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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#74339#4812. Counting Sequence12345678ML 4813ms948452kbC++142.0kb2023-01-31 19:54:502023-01-31 19:54:51

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 19:54:51]
  • 评测
  • 测评结果:ML
  • 用时:4813ms
  • 内存:948452kb
  • [2023-01-31 19:54:50]
  • 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 {
	int f[300005][2*B+5];
	int solve() {
		int Ans = 0;
		for(int i = 1; i <= B; i++) f[i][i] = 1;
		for(int i = 1; i <= n; i++) {
			for(int j = 1; j <= 2 * B; j++) {
				if(j != 1 && i + j - 1 <= n) Add(f[i+j-1][j-1], 1ll * f[i][j] * c % mod);
				if(i + j + 1 <= n) Add(f[i+j+1][j+1], f[i][j]);
			}
		}
		for(int i = 1; i <= 2 * B; i++) Add(Ans, f[n][i]);
		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
*/

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2335ms
memory: 13356kb

input:

5 3

output:

8

result:

ok 1 number(s): "8"

Test #2:

score: 0
Accepted
time: 1436ms
memory: 13484kb

input:

1 0

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 2302ms
memory: 20840kb

input:

2022 39

output:

273239559

result:

ok 1 number(s): "273239559"

Test #4:

score: 0
Accepted
time: 2231ms
memory: 14624kb

input:

1 998244352

output:

1

result:

ok 1 number(s): "1"

Test #5:

score: 0
Accepted
time: 2352ms
memory: 13988kb

input:

1 12345678

output:

1

result:

ok 1 number(s): "1"

Test #6:

score: 0
Accepted
time: 2367ms
memory: 13748kb

input:

20 998998

output:

643731701

result:

ok 1 number(s): "643731701"

Test #7:

score: 0
Accepted
time: 2330ms
memory: 14664kb

input:

23 123

output:

947753998

result:

ok 1 number(s): "947753998"

Test #8:

score: 0
Accepted
time: 2338ms
memory: 14700kb

input:

50 5555

output:

745339864

result:

ok 1 number(s): "745339864"

Test #9:

score: 0
Accepted
time: 2315ms
memory: 14220kb

input:

60 6666

output:

690992218

result:

ok 1 number(s): "690992218"

Test #10:

score: 0
Accepted
time: 2402ms
memory: 14788kb

input:

100 50

output:

169678588

result:

ok 1 number(s): "169678588"

Test #11:

score: 0
Accepted
time: 2290ms
memory: 13680kb

input:

500 88888

output:

216149701

result:

ok 1 number(s): "216149701"

Test #12:

score: 0
Accepted
time: 2294ms
memory: 14436kb

input:

1000 213456

output:

270989457

result:

ok 1 number(s): "270989457"

Test #13:

score: 0
Accepted
time: 2307ms
memory: 20564kb

input:

2000 119988

output:

756425375

result:

ok 1 number(s): "756425375"

Test #14:

score: 0
Accepted
time: 2327ms
memory: 26708kb

input:

3000 998244352

output:

71841227

result:

ok 1 number(s): "71841227"

Test #15:

score: 0
Accepted
time: 2418ms
memory: 26900kb

input:

3000 555555555

output:

79880116

result:

ok 1 number(s): "79880116"

Test #16:

score: 0
Accepted
time: 2445ms
memory: 35084kb

input:

4321 1234

output:

949603993

result:

ok 1 number(s): "949603993"

Test #17:

score: 0
Accepted
time: 1498ms
memory: 39320kb

input:

5000 0

output:

5

result:

ok 1 number(s): "5"

Test #18:

score: 0
Accepted
time: 2431ms
memory: 39440kb

input:

5000 88888777

output:

833064960

result:

ok 1 number(s): "833064960"

Test #19:

score: 0
Accepted
time: 2372ms
memory: 39516kb

input:

5000 35557777

output:

696388498

result:

ok 1 number(s): "696388498"

Test #20:

score: 0
Accepted
time: 2455ms
memory: 70712kb

input:

10000 123456

output:

434296902

result:

ok 1 number(s): "434296902"

Test #21:

score: 0
Accepted
time: 2622ms
memory: 133384kb

input:

20000 555555

output:

34806915

result:

ok 1 number(s): "34806915"

Test #22:

score: 0
Accepted
time: 2797ms
memory: 196108kb

input:

30000 777888999

output:

58443551

result:

ok 1 number(s): "58443551"

Test #23:

score: 0
Accepted
time: 3341ms
memory: 321368kb

input:

50000 2

output:

90102905

result:

ok 1 number(s): "90102905"

Test #24:

score: 0
Accepted
time: 3578ms
memory: 446892kb

input:

70000 77998866

output:

202638568

result:

ok 1 number(s): "202638568"

Test #25:

score: 0
Accepted
time: 4043ms
memory: 634976kb

input:

100000 998244352

output:

360520717

result:

ok 1 number(s): "360520717"

Test #26:

score: 0
Accepted
time: 3951ms
memory: 634956kb

input:

100000 555555555

output:

613886009

result:

ok 1 number(s): "613886009"

Test #27:

score: 0
Accepted
time: 4813ms
memory: 948452kb

input:

150000 233333

output:

381065878

result:

ok 1 number(s): "381065878"

Test #28:

score: 0
Accepted
time: 4798ms
memory: 948452kb

input:

150000 20050117

output:

269891864

result:

ok 1 number(s): "269891864"

Test #29:

score: -100
Memory Limit Exceeded

input:

200000 114514

output:


result: