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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
#754087#9553. The Hermitucup-team5318#AC ✓166ms45060kbC++141.8kb2024-11-16 14:11:502024-11-16 14:11:50

Judging History

你现在查看的是测评时间为 2024-11-16 14:11:50 的历史记录

  • [2024-11-18 19:46:53]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:AC
  • 用时:180ms
  • 内存:45024kb
  • [2024-11-18 19:43:48]
  • hack成功,自动添加数据
  • (/hack/1196)
  • [2024-11-16 14:11:50]
  • 评测
  • 测评结果:100
  • 用时:166ms
  • 内存:45060kb
  • [2024-11-16 14:11:50]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
const int N=1e5+5,mod=998244353;
int fac[N],inv[N],n,m;
int power(int a,int b){int res=1;for(;b;b>>=1){if(b&1)res=1ll*res*a%mod;a=1ll*a*a%mod;}return res;}
void init()
{
	fac[0]=1;for(int i=1;i<N;i++)fac[i]=1ll*fac[i-1]*i%mod;
	inv[N-1]=power(fac[N-1],mod-2);
	for(int i=N-2;i>=0;i--)inv[i]=1ll*inv[i+1]*(i+1)%mod;
}
int c(int x,int y){if(x<0 || y<0 || x<y)return 0;return 1ll*fac[x]*inv[y]%mod*inv[x-y]%mod;}
int d[N];
vector<int>g[N],f[N];
int h[N][21],h1[N][21];
void calc(int len)
{
	if(g[len].size())return ;
	g[len].resize(len+1);
	for(int i=1;i<=len;i++)
	{
		g[len][i]=c(len,i);
		for(int j=1;j<=len;j++)
		{
			if(len/j-1>=i-1)g[len][i]=(g[len][i]-c(len/j-1,i-1)+mod)%mod;
			else break;
		}
	}
}
vector<int>sd[N];
int main()
{
	// freopen(".in.txt","r",stdin);
	init();
	scanf("%d %d",&n,&m);
	for(int i=1;i<=n;i++)for(int j=i;j<=n;j+=i)d[j]++,sd[j].push_back(i);
	for(int i=1;i<=n;i++)calc(n/i);
	for(int i=1;i<=n;i++)
	{
		h[i][1]=1;
		for(auto j:sd[i])if(j!=i)for(int k=2;k<=20;k++)h[i][k]=(h[i][k]+h[j][k-1])%mod;
	}
	for(int i=1;i<=n;i++)
	{
		h1[i][0]=1;
		for(auto j:sd[i])for(int k=1;k<=20;k++)h1[i][k]=(h1[i][k]+h[j][k])%mod;
	}
	int ans=0;
	for(int i=n;i>=1;i--)
	{
		int num=n/i-1;
		f[i].resize(num+2);
		int res=0;
		for(int j=1;j<=min(m,num);j++)
		{
			f[i][j]=1ll*g[n/i][j]*j%mod;
			for(int k=i*2;k<=n;k+=i)
			{
				if(j>=f[k].size())break;
				f[i][j]=(f[i][j]-f[k][j]+mod)%mod;
			}
			if(m-j<=20)
			{
				// cout<<i<<" "<<m-j<<" "<<h[i][m-j]<<" "<<f[i][j]<<" "<<c(d[i],m-j)<<endl;
				ans=(ans+1ll*f[i][j]*h1[i][m-j])%mod;
			}
			// res=(res+1ll*f[i][j]*c(d[i],m-j))%mod;
		}
		// cout<<i<<" "<<res<<endl;
	}
	printf("%d\n",ans);
	return 0;
}

这程序好像有点Bug,我给组数据试试?

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 15848kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 3ms
memory: 15840kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 151ms
memory: 45028kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 15ms
memory: 17476kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 155ms
memory: 44932kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 126ms
memory: 44968kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 136ms
memory: 44928kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 0ms
memory: 15880kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 4ms
memory: 15912kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 4ms
memory: 16228kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 3ms
memory: 16280kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 3ms
memory: 16168kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 0ms
memory: 15896kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 4ms
memory: 15832kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 5ms
memory: 16520kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 0ms
memory: 15952kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 4ms
memory: 15968kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 150ms
memory: 44952kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 41ms
memory: 29220kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 13ms
memory: 18128kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 0ms
memory: 16156kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 153ms
memory: 44940kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 153ms
memory: 44972kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 146ms
memory: 44932kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 13ms
memory: 17676kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 126ms
memory: 44848kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 126ms
memory: 45032kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 166ms
memory: 44928kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 154ms
memory: 44864kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 13ms
memory: 19128kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 140ms
memory: 44844kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 146ms
memory: 45060kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 121ms
memory: 44960kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 146ms
memory: 44948kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 144ms
memory: 44848kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 143ms
memory: 43760kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 150ms
memory: 43940kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 4ms
memory: 16148kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 0ms
memory: 15840kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 3ms
memory: 16212kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 3ms
memory: 16196kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 4ms
memory: 15776kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 3ms
memory: 15836kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 3ms
memory: 13712kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 3ms
memory: 16128kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 3ms
memory: 15788kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 115ms
memory: 37120kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 90ms
memory: 36204kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 78ms
memory: 38576kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 145ms
memory: 44980kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 157ms
memory: 44968kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 138ms
memory: 44916kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 162ms
memory: 45044kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed