QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#361910 | #8508. DiviDuelo | ucup-team133# | AC ✓ | 3ms | 3884kb | C++23 | 4.5kb | 2024-03-23 13:36:02 | 2024-03-23 13:36:03 |
Judging History
answer
#include <bits/stdc++.h>
#ifdef LOCAL
#include <debug.hpp>
#else
#define debug(...) void(0)
#endif
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);
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);
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 namespace std;
typedef long long ll;
#define all(x) begin(x), end(x)
constexpr int INF = (1 << 30) - 1;
constexpr long long IINF = (1LL << 60) - 1;
constexpr int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};
template <class T> istream& operator>>(istream& is, vector<T>& v) {
for (auto& x : v) is >> x;
return is;
}
template <class T> ostream& operator<<(ostream& os, const vector<T>& v) {
auto sep = "";
for (const auto& x : v) os << exchange(sep, " ") << x;
return os;
}
template <class T, class U = T> bool chmin(T& x, U&& y) { return y < x and (x = forward<U>(y), true); }
template <class T, class U = T> bool chmax(T& x, U&& y) { return x < y and (x = forward<U>(y), true); }
template <class T> void mkuni(vector<T>& v) {
sort(begin(v), end(v));
v.erase(unique(begin(v), end(v)), end(v));
}
template <class T> int lwb(const vector<T>& v, const T& x) { return lower_bound(begin(v), end(v), x) - begin(v); }
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
ll N;
cin >> N;
auto ps = elementary_math::prime_factor(N);
int n = ps.size();
if (n > 2 or n == 0) {
cout << "N\n";
return 0;
}
if (n == 1) {
cout << (ps[0].second & 1 ? "Y" : "N") << "\n";
} else {
cout << (ps[0].second == 1 and ps[1].second == 1 ? "Y" : "N") << "\n";
}
return 0;
}
Details
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Test #1:
score: 100
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memory: 3844kb
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Y
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ok "Y"
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ok "N"
Test #112:
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Accepted
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N
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ok "N"
Test #113:
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Accepted
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Y
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Test #114:
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Accepted
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Y
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ok "Y"
Test #115:
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Accepted
time: 0ms
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Y
result:
ok "Y"
Test #116:
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Accepted
time: 0ms
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Y
result:
ok "Y"
Test #117:
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Accepted
time: 0ms
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input:
101847563
output:
Y
result:
ok "Y"
Test #118:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
32187778741
output:
Y
result:
ok "Y"
Test #119:
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Accepted
time: 0ms
memory: 3580kb
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Y
result:
ok "Y"
Test #120:
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Accepted
time: 0ms
memory: 3580kb
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Y
result:
ok "Y"
Test #121:
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Accepted
time: 0ms
memory: 3680kb
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Y
result:
ok "Y"
Test #122:
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Accepted
time: 0ms
memory: 3652kb
input:
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output:
Y
result:
ok "Y"
Test #123:
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Accepted
time: 0ms
memory: 3584kb
input:
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output:
Y
result:
ok "Y"
Test #124:
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Accepted
time: 0ms
memory: 3844kb
input:
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output:
Y
result:
ok "Y"
Test #125:
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Accepted
time: 0ms
memory: 3872kb
input:
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output:
Y
result:
ok "Y"
Test #126:
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Accepted
time: 0ms
memory: 3580kb
input:
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output:
Y
result:
ok "Y"
Test #127:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
49714249733
output:
Y
result:
ok "Y"
Test #128:
score: 0
Accepted
time: 0ms
memory: 3812kb
input:
60781478521
output:
N
result:
ok "N"
Test #129:
score: 0
Accepted
time: 0ms
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output:
N
result:
ok "N"
Test #130:
score: 0
Accepted
time: 0ms
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output:
N
result:
ok "N"
Test #131:
score: 0
Accepted
time: 1ms
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output:
N
result:
ok "N"
Test #132:
score: 0
Accepted
time: 2ms
memory: 3880kb
input:
364295537761
output:
N
result:
ok "N"
Test #133:
score: 0
Accepted
time: 1ms
memory: 3584kb
input:
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output:
N
result:
ok "N"
Test #134:
score: 0
Accepted
time: 3ms
memory: 3840kb
input:
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output:
N
result:
ok "N"
Test #135:
score: 0
Accepted
time: 2ms
memory: 3580kb
input:
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output:
N
result:
ok "N"
Test #136:
score: 0
Accepted
time: 1ms
memory: 3616kb
input:
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output:
N
result:
ok "N"
Test #137:
score: 0
Accepted
time: 2ms
memory: 3880kb
input:
405579196201
output:
N
result:
ok "N"
Test #138:
score: 0
Accepted
time: 1ms
memory: 3580kb
input:
7659225289
output:
N
result:
ok "N"
Test #139:
score: 0
Accepted
time: 3ms
memory: 3580kb
input:
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output:
N
result:
ok "N"
Test #140:
score: 0
Accepted
time: 3ms
memory: 3528kb
input:
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output:
N
result:
ok "N"
Test #141:
score: 0
Accepted
time: 2ms
memory: 3580kb
input:
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output:
N
result:
ok "N"
Test #142:
score: 0
Accepted
time: 1ms
memory: 3680kb
input:
48390760441
output:
N
result:
ok "N"
Extra Test:
score: 0
Extra Test Passed