結果
| 問題 |
No.2221 Set X
|
| コンテスト | |
| ユーザー |
 NyaanNyaan
|
| 提出日時 | 2023-02-17 22:46:42 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 24,335 bytes |
| コンパイル時間 | 2,523 ms |
| コンパイル使用メモリ | 268,028 KB |
| 最終ジャッジ日時 | 2025-02-10 17:45:18 |
|
ジャッジサーバーID （参考情報） |
judge5 / judge2 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 31 WA * 9 |
コンパイルメッセージ
main.cpp:422:7: warning: ‘template<class _Category, class _Tp, class _Distance, class _Pointer, class _Reference> struct std::iterator’ is deprecated [-Wdeprecated-declarations]
422 | : iterator<bidirectional_iterator_tag, Data, ptrdiff_t, Data*, Data&> {
| ^~~~~~~~
In file included from /usr/include/c++/13/bits/stl_algobase.h:65,
from /usr/include/c++/13/algorithm:60,
from main.cpp:11:
/usr/include/c++/13/bits/stl_iterator_base_types.h:127:34: note: declared here
127 | struct _GLIBCXX17_DEPRECATED iterator
| ^~~~~~~~
main.cpp:424:7: warning: ‘template<class _Category, class _Tp, class _Distance, class _Pointer, class _Reference> struct std::iterator’ is deprecated [-Wdeprecated-declarations]
424 | iterator<bidirectional_iterator_tag, Data, ptrdiff_t, Data*, Data&>;
| ^~~~~~~~
/usr/include/c++/13/bits/stl_iterator_base_types.h:127:34: note: declared here
127 | struct _GLIBCXX17_DEPRECATED iterator
| ^~~~~~~~
ソースコード
/**
* date : 2023-02-17 22:46:36
*/
#define NDEBUG
using namespace std;
// intrinstic
#include <immintrin.h>
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cctype>
#include <cfenv>
#include <cfloat>
#include <chrono>
#include <cinttypes>
#include <climits>
#include <cmath>
#include <complex>
#include <cstdarg>
#include <cstddef>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <deque>
#include <fstream>
#include <functional>
#include <initializer_list>
#include <iomanip>
#include <ios>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <streambuf>
#include <string>
#include <tuple>
#include <type_traits>
#include <typeinfo>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
// utility
namespace Nyaan {
using ll = long long;
using i64 = long long;
using u64 = unsigned long long;
using i128 = __int128_t;
using u128 = __uint128_t;
template <typename T>
using V = vector<T>;
template <typename T>
using VV = vector<vector<T>>;
using vi = vector<int>;
using vl = vector<long long>;
using vd = V<double>;
using vs = V<string>;
using vvi = vector<vector<int>>;
using vvl = vector<vector<long long>>;
template <typename T, typename U>
struct P : pair<T, U> {
template <typename... Args>
P(Args... args) : pair<T, U>(args...) {}
using pair<T, U>::first;
using pair<T, U>::second;
P &operator+=(const P &r) {
first += r.first;
second += r.second;
return *this;
}
P &operator-=(const P &r) {
first -= r.first;
second -= r.second;
return *this;
}
P &operator*=(const P &r) {
first *= r.first;
second *= r.second;
return *this;
}
template <typename S>
P &operator*=(const S &r) {
first *= r, second *= r;
return *this;
}
P operator+(const P &r) const { return P(*this) += r; }
P operator-(const P &r) const { return P(*this) -= r; }
P operator*(const P &r) const { return P(*this) *= r; }
template <typename S>
P operator*(const S &r) const {
return P(*this) *= r;
}
P operator-() const { return P{-first, -second}; }
};
using pl = P<ll, ll>;
using pi = P<int, int>;
using vp = V<pl>;
constexpr int inf = 1001001001;
constexpr long long infLL = 4004004004004004004LL;
template <typename T>
int sz(const T &t) {
return t.size();
}
template <typename T, typename U>
inline bool amin(T &x, U y) {
return (y < x) ? (x = y, true) : false;
}
template <typename T, typename U>
inline bool amax(T &x, U y) {
return (x < y) ? (x = y, true) : false;
}
template <typename T>
inline T Max(const vector<T> &v) {
return *max_element(begin(v), end(v));
}
template <typename T>
inline T Min(const vector<T> &v) {
return *min_element(begin(v), end(v));
}
template <typename T>
inline long long Sum(const vector<T> &v) {
return accumulate(begin(v), end(v), 0LL);
}
template <typename T>
int lb(const vector<T> &v, const T &a) {
return lower_bound(begin(v), end(v), a) - begin(v);
}
template <typename T>
int ub(const vector<T> &v, const T &a) {
return upper_bound(begin(v), end(v), a) - begin(v);
}
constexpr long long TEN(int n) {
long long ret = 1, x = 10;
for (; n; x *= x, n >>= 1) ret *= (n & 1 ? x : 1);
return ret;
}
template <typename T, typename U>
pair<T, U> mkp(const T &t, const U &u) {
return make_pair(t, u);
}
template <typename T>
vector<T> mkrui(const vector<T> &v, bool rev = false) {
vector<T> ret(v.size() + 1);
if (rev) {
for (int i = int(v.size()) - 1; i >= 0; i--) ret[i] = v[i] + ret[i + 1];
} else {
for (int i = 0; i < int(v.size()); i++) ret[i + 1] = ret[i] + v[i];
}
return ret;
};
template <typename T>
vector<T> mkuni(const vector<T> &v) {
vector<T> ret(v);
sort(ret.begin(), ret.end());
ret.erase(unique(ret.begin(), ret.end()), ret.end());
return ret;
}
template <typename F>
vector<int> mkord(int N,F f) {
vector<int> ord(N);
iota(begin(ord), end(ord), 0);
sort(begin(ord), end(ord), f);
return ord;
}
template <typename T>
vector<int> mkinv(vector<T> &v) {
int max_val = *max_element(begin(v), end(v));
vector<int> inv(max_val + 1, -1);
for (int i = 0; i < (int)v.size(); i++) inv[v[i]] = i;
return inv;
}
vector<int> mkiota(int n) {
vector<int> ret(n);
iota(begin(ret), end(ret), 0);
return ret;
}
template <typename T>
T mkrev(const T &v) {
T w{v};
reverse(begin(w), end(w));
return w;
}
template <typename T>
bool nxp(vector<T> &v) {
return next_permutation(begin(v), end(v));
}
template <typename T>
using minpq = priority_queue<T, vector<T>, greater<T>>;
} // namespace Nyaan
// bit operation
namespace Nyaan {
__attribute__((target("popcnt"))) inline int popcnt(const u64 &a) {
return _mm_popcnt_u64(a);
}
inline int lsb(const u64 &a) { return a ? __builtin_ctzll(a) : 64; }
inline int ctz(const u64 &a) { return a ? __builtin_ctzll(a) : 64; }
inline int msb(const u64 &a) { return a ? 63 - __builtin_clzll(a) : -1; }
template <typename T>
inline int gbit(const T &a, int i) {
return (a >> i) & 1;
}
template <typename T>
inline void sbit(T &a, int i, bool b) {
if (gbit(a, i) != b) a ^= T(1) << i;
}
constexpr long long PW(int n) { return 1LL << n; }
constexpr long long MSK(int n) { return (1LL << n) - 1; }
} // namespace Nyaan
// inout
namespace Nyaan {
template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &p) {
os << p.first << " " << p.second;
return os;
}
template <typename T, typename U>
istream &operator>>(istream &is, pair<T, U> &p) {
is >> p.first >> p.second;
return is;
}
template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v) {
int s = (int)v.size();
for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i];
return os;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &v) {
for (auto &x : v) is >> x;
return is;
}
istream &operator>>(istream &is, __int128_t &x) {
string S;
is >> S;
x = 0;
int flag = 0;
for (auto &c : S) {
if (c == '-') {
flag = true;
continue;
}
x *= 10;
x += c - '0';
}
if (flag) x = -x;
return is;
}
istream &operator>>(istream &is, __uint128_t &x) {
string S;
is >> S;
x = 0;
for (auto &c : S) {
x *= 10;
x += c - '0';
}
return is;
}
ostream &operator<<(ostream &os, __int128_t x) {
if (x == 0) return os << 0;
if (x < 0) os << '-', x = -x;
string S;
while (x) S.push_back('0' + x % 10), x /= 10;
reverse(begin(S), end(S));
return os << S;
}
ostream &operator<<(ostream &os, __uint128_t x) {
if (x == 0) return os << 0;
string S;
while (x) S.push_back('0' + x % 10), x /= 10;
reverse(begin(S), end(S));
return os << S;
}
void in() {}
template <typename T, class... U>
void in(T &t, U &...u) {
cin >> t;
in(u...);
}
void out() { cout << "\n"; }
template <typename T, class... U, char sep = ' '>
void out(const T &t, const U &...u) {
cout << t;
if (sizeof...(u)) cout << sep;
out(u...);
}
void outr() {}
template <typename T, class... U, char sep = ' '>
void outr(const T &t, const U &...u) {
cout << t;
outr(u...);
}
struct IoSetupNya {
IoSetupNya() {
cin.tie(nullptr);
ios::sync_with_stdio(false);
cout << fixed << setprecision(15);
cerr << fixed << setprecision(7);
}
} iosetupnya;
} // namespace Nyaan
// debug
#ifdef NyaanDebug
#define trc(...) (void(0))
#else
#define trc(...) (void(0))
#endif
#ifdef NyaanLocal
#define trc2(...) (void(0))
#else
#define trc2(...) (void(0))
#endif
// macro
#define each(x, v) for (auto&& x : v)
#define each2(x, y, v) for (auto&& [x, y] : v)
#define all(v) (v).begin(), (v).end()
#define rep(i, N) for (long long i = 0; i < (long long)(N); i++)
#define repr(i, N) for (long long i = (long long)(N)-1; i >= 0; i--)
#define rep1(i, N) for (long long i = 1; i <= (long long)(N); i++)
#define repr1(i, N) for (long long i = (N); (long long)(i) > 0; i--)
#define reg(i, a, b) for (long long i = (a); i < (b); i++)
#define regr(i, a, b) for (long long i = (b)-1; i >= (a); i--)
#define fi first
#define se second
#define ini(...) \
int __VA_ARGS__; \
in(__VA_ARGS__)
#define inl(...) \
long long __VA_ARGS__; \
in(__VA_ARGS__)
#define ins(...) \
string __VA_ARGS__; \
in(__VA_ARGS__)
#define in2(s, t) \
for (int i = 0; i < (int)s.size(); i++) { \
in(s[i], t[i]); \
}
#define in3(s, t, u) \
for (int i = 0; i < (int)s.size(); i++) { \
in(s[i], t[i], u[i]); \
}
#define in4(s, t, u, v) \
for (int i = 0; i < (int)s.size(); i++) { \
in(s[i], t[i], u[i], v[i]); \
}
#define die(...) \
do { \
Nyaan::out(__VA_ARGS__); \
return; \
} while (0)
namespace Nyaan {
void solve();
}
int main() { Nyaan::solve(); }
//
namespace HashMapImpl {
using u32 = uint32_t;
using u64 = uint64_t;
template <typename Key, typename Data>
struct HashMapBase;
template <typename Key, typename Data>
struct itrB
: iterator<bidirectional_iterator_tag, Data, ptrdiff_t, Data*, Data&> {
using base =
iterator<bidirectional_iterator_tag, Data, ptrdiff_t, Data*, Data&>;
using ptr = typename base::pointer;
using ref = typename base::reference;
u32 i;
HashMapBase<Key, Data>* p;
explicit constexpr itrB() : i(0), p(nullptr) {}
explicit constexpr itrB(u32 _i, HashMapBase<Key, Data>* _p) : i(_i), p(_p) {}
explicit constexpr itrB(u32 _i, const HashMapBase<Key, Data>* _p)
: i(_i), p(const_cast<HashMapBase<Key, Data>*>(_p)) {}
friend void swap(itrB& l, itrB& r) { swap(l.i, r.i), swap(l.p, r.p); }
friend bool operator==(const itrB& l, const itrB& r) { return l.i == r.i; }
friend bool operator!=(const itrB& l, const itrB& r) { return l.i != r.i; }
const ref operator*() const {
return const_cast<const HashMapBase<Key, Data>*>(p)->data[i];
}
ref operator*() { return p->data[i]; }
ptr operator->() const { return &(p->data[i]); }
itrB& operator++() {
assert(i != p->cap && "itr::operator++()");
do {
i++;
if (i == p->cap) break;
if (p->occupied_flag[i] && !p->deleted_flag[i]) break;
} while (true);
return (*this);
}
itrB operator++(int) {
itrB it(*this);
++(*this);
return it;
}
itrB& operator--() {
do {
i--;
if (p->occupied_flag[i] && !p->deleted_flag[i]) break;
assert(i != 0 && "itr::operator--()");
} while (true);
return (*this);
}
itrB operator--(int) {
itrB it(*this);
--(*this);
return it;
}
};
template <typename Key, typename Data>
struct HashMapBase {
using u32 = uint32_t;
using u64 = uint64_t;
using iterator = itrB<Key, Data>;
using itr = iterator;
protected:
template <typename K>
inline u64 randomized(const K& key) const {
return u64(key) ^ r;
}
template <typename K,
enable_if_t<is_same<K, Key>::value, nullptr_t> = nullptr,
enable_if_t<is_integral<K>::value, nullptr_t> = nullptr>
inline u32 inner_hash(const K& key) const {
return (randomized(key) * 11995408973635179863ULL) >> shift;
}
template <
typename K, enable_if_t<is_same<K, Key>::value, nullptr_t> = nullptr,
enable_if_t<is_integral<decltype(K::first)>::value, nullptr_t> = nullptr,
enable_if_t<is_integral<decltype(K::second)>::value, nullptr_t> = nullptr>
inline u32 inner_hash(const K& key) const {
u64 a = randomized(key.first), b = randomized(key.second);
a *= 11995408973635179863ULL;
b *= 10150724397891781847ULL;
return (a + b) >> shift;
}
template <typename K,
enable_if_t<is_same<K, Key>::value, nullptr_t> = nullptr,
enable_if_t<is_integral<typename K::value_type>::value, nullptr_t> =
nullptr>
inline u32 inner_hash(const K& key) const {
static constexpr u64 mod = (1LL << 61) - 1;
static constexpr u64 base = 950699498548472943ULL;
u64 res = 0;
for (auto& elem : key) {
__uint128_t x = __uint128_t(res) * base + (randomized(elem) & mod);
res = (x & mod) + (x >> 61);
}
__uint128_t x = __uint128_t(res) * base;
res = (x & mod) + (x >> 61);
if (res >= mod) res -= mod;
return res >> (shift - 3);
}
template <typename D = Data,
enable_if_t<is_same<D, Key>::value, nullptr_t> = nullptr>
inline u32 hash(const D& dat) const {
return inner_hash(dat);
}
template <
typename D = Data,
enable_if_t<is_same<decltype(D::first), Key>::value, nullptr_t> = nullptr>
inline u32 hash(const D& dat) const {
return inner_hash(dat.first);
}
template <typename D = Data,
enable_if_t<is_same<D, Key>::value, nullptr_t> = nullptr>
inline Key data_to_key(const D& dat) const {
return dat;
}
template <
typename D = Data,
enable_if_t<is_same<decltype(D::first), Key>::value, nullptr_t> = nullptr>
inline Key data_to_key(const D& dat) const {
return dat.first;
}
void reallocate(u32 ncap) {
vector<Data> ndata(ncap);
vector<bool> nf(ncap);
shift = 64 - __lg(ncap);
for (u32 i = 0; i < cap; i++) {
if (occupied_flag[i] && !deleted_flag[i]) {
u32 h = hash(data[i]);
while (nf[h]) h = (h + 1) & (ncap - 1);
ndata[h] = move(data[i]);
nf[h] = true;
}
}
data.swap(ndata);
occupied_flag.swap(nf);
cap = ncap;
occupied = s;
deleted_flag.resize(cap);
fill(std::begin(deleted_flag), std::end(deleted_flag), false);
}
inline bool extend_rate(u32 x) const { return x * 2 >= cap; }
inline bool shrink_rate(u32 x) const {
return HASHMAP_DEFAULT_SIZE < cap && x * 10 <= cap;
}
inline void extend() { reallocate(cap << 1); }
inline void shrink() { reallocate(cap >> 1); }
public:
u32 cap, s, occupied;
vector<Data> data;
vector<bool> occupied_flag, deleted_flag;
u32 shift;
static u64 r;
static constexpr uint32_t HASHMAP_DEFAULT_SIZE = 4;
explicit HashMapBase()
: cap(HASHMAP_DEFAULT_SIZE),
s(0),
occupied(0),
data(cap),
occupied_flag(cap),
deleted_flag(cap),
shift(64 - __lg(cap)) {}
itr begin() const {
u32 h = 0;
while (h != cap) {
if (occupied_flag[h] && !deleted_flag[h]) break;
h++;
}
return itr(h, this);
}
itr end() const { return itr(this->cap, this); }
friend itr begin(const HashMapBase& h) { return h.begin(); }
friend itr end(const HashMapBase& h) { return h.end(); }
itr find(const Key& key) const {
u32 h = inner_hash(key);
while (true) {
if (occupied_flag[h] == false) return this->end();
if (data_to_key(data[h]) == key) {
if (deleted_flag[h] == true) return this->end();
return itr(h, this);
}
h = (h + 1) & (cap - 1);
}
}
bool contain(const Key& key) const { return find(key) != this->end(); }
itr insert(const Data& d) {
u32 h = hash(d);
while (true) {
if (occupied_flag[h] == false) {
if (extend_rate(occupied + 1)) {
extend();
h = hash(d);
continue;
}
data[h] = d;
occupied_flag[h] = true;
++occupied, ++s;
return itr(h, this);
}
if (data_to_key(data[h]) == data_to_key(d)) {
if (deleted_flag[h] == true) {
data[h] = d;
deleted_flag[h] = false;
++s;
}
return itr(h, this);
}
h = (h + 1) & (cap - 1);
}
}
// tips for speed up :
// if return value is unnecessary, make argument_2 false.
itr erase(itr it, bool get_next = true) {
if (it == this->end()) return this->end();
s--;
if (!get_next) {
this->deleted_flag[it.i] = true;
if (shrink_rate(s)) shrink();
return this->end();
}
itr nxt = it;
nxt++;
this->deleted_flag[it.i] = true;
if (shrink_rate(s)) {
Data d = data[nxt.i];
shrink();
it = find(data_to_key(d));
}
return nxt;
}
itr erase(const Key& key) { return erase(find(key)); }
int count(const Key& key) { return find(key) == end() ? 0 : 1; }
bool empty() const { return s == 0; }
int size() const { return s; }
void clear() {
fill(std::begin(occupied_flag), std::end(occupied_flag), false);
fill(std::begin(deleted_flag), std::end(deleted_flag), false);
s = occupied = 0;
}
void reserve(int n) {
if (n <= 0) return;
n = 1 << min(23, __lg(n) + 2);
if (cap < u32(n)) reallocate(n);
}
};
template <typename Key, typename Data>
uint64_t HashMapBase<Key, Data>::r =
chrono::duration_cast<chrono::nanoseconds>(
chrono::high_resolution_clock::now().time_since_epoch())
.count();
} // namespace HashMapImpl
/**
* @brief Hash Map(base) (ハッシュマップ・基底クラス)
*/
template <typename Key>
struct HashSet : HashMapImpl::HashMapBase<Key, Key> {
using HashMapImpl::HashMapBase<Key, Key>::HashMapBase;
};
/*
* @brief ハッシュセット(集合)
* @docs docs/hashmap/hashset.md
**/
using namespace std;
namespace RadixSortImpl {
constexpr int b = 8;
constexpr int powb = 1 << b;
constexpr int mask = powb - 1;
int cnt0[powb];
int cnt1[powb];
int cnt2[powb];
int cnt3[powb];
template <typename T>
void radix_sort(int N, T* p) {
static_assert(sizeof(T) == 4 or sizeof(T) == 8);
if (!N) return;
if (N <= 64) {
sort(p, p + N);
return;
}
static T* tmp = nullptr;
static int tmp_size = 0;
if (!tmp or tmp_size < N) {
if (tmp) delete[] tmp;
tmp_size = 1;
while (tmp_size < N) tmp_size *= 2;
tmp = new T[tmp_size];
}
memset(cnt0, 0, sizeof(cnt0));
memset(cnt1, 0, sizeof(cnt1));
memset(cnt2, 0, sizeof(cnt2));
memset(cnt3, 0, sizeof(cnt3));
for (int i = 0; i < N; i++) {
cnt0[p[i] & mask]++;
cnt1[(p[i] >> b) & mask]++;
cnt2[(p[i] >> b * 2) & mask]++;
cnt3[(p[i] >> b * 3) & mask]++;
}
for (int i = 0; i < powb - 1; i++) {
cnt0[i + 1] += cnt0[i];
cnt1[i + 1] += cnt1[i];
cnt2[i + 1] += cnt2[i];
cnt3[i + 1] += cnt3[i];
}
for (int i = N; i--;) tmp[--cnt0[p[i] & mask]] = p[i];
for (int i = N; i--;) p[--cnt1[tmp[i] >> b & mask]] = tmp[i];
for (int i = N; i--;) tmp[--cnt2[p[i] >> b * 2 & mask]] = p[i];
for (int i = N; i--;) p[--cnt3[tmp[i] >> b * 3 & mask]] = tmp[i];
if constexpr (sizeof(T) == 8) {
memset(cnt0, 0, sizeof(cnt0));
for (int i = 0; i < N; i++) cnt0[p[i] >> b * 4 & mask]++;
for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i];
for (int i = N; i--;) tmp[--cnt0[p[i] >> b * 4 & mask]] = p[i];
memset(cnt0, 0, sizeof(cnt0));
for (int i = 0; i < N; i++) cnt0[tmp[i] >> b * 5 & mask]++;
for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i];
for (int i = N; i--;) p[--cnt0[tmp[i] >> b * 5 & mask]] = tmp[i];
memset(cnt0, 0, sizeof(cnt0));
for (int i = 0; i < N; i++) cnt0[p[i] >> b * 6 & mask]++;
for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i];
for (int i = N; i--;) tmp[--cnt0[p[i] >> b * 6 & mask]] = p[i];
memset(cnt0, 0, sizeof(cnt0));
for (int i = 0; i < N; i++) cnt0[tmp[i] >> b * 7 & mask]++;
for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i];
for (int i = N; i--;) p[--cnt0[tmp[i] >> b * 7 & mask]] = tmp[i];
}
if constexpr (is_signed<T>::value) {
int i = N;
while (i and p[i - 1] < 0) i--;
rotate(p, p + i, p + N);
}
}
// N 10^7 int : 90 ms
// N 10^7 ll : 220 ms
template <typename T>
void radix_sort(vector<T>& v) {
radix_sort(v.size(), v.data());
}
// first の順にソート, second は不問
template <typename T, typename U>
void radix_sort_compare_first(int N, pair<T, U>* p) {
static_assert(sizeof(T) == 4 or sizeof(T) == 8);
if (!N) return;
if (N <= 64) {
stable_sort(p, p + N, [](const pair<T, U>& s, const pair<T, U>& t) {
return s.first < t.first;
});
return;
}
static pair<T, U>* tmp = nullptr;
static int tmp_size = 0;
if (!tmp or tmp_size < N) {
if (tmp) delete[] tmp;
tmp_size = 1;
while (tmp_size < N) tmp_size *= 2;
tmp = new pair<T, U>[tmp_size];
}
memset(cnt0, 0, sizeof(cnt0));
for (int i = 0; i < N; i++) cnt0[p[i].first & mask]++;
for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i];
for (int i = N; i--;) tmp[--cnt0[p[i].first & mask]] = p[i];
memset(cnt0, 0, sizeof(cnt0));
for (int i = 0; i < N; i++) cnt0[tmp[i].first >> b & mask]++;
for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i];
for (int i = N; i--;) p[--cnt0[tmp[i].first >> b & mask]] = tmp[i];
memset(cnt0, 0, sizeof(cnt0));
for (int i = 0; i < N; i++) cnt0[p[i].first >> b * 2 & mask]++;
for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i];
for (int i = N; i--;) tmp[--cnt0[p[i].first >> b * 2 & mask]] = p[i];
memset(cnt0, 0, sizeof(cnt0));
for (int i = 0; i < N; i++) cnt0[tmp[i].first >> b * 3 & mask]++;
for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i];
for (int i = N; i--;) p[--cnt0[tmp[i].first >> b * 3 & mask]] = tmp[i];
if constexpr (sizeof(T) == 8) {
memset(cnt0, 0, sizeof(cnt0));
for (int i = 0; i < N; i++) cnt0[p[i].first >> b * 4 & mask]++;
for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i];
for (int i = N; i--;) tmp[--cnt0[p[i].first >> b * 4 & mask]] = p[i];
memset(cnt0, 0, sizeof(cnt0));
for (int i = 0; i < N; i++) cnt0[tmp[i].first >> b * 5 & mask]++;
for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i];
for (int i = N; i--;) p[--cnt0[tmp[i].first >> b * 5 & mask]] = tmp[i];
memset(cnt0, 0, sizeof(cnt0));
for (int i = 0; i < N; i++) cnt0[p[i].first >> b * 6 & mask]++;
for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i];
for (int i = N; i--;) tmp[--cnt0[p[i].first >> b * 6 & mask]] = p[i];
memset(cnt0, 0, sizeof(cnt0));
for (int i = 0; i < N; i++) cnt0[tmp[i].first >> b * 7 & mask]++;
for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i];
for (int i = N; i--;) p[--cnt0[tmp[i].first >> b * 7 & mask]] = tmp[i];
}
if constexpr (is_signed<T>::value) {
int i = N;
while (i and p[i - 1].first < 0) i--;
rotate(p, p + i, p + N);
}
}
// first の順にソート, second は不問
// N 10^7 int : 130 ms
// N 10^7 ll : 370 ms
template <typename T, typename U>
void radix_sort_compare_first(vector<pair<T, U>>& v) {
radix_sort_compare_first(v.size(), v.data());
}
} // namespace RadixSortImpl
using RadixSortImpl::radix_sort;
using RadixSortImpl::radix_sort_compare_first;
long long fast_div(long long a, long long b) { return 1.0 * a / b; }
// { (q, l, r) : forall x in (l,r], floor(N/x) = q }
// を引数に取る関数f(q, l, r)を渡す。範囲が左に半開なのに注意
template <typename T, typename F>
void enumerate_quotient(T N, const F& f) {
T sq = sqrt(N), upper = N, quo = 0;
while (upper > sq) {
T thres = fast_div(N, (++quo + 1));
f(quo, thres, upper);
upper = thres;
}
while (upper > 0) {
f(fast_div(N, upper), upper - 1, upper);
upper--;
}
}
/**
* @brief 商の列挙
*/
struct Timer {
chrono::high_resolution_clock::time_point st;
Timer() { reset(); }
void reset() { st = chrono::high_resolution_clock::now(); }
chrono::milliseconds::rep elapsed() {
auto ed = chrono::high_resolution_clock::now();
return chrono::duration_cast<chrono::milliseconds>(ed - st).count();
}
};
using namespace Nyaan;
void q() {
inl(N);
vi a(N);
in(a);
ll ans = infLL, bns = -1;
set<int> vis;
Timer timer;
vector<int> v(N);
auto test = [&](int q, int, int) {
if (timer.elapsed() > 1900) return;
if (vis.count(q)) return;
vis.insert(q);
rep(i, N) v[i] = 1.0 * a[i] / q;
radix_sort(v);
int c = 0;
for (int i = 0, j = 0; i < N; i = j) {
while (j != N and v[i] == v[j]) j++;
c++;
}
if (amin(ans, c * (q + 1))) bns = q;
};
enumerate_quotient<int>(Max(a) + 1, test);
if (Max(a)) enumerate_quotient<int>(Max(a), test);
out(bns);
out(ans);
}
void Nyaan::solve() {
int t = 1;
// in(t);
while (t--) q();
}