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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#410031#3161. Another Coin Weighing PuzzleohiostatescarletAC ✓94ms4384kbC++17919b2024-05-13 06:22:122024-05-13 06:22:12

Judging History

你现在查看的是最新测评结果

  • [2024-05-13 06:22:12]
  • 评测
  • 测评结果:AC
  • 用时:94ms
  • 内存:4384kb
  • [2024-05-13 06:22:12]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
#define L long long
L MOD = 998244353ll;
L POW(L b, L p) {
  if (p == 0) return 1;
  L res = POW(b, p / 2);
  return ((res * res) % MOD * ((p&1)?b:1)) % MOD;
}


int main() {
    ios_base::sync_with_stdio(0); cin.tie(0);
    L m, k;
    cin >> m >> k;
    vector<char> sieve(k+1, 0);
    vector<bool> sqr(k+1, 0);
    for (int i = 2; i <= k; i++) {
        if (!sieve[i]) {
            for (int j = i; j <= k; j += i) {
                sieve[j]++;
            }
            L s = ((L)i) * i;
            for (L j = s; j <= k; j += s) {
                sqr[j] = true;
            }
        }
    }
    L sol = 1;
    for (int i = 1; i <= k; i++) {
        if (!sqr[i]) {
            int mobius = (sieve[i]%2) ? -1 : 1;
            sol = (sol + mobius * (POW(2 * (k / i) + 1, m) - 1) + MOD) % MOD;
        }
    }
    cout << sol << '\n';
}

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 3524kb

input:

2 1

output:

9

result:

ok single line: '9'

Test #2:

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

input:

2 2

output:

17

result:

ok single line: '17'

Test #3:

score: 0
Accepted
time: 1ms
memory: 3612kb

input:

10000 10000

output:

689223145

result:

ok single line: '689223145'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3776kb

input:

9999 31

output:

986106162

result:

ok single line: '986106162'

Test #5:

score: 0
Accepted
time: 1ms
memory: 3540kb

input:

57 9817

output:

447253096

result:

ok single line: '447253096'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3476kb

input:

501 499

output:

247755220

result:

ok single line: '247755220'

Test #7:

score: 0
Accepted
time: 11ms
memory: 3552kb

input:

97424 174829

output:

964884269

result:

ok single line: '964884269'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3596kb

input:

11 13

output:

729153057

result:

ok single line: '729153057'

Test #9:

score: 0
Accepted
time: 17ms
memory: 3628kb

input:

200000 200000

output:

803771125

result:

ok single line: '803771125'

Test #10:

score: 0
Accepted
time: 0ms
memory: 3536kb

input:

199999 562

output:

865836540

result:

ok single line: '865836540'

Test #11:

score: 0
Accepted
time: 12ms
memory: 3608kb

input:

3539 189423

output:

530738158

result:

ok single line: '530738158'

Test #12:

score: 0
Accepted
time: 15ms
memory: 3612kb

input:

198324 173852

output:

963717515

result:

ok single line: '963717515'

Test #13:

score: 0
Accepted
time: 0ms
memory: 3476kb

input:

1 1

output:

3

result:

ok single line: '3'

Test #14:

score: 0
Accepted
time: 94ms
memory: 4384kb

input:

1000000 1000000

output:

800590912

result:

ok single line: '800590912'

Test #15:

score: 0
Accepted
time: 56ms
memory: 4376kb

input:

5034 999999

output:

946555033

result:

ok single line: '946555033'

Test #16:

score: 0
Accepted
time: 1ms
memory: 3744kb

input:

999998 2042

output:

713878368

result:

ok single line: '713878368'