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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#79914#4812. Counting SequencehuzhaoyangAC ✓5690ms18140kbC++14768b2023-02-21 11:12:292023-02-21 11:12:32

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.
  • [2023-02-21 11:12:32]
  • 评测
  • 测评结果：AC
  • 用时：5690ms
  • 内存：18140kb
查看
  • [2023-02-21 11:12:29]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N=300005,M=800,mod=998244353;
int n,C,K,ans,g[N<<1],g0[N<<1],f[M<<1][M<<1];
int main(){
	scanf("%d%d",&n,&C);
	while (K*(K+1)/2<=n)K++;
	K--;
	int s=(K<<1)+1;
	for(int i=1;i<=n;i++){
		int z=i%s;
		if (i<=s)f[z][i]=1;
		for(int j=1;(j<i)&&(j<=s);j++)f[z][j]=(f[(z-j+s)%s][j+1]+(ll)C*f[(z-j+s)%s][j-1])%mod;
	}
	ans=(K<n),g[n]=1;
	for(int i=1;i<=K;i++)ans=(ans+f[n%s][i])%mod;
	for(int i=2;i<=K;i++){
		memcpy(g0,g,sizeof(g));
		memset(g,0,sizeof(g));
		for(int j=i-1;j<=(n<<1);j++)g[j]=g0[j-(i-1)];
		for(int j=0;j<=(n<<1)-(i-1);j++)g[j]=(g[j]+(ll)C*g0[j+(i-1)])%mod;
		for(int j=K+1;j<=(n<<1)/i;j++)ans=(ans+g[(n<<1)-i*j])%mod;
	}
	printf("%d\n",ans);
	return 0;
}
Source code, Language: C++14

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 8300kb

input:

5 3

output:

8

result:

ok 1 number(s): "8"

Test #2:

score: 0
Accepted
time: 2ms
memory: 3604kb

input:

1 0

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 20ms
memory: 8800kb

input:

2022 39

output:

273239559

result:

ok 1 number(s): "273239559"

Test #4:

score: 0
Accepted
time: 2ms
memory: 3748kb

input:

1 998244352

output:

1

result:

ok 1 number(s): "1"

Test #5:

score: 0
Accepted
time: 2ms
memory: 3776kb

input:

1 12345678

output:

1

result:

ok 1 number(s): "1"

Test #6:

score: 0
Accepted
time: 3ms
memory: 8268kb

input:

20 998998

output:

643731701

result:

ok 1 number(s): "643731701"

Test #7:

score: 0
Accepted
time: 1ms
memory: 8276kb

input:

23 123

output:

947753998

result:

ok 1 number(s): "947753998"

Test #8:

score: 0
Accepted
time: 4ms
memory: 8288kb

input:

50 5555

output:

745339864

result:

ok 1 number(s): "745339864"

Test #9:

score: 0
Accepted
time: 1ms
memory: 8532kb

input:

60 6666

output:

690992218

result:

ok 1 number(s): "690992218"

Test #10:

score: 0
Accepted
time: 3ms
memory: 8528kb

input:

100 50

output:

169678588

result:

ok 1 number(s): "169678588"

Test #11:

score: 0
Accepted
time: 10ms
memory: 8684kb

input:

500 88888

output:

216149701

result:

ok 1 number(s): "216149701"

Test #12:

score: 0
Accepted
time: 11ms
memory: 8832kb

input:

1000 213456

output:

270989457

result:

ok 1 number(s): "270989457"

Test #13:

score: 0
Accepted
time: 19ms
memory: 8740kb

input:

2000 119988

output:

756425375

result:

ok 1 number(s): "756425375"

Test #14:

score: 0
Accepted
time: 28ms
memory: 8920kb

input:

3000 998244352

output:

71841227

result:

ok 1 number(s): "71841227"

Test #15:

score: 0
Accepted
time: 21ms
memory: 8924kb

input:

3000 555555555

output:

79880116

result:

ok 1 number(s): "79880116"

Test #16:

score: 0
Accepted
time: 33ms
memory: 9064kb

input:

4321 1234

output:

949603993

result:

ok 1 number(s): "949603993"

Test #17:

score: 0
Accepted
time: 34ms
memory: 9240kb

input:

5000 0

output:

5

result:

ok 1 number(s): "5"

Test #18:

score: 0
Accepted
time: 33ms
memory: 9192kb

input:

5000 88888777

output:

833064960

result:

ok 1 number(s): "833064960"

Test #19:

score: 0
Accepted
time: 32ms
memory: 9216kb

input:

5000 35557777

output:

696388498

result:

ok 1 number(s): "696388498"

Test #20:

score: 0
Accepted
time: 59ms
memory: 9680kb

input:

10000 123456

output:

434296902

result:

ok 1 number(s): "434296902"

Test #21:

score: 0
Accepted
time: 115ms
memory: 10652kb

input:

20000 555555

output:

34806915

result:

ok 1 number(s): "34806915"

Test #22:

score: 0
Accepted
time: 184ms
memory: 11088kb

input:

30000 777888999

output:

58443551

result:

ok 1 number(s): "58443551"

Test #23:

score: 0
Accepted
time: 352ms
memory: 12180kb

input:

50000 2

output:

90102905

result:

ok 1 number(s): "90102905"

Test #24:

score: 0
Accepted
time: 543ms
memory: 12896kb

input:

70000 77998866

output:

202638568

result:

ok 1 number(s): "202638568"

Test #25:

score: 0
Accepted
time: 883ms
memory: 14036kb

input:

100000 998244352

output:

360520717

result:

ok 1 number(s): "360520717"

Test #26:

score: 0
Accepted
time: 885ms
memory: 13824kb

input:

100000 555555555

output:

613886009

result:

ok 1 number(s): "613886009"

Test #27:

score: 0
Accepted
time: 1621ms
memory: 15264kb

input:

150000 233333

output:

381065878

result:

ok 1 number(s): "381065878"

Test #28:

score: 0
Accepted
time: 1580ms
memory: 15292kb

input:

150000 20050117

output:

269891864

result:

ok 1 number(s): "269891864"

Test #29:

score: 0
Accepted
time: 2439ms
memory: 16192kb

input:

200000 114514

output:

262861613

result:

ok 1 number(s): "262861613"

Test #30:

score: 0
Accepted
time: 2424ms
memory: 16168kb

input:

200000 1919810

output:

77872388

result:

ok 1 number(s): "77872388"

Test #31:

score: 0
Accepted
time: 5288ms
memory: 17872kb

input:

300000 0

output:

12

result:

ok 1 number(s): "12"

Test #32:

score: 0
Accepted
time: 5257ms
memory: 17988kb

input:

300000 1

output:

298803948

result:

ok 1 number(s): "298803948"

Test #33:

score: 0
Accepted
time: 5690ms
memory: 17960kb

input:

300000 2

output:

106751203

result:

ok 1 number(s): "106751203"

Test #34:

score: 0
Accepted
time: 5674ms
memory: 17900kb

input:

300000 1234

output:

427045479

result:

ok 1 number(s): "427045479"

Test #35:

score: 0
Accepted
time: 5561ms
memory: 17916kb

input:

300000 2345

output:

441593553

result:

ok 1 number(s): "441593553"

Test #36:

score: 0
Accepted
time: 5382ms
memory: 18104kb

input:

300000 20041115

output:

580367993

result:

ok 1 number(s): "580367993"

Test #37:

score: 0
Accepted
time: 5229ms
memory: 17912kb

input:

300000 20050117

output:

579859619

result:

ok 1 number(s): "579859619"

Test #38:

score: 0
Accepted
time: 5491ms
memory: 18108kb

input:

300000 22223333

output:

596066085

result:

ok 1 number(s): "596066085"

Test #39:

score: 0
Accepted
time: 5354ms
memory: 18136kb

input:

300000 175846372

output:

660364393

result:

ok 1 number(s): "660364393"

Test #40:

score: 0
Accepted
time: 5357ms
memory: 18140kb

input:

299999 9999999

output:

954865020

result:

ok 1 number(s): "954865020"

Test #41:

score: 0
Accepted
time: 5426ms
memory: 17920kb

input:

299998 55556666

output:

904862432

result:

ok 1 number(s): "904862432"

Test #42:

score: 0
Accepted
time: 2292ms
memory: 16028kb

input:

190733 31756136

output:

880544587

result:

ok 1 number(s): "880544587"

Test #43:

score: 0
Accepted
time: 2423ms
memory: 16108kb

input:

198497 463488298

output:

185220207

result:

ok 1 number(s): "185220207"

Test #44:

score: 0
Accepted
time: 5513ms
memory: 17980kb

input:

299997 0

output:

16

result:

ok 1 number(s): "16"

Test #45:

score: 0
Accepted
time: 1952ms
memory: 15520kb

input:

168168 296157813

output:

798716760

result:

ok 1 number(s): "798716760"

Test #46:

score: 0
Accepted
time: 1073ms
memory: 14168kb

input:

114514 1919810

output:

783513290

result:

ok 1 number(s): "783513290"
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