QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#752688#9553. The Hermitucup-team5697#AC ✓81ms27616kbC++231.1kb2024-11-16 09:16:392024-11-18 19:44:25

Judging History

你现在查看的是最新测评结果

  • [2024-11-18 19:44:25]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:AC
  • 用时:81ms
  • 内存:27616kb
  • [2024-11-18 19:43:48]
  • hack成功,自动添加数据
  • (/hack/1196)
  • [2024-11-16 09:16:39]
  • 评测
  • 测评结果:100
  • 用时:67ms
  • 内存:27608kb
  • [2024-11-16 09:16:39]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;bool Mbe;
namespace MAOJUN{

typedef long long ll;
const int N=1e5+5,MOD=998244353;
int n,m;
inline ll ksm(ll x){ll r=1;for(int y=MOD-2;y;y>>=1,x=x*x%MOD)if(y&1)r=r*x%MOD;return r;}
ll F[N],I[N];
inline ll C(int n,int m){return n<m?0:F[n]*I[m]%MOD*I[n-m]%MOD;}

vector<int>pr[N];
inline void ad(int&x,int y){x+=y;x>=MOD&&(x-=MOD);}
int dp[N][30];
inline void main(){
	scanf("%d%d",&m,&n);
	F[0]=1;for(int i=1;i<N;i++)F[i]=F[i-1]*i%MOD;
	I[N-1]=ksm(F[N-1]);for(int i=N-2;~i;i--)I[i]=I[i+1]*(i+1)%MOD;
	for(int i=1;i<N;i++)for(int j=i*2;j<N;j+=i)pr[j].emplace_back(i);
	for(int i=1;i<N;i++){
		dp[i][0]=1;
		for(int p:pr[i])for(int j=1;j<30;j++)
			ad(dp[i][j],dp[p][j-1]);
	}
	ll rs=C(m,n)*n%MOD;
	for(int i=1;i<=m;i++)
		for(int j=1;j<=n&&dp[i][j-1];j++)
			rs=(rs-dp[i][j-1]*C(m/i-1,n-j))%MOD;
	printf("%lld\n",(rs+MOD)%MOD);
}

}bool Med;int main(){
#ifdef LOCAL
	freopen("3.in","r",stdin);
	freopen("data.out","w",stdout);
#endif
	MAOJUN::main();
#ifdef LOCAL
	fprintf(stderr,"%lfs\n",clock()/1000.);
	fprintf(stderr,"%lfMB\n",(&Mbe-&Med)/1024./1024);
#endif
	return 0;
}

这程序好像有点Bug,我给组数据试试?

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 71ms
memory: 27552kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 68ms
memory: 27556kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 62ms
memory: 27480kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 56ms
memory: 27568kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 50ms
memory: 27496kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 68ms
memory: 27556kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 73ms
memory: 27584kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 79ms
memory: 27612kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 52ms
memory: 27556kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 58ms
memory: 27476kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 59ms
memory: 27572kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 59ms
memory: 27428kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 76ms
memory: 27552kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 65ms
memory: 27612kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 59ms
memory: 27500kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 59ms
memory: 27476kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 55ms
memory: 27472kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 57ms
memory: 27572kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 46ms
memory: 27564kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 55ms
memory: 27540kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 61ms
memory: 27572kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 62ms
memory: 27432kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 57ms
memory: 27540kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 59ms
memory: 27492kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 57ms
memory: 27544kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 62ms
memory: 27564kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 55ms
memory: 27512kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 60ms
memory: 27516kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 61ms
memory: 27428kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 55ms
memory: 27604kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 61ms
memory: 27608kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 56ms
memory: 27548kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 59ms
memory: 27580kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 54ms
memory: 27568kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 56ms
memory: 27512kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 56ms
memory: 27444kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 50ms
memory: 27428kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 71ms
memory: 27484kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 81ms
memory: 27608kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 69ms
memory: 27580kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 55ms
memory: 27604kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 49ms
memory: 27480kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 60ms
memory: 27436kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 50ms
memory: 27472kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 52ms
memory: 27512kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 52ms
memory: 27608kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 55ms
memory: 27484kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 51ms
memory: 27604kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 65ms
memory: 27572kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 60ms
memory: 27556kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 51ms
memory: 27608kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 56ms
memory: 27428kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 76ms
memory: 27616kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed