QOJ.ac
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 |
---|---|---|---|---|---|---|---|---|---|
#361779 | #8508. DiviDuelo | ucup-team112# | AC ✓ | 1ms | 3848kb | C++23 | 12.0kb | 2024-03-23 13:14:27 | 2024-03-23 13:14:27 |
Judging History
answer
// #pragma GCC target("avx2")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
// #define INTERACTIVE
namespace templates {
// type
using ll = long long;
using ull = unsigned long long;
using Pii = pair<int, int>;
using Pil = pair<int, ll>;
using Pli = pair<ll, int>;
using Pll = pair<ll, ll>;
template <class T>
using pq = priority_queue<T>;
template <class T>
using qp = priority_queue<T, vector<T>, greater<T>>;
// clang-format off
#define vec(T, A, ...) vector<T> A(__VA_ARGS__);
#define vvec(T, A, h, ...) vector<vector<T>> A(h, vector<T>(__VA_ARGS__));
#define vvvec(T, A, h1, h2, ...) vector<vector<vector<T>>> A(h1, vector<vector<T>>(h2, vector<T>(__VA_ARGS__)));
// clang-format on
// for loop
#define fori1(a) for (ll _ = 0; _ < (a); _++)
#define fori2(i, a) for (ll i = 0; i < (a); i++)
#define fori3(i, a, b) for (ll i = (a); i < (b); i++)
#define fori4(i, a, b, c) for (ll i = (a); ((c) > 0 || i > (b)) && ((c) < 0 || i < (b)); i += (c))
#define overload4(a, b, c, d, e, ...) e
#define fori(...) overload4(__VA_ARGS__, fori4, fori3, fori2, fori1)(__VA_ARGS__)
// declare and input
// clang-format off
#define INT(...) int __VA_ARGS__; inp(__VA_ARGS__);
#define LL(...) ll __VA_ARGS__; inp(__VA_ARGS__);
#define STRING(...) string __VA_ARGS__; inp(__VA_ARGS__);
#define CHAR(...) char __VA_ARGS__; inp(__VA_ARGS__);
#define DOUBLE(...) double __VA_ARGS__; STRING(str___); __VA_ARGS__ = stod(str___);
#define VEC(T, A, n) vector<T> A(n); inp(A);
#define VVEC(T, A, n, m) vector<vector<T>> A(n, vector<T>(m)); inp(A);
// clang-format on
// const value
const ll MOD1 = 1000000007;
const ll MOD9 = 998244353;
const double PI = acos(-1);
// other macro
#if !defined(RIN__LOCAL) && !defined(INTERACTIVE)
#define endl "\n"
#endif
#define spa ' '
#define len(A) ll(A.size())
#define all(A) begin(A), end(A)
// function
vector<char> stoc(string &S) {
int n = S.size();
vector<char> ret(n);
for (int i = 0; i < n; i++) ret[i] = S[i];
return ret;
}
string ctos(vector<char> &S) {
int n = S.size();
string ret = "";
for (int i = 0; i < n; i++) ret += S[i];
return ret;
}
template <class T>
auto min(const T &a) {
return *min_element(all(a));
}
template <class T>
auto max(const T &a) {
return *max_element(all(a));
}
template <class T, class S>
auto clamp(T &a, const S &l, const S &r) {
return (a > r ? r : a < l ? l : a);
}
template <class T, class S>
inline bool chmax(T &a, const S &b) {
return (a < b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chmin(T &a, const S &b) {
return (a > b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chclamp(T &a, const S &l, const S &r) {
auto b = clamp(a, l, r);
return (a != b ? a = b, 1 : 0);
}
template <typename T>
T sum(vector<T> &A) {
T tot = 0;
for (auto a : A) tot += a;
return tot;
}
template <typename T>
vector<T> compression(vector<T> X) {
sort(all(X));
X.erase(unique(all(X)), X.end());
return X;
}
// input and output
namespace io {
// __int128_t
std::ostream &operator<<(std::ostream &dest, __int128_t value) {
std::ostream::sentry s(dest);
if (s) {
__uint128_t tmp = value < 0 ? -value : value;
char buffer[128];
char *d = std::end(buffer);
do {
--d;
*d = "0123456789"[tmp % 10];
tmp /= 10;
} while (tmp != 0);
if (value < 0) {
--d;
*d = '-';
}
int len = std::end(buffer) - d;
if (dest.rdbuf()->sputn(d, len) != len) {
dest.setstate(std::ios_base::badbit);
}
}
return dest;
}
// vector<T>
template <typename T>
istream &operator>>(istream &is, vector<T> &A) {
for (auto &a : A) is >> a;
return is;
}
template <typename T>
ostream &operator<<(ostream &os, vector<T> &A) {
for (size_t i = 0; i < A.size(); i++) {
os << A[i];
if (i != A.size() - 1) os << ' ';
}
return os;
}
// vector<vector<T>>
template <typename T>
istream &operator>>(istream &is, vector<vector<T>> &A) {
for (auto &a : A) is >> a;
return is;
}
template <typename T>
ostream &operator<<(ostream &os, vector<vector<T>> &A) {
for (size_t i = 0; i < A.size(); i++) {
os << A[i];
if (i != A.size() - 1) os << endl;
}
return os;
}
// pair<S, T>
template <typename S, typename T>
istream &operator>>(istream &is, pair<S, T> &A) {
is >> A.first >> A.second;
return is;
}
template <typename S, typename T>
ostream &operator<<(ostream &os, pair<S, T> &A) {
os << A.first << ' ' << A.second;
return os;
}
// vector<pair<S, T>>
template <typename S, typename T>
istream &operator>>(istream &is, vector<pair<S, T>> &A) {
for (size_t i = 0; i < A.size(); i++) {
is >> A[i];
}
return is;
}
template <typename S, typename T>
ostream &operator<<(ostream &os, vector<pair<S, T>> &A) {
for (size_t i = 0; i < A.size(); i++) {
os << A[i];
if (i != A.size() - 1) os << endl;
}
return os;
}
// tuple
template <typename T, size_t N>
struct TuplePrint {
static ostream &print(ostream &os, const T &t) {
TuplePrint<T, N - 1>::print(os, t);
os << ' ' << get<N - 1>(t);
return os;
}
};
template <typename T>
struct TuplePrint<T, 1> {
static ostream &print(ostream &os, const T &t) {
os << get<0>(t);
return os;
}
};
template <typename... Args>
ostream &operator<<(ostream &os, const tuple<Args...> &t) {
TuplePrint<decltype(t), sizeof...(Args)>::print(os, t);
return os;
}
// io functions
void FLUSH() {
cout << flush;
}
void print() {
cout << endl;
}
template <class Head, class... Tail>
void print(Head &&head, Tail &&...tail) {
cout << head;
if (sizeof...(Tail)) cout << spa;
print(std::forward<Tail>(tail)...);
}
template <typename T, typename S>
void prisep(vector<T> &A, S sep) {
int n = A.size();
for (int i = 0; i < n; i++) {
cout << A[i];
if (i != n - 1) cout << sep;
}
cout << endl;
}
template <typename T, typename S>
void priend(T A, S end) {
cout << A << end;
}
template <typename T>
void prispa(T A) {
priend(A, spa);
}
template <typename T, typename S>
bool printif(bool f, T A, S B) {
if (f)
print(A);
else
print(B);
return f;
}
template <class... T>
void inp(T &...a) {
(cin >> ... >> a);
}
} // namespace io
using namespace io;
// read graph
vector<vector<int>> read_edges(int n, int m, bool direct = false, int indexed = 1) {
vector<vector<int>> edges(n, vector<int>());
for (int i = 0; i < m; i++) {
INT(u, v);
u -= indexed;
v -= indexed;
edges[u].push_back(v);
if (!direct) edges[v].push_back(u);
}
return edges;
}
vector<vector<int>> read_tree(int n, int indexed = 1) {
return read_edges(n, n - 1, false, indexed);
}
template <typename T = long long>
vector<vector<pair<int, T>>> read_wedges(int n, int m, bool direct = false, int indexed = 1) {
vector<vector<pair<int, T>>> edges(n, vector<pair<int, T>>());
for (int i = 0; i < m; i++) {
INT(u, v);
T w;
inp(w);
u -= indexed;
v -= indexed;
edges[u].push_back({v, w});
if (!direct) edges[v].push_back({u, w});
}
return edges;
}
template <typename T = long long>
vector<vector<pair<int, T>>> read_wtree(int n, int indexed = 1) {
return read_wedges<T>(n, n - 1, false, indexed);
}
// yes / no
namespace yesno {
// yes
inline bool yes(bool f = true) {
cout << (f ? "yes" : "no") << endl;
return f;
}
inline bool Yes(bool f = true) {
cout << (f ? "Yes" : "No") << endl;
return f;
}
inline bool YES(bool f = true) {
cout << (f ? "YES" : "NO") << endl;
return f;
}
// no
inline bool no(bool f = true) {
cout << (!f ? "yes" : "no") << endl;
return f;
}
inline bool No(bool f = true) {
cout << (!f ? "Yes" : "No") << endl;
return f;
}
inline bool NO(bool f = true) {
cout << (!f ? "YES" : "NO") << endl;
return f;
}
// possible
inline bool possible(bool f = true) {
cout << (f ? "possible" : "impossible") << endl;
return f;
}
inline bool Possible(bool f = true) {
cout << (f ? "Possible" : "Impossible") << endl;
return f;
}
inline bool POSSIBLE(bool f = true) {
cout << (f ? "POSSIBLE" : "IMPOSSIBLE") << endl;
return f;
}
// impossible
inline bool impossible(bool f = true) {
cout << (!f ? "possible" : "impossible") << endl;
return f;
}
inline bool Impossible(bool f = true) {
cout << (!f ? "Possible" : "Impossible") << endl;
return f;
}
inline bool IMPOSSIBLE(bool f = true) {
cout << (!f ? "POSSIBLE" : "IMPOSSIBLE") << endl;
return f;
}
// Alice Bob
inline bool Alice(bool f = true) {
cout << (f ? "Alice" : "Bob") << endl;
return f;
}
inline bool Bob(bool f = true) {
cout << (f ? "Bob" : "Alice") << endl;
return f;
}
// Takahashi Aoki
inline bool Takahashi(bool f = true) {
cout << (f ? "Takahashi" : "Aoki") << endl;
return f;
}
inline bool Aoki(bool f = true) {
cout << (f ? "Aoki" : "Takahashi") << endl;
return f;
}
} // namespace yesno
using namespace yesno;
} // namespace templates
using namespace templates;
template <typename T, typename S>
T modpow(T a, S b, T MOD) {
T ret = 1;
while (b > 0) {
if (b & 1) {
ret *= a;
ret %= MOD;
}
a *= a;
a %= MOD;
b >>= 1;
}
return ret;
}
bool isPrime(long long n) {
if (n <= 1)
return false;
else if (n == 2)
return true;
else if (n % 2 == 0)
return false;
long long A[7] = {2, 325, 9375, 28178, 450775, 9780504, 1795265022};
long long s = 0;
long long d = n - 1;
while (d % 2 == 0) {
d /= 2;
s++;
}
for (auto a : A) {
if (a % n == 0) return true;
long long x = modpow<__int128_t>(a, d, n);
if (x != 1) {
bool ng = true;
for (int i = 0; i < s; i++) {
if (x == n - 1) {
ng = false;
break;
};
x = __int128_t(x) * x % n;
}
if (ng) return false;
}
}
return true;
}
long long pollard(long long N) {
if (N % 2 == 0) return 2;
if (isPrime(N)) return N;
long long step = 0;
auto f = [&](long long x) -> long long { return (__int128_t(x) * x + step) % N; };
while (true) {
++step;
long long x = step, y = f(x);
while (true) {
long long p = std::gcd(y - x + N, N);
if (p == 0 || p == N) break;
if (p != 1) return p;
x = f(x);
y = f(f(y));
}
}
}
std::vector<long long> primefact(long long N) {
if (N == 1) return {};
long long p = pollard(N);
if (p == N) return {p};
std::vector<long long> left = primefact(p);
std::vector<long long> right = primefact(N / p);
left.insert(left.end(), right.begin(), right.end());
std::sort(left.begin(), left.end());
return left;
}
void solve() {
LL(n);
ll sq = sqrtl(n);
while (sq * sq < n) sq++;
while (sq * sq > n) sq--;
if (sq * sq == n) {
print("N");
return;
}
auto P = primefact(n);
int c = len(compression(P));
if (c == 1) {
print("Y");
} else if (c == 2 and len(P) == 2) {
print("Y");
} else {
print("N");
}
}
int main() {
#ifndef INTERACTIVE
cin.tie(0)->sync_with_stdio(0);
#endif
// cout << fixed << setprecision(12);
int t;
t = 1;
// cin >> t;
while (t--) solve();
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 1ms
memory: 3592kb
input:
10
output:
Y
result:
ok "Y"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
9
output:
N
result:
ok "N"
Test #3:
score: 0
Accepted
time: 1ms
memory: 3576kb
input:
1
output:
N
result:
ok "N"
Test #4:
score: 0
Accepted
time: 1ms
memory: 3568kb
input:
549755813888
output:
Y
result:
ok "Y"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
274877906944
output:
N
result:
ok "N"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3544kb
input:
847288609443
output:
Y
result:
ok "Y"
Test #7:
score: 0
Accepted
time: 1ms
memory: 3532kb
input:
282429536481
output:
N
result:
ok "N"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3596kb
input:
137858491849
output:
N
result:
ok "N"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3640kb
input:
10604499373
output:
Y
result:
ok "Y"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3540kb
input:
506623120463
output:
Y
result:
ok "Y"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
10779215329
output:
N
result:
ok "N"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3540kb
input:
41910794561
output:
Y
result:
ok "Y"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3604kb
input:
64574155417
output:
Y
result:
ok "Y"
Test #14:
score: 0
Accepted
time: 0ms
memory: 3496kb
input:
75644818241
output:
Y
result:
ok "Y"
Test #15:
score: 0
Accepted
time: 0ms
memory: 3552kb
input:
124029899611
output:
Y
result:
ok "Y"
Test #16:
score: 0
Accepted
time: 0ms
memory: 3552kb
input:
134306640043
output:
Y
result:
ok "Y"
Test #17:
score: 0
Accepted
time: 0ms
memory: 3500kb
input:
146462570411
output:
Y
result:
ok "Y"
Test #18:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
222287988673
output:
Y
result:
ok "Y"
Test #19:
score: 0
Accepted
time: 0ms
memory: 3500kb
input:
263345887171
output:
Y
result:
ok "Y"
Test #20:
score: 0
Accepted
time: 1ms
memory: 3592kb
input:
717451682557
output:
Y
result:
ok "Y"
Test #21:
score: 0
Accepted
time: 0ms
memory: 3500kb
input:
825365364157
output:
Y
result:
ok "Y"
Test #22:
score: 0
Accepted
time: 0ms
memory: 3640kb
input:
870298842859
output:
Y
result:
ok "Y"
Test #23:
score: 0
Accepted
time: 0ms
memory: 3548kb
input:
887915259331
output:
Y
result:
ok "Y"
Test #24:
score: 0
Accepted
time: 1ms
memory: 3608kb
input:
967108197509
output:
Y
result:
ok "Y"
Test #25:
score: 0
Accepted
time: 1ms
memory: 3596kb
input:
990661375799
output:
Y
result:
ok "Y"
Test #26:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
999999999989
output:
Y
result:
ok "Y"
Test #27:
score: 0
Accepted
time: 0ms
memory: 3504kb
input:
999962000357
output:
Y
result:
ok "Y"
Test #28:
score: 0
Accepted
time: 1ms
memory: 3596kb
input:
999474022513
output:
Y
result:
ok "Y"
Test #29:
score: 0
Accepted
time: 1ms
memory: 3600kb
input:
999052035451
output:
Y
result:
ok "Y"
Test #30:
score: 0
Accepted
time: 1ms
memory: 3596kb
input:
999470040641
output:
Y
result:
ok "Y"
Test #31:
score: 0
Accepted
time: 0ms
memory: 3644kb
input:
998712349711
output:
Y
result:
ok "Y"
Test #32:
score: 0
Accepted
time: 0ms
memory: 3608kb
input:
998768376647
output:
Y
result:
ok "Y"
Test #33:
score: 0
Accepted
time: 1ms
memory: 3536kb
input:
998884311283
output:
Y
result:
ok "Y"
Test #34:
score: 0
Accepted
time: 1ms
memory: 3556kb
input:
998794254709
output:
Y
result:
ok "Y"
Test #35:
score: 0
Accepted
time: 1ms
memory: 3560kb
input:
998830303021
output:
Y
result:
ok "Y"
Test #36:
score: 0
Accepted
time: 1ms
memory: 3552kb
input:
999638023157
output:
Y
result:
ok "Y"
Test #37:
score: 0
Accepted
time: 0ms
memory: 3576kb
input:
998978227997
output:
Y
result:
ok "Y"
Test #38:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
999108034891
output:
Y
result:
ok "Y"
Test #39:
score: 0
Accepted
time: 1ms
memory: 3496kb
input:
998922289621
output:
Y
result:
ok "Y"
Test #40:
score: 0
Accepted
time: 0ms
memory: 3604kb
input:
999172169371
output:
Y
result:
ok "Y"
Test #41:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
999218015981
output:
Y
result:
ok "Y"
Test #42:
score: 0
Accepted
time: 0ms
memory: 3844kb
input:
981700934653
output:
N
result:
ok "N"
Test #43:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
942804229201
output:
N
result:
ok "N"
Test #44:
score: 0
Accepted
time: 0ms
memory: 3796kb
input:
822635014967
output:
N
result:
ok "N"
Test #45:
score: 0
Accepted
time: 0ms
memory: 3552kb
input:
954312321917
output:
N
result:
ok "N"
Test #46:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
965687001953
output:
N
result:
ok "N"
Test #47:
score: 0
Accepted
time: 0ms
memory: 3536kb
input:
907803030577
output:
N
result:
ok "N"
Test #48:
score: 0
Accepted
time: 0ms
memory: 3792kb
input:
993916557163
output:
N
result:
ok "N"
Test #49:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
844029771131
output:
N
result:
ok "N"
Test #50:
score: 0
Accepted
time: 0ms
memory: 3600kb
input:
862969367597
output:
N
result:
ok "N"
Test #51:
score: 0
Accepted
time: 1ms
memory: 3600kb
input:
768706748179
output:
N
result:
ok "N"
Test #52:
score: 0
Accepted
time: 0ms
memory: 3776kb
input:
744412255649
output:
N
result:
ok "N"
Test #53:
score: 0
Accepted
time: 0ms
memory: 3600kb
input:
877760921347
output:
N
result:
ok "N"
Test #54:
score: 0
Accepted
time: 0ms
memory: 3552kb
input:
779321766481
output:
N
result:
ok "N"
Test #55:
score: 0
Accepted
time: 0ms
memory: 3796kb
input:
786676948027
output:
N
result:
ok "N"
Test #56:
score: 0
Accepted
time: 0ms
memory: 3792kb
input:
775686765629
output:
N
result:
ok "N"
Test #57:
score: 0
Accepted
time: 0ms
memory: 3788kb
input:
971230541
output:
N
result:
ok "N"
Test #58:
score: 0
Accepted
time: 1ms
memory: 3552kb
input:
2385673
output:
N
result:
ok "N"
Test #59:
score: 0
Accepted
time: 0ms
memory: 3548kb
input:
52468711
output:
N
result:
ok "N"
Test #60:
score: 0
Accepted
time: 0ms
memory: 3604kb
input:
20358337
output:
N
result:
ok "N"
Test #61:
score: 0
Accepted
time: 0ms
memory: 3548kb
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Extra Test Passed