我遵循了Adnan Aziz等人的《编程面试C ++的元素》中的解决方案。他们拥有确定数独板是否有效的解决方案。
#include <iostream>
#include <vector>
#include <utility>
#include <cmath>
#include <deque>
using namespace std;
bool HasDuplicate(vector<vector<char>>& partial_assignment, int start_row, int end_row, int start_col, int end_col);
bool sudokuSolve(vector<vector<char>>& Board)
{
// your code goes here
// Check the row constraint
// Check row constraint
for (int i = 0; i < Board.size(); ++i)
{
if (HasDuplicate(Board, i, i + 1, 0, Board.size()))
return false;
}
// Check column constraint
for (int j = 0; j < Board.size(); ++j)
{
if (HasDuplicate(Board, 0, Board.size(), j, j + 1))
return false;
}
// Check regional constraints
int region_size = (int)sqrt(Board.size());
for (int i = 0; i < region_size; ++i)
{
for (int j = 0; j < region_size; ++j)
{
if (HasDuplicate(Board, region_size * i, region_size * (i + 1), region_size * j, region_size * (j + 1)))
return false;
}
}
return true;
}
bool HasDuplicate(const vector<vector<int>>& partial_assignment, int start_row,
int end_row, int start_col, int end_col)
{
// this creates a container for bookkeeping of used numbers
// size+1 because the number 1-x are used.
deque<bool> is_present(size(partial_assignment) + 1, false);
// The variables i and j are used to go through every coordinate on the
// sudoku game board.
for (int i = start_row; i < end_row; ++i)
{
for (int j = start_col; j < end_col; ++j)
{
// here it checks if the current number is already marked as used in "is_present"
// if it is, then it's a duplicate and the function returns true.
// The value 0 is used at coordinates where no number has been
// selected.
if (partial_assignment[i][j] != 0 && is_present[partial_assignment[i][j]])
return true;
// otherwise, mark the number as used
is_present[partial_assignment[i][j]] = true;
}
}
return false;
}
int main() {
std::vector<std::vector<char>> board = {
{'5','3','.','.','7','.','.','.','.'},
{'6','.','.','1','9','5','.','.','.'},
{'.','9','8','.','.','.','.','6','.'},
{'8','.','.','.','6','.','.','.','3'},
{'4','.','.','8','.','3','.','.','1'},
{'7','.','.','.','2','.','.','.','6'},
{'.','6','.','.','.','.','2','8','.'},
{'.','.','.','4','1','9','.','.','5'},
{'.','.','.','.','8','.','.','7','9'}
};
std::cout << sudokuSolve(board) << "\n";
return 0;
}
不幸的是，作者提供的代码似乎有一些错误。当我收到这些无法修复的错误时：
1>------ Build started: Project: Test, Configuration: Debug Win32 ------
1>Source.obj : error LNK2019: unresolved external symbol "bool __cdecl HasDuplicate(class std::vector<class std::vector<char,class std::allocator<char> >,class std::allocator<class std::vector<char,class std::allocator<char> > > > &,int,int,int,int)" (?HasDuplicate@@YA_NAAV?$vector@V?$vector@DV?$allocator@D@std@@@std@@V?$allocator@V?$vector@DV?$allocator@D@std@@@std@@@2@@std@@HHHH@Z) referenced in function "bool __cdecl sudokuSolve(class std::vector<class std::vector<char,class std::allocator<char> >,class std::allocator<class std::vector<char,class std::allocator<char> > > > &)" (?sudokuSolve@@YA_NAAV?$vector@V?$vector@DV?$allocator@D@std@@@std@@V?$allocator@V?$vector@DV?$allocator@D@std@@@std@@@2@@std@@@Z)
1> Hint on symbols that are defined and could potentially match:
1> "bool __cdecl HasDuplicate(class std::vector<class std::vector<int,class std::allocator<int> >,class std::allocator<class std::vector<int,class std::allocator<int> > > > const &,int,int,int,int)" (?HasDuplicate@@YA_NABV?$vector@V?$vector@HV?$allocator@H@std@@@std@@V?$allocator@V?$vector@HV?$allocator@H@std@@@std@@@2@@std@@HHHH@Z)
1>C:\Dev\Test\Debug\Test.exe : fatal error LNK1120: 1 unresolved externals
1>Done building project "Test.vcxproj" -- FAILED.
========== Build: 0 succeeded, 1 failed, 0 up-to-date, 0 skipped ==========
任何人都可以发现错误吗？
正确的代码是。＃包括＃包括＃包括＃包括#include
using namespace std;
bool HasDuplicate(vector<vector<char>>& partial_assignment, int start_row,
int end_row, int start_col, int end_col)
{
// this creates a container for bookkeeping of used numbers
// size+1 because the number 1-x are used.
deque<bool> is_present(partial_assignment.size() + 1, false);
// The variables i and j are used to go through every coordinate on the
// sudoku game board.
for (int i = start_row; i < end_row; ++i)
{
for (int j = start_col; j < end_col; ++j)
{
// here it checks if the current number is already marked as used in "is_present"
// if it is, then it's a duplicate and the function returns true.
// The value 0 is used at coordinates where no number has been
// selected.
if (partial_assignment[i][j] != 0 && is_present[partial_assignment[i][j]])
return true;
// otherwise, mark the number as used
is_present[partial_assignment[i][j]] = true;
}
}
return false;
}
bool sudokuSolve(vector<vector<char>>& Board)
{
// your code goes here
// Check the row constraint
// Check row constraint
for (int i = 0; i < Board.size(); ++i)
{
if (HasDuplicate(Board, i, i + 1, 0, Board.size()))
return false;
}
// Check column constraint
for (int j = 0; j < Board.size(); ++j)
{
if (HasDuplicate(Board, 0, Board.size(), j, j + 1))
return false;
}
// Check regional constraints
int region_size = (int)sqrt(Board.size());
for (int i = 0; i < region_size; ++i)
{
for (int j = 0; j < region_size; ++j)
{
if (HasDuplicate(Board, region_size * i, region_size * (i + 1), region_size * j, region_size * (j + 1)))
return false;
}
}
return true;
}
int main() {
std::vector<std::vector<char>> board = {
{'5','3','.','.','7','.','.','.','.'},
{'6','.','.','1','9','5','.','.','.'},
{'.','9','8','.','.','.','.','6','.'},
{'8','.','.','.','6','.','.','.','3'},
{'4','.','.','8','.','3','.','.','1'},
{'7','.','.','.','2','.','.','.','6'},
{'.','6','.','.','.','.','2','8','.'},
{'.','.','.','4','1','9','.','.','5'},
{'.','.','.','.','8','.','.','7','9'}
};
std::cout << sudokuSolve(board) << "\n";
return 0;
}
更正：1.更改了HasDuplicate签名，如果要在一个文件中写入文件，则无需提前声明它。