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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#72146#4812. Counting SequenceAppleblue17AC ✓8106ms17884kbC++14917b2023-01-14 15:40:262023-01-14 15:40:27

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.
  • [2023-01-14 15:40:27]
  • 评测
  • 测评结果：AC
  • 用时：8106ms
  • 内存：17884kb
查看
  • [2023-01-14 15:40:26]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
const int N=3e5+5,B=880,mod=998244353;
int n,m=800,c,ans;

int f[2][N];
int g[B*2][B*2];
bool fl=0;

int nw=1;

int main(){
	cin>>n>>c;
	fl=0;
	f[0][m]=1;
	for(int i=1;i<=m;i++){
		for(int t=m;t<=n && (t-m)*i<=n;t++)
			ans=(ans+f[fl][n-(t-m)*i])%mod;
		
		for(int j=1;j<=n;j++){
			if(j+m+i<=n) f[fl^1][j+m+i]=(f[fl^1][j+m+i]+f[fl][j])%mod;
			if(j+m-i<=n) f[fl^1][j+m-i]=(f[fl^1][j+m-i]+1ll*f[fl][j]*c%mod)%mod;
		}
		memset(f[fl],0,sizeof(f[fl]));
		fl^=1;
	}
	
	for(int t=1;t<m;t++) g[t][t]=1;
	for(int i=1;i<n;i++){
		for(int j=1;j<=2*m;j++){
			if(j>1) g[(nw+j-1)%(2*m)][j-1]=(g[(nw+j-1)%(2*m)][j-1]+1ll*g[nw][j]*c%mod)%mod;
			if(i+j+1<=n) g[(nw+j+1)%(2*m)][j+1]=(g[(nw+j+1)%(2*m)][j+1]+g[nw][j])%mod;
		}
		
		memset(g[nw],0,sizeof(g[nw]));
		nw=(nw+1)%(2*m);
	}
	for(int t=1;t<=2*m;t++) ans=(ans+g[nw][t])%mod;
	cout<<ans;
}
Source code, Language: C++14

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 38ms
memory: 15812kb

input:

5 3

output:

8

result:

ok 1 number(s): "8"

Test #2:

score: 0
Accepted
time: 34ms
memory: 13404kb

input:

1 0

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 82ms
memory: 17676kb

input:

2022 39

output:

273239559

result:

ok 1 number(s): "273239559"

Test #4:

score: 0
Accepted
time: 34ms
memory: 10920kb

input:

1 998244352

output:

1

result:

ok 1 number(s): "1"

Test #5:

score: 0
Accepted
time: 37ms
memory: 13264kb

input:

1 12345678

output:

1

result:

ok 1 number(s): "1"

Test #6:

score: 0
Accepted
time: 33ms
memory: 14112kb

input:

20 998998

output:

643731701

result:

ok 1 number(s): "643731701"

Test #7:

score: 0
Accepted
time: 33ms
memory: 15944kb

input:

23 123

output:

947753998

result:

ok 1 number(s): "947753998"

Test #8:

score: 0
Accepted
time: 39ms
memory: 14148kb

input:

50 5555

output:

745339864

result:

ok 1 number(s): "745339864"

Test #9:

score: 0
Accepted
time: 36ms
memory: 15740kb

input:

60 6666

output:

690992218

result:

ok 1 number(s): "690992218"

Test #10:

score: 0
Accepted
time: 41ms
memory: 16120kb

input:

100 50

output:

169678588

result:

ok 1 number(s): "169678588"

Test #11:

score: 0
Accepted
time: 42ms
memory: 16188kb

input:

500 88888

output:

216149701

result:

ok 1 number(s): "216149701"

Test #12:

score: 0
Accepted
time: 59ms
memory: 17740kb

input:

1000 213456

output:

270989457

result:

ok 1 number(s): "270989457"

Test #13:

score: 0
Accepted
time: 86ms
memory: 17124kb

input:

2000 119988

output:

756425375

result:

ok 1 number(s): "756425375"

Test #14:

score: 0
Accepted
time: 117ms
memory: 16820kb

input:

3000 998244352

output:

71841227

result:

ok 1 number(s): "71841227"

Test #15:

score: 0
Accepted
time: 112ms
memory: 17716kb

input:

3000 555555555

output:

79880116

result:

ok 1 number(s): "79880116"

Test #16:

score: 0
Accepted
time: 143ms
memory: 17884kb

input:

4321 1234

output:

949603993

result:

ok 1 number(s): "949603993"

Test #17:

score: 0
Accepted
time: 156ms
memory: 17380kb

input:

5000 0

output:

5

result:

ok 1 number(s): "5"

Test #18:

score: 0
Accepted
time: 160ms
memory: 17744kb

input:

5000 88888777

output:

833064960

result:

ok 1 number(s): "833064960"

Test #19:

score: 0
Accepted
time: 183ms
memory: 17016kb

input:

5000 35557777

output:

696388498

result:

ok 1 number(s): "696388498"

Test #20:

score: 0
Accepted
time: 287ms
memory: 17760kb

input:

10000 123456

output:

434296902

result:

ok 1 number(s): "434296902"

Test #21:

score: 0
Accepted
time: 557ms
memory: 17576kb

input:

20000 555555

output:

34806915

result:

ok 1 number(s): "34806915"

Test #22:

score: 0
Accepted
time: 888ms
memory: 16736kb

input:

30000 777888999

output:

58443551

result:

ok 1 number(s): "58443551"

Test #23:

score: 0
Accepted
time: 1305ms
memory: 17716kb

input:

50000 2

output:

90102905

result:

ok 1 number(s): "90102905"

Test #24:

score: 0
Accepted
time: 1778ms
memory: 17556kb

input:

70000 77998866

output:

202638568

result:

ok 1 number(s): "202638568"

Test #25:

score: 0
Accepted
time: 2402ms
memory: 17756kb

input:

100000 998244352

output:

360520717

result:

ok 1 number(s): "360520717"

Test #26:

score: 0
Accepted
time: 2727ms
memory: 16912kb

input:

100000 555555555

output:

613886009

result:

ok 1 number(s): "613886009"

Test #27:

score: 0
Accepted
time: 3885ms
memory: 17728kb

input:

150000 233333

output:

381065878

result:

ok 1 number(s): "381065878"

Test #28:

score: 0
Accepted
time: 3940ms
memory: 17656kb

input:

150000 20050117

output:

269891864

result:

ok 1 number(s): "269891864"

Test #29:

score: 0
Accepted
time: 5183ms
memory: 17772kb

input:

200000 114514

output:

262861613

result:

ok 1 number(s): "262861613"

Test #30:

score: 0
Accepted
time: 5116ms
memory: 17728kb

input:

200000 1919810

output:

77872388

result:

ok 1 number(s): "77872388"

Test #31:

score: 0
Accepted
time: 7677ms
memory: 17740kb

input:

300000 0

output:

12

result:

ok 1 number(s): "12"

Test #32:

score: 0
Accepted
time: 7675ms
memory: 17720kb

input:

300000 1

output:

298803948

result:

ok 1 number(s): "298803948"

Test #33:

score: 0
Accepted
time: 7599ms
memory: 17716kb

input:

300000 2

output:

106751203

result:

ok 1 number(s): "106751203"

Test #34:

score: 0
Accepted
time: 7906ms
memory: 17740kb

input:

300000 1234

output:

427045479

result:

ok 1 number(s): "427045479"

Test #35:

score: 0
Accepted
time: 7687ms
memory: 17744kb

input:

300000 2345

output:

441593553

result:

ok 1 number(s): "441593553"

Test #36:

score: 0
Accepted
time: 7660ms
memory: 17112kb

input:

300000 20041115

output:

580367993

result:

ok 1 number(s): "580367993"

Test #37:

score: 0
Accepted
time: 8106ms
memory: 17172kb

input:

300000 20050117

output:

579859619

result:

ok 1 number(s): "579859619"

Test #38:

score: 0
Accepted
time: 7978ms
memory: 17884kb

input:

300000 22223333

output:

596066085

result:

ok 1 number(s): "596066085"

Test #39:

score: 0
Accepted
time: 7972ms
memory: 17336kb

input:

300000 175846372

output:

660364393

result:

ok 1 number(s): "660364393"

Test #40:

score: 0
Accepted
time: 8040ms
memory: 17844kb

input:

299999 9999999

output:

954865020

result:

ok 1 number(s): "954865020"

Test #41:

score: 0
Accepted
time: 7902ms
memory: 17764kb

input:

299998 55556666

output:

904862432

result:

ok 1 number(s): "904862432"

Test #42:

score: 0
Accepted
time: 4851ms
memory: 17768kb

input:

190733 31756136

output:

880544587

result:

ok 1 number(s): "880544587"

Test #43:

score: 0
Accepted
time: 5039ms
memory: 17744kb

input:

198497 463488298

output:

185220207

result:

ok 1 number(s): "185220207"

Test #44:

score: 0
Accepted
time: 7469ms
memory: 17692kb

input:

299997 0

output:

16

result:

ok 1 number(s): "16"

Test #45:

score: 0
Accepted
time: 4260ms
memory: 17492kb

input:

168168 296157813

output:

798716760

result:

ok 1 number(s): "798716760"

Test #46:

score: 0
Accepted
time: 3071ms
memory: 16812kb

input:

114514 1919810

output:

783513290

result:

ok 1 number(s): "783513290"
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