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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#291479#5817. 小学生数学题Yuics100 ✓527ms324788kbC++14862b2023-12-26 19:33:292023-12-26 19:33:30

Judging History

你现在查看的是最新测评结果

  • [2023-12-26 19:33:30]
  • 评测
  • 测评结果:100
  • 用时:527ms
  • 内存:324788kb
  • [2023-12-26 19:33:29]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;
using i64 = long long;

constexpr int N = 2e7 + 7;
constexpr i64 mod = 998244353;

i64 n, k, cnt;
i64 inv[N], fac[N], pri[N];

i64 power(i64 a, i64 b) {
	i64 res = 1 % mod;
	for (; b; b >>= 1) {
		if (b & 1) res = res * a % mod;
		a = a * a % mod;
	}
	return res;
}

int main() {
	scanf("%lld %lld", &n, &k);
	
	inv[1] = 1;
	for (i64 i = 2; i <= n; i++) {
		if (!pri[i]) {
			pri[i] = i;
			fac[++cnt] = i;
			inv[i] = power(power(i, mod - 2), k);
		}
		for (i64 j = 1; fac[j] * i <= n && fac[j] < pri[i]; j++) {
			pri[fac[j] * i] = fac[j];
			inv[fac[j] * i] = inv[fac[j]] * inv[i] % mod;
		}
	}
	
	i64 tot = 1, ans = 0;
	for (i64 i = 1; i <= n; i++) {
		ans = ((ans + tot * inv[i]) % mod) % mod;
		tot = tot * (i + 1) % mod;
	}
	
	printf("%lld\n", ans);
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 10
Accepted
time: 224ms
memory: 159540kb

input:

9450395 1

output:

688545438

result:

ok single line: '688545438'

Test #2:

score: 10
Accepted
time: 192ms
memory: 151564kb

input:

8978812 1

output:

334565356

result:

ok single line: '334565356'

Test #3:

score: 10
Accepted
time: 192ms
memory: 151444kb

input:

8944235 1

output:

982802915

result:

ok single line: '982802915'

Test #4:

score: 10
Accepted
time: 156ms
memory: 120920kb

input:

7081118 3

output:

599009773

result:

ok single line: '599009773'

Test #5:

score: 10
Accepted
time: 168ms
memory: 134492kb

input:

7904241 3

output:

871243720

result:

ok single line: '871243720'

Test #6:

score: 10
Accepted
time: 211ms
memory: 164888kb

input:

9921275 3

output:

549818101

result:

ok single line: '549818101'

Test #7:

score: 10
Accepted
time: 460ms
memory: 288540kb

input:

17575748 14135489

output:

69236780

result:

ok single line: '69236780'

Test #8:

score: 10
Accepted
time: 527ms
memory: 324788kb

input:

19858362 14822524

output:

239890381

result:

ok single line: '239890381'

Test #9:

score: 10
Accepted
time: 508ms
memory: 308716kb

input:

18848696 15530895

output:

88125041

result:

ok single line: '88125041'

Test #10:

score: 10
Accepted
time: 469ms
memory: 291928kb

input:

17787945 13890407

output:

989967864

result:

ok single line: '989967864'

Extra Test:

score: 0
Extra Test Passed