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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
#762794#9553. The Hermitwsxcb#AC ✓126ms24820kbC++171.3kb2024-11-19 16:40:582024-11-19 16:41:00

Judging History

你现在查看的是最新测评结果

  • [2024-11-19 16:41:00]
  • 评测
  • 测评结果:AC
  • 用时:126ms
  • 内存:24820kb
  • [2024-11-19 16:40:58]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define pb push_back
#define se second
#define fi first
const int N=1e5+5,mod=998244353;
#define int long long
ll ans=0;
ll fac[N],invfac[N];
ll ksm(ll a,ll b){
	ll ans=1;
	while(b){
		if(b&1)ans=ans*a%mod;
		a=a*a%mod;b/=2; 
	}
	return ans%mod;
}
ll C(int x,int y){
	if(x<y)return 0;
	return fac[x]*invfac[y]%mod*invfac[x-y]%mod;
}
int m,n;
ll dp[N][25];
void add(ll &x,ll y){
	x+=y;
	if(x>=mod)x-=mod;
}
ll get(ll x,ll y){
	ll ans=C(x,y);
	if(y>x)return 0;
	for(int i=2;i<=x+1;i++){
		int c=(x+1)/i-1;
		ans=(ans-C(c,y-1)+mod)%mod;
	}
	return ans%mod;
}
void solve(){
	
	cin>>m>>n;
	
	fac[0]=1;
	for(int i=1;i<=m;i++)fac[i]=fac[i-1]*i%mod;
	
	invfac[m]=ksm(fac[m],mod-2);
	
	for(int i=m-1;i>=0;i--)
	
	invfac[i]=invfac[i+1]*(i+1)%mod;
	
	ans=1ll*C(m,n)*n%mod;
	
	
	ll res=0;
	for(int i=1;i<=m;i++){
		add(dp[i][1],1);
		for(int j=i+i;j<=m;j+=i){
			for(int k=1;k<20;k++){
				add(dp[j][k+1],dp[i][k]);
			}
		}
	}
	for(int i=1;i<=min(20*1ll,n);i++){
		for(int j=1;j<=m;j++){
			int x=m/j-1;
			ll g=dp[j][i]*get(x,n-i)%mod*i%mod;		
			ans=(ans-g+mod)%mod;
		}
	}
	cout<<(ans+mod)%mod<<'\n';
}
signed main(){
	ios::sync_with_stdio(false);
	cin.tie(0);cout.tie(0);
	int t=1;
	//cin>>t;
	while(t--){
		solve();
	}
	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: 1ms
memory: 5632kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 0ms
memory: 5736kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 53ms
memory: 24644kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 5ms
memory: 7932kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 71ms
memory: 24692kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 33ms
memory: 24684kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 110ms
memory: 24764kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 1ms
memory: 5724kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 1ms
memory: 5652kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 1ms
memory: 5772kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 1ms
memory: 5652kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 1ms
memory: 5716kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 0ms
memory: 5692kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 0ms
memory: 5856kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 1ms
memory: 6044kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 1ms
memory: 5844kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 1ms
memory: 5852kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 63ms
memory: 24756kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 20ms
memory: 12516kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 10ms
memory: 8112kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 1ms
memory: 5720kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 72ms
memory: 24800kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 55ms
memory: 24696kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 53ms
memory: 24764kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 8ms
memory: 7744kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 42ms
memory: 24764kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 54ms
memory: 24692kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 60ms
memory: 24752kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 63ms
memory: 24732kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 8ms
memory: 6372kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 114ms
memory: 24732kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 116ms
memory: 24692kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 112ms
memory: 24804kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 126ms
memory: 24808kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 58ms
memory: 24756kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 57ms
memory: 23536kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 61ms
memory: 24608kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 1ms
memory: 5636kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 0ms
memory: 3688kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 1ms
memory: 5632kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 0ms
memory: 3548kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 1ms
memory: 5712kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 1ms
memory: 5652kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 1ms
memory: 5692kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 1ms
memory: 5656kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 1ms
memory: 5768kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 48ms
memory: 19856kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 68ms
memory: 18964kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 73ms
memory: 19144kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 91ms
memory: 24732kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 94ms
memory: 24820kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 45ms
memory: 24688kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 64ms
memory: 24696kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed