結果

問題 No.1312 Snake Eyes
ユーザー optopt
提出日時 2020-12-10 17:34:15
言語 C++17
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 57 ms / 2,000 ms
コード長 4,830 bytes
コンパイル時間 2,088 ms
コンパイル使用メモリ 201,736 KB
実行使用メモリ 4,388 KB
最終ジャッジ日時 2023-08-20 11:22:13
合計ジャッジ時間 6,164 ms
ジャッジサーバーID
(参考情報)
judge12 / judge14
このコードへのチャレンジ
(要ログイン)

テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
4,380 KB
testcase_01 AC 1 ms
4,380 KB
testcase_02 AC 2 ms
4,384 KB
testcase_03 AC 1 ms
4,380 KB
testcase_04 AC 2 ms
4,380 KB
testcase_05 AC 2 ms
4,380 KB
testcase_06 AC 1 ms
4,384 KB
testcase_07 AC 2 ms
4,384 KB
testcase_08 AC 1 ms
4,380 KB
testcase_09 AC 2 ms
4,380 KB
testcase_10 AC 1 ms
4,380 KB
testcase_11 AC 2 ms
4,380 KB
testcase_12 AC 2 ms
4,384 KB
testcase_13 AC 2 ms
4,384 KB
testcase_14 AC 1 ms
4,384 KB
testcase_15 AC 1 ms
4,380 KB
testcase_16 AC 2 ms
4,380 KB
testcase_17 AC 1 ms
4,380 KB
testcase_18 AC 1 ms
4,380 KB
testcase_19 AC 2 ms
4,384 KB
testcase_20 AC 2 ms
4,384 KB
testcase_21 AC 2 ms
4,380 KB
testcase_22 AC 2 ms
4,384 KB
testcase_23 AC 1 ms
4,380 KB
testcase_24 AC 1 ms
4,380 KB
testcase_25 AC 2 ms
4,380 KB
testcase_26 AC 1 ms
4,384 KB
testcase_27 AC 2 ms
4,384 KB
testcase_28 AC 1 ms
4,384 KB
testcase_29 AC 1 ms
4,380 KB
testcase_30 AC 2 ms
4,380 KB
testcase_31 AC 2 ms
4,384 KB
testcase_32 AC 1 ms
4,380 KB
testcase_33 AC 1 ms
4,380 KB
testcase_34 AC 2 ms
4,384 KB
testcase_35 AC 1 ms
4,380 KB
testcase_36 AC 2 ms
4,380 KB
testcase_37 AC 2 ms
4,384 KB
testcase_38 AC 2 ms
4,384 KB
testcase_39 AC 3 ms
4,380 KB
testcase_40 AC 3 ms
4,380 KB
testcase_41 AC 3 ms
4,384 KB
testcase_42 AC 2 ms
4,384 KB
testcase_43 AC 3 ms
4,380 KB
testcase_44 AC 2 ms
4,380 KB
testcase_45 AC 2 ms
4,380 KB
testcase_46 AC 3 ms
4,380 KB
testcase_47 AC 2 ms
4,380 KB
testcase_48 AC 51 ms
4,384 KB
testcase_49 AC 46 ms
4,380 KB
testcase_50 AC 36 ms
4,380 KB
testcase_51 AC 19 ms
4,380 KB
testcase_52 AC 56 ms
4,380 KB
testcase_53 AC 42 ms
4,380 KB
testcase_54 AC 49 ms
4,384 KB
testcase_55 AC 24 ms
4,380 KB
testcase_56 AC 32 ms
4,380 KB
testcase_57 AC 32 ms
4,384 KB
testcase_58 AC 43 ms
4,380 KB
testcase_59 AC 17 ms
4,384 KB
testcase_60 AC 31 ms
4,380 KB
testcase_61 AC 55 ms
4,384 KB
testcase_62 AC 23 ms
4,384 KB
testcase_63 AC 2 ms
4,380 KB
testcase_64 AC 3 ms
4,388 KB
testcase_65 AC 7 ms
4,384 KB
testcase_66 AC 2 ms
4,384 KB
testcase_67 AC 2 ms
4,380 KB
testcase_68 AC 4 ms
4,384 KB
testcase_69 AC 2 ms
4,384 KB
testcase_70 AC 45 ms
4,384 KB
testcase_71 AC 27 ms
4,380 KB
testcase_72 AC 4 ms
4,384 KB
testcase_73 AC 2 ms
4,384 KB
testcase_74 AC 2 ms
4,380 KB
testcase_75 AC 1 ms
4,384 KB
testcase_76 AC 56 ms
4,380 KB
testcase_77 AC 56 ms
4,384 KB
testcase_78 AC 56 ms
4,384 KB
testcase_79 AC 43 ms
4,380 KB
testcase_80 AC 55 ms
4,380 KB
testcase_81 AC 56 ms
4,384 KB
testcase_82 AC 57 ms
4,380 KB
testcase_83 AC 57 ms
4,384 KB
testcase_84 AC 57 ms
4,380 KB
testcase_85 AC 52 ms
4,380 KB
testcase_86 AC 49 ms
4,384 KB
testcase_87 AC 28 ms
4,380 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

#include <bits/stdc++.h>
using namespace std;
// #include <atcoder/all>
// using namespace atcoder;
// // input and output of modint
// istream &operator>>(istream &is, modint998244353 &a) { long long v; is >> v; a = v; return is; }
// ostream &operator<<(ostream &os, const modint998244353 &a) { return os << a.val(); }
// istream &operator>>(istream &is, modint1000000007 &a) { long long v; is >> v; a = v; return is; }
// ostream &operator<<(ostream &os, const modint1000000007 &a) { return os << a.val(); }
// template<int m> istream &operator>>(istream &is, static_modint<m> &a) { long long v; is >> v; a = v; return is; }
// template<int m> ostream &operator<<(ostream &os, const static_modint<m> &a) { return os << a.val(); }
// template<int m> istream &operator>>(istream &is, dynamic_modint<m> &a) { long long v; is >> v; a = v; return is; }
// template<int m> ostream &operator<<(ostream &os, const dynamic_modint<m> &a) { return os << a.val(); }
#define rep2(i, m, n) for (int i = (m); i < (n); ++i)
#define rep(i, n) rep2(i, 0, n)
#define drep2(i, m, n) for (int i = (m)-1; i >= (n); --i)
#define drep(i, n) drep2(i, n, 0)
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#ifdef LOCAL
void debug_out() { cerr << endl; }
template <class Head, class... Tail> void debug_out(Head H, Tail... T) { cerr << ' ' << H; debug_out(T...); }
#define debug(...) cerr << 'L' << __LINE__ << " [" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#define dump(x) cerr << 'L' << __LINE__ << " " << #x << " = " << (x) << endl
#else
#define debug(...) (void(0))
#define dump(x) (void(0))
#endif
template<class T> using V = vector<T>;
using ll = long long;
using ld = long double;
using Vi = V<int>;  using VVi = V<Vi>;
using Vl = V<ll>;   using VVl = V<Vl>;
using Vd = V<ld>;   using VVd = V<Vd>;
using Vb = V<bool>; using VVb = V<Vb>;
template<class T> using priority_queue_rev = priority_queue<T, vector<T>, greater<T>>;
template<class T> vector<T> make_vec(size_t n, T a) { return vector<T>(n, a); }
template<class... Ts> auto make_vec(size_t n, Ts... ts) { return vector<decltype(make_vec(ts...))>(n, make_vec(ts...)); }
template<class T> inline int sz(const T &x) { return size(x); }
template<class T> inline bool chmin(T &a, const T b) { if (a > b) { a = b; return true; } return false; }
template<class T> inline bool chmax(T &a, const T b) { if (a < b) { a = b; return true; } return false; }
template<class T1, class T2> istream &operator>>(istream &is, pair<T1, T2> &p) { is >> p.first >> p.second; return is; }
template<class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &p) { os << '(' << p.first << ", " << p.second << ')'; return os; }
template<class T, size_t n> istream &operator>>(istream &is, array<T, n> &v) { for (auto &e : v) is >> e; return is; }
template<class T, size_t n> ostream &operator<<(ostream &os, const  array<T, n> &v) { for (auto &e : v) os << e << ' '; return os; }
template<class T> istream &operator>>(istream &is, vector<T> &v) { for (auto &e : v) is >> e; return is; }
template<class T> ostream &operator<<(ostream &os, const vector<T> &v) { for (auto &e : v) os << e << ' '; return os; }
template<class T> inline void deduplicate(vector<T> &a) { sort(all(a)); a.erase(unique(all(a)), a.end()); }
template<class T> inline int count_between(const vector<T> &a, T l, T r) { return lower_bound(all(a), r) - lower_bound(all(a), l); } // [l, r)
inline ll cDiv(const ll x, const ll y) { return (x+y-1) / y; } // ceil(x/y)
inline int fLog2(const ll x) { assert(x > 0); return 63-__builtin_clzll(x); } // floor(log2(x))
inline int cLog2(const ll x) { assert(x > 0); return (x == 1) ? 0 : 64-__builtin_clzll(x-1); } // ceil(log2(x))
inline int popcount(const ll x) { return __builtin_popcountll(x); }
inline void fail() { cout << 2 << '\n'; exit(0); }
struct fast_ios { fast_ios(){ cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_;
// const int INF  = (1<<30) - 1;
// const ll INFll = (1ll<<60) - 1;
// const ld EPS   = 1e-10;
// const ld PI    = acos(-1.0);
// using mint = modint998244353;
// using mint = modint1000000007;
// using mint = modint;
// using Vm = V<mint>; using VVm = V<Vm>;


template<typename T>
vector<T> divisor(T n) {
  vector<T> res;
  for (T i = 1; i*i <= n; ++i) {
    T d = n/i;
    if (d*i != n) continue;
    res.push_back(i);
    if (i*i != n) res.push_back(d);
  }
  return res;
}


int main() {
  ll n; cin >> n;

  ll ans = n-1;
  for (auto e : divisor(n)) {
    ll p = e - 1;
    if (p < 2) continue;
    if (n/e < p) chmin(ans, p);
  }

  for (ll p = 2; p * p <= n; ++p) {
    debug(p);
    for (ll x = 0, y = 1; x < n; y *= p) {
      x += y;
      if (n % x == 0 && n/x < p) chmin(ans, p);
    }
  }

  if (n == 1) ans = 2;
  if (n == 2) ans = 3;

  cout << ans << '\n';
}
0