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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#74178 | #3161. Another Coin Weighing Puzzle | UCSC_Ravioli | AC ✓ | 85ms | 10020kb | C++20 | 1.4kb | 2023-01-31 02:03:48 | 2023-01-31 02:03:49 |
Judging History
answer
// qdd on Jan 30, 2023
#ifdef qdd
#include <ringo>
#else
#include <bits/stdc++.h>
#define dbg(...)
#define dbgr(x, y)
#endif
using namespace std;
using ll = long long;
template <class T>
istream& operator>>(istream& is, vector<T>& v) {
for (T& x : v) is >> x;
return is;
}
template <class T>
ostream& operator<<(ostream& os, const vector<T>& v) {
bool f = 0;
for (const T& x : v) (f ? os << ' ' : os) << x, f = 1;
return os;
}
const int N = 1e6 + 7;
bool vis[N];
int mu[N], prime[N];
const ll P = 998244353;
constexpr ll qk(ll a, ll b, ll p) {
ll ans = 1 % p;
for (a %= p; b; b >>= 1, a = a * a % p)
if (b & 1) ans = ans * a % p;
return ans;
}
void get_mu() {
int tot = 0;
mu[1] = 1;
for (int i = 2; i < N; i++) {
if (!vis[i]) {
prime[tot++] = i;
mu[i] = -1;
}
for (int j = 0; j < tot; j++) {
int d = i * prime[j];
if (d >= N) break;
vis[d] = true;
if (i % prime[j] == 0) {
mu[d] = 0;
break;
} else
mu[d] = -mu[i];
}
}
}
void sol() {
int n, k;
cin >> n >> k;
ll ans = 1;
for (int i = 1; i <= k; i++) {
ans += mu[i] * (qk(1 + 2 * (k / i), n, P) - 1);
ans = (ans % P + P) % P;
}
cout << ans << '\n';
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
get_mu();
sol();
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 5ms
memory: 9884kb
input:
2 1
output:
9
result:
ok single line: '9'
Test #2:
score: 0
Accepted
time: 5ms
memory: 10020kb
input:
2 2
output:
17
result:
ok single line: '17'
Test #3:
score: 0
Accepted
time: 8ms
memory: 10012kb
input:
10000 10000
output:
689223145
result:
ok single line: '689223145'
Test #4:
score: 0
Accepted
time: 5ms
memory: 9376kb
input:
9999 31
output:
986106162
result:
ok single line: '986106162'
Test #5:
score: 0
Accepted
time: 8ms
memory: 8568kb
input:
57 9817
output:
447253096
result:
ok single line: '447253096'
Test #6:
score: 0
Accepted
time: 8ms
memory: 8484kb
input:
501 499
output:
247755220
result:
ok single line: '247755220'
Test #7:
score: 0
Accepted
time: 16ms
memory: 8624kb
input:
97424 174829
output:
964884269
result:
ok single line: '964884269'
Test #8:
score: 0
Accepted
time: 7ms
memory: 8688kb
input:
11 13
output:
729153057
result:
ok single line: '729153057'
Test #9:
score: 0
Accepted
time: 16ms
memory: 8536kb
input:
200000 200000
output:
803771125
result:
ok single line: '803771125'
Test #10:
score: 0
Accepted
time: 4ms
memory: 8536kb
input:
199999 562
output:
865836540
result:
ok single line: '865836540'
Test #11:
score: 0
Accepted
time: 14ms
memory: 8540kb
input:
3539 189423
output:
530738158
result:
ok single line: '530738158'
Test #12:
score: 0
Accepted
time: 22ms
memory: 8476kb
input:
198324 173852
output:
963717515
result:
ok single line: '963717515'
Test #13:
score: 0
Accepted
time: 3ms
memory: 8688kb
input:
1 1
output:
3
result:
ok single line: '3'
Test #14:
score: 0
Accepted
time: 85ms
memory: 8536kb
input:
1000000 1000000
output:
800590912
result:
ok single line: '800590912'
Test #15:
score: 0
Accepted
time: 60ms
memory: 8480kb
input:
5034 999999
output:
946555033
result:
ok single line: '946555033'
Test #16:
score: 0
Accepted
time: 9ms
memory: 8552kb
input:
999998 2042
output:
713878368
result:
ok single line: '713878368'