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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
#74340#4812. Counting Sequence12345678AC ✓10195ms45808kbC++142.5kb2023-01-31 20:05:532023-01-31 20:05:54

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.
  • [2023-01-31 20:05:54]
  • 评测
  • 测评结果:AC
  • 用时:10195ms
  • 内存:45808kb
  • [2023-01-31 20:05:53]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
//#define int long long
#define mp make_pair
#define inf 1e9
#define pii pair <int, int>
const int mod = 998244353;
inline int read () {
	int x = 0, f = 1;
	char ch = getchar ();
	while (ch < '0' || ch > '9') f = ((ch == '-') ? -1 : f), ch = getchar ();
	while (ch >= '0' && ch <= '9') x = x * 10 + ch - '0', ch = getchar ();
	return x * f;
}
inline void write (int x) {
	if (x < 0) x = -x, putchar ('-');
	if (x >= 10) write (x / 10);
	putchar (x % 10 + '0');
}
inline int quickmod (int x, int y) {
	int Ans = 1;
	while (y) {
		if (y & 1) Ans = (1ll * Ans * x) % mod;
		x = (1ll * x * x) % mod;
		y >>= 1;
	}
	return Ans;
}
inline void Add(int &x, int y) {
	x += y;
	if(x >= mod) x -= mod;
}
inline int add(int x, int y) {
	x += y;
	if(x >= mod) x -= mod;
	return x;
}
const int B = 800;
int n, c;
namespace Sub1 {
	const int BL = 3000;
	int f[BL+5][2*B+5][2];
	int solve() {
		int Ans = 0;
		for(int i = 1; i <= B; i++) f[i][i][0] = 1;
		int lst = 1, fl = 0;
		for(int L = 1; L <= n; fl ^= 1) {
			int R = min(n, L + BL - 1);
			for(int i = 0; i <= BL + 1; i++) for(int j = 1; j <= 2 * B; j++) f[i][j][fl^1] = 0;
			for(int i = L; i <= R; i++) {
				for(int j = 1; j <= 2 * B; j++) {
					if(j != 1 && i + j - 1 <= n) {
						if(i + j - 1 <= R) Add(f[(i-L+1)+j-1][j-1][fl], 1ll * f[i-L+1][j][fl] * c % mod);
						else Add(f[(i-R)+j-1][j-1][fl^1], 1ll * f[i-L+1][j][fl] * c % mod);
					}
					if(i + j + 1 <= n) {
						if(i + j + 1 <= R) Add(f[(i-L+1)+j+1][j+1][fl], f[i-L+1][j][fl]);
						else Add(f[(i-R)+j+1][j+1][fl^1], f[i-L+1][j][fl]);
					}
				}	
			}
			lst = L, L = R + 1;
		}
		for(int i = 1; i <= 2 * B; i++) Add(Ans, f[n-lst+1][i][fl^1]);
		return Ans;
	}
};//fr <= B
namespace Sub2 {
	int f[2][600005];
	const int AD = 300000;
	int solve() {
		int Ans = (n > B);
		f[0][AD] = 1;
		for(int len = 1, fl = 0; len <= 1000; len++, fl ^= 1) {
			for(int i = 0; i <= 2 * AD; i++) f[fl^1][i] = add((i >= len) ? f[fl][i-len] : 0, (i + len <= 2 * AD) ? 1ll * f[fl][i+len] * c % mod : 0);
			for(int i = B + 1; i <= n; i++) {
				int j = n - (len + 1) * i + AD;
				if(j >= 0 && j <= 2 * AD) Add(Ans, f[fl^1][j]);
			}
		}
		return Ans;
	}
};//fr > B, len < n / B
signed main () {
//	freopen (".in", "r", stdin);
//	freopen (".out", "w", stdout);
	n = read(), c = read();
	write(add(Sub1 :: solve(), Sub2 :: solve())), putchar('\n');
	return 0;
}
/*
300000 114514
*/

详细

Test #1:

score: 100
Accepted
time: 2299ms
memory: 45608kb

input:

5 3

output:

8

result:

ok 1 number(s): "8"

Test #2:

score: 0
Accepted
time: 1427ms
memory: 45628kb

input:

1 0

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 2328ms
memory: 45652kb

input:

2022 39

output:

273239559

result:

ok 1 number(s): "273239559"

Test #4:

score: 0
Accepted
time: 2328ms
memory: 45672kb

input:

1 998244352

output:

1

result:

ok 1 number(s): "1"

Test #5:

score: 0
Accepted
time: 2313ms
memory: 45468kb

input:

1 12345678

output:

1

result:

ok 1 number(s): "1"

Test #6:

score: 0
Accepted
time: 2376ms
memory: 45804kb

input:

20 998998

output:

643731701

result:

ok 1 number(s): "643731701"

Test #7:

score: 0
Accepted
time: 2348ms
memory: 45536kb

input:

23 123

output:

947753998

result:

ok 1 number(s): "947753998"

Test #8:

score: 0
Accepted
time: 2376ms
memory: 45656kb

input:

50 5555

output:

745339864

result:

ok 1 number(s): "745339864"

Test #9:

score: 0
Accepted
time: 2308ms
memory: 45772kb

input:

60 6666

output:

690992218

result:

ok 1 number(s): "690992218"

Test #10:

score: 0
Accepted
time: 2351ms
memory: 45672kb

input:

100 50

output:

169678588

result:

ok 1 number(s): "169678588"

Test #11:

score: 0
Accepted
time: 2350ms
memory: 45608kb

input:

500 88888

output:

216149701

result:

ok 1 number(s): "216149701"

Test #12:

score: 0
Accepted
time: 2376ms
memory: 45664kb

input:

1000 213456

output:

270989457

result:

ok 1 number(s): "270989457"

Test #13:

score: 0
Accepted
time: 2430ms
memory: 45652kb

input:

2000 119988

output:

756425375

result:

ok 1 number(s): "756425375"

Test #14:

score: 0
Accepted
time: 2370ms
memory: 45776kb

input:

3000 998244352

output:

71841227

result:

ok 1 number(s): "71841227"

Test #15:

score: 0
Accepted
time: 2428ms
memory: 45676kb

input:

3000 555555555

output:

79880116

result:

ok 1 number(s): "79880116"

Test #16:

score: 0
Accepted
time: 2492ms
memory: 45608kb

input:

4321 1234

output:

949603993

result:

ok 1 number(s): "949603993"

Test #17:

score: 0
Accepted
time: 1603ms
memory: 45664kb

input:

5000 0

output:

5

result:

ok 1 number(s): "5"

Test #18:

score: 0
Accepted
time: 2516ms
memory: 45608kb

input:

5000 88888777

output:

833064960

result:

ok 1 number(s): "833064960"

Test #19:

score: 0
Accepted
time: 2558ms
memory: 45628kb

input:

5000 35557777

output:

696388498

result:

ok 1 number(s): "696388498"

Test #20:

score: 0
Accepted
time: 2633ms
memory: 45672kb

input:

10000 123456

output:

434296902

result:

ok 1 number(s): "434296902"

Test #21:

score: 0
Accepted
time: 2891ms
memory: 45560kb

input:

20000 555555

output:

34806915

result:

ok 1 number(s): "34806915"

Test #22:

score: 0
Accepted
time: 3155ms
memory: 45528kb

input:

30000 777888999

output:

58443551

result:

ok 1 number(s): "58443551"

Test #23:

score: 0
Accepted
time: 3706ms
memory: 45624kb

input:

50000 2

output:

90102905

result:

ok 1 number(s): "90102905"

Test #24:

score: 0
Accepted
time: 4154ms
memory: 45608kb

input:

70000 77998866

output:

202638568

result:

ok 1 number(s): "202638568"

Test #25:

score: 0
Accepted
time: 4886ms
memory: 45628kb

input:

100000 998244352

output:

360520717

result:

ok 1 number(s): "360520717"

Test #26:

score: 0
Accepted
time: 4918ms
memory: 45628kb

input:

100000 555555555

output:

613886009

result:

ok 1 number(s): "613886009"

Test #27:

score: 0
Accepted
time: 6267ms
memory: 45608kb

input:

150000 233333

output:

381065878

result:

ok 1 number(s): "381065878"

Test #28:

score: 0
Accepted
time: 6110ms
memory: 45536kb

input:

150000 20050117

output:

269891864

result:

ok 1 number(s): "269891864"

Test #29:

score: 0
Accepted
time: 7433ms
memory: 45656kb

input:

200000 114514

output:

262861613

result:

ok 1 number(s): "262861613"

Test #30:

score: 0
Accepted
time: 7485ms
memory: 45804kb

input:

200000 1919810

output:

77872388

result:

ok 1 number(s): "77872388"

Test #31:

score: 0
Accepted
time: 9181ms
memory: 45660kb

input:

300000 0

output:

12

result:

ok 1 number(s): "12"

Test #32:

score: 0
Accepted
time: 10047ms
memory: 45732kb

input:

300000 1

output:

298803948

result:

ok 1 number(s): "298803948"

Test #33:

score: 0
Accepted
time: 10008ms
memory: 45664kb

input:

300000 2

output:

106751203

result:

ok 1 number(s): "106751203"

Test #34:

score: 0
Accepted
time: 10026ms
memory: 45664kb

input:

300000 1234

output:

427045479

result:

ok 1 number(s): "427045479"

Test #35:

score: 0
Accepted
time: 10101ms
memory: 45780kb

input:

300000 2345

output:

441593553

result:

ok 1 number(s): "441593553"

Test #36:

score: 0
Accepted
time: 9791ms
memory: 45780kb

input:

300000 20041115

output:

580367993

result:

ok 1 number(s): "580367993"

Test #37:

score: 0
Accepted
time: 9875ms
memory: 45656kb

input:

300000 20050117

output:

579859619

result:

ok 1 number(s): "579859619"

Test #38:

score: 0
Accepted
time: 10195ms
memory: 45804kb

input:

300000 22223333

output:

596066085

result:

ok 1 number(s): "596066085"

Test #39:

score: 0
Accepted
time: 9988ms
memory: 45564kb

input:

300000 175846372

output:

660364393

result:

ok 1 number(s): "660364393"

Test #40:

score: 0
Accepted
time: 10120ms
memory: 45536kb

input:

299999 9999999

output:

954865020

result:

ok 1 number(s): "954865020"

Test #41:

score: 0
Accepted
time: 9758ms
memory: 45660kb

input:

299998 55556666

output:

904862432

result:

ok 1 number(s): "904862432"

Test #42:

score: 0
Accepted
time: 7406ms
memory: 45808kb

input:

190733 31756136

output:

880544587

result:

ok 1 number(s): "880544587"

Test #43:

score: 0
Accepted
time: 7779ms
memory: 45680kb

input:

198497 463488298

output:

185220207

result:

ok 1 number(s): "185220207"

Test #44:

score: 0
Accepted
time: 9162ms
memory: 45664kb

input:

299997 0

output:

16

result:

ok 1 number(s): "16"

Test #45:

score: 0
Accepted
time: 6690ms
memory: 45660kb

input:

168168 296157813

output:

798716760

result:

ok 1 number(s): "798716760"

Test #46:

score: 0
Accepted
time: 5208ms
memory: 45672kb

input:

114514 1919810

output:

783513290

result:

ok 1 number(s): "783513290"