test #14:

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

input:

234760741 249817734

output:

440195858

result:

ok "440195858"

Test #15:

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

input:

542621111 646412689

output:

207377992

result:

ok "207377992"

Test #16:

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

input:

28492783 602632297

output:

65234506

result:

ok "65234506"

Test #17:

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

input:

213500301 768820204

output:

540205113

result:

ok "540205113"

Test #18:

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

input:

697808101 753041955

output:

93561295

result:

ok "93561295"

Test #19:

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

input:

585126464 450455977

output:

91109717

result:

ok "91109717"

Test #20:

score: 0
Accepted
time: 0ms
memory: 3628kb

input:

236696315 482334538

output:

925575199

result:

ok "925575199"

Test #21:

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

input:

632719214 298704996

output:

358926097

result:

ok "358926097"

Test #22:

score: 0
Accepted
time: 0ms
memory: 3692kb

input:

869119333 933404114

output:

318501108

result:

ok "318501108"

Test #23:

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

input:

6977994 814763202

output:

585332987

result:

ok "585332987"

Test #24:

score: 0
Accepted
time: 0ms
memory: 3620kb

input:

3 1

output:

3

result:

ok "3"

Test #25:

score: 0
Accepted
time: 0ms
memory: 3632kb

input:

3 1000000000

output:

279679226

result:

ok "279679226"

Test #26:

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

input:

4 0

output:

1

result:

ok "1"

Test #27:

score: 0
Accepted
time: 0ms
memory: 3716kb

input:

4 1

output:

2

result:

ok "2"

Test #28:

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

input:

4 1000000000

output:

1755648

result:

ok "1755648"

Test #29:

score: 0
Accepted
time: 0ms
memory: 3568kb

input:

1000000000 0

output:

1

result:

ok "1"

Test #30:

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

input:

1000000000 1

output:

696798313

result:

ok "696798313"

Test #31:

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

input:

1000000000 1000000000

output:

703786301

result:

ok "703786301"

Extra Test:

score: 0
Extra Test Passed