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QOJ
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 Puzzle | ohiostatescarlet | AC ✓ | 94ms | 4384kb | C++17 | 919b | 2024-05-13 06:22:12 | 2024-05-13 06:22:12 |
Judging History
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'