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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 |
---|---|---|---|---|---|---|---|---|---|
#550516 | #9248. An Easy Math Problem | ucup-team133# | AC ✓ | 40ms | 3856kb | C++23 | 4.4kb | 2024-09-07 13:17:25 | 2024-09-07 13:17:26 |
Judging History
This is a historical verdict posted at 2024-09-07 13:17:26.
- [2024-10-31 22:36:43]
- hack成功,自动添加数据
- (/hack/1098)
- [2024-10-31 22:13:58]
- hack成功,自动添加数据
- (/hack/1096)
- [2024-10-31 22:00:43]
- hack成功,自动添加数据
- (/hack/1095)
- [2024-09-07 13:17:25]
- Submitted
answer
#include <bits/stdc++.h>
#ifdef LOCAL
#include <debug.hpp>
#else
#define debug(...) void(0)
#endif
template <class T> std::istream& operator>>(std::istream& is, std::vector<T>& v) {
for (auto& e : v) {
is >> e;
}
return is;
}
template <class T> std::ostream& operator<<(std::ostream& os, const std::vector<T>& v) {
for (std::string_view sep = ""; const auto& e : v) {
os << std::exchange(sep, " ") << e;
}
return os;
}
template <class T, class U = T> bool chmin(T& x, U&& y) {
return y < x and (x = std::forward<U>(y), true);
}
template <class T, class U = T> bool chmax(T& x, U&& y) {
return x < y and (x = std::forward<U>(y), true);
}
template <class T> void mkuni(std::vector<T>& v) {
std::ranges::sort(v);
auto result = std::ranges::unique(v);
v.erase(result.begin(), result.end());
}
template <class T> int lwb(const std::vector<T>& v, const T& x) {
return std::distance(v.begin(), std::ranges::lower_bound(v, x));
}
namespace elementary_math {
template <typename T> std::vector<T> divisor(T n) {
std::vector<T> res;
for (T i = 1; i * i <= n; i++) {
if (n % i == 0) {
res.emplace_back(i);
if (i * i != n) res.emplace_back(n / i);
}
}
return res;
}
template <typename T> std::vector<std::pair<T, int>> prime_factor(T n) {
std::vector<std::pair<T, int>> res;
for (T p = 2; p * p <= n; p++) {
if (n % p == 0) {
res.emplace_back(p, 0);
while (n % p == 0) {
res.back().second++;
n /= p;
}
}
}
if (n > 1) res.emplace_back(n, 1);
return res;
}
std::vector<int> osa_k(int n) {
std::vector<int> min_factor(n + 1, 0);
for (int i = 2; i <= n; i++) {
if (min_factor[i]) continue;
for (int j = i; j <= n; j += i) {
if (!min_factor[j]) {
min_factor[j] = i;
}
}
}
return min_factor;
}
std::vector<int> prime_factor(const std::vector<int>& min_factor, int n) {
std::vector<int> res;
while (n > 1) {
res.emplace_back(min_factor[n]);
n /= min_factor[n];
}
return res;
}
long long modpow(long long x, long long n, long long mod) {
assert(0 <= n && 1 <= mod && mod < (1LL << 31));
if (mod == 1) return 0;
x %= mod;
long long res = 1;
while (n > 0) {
if (n & 1) res = res * x % mod;
x = x * x % mod;
n >>= 1;
}
return res;
}
long long extgcd(long long a, long long b, long long& x, long long& y) {
long long d = a;
if (b != 0) {
d = extgcd(b, a % b, y, x);
y -= (a / b) * x;
} else
x = 1, y = 0;
return d;
}
long long inv_mod(long long a, long long mod) {
assert(1 <= mod);
long long x, y;
if (extgcd(a, mod, x, y) != 1) return -1;
return (mod + x % mod) % mod;
}
template <typename T> T euler_phi(T n) {
auto pf = prime_factor(n);
T res = n;
for (const auto& p : pf) {
res /= p.first;
res *= p.first - 1;
}
return res;
}
std::vector<int> euler_phi_table(int n) {
std::vector<int> res(n + 1, 0);
std::iota(res.begin(), res.end(), 0);
for (int i = 2; i <= n; i++) {
if (res[i] != i) continue;
for (int j = i; j <= n; j += i) res[j] = res[j] / i * (i - 1);
}
return res;
}
// minimum i > 0 s.t. x^i \equiv 1 \pmod{m}
template <typename T> T order(T x, T m) {
T n = euler_phi(m);
auto cand = divisor(n);
std::sort(cand.begin(), cand.end());
for (auto& i : cand) {
if (modpow(x, i, m) == 1) {
return i;
}
}
return -1;
}
template <typename T> std::vector<std::tuple<T, T, T>> quotient_ranges(T n) {
std::vector<std::tuple<T, T, T>> res;
T m = 1;
for (; m * m <= n; m++) res.emplace_back(m, m, n / m);
for (; m >= 1; m--) {
T l = n / (m + 1) + 1, r = n / m;
if (l <= r and std::get<1>(res.back()) < l) res.emplace_back(l, r, n / l);
}
return res;
}
} // namespace elementary_math
using ll = long long;
using namespace std;
void solve() {
ll n;
cin >> n;
auto ps = elementary_math::prime_factor(n);
ll ans = 1;
for (auto [x, y] : ps) ans *= 2 * y + 1;
ans = (ans + 1) / 2;
cout << ans << "\n";
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cout << fixed << setprecision(15);
int q;
cin >> q;
for (; q--;) solve();
return 0;
}
这程序好像有点Bug,我给组数据试试?
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 3856kb
input:
10 1 2 3 4 5 6 7 8 9 10
output:
1 2 2 3 2 5 2 4 3 5
result:
ok 10 lines
Test #2:
score: 0
Accepted
time: 1ms
memory: 3600kb
input:
2000 6469693230 6469693230 6469693230 6469693230 6469693230 6469693230 6469693230 6469693230 6469693230 6469693230 6469693230 6469693230 6469693230 6469693230 6469693230 6469693230 6469693230 6469693230 6469693230 6469693230 6469693230 6469693230 6469693230 6469693230 6469693230 6469693230 646969323...
output:
29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 29525 ...
result:
ok 2000 lines
Test #3:
score: 0
Accepted
time: 40ms
memory: 3572kb
input:
2000 1763047095 79735483 1016286871 2864801397 2327774116 2668010360 3469893354 3634459021 1613699068 781737219 574741575 2763134701 1458502604 1822260248 2281150332 2924219311 2493931196 3735904708 158802001 2006921221 729928782 1974841034 727412600 2873393292 1291087179 2741607663 1893408215 29827...
output:
14 5 2 5 23 95 68 14 8 68 203 14 23 32 38 41 8 8 14 2 608 41 158 338 23 41 14 5 14 41 14 203 41 14 17 446 5 53 59 878 2 14 365 203 14 203 2 122 32 95 41 41 5 23 14 41 5 5 14 122 23 203 608 23 41 122 2 14 95 2 68 41 203 14 230 41 68 23 50 14 32 14 8 5 5 5 68 68 122 293 473 5 41 41 14 2 14 14 5 2 122 ...
result:
ok 2000 lines
Extra Test:
score: 0
Extra Test Passed