QOJ.ac

QOJ

ID题目提交者结果用时内存语言文件大小提交时间测评时间
#777099#9553. The Hermitpl_erAC ✓103ms27600kbC++14911b2024-11-23 22:42:552024-11-23 22:43:03

Judging History

你现在查看的是最新测评结果

  • [2024-11-23 22:43:03]
  • 评测
  • 测评结果:AC
  • 用时:103ms
  • 内存:27600kb
  • [2024-11-23 22:42:55]
  • 提交

answer

#include <cstdio>
#include <vector>
using namespace std;
const int maxn=1e5+10;
const int Mod=998244353;
int dp[maxn][31];
int jc[maxn];
int ny[maxn];
int jcny[maxn];
vector<int> ve[maxn];
int C(int x,int y){
	if(x<y||y<0) return 0;
	return 1ll*jc[x]*jcny[y]%Mod*jcny[x-y]%Mod;
}
int main(){
	int m,n;
	scanf("%d%d",&m,&n);
	jc[0]=jc[1]=jcny[0]=jcny[1]=ny[1]=1;
	for(int i=2;i<=m;i++){
		jc[i]=1ll*jc[i-1]*i%Mod;
		ny[i]=1ll*(Mod-Mod/i)*ny[Mod%i]%Mod;
		jcny[i]=1ll*jcny[i-1]*ny[i]%Mod;
	}
	for(int i=1;i<=m;i++)
		for(int j=i;j<=m;j+=i)
			ve[j].push_back(i);
	int ans=1ll*C(m,n)*n%Mod;
	for(int i=1;i<=m;i++){
		dp[i][1]=1;
		for(int j:ve[i]){
			if(i!=j){
				for(int k=2;k<=30;k++)
					dp[i][k]=(dp[i][k]+dp[j][k-1])%Mod;
			}
		}
		for(int k=1;k<=30;k++){
			if(n<k) continue;
			ans=(ans-1ll*C(m/i-1,n-k)*dp[i][k]+Mod)%Mod;
		}
	}
	printf("%d",ans);
	return 0;
}

这程序好像有点Bug,我给组数据试试?

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 8188kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 2ms
memory: 8864kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 101ms
memory: 27528kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 4ms
memory: 9628kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 91ms
memory: 27404kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 83ms
memory: 27524kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 88ms
memory: 27464kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 2ms
memory: 9180kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 2ms
memory: 8476kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 2ms
memory: 9428kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 2ms
memory: 8420kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 0ms
memory: 8056kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 0ms
memory: 9288kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 0ms
memory: 8780kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 0ms
memory: 9060kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 0ms
memory: 7576kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 2ms
memory: 7852kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 97ms
memory: 27412kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 29ms
memory: 14204kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 8ms
memory: 9696kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 2ms
memory: 7992kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 91ms
memory: 27524kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 90ms
memory: 27540kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 91ms
memory: 27540kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 3ms
memory: 9332kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 87ms
memory: 27504kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 82ms
memory: 27408kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 101ms
memory: 27536kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 81ms
memory: 27440kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 10ms
memory: 10260kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 100ms
memory: 27524kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 103ms
memory: 27592kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 87ms
memory: 27528kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 90ms
memory: 27596kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 90ms
memory: 27404kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 86ms
memory: 26348kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 78ms
memory: 26224kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 2ms
memory: 8176kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 2ms
memory: 7480kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 2ms
memory: 8572kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 0ms
memory: 9184kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 0ms
memory: 8392kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 0ms
memory: 8432kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 0ms
memory: 8180kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

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

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 0ms
memory: 8908kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 56ms
memory: 21500kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 61ms
memory: 20476kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 48ms
memory: 22472kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 84ms
memory: 27424kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 79ms
memory: 27376kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 89ms
memory: 27492kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 82ms
memory: 27600kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed