結果
| 問題 |
No.2432 Flip and Move
|
| コンテスト | |
| ユーザー |
👑 |
| 提出日時 | 2023-08-31 20:09:28 |
| 言語 | C++17(gcc12) (gcc 12.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 238 ms / 2,000 ms |
| コード長 | 19,903 bytes |
| コンパイル時間 | 11,507 ms |
| コンパイル使用メモリ | 292,208 KB |
| 最終ジャッジ日時 | 2025-02-16 15:49:44 |
|
ジャッジサーバーID (参考情報) |
judge5 / judge1 |
| 純コード判定しない問題か言語 |
(要ログイン)
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 36 |
ソースコード
#ifdef DEBUG
#define _GLIBCXX_DEBUG
#define UNTIE ios_base::sync_with_stdio( false ); cin.tie( nullptr ); signal( SIGABRT , &AlertAbort )
#define DEXPR( LL , BOUND , VALUE , DEBUG_VALUE ) CEXPR( LL , BOUND , DEBUG_VALUE )
#define CERR( MESSAGE ) cerr << MESSAGE << endl;
#define COUT( ANSWER ) cout << "出力: " << ANSWER << endl
#define ASSERT( A , MIN , MAX ) CERR( "ASSERTチェック: " << ( MIN ) << ( ( MIN ) <= A ? "<=" : ">" ) << A << ( A <= ( MAX ) ? "<=" : ">" ) << ( MAX ) ); assert( ( MIN ) <= A && A <= ( MAX ) )
#define LIBRARY_SEARCH bool searched_library = false; LibrarySearch( searched_library ); if( searched_library ){ QUIT; };
#define START_WATCH( PROCESS_NAME ) StartWatch( PROCESS_NAME )
#define STOP_WATCH( HOW_MANY_TIMES ) StopWatch( HOW_MANY_TIMES )
#else
#pragma GCC optimize ( "O3" )
#pragma GCC optimize( "unroll-loops" )
#pragma GCC target ( "sse4.2,fma,avx2,popcnt,lzcnt,bmi2" )
#define UNTIE ios_base::sync_with_stdio( false ); cin.tie( nullptr )
#define DEXPR( LL , BOUND , VALUE , DEBUG_VALUE ) CEXPR( LL , BOUND , VALUE )
#define CERR( MESSAGE )
#define COUT( ANSWER ) cout << ANSWER << "\n"
#define ASSERT( A , MIN , MAX ) assert( ( MIN ) <= A && A <= ( MAX ) )
#define LIBRARY_SEARCH
#define START_WATCH( PROCESS_NAME )
#define STOP_WATCH( HOW_MANY_TIMES )
#endif
// #define RANDOM_TEST
#include <bits/stdc++.h>
using namespace std;
using uint = unsigned int;
using ll = long long;
using ull = unsigned long long;
#define ATT __attribute__( ( target( "sse4.2,fma,avx2,popcnt,lzcnt,bmi2" ) ) )
#define TYPE_OF( VAR ) decay_t<decltype( VAR )>
#define CEXPR( LL , BOUND , VALUE ) constexpr LL BOUND = VALUE
#define CIN( LL , A ) LL A; cin >> A
#define CIN_ASSERT( A , MIN , MAX ) TYPE_OF( MAX ) A; SET_ASSERT( A , MIN , MAX )
#define GETLINE( A ) string A; getline( cin , A )
#define GETLINE_SEPARATE( A , SEPARATOR ) string A; getline( cin , A , SEPARATOR )
#define FOR( VAR , INITIAL , FINAL_PLUS_ONE ) for( TYPE_OF( FINAL_PLUS_ONE ) VAR = INITIAL ; VAR < FINAL_PLUS_ONE ; VAR ++ )
#define FOREQ( VAR , INITIAL , FINAL ) for( TYPE_OF( FINAL ) VAR = INITIAL ; VAR <= FINAL ; VAR ++ )
#define FOREQINV( VAR , INITIAL , FINAL ) for( TYPE_OF( INITIAL ) VAR = INITIAL ; VAR >= FINAL ; VAR -- )
#define AUTO_ITR( ARRAY ) auto itr_ ## ARRAY = ARRAY .begin() , end_ ## ARRAY = ARRAY .end()
#define FOR_ITR( ARRAY ) for( AUTO_ITR( ARRAY ) , itr = itr_ ## ARRAY ; itr_ ## ARRAY != end_ ## ARRAY ; itr_ ## ARRAY ++ , itr++ )
#define REPEAT( HOW_MANY_TIMES ) FOR( VARIABLE_FOR_REPEAT_ ## HOW_MANY_TIMES , 0 , HOW_MANY_TIMES )
#define SET_PRECISION( DECIMAL_DIGITS ) cout << fixed << setprecision( DECIMAL_DIGITS )
#define TEST_CASE_NUM( BOUND ) DEXPR( int , bound_T , BOUND , min( BOUND , 100 ) ); int T = 1; if constexpr( bound_T > 1 ){ SET_ASSERT( T , 1 , bound_T ); }
#define START_MAIN REPEAT( T ){ if constexpr( bound_T > 1 ){ CERR( "testcase " << VARIABLE_FOR_REPEAT_T << ":" ); }
#define FINISH_MAIN goto END_MAIN; END_MAIN: CERR( "" ); }
#define QUIT return 0
#ifdef DEBUG
inline void AlertAbort( int n ) { CERR( "abort関数が呼ばれました。assertマクロのメッセージが出力されていない場合はオーバーフローの有無を確認をしてください。" ); }
void StartWatch( const string& process_name = "nothing" );
void StopWatch( const int& how_many_times = 1 );
#endif
#if defined( DEBUG ) && defined( RANDOM_TEST )
ll GetRand( const ll& Rand_min , const ll& Rand_max );
#define SET_ASSERT( A , MIN , MAX ) CERR( #A << " = " << ( A = GetRand( MIN , MAX ) ) )
#define RETURN( ANSWER ) if( ( ANSWER ) == guchoku ){ CERR( ( ANSWER ) << " == " << guchoku ); goto END_MAIN; } else { CERR( ( ANSWER ) << " != " << guchoku ); QUIT; }
#else
#define SET_ASSERT( A , MIN , MAX ) cin >> A; ASSERT( A , MIN , MAX )
#define RETURN( ANSWER ) COUT( ( ANSWER ) ); goto END_MAIN
#endif
template <typename T> inline T Absolute( const T& a ){ return a > 0 ? a : -a; }
template <typename T> inline T Residue( const T& a , const T& p ){ return a >= 0 ? a % p : p - 1 - ( ( - ( a + 1 ) ) % p ); }
#define POWER( ANSWER , ARGUMENT , EXPONENT ) \
static_assert( ! is_same<TYPE_OF( ARGUMENT ),int>::value && ! is_same<TYPE_OF( ARGUMENT ),uint>::value ); \
TYPE_OF( ARGUMENT ) ANSWER{ 1 }; \
{ \
TYPE_OF( ARGUMENT ) ARGUMENT_FOR_SQUARE_FOR_POWER = ( ARGUMENT ); \
TYPE_OF( EXPONENT ) EXPONENT_FOR_SQUARE_FOR_POWER = ( EXPONENT ); \
while( EXPONENT_FOR_SQUARE_FOR_POWER != 0 ){ \
if( EXPONENT_FOR_SQUARE_FOR_POWER % 2 == 1 ){ \
ANSWER *= ARGUMENT_FOR_SQUARE_FOR_POWER; \
} \
ARGUMENT_FOR_SQUARE_FOR_POWER *= ARGUMENT_FOR_SQUARE_FOR_POWER; \
EXPONENT_FOR_SQUARE_FOR_POWER /= 2; \
} \
} \
#define POWER_MOD( ANSWER , ARGUMENT , EXPONENT , MODULO ) \
ll ANSWER{ 1 }; \
{ \
ll ARGUMENT_FOR_SQUARE_FOR_POWER = ( ( MODULO ) + ( ( ARGUMENT ) % ( MODULO ) ) ) % ( MODULO ); \
TYPE_OF( EXPONENT ) EXPONENT_FOR_SQUARE_FOR_POWER = ( EXPONENT ); \
while( EXPONENT_FOR_SQUARE_FOR_POWER != 0 ){ \
if( EXPONENT_FOR_SQUARE_FOR_POWER % 2 == 1 ){ \
ANSWER = ( ANSWER * ARGUMENT_FOR_SQUARE_FOR_POWER ) % ( MODULO ); \
} \
ARGUMENT_FOR_SQUARE_FOR_POWER = ( ARGUMENT_FOR_SQUARE_FOR_POWER * ARGUMENT_FOR_SQUARE_FOR_POWER ) % ( MODULO ); \
EXPONENT_FOR_SQUARE_FOR_POWER /= 2; \
} \
} \
#define FACTORIAL_MOD( ANSWER , ANSWER_INV , INVERSE , MAX_INDEX , CONSTEXPR_LENGTH , MODULO ) \
static ll ANSWER[CONSTEXPR_LENGTH]; \
static ll ANSWER_INV[CONSTEXPR_LENGTH]; \
static ll INVERSE[CONSTEXPR_LENGTH]; \
{ \
ll VARIABLE_FOR_PRODUCT_FOR_FACTORIAL = 1; \
ANSWER[0] = VARIABLE_FOR_PRODUCT_FOR_FACTORIAL; \
FOREQ( i , 1 , MAX_INDEX ){ \
ANSWER[i] = ( VARIABLE_FOR_PRODUCT_FOR_FACTORIAL *= i ) %= ( MODULO ); \
} \
ANSWER_INV[0] = ANSWER_INV[1] = INVERSE[1] = VARIABLE_FOR_PRODUCT_FOR_FACTORIAL = 1; \
FOREQ( i , 2 , MAX_INDEX ){ \
ANSWER_INV[i] = ( VARIABLE_FOR_PRODUCT_FOR_FACTORIAL *= INVERSE[i] = ( MODULO ) - ( ( ( ( MODULO ) / i ) * INVERSE[ ( MODULO ) % i ] ) % ( MODULO ) ) ) %= ( MODULO ); \
} \
} \
// 二分探索テンプレート
// EXPRESSIONがANSWERの広義単調関数の時、EXPRESSION >= TARGETの整数解を格納。
#define BS( ANSWER , MINIMUM , MAXIMUM , EXPRESSION , DESIRED_INEQUALITY , TARGET , INEQUALITY_FOR_CHECK , UPDATE_U , UPDATE_L , UPDATE_ANSWER ) \
static_assert( ! is_same<TYPE_OF( TARGET ),uint>::value && ! is_same<TYPE_OF( TARGET ),ull>::value ); \
ll ANSWER = MINIMUM; \
if( MINIMUM <= MAXIMUM ){ \
ll VARIABLE_FOR_BINARY_SEARCH_L = MINIMUM; \
ll VARIABLE_FOR_BINARY_SEARCH_U = MAXIMUM; \
ANSWER = ( VARIABLE_FOR_BINARY_SEARCH_L + VARIABLE_FOR_BINARY_SEARCH_U ) / 2; \
ll VARIABLE_FOR_DIFFERENCE_FOR_BINARY_SEARCH; \
while( VARIABLE_FOR_BINARY_SEARCH_L != VARIABLE_FOR_BINARY_SEARCH_U ){ \
VARIABLE_FOR_DIFFERENCE_FOR_BINARY_SEARCH = ( EXPRESSION ) - ( TARGET ); \
CERR( "二分探索中: " << VARIABLE_FOR_BINARY_SEARCH_L << "<=" << ANSWER << "<=" << VARIABLE_FOR_BINARY_SEARCH_U << ":" << EXPRESSION << "-" << TARGET << "=" << VARIABLE_FOR_DIFFERENCE_FOR_BINARY_SEARCH ); \
if( VARIABLE_FOR_DIFFERENCE_FOR_BINARY_SEARCH INEQUALITY_FOR_CHECK 0 ){ \
VARIABLE_FOR_BINARY_SEARCH_U = UPDATE_U; \
} else { \
VARIABLE_FOR_BINARY_SEARCH_L = UPDATE_L; \
} \
ANSWER = UPDATE_ANSWER; \
} \
CERR( "二分探索終了: " << VARIABLE_FOR_BINARY_SEARCH_L << "<=" << ANSWER << "<=" << VARIABLE_FOR_BINARY_SEARCH_U << ":" << EXPRESSION << ( EXPRESSION > TARGET ? ">" : EXPRESSION < TARGET ? "<" : "=" ) << TARGET ); \
CERR( ( EXPRESSION DESIRED_INEQUALITY TARGET ? "二分探索成功" : "二分探索失敗" ) ); \
assert( EXPRESSION DESIRED_INEQUALITY TARGET ); \
} else { \
CERR( "二分探索失敗: " << MINIMUM << ">" << MAXIMUM ); \
assert( MINIMUM <= MAXIMUM ); \
} \
// 単調増加の時にEXPRESSION >= TARGETの最小解を格納。
#define BS1( ANSWER , MINIMUM , MAXIMUM , EXPRESSION , TARGET ) \
BS( ANSWER , MINIMUM , MAXIMUM , EXPRESSION , >= , TARGET , >= , ANSWER , ANSWER + 1 , ( VARIABLE_FOR_BINARY_SEARCH_L + VARIABLE_FOR_BINARY_SEARCH_U ) / 2 ) \
// 単調増加の時にEXPRESSION <= TARGETの最大解を格納。
#define BS2( ANSWER , MINIMUM , MAXIMUM , EXPRESSION , TARGET ) \
BS( ANSWER , MINIMUM , MAXIMUM , EXPRESSION , <= , TARGET , > , ANSWER - 1 , ANSWER , ( VARIABLE_FOR_BINARY_SEARCH_L + 1 + VARIABLE_FOR_BINARY_SEARCH_U ) / 2 ) \
// 単調減少の時にEXPRESSION >= TARGETの最大解を格納。
#define BS3( ANSWER , MINIMUM , MAXIMUM , EXPRESSION , TARGET ) \
BS( ANSWER , MINIMUM , MAXIMUM , EXPRESSION , >= , TARGET , < , ANSWER - 1 , ANSWER , ( VARIABLE_FOR_BINARY_SEARCH_L + 1 + VARIABLE_FOR_BINARY_SEARCH_U ) / 2 ) \
// 単調減少の時にEXPRESSION <= TARGETの最小解を格納。
#define BS4( ANSWER , MINIMUM , MAXIMUM , EXPRESSION , TARGET ) \
BS( ANSWER , MINIMUM , MAXIMUM , EXPRESSION , <= , TARGET , <= , ANSWER , ANSWER + 1 , ( VARIABLE_FOR_BINARY_SEARCH_L + VARIABLE_FOR_BINARY_SEARCH_U ) / 2 ) \
// t以下の値が存在すればその最大値のiterator、存在しなければend()を返す。
template <typename T> inline typename set<T>::iterator MaximumLeq( set<T>& S , const T& t ) { const auto end = S.end(); if( S.empty() ){ return end; } auto itr = S.upper_bound( t ); return itr == end ? S.find( *( S.rbegin() ) ) : itr == S.begin() ? end : --itr; }
// t未満の値が存在すればその最大値のiterator、存在しなければend()を返す。
template <typename T> inline typename set<T>::iterator MaximumLt( set<T>& S , const T& t ) { const auto end = S.end(); if( S.empty() ){ return end; } auto itr = S.lower_bound( t ); return itr == end ? S.find( *( S.rbegin() ) ) : itr == S.begin() ? end : --itr; }
// t以上の値が存在すればその最小値のiterator、存在しなければend()を返す。
template <typename T> inline typename set<T>::iterator MinimumGeq( set<T>& S , const T& t ) { return S.lower_bound( t ); }
// tより大きい値が存在すればその最小値のiterator、存在しなければend()を返す。
template <typename T> inline typename set<T>::iterator MinimumGt( set<T>& S , const T& t ) { return S.upper_bound( t ); }
#define SFINAE_FOR_LOOP_DETECTION_BODY( DEFAULT ) enable_if_t<is_convertible_v<U,T> >* DEFAULT
// 写像f:T->Uとcast U->Tの合成のループ検出を行う。
// fとcastの合成の像の要素数がlength_max以下の場合にのみサポート。
// 反復合成O(loop_start+(n-loop_start)%loop_length)
// 像の要素数取得O(1)(ただしループ検出前の時のみO(loop_start+loop_length))
// ループ始点取得O(1)(ただしループ検出前の時のみO(loop_start+loop_length))
// ループ長取得O(1)(ただしループ検出前の時のみO(loop_start+loop_length))
template <typename T , typename U , U f(const T&) , int length_max>
class LoopDetectionBody
{
private:
T m_init;
map<T,int> m_memory;
vector<T> m_memory_inv;
protected:
int m_value[length_max];
int m_length;
int m_loop_start;
int m_loop_length;
public:
template <SFINAE_FOR_LOOP_DETECTION_BODY( = nullptr )> inline LoopDetectionBody( const T& init );
template <typename INT> T IteratedComposition( const INT& n );
// 像の要素数取得
inline const int& GetLength() noexcept;
// ループ始点取得
inline const int& GetLoopStart() noexcept;
// ループ長取得
inline const int& GetLoopLength() noexcept;
private:
inline void SetInit();
void SearchLoop();
virtual T e( const int& i );
virtual int e_inv( const T& t );
virtual void SetValue( const int& i );
};
template <int f(const int&) , int length_max>
class LoopDetection :
public LoopDetectionBody<int,int,f,length_max>
{
private:
int m_value_inv[length_max];
public:
inline LoopDetection( const int& init );
private:
inline int e( const int& i );
inline int e_inv( const int& t );
void SetValue( const int& i );
};
template <typename T , typename U , U f(const T&) , int length_max>
class MemorisationLoopDetection :
public LoopDetectionBody<T,U,f,length_max>
{
public:
inline MemorisationLoopDetection( const T& init );
};
template <typename T , typename U , U f(const T&) , int length_max , T enum_T(const int&) , int enum_T_inv(const T&)>
class EnumerationLoopDetection :
public LoopDetectionBody<T,U,f,length_max>
{
private:
int m_value_inv[length_max];
public:
inline EnumerationLoopDetection( const T& init );
private:
inline T e( const int& i );
inline int e_inv( const T& t );
void SetValue( const int& i );
};
template <typename T , typename U , U f(const T&) , int length_max> template <SFINAE_FOR_LOOP_DETECTION_BODY()> inline LoopDetectionBody<T,U,f,length_max>::LoopDetectionBody( const T& init ) : m_init( init ) , m_memory() , m_memory_inv() , m_value() , m_length() , m_loop_start( -1 ) , m_loop_length( -1 ) {}
template <int f(const int&) , int length_max> inline LoopDetection<f,length_max>::LoopDetection( const int& init ) : LoopDetectionBody<int,int,f,length_max>( init ) , m_value_inv() { for( int i = 0 ; i < length_max ; i++ ){ m_value_inv[i] = -1; } }
template <typename T , typename U , U f(const T&) , int length_max> inline MemorisationLoopDetection<T,U,f,length_max>::MemorisationLoopDetection( const T& init ) : LoopDetectionBody<T,U,f,length_max>( init ) {}
template <typename T , typename U , U f(const T&) , int length_max , T enum_T(const int&) , int enum_T_inv(const T&)> inline EnumerationLoopDetection<T,U,f,length_max,enum_T,enum_T_inv>::EnumerationLoopDetection( const T& init ) : LoopDetectionBody<T,U,f,length_max>( init ) , m_value_inv() { for( int i = 0 ; i < length_max ; i++ ){ m_value_inv[i] = -1; } }
template <typename T , typename U , U f(const T&) , int length_max> template <typename INT>
T LoopDetectionBody<T,U,f,length_max>::IteratedComposition( const INT& n )
{
if( m_length == 0 ){
SetInit();
}
if( n < m_length ){
return e( m_value[n] );
}
if( m_loop_start != -1 ){
return e( m_value[ m_loop_start + ( n - m_loop_start ) % m_loop_length ] );
}
SetValue( e_inv( f( e( m_value[m_length - 1] ) ) ) );
return IteratedComposition( n );
}
template <typename T , typename U , U f(const T&) , int length_max> inline const int& LoopDetectionBody<T,U,f,length_max>::GetLength() noexcept { if( m_loop_length == -1 ){ SearchLoop(); } return m_length; }
template <typename T , typename U , U f(const T&) , int length_max> inline const int& LoopDetectionBody<T,U,f,length_max>::GetLoopStart() noexcept { if( m_loop_start == -1 ){ SearchLoop(); } return m_loop_start; }
template <typename T , typename U , U f(const T&) , int length_max> inline const int& LoopDetectionBody<T,U,f,length_max>::GetLoopLength() noexcept { if( m_loop_length == -1 ){ SearchLoop(); } return m_loop_length; }
template <typename T , typename U , U f(const T&) , int length_max> inline void LoopDetectionBody<T,U,f,length_max>::SetInit() { assert( m_length == 0 ); SetValue( e_inv( m_init ) ); }
template <typename T , typename U , U f(const T&) , int length_max>
void LoopDetectionBody<T,U,f,length_max>::SearchLoop()
{
assert( m_loop_length == -1 );
int n = 0;
while( m_loop_length == -1 ){
IteratedComposition( n++ );
}
return;
}
template <typename T , typename U , U f(const T&) , int length_max>
T LoopDetectionBody<T,U,f,length_max>::e( const int& i )
{
assert( i < m_length );
return m_memory_inv[i];
}
template <int f(const int&) , int length_max> inline int LoopDetection<f,length_max>::e( const int& i ) { return i; }
template <typename T , typename U , U f(const T&) , int length_max , T enum_T(const int&) , int enum_T_inv(const T&)> inline T EnumerationLoopDetection<T,U,f,length_max,enum_T,enum_T_inv>::e( const int& i ) { return enum_T( i ); }
template <typename T , typename U , U f(const T&) , int length_max>
int LoopDetectionBody<T,U,f,length_max>::e_inv( const T& t )
{
if( m_memory.count( t ) == 0 ){
assert( m_length < length_max );
m_value[m_length] = m_length;
m_memory_inv.push_back( t );
return m_memory[t] = m_length++;
}
m_loop_length = m_length - ( m_loop_start = m_memory[t] );
return m_loop_start;
}
template <int f(const int&) , int length_max> inline int LoopDetection<f,length_max>::e_inv( const int& t ) { return t; }
template <typename T , typename U , U f(const T&) , int length_max , T enum_T(const int&) , int enum_T_inv(const T&)> inline int EnumerationLoopDetection<T,U,f,length_max,enum_T,enum_T_inv>::e_inv( const T& t ) { return enum_T_inv( t ); }
template <typename T , typename U , U f(const T&) , int length_max>
void LoopDetectionBody<T,U,f,length_max>::SetValue( const int& i ) {}
template <int f(const int&) , int length_max>
void LoopDetection<f,length_max>::SetValue( const int& i )
{
using base = LoopDetectionBody<int,int,f,length_max>;
int& m_value_inv_i = m_value_inv[i];
if( m_value_inv_i != -1 ){
base::m_loop_length = base::m_length - ( base::m_loop_start = m_value_inv_i );
} else {
base::m_value[base::m_length] = i;
m_value_inv_i = base::m_length++;
}
return;
}
template <typename T , typename U , U f(const T&) , int length_max , T enum_T(const int&) , int enum_T_inv(const T&)>
void EnumerationLoopDetection<T,U,f,length_max,enum_T,enum_T_inv>::SetValue( const int& i )
{
using base = LoopDetectionBody<T,U,f,length_max>;
int& m_value_inv_i = m_value_inv[i];
if( m_value_inv_i != -1 ){
base::m_loop_length = base::m_length - ( base::m_loop_start = m_value_inv_i );
} else {
base::m_value[base::m_length] = i;
m_value_inv_i = base::m_length++;
}
return;
}
DEXPR( int , bound_HW , 1000000 , 100 ); // 0が6個
int H , W , H_minus , W_minus , HW;
inline pair<int,int> EnumHW( const int& v ) { return { v / W , v % W }; }
inline int EnumHW_inv( const int& h , const int& w ) { return h * W + w; }
using type = tuple<int,int,bool,bool>;
type f( const type& t ) { auto [i,j,D,R] = t; if( D ){ if( i + 1 < H ){ i++; } else { D = !D; } } else { if( i > 0 ){ i--; } else { D = !D; } } if( R ){ if( j + 1 < W ){ j++; } else { R = !R; } } else { if( j > 0 ){ j--; } else { R = !R; } } return { i , j ,D , R }; }
type enum_type( const int& t ){ auto [i,j] = EnumHW( t / 4 ); return { i , j , t % 4 / 2 , t % 2 }; }
int enum_type_inv( const type& t ){ auto&& [i,j,D,R] = t; return EnumHW_inv( i , j ) * 4 + D * 2 + R; }
int main()
{
UNTIE;
// LIBRARY_SEARCH;
TEST_CASE_NUM( 1 );
START_MAIN;
cin >> H >> W;
H_minus = H - 1;
W_minus = W - 1;
HW = H * W;
assert( HW <= bound_HW );
CIN( ll , K );
EnumerationLoopDetection<type,type,f,bound_HW*4,enum_type,enum_type_inv> ld{ { 0 , 0 , true , true } };
const int& loop_start = ld.GetLoopStart();
const int& loop_length = ld.GetLoopLength();
bool b[H][W] = {};
type t = { 0 , 0 , true , true };
if( K < loop_start ){
REPEAT( K ){
auto& [i,j,D,R] = t;
b[i][j] = !b[i][j];
t = f( t );
}
} else {
REPEAT( loop_start ){
auto& [i,j,D,R] = t;
b[i][j] = !b[i][j];
t = f( t );
}
K -= loop_start;
if( ( K / loop_length ) % 2 == 1 ){
REPEAT( loop_length ){
auto& [i,j,D,R] = t;
b[i][j] = !b[i][j];
t = f( t );
}
}
K %= loop_length;
REPEAT( K ){
auto& [i,j,D,R] = t;
b[i][j] = !b[i][j];
t = f( t );
}
}
FOR( i , 0 , H ){
FOR( j , 0 , W ){
cout << ( b[i][j] ? "#" : "." );
}
cout << "\n";
}
FINISH_MAIN;
QUIT;
}