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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
#73058#4812. Counting SequenceFISHER_AC ✓2819ms14060kbC++141.3kb2023-01-21 19:03:322023-01-21 19:03:35

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.
  • [2023-01-21 19:03:35]
  • 评测
  • 测评结果:AC
  • 用时:2819ms
  • 内存:14060kb
  • [2023-01-21 19:03:32]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
const int mod = 998244353;
inline int Mod(int x) { return x + ((x >> 31) & mod); }
inline int add(int x, int y) { return Mod(x + y - mod); }
inline int sub(int x, int y) { return Mod(x - y); }
inline int mul(int x, int y) { return 1ll * x * y % mod; }
const int maxn = 300000, K = 1200;
int f[K + 5][K], g[2][2 * maxn + 5];
int n, c;
inline int sum(int l, int r) { return (l + r) * (r - l + 1) / 2; }
inline int& G(int i, int j) { return g[i][j + n]; }
int main() {
	scanf("%d%d", &n, &c);
	int B = sqrt(2 * n);
	for (int i = 1; i <= n; i++) {
		int now = i % K;
		memset(f[now], 0, sizeof(f[now]));
		for (int j = 1; j <= i && (j <= B || sum(B, j) <= n); j++) {
			int lst = (i - j) % K;
			f[now][j] = add(j <= B && i == j, add(f[lst][j + 1], mul(c, f[lst][j - 1])));
		}
	}
	int ans = B < n;
	for (int i = 1; i <= B || sum(B, i) <= n; i++) ans = add(ans, f[n % K][i]);
	int now = 1, lst = 0;
	G(now, 0) = 1;
	for (int i = 2; i <= B; i++) {
		now ^= 1, lst ^= 1;
		memset(g[now], 0, sizeof(g[now]));
		for (int j = -sum(0, i - 1); j <= sum(0, i - 1); j++)
			G(now, j) = add(G(lst, j + i - 1), mul(c, G(lst, j - i + 1)));
		for(int j = B + 1; sum(j - i + 1, j) <= n; j++) ans = add(ans, G(now, n - j * i));
	}
	printf("%d", ans);
}

詳細信息

Test #1:

score: 100
Accepted
time: 2ms
memory: 9544kb

input:

5 3

output:

8

result:

ok 1 number(s): "8"

Test #2:

score: 0
Accepted
time: 1ms
memory: 7568kb

input:

1 0

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 6ms
memory: 13912kb

input:

2022 39

output:

273239559

result:

ok 1 number(s): "273239559"

Test #4:

score: 0
Accepted
time: 1ms
memory: 7656kb

input:

1 998244352

output:

1

result:

ok 1 number(s): "1"

Test #5:

score: 0
Accepted
time: 3ms
memory: 7844kb

input:

1 12345678

output:

1

result:

ok 1 number(s): "1"

Test #6:

score: 0
Accepted
time: 1ms
memory: 9572kb

input:

20 998998

output:

643731701

result:

ok 1 number(s): "643731701"

Test #7:

score: 0
Accepted
time: 1ms
memory: 9796kb

input:

23 123

output:

947753998

result:

ok 1 number(s): "947753998"

Test #8:

score: 0
Accepted
time: 4ms
memory: 8608kb

input:

50 5555

output:

745339864

result:

ok 1 number(s): "745339864"

Test #9:

score: 0
Accepted
time: 1ms
memory: 10024kb

input:

60 6666

output:

690992218

result:

ok 1 number(s): "690992218"

Test #10:

score: 0
Accepted
time: 2ms
memory: 10376kb

input:

100 50

output:

169678588

result:

ok 1 number(s): "169678588"

Test #11:

score: 0
Accepted
time: 7ms
memory: 12500kb

input:

500 88888

output:

216149701

result:

ok 1 number(s): "216149701"

Test #12:

score: 0
Accepted
time: 6ms
memory: 13476kb

input:

1000 213456

output:

270989457

result:

ok 1 number(s): "270989457"

Test #13:

score: 0
Accepted
time: 12ms
memory: 13768kb

input:

2000 119988

output:

756425375

result:

ok 1 number(s): "756425375"

Test #14:

score: 0
Accepted
time: 7ms
memory: 13896kb

input:

3000 998244352

output:

71841227

result:

ok 1 number(s): "71841227"

Test #15:

score: 0
Accepted
time: 9ms
memory: 13804kb

input:

3000 555555555

output:

79880116

result:

ok 1 number(s): "79880116"

Test #16:

score: 0
Accepted
time: 18ms
memory: 13916kb

input:

4321 1234

output:

949603993

result:

ok 1 number(s): "949603993"

Test #17:

score: 0
Accepted
time: 11ms
memory: 13888kb

input:

5000 0

output:

5

result:

ok 1 number(s): "5"

Test #18:

score: 0
Accepted
time: 13ms
memory: 13768kb

input:

5000 88888777

output:

833064960

result:

ok 1 number(s): "833064960"

Test #19:

score: 0
Accepted
time: 14ms
memory: 13872kb

input:

5000 35557777

output:

696388498

result:

ok 1 number(s): "696388498"

Test #20:

score: 0
Accepted
time: 25ms
memory: 14036kb

input:

10000 123456

output:

434296902

result:

ok 1 number(s): "434296902"

Test #21:

score: 0
Accepted
time: 58ms
memory: 13772kb

input:

20000 555555

output:

34806915

result:

ok 1 number(s): "34806915"

Test #22:

score: 0
Accepted
time: 101ms
memory: 13824kb

input:

30000 777888999

output:

58443551

result:

ok 1 number(s): "58443551"

Test #23:

score: 0
Accepted
time: 203ms
memory: 13812kb

input:

50000 2

output:

90102905

result:

ok 1 number(s): "90102905"

Test #24:

score: 0
Accepted
time: 317ms
memory: 14056kb

input:

70000 77998866

output:

202638568

result:

ok 1 number(s): "202638568"

Test #25:

score: 0
Accepted
time: 567ms
memory: 14056kb

input:

100000 998244352

output:

360520717

result:

ok 1 number(s): "360520717"

Test #26:

score: 0
Accepted
time: 512ms
memory: 13824kb

input:

100000 555555555

output:

613886009

result:

ok 1 number(s): "613886009"

Test #27:

score: 0
Accepted
time: 939ms
memory: 13920kb

input:

150000 233333

output:

381065878

result:

ok 1 number(s): "381065878"

Test #28:

score: 0
Accepted
time: 934ms
memory: 14056kb

input:

150000 20050117

output:

269891864

result:

ok 1 number(s): "269891864"

Test #29:

score: 0
Accepted
time: 1516ms
memory: 13824kb

input:

200000 114514

output:

262861613

result:

ok 1 number(s): "262861613"

Test #30:

score: 0
Accepted
time: 1487ms
memory: 13916kb

input:

200000 1919810

output:

77872388

result:

ok 1 number(s): "77872388"

Test #31:

score: 0
Accepted
time: 2532ms
memory: 13912kb

input:

300000 0

output:

12

result:

ok 1 number(s): "12"

Test #32:

score: 0
Accepted
time: 2818ms
memory: 13812kb

input:

300000 1

output:

298803948

result:

ok 1 number(s): "298803948"

Test #33:

score: 0
Accepted
time: 2819ms
memory: 13884kb

input:

300000 2

output:

106751203

result:

ok 1 number(s): "106751203"

Test #34:

score: 0
Accepted
time: 2573ms
memory: 13808kb

input:

300000 1234

output:

427045479

result:

ok 1 number(s): "427045479"

Test #35:

score: 0
Accepted
time: 2593ms
memory: 13892kb

input:

300000 2345

output:

441593553

result:

ok 1 number(s): "441593553"

Test #36:

score: 0
Accepted
time: 2580ms
memory: 13804kb

input:

300000 20041115

output:

580367993

result:

ok 1 number(s): "580367993"

Test #37:

score: 0
Accepted
time: 2582ms
memory: 14056kb

input:

300000 20050117

output:

579859619

result:

ok 1 number(s): "579859619"

Test #38:

score: 0
Accepted
time: 2618ms
memory: 13808kb

input:

300000 22223333

output:

596066085

result:

ok 1 number(s): "596066085"

Test #39:

score: 0
Accepted
time: 2636ms
memory: 14052kb

input:

300000 175846372

output:

660364393

result:

ok 1 number(s): "660364393"

Test #40:

score: 0
Accepted
time: 2663ms
memory: 13888kb

input:

299999 9999999

output:

954865020

result:

ok 1 number(s): "954865020"

Test #41:

score: 0
Accepted
time: 2565ms
memory: 14060kb

input:

299998 55556666

output:

904862432

result:

ok 1 number(s): "904862432"

Test #42:

score: 0
Accepted
time: 1321ms
memory: 14060kb

input:

190733 31756136

output:

880544587

result:

ok 1 number(s): "880544587"

Test #43:

score: 0
Accepted
time: 1471ms
memory: 13824kb

input:

198497 463488298

output:

185220207

result:

ok 1 number(s): "185220207"

Test #44:

score: 0
Accepted
time: 2576ms
memory: 13820kb

input:

299997 0

output:

16

result:

ok 1 number(s): "16"

Test #45:

score: 0
Accepted
time: 1150ms
memory: 13800kb

input:

168168 296157813

output:

798716760

result:

ok 1 number(s): "798716760"

Test #46:

score: 0
Accepted
time: 629ms
memory: 13812kb

input:

114514 1919810

output:

783513290

result:

ok 1 number(s): "783513290"