結果
問題 | No.1339 循環小数 |
ユーザー |
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提出日時 | 2021-01-16 19:30:56 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 49 ms / 2,000 ms |
コード長 | 4,336 bytes |
コンパイル時間 | 2,202 ms |
コンパイル使用メモリ | 204,884 KB |
最終ジャッジ日時 | 2025-01-17 23:48:14 |
ジャッジサーバーID (参考情報) |
judge1 / judge3 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 1 |
other | AC * 36 |
ソースコード
#include <bits/stdc++.h>using namespace std;using ll = long long;using ull = unsigned long long;using i128 = __int128_t;using pii = pair<int, int>;using pll = pair<long long, long long>;template<class T> using vec = vector<T>;template<class T> using vvec = vector<vector<T>>;#define rep(i, n) for (int i = 0; i < (n); i++)#define rrep(i, n) for (int i = int(n) - 1; i >= 0; i--)#define all(x) (x).begin(), (x).end()constexpr char ln = '\n';istream& operator>>(istream& is, __int128_t& x) {x = 0;string s;is >> s;int n = int(s.size()), it = 0;if (s[0] == '-') it++;for (; it < n; it++) x = (x * 10 + s[it] - '0');if (s[0] == '-') x = -x;return is;}ostream& operator<<(ostream& os, __int128_t x) {if (x == 0) return os << 0;if (x < 0) os << '-', x = -x;deque<int> deq;while (x) deq.emplace_front(x % 10), x /= 10;for (int e : deq) os << e;return os;}template<class T1, class T2>ostream& operator<<(ostream& os, const pair<T1, T2>& p) {return os << "(" << p.first << ", " << p.second << ")";}template<class T>ostream& operator<<(ostream& os, const vector<T>& v) {os << "{";for (int i = 0; i < int(v.size()); i++) {if (i) os << ", ";os << v[i];}return os << "}";}template<class Container> inline int SZ(Container& v) { return int(v.size()); }template<class T> inline void UNIQUE(vector<T>& v) { v.erase(unique(v.begin(), v.end()), v.end()); }template<class T1, class T2> inline bool chmax(T1& a, T2 b) { if (a < b) {a = b; return true ;} return false ;}template<class T1, class T2> inline bool chmin(T1& a, T2 b) { if (a > b) {a = b; return true ;} return false ;}inline int topbit(ull x) { return x == 0 ? -1 : 63 - __builtin_clzll(x); }inline int botbit(ull x) { return x == 0 ? 64 : __builtin_ctzll(x); }inline int popcount(ull x) { return __builtin_popcountll(x); }inline int kthbit(ull x, int k) { return (x>>k) & 1; }inline constexpr long long TEN(int x) { return x == 0 ? 1 : TEN(x-1) * 10; }inline void print() { cout << "\n"; }template<class T>inline void print(const vector<T>& v) {for (int i = 0; i < int(v.size()); i++) {if (i) cout << " ";cout << v[i];}print();}template<class T, class... Args>inline void print(const T& x, const Args& ... args) {cout << x << " ";print(args...);}#ifdef MINATO_LOCALinline void debug_out() { cerr << endl; }template <class T, class... Args>inline void debug_out(const T& x, const Args& ... args) {cerr << " " << x;debug_out(args...);}#define debug(...) cerr << __LINE__ << " : [" << #__VA_ARGS__ << "] =", debug_out(__VA_ARGS__)#define dump(x) cerr << __LINE__ << " : " << #x << " = " << (x) << endl#else#define debug(...) (void(0))#define dump(x) (void(0))#endifstruct fast_ios { fast_ios() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_;////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// O(sqrt(N))template<typename Int>Int totient(Int N) {assert(N >= 1);Int ret = N;for (Int i = 2; i*i <= N; i++) {if (N % i == 0) {ret = ret / i * (i-1);while (N % i == 0) N /= i;}}if (N != 1) ret = ret / N * (N-1);return ret;}//O(sqrt(N))template<typename Int>vector<Int> divisor(Int x) {assert(x >= 1);vector<Int> ret;for (Int i = 1; i*i <= x; i++) {if (x % i == 0) {ret.emplace_back(i);ret.emplace_back(x/i);}}sort(ret.begin(),ret.end());ret.erase(unique(begin(ret), end(ret)), end(ret));return ret;}ll pow_mod(ll x, ll a, ll mod) {ll ret = 1;while (a) {if (a&1) ret = ret*x%mod;x = x*x%mod;a >>= 1;}return ret;}void solve() {int N; cin >> N;while (N % 2 == 0) N /= 2;while (N % 5 == 0) N /= 5;if (N==1) {cout << 1 << ln;return;}auto t = totient(N);auto divs = divisor(t);for (auto e : divs) {if (pow_mod(10,e,N)==1) {cout << e << ln;return;}}}int main() {int Q; cin >> Q;while (Q--) {solve();}}