// Soduku.cpp : 定义控制台应用程序的入口点。 // #include "stdafx.h" #include #include #include #include #include using namespace std; #define ROW_NUM (9) #define COL_NUM (9) #define NUMBERS (9) const unsigned char originalArray[ROW_NUM][COL_NUM] = { {0,0,0,1,0,0,2,6,0}, {7,0,0,0,3,0,0,0,0}, {3,0,2,0,8,0,4,0,0}, {0,0,0,4,0,8,0,0,1}, {0,3,5,0,0,0,9,4,0}, {2,0,0,3,0,5,0,0,0}, {0,0,6,0,5,0,7,0,9}, {0,0,0,0,4,0,0,0,8}, {0,5,7,0,0,9,0,0,0} }; const unsigned char digits[NUMBERS] = {1,2,3,4,5,6,7,8,9}; struct Grid{ unsigned char row; unsigned char column; unsigned char value; map options; Grid(){ row = 0; column = 0; value = 0; options.clear(); } }; Grid soduku[ROW_NUM][COL_NUM] = {}; struct NineGrid{ pair start; pair end; set values; NineGrid(){ start.first = 0; start.second = 0; end.first = 0; end.second = 0; values.clear(); } }; NineGrid nineGrid[(ROW_NUM/3)*(COL_NUM/3)] = {}; void InitializeSoduku(){ for(unsigned char i = 0; i < ROW_NUM; ++i) { for(unsigned char j = 0; j < COL_NUM; ++j) { soduku[i][j].row = i; soduku[i][j].column = j; soduku[i][j].value = originalArray[i][j]; } } unsigned char index = 0; for(unsigned char i = 0; i < ROW_NUM; i+=3) { for(unsigned char j = 0; j < COL_NUM; (index++,j+=3)) { nineGrid[index].start.first = i; nineGrid[index].start.second = j; nineGrid[index].end.first = i+2; nineGrid[index].end.second = j+2; } } for(unsigned char n = 0; n < ROW_NUM; ++n) { for(unsigned char i = nineGrid[n].start.first; i <= nineGrid[n].end.first; ++i) { for(unsigned char j = nineGrid[n].start.second; j <= nineGrid[n].end.second; ++j) { if(soduku[i][j].value != 0) { nineGrid[n].values.insert(soduku[i][j].value); } } } } } void CollectRow(set& row, unsigned char rowIndex) { for(unsigned char j = 0; j < COL_NUM; ++j) { if(soduku[rowIndex][j].value != 0) { row.insert(soduku[rowIndex][j].value); } } } void CollectColumn(set& col, unsigned char colIndex) { for(unsigned char i = 0; i < ROW_NUM; ++i) { if(soduku[i][colIndex].value != 0) { col.insert(soduku[i][colIndex].value); } } } void CollectNineGrid(set& gridSet,unsigned char row, unsigned char col) { for(unsigned int i = 0; i < ROW_NUM; ++i) { if(nineGrid[i].start.first <= row && row <= nineGrid[i].end.first) { if(nineGrid[i].start.second <= col && col <= nineGrid[i].end.second) { for(unsigned char m = nineGrid[i].start.first; m <= nineGrid[i].end.first; ++m ) { for(unsigned char n = nineGrid[i].start.second; n <= nineGrid[i].end.second; ++n) { if(soduku[m][n].value != 0) { gridSet.insert(soduku[m][n].value); } } } break; } } } } void CollectAll(set& vals,unsigned char row, unsigned char col) { vals.clear(); CollectRow(vals, row); CollectColumn(vals, col); CollectNineGrid(vals, row, col); } void PrintCurrent() { for(unsigned char i = 0; i < ROW_NUM; ++i) { for(unsigned char j = 0; j < COL_NUM; ++j) { if(soduku[i][j].value == 0) { cout<<"("; std::map::iterator iter = soduku[i][j].options.begin(); for(iter; iter != soduku[i][j].options.end(); ++iter) { cout<<(unsigned short)iter->second<<","; } cout<<")"; }else { cout<<(unsigned short)soduku[i][j].value<<" "; } } cout<& values, unsigned char val) { return values.find(val) != values.end(); } void DigitsLoop() { for(unsigned char m = 0; m < NUMBERS; ++m) { unsigned char digit = digits[m]; for(unsigned char n = 0; n < ROW_NUM; ++n) { for(unsigned char i = nineGrid[n].start.first; i <= nineGrid[n].end.first; ++i) { for(unsigned char j = nineGrid[n].start.second; j <= nineGrid[n].end.second; ++j) { if(soduku[i][j].value != 0) { continue; } set values; do { //验证九宫格中的数 values.clear(); CollectNineGrid(values, i, j); if(HasExisted(values, digit)) { break; } //验证横排 values.clear(); CollectRow(values, i); if(HasExisted(values, digit)) { break; } //验证竖排 values.clear(); CollectColumn(values, j); if(HasExisted(values, digit)) { break; } soduku[i][j].options[digit] = digit; }while(0); } } } } } void AddToNineGridSet(unsigned char row, unsigned char col, unsigned char val) { for(unsigned int i = 0; i < ROW_NUM; ++i) { if(nineGrid[i].start.first <= row && row <= nineGrid[i].end.first) { if(nineGrid[i].start.second <= col && col <= nineGrid[i].end.second) { nineGrid[i].values.insert(val); break; } } } } void RemoveAll(unsigned char row, unsigned char col, unsigned char val) { //1.去除行中其他空格可选项中val对应的项目 std::map::iterator iter; for(unsigned char j = 0; j < COL_NUM; ++j) { if(soduku[row][j].options.empty()) { continue; } iter = soduku[row][j].options.find(val); if(iter != soduku[row][j].options.end()) { soduku[row][j].options.erase(iter); } } //2.去除列中其他空格可选项中val对应的项目 for(unsigned int i = 0; i < ROW_NUM; ++i) { if(soduku[i][col].options.empty()) { continue; } iter = soduku[i][col].options.find(val); if(iter != soduku[i][col].options.end()) { soduku[i][col].options.erase(iter); } } //3.去除九宫格中其他空格可选项中val对应的项目 for(unsigned int i = 0; i < ROW_NUM; ++i) { if(nineGrid[i].start.first <= row && row <= nineGrid[i].end.first) { if(nineGrid[i].start.second <= col && col <= nineGrid[i].end.second) { for(unsigned char m = nineGrid[i].start.first; m <= nineGrid[i].end.first; ++m ) { for(unsigned char n = nineGrid[i].start.second; n <= nineGrid[i].end.second; ++n) { if(soduku[m][n].options.empty()) { continue; } iter = soduku[m][n].options.find(val); if(iter != soduku[m][n].options.end()) { soduku[m][n].options.erase(iter); } } } break; } } } } void MakeChoice() { for(unsigned char i = 0; i < ROW_NUM; ++i) { for(unsigned char j = 0; j < COL_NUM; ++j) { if(soduku[i][j].options.size() == 1) { //赋值给对应的空格 soduku[i][j].value = soduku[i][j].options.begin()->first; //加入九宫格中的集合中 AddToNineGridSet(i, j, soduku[i][j].value); //去除横列和九宫格中其他空格可选项中含有该值的项目 RemoveAll(i, j, soduku[i][j].value); } } } } void Exception() { set vals; for(unsigned char i = 0; i < ROW_NUM; ++i) { for(unsigned char j = 0; j < COL_NUM; ++j) { if(soduku[i][j].value != 0) { continue; } CollectAll(vals, i, j); vector result(10); std::set_difference(digits, digits+NUMBERS, vals.begin(), vals.end(), result.begin()); for(unsigned int n = 0; n < result.size(); ++n) { if(result[n] != 0) { soduku[i][j].options[result[n]] = result[n]; } } } } } bool CanEnd() { for(unsigned char i = 0; i < ROW_NUM; ++i) { for(unsigned char j = 0; j < COL_NUM; ++j) { if(soduku[i][j].value == 0) { return false; } } } return true; } int _tmain(int argc, _TCHAR* argv[]) { InitializeSoduku(); do { DigitsLoop(); MakeChoice(); Exception(); MakeChoice(); }while(!CanEnd()); PrintCurrent(); getchar(); return 0; }
