Submission #501971

# Submission time Handle Problem Language Result Execution time Memory
501971 2022-01-05T01:52:14 Z Nyaan Sateliti (COCI20_satellti) C++17
110 / 110
2422 ms 88068 KB
/**
 *  date : 2022-01-05 10:51:45
 */

#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 <cstdarg>
#include <cstddef>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <deque>
#include <fstream>
#include <functional>
#include <initializer_list>
#include <iomanip>
#include <ios>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <streambuf>
#include <string>
#include <tuple>
#include <type_traits>
#include <typeinfo>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#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; }

  P operator*(int r) const { return {first * r, second * r}; }

  P operator-() const { return P{-first, -second}; }
};

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, 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>
inline T Max(const vector<T> &v) {
  return *max_element(begin(v), end(v));
}
template <typename T>
inline T Min(const vector<T> &v) {
  return *min_element(begin(v), end(v));
}
template <typename T>
inline long long Sum(const vector<T> &v) {
  return accumulate(begin(v), end(v), 0LL);
}

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<int> mkinv(vector<T> &v) {
  int max_val = *max_element(begin(v), end(v));
  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);
}
inline int lsb(const u64 &a) { return a ? __builtin_ctzll(a) : 64; }
inline int ctz(const u64 &a) { return a ? __builtin_ctzll(a) : 64; }
inline int msb(const u64 &a) { return a ? 63 - __builtin_clzll(a) : -1; }
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) {
  if (gbit(a, i) != b) a ^= T(1) << 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;
}

ostream &operator<<(ostream &os, __int128_t x) {
  if (x == 0) return os << 0;
  if (x < 0) os << '-', x = -x;
  string S;
  while (x) S.push_back('0' + x % 10), x /= 10;
  reverse(begin(S), end(S));
  return os << S;
}
ostream &operator<<(ostream &os, __uint128_t x) {
  if (x == 0) return os << 0;
  string S;
  while (x) S.push_back('0' + x % 10), x /= 10;
  reverse(begin(S), end(S));
  return os << S;
}

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; }

void dump(const bool& t) { cerr << (t ? "true" : "false"); }

void dump(__int128_t t) {
  if (t == 0) cerr << 0;
  if (t < 0) cerr << '-', t = -t;
  string S;
  while (t) S.push_back('0' + t % 10), t /= 10;
  reverse(begin(S), end(S));
  cerr << S;
}

void dump(__uint128_t t) {
  if (t == 0) cerr << 0;
  string S;
  while (t) S.push_back('0' + t % 10), t /= 10;
  reverse(begin(S), end(S));
  cerr << S;
}

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 constexpr (is_signed<T>::value) {
    if (t == -Nyaan::inf) res = "-inf";
  }
  if constexpr (sizeof(T) == 8) {
    if (t == Nyaan::infLL) res = "inf";
    if constexpr (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(...) (void(0))
#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 fi first
#define se second
#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 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(); }

//


namespace inner {
using i64 = long long;
using u64 = unsigned long long;
using u128 = __uint128_t;

template <int BASE_NUM = 2>
struct Hash : array<u64, BASE_NUM> {
  using array<u64, BASE_NUM>::operator[];
  static constexpr int n = BASE_NUM;

  Hash() : array<u64, BASE_NUM>() {}

  static constexpr u64 md = (1ull << 61) - 1;

  constexpr static Hash set(const i64 &a) {
    Hash res;
    fill(begin(res), end(res), cast(a));
    return res;
  }
  Hash &operator+=(const Hash &r) {
    for (int i = 0; i < n; i++)
      if (((*this)[i] += r[i]) >= md) (*this)[i] -= md;
    return *this;
  }
  Hash &operator+=(const i64 &r) {
    u64 s = cast(r);
    for (int i = 0; i < n; i++)
      if (((*this)[i] += s) >= md) (*this)[i] -= md;
    return *this;
  }
  Hash &operator-=(const Hash &r) {
    for (int i = 0; i < n; i++)
      if (((*this)[i] += md - r[i]) >= md) (*this)[i] -= md;
    return *this;
  }
  Hash &operator-=(const i64 &r) {
    u64 s = cast(r);
    for (int i = 0; i < n; i++)
      if (((*this)[i] += md - s) >= md) (*this)[i] -= md;
    return *this;
  }
  Hash &operator*=(const Hash &r) {
    for (int i = 0; i < n; i++) (*this)[i] = modmul((*this)[i], r[i]);
    return *this;
  }
  Hash &operator*=(const i64 &r) {
    u64 s = cast(r);
    for (int i = 0; i < n; i++) (*this)[i] = modmul((*this)[i], s);
    return *this;
  }

  Hash operator+(const Hash &r) { return Hash(*this) += r; }
  Hash operator+(const i64 &r) { return Hash(*this) += r; }
  Hash operator-(const Hash &r) { return Hash(*this) -= r; }
  Hash operator-(const i64 &r) { return Hash(*this) -= r; }
  Hash operator*(const Hash &r) { return Hash(*this) *= r; }
  Hash operator*(const i64 &r) { return Hash(*this) *= r; }
  Hash operator-() const {
    Hash res;
    for (int i = 0; i < n; i++) res[i] = (*this)[i] == 0 ? 0 : md - (*this)[i];
    return res;
  }
  friend Hash pfma(const Hash &a, const Hash &b, const Hash &c) {
    Hash res;
    for (int i = 0; i < n; i++) res[i] = modfma(a[i], b[i], c[i]);
    return res;
  }
  friend Hash pfma(const Hash &a, const Hash &b, const i64 &c) {
    Hash res;
    u64 s = cast(c);
    for (int i = 0; i < n; i++) res[i] = modfma(a[i], b[i], s);
    return res;
  }

  static Hash get_basis() {
    static auto rand_time =
        chrono::duration_cast<chrono::nanoseconds>(
            chrono::high_resolution_clock::now().time_since_epoch())
            .count();
    static mt19937_64 rng(rand_time);
    Hash h;
    for (int i = 0; i < n; i++) {
      while (isPrimitive(h[i] = rng() % (md - 1) + 1) == false)
        ;
    }
    return h;
  }

 private:
  static u64 modpow(u64 a, u64 b) {
    u64 r = 1;
    for (a %= md; b; a = modmul(a, a), b >>= 1) r = modmul(r, a);
    return r;
  }
  static bool isPrimitive(u64 x) {
    for (auto &d : vector<u64>{2, 3, 5, 7, 11, 13, 31, 41, 61, 151, 331, 1321})
      if (modpow(x, (md - 1) / d) <= 1) return false;
    return true;
  }
  static inline constexpr u64 cast(const long long &a) {
    return a < 0 ? a + md : a;
  }
  static inline constexpr u64 modmul(const u64 &a, const u64 &b) {
    u128 ret = u128(a) * b;
    ret = (ret & md) + (ret >> 61);
    return ret >= md ? ret - md : ret;
  }
  static inline constexpr u64 modfma(const u64 &a, const u64 &b, const u64 &c) {
    u128 ret = u128(a) * b + c;
    ret = (ret & md) + (ret >> 61);
    return ret >= md ? ret - md : ret;
  }
};

}  // namespace inner

/**
 * @brief ハッシュ構造体
 * @docs docs/inner/inner-hash.md
 */

template <typename Str, int BASE_NUM = 2>
struct RollingHash2D {
  using Hash = inner::Hash<BASE_NUM>;
  using u64 = unsigned long long;
  vector<Str> data;
  vector<vector<Hash>> hs;
  vector<Hash> pw[2];
  int h, w;
  static Hash basis[2];

  RollingHash2D(const vector<Str> &S = vector<Str>()) { build(S); }

  void build(const vector<Str> &S) {
    data = S;
    h = S.size();
    w = S[0].size();
    pw[0].resize(h + 1);
    pw[1].resize(w + 1);
    pw[0][0] = pw[1][0] = Hash::set(1);
    for (int i = 1; i <= h; i++) pw[0][i] = pw[0][i - 1] * basis[0];
    for (int i = 1; i <= w; i++) pw[1][i] = pw[1][i - 1] * basis[1];
    hs.resize(h + 1, vector<Hash>(w + 1));
    hs[0][0] = Hash::set(0);
    for (int i = 1; i <= h; i++) {
      hs[i][0] = Hash::set(0);
      for (int j = 1; j <= w; j++)
        hs[i][j] = pfma(hs[i][j - 1], basis[1], S[i - 1][j - 1]);
    }
    for (int j = 1; j <= w; j++) {
      hs[0][j] = Hash::set(0);
      for (int i = 1; i <= h; i++)
        hs[i][j] = pfma(hs[i - 1][j], basis[0], hs[i][j]);
    }
  }

  Hash get(int u, int l, int d, int r) {
    return hs[d][r] - hs[u][r] * pw[0][d - u] - hs[d][l] * pw[1][r - l] +
           hs[u][l] * pw[0][d - u] * pw[1][r - l];
  }

  static Hash get_hash(const vector<Str> &T) {
    Hash ret = Hash::set(0);
    for (int i = 0; i < (int)T.size(); i++) {
      Hash h = Hash::set(0);
      for (int j = 0; j < (int)T[0].size(); j++)
        h = pfma(h, basis[1], T[i][j]);
      ret = pfma(ret, basis[0], h);
    }
    return ret;
  }
};

template <typename Str, int BASE_NUM>
typename RollingHash2D<Str, BASE_NUM>::Hash
    RollingHash2D<Str, BASE_NUM>::basis[2] = {
        inner::Hash<BASE_NUM>::get_basis(), inner::Hash<BASE_NUM>::get_basis()};
using roriha2d = RollingHash2D<string, 1>;

/**
 * @brief 二次元Rolling Hash
 * @docs docs/string/rolling-hash-2d.md
 */

using namespace Nyaan;

void Nyaan::solve() {
  inl(N, M);
  V<string> S(N);
  in(S);
  each(s, S) s += s;
  rep(i, N) S.push_back(S[i]);

  RollingHash2D rori(S);

  trc(S);

  vp kouho;
  rep(i, N) rep(j, M) kouho.emplace_back(i, j);

  pl ans{0, 0};

  rep(i, N) rep(j, M) { trc(i, j, rori.get(i, j, i + 1, j + 1)); }

  each(p, kouho) {
    auto [ai, aj] = ans;
    auto [pi, pj] = p;

    // LCA
    int h;
    {
      int ok = 0, ng = N + 1;
      while (ok + 1 < ng) {
        int me = (ok + ng) / 2;
        auto ha = rori.get(ai, aj, ai + me, aj + M);
        auto hb = rori.get(pi, pj, pi + me, pj + M);
        (ha == hb ? ok : ng) = me;
      }
      h = ok;
    }

    if (h == N) continue;
    int w;
    {
      int ok = 0, ng = M + 1;
      while (ok + 1 < ng) {
        int me = (ok + ng) / 2;
        auto ha = rori.get(ai, aj, ai + h + 1, aj + me);
        auto hb = rori.get(pi, pj, pi + h + 1, pj + me);
        (ha == hb ? ok : ng) = me;
      }
      w = ok;
    }
    assert(w != M);
    if (S[ai + h][aj + w] == '.') ans = p;
  }

  auto [ai, aj] = ans;
  rep(i, N) {
    rep(j, M) { cout << S[i + ai][j + aj]; }
    cout << "\n";
  }
}
# Verdict Execution time Memory Grader output
1 Correct 4 ms 588 KB Output is correct
2 Correct 3 ms 588 KB Output is correct
3 Correct 3 ms 588 KB Output is correct
4 Correct 2 ms 588 KB Output is correct
5 Correct 4 ms 588 KB Output is correct
6 Correct 3 ms 588 KB Output is correct
7 Correct 2 ms 588 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 588 KB Output is correct
2 Correct 3 ms 588 KB Output is correct
3 Correct 3 ms 588 KB Output is correct
4 Correct 2 ms 588 KB Output is correct
5 Correct 4 ms 588 KB Output is correct
6 Correct 3 ms 588 KB Output is correct
7 Correct 2 ms 588 KB Output is correct
8 Correct 160 ms 8684 KB Output is correct
9 Correct 4 ms 588 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 148 ms 8752 KB Output is correct
12 Correct 159 ms 8744 KB Output is correct
13 Correct 143 ms 8908 KB Output is correct
14 Correct 168 ms 8908 KB Output is correct
15 Correct 179 ms 8908 KB Output is correct
16 Correct 161 ms 8908 KB Output is correct
17 Correct 163 ms 8908 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 588 KB Output is correct
2 Correct 3 ms 588 KB Output is correct
3 Correct 3 ms 588 KB Output is correct
4 Correct 2 ms 588 KB Output is correct
5 Correct 4 ms 588 KB Output is correct
6 Correct 3 ms 588 KB Output is correct
7 Correct 2 ms 588 KB Output is correct
8 Correct 160 ms 8684 KB Output is correct
9 Correct 4 ms 588 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 148 ms 8752 KB Output is correct
12 Correct 159 ms 8744 KB Output is correct
13 Correct 143 ms 8908 KB Output is correct
14 Correct 168 ms 8908 KB Output is correct
15 Correct 179 ms 8908 KB Output is correct
16 Correct 161 ms 8908 KB Output is correct
17 Correct 163 ms 8908 KB Output is correct
18 Correct 2111 ms 87708 KB Output is correct
19 Correct 13 ms 1740 KB Output is correct
20 Correct 34 ms 2396 KB Output is correct
21 Correct 2068 ms 88068 KB Output is correct
22 Correct 2280 ms 87968 KB Output is correct
23 Correct 2017 ms 87964 KB Output is correct
24 Correct 2422 ms 87988 KB Output is correct
25 Correct 2001 ms 87964 KB Output is correct
26 Correct 2398 ms 87956 KB Output is correct
27 Correct 2340 ms 87796 KB Output is correct