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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 |
---|---|---|---|---|---|---|---|---|---|
#278323 | #3161. Another Coin Weighing Puzzle | ddl_VS_pigeon# | AC ✓ | 70ms | 11720kb | C++20 | 929b | 2023-12-07 14:50:52 | 2023-12-07 14:50:52 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
const int M = 998244353;
int qpw(int a, int b) {
a %= M;
if (b < 0) {
(b %= M - 1) += M - 1;
}
int c = 1;
for (; b; b >>= 1, a = 1ll * a * a % M) {
if (b & 1) {
c = 1ll * c * a % M;
}
}
return c;
}
int main(void) {
ios::sync_with_stdio(false);
cin.tie(nullptr), cout.tie(nullptr);
int n, k;
cin >> n >> k;
vector<int> vis(k + 1), mu(k + 1), pri;
mu[1] = 1;
for (int i = 2; i <= k; i++) {
if (!vis[i]) {
pri.emplace_back(i);
mu[i] = -1;
}
for (auto p : pri) {
if (1ll * i * p > k) {
break;
}
vis[i * p] = true;
if (i % p == 0) {
break;
}
mu[i * p] = -mu[i];
}
}
int ans = 1;
for (int i = 1; i <= k; i++) {
ans = (ans + 1ll * mu[i] * (qpw(k / i * 2 + 1, n) - 1)) % M;
}
cout << (ans % M + M) % M << '\n';
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 3500kb
input:
2 1
output:
9
result:
ok single line: '9'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
2 2
output:
17
result:
ok single line: '17'
Test #3:
score: 0
Accepted
time: 1ms
memory: 3644kb
input:
10000 10000
output:
689223145
result:
ok single line: '689223145'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3544kb
input:
9999 31
output:
986106162
result:
ok single line: '986106162'
Test #5:
score: 0
Accepted
time: 1ms
memory: 3640kb
input:
57 9817
output:
447253096
result:
ok single line: '447253096'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
501 499
output:
247755220
result:
ok single line: '247755220'
Test #7:
score: 0
Accepted
time: 12ms
memory: 4812kb
input:
97424 174829
output:
964884269
result:
ok single line: '964884269'
Test #8:
score: 0
Accepted
time: 0ms
memory: 3780kb
input:
11 13
output:
729153057
result:
ok single line: '729153057'
Test #9:
score: 0
Accepted
time: 13ms
memory: 5012kb
input:
200000 200000
output:
803771125
result:
ok single line: '803771125'
Test #10:
score: 0
Accepted
time: 0ms
memory: 3564kb
input:
199999 562
output:
865836540
result:
ok single line: '865836540'
Test #11:
score: 0
Accepted
time: 9ms
memory: 4924kb
input:
3539 189423
output:
530738158
result:
ok single line: '530738158'
Test #12:
score: 0
Accepted
time: 11ms
memory: 4940kb
input:
198324 173852
output:
963717515
result:
ok single line: '963717515'
Test #13:
score: 0
Accepted
time: 0ms
memory: 3504kb
input:
1 1
output:
3
result:
ok single line: '3'
Test #14:
score: 0
Accepted
time: 70ms
memory: 11548kb
input:
1000000 1000000
output:
800590912
result:
ok single line: '800590912'
Test #15:
score: 0
Accepted
time: 49ms
memory: 11720kb
input:
5034 999999
output:
946555033
result:
ok single line: '946555033'
Test #16:
score: 0
Accepted
time: 1ms
memory: 3636kb
input:
999998 2042
output:
713878368
result:
ok single line: '713878368'