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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#720434#5817. 小学生数学题KiharaTouma#100 ✓530ms245576kbC++14889b2024-11-07 12:45:172024-11-07 12:45:18

Judging History

你现在查看的是最新测评结果

  • [2024-11-07 12:45:18]
  • 评测
  • 测评结果:100
  • 用时:530ms
  • 内存:245576kb
  • [2024-11-07 12:45:17]
  • 提交

answer

//qoj5817
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;

const ll P = 998244353;
const int N = 2e7 + 10;
int n, k, fac[N];
int p[N], vis[N], pc, val[N];

ll qp(ll x, ll y){
	ll ans = 1;
	while(y){
		if(y & 1){
			ans = ans * x % P;
		}
		x = x * x % P;
		y >>= 1;
	}
	return ans;
}

int main(){
	scanf("%d%d", &n, &k);
	fac[0] = 1;
	for(int i = 1; i <= n; ++ i){
		fac[i] = (ll)fac[i-1] * i % P;
	}
	val[1] = 1;
	for(int i = 2; i <= n; ++ i){
		if(!vis[i]){
			p[++pc] = i;
			val[i] = qp(i, k);
			val[i] = qp(val[i], P-2);
		}
		for(int j = 1; j <= pc && i * p[j] <= n; ++ j){
			vis[i*p[j]] = 1;
			val[i*p[j]] = (ll)val[i] * val[p[j]] % P;
			if(i % p[j] == 0){
				break;
			}
		}
	}
	ll ans = 0;
	for(int i = 1; i <= n; ++ i){
		ans = (ans + 1ll * fac[i] * val[i]) % P;
	}
	printf("%lld\n", ans);
	return 0;
}
 

Details

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Pretests


Final Tests

Test #1:

score: 10
Accepted
time: 204ms
memory: 123416kb

input:

9450395 1

output:

688545438

result:

ok single line: '688545438'

Test #2:

score: 10
Accepted
time: 194ms
memory: 117716kb

input:

8978812 1

output:

334565356

result:

ok single line: '334565356'

Test #3:

score: 10
Accepted
time: 187ms
memory: 116248kb

input:

8944235 1

output:

982802915

result:

ok single line: '982802915'

Test #4:

score: 10
Accepted
time: 152ms
memory: 94976kb

input:

7081118 3

output:

599009773

result:

ok single line: '599009773'

Test #5:

score: 10
Accepted
time: 161ms
memory: 104836kb

input:

7904241 3

output:

871243720

result:

ok single line: '871243720'

Test #6:

score: 10
Accepted
time: 218ms
memory: 128732kb

input:

9921275 3

output:

549818101

result:

ok single line: '549818101'

Test #7:

score: 10
Accepted
time: 480ms
memory: 220504kb

input:

17575748 14135489

output:

69236780

result:

ok single line: '69236780'

Test #8:

score: 10
Accepted
time: 530ms
memory: 245576kb

input:

19858362 14822524

output:

239890381

result:

ok single line: '239890381'

Test #9:

score: 10
Accepted
time: 521ms
memory: 233716kb

input:

18848696 15530895

output:

88125041

result:

ok single line: '88125041'

Test #10:

score: 10
Accepted
time: 489ms
memory: 223008kb

input:

17787945 13890407

output:

989967864

result:

ok single line: '989967864'

Extra Test:

score: 0
Extra Test Passed