結果
| 問題 | No.1339 循環小数 |
| ユーザー |
 NyaanNyaan
|
| 提出日時 | 2021-01-15 21:41:47 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 355 ms / 2,000 ms |
| コード長 | 16,922 bytes |
| コンパイル時間 | 2,697 ms |
| コンパイル使用メモリ | 276,332 KB |
| 最終ジャッジ日時 | 2025-01-17 18:49:05 |
|
ジャッジサーバーID （参考情報） |
judge2 / judge3 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 1 |
| other | AC * 36 |
ソースコード
/**
* date : 2021-01-15 21:41:42
*/
#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 <csetjmp>
#include <csignal>
#include <cstdarg>
#include <cstddef>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <ctime>
#include <deque>
#include <exception>
#include <forward_list>
#include <fstream>
#include <functional>
#include <initializer_list>
#include <iomanip>
#include <ios>
#include <iosfwd>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <locale>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <random>
#include <ratio>
#include <regex>
#include <set>
#include <sstream>
#include <stack>
#include <stdexcept>
#include <streambuf>
#include <string>
#include <system_error>
#include <tuple>
#include <type_traits>
#include <typeinfo>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <valarray>
#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;
T &x() { return first; }
const T &x() const { return first; }
U &y() { return second; }
const U &y() const { return 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;
}
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; }
};
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, size_t N>
void mem(T (&a)[N], int c) {
memset(a, c, sizeof(T) * N);
}
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>
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<T> reord(const vector<T> &v, const vector<T> &ord) {
int N = v.size();
vector<T> ret(N);
for (int i = 0; i < N; i++) ret[i] = v[ord[i]];
return ret;
};
template <typename T = int>
vector<T> mkiota(int N) {
vector<T> ret(N);
iota(begin(ret), end(ret), 0);
return ret;
}
template <typename T>
vector<int> mkinv(vector<T> &v, int max_val = -1) {
if (max_val < (int)v.size()) max_val = v.size() - 1;
vector<int> inv(max_val + 1, -1);
for (int i = 0; i < (int)v.size(); i++) inv[v[i]] = i;
return inv;
}
} // namespace Nyaan
// bit operation
namespace Nyaan {
__attribute__((target("popcnt"))) inline int popcnt(const u64 &a) {
return _mm_popcnt_u64(a);
}
__attribute__((target("bmi"))) inline int lsb(const u64 &a) {
return _tzcnt_u64(a);
}
__attribute__((target("bmi"))) inline int ctz(const u64 &a) {
return _tzcnt_u64(a);
}
__attribute__((target("lzcnt"))) inline int msb(const u64 &a) {
return 63 - _lzcnt_u64(a);
}
__attribute__((target("lzcnt"))) inline int clz64(const u64 &a) {
return _lzcnt_u64(a);
}
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) {
a ^= (gbit(a, i) == b ? 0 : (T(b) << 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;
}
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
namespace DebugImpl {
template <typename U, typename = void>
struct is_specialize : false_type {};
template <typename U>
struct is_specialize<
U, typename conditional<false, typename U::iterator, void>::type>
: true_type {};
template <typename U>
struct is_specialize<
U, typename conditional<false, decltype(U::first), void>::type>
: true_type {};
template <typename U>
struct is_specialize<U, enable_if_t<is_integral<U>::value, void>> : true_type {
};
void dump(const char& t) { cerr << t; }
void dump(const string& t) { cerr << t; }
template <typename U,
enable_if_t<!is_specialize<U>::value, nullptr_t> = nullptr>
void dump(const U& t) {
cerr << t;
}
template <typename T>
void dump(const T& t, enable_if_t<is_integral<T>::value>* = nullptr) {
string res;
if (t == Nyaan::inf) res = "inf";
if (is_signed<T>::value)
if (t == -Nyaan::inf) res = "-inf";
if (sizeof(T) == 8) {
if (t == Nyaan::infLL) res = "inf";
if (is_signed<T>::value)
if (t == -Nyaan::infLL) res = "-inf";
}
if (res.empty()) res = to_string(t);
cerr << res;
}
template <typename T, typename U>
void dump(const pair<T, U>&);
template <typename T>
void dump(const pair<T*, int>&);
template <typename T>
void dump(const T& t,
enable_if_t<!is_void<typename T::iterator>::value>* = nullptr) {
cerr << "[ ";
for (auto it = t.begin(); it != t.end();) {
dump(*it);
cerr << (++it == t.end() ? "" : ", ");
}
cerr << " ]";
}
template <typename T, typename U>
void dump(const pair<T, U>& t) {
cerr << "( ";
dump(t.first);
cerr << ", ";
dump(t.second);
cerr << " )";
}
template <typename T>
void dump(const pair<T*, int>& t) {
cerr << "[ ";
for (int i = 0; i < t.second; i++) {
dump(t.first[i]);
cerr << (i == t.second - 1 ? "" : ", ");
}
cerr << " ]";
}
void trace() { cerr << endl; }
template <typename Head, typename... Tail>
void trace(Head&& head, Tail&&... tail) {
cerr << " ";
dump(head);
if (sizeof...(tail) != 0) cerr << ",";
trace(forward<Tail>(tail)...);
}
} // namespace DebugImpl
#ifdef NyaanDebug
#define trc(...) \
do { \
cerr << "## " << #__VA_ARGS__ << " = "; \
DebugImpl::trace(__VA_ARGS__); \
} while (0)
#else
#define trc(...)
#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 repc(i, a, cond) for (long long i = (a); (cond); i++)
#define enm(i, val, vec) \
for (long long i = 0; i < (long long)(vec).size(); i++) \
if (auto& val = vec[i]; false) \
; \
else
#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 inc(...) \
char __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(); }
//
using namespace Nyaan;
struct ArbitraryModInt {
int x;
ArbitraryModInt() : x(0) {}
ArbitraryModInt(int64_t y)
: x(y >= 0 ? y % get_mod() : (get_mod() - (-y) % get_mod()) % get_mod()) {
}
ArbitraryModInt &operator+=(const ArbitraryModInt &p) {
if ((x += p.x) >= get_mod()) x -= get_mod();
return *this;
}
ArbitraryModInt &operator-=(const ArbitraryModInt &p) {
if ((x += get_mod() - p.x) >= get_mod()) x -= get_mod();
return *this;
}
ArbitraryModInt &operator*=(const ArbitraryModInt &p) {
unsigned long long a = (unsigned long long)x * p.x;
unsigned xh = (unsigned)(a >> 32), xl = (unsigned)a, d, m;
asm("divl %4; \n\t" : "=a"(d), "=d"(m) : "d"(xh), "a"(xl), "r"(get_mod()));
x = m;
return *this;
}
ArbitraryModInt &operator/=(const ArbitraryModInt &p) {
*this *= p.inverse();
return *this;
}
ArbitraryModInt operator-() const { return ArbitraryModInt(-x); }
ArbitraryModInt operator+(const ArbitraryModInt &p) const {
return ArbitraryModInt(*this) += p;
}
ArbitraryModInt operator-(const ArbitraryModInt &p) const {
return ArbitraryModInt(*this) -= p;
}
ArbitraryModInt operator*(const ArbitraryModInt &p) const {
return ArbitraryModInt(*this) *= p;
}
ArbitraryModInt operator/(const ArbitraryModInt &p) const {
return ArbitraryModInt(*this) /= p;
}
bool operator==(const ArbitraryModInt &p) const { return x == p.x; }
bool operator!=(const ArbitraryModInt &p) const { return x != p.x; }
ArbitraryModInt inverse() const {
int a = x, b = get_mod(), u = 1, v = 0, t;
while (b > 0) {
t = a / b;
swap(a -= t * b, b);
swap(u -= t * v, v);
}
return ArbitraryModInt(u);
}
ArbitraryModInt pow(int64_t n) const {
ArbitraryModInt ret(1), mul(x);
while (n > 0) {
if (n & 1) ret *= mul;
mul *= mul;
n >>= 1;
}
return ret;
}
friend ostream &operator<<(ostream &os, const ArbitraryModInt &p) {
return os << p.x;
}
friend istream &operator>>(istream &is, ArbitraryModInt &a) {
int64_t t;
is >> t;
a = ArbitraryModInt(t);
return (is);
}
int get() const { return x; }
static int &get_mod() {
static int mod = 0;
return mod;
}
static void set_mod(int md) { get_mod() = md; }
};
template <typename Key, typename Val>
struct HashMap {
using u32 = uint32_t;
using u64 = uint64_t;
u32 cap, s;
vector<Key> keys;
vector<Val> vals;
vector<bool> flag;
u64 r;
u32 shift;
Val DefaultValue;
static u64 rng() {
u64 m = chrono::duration_cast<chrono::nanoseconds>(
chrono::high_resolution_clock::now().time_since_epoch())
.count();
m ^= m >> 16;
m ^= m << 32;
return m;
}
void reallocate() {
cap <<= 1;
vector<Key> k(cap);
vector<Val> v(cap);
vector<bool> f(cap);
u32 sh = shift - 1;
for (int i = 0; i < (int)flag.size(); i++) {
if (flag[i]) {
u32 hash = (u64(keys[i]) * r) >> sh;
while (f[hash]) hash = (hash + 1) & (cap - 1);
k[hash] = keys[i];
v[hash] = vals[i];
f[hash] = 1;
}
}
keys.swap(k);
vals.swap(v);
flag.swap(f);
--shift;
}
explicit HashMap()
: cap(8),
s(0),
keys(cap),
vals(cap),
flag(cap),
r(rng()),
shift(64 - __lg(cap)),
DefaultValue(Val()) {}
Val& operator[](const Key& i) {
u32 hash = (u64(i) * r) >> shift;
while (true) {
if (!flag[hash]) {
if (s + s / 4 >= cap) {
reallocate();
return (*this)[i];
}
keys[hash] = i;
flag[hash] = 1;
++s;
return vals[hash] = DefaultValue;
}
if (keys[hash] == i) return vals[hash];
hash = (hash + 1) & (cap - 1);
}
}
// exist -> return pointer of Val
// not exist -> return nullptr
const Val* find(const Key& i) const {
u32 hash = (u64(i) * r) >> shift;
while (true) {
if (!flag[hash]) return nullptr;
if (keys[hash] == i) return &(vals[hash]);
hash = (hash + 1) & (cap - 1);
}
}
// return vector< pair<const Key&, val& > >
vector<pair<Key, Val>> enumerate() const {
vector<pair<Key, Val>> ret;
for (u32 i = 0; i < cap; ++i)
if (flag[i]) ret.emplace_back(keys[i], vals[i]);
return ret;
}
int size() const { return s; }
// set default_value
void set_default(const Val& val) { DefaultValue = val; }
};
/**
* @brief Hash Map(可変長版)
* @docs docs/data-structure/hash-map.md
*/
namespace inner {
using i32 = int32_t;
using u32 = uint32_t;
using i64 = int64_t;
using u64 = uint64_t;
template <typename T>
T gcd(T a, T b) {
while (b) swap(a %= b, b);
return a;
}
template <typename T>
T inv(T a, T p) {
T b = p, x = 1, y = 0;
while (a) {
T q = b / a;
swap(a, b %= a);
swap(x, y -= q * x);
}
assert(b == 1);
return y < 0 ? y + p : y;
}
template <typename T, typename U>
T modpow(T a, U n, T p) {
T ret = 1 % p;
for (; n; n >>= 1, a = U(a) * a % p)
if (n & 1) ret = U(ret) * a % p;
return ret;
}
} // namespace inner
int64_t mod_log(int64_t a, int64_t b, int64_t p) {
using namespace inner;
if ((a %= p) < 0) a += p;
if ((b %= p) < 0) b += p;
int64_t f, g, r = 1 % p;
for (f = 0; (g = gcd(a, p)) > 1; ++f) {
if (b % g) return (r == b) ? f : -1;
b /= g;
p /= g;
(r *= (a / g)) %= p;
}
if (p == 1) return f;
int64_t ir = inv(r, p);
(b *= ir) %= p;
int64_t k = 0, ak = 1;
HashMap<int64_t, int64_t> baby;
for (; k * k < p; ++k) {
if(k != 0 and ak == 1) return f + k;
if(!baby.find(ak)) baby[ak] = k;
(ak *= a) %= p;
}
int64_t iak = inv(ak, p);
for (int64_t i = 0; i < k; ++i) {
if (i != 0 and baby.find(b)) return f + i * k + baby[b];
(b *= iak) %= p;
}
return -1;
}
void q(int n) {
while (n % 2 == 0) n /= 2;
while (n % 5 == 0) n /= 5;
if (n == 1) die(1);
out(mod_log(10, 1, n));
}
void Nyaan::solve() {
ini(T);
rep(i, T) {
ini(x);
q(x);
}
trc(mod_log(3, 9, 100));
}