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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#56919#3161. Another Coin Weighing PuzzleAl0kahdeAC ✓69ms5916kbC++1.1kb2022-10-21 21:48:572022-10-21 21:48:58

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2022-10-21 21:48:58]
  • 评测
  • 测评结果:AC
  • 用时:69ms
  • 内存:5916kb
  • [2022-10-21 21:48:57]
  • 提交

answer

#include <iostream>
#include <cstring>
#include <cstdio>
using ll = long long;
using namespace std;
const int maxn = 1000100, mod = 998244353;
char mu[maxn];
bool notPrime[maxn];
int prime[maxn / 8], pn;

ll qpow(ll N, int po = mod - 2) {
	ll cur = 1;
	for (; po; po >>= 1) {
		if (po & 1) {
			cur = cur * N % mod;
		}
		N = N * N % mod;
	}
	return cur;
}

void linearSieve(int N) {
	notPrime[1] = notPrime[0] = true;
	mu[1] = 1;
	for (int i = 2; i <= N; i++) {
		if (!notPrime[i]) {
			prime[pn++] = i;
			mu[i] = -1;
		}
		for (int j = 0; j < pn; j++) {
			if ((ll)i * prime[j] > N) break;
			notPrime[i * prime[j]] = true;
			if (i % prime[j] == 0) {
				break;
			} else {
				mu[i * prime[j]] = mu[i] * mu[prime[j]];
			}
		}
	}
}

inline void cmod(ll &val) {
	val %= mod;
	if (val < 0)
		val += mod;
}

ll ways(int m, int k) {
	ll tot = 1;
	for (int i = 1; i <= k; i++) {
		tot += mu[i] * (qpow(k / i * 2 + 1, m) - 1);
	}
	cmod(tot);
	return tot;
}

int main() {
	int m, k;
	cin >> m >> k;
	linearSieve(k);
	ll ans = ways(m, k);
	cmod(ans);
	cout << ans << endl; 
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3552kb

input:

2 1

output:

9

result:

ok single line: '9'

Test #2:

score: 0
Accepted
time: 2ms
memory: 3688kb

input:

2 2

output:

17

result:

ok single line: '17'

Test #3:

score: 0
Accepted
time: 4ms
memory: 3708kb

input:

10000 10000

output:

689223145

result:

ok single line: '689223145'

Test #4:

score: 0
Accepted
time: 2ms
memory: 3688kb

input:

9999 31

output:

986106162

result:

ok single line: '986106162'

Test #5:

score: 0
Accepted
time: 2ms
memory: 3712kb

input:

57 9817

output:

447253096

result:

ok single line: '447253096'

Test #6:

score: 0
Accepted
time: 1ms
memory: 3688kb

input:

501 499

output:

247755220

result:

ok single line: '247755220'

Test #7:

score: 0
Accepted
time: 13ms
memory: 3988kb

input:

97424 174829

output:

964884269

result:

ok single line: '964884269'

Test #8:

score: 0
Accepted
time: 2ms
memory: 3532kb

input:

11 13

output:

729153057

result:

ok single line: '729153057'

Test #9:

score: 0
Accepted
time: 14ms
memory: 4048kb

input:

200000 200000

output:

803771125

result:

ok single line: '803771125'

Test #10:

score: 0
Accepted
time: 1ms
memory: 3576kb

input:

199999 562

output:

865836540

result:

ok single line: '865836540'

Test #11:

score: 0
Accepted
time: 11ms
memory: 4096kb

input:

3539 189423

output:

530738158

result:

ok single line: '530738158'

Test #12:

score: 0
Accepted
time: 8ms
memory: 3968kb

input:

198324 173852

output:

963717515

result:

ok single line: '963717515'

Test #13:

score: 0
Accepted
time: 2ms
memory: 3732kb

input:

1 1

output:

3

result:

ok single line: '3'

Test #14:

score: 0
Accepted
time: 69ms
memory: 5916kb

input:

1000000 1000000

output:

800590912

result:

ok single line: '800590912'

Test #15:

score: 0
Accepted
time: 45ms
memory: 5708kb

input:

5034 999999

output:

946555033

result:

ok single line: '946555033'

Test #16:

score: 0
Accepted
time: 0ms
memory: 3580kb

input:

999998 2042

output:

713878368

result:

ok single line: '713878368'