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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
#761354#9553. The Hermitcppcppcpp3AC ✓24ms19528kbC++141.7kb2024-11-18 22:21:032024-11-18 22:21:04

Judging History

你现在查看的是最新测评结果

  • [2024-11-18 22:21:04]
  • 评测
  • 测评结果:AC
  • 用时:24ms
  • 内存:19528kb
  • [2024-11-18 22:21:03]
  • 提交

answer

#include<bits/stdc++.h>
#define FIO(file) freopen(file".in","r",stdin),freopen(file".out","w",stdout)
using namespace std;
const int N=1e6+5;
const int mod=998244353;

static char buf[1000000],*p1=buf,*p2=buf;
#define getchar() p1==p2&&(p2=(p1=buf)+fread(buf,1,1000000,stdin),p1==p2)?EOF:*p1++
inline int wrd(){int x=0,f=1;char c=getchar();while(c<'0' || c>'9'){if(c=='-') f=-1;c=getchar();}while(c>='0' && c<='9') {x=(x<<3)+(x<<1)+c-48;c=getchar();}return x*f;}
inline void write(int x){static char buf[20];static int len=-1;if(x<0)putchar('-'),x=-x;do buf[++len]=x%10,x/=10;while(x);while(len>=0)putchar(buf[len--]+48);}

int qpw(int a,int b){
	int as=1;
	while(b){
		if(b&1) as=1ll*as*a%mod;
		a=1ll*a*a%mod,b>>=1;
	}
	return as;
}
void ad(int &a,int b){(a+=b)>=mod&&(a-=mod);}

int n,m,as,fac[N],inv[N],pr[N],cnt;
bool vs[N];

void init(int n){
	fac[0]=1; for(int i=1;i<=n;++i) fac[i]=1ll*fac[i-1]*i%mod;
	inv[n]=qpw(fac[n],mod-2); for(int i=n;i;--i) inv[i-1]=1ll*inv[i]*i%mod;
	for(int i=2;i<=n;++i){
		if(!vs[i]) pr[++cnt]=i;
		for(int j=1;j<=cnt&&i*pr[j]<=n;++j){
			vs[i*pr[j]]=1;
			if(i%pr[j]==0) break;
		}
	}
}
int C(int n,int m){
	if(n<m || m<0) return 0;
	return 1ll*fac[n]*inv[m]%mod*inv[n-m]%mod;
}

int f[N],g[N];

signed main(){
	m=wrd(),n=wrd(),init(N-5);
	int len=min(n,(int)log2(m)+1);
	for(int i=1;i<=m;++i) f[i]=1,ad(as,C(m/i-1,n-1));
	
	for(int k=2;k<=len;++k){
		for(int i=1;i<=m;++i) g[i]=f[i];
		for(int j=1;j<=cnt&&pr[j]<=m;++j){
			for(int i=1;i*pr[j]<=m;++i) ad(g[i*pr[j]],g[i]);
		}
		for(int i=1;i<=m;++i){
			f[i]=(g[i]-f[i]+mod)%mod;
			ad(as,1ll*f[i]*C(m/i-1,n-k)%mod);
		}
	}
	as=(1ll*n*C(m,n)%mod-as+mod)%mod;
	write(as);
}

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: 15ms
memory: 15240kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 11ms
memory: 15700kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 17ms
memory: 15892kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 15ms
memory: 15876kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 22ms
memory: 17572kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 16ms
memory: 19268kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 19ms
memory: 19380kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 11ms
memory: 16012kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 15ms
memory: 15164kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 15ms
memory: 15284kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 11ms
memory: 15696kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 14ms
memory: 15708kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 15ms
memory: 15576kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 15ms
memory: 19020kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 14ms
memory: 15040kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 7ms
memory: 19048kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 15ms
memory: 17156kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 22ms
memory: 19284kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 13ms
memory: 17332kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 15ms
memory: 15200kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 7ms
memory: 15620kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 22ms
memory: 15864kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 22ms
memory: 17764kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 18ms
memory: 16100kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 15ms
memory: 15920kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 16ms
memory: 17800kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 17ms
memory: 17616kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 19ms
memory: 19364kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 15ms
memory: 17712kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 12ms
memory: 16160kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 20ms
memory: 19528kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 12ms
memory: 17688kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 24ms
memory: 16204kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 23ms
memory: 19296kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 15ms
memory: 16696kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 18ms
memory: 19476kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 15ms
memory: 17532kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 11ms
memory: 15820kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 15ms
memory: 15164kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 15ms
memory: 15236kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 3ms
memory: 15732kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 11ms
memory: 18924kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 11ms
memory: 15804kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 11ms
memory: 15380kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 11ms
memory: 16148kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 11ms
memory: 16240kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 12ms
memory: 17484kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 17ms
memory: 16008kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 12ms
memory: 15408kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 22ms
memory: 16508kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 22ms
memory: 16252kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 16ms
memory: 16100kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 18ms
memory: 17584kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed