結果

問題 No.2537 多重含意
ユーザー AerenAeren
提出日時 2023-11-10 22:41:11
言語 C++23
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 55 ms / 2,000 ms
コード長 10,465 bytes
コンパイル時間 2,859 ms
コンパイル使用メモリ 252,316 KB
実行使用メモリ 5,632 KB
最終ジャッジ日時 2024-09-26 01:57:38
合計ジャッジ時間 4,258 ms
ジャッジサーバーID
(参考情報)
judge5 / judge2
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ファイルパターン 結果
other AC * 24
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ソースコード

diff #
プレゼンテーションモードにする

#include <bits/stdc++.h>
// #include <x86intrin.h>
using namespace std;
using namespace numbers;
template<int id>
struct modular_unfixed_base{
static unsigned int _mod;
static unsigned long long _inverse_mod;
static unsigned int &mod(){
return _mod;
}
static void precalc_barrett(){
_inverse_mod = (unsigned long long)-1 / _mod + 1;
}
static void setup(unsigned int mod = 0){
if(!mod) cin >> mod;
_mod = mod;
assert(_mod >= 1);
precalc_barrett();
}
template<class T>
static vector<modular_unfixed_base> precalc_power(T base, int SZ){
vector<modular_unfixed_base> res(SZ + 1, 1);
for(auto i = 1; i <= SZ; ++ i) res[i] = res[i - 1] * base;
return res;
}
static vector<modular_unfixed_base> _INV;
static void precalc_inverse(int SZ){
if(_INV.empty()) _INV.assign(2, 1);
for(auto x = _INV.size(); x <= SZ; ++ x) _INV.push_back(_mod / x * -_INV[_mod % x]);
}
// _mod must be a prime
static modular_unfixed_base _primitive_root;
static modular_unfixed_base primitive_root(){
if(_primitive_root) return _primitive_root;
if(_mod == 2) return _primitive_root = 1;
if(_mod == 998244353) return _primitive_root = 3;
unsigned int divs[20] = {};
divs[0] = 2;
int cnt = 1;
unsigned int x = (_mod - 1) / 2;
while(x % 2 == 0) x /= 2;
for(auto i = 3; 1LL * i * i <= x; i += 2){
if(x % i == 0){
divs[cnt ++] = i;
while(x % i == 0) x /= i;
}
}
if(x > 1) divs[cnt ++] = x;
for(auto g = 2; ; ++ g){
bool ok = true;
for(auto i = 0; i < cnt; ++ i){
if((modular_unfixed_base(g).power((_mod - 1) / divs[i])) == 1){
ok = false;
break;
}
}
if(ok) return _primitive_root = g;
}
}
constexpr modular_unfixed_base(): data(){ }
modular_unfixed_base(const double &x){ data = normalize(llround(x)); }
modular_unfixed_base(const long double &x){ data = normalize(llround(x)); }
template<class T, typename enable_if<is_integral<T>::value>::type* = nullptr> modular_unfixed_base(const T &x){ data = normalize(x); }
template<class T, typename enable_if<is_integral<T>::value>::type* = nullptr> static unsigned int normalize(const T &x){
if(_mod == 1) return 0;
assert(_inverse_mod);
int sign = x >= 0 ? 1 : -1;
unsigned int v = _mod <= sign * x ? sign * x - ((__uint128_t)(sign * x) * _inverse_mod >> 64) * _mod : sign * x;
if(v >= _mod) v += _mod;
if(sign == -1 && v) v = _mod - v;
return v;
}
const unsigned int &operator()() const{ return data; }
template<class T> operator T() const{ return data; }
modular_unfixed_base &operator+=(const modular_unfixed_base &otr){ if((data += otr.data) >= _mod) data -= _mod; return *this; }
modular_unfixed_base &operator-=(const modular_unfixed_base &otr){ if((data += _mod - otr.data) >= _mod) data -= _mod; return *this; }
template<class T, typename enable_if<is_integral<T>::value>::type* = nullptr> modular_unfixed_base &operator+=(const T &otr){ return *this +=
        modular_unfixed_base(otr); }
template<class T, typename enable_if<is_integral<T>::value>::type* = nullptr> modular_unfixed_base &operator-=(const T &otr){ return *this -=
        modular_unfixed_base(otr); }
modular_unfixed_base &operator++(){ return *this += 1; }
modular_unfixed_base &operator--(){ return *this += _mod - 1; }
modular_unfixed_base operator++(int){ modular_unfixed_base result(*this); *this += 1; return result; }
modular_unfixed_base operator--(int){ modular_unfixed_base result(*this); *this += _mod - 1; return result; }
modular_unfixed_base operator-() const{ return modular_unfixed_base(_mod - data); }
modular_unfixed_base &operator*=(const modular_unfixed_base &rhs){
data = normalize((unsigned long long)data * rhs.data);
return *this;
}
template<class T, typename enable_if<is_integral<T>::value>::type* = nullptr>
modular_unfixed_base &inplace_power(T e){
if(e == 0) return *this = 1;
if(data == 0) return *this = {};
if(data == 1) return *this;
if(data == mod() - 1) return e % 2 ? *this : *this = -*this;
if(e < 0) *this = 1 / *this, e = -e;
modular_unfixed_base res = 1;
for(; e; *this *= *this, e >>= 1) if(e & 1) res *= *this;
return *this = res;
}
template<class T, typename enable_if<is_integral<T>::value>::type* = nullptr>
modular_unfixed_base power(T e) const{
return modular_unfixed_base(*this).inplace_power(e);
}
modular_unfixed_base &operator/=(const modular_unfixed_base &otr){
int a = otr.data, m = _mod, u = 0, v = 1;
if(a < _INV.size()) return *this *= _INV[a];
while(a){
int t = m / a;
m -= t * a; swap(a, m);
u -= t * v; swap(u, v);
}
assert(m == 1);
return *this *= u;
}
unsigned int data;
};
template<int id> unsigned int modular_unfixed_base<id>::_mod;
template<int id> unsigned long long modular_unfixed_base<id>::_inverse_mod;
template<int id> vector<modular_unfixed_base<id>> modular_unfixed_base<id>::_INV;
template<int id> modular_unfixed_base<id> modular_unfixed_base<id>::_primitive_root;
template<int id> bool operator==(const modular_unfixed_base<id> &lhs, const modular_unfixed_base<id> &rhs){ return lhs.data == rhs.data; }
template<int id, class T, typename enable_if<is_integral<T>::value>::type* = nullptr> bool operator==(const modular_unfixed_base<id> &lhs, T rhs){
    return lhs == modular_unfixed_base<id>(rhs); }
template<int id, class T, typename enable_if<is_integral<T>::value>::type* = nullptr> bool operator==(T lhs, const modular_unfixed_base<id> &rhs){
    return modular_unfixed_base<id>(lhs) == rhs; }
template<int id> bool operator!=(const modular_unfixed_base<id> &lhs, const modular_unfixed_base<id> &rhs){ return !(lhs == rhs); }
template<int id, class T, typename enable_if<is_integral<T>::value>::type* = nullptr> bool operator!=(const modular_unfixed_base<id> &lhs, T rhs){
    return !(lhs == rhs); }
template<int id, class T, typename enable_if<is_integral<T>::value>::type* = nullptr> bool operator!=(T lhs, const modular_unfixed_base<id> &rhs){
    return !(lhs == rhs); }
template<int id> bool operator<(const modular_unfixed_base<id> &lhs, const modular_unfixed_base<id> &rhs){ return lhs.data < rhs.data; }
template<int id> bool operator>(const modular_unfixed_base<id> &lhs, const modular_unfixed_base<id> &rhs){ return lhs.data > rhs.data; }
template<int id> bool operator<=(const modular_unfixed_base<id> &lhs, const modular_unfixed_base<id> &rhs){ return lhs.data <= rhs.data; }
template<int id> bool operator>=(const modular_unfixed_base<id> &lhs, const modular_unfixed_base<id> &rhs){ return lhs.data >= rhs.data; }
template<int id> modular_unfixed_base<id> operator+(const modular_unfixed_base<id> &lhs, const modular_unfixed_base<id> &rhs){ return
    modular_unfixed_base<id>(lhs) += rhs; }
template<int id, class T, typename enable_if<is_integral<T>::value>::type* = nullptr> modular_unfixed_base<id> operator+(const modular_unfixed_base
    <id> &lhs, T rhs){ return modular_unfixed_base<id>(lhs) += rhs; }
template<int id, class T, typename enable_if<is_integral<T>::value>::type* = nullptr> modular_unfixed_base<id> operator+(T lhs, const
    modular_unfixed_base<id> &rhs){ return modular_unfixed_base<id>(lhs) += rhs; }
template<int id> modular_unfixed_base<id> operator-(const modular_unfixed_base<id> &lhs, const modular_unfixed_base<id> &rhs){ return
    modular_unfixed_base<id>(lhs) -= rhs; }
template<int id, class T, typename enable_if<is_integral<T>::value>::type* = nullptr> modular_unfixed_base<id> operator-(const modular_unfixed_base
    <id> &lhs, T rhs){ return modular_unfixed_base<id>(lhs) -= rhs; }
template<int id, class T, typename enable_if<is_integral<T>::value>::type* = nullptr> modular_unfixed_base<id> operator-(T lhs, const
    modular_unfixed_base<id> &rhs){ return modular_unfixed_base<id>(lhs) -= rhs; }
template<int id> modular_unfixed_base<id> operator*(const modular_unfixed_base<id> &lhs, const modular_unfixed_base<id> &rhs){ return
    modular_unfixed_base<id>(lhs) *= rhs; }
template<int id, class T, typename enable_if<is_integral<T>::value>::type* = nullptr> modular_unfixed_base<id> operator*(const modular_unfixed_base
    <id> &lhs, T rhs){ return modular_unfixed_base<id>(lhs) *= rhs; }
template<int id, class T, typename enable_if<is_integral<T>::value>::type* = nullptr> modular_unfixed_base<id> operator*(T lhs, const
    modular_unfixed_base<id> &rhs){ return modular_unfixed_base<id>(lhs) *= rhs; }
template<int id> modular_unfixed_base<id> operator/(const modular_unfixed_base<id> &lhs, const modular_unfixed_base<id> &rhs) { return
    modular_unfixed_base<id>(lhs) /= rhs; }
template<int id, class T, typename enable_if<is_integral<T>::value>::type* = nullptr> modular_unfixed_base<id> operator/(const modular_unfixed_base
    <id> &lhs, T rhs) { return modular_unfixed_base<id>(lhs) /= rhs; }
template<int id, class T, typename enable_if<is_integral<T>::value>::type* = nullptr> modular_unfixed_base<id> operator/(T lhs, const
    modular_unfixed_base<id> &rhs) { return modular_unfixed_base<id>(lhs) /= rhs; }
template<int id> istream &operator>>(istream &in, modular_unfixed_base<id> &number){
long long x;
in >> x;
number.data = modular_unfixed_base<id>::normalize(x);
return in;
}
// #define _SHOW_FRACTION
template<int id> ostream &operator<<(ostream &out, const modular_unfixed_base<id> &number){
out << number();
#if defined(LOCAL) && defined(_SHOW_FRACTION)
cerr << "(";
for(auto d = 1; ; ++ d){
if((number * d).data <= 1000000){
cerr << (number * d).data;
if(d != 1) cerr << "/" << d;
break;
}
else if((-number * d).data <= 1000000){
cerr << "-" << (-number * d).data;
if(d != 1) cerr << "/" << d;
break;
}
}
cerr << ")";
#endif
return out;
}
#undef _SHOW_FRACTION
using modular = modular_unfixed_base<0>;
int main(){
cin.tie(0)->sync_with_stdio(0);
cin.exceptions(ios::badbit | ios::failbit);
int n;
cin >> n;
modular::setup();
set<int> appear;
modular cur = 0;
for(auto i = 0; i < n; ++ i){
int x;
cin >> x;
bool is_new = appear.insert(x).second;
cout << cur + modular(2).power(n - (int)appear.size()) << "\n";
if(is_new){
cur += modular(2).power(n - (int)appear.size());
}
}
return 0;
}
/*
*/
////////////////////////////////////////////////////////////////////////////////////////
// //
// Coded by Aeren //
// //
////////////////////////////////////////////////////////////////////////////////////////
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