QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#797358#9553. The HermitHalloWorldAC ✓159ms29480kbC++201.5kb2024-12-02 21:27:382024-12-02 21:27:39

Judging History

你现在查看的是最新测评结果

  • [2024-12-02 21:27:39]
  • 评测
  • 测评结果:AC
  • 用时:159ms
  • 内存:29480kb
  • [2024-12-02 21:27:38]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ull unsigned long long
#define SZ(x) ((int)(x).size())
#define debug(a) cout<<#a<<":"<<a<<endl
#define rep(i,a,b) for(int i=a;i<=b;i++)
#define per(i,b,a) for(int i=b;i>=a;i--)
constexpr int N=100010;
constexpr int INF=2e9;
constexpr ll LLF=2e18;
constexpr ll mod=998244353;
constexpr int dir[4][2]={{-1,0},{1,0},{0,-1},{0,1}};
ll powmod(ll a,ll b,ll mod=mod) {ll res=1;a%=mod;for(;b;b>>=1){if(b&1)res=res*a%mod;a=a*a%mod;}return res;}
//ll inv(ll a){return powmod(a,mod-2);}
ll n,m,ans=0;
ll inv[N],inc[N];
void init(){
	inc[0]=1; for(int i=1;i<N;i++) inc[i]=inc[i-1]*i%mod;
	inv[N-1]=powmod(inc[N-1],mod-2);
	for(int i=N-2;i>=1;i--) inv[i]=inv[i+1]*(i+1)%mod;
}
ll C(int a,int b){	
	if(b==0) return 1;
	if (a<b) return 0; if (a==b) return 1;
	return inc[a]*inv[a-b]%mod*inv[b]%mod;
}
ll f[N][31];
void solve() {
	init();
	cin>>m>>n;
	ans=C(m,n)*n%mod;
	rep(i,1,m) f[i][1]=1;
	rep(i,2,30)rep(j,1,m){
		for(int k=2;k*j<=m;k++){
			f[k*j][i]=(f[k*j][i]+f[j][i-1])%mod;
		}
	}
	rep(i,1,30)rep(j,1,m){
//		cout<<j<<" "<<i<<" "<<f[j][i]<<"\n";
		if(n-i>=0){
			ll k=C((m/j)-1,n-i);
//			cout<<j<<" "<<f[j][i]<<" "<<k<<'\n';
			if((m/j)-1>=0) ans=(mod+ans-f[j][i]*C((m/j)-1,n-i)%mod)%mod;
			else ans=(mod+ans-f[j][i])%mod;
		}	
	}
	cout<<ans<<'\n';
}
int main() {
	ios::sync_with_stdio(false);cin.tie(nullptr);
	//cout<<fixed<<setprecision(10);
	//	int testcase;cin>>testcase;rep(_,1,testcase){
	solve();
	//	}
	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: 0ms
memory: 7064kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 2ms
memory: 6920kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 120ms
memory: 29452kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 11ms
memory: 10956kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 117ms
memory: 29464kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 105ms
memory: 29336kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 113ms
memory: 29468kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 2ms
memory: 6404kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 2ms
memory: 6864kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 1ms
memory: 5796kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 2ms
memory: 6296kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 0ms
memory: 6972kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 2ms
memory: 5284kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 2ms
memory: 5476kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 3ms
memory: 8976kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 0ms
memory: 6532kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 2ms
memory: 6876kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 116ms
memory: 29468kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 31ms
memory: 15060kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 10ms
memory: 11032kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 0ms
memory: 5172kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 129ms
memory: 29472kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 132ms
memory: 29388kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 132ms
memory: 29380kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 8ms
memory: 8964kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 116ms
memory: 29420kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 126ms
memory: 29396kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 134ms
memory: 29452kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 132ms
memory: 29396kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 12ms
memory: 11080kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 139ms
memory: 29468kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 134ms
memory: 29464kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 135ms
memory: 29388kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 158ms
memory: 29392kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 159ms
memory: 29424kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 138ms
memory: 29392kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 127ms
memory: 29452kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 2ms
memory: 5672kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 0ms
memory: 7112kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 0ms
memory: 6444kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 0ms
memory: 7160kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 2ms
memory: 6444kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 2ms
memory: 5232kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 2ms
memory: 6532kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 2ms
memory: 7076kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

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

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 77ms
memory: 22996kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 70ms
memory: 23064kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 70ms
memory: 23320kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 117ms
memory: 29480kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 114ms
memory: 29476kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 105ms
memory: 29456kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 115ms
memory: 29392kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed