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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#244493#5817. 小学生数学题FriskLSZ100 ✓478ms186624kbC++141.0kb2023-11-09 10:11:422023-11-09 10:11:43

Judging History

你现在查看的是最新测评结果

  • [2023-11-09 10:11:43]
  • 评测
  • 测评结果:100
  • 用时:478ms
  • 内存:186624kb
  • [2023-11-09 10:11:42]
  • 提交

answer

#include<bits/stdc++.h>

using namespace std;

#define ll long long
#define ull unsigned ll
#define i128 __int128
#define db double
#define ld long db

#define M 20000005
#define N 200001
#define mod 998244353
#define mod2 1222827239
#define base 51787
#define base2 38833
#define inf 1e9+7
#define dinf 1e15
#define linf 7e18
#define eps 1e-15
#define delta 0.99777

ll qpow(ll a,ll b,ll p){
	ll e=1;
	while(b){
		if(b&1) e=e*a%p;
		a=a*a%p;
		b>>=1;
	}
	return e;
}

int n,k;

int prime[M],cnt;
bool vis[M];
int inv[M];
int fac[M];

void init(){
	inv[1]=1;
	fac[0]=fac[1]=1;
	for(int i=2;i<M;++i){
		fac[i]=1ll*fac[i-1]*i%mod;
		if(!vis[i]){
			prime[++cnt]=i;
			inv[i]=qpow(qpow(i,k,mod),mod-2,mod);
		}
		for(int j=1;j<=cnt&&i*prime[j]<M;++j){
			vis[i*prime[j]]=1;
			inv[i*prime[j]]=1ll*inv[i]*inv[prime[j]]%mod;
			if(i%prime[j]==0) break;
		}
	}
}

int ans;

int main(){
	scanf("%d %d",&n,&k);
	init();
	for(int i=1;i<=n;++i) ans=(ans+1ll*fac[i]*inv[i]%mod)%mod;
	printf("%d\n",ans);
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 10
Accepted
time: 327ms
memory: 186624kb

input:

9450395 1

output:

688545438

result:

ok single line: '688545438'

Test #2:

score: 10
Accepted
time: 372ms
memory: 185352kb

input:

8978812 1

output:

334565356

result:

ok single line: '334565356'

Test #3:

score: 10
Accepted
time: 317ms
memory: 185316kb

input:

8944235 1

output:

982802915

result:

ok single line: '982802915'

Test #4:

score: 10
Accepted
time: 317ms
memory: 185296kb

input:

7081118 3

output:

599009773

result:

ok single line: '599009773'

Test #5:

score: 10
Accepted
time: 327ms
memory: 186248kb

input:

7904241 3

output:

871243720

result:

ok single line: '871243720'

Test #6:

score: 10
Accepted
time: 328ms
memory: 184760kb

input:

9921275 3

output:

549818101

result:

ok single line: '549818101'

Test #7:

score: 10
Accepted
time: 457ms
memory: 185900kb

input:

17575748 14135489

output:

69236780

result:

ok single line: '69236780'

Test #8:

score: 10
Accepted
time: 469ms
memory: 184728kb

input:

19858362 14822524

output:

239890381

result:

ok single line: '239890381'

Test #9:

score: 10
Accepted
time: 467ms
memory: 185996kb

input:

18848696 15530895

output:

88125041

result:

ok single line: '88125041'

Test #10:

score: 10
Accepted
time: 478ms
memory: 185880kb

input:

17787945 13890407

output:

989967864

result:

ok single line: '989967864'

Extra Test:

score: 0
Extra Test Passed