/**
* 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";
}
}
| # |
결과 |
실행 시간 |
메모리 |
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 |
| # |
결과 |
실행 시간 |
메모리 |
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 |
| # |
결과 |
실행 시간 |
메모리 |
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 |
