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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#50550#4812. Counting Sequencevme50AC ✓2350ms949568kbC++14804b2022-09-27 09:25:362022-09-27 09:25:38

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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.
  • [2022-09-27 09:25:38]
  • 评测
  • 测评结果：AC
  • 用时：2350ms
  • 内存：949568kb
查看
  • [2022-09-27 09:25:36]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define N 300005
#define M 805
#define MOD 998244353
int n,m,B,ans,dp1[N],z[N],dp[N][M];
void W(int &x,int y) {x+=y;if(x>=MOD) x-=MOD;}
int main()
{
	scanf("%d %d",&n,&m);dp1[0]=z[0]=1;ans=n>B;
	for(int i=1;i<=n;++i) if(i*(i+1)>n*2) {B=i;break;}
	for(int i=1;i<=B;++i) for(int j=n-B;j>=0;--j)
	{
		dp1[j]=0;if(B+i<=j) dp1[j]=dp1[j-B-i];
		if(B-i<=j) W(dp1[j],1ll*dp1[j-B+i]*m%MOD);
		if(j<n-B && !((n-B-j)%(i+1))) W(ans,dp1[j]);W(z[j],dp1[j]);
	}for(int i=1;i<=B;++i) dp[i][i]=1;
	for(int i=1;i<=n;++i) for(int j=1;j<=B && j<i;++j)
	{
		dp[i][j]=dp[i-j][j-1];
		if(j<B-1) W(dp[i][j],1ll*dp[i-j][j+1]*m%MOD);
	}for(int i=1;i<B;++i) W(ans,dp[n][i]);
	for(int i=1;i<=n;++i) W(ans,1ll*dp[i][B]*z[n-i]%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: 3ms
memory: 5836kb

input:

5 3

output:

8

result:

ok 1 number(s): "8"

Test #2:

score: 0
Accepted
time: 3ms
memory: 5908kb

input:

1 0

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 7ms
memory: 12104kb

input:

2022 39

output:

273239559

result:

ok 1 number(s): "273239559"

Test #4:

score: 0
Accepted
time: 3ms
memory: 5788kb

input:

1 998244352

output:

1

result:

ok 1 number(s): "1"

Test #5:

score: 0
Accepted
time: 0ms
memory: 5748kb

input:

1 12345678

output:

1

result:

ok 1 number(s): "1"

Test #6:

score: 0
Accepted
time: 4ms
memory: 5876kb

input:

20 998998

output:

643731701

result:

ok 1 number(s): "643731701"

Test #7:

score: 0
Accepted
time: 2ms
memory: 5828kb

input:

23 123

output:

947753998

result:

ok 1 number(s): "947753998"

Test #8:

score: 0
Accepted
time: 0ms
memory: 5944kb

input:

50 5555

output:

745339864

result:

ok 1 number(s): "745339864"

Test #9:

score: 0
Accepted
time: 2ms
memory: 5996kb

input:

60 6666

output:

690992218

result:

ok 1 number(s): "690992218"

Test #10:

score: 0
Accepted
time: 2ms
memory: 6004kb

input:

100 50

output:

169678588

result:

ok 1 number(s): "169678588"

Test #11:

score: 0
Accepted
time: 3ms
memory: 7384kb

input:

500 88888

output:

216149701

result:

ok 1 number(s): "216149701"

Test #12:

score: 0
Accepted
time: 5ms
memory: 8832kb

input:

1000 213456

output:

270989457

result:

ok 1 number(s): "270989457"

Test #13:

score: 0
Accepted
time: 2ms
memory: 12096kb

input:

2000 119988

output:

756425375

result:

ok 1 number(s): "756425375"

Test #14:

score: 0
Accepted
time: 2ms
memory: 15248kb

input:

3000 998244352

output:

71841227

result:

ok 1 number(s): "71841227"

Test #15:

score: 0
Accepted
time: 3ms
memory: 15272kb

input:

3000 555555555

output:

79880116

result:

ok 1 number(s): "79880116"

Test #16:

score: 0
Accepted
time: 8ms
memory: 19296kb

input:

4321 1234

output:

949603993

result:

ok 1 number(s): "949603993"

Test #17:

score: 0
Accepted
time: 9ms
memory: 21472kb

input:

5000 0

output:

5

result:

ok 1 number(s): "5"

Test #18:

score: 0
Accepted
time: 9ms
memory: 21504kb

input:

5000 88888777

output:

833064960

result:

ok 1 number(s): "833064960"

Test #19:

score: 0
Accepted
time: 11ms
memory: 21492kb

input:

5000 35557777

output:

696388498

result:

ok 1 number(s): "696388498"

Test #20:

score: 0
Accepted
time: 25ms
memory: 37348kb

input:

10000 123456

output:

434296902

result:

ok 1 number(s): "434296902"

Test #21:

score: 0
Accepted
time: 56ms
memory: 68760kb

input:

20000 555555

output:

34806915

result:

ok 1 number(s): "34806915"

Test #22:

score: 0
Accepted
time: 73ms
memory: 100160kb

input:

30000 777888999

output:

58443551

result:

ok 1 number(s): "58443551"

Test #23:

score: 0
Accepted
time: 149ms
memory: 163128kb

input:

50000 2

output:

90102905

result:

ok 1 number(s): "90102905"

Test #24:

score: 0
Accepted
time: 265ms
memory: 226024kb

input:

70000 77998866

output:

202638568

result:

ok 1 number(s): "202638568"

Test #25:

score: 0
Accepted
time: 419ms
memory: 320648kb

input:

100000 998244352

output:

360520717

result:

ok 1 number(s): "360520717"

Test #26:

score: 0
Accepted
time: 423ms
memory: 320476kb

input:

100000 555555555

output:

613886009

result:

ok 1 number(s): "613886009"

Test #27:

score: 0
Accepted
time: 823ms
memory: 478128kb

input:

150000 233333

output:

381065878

result:

ok 1 number(s): "381065878"

Test #28:

score: 0
Accepted
time: 791ms
memory: 478176kb

input:

150000 20050117

output:

269891864

result:

ok 1 number(s): "269891864"

Test #29:

score: 0
Accepted
time: 1204ms
memory: 635520kb

input:

200000 114514

output:

262861613

result:

ok 1 number(s): "262861613"

Test #30:

score: 0
Accepted
time: 1222ms
memory: 635384kb

input:

200000 1919810

output:

77872388

result:

ok 1 number(s): "77872388"

Test #31:

score: 0
Accepted
time: 2184ms
memory: 949500kb

input:

300000 0

output:

12

result:

ok 1 number(s): "12"

Test #32:

score: 0
Accepted
time: 2184ms
memory: 949460kb

input:

300000 1

output:

298803948

result:

ok 1 number(s): "298803948"

Test #33:

score: 0
Accepted
time: 2172ms
memory: 949468kb

input:

300000 2

output:

106751203

result:

ok 1 number(s): "106751203"

Test #34:

score: 0
Accepted
time: 2165ms
memory: 949488kb

input:

300000 1234

output:

427045479

result:

ok 1 number(s): "427045479"

Test #35:

score: 0
Accepted
time: 2171ms
memory: 949448kb

input:

300000 2345

output:

441593553

result:

ok 1 number(s): "441593553"

Test #36:

score: 0
Accepted
time: 2221ms
memory: 949524kb

input:

300000 20041115

output:

580367993

result:

ok 1 number(s): "580367993"

Test #37:

score: 0
Accepted
time: 2350ms
memory: 949412kb

input:

300000 20050117

output:

579859619

result:

ok 1 number(s): "579859619"

Test #38:

score: 0
Accepted
time: 2227ms
memory: 949356kb

input:

300000 22223333

output:

596066085

result:

ok 1 number(s): "596066085"

Test #39:

score: 0
Accepted
time: 2236ms
memory: 949500kb

input:

300000 175846372

output:

660364393

result:

ok 1 number(s): "660364393"

Test #40:

score: 0
Accepted
time: 2213ms
memory: 949568kb

input:

299999 9999999

output:

954865020

result:

ok 1 number(s): "954865020"

Test #41:

score: 0
Accepted
time: 2176ms
memory: 949468kb

input:

299998 55556666

output:

904862432

result:

ok 1 number(s): "904862432"

Test #42:

score: 0
Accepted
time: 1107ms
memory: 605836kb

input:

190733 31756136

output:

880544587

result:

ok 1 number(s): "880544587"

Test #43:

score: 0
Accepted
time: 1198ms
memory: 630832kb

input:

198497 463488298

output:

185220207

result:

ok 1 number(s): "185220207"

Test #44:

score: 0
Accepted
time: 2039ms
memory: 949416kb

input:

299997 0

output:

16

result:

ok 1 number(s): "16"

Test #45:

score: 0
Accepted
time: 966ms
memory: 535028kb

input:

168168 296157813

output:

798716760

result:

ok 1 number(s): "798716760"

Test #46:

score: 0
Accepted
time: 535ms
memory: 365880kb

input:

114514 1919810

output:

783513290

result:

ok 1 number(s): "783513290"
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