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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#80674#4812. Counting Sequence_UMqwq_AC ✓2435ms19808kbC++201.1kb2023-02-24 16:49:082023-02-24 16:49:12

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.
  • [2023-02-24 16:49:12]
  • 评测
  • 测评结果:AC
  • 用时:2435ms
  • 内存:19808kb
  • [2023-02-24 16:49:08]
  • 提交

answer

#include<bits/stdc++.h>
#define p 998244353
#define MAXN 800010
#define MAXS 1610
using namespace std;
const int S=780;
const int mod=1600;
const int z=400005;
int add(int x,int y){return (x+y<p?x+y:x+y-p);}
int n,c,ans;
int f[2][MAXN],g[MAXS][MAXS];
signed main(){
	scanf("%d%d",&n,&c);
	int now=0,pre=1;f[0][z]=1;
	for(int i=1;i<=S;i++){
		now^=1;pre^=1;int lmt=i*(i-1)/2;
		for(int j=z-lmt;j<=z+lmt;j++)f[now][j]=0;
		for(int j=z-lmt;j<=z+lmt;j++){
			if(i>1)f[now][j-i+1]=add(f[now][j-i+1],1ll*f[pre][j]*c%p);
			f[now][j+i-1]=add(f[now][j+i-1],f[pre][j]);
		}
		for(int j=S;j<=n;j++){
			int tmp=n-i*j;if(abs(tmp)>lmt)continue;
			ans=add(ans,f[now][tmp+z]);//cerr<<i<<' '<<j<<' '<<f[now][tmp+z]<<endl;
		}
	}
	for(int i=1;i<S;i++)g[i][i]=1;
	for(int i=1;i<n;i++)
		for(int j=1;j<=2*S;j++){
			int now=i%mod,nxt=(i+j+1)%mod,val=g[now][j];//cerr<<i<<' '<<j<<' '<<g[now][j]<<endl;
			g[now][j]=0;if(!val)continue;
			g[nxt][j+1]=add(g[nxt][j+1],val);
			if(j==1)continue;nxt=(i+j-1)%mod;
			g[nxt][j-1]=add(g[nxt][j-1],1ll*val*c%p);
		}
	for(int i=1;i<=2*S;i++)ans=add(ans,g[n%mod][i]);
	printf("%d",ans);
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 336ms
memory: 15404kb

input:

5 3

output:

8

result:

ok 1 number(s): "8"

Test #2:

score: 0
Accepted
time: 339ms
memory: 14292kb

input:

1 0

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 366ms
memory: 19092kb

input:

2022 39

output:

273239559

result:

ok 1 number(s): "273239559"

Test #4:

score: 0
Accepted
time: 338ms
memory: 14308kb

input:

1 998244352

output:

1

result:

ok 1 number(s): "1"

Test #5:

score: 0
Accepted
time: 343ms
memory: 14880kb

input:

1 12345678

output:

1

result:

ok 1 number(s): "1"

Test #6:

score: 0
Accepted
time: 346ms
memory: 17544kb

input:

20 998998

output:

643731701

result:

ok 1 number(s): "643731701"

Test #7:

score: 0
Accepted
time: 349ms
memory: 15096kb

input:

23 123

output:

947753998

result:

ok 1 number(s): "947753998"

Test #8:

score: 0
Accepted
time: 340ms
memory: 15160kb

input:

50 5555

output:

745339864

result:

ok 1 number(s): "745339864"

Test #9:

score: 0
Accepted
time: 335ms
memory: 15724kb

input:

60 6666

output:

690992218

result:

ok 1 number(s): "690992218"

Test #10:

score: 0
Accepted
time: 337ms
memory: 15528kb

input:

100 50

output:

169678588

result:

ok 1 number(s): "169678588"

Test #11:

score: 0
Accepted
time: 344ms
memory: 14488kb

input:

500 88888

output:

216149701

result:

ok 1 number(s): "216149701"

Test #12:

score: 0
Accepted
time: 356ms
memory: 18912kb

input:

1000 213456

output:

270989457

result:

ok 1 number(s): "270989457"

Test #13:

score: 0
Accepted
time: 338ms
memory: 19644kb

input:

2000 119988

output:

756425375

result:

ok 1 number(s): "756425375"

Test #14:

score: 0
Accepted
time: 358ms
memory: 19800kb

input:

3000 998244352

output:

71841227

result:

ok 1 number(s): "71841227"

Test #15:

score: 0
Accepted
time: 337ms
memory: 19136kb

input:

3000 555555555

output:

79880116

result:

ok 1 number(s): "79880116"

Test #16:

score: 0
Accepted
time: 347ms
memory: 19164kb

input:

4321 1234

output:

949603993

result:

ok 1 number(s): "949603993"

Test #17:

score: 0
Accepted
time: 341ms
memory: 19620kb

input:

5000 0

output:

5

result:

ok 1 number(s): "5"

Test #18:

score: 0
Accepted
time: 347ms
memory: 19164kb

input:

5000 88888777

output:

833064960

result:

ok 1 number(s): "833064960"

Test #19:

score: 0
Accepted
time: 356ms
memory: 19132kb

input:

5000 35557777

output:

696388498

result:

ok 1 number(s): "696388498"

Test #20:

score: 0
Accepted
time: 357ms
memory: 19804kb

input:

10000 123456

output:

434296902

result:

ok 1 number(s): "434296902"

Test #21:

score: 0
Accepted
time: 416ms
memory: 18848kb

input:

20000 555555

output:

34806915

result:

ok 1 number(s): "34806915"

Test #22:

score: 0
Accepted
time: 464ms
memory: 19604kb

input:

30000 777888999

output:

58443551

result:

ok 1 number(s): "58443551"

Test #23:

score: 0
Accepted
time: 617ms
memory: 19568kb

input:

50000 2

output:

90102905

result:

ok 1 number(s): "90102905"

Test #24:

score: 0
Accepted
time: 756ms
memory: 19108kb

input:

70000 77998866

output:

202638568

result:

ok 1 number(s): "202638568"

Test #25:

score: 0
Accepted
time: 938ms
memory: 19160kb

input:

100000 998244352

output:

360520717

result:

ok 1 number(s): "360520717"

Test #26:

score: 0
Accepted
time: 926ms
memory: 19784kb

input:

100000 555555555

output:

613886009

result:

ok 1 number(s): "613886009"

Test #27:

score: 0
Accepted
time: 1214ms
memory: 19116kb

input:

150000 233333

output:

381065878

result:

ok 1 number(s): "381065878"

Test #28:

score: 0
Accepted
time: 1238ms
memory: 19116kb

input:

150000 20050117

output:

269891864

result:

ok 1 number(s): "269891864"

Test #29:

score: 0
Accepted
time: 1545ms
memory: 19344kb

input:

200000 114514

output:

262861613

result:

ok 1 number(s): "262861613"

Test #30:

score: 0
Accepted
time: 1601ms
memory: 18908kb

input:

200000 1919810

output:

77872388

result:

ok 1 number(s): "77872388"

Test #31:

score: 0
Accepted
time: 852ms
memory: 19764kb

input:

300000 0

output:

12

result:

ok 1 number(s): "12"

Test #32:

score: 0
Accepted
time: 2260ms
memory: 19132kb

input:

300000 1

output:

298803948

result:

ok 1 number(s): "298803948"

Test #33:

score: 0
Accepted
time: 2321ms
memory: 19136kb

input:

300000 2

output:

106751203

result:

ok 1 number(s): "106751203"

Test #34:

score: 0
Accepted
time: 2372ms
memory: 19808kb

input:

300000 1234

output:

427045479

result:

ok 1 number(s): "427045479"

Test #35:

score: 0
Accepted
time: 2415ms
memory: 19564kb

input:

300000 2345

output:

441593553

result:

ok 1 number(s): "441593553"

Test #36:

score: 0
Accepted
time: 2366ms
memory: 18572kb

input:

300000 20041115

output:

580367993

result:

ok 1 number(s): "580367993"

Test #37:

score: 0
Accepted
time: 2273ms
memory: 19628kb

input:

300000 20050117

output:

579859619

result:

ok 1 number(s): "579859619"

Test #38:

score: 0
Accepted
time: 2303ms
memory: 19588kb

input:

300000 22223333

output:

596066085

result:

ok 1 number(s): "596066085"

Test #39:

score: 0
Accepted
time: 2280ms
memory: 19624kb

input:

300000 175846372

output:

660364393

result:

ok 1 number(s): "660364393"

Test #40:

score: 0
Accepted
time: 2435ms
memory: 19196kb

input:

299999 9999999

output:

954865020

result:

ok 1 number(s): "954865020"

Test #41:

score: 0
Accepted
time: 2225ms
memory: 19212kb

input:

299998 55556666

output:

904862432

result:

ok 1 number(s): "904862432"

Test #42:

score: 0
Accepted
time: 1463ms
memory: 19072kb

input:

190733 31756136

output:

880544587

result:

ok 1 number(s): "880544587"

Test #43:

score: 0
Accepted
time: 1545ms
memory: 19364kb

input:

198497 463488298

output:

185220207

result:

ok 1 number(s): "185220207"

Test #44:

score: 0
Accepted
time: 746ms
memory: 19520kb

input:

299997 0

output:

16

result:

ok 1 number(s): "16"

Test #45:

score: 0
Accepted
time: 1375ms
memory: 19196kb

input:

168168 296157813

output:

798716760

result:

ok 1 number(s): "798716760"

Test #46:

score: 0
Accepted
time: 1006ms
memory: 19628kb

input:

114514 1919810

output:

783513290

result:

ok 1 number(s): "783513290"