結果
| 問題 | No.2624 Prediction by Average |
| ユーザー |
 Aeren
|
| 提出日時 | 2024-02-09 22:18:50 |
| 言語 | C++23 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 9,144 bytes |
| コンパイル時間 | 2,677 ms |
| コンパイル使用メモリ | 256,872 KB |
| 実行使用メモリ | 6,824 KB |
| 最終ジャッジ日時 | 2024-09-28 15:34:20 |
| 合計ジャッジ時間 | 3,226 ms |
|
ジャッジサーバーID （参考情報） |
judge4 / judge3 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 1 |
| other | AC * 1 WA * 4 |
ソースコード
// #pragma GCC optimize("O3,unroll-loops")#include <bits/stdc++.h>// #include <x86intrin.h>using namespace std;#if __cplusplus >= 202002Lusing namespace numbers;#endiftemplate<int id, class data_t, class wider_data_t>struct modular_unfixed_base{#define IS_INTEGRAL(T) (is_integral_v<T> || is_same_v<T, __int128_t> || is_same_v<T, __uint128_t>)#define IS_UNSIGNED(T) (is_unsigned_v<T> || is_same_v<T, __uint128_t>)static_assert(IS_UNSIGNED(data_t) && IS_UNSIGNED(wider_data_t));static constexpr bool VARIATE_MOD_FLAG = true;static data_t _mod;static wider_data_t _inverse_mod;static data_t &mod(){return _mod;}static void precalc_barrett(){_inverse_mod = (wider_data_t)-1 / _mod + 1;}static void setup(data_t 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 primestatic 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;data_t divs[20] = {};divs[0] = 2;int cnt = 1;data_t 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(){ }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)>::type* = nullptr> modular_unfixed_base(const T &x){ data = _normalize(x); }template<class T, typename enable_if<IS_INTEGRAL(T)>::type* = nullptr> static data_t _normalize(const T &x){if(_mod == 1) return 0;if constexpr(is_same_v<data_t, unsigned int>){assert(_inverse_mod);int sign = x >= 0 ? 1 : -1;data_t 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;}else{int sign = x >= 0 ? 1 : -1;data_t v = _mod <= sign * x ? sign * x % _mod : sign * x;if(sign == -1 && v) v = _mod - v;return v;}}const data_t &operator()() const{ return data; }template<class T, typename enable_if<IS_INTEGRAL(T)>::type* = nullptr> 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)>::type* = nullptr> modular_unfixed_base &operator+=(const T &otr){ return *this +=modular_unfixed_base(otr); }template<class T, typename enable_if<IS_INTEGRAL(T)>::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){if constexpr(is_same_v<data_t, unsigned long long>){long long res = data * rhs.data - _mod * (unsigned long long)(1.L / _mod * data * rhs.data);data = res + _mod * (res < 0) - _mod * (res >= (long long)_mod);}else data = _normalize((wider_data_t)data * rhs.data);return *this;}template<class T, typename enable_if<IS_INTEGRAL(T)>::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)>::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){make_signed_t<data_t> a = otr.data, m = _mod, u = 0, v = 1;if(a < _INV.size()) return *this *= _INV[a];while(a){make_signed_t<data_t> t = m / a;m -= t * a; swap(a, m);u -= t * v; swap(u, v);}assert(m == 1);return *this *= u;}#define ARITHMETIC_OP(op, apply_op)\modular_unfixed_base operator op(const modular_unfixed_base &x) const{ return modular_unfixed_base(*this) apply_op x; }\template<class T, typename enable_if<IS_INTEGRAL(T)>::type* = nullptr>\modular_unfixed_base operator op(const T &x) const{ return modular_unfixed_base(*this) apply_op modular_unfixed_base(x); }\template<class T, typename enable_if<IS_INTEGRAL(T)>::type* = nullptr>\friend modular_unfixed_base operator op(const T &x, const modular_unfixed_base &y){ return modular_unfixed_base(x) apply_op y; }ARITHMETIC_OP(+, +=) ARITHMETIC_OP(-, -=) ARITHMETIC_OP(*, *=) ARITHMETIC_OP(/, /=)#undef ARITHMETIC_OP#define COMPARE_OP(op)\bool operator op(const modular_unfixed_base &x) const{ return data op x.data; }\template<class T, typename enable_if<IS_INTEGRAL(T)>::type* = nullptr>\bool operator op(const T &x) const{ return data op modular_unfixed_base(x).data; }\template<class T, typename enable_if<IS_INTEGRAL(T)>::type* = nullptr>\friend bool operator op(const T &x, const modular_unfixed_base &y){ return modular_unfixed_base(x).data op y.data; }COMPARE_OP(==) COMPARE_OP(!=) COMPARE_OP(<) COMPARE_OP(<=) COMPARE_OP(>) COMPARE_OP(>=)#undef COMPARE_OPfriend istream &operator>>(istream &in, modular_unfixed_base &number){long long x;in >> x;number.data = modular_unfixed_base::_normalize(x);return in;}//#define _SHOW_FRACTIONfriend ostream &operator<<(ostream &out, const modular_unfixed_base &number){out << number.data;#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 << ")";#endifreturn out;}data_t data = 0;#undef _SHOW_FRACTION#undef IS_INTEGRAL#undef IS_SIGNED};template<int id, class data_t, class wider_data_t> data_t modular_unfixed_base<id, data_t, wider_data_t>::_mod;template<int id, class data_t, class wider_data_t> wider_data_t modular_unfixed_base<id, data_t, wider_data_t>::_inverse_mod;template<int id, class data_t, class wider_data_t> vector<modular_unfixed_base<id, data_t, wider_data_t>> modular_unfixed_base<id, data_t,wider_data_t>::_INV;template<int id, class data_t, class wider_data_t> modular_unfixed_base<id, data_t, wider_data_t> modular_unfixed_base<id, data_t, wider_data_t>::_primitive_root;using modular = modular_unfixed_base<0, unsigned int, unsigned long long>;// using modular = modular_unfixed_base<0, unsigned long long, __uint128_t>;int main(){cin.tie(0)->sync_with_stdio(0);cin.exceptions(ios::badbit | ios::failbit);auto __solve_tc = [&](auto __tc_num)->int{long long th;string s;cin >> th >> s;{auto it = ranges::find(s, '.');if(it == s.end()){s += '.';it = prev(s.end());}s += string(4 - (s.end() - it), '0');erase(s, '.');}int avg = stoi(s) % 1000;long long res = 0;{ // 0int req = 1000 / gcd(avg, 1000);res += th / req;}for(auto rem = 1; rem <= 999; ++ rem){// 1000 - rem <= nif(1000 - rem > th){continue;}if(rem % gcd(1000, avg)){continue;}int g = gcd(1000, avg);int p = avg / g;int q = rem / g;int mod = 1000 / g;modular::setup(mod);int r = modular(q) / p;if(th >= r){res += 1 + (th - r) / mod;if(999 - rem >= r){res -= 1 + (999 - rem - r) / mod;}}}cout << res << "\n";return 0;};int __tc_cnt;cin >> __tc_cnt;for(auto __tc_num = 0; __tc_num < __tc_cnt; ++ __tc_num){__solve_tc(__tc_num);}return 0;}/*9,*/