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QOJ

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
#22941#2892. 合法序列hy_zheng_zai_nei_juan#AC ✓15ms3748kbC++201.2kb2022-03-11 11:32:582022-04-30 02:09:25

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2022-04-30 02:09:25]
  • 评测
  • 测评结果:AC
  • 用时:15ms
  • 内存:3748kb
  • [2022-03-11 11:32:58]
  • 提交

answer

#include <bits/stdc++.h>

const int mod = 998244353;

inline int inc(int x, int y) { x += y - mod; return x + (x >> 31 & mod); }
inline int dec(int x, int y) { x -= y; return x + (x >> 31 & mod); }
inline void upd(int &x, int y) { x = inc(x, y); }

int main() {
	int n, k;
	std::cin >> n >> k;
	const int U = 1 << (1 << k);
	int full = (1 << k) - 1;
	int ans = 0;
	auto solve = [&](int mask) {
		int m = 1 << k;
		std::vector<int> a(m);
		for (int i = 0; i < m; ++i)
			a[i] = (mask >> i & 1);
		for (int i = 0; i + k <= m; ++i) {
			int u = 0;
			for (int j = i; j < i + k; ++j)
				u = u * 2 + a[j];
			if (a[u] == 0) return 0;
		}
		int init_v = 0;
		for (int i = m - k; i < m; ++i)
			init_v = init_v * 2 + a[i];
		std::vector<std::vector<int>> dp(n + 1, std::vector<int>(m));
		dp[m - 1][init_v] = 1;
		for (int i = m; i < n; ++i) {
			for (int v = 0; v < m; ++v) {
				for (int bit : {0, 1}) {
					int nv = (v * 2 + bit) & full;
					if (a[nv] == 1) {
						upd(dp[i][nv], dp[i - 1][v]);
					}
				}
			}
		}
		int ans = 0;
		for (int i = 0; i < m; ++i)
			upd(ans, dp[n - 1][i]);
		return ans;
	};
	for (int mask = 0; mask < U; ++mask) {
		upd(ans, solve(mask));
	}
	std::cout << ans << '\n';
}

詳細信息

Test #1:

score: 100
Accepted
time: 3ms
memory: 3552kb

input:

2 1

output:

1

result:

ok single line: '1'

Test #2:

score: 0
Accepted
time: 2ms
memory: 3636kb

input:

10 3

output:

27

result:

ok single line: '27'

Test #3:

score: 0
Accepted
time: 2ms
memory: 3556kb

input:

11 3

output:

46

result:

ok single line: '46'

Test #4:

score: 0
Accepted
time: 3ms
memory: 3636kb

input:

500 3

output:

402086823

result:

ok single line: '402086823'

Test #5:

score: 0
Accepted
time: 5ms
memory: 3548kb

input:

16 4

output:

268

result:

ok single line: '268'

Test #6:

score: 0
Accepted
time: 1ms
memory: 3484kb

input:

17 4

output:

520

result:

ok single line: '520'

Test #7:

score: 0
Accepted
time: 5ms
memory: 3688kb

input:

18 4

output:

939

result:

ok single line: '939'

Test #8:

score: 0
Accepted
time: 5ms
memory: 3600kb

input:

19 4

output:

1634

result:

ok single line: '1634'

Test #9:

score: 0
Accepted
time: 2ms
memory: 3556kb

input:

20 4

output:

2678

result:

ok single line: '2678'

Test #10:

score: 0
Accepted
time: 15ms
memory: 3748kb

input:

500 4

output:

905810545

result:

ok single line: '905810545'

Test #11:

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

input:

156 3

output:

158348364

result:

ok single line: '158348364'

Test #12:

score: 0
Accepted
time: 3ms
memory: 3696kb

input:

3 1

output:

2

result:

ok single line: '2'

Test #13:

score: 0
Accepted
time: 3ms
memory: 3576kb

input:

419 1

output:

309520444

result:

ok single line: '309520444'

Test #14:

score: 0
Accepted
time: 1ms
memory: 3484kb

input:

148 1

output:

981388471

result:

ok single line: '981388471'

Test #15:

score: 0
Accepted
time: 3ms
memory: 3568kb

input:

208 1

output:

17788609

result:

ok single line: '17788609'

Test #16:

score: 0
Accepted
time: 14ms
memory: 3648kb

input:

325 4

output:

534470501

result:

ok single line: '534470501'

Test #17:

score: 0
Accepted
time: 2ms
memory: 3628kb

input:

478 1

output:

275981743

result:

ok single line: '275981743'

Test #18:

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

input:

437 3

output:

448979837

result:

ok single line: '448979837'

Test #19:

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

input:

260 3

output:

249722589

result:

ok single line: '249722589'

Test #20:

score: 0
Accepted
time: 3ms
memory: 3708kb

input:

406 2

output:

762498912

result:

ok single line: '762498912'

Test #21:

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

input:

348 2

output:

718553190

result:

ok single line: '718553190'

Test #22:

score: 0
Accepted
time: 3ms
memory: 3660kb

input:

350 1

output:

496751081

result:

ok single line: '496751081'

Test #23:

score: 0
Accepted
time: 3ms
memory: 3540kb

input:

500 1

output:

154029661

result:

ok single line: '154029661'

Test #24:

score: 0
Accepted
time: 12ms
memory: 3664kb

input:

344 4

output:

864324256

result:

ok single line: '864324256'

Test #25:

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

input:

127 3

output:

306783420

result:

ok single line: '306783420'

Test #26:

score: 0
Accepted
time: 5ms
memory: 3664kb

input:

170 4

output:

138463737

result:

ok single line: '138463737'

Test #27:

score: 0
Accepted
time: 3ms
memory: 3492kb

input:

199 3

output:

988988696

result:

ok single line: '988988696'

Test #28:

score: 0
Accepted
time: 3ms
memory: 3560kb

input:

206 3

output:

992080398

result:

ok single line: '992080398'

Test #29:

score: 0
Accepted
time: 1ms
memory: 3624kb

input:

82 2

output:

755922348

result:

ok single line: '755922348'

Test #30:

score: 0
Accepted
time: 3ms
memory: 3612kb

input:

351 2

output:

285073312

result:

ok single line: '285073312'

Test #31:

score: 0
Accepted
time: 3ms
memory: 3528kb

input:

274 1

output:

609866862

result:

ok single line: '609866862'

Test #32:

score: 0
Accepted
time: 1ms
memory: 3508kb

input:

416 3

output:

49398792

result:

ok single line: '49398792'

Test #33:

score: 0
Accepted
time: 3ms
memory: 3620kb

input:

4 2

output:

2

result:

ok single line: '2'

Test #34:

score: 0
Accepted
time: 3ms
memory: 3704kb

input:

5 2

output:

4

result:

ok single line: '4'

Test #35:

score: 0
Accepted
time: 2ms
memory: 3604kb

input:

6 2

output:

7

result:

ok single line: '7'

Test #36:

score: 0
Accepted
time: 1ms
memory: 3500kb

input:

500 2

output:

255888452

result:

ok single line: '255888452'

Test #37:

score: 0
Accepted
time: 2ms
memory: 3480kb

input:

8 3

output:

8

result:

ok single line: '8'

Test #38:

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

input:

9 3

output:

15

result:

ok single line: '15'