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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
#74336#4812. Counting SequenceReanapAC ✓8626ms28544kbC++142.5kb2023-01-31 19:25:472023-01-31 19:25:49

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 19:25:49]
  • 评测
  • 测评结果:AC
  • 用时:8626ms
  • 内存:28544kb
  • [2023-01-31 19:25:47]
  • 提交

answer

#include <set>
#include <map>
#include <cmath>
#include <queue>
#include <cstdio>
#include <cassert>
#include <cstring>
#include <iostream>
#include <algorithm>
#define pii pair <int , int>
#define pll pair <LL , LL>
#define mp make_pair
#define fs first
#define sc second
using namespace std;
typedef long long LL;

//const int Mxdt=100000;
//static char buf[Mxdt],*p1=buf,*p2=buf;
//#define getchar() p1==p2&&(p2=(p1=buf)+fread(buf,1,Mxdt,stdin),p1==p2)?EOF:*p1++;


template <typename T>
void read(T &x) {
	T f=1;x=0;char s=getchar();
	while(s<'0'||s>'9') {if(s=='-') f=-1;s=getchar();}
	while(s>='0'&&s<='9') {x=(x<<3)+(x<<1)+(s^'0');s=getchar();}
	x *= f;
}

template <typename T>
void write(T x , char s='\n') {
	if(!x) {putchar('0');putchar(s);return;}
	if(x<0) {putchar('-');x=-x;}
	T t = 0 , tmp[25] = {};
	while(x) tmp[t ++] = x % 10 , x /= 10;
	while(t -- > 0) putchar(tmp[t] + '0');
	putchar(s);
}

const int MAXN = 3e5 + 5;
const int B = 800;
const int mod = 998244353;

inline int Add(int x , int y) {x += y;return x >= mod?x - mod:x;}
inline int Sub(int x , int y) {x -= y;return x < 0?x + mod:x;}
inline int Mul(int x , int y) {return 1ll * x * y % mod;}

inline int qpow(int a , int b) {
	int res = 1;
	while(b) {
		if(b & 1) res = Mul(res , a);
		a = Mul(a , a);
		b >>= 1;
	}
	return res;
}

int f[(B << 2) + 5][(B << 1) + 5] , n , c;

inline int Get(int x) {
	return (x % (B << 2));
}

int g[2][B * (B + 1) + 5];

int main() {
	read(n),read(c);
	for (int i = 1; i <= B; ++i) f[i][i] = 1;
	for (int i = 1; i < n; ++i) {
		int cur = Get(i);
		for (int j = 1; j <= B * 2; ++j) if(i + j - 1 <= n) {
			if(j > 1 && i + j - 1 <= n) f[Get(i + j - 1)][j - 1] = Add(f[Get(i + j - 1)][j - 1] , Mul(c , f[cur][j]));
			if(j < B * 2 && i + j + 1 <= n) f[Get(i + j + 1)][j + 1] = Add(f[Get(i + j + 1)][j + 1] , f[cur][j]);
			f[cur][j] = 0;
		} 
	}
	int ans = 0;
	for (int j = 1; j <= B * 2; ++j) ans = Add(ans , f[Get(n)][j]);
	int Z = B * (B + 1) / 2;
	g[1][Z] = 1;
	if(n > B) ans = Add(ans , 1);
	int lim = B * (B + 1);
	for (int i = 2; i <= B; ++i) {
		for (int j = 0; j <= lim; ++j) {
			g[i & 1][j] = 0;
			if(j >= i) g[i & 1][j] = Add(g[i & 1][j] , g[(i - 1) & 1][j - (i - 1)]);
			if(j + i <= lim) g[i & 1][j] = Add(g[i & 1][j] , Mul(g[(i - 1) & 1][j + (i - 1)] , c));
		}
		for (int j = B + 1; j <= n; ++j) if(n - j * i + Z <= lim && n - j * i + Z >= 0) ans = Add(ans , g[i & 1][n - j * i + Z]);
	}
	write(ans);
	return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 2248ms
memory: 14996kb

input:

5 3

output:

8

result:

ok 1 number(s): "8"

Test #2:

score: 0
Accepted
time: 1678ms
memory: 14824kb

input:

1 0

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 2232ms
memory: 20964kb

input:

2022 39

output:

273239559

result:

ok 1 number(s): "273239559"

Test #4:

score: 0
Accepted
time: 2144ms
memory: 15340kb

input:

1 998244352

output:

1

result:

ok 1 number(s): "1"

Test #5:

score: 0
Accepted
time: 2204ms
memory: 13604kb

input:

1 12345678

output:

1

result:

ok 1 number(s): "1"

Test #6:

score: 0
Accepted
time: 2260ms
memory: 14632kb

input:

20 998998

output:

643731701

result:

ok 1 number(s): "643731701"

Test #7:

score: 0
Accepted
time: 2209ms
memory: 15264kb

input:

23 123

output:

947753998

result:

ok 1 number(s): "947753998"

Test #8:

score: 0
Accepted
time: 2702ms
memory: 13460kb

input:

50 5555

output:

745339864

result:

ok 1 number(s): "745339864"

Test #9:

score: 0
Accepted
time: 2207ms
memory: 14236kb

input:

60 6666

output:

690992218

result:

ok 1 number(s): "690992218"

Test #10:

score: 0
Accepted
time: 2228ms
memory: 13668kb

input:

100 50

output:

169678588

result:

ok 1 number(s): "169678588"

Test #11:

score: 0
Accepted
time: 2224ms
memory: 14988kb

input:

500 88888

output:

216149701

result:

ok 1 number(s): "216149701"

Test #12:

score: 0
Accepted
time: 2272ms
memory: 14748kb

input:

1000 213456

output:

270989457

result:

ok 1 number(s): "270989457"

Test #13:

score: 0
Accepted
time: 2290ms
memory: 20876kb

input:

2000 119988

output:

756425375

result:

ok 1 number(s): "756425375"

Test #14:

score: 0
Accepted
time: 2184ms
memory: 27272kb

input:

3000 998244352

output:

71841227

result:

ok 1 number(s): "71841227"

Test #15:

score: 0
Accepted
time: 2252ms
memory: 27292kb

input:

3000 555555555

output:

79880116

result:

ok 1 number(s): "79880116"

Test #16:

score: 0
Accepted
time: 2396ms
memory: 28344kb

input:

4321 1234

output:

949603993

result:

ok 1 number(s): "949603993"

Test #17:

score: 0
Accepted
time: 1820ms
memory: 28296kb

input:

5000 0

output:

5

result:

ok 1 number(s): "5"

Test #18:

score: 0
Accepted
time: 2409ms
memory: 28540kb

input:

5000 88888777

output:

833064960

result:

ok 1 number(s): "833064960"

Test #19:

score: 0
Accepted
time: 2414ms
memory: 28544kb

input:

5000 35557777

output:

696388498

result:

ok 1 number(s): "696388498"

Test #20:

score: 0
Accepted
time: 2500ms
memory: 28268kb

input:

10000 123456

output:

434296902

result:

ok 1 number(s): "434296902"

Test #21:

score: 0
Accepted
time: 2620ms
memory: 28364kb

input:

20000 555555

output:

34806915

result:

ok 1 number(s): "34806915"

Test #22:

score: 0
Accepted
time: 2987ms
memory: 28348kb

input:

30000 777888999

output:

58443551

result:

ok 1 number(s): "58443551"

Test #23:

score: 0
Accepted
time: 3224ms
memory: 28464kb

input:

50000 2

output:

90102905

result:

ok 1 number(s): "90102905"

Test #24:

score: 0
Accepted
time: 3662ms
memory: 28364kb

input:

70000 77998866

output:

202638568

result:

ok 1 number(s): "202638568"

Test #25:

score: 0
Accepted
time: 4222ms
memory: 28396kb

input:

100000 998244352

output:

360520717

result:

ok 1 number(s): "360520717"

Test #26:

score: 0
Accepted
time: 4621ms
memory: 28344kb

input:

100000 555555555

output:

613886009

result:

ok 1 number(s): "613886009"

Test #27:

score: 0
Accepted
time: 5648ms
memory: 28540kb

input:

150000 233333

output:

381065878

result:

ok 1 number(s): "381065878"

Test #28:

score: 0
Accepted
time: 5348ms
memory: 28396kb

input:

150000 20050117

output:

269891864

result:

ok 1 number(s): "269891864"

Test #29:

score: 0
Accepted
time: 6236ms
memory: 28364kb

input:

200000 114514

output:

262861613

result:

ok 1 number(s): "262861613"

Test #30:

score: 0
Accepted
time: 6197ms
memory: 28396kb

input:

200000 1919810

output:

77872388

result:

ok 1 number(s): "77872388"

Test #31:

score: 0
Accepted
time: 7819ms
memory: 28536kb

input:

300000 0

output:

12

result:

ok 1 number(s): "12"

Test #32:

score: 0
Accepted
time: 7905ms
memory: 28388kb

input:

300000 1

output:

298803948

result:

ok 1 number(s): "298803948"

Test #33:

score: 0
Accepted
time: 7880ms
memory: 28300kb

input:

300000 2

output:

106751203

result:

ok 1 number(s): "106751203"

Test #34:

score: 0
Accepted
time: 8016ms
memory: 28344kb

input:

300000 1234

output:

427045479

result:

ok 1 number(s): "427045479"

Test #35:

score: 0
Accepted
time: 8521ms
memory: 28368kb

input:

300000 2345

output:

441593553

result:

ok 1 number(s): "441593553"

Test #36:

score: 0
Accepted
time: 8412ms
memory: 28544kb

input:

300000 20041115

output:

580367993

result:

ok 1 number(s): "580367993"

Test #37:

score: 0
Accepted
time: 8626ms
memory: 28392kb

input:

300000 20050117

output:

579859619

result:

ok 1 number(s): "579859619"

Test #38:

score: 0
Accepted
time: 8219ms
memory: 28468kb

input:

300000 22223333

output:

596066085

result:

ok 1 number(s): "596066085"

Test #39:

score: 0
Accepted
time: 8328ms
memory: 28392kb

input:

300000 175846372

output:

660364393

result:

ok 1 number(s): "660364393"

Test #40:

score: 0
Accepted
time: 8363ms
memory: 28468kb

input:

299999 9999999

output:

954865020

result:

ok 1 number(s): "954865020"

Test #41:

score: 0
Accepted
time: 8262ms
memory: 28296kb

input:

299998 55556666

output:

904862432

result:

ok 1 number(s): "904862432"

Test #42:

score: 0
Accepted
time: 6000ms
memory: 28360kb

input:

190733 31756136

output:

880544587

result:

ok 1 number(s): "880544587"

Test #43:

score: 0
Accepted
time: 6301ms
memory: 28344kb

input:

198497 463488298

output:

185220207

result:

ok 1 number(s): "185220207"

Test #44:

score: 0
Accepted
time: 8234ms
memory: 28540kb

input:

299997 0

output:

16

result:

ok 1 number(s): "16"

Test #45:

score: 0
Accepted
time: 5670ms
memory: 28512kb

input:

168168 296157813

output:

798716760

result:

ok 1 number(s): "798716760"

Test #46:

score: 0
Accepted
time: 4606ms
memory: 28508kb

input:

114514 1919810

output:

783513290

result:

ok 1 number(s): "783513290"