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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#778471#9553. The Hermitxcxc82#AC ✓514ms44952kbC++142.3kb2024-11-24 14:47:532024-11-24 14:47:53

Judging History

你现在查看的是最新测评结果

  • [2024-11-24 14:47:53]
  • 评测
  • 测评结果:AC
  • 用时:514ms
  • 内存:44952kb
  • [2024-11-24 14:47:53]
  • 提交

answer

#include<bits/stdc++.h>
#define raed read
#define int long long
using namespace std;
const int MAXN = 200010,INF = 0x3f3f3f3f,mod = 998244353;
const double eps = 0.0001;
inline int read(){
	int X=0; bool flag=1; char ch=getchar();
	while(ch<'0'||ch>'9') {if(ch=='-') flag=0; ch=getchar();}
	while(ch>='0'&&ch<='9') {X=(X<<1)+(X<<3)+ch-'0'; ch=getchar();}
	if(flag) return X;return ~(X-1);
}
int n,m,T,f[MAXN],in[MAXN];
int cnt[MAXN][25];//以i为开头,长度为j的方案数
vector<int> e[MAXN];
int f_pow(int a,int b){
	int ans = 1;
	while(b){
		if(b&1) ans = (ans*a%mod)%mod;
		b>>=1;
		a = (a*a)%mod;
	}
	return ans%mod;
}
int Get(int a,int b){
	a%=mod;
	b%=mod;
	return (a*f_pow(b,mod-2))%mod;
}
int C(int a,int b){//a个里选b个 
	int x = f[a];
	int y = f[b]*f[a-b]%mod;
	return Get(x,y);
}
int Cnt(int x,int l,int r){//x在[l,r]里的倍数数量 
	return r/x-(l-1)/x;
}
void topsort(){
	queue<int> q;
	for(int i=1;i<=m;i++){
		cnt[i][1] = 1;
		if(!in[i]){
			q.push(i);
		}
	}
	while(!q.empty()){
		int v = q.front();
		q.pop();
		for(auto u:e[v]){
			in[u]--;
			if(!in[u]) q.push(u);
			for(int i=1;i<=20;i++){
				cnt[u][i]+=cnt[v][i-1];
				cnt[u][i]%=mod;
			}
		}
	}
}
signed main(){
	f[0] = 1;
	for(int i=1;i<=100000;i++){
		f[i] = f[i-1]*i;
		f[i]%=mod;
	} 
	cin>>m>>n;
	for(int i=1;i<=m;i++){
		for(int j=i*2;j<=m;j+=i){
			e[i].push_back(j);
			in[j]++;
		}
	}
	topsort();
	/*for(int i=1;i<=m;i++){
			for(int j=1;j<=4;j++) cout<<cnt[i][j]<<" ";
			cout<<endl;
	}*/
	int ans = 0;
	for(int i=1;i<=m;i++){
		int X = m-i,Y = Cnt(i,i+1,m);//随意 / 全是i的倍数 
		int ax = 0;
		int ay = 0;
		if(X>=n-1) ax = C(X,n-1);
		if(Y>=n-1) ay = C(Y,n-1);
		int az = (ax-ay+mod)%mod;
		ans+=(az*n)%mod;
		ans%=mod;
		for(int j=2*i;j<=m;j+=i){
			for(int len=1;len<=20;len++){
				if(!cnt[i][len]) continue;
				int X = Cnt(i,j+1,m),Y = Cnt(j,j+1,m);
				int ax = 0;
				int ay = 0;
				if(n-len-1<0) continue;
				if(X<n-len-1) continue;
				else ax = C(X,n-len-1);
				if(Y<n-len-1) ay = 0;
				else ay = C(Y,n-len-1);
				int az = (ax-ay+mod)%mod;
				az = az*cnt[i][len]%mod;
				az = az*(n-len)%mod;
				ans+=az;
				ans%=mod;
			}
		}
	}
	cout<<ans<<endl;
}
/*
11 4
4 3
7
6 4
49
*/


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: 3ms
memory: 12884kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 3ms
memory: 12760kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 72ms
memory: 42500kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 10ms
memory: 15788kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 121ms
memory: 44556kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 108ms
memory: 42184kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 451ms
memory: 43144kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 3ms
memory: 12560kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 0ms
memory: 10776kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 3ms
memory: 12724kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 0ms
memory: 12580kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 3ms
memory: 13176kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 3ms
memory: 12912kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 3ms
memory: 12668kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 0ms
memory: 13660kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 3ms
memory: 12952kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 3ms
memory: 13272kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 82ms
memory: 44620kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 39ms
memory: 22332kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 41ms
memory: 16240kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 0ms
memory: 10492kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 141ms
memory: 44904kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 79ms
memory: 43152kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 76ms
memory: 42384kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 33ms
memory: 15832kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 345ms
memory: 42504kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 514ms
memory: 44716kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 78ms
memory: 42348kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 63ms
memory: 44548kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 15ms
memory: 16492kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 450ms
memory: 42500kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 454ms
memory: 44760kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 439ms
memory: 42496kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 434ms
memory: 44868kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 74ms
memory: 42404kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 72ms
memory: 41660kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 62ms
memory: 42352kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 3ms
memory: 12768kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 0ms
memory: 12712kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 2ms
memory: 13160kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 0ms
memory: 12780kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 0ms
memory: 13352kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 0ms
memory: 12616kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 2ms
memory: 12824kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 2ms
memory: 12980kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 0ms
memory: 13444kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 67ms
memory: 34276kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 274ms
memory: 31860kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 273ms
memory: 32004kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 257ms
memory: 42088kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 270ms
memory: 42404kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 348ms
memory: 44952kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 91ms
memory: 44876kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed