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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#76945#3161. Another Coin Weighing PuzzleWTR2007AC ✓103ms11924kbC++201.2kb2023-02-12 18:36:582023-02-12 18:37:00

Judging History

This is the latest submission verdict.

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-02-12 18:37:00]
  • Judged
  • Verdict: AC
  • Time: 103ms
  • Memory: 11924kb
  • [2023-02-12 18:36:58]
  • Submitted

answer

#include<bits/stdc++.h>
#define MULT_TEST 0
#define int long long
using namespace std;
typedef unsigned long long ull;
const int INF = 0x3f3f3f3f;
const int MOD = 998244353;
inline int read() {
	int w = 0, f = 1;
	char ch = getchar();
	while (ch < '0' || ch > '9') {
		if(ch == '-') f = -1;
		ch = getchar();
	}
	while (ch >= '0' && ch <= '9') {
		w = (w << 1) + (w << 3) + ch - 48;
		ch = getchar();
	}
	return w * f;
}
inline int Pow(int a, int b){
	int ans = 1;
	for(; b; b >>= 1){
		if(b & 1) ans = ans * a % MOD;
		a = a * a % MOD;
	}
	return ans;
}
inline void Solve() {
	int m, k, ans = 1;
	m = read(); k = read();
	vector<int> prime, mu(k + 1);
	vector<bool> vis(k + 1);
	mu[1] = 1;
	for (int i = 2; i <= k; i++) {
		if (!vis[i]) {
			prime.push_back(i);
			mu[i] = -1;
		}
		for (auto p : prime) {
			if (i * p > k) break;
			vis[i * p] = 1;
			if (i % p == 0) break;
			mu[p * i] = -mu[i];
		}
	}
	for (int i = 1; i <= k; i++) {
		ans += mu[i] * (Pow(2 * (k / i) % MOD + 1, m) - 1 + MOD) % MOD;
		ans = (ans % MOD + MOD) % MOD;
	}
	printf("%lld\n", ans);
}
signed main() {
	int T = 1;
#if MULT_TEST
	T = read();
#endif 
	while (T--) Solve();
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3472kb

input:

2 1

output:

9

result:

ok single line: '9'

Test #2:

score: 0
Accepted
time: 2ms
memory: 3464kb

input:

2 2

output:

17

result:

ok single line: '17'

Test #3:

score: 0
Accepted
time: 3ms
memory: 3704kb

input:

10000 10000

output:

689223145

result:

ok single line: '689223145'

Test #4:

score: 0
Accepted
time: 1ms
memory: 3560kb

input:

9999 31

output:

986106162

result:

ok single line: '986106162'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3724kb

input:

57 9817

output:

447253096

result:

ok single line: '447253096'

Test #6:

score: 0
Accepted
time: 3ms
memory: 3492kb

input:

501 499

output:

247755220

result:

ok single line: '247755220'

Test #7:

score: 0
Accepted
time: 18ms
memory: 4628kb

input:

97424 174829

output:

964884269

result:

ok single line: '964884269'

Test #8:

score: 0
Accepted
time: 2ms
memory: 3552kb

input:

11 13

output:

729153057

result:

ok single line: '729153057'

Test #9:

score: 0
Accepted
time: 21ms
memory: 4884kb

input:

200000 200000

output:

803771125

result:

ok single line: '803771125'

Test #10:

score: 0
Accepted
time: 2ms
memory: 3556kb

input:

199999 562

output:

865836540

result:

ok single line: '865836540'

Test #11:

score: 0
Accepted
time: 16ms
memory: 4840kb

input:

3539 189423

output:

530738158

result:

ok single line: '530738158'

Test #12:

score: 0
Accepted
time: 19ms
memory: 4608kb

input:

198324 173852

output:

963717515

result:

ok single line: '963717515'

Test #13:

score: 0
Accepted
time: 2ms
memory: 3600kb

input:

1 1

output:

3

result:

ok single line: '3'

Test #14:

score: 0
Accepted
time: 103ms
memory: 11924kb

input:

1000000 1000000

output:

800590912

result:

ok single line: '800590912'

Test #15:

score: 0
Accepted
time: 76ms
memory: 11828kb

input:

5034 999999

output:

946555033

result:

ok single line: '946555033'

Test #16:

score: 0
Accepted
time: 1ms
memory: 3512kb

input:

999998 2042

output:

713878368

result:

ok single line: '713878368'