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| // MVS 2015 C++14
#include <iostream>
#include <sstream> // std::ostringstream
#include <string> // std::string
#include <stdexcept> // std::out_of_range
#include <algorithm> // std::max
#include <iomanip> // std::setw
#include <utility> // std::pair
#include <map> // std::map
#include <cstring> // std::strlen
template<typename _Ty>
class Matrix
{
private:
_Ty *mData;
unsigned mRows;
unsigned mCols;
public:
Matrix(unsigned rows, unsigned cols)
{
mRows = rows;
mCols = cols;
mData = new _Ty[rows * cols]{};
}
Matrix(const Matrix &other)
: mData{ new _Ty[other.mRows * other.mCols] },
mRows{ other.mRows }, mCols{other.mCols}
{
for (unsigned i{}; i < (other.mRows * other.mCols); ++i)
{
mData[i] = other.mData[i];
}
}
template<typename _Ty2>
Matrix(const Matrix<_Ty2> &other)
: mData{ new _Ty[other.sizeRows() * other.sizeCols()] },
mRows{ other.sizeRows() }, mCols{ other.sizeCols() }
{
for (unsigned i{}; i < other.sizeRows(); ++i)
{
for (unsigned j{}; j < other.sizeCols(); ++j)
{
this->get(i, j) = other.get(i, j);
}
}
}
Matrix& operator=(const Matrix &rhs)
{
if (this != &rhs)
{
delete[] mData;
mData = new _Ty[rhs.mRows * rhs.mCols];
mRows = rhs.mRows;
mCols = rhs.mCols;
for (unsigned i{}; i < (rhs.mRows * rhs.mCols); ++i)
{
mData[i] = rhs.mData[i];
}
}
return *this;
}
template<typename _Ty2>
Matrix& operator=(const Matrix<_Ty2> &rhs)
{
if (this != &rhs)
{
delete[] mData;
mData = new _Ty[rhs.sizeRows() * rhs.sizeCols()];
mRows = rhs.sizeRows();
mCols = rhs.sizeCols();
for (unsigned i{}; i < rhs.sizeRows(); ++i)
{
for (unsigned j{}; j < rhs.sizeCols(); ++j)
{
this->get(i, j) = rhs.get(i, j);
}
}
}
return *this;
}
unsigned sizeRows(void) const
{
return mRows;
}
unsigned sizeCols(void) const
{
return mCols;
}
_Ty& get(const unsigned &i, const unsigned &j)
{
if ((i > (mRows - 1)) || (j > (mCols - 1)))
{
throw std::out_of_range("index of matrix out of range");
}
return mData[(i * mRows) + j];
}
const _Ty& get(const unsigned &i, const unsigned &j) const
{
if ((i > (mRows - 1)) || (j > (mCols - 1)))
{
throw std::out_of_range("index of matrix out of range");
}
return mData[(i * mRows) + j];
}
~Matrix(void)
{
delete[] mData;
}
};
namespace Dynamic
{
enum class Offset{ NONE, LEFT, UP, DIAGONALY}; // смещение в таблице (для восстановления строки)
inline
std::pair<int, std::string> LCS(const char *_firstStr, const char *_secondStr,
const unsigned &_firstLength, const unsigned &_secondLength, const int &w)
{
Matrix<int> L{ _firstLength + 1, _secondLength + 1 };
Matrix<unsigned> kx{ _firstLength + 1, _secondLength + 1 };
Matrix<unsigned> ky{ _firstLength + 1, _secondLength + 1 };
Matrix<Offset> data{ _firstLength + 1, _secondLength + 1};
for (unsigned i{}; i < (_firstLength + 1); i++)
{
for (unsigned j{}; j < (_secondLength + 1); j++)
{
if (!i || !j)
{
L.get(i, j) = 0;
kx.get(i, j) = 0;
ky.get(i, j) = 0;
data.get(i, j) = Offset::NONE;
}
else if (_firstStr[i - 1] == _secondStr[j - 1])
{
const int Score = L.get(i - 1, j - 1) + 1 + w
* (((kx.get(i - 1, j - 1) == (i - 1)) ? 0 : 1)
- ((ky.get(i - 1, j - 1) == (j - 1)) ? 0 : 1));
const int max = std::max({ Score, L.get(i - 1, j), L.get(i, j - 1) });
if (max == Score)
{
kx.get(i, j) = i;
ky.get(i, j) = j;
L.get(i, j) = Score;
data.get(i, j) = Offset::DIAGONALY;
}
else if (max == L.get(i - 1, j))
{
kx.get(i, j) = kx.get(i - 1, j);
ky.get(i, j) = ky.get(i - 1, j);
L.get(i, j) = L.get(i - 1, j);
data.get(i, j) = Offset::UP;
}
else
{
kx.get(i, j) = kx.get(i, j - 1);
ky.get(i, j) = ky.get(i, j - 1);
L.get(i, j) = L.get(i, j - 1);
data.get(i, j) = Offset::LEFT;
}
}
else
{
if (L.get(i - 1, j) > L.get(i, j - 1))
{
kx.get(i, j) = kx.get(i - 1, j);
ky.get(i, j) = ky.get(i - 1, j);
L.get(i, j) = L.get(i - 1, j);
data.get(i, j) = Offset::UP;
}
else
{
kx.get(i, j) = kx.get(i, j - 1);
ky.get(i, j) = ky.get(i, j - 1);
L.get(i, j) = L.get(i, j - 1);
data.get(i, j) = Offset::LEFT;
}
}
}
}
std::ostringstream osstr{};
unsigned i = _firstLength;
unsigned j = _secondLength;
while (i > 0 && j > 0)
{
if (data.get(i, j) == Offset::DIAGONALY)
{
osstr << _firstStr[i - 1];
i--; j--;
}
else if (data.get(i, j) == Offset::LEFT)
{
j--;
}
else if (data.get(i, j) == Offset::UP)
{
i--;
}
}
std::string strRes{ std::move(osstr.str()) };
std::reverse(strRes.begin(), strRes.end());
/*
///================================== Вывод матриц =======================================
auto print = [=](const Matrix<int> &_matrix, const unsigned &_spaceNum)
{
for (unsigned i{}; i < _matrix.sizeRows(); ++i)
{
for (unsigned j{}; j < _matrix.sizeCols(); ++j)
{
std::cout << std::setw(_spaceNum) << _matrix.get(i, j) << std::setw(0) << ' ';
}
std::cout << std::endl;
}
};
std::cout << std::endl << "------------------[ L ]--------------------" << std::endl;
print(L, 4);
std::cout << "------------------[ kx ]-------------------" << std::endl;
print(kx, 4);
std::cout << "------------------[ ky ]-------------------" << std::endl;
print(ky, 4);
std::cout << "------------------[ Data ]--------------------" << std::endl;
for (unsigned i{}; i < data.sizeRows(); ++i)
{
for (unsigned j{}; j < data.sizeCols(); ++j)
{
switch (data.get(i, j))
{
case Offset::NONE:
std::cout << "0 ";
break;
case Offset::DIAGONALY:
std::cout << "D ";
break;
case Offset::LEFT:
std::cout << "L ";
break;
case Offset::UP:
std::cout << "U ";
break;
}
}
std::cout << std::endl;
}
std::cout << "-------------------------------------------" << std::endl;
///=======================================================================================
//*/
return{ L.get(_firstLength, _secondLength), strRes };
}
}
template<typename _Ty, typename _Ty2, typename _Ty3>
struct Triad
{
// Переменные структуры
_Ty first; // 1-я переменная. score
_Ty2 second; /// 2-я переменная. i
_Ty3 third; /// 3-я переменная. j
// Определения типов
typedef _Ty first_type;
typedef _Ty2 second_type;
typedef _Ty3 third_type;
};
namespace Recursion
{
using triad = Triad<int, int, int>; // Используем 'triad' вместо того, чтобы каждый раз писать аргументы шаблона
inline
triad LCS(const char *_firstStr, const char *_secondStr,
const int &_idx_i, const int &_idx_j, const int &w)
{
if (!_idx_i || !_idx_j)
{
return{ 0, -1 , -1 };
}
triad res[]
{
LCS(_firstStr, _secondStr, _idx_i - 1, _idx_j, w),
LCS(_firstStr, _secondStr, _idx_i, _idx_j - 1, w)
};
if (_firstStr[_idx_i - 1] == _secondStr[_idx_j - 1])
{
const triad subTaskOnScore = LCS(_firstStr, _secondStr, _idx_i - 1, _idx_j - 1, w);
const int Score = subTaskOnScore.first + 1 + w
* (((subTaskOnScore.second == (_idx_i - 1)) ? 0 : 1)
- ((subTaskOnScore.third == (_idx_j - 1)) ? 0 : 1));
const int Max = std::max({ Score, res[0].first, res[1].first });
if (Max == Score)
{
return{ Score, _idx_i, _idx_j };
}
else if (Max == res[0].first)
{
return res[0];
}
else
{
return res[1];
}
}
else
{
return std::max(res[0], res[1],
[=](const triad &lhs, const triad &rhs) -> bool
{
return (lhs.first < rhs.first);
});
}
}
}
namespace Memoization
{
using triad = Triad<int, int, int>;
std::map<std::pair<int, int>, triad> globalMemoryScore;
inline
triad _lcs(const char *_firstStr, const char *_secondStr,
const int &_idx_i, const int &_idx_j, const int &w)
{
const std::pair<int, int> Key{ _idx_i, _idx_j };
if (globalMemoryScore.count(Key))
{
return globalMemoryScore[Key];
}
if (!_idx_i || !_idx_j)
{
return (globalMemoryScore[Key] = { 0, -1 , -1 });
}
triad res[]
{
_lcs(_firstStr, _secondStr, _idx_i - 1, _idx_j, w),
_lcs(_firstStr, _secondStr, _idx_i, _idx_j - 1, w)
};
if (_firstStr[_idx_i - 1] == _secondStr[_idx_j - 1])
{
const triad subTaskOnScore = _lcs(_firstStr, _secondStr, _idx_i - 1, _idx_j - 1, w);
const int Score = subTaskOnScore.first + 1 + w
* (((subTaskOnScore.second == (_idx_i - 1)) ? 0 : 1)
- ((subTaskOnScore.third == (_idx_j - 1)) ? 0 : 1));
const int Max = std::max({ Score, res[0].first, res[1].first });
if (Max == Score)
{
return (globalMemoryScore[Key] = { Score, _idx_i , _idx_j });
}
else if (Max == res[0].first)
{
return (globalMemoryScore[Key] = res[0]);
}
else
{
return (globalMemoryScore[Key] = res[1]);
}
}
else
{
return (globalMemoryScore[Key] = std::max(res[0], res[1],
[=](const triad &lhs, const triad &rhs) -> bool
{
return (lhs.first < rhs.first);
}));
}
}
inline
triad LCS(const char *x, const char *y,
const int &_idx_i, const int &j, const int &w)
{
globalMemoryScore.clear();
return _lcs(x, y, _idx_i, j, w);
}
}
int main()
{
char firstStr[]{ "FABABCCCC" };
char secondStr[]{ "FCBCBCACA" };
std::cout << "Str #1: " << firstStr << std::endl;
std::cout << "Str #2: " << secondStr << std::endl;
const int w = 0;
const unsigned fLen = std::strlen(firstStr);
const unsigned sLen = std::strlen(secondStr);
auto resDynamic = Dynamic::LCS(firstStr, secondStr, fLen, sLen, w);
std::cout << "Dynamic: " << resDynamic.first << "\t" << resDynamic.second << std::endl;
std::cout << "Recurcione: " << Recursion::LCS(firstStr, secondStr, fLen, sLen, w).first << std::endl;
std::cout << "Memoization: " << Memoization::LCS(firstStr, secondStr, fLen, sLen, w).first << std::endl;
} |
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