1637 lines
47 KiB
C++
1637 lines
47 KiB
C++
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/*
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* qqwing - Sudoku solver and generator
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* Copyright (C) 2006-2014 Stephen Ostermiller http://ostermiller.org/
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* Copyright (C) 2007 Jacques Bensimon (jacques@ipm.com)
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* Copyright (C) 2011 Jean Guillerez (j.guillerez - orange.fr)
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* Copyright (C) 2014 Michael Catanzaro (mcatanzaro@gnome.org)
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*
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* This program is free software; you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation; either version 2 of the License, or
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* (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License along
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* with this program; if not, write to the Free Software Foundation, Inc.,
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* 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
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*/
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#include "config.h"
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#include <cstdlib>
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#include <iostream>
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#include "qqwing.hpp"
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namespace qqwing {
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string getVersion(){
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return VERSION;
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}
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/**
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* While solving the puzzle, log steps taken in a log item.
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* This is useful for later printing out the solve history
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* or gathering statistics about how hard the puzzle was to
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* solve.
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*/
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class LogItem {
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public:
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enum LogType {
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GIVEN,
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SINGLE,
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HIDDEN_SINGLE_ROW,
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HIDDEN_SINGLE_COLUMN,
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HIDDEN_SINGLE_SECTION,
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GUESS,
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ROLLBACK,
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NAKED_PAIR_ROW,
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NAKED_PAIR_COLUMN,
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NAKED_PAIR_SECTION,
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POINTING_PAIR_TRIPLE_ROW,
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POINTING_PAIR_TRIPLE_COLUMN,
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ROW_BOX,
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COLUMN_BOX,
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HIDDEN_PAIR_ROW,
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HIDDEN_PAIR_COLUMN,
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HIDDEN_PAIR_SECTION
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};
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LogItem(int round, LogType type);
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LogItem(int round, LogType type, int value, int position);
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int getRound();
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void print();
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LogType getType();
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~LogItem();
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private:
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void init(int round, LogType type, int value, int position);
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/**
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* The recursion level at which this item was gathered.
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* Used for backing out log items solve branches that
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* don't lead to a solution.
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*/
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int round;
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/**
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* The type of log message that will determine the
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* message printed.
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*/
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LogType type;
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/**
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* Value that was set by the operation (or zero for no value)
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*/
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int value;
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/**
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* position on the board at which the value (if any) was set.
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*/
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int position;
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};
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void shuffleArray(int* array, int size);
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SudokuBoard::Symmetry getRandomSymmetry();
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int getLogCount(vector<LogItem*>* v, LogItem::LogType type);
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static inline int cellToColumn(int cell);
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static inline int cellToRow(int cell);
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static inline int cellToSectionStartCell(int cell);
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static inline int cellToSection(int cell);
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static inline int rowToFirstCell(int row);
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static inline int columnToFirstCell(int column);
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static inline int sectionToFirstCell(int section);
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static inline int getPossibilityIndex(int valueIndex, int cell);
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static inline int rowColumnToCell(int row, int column);
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static inline int sectionToCell(int section, int offset);
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/**
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* Create a new Sudoku board
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*/
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SudokuBoard::SudokuBoard() :
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puzzle ( new int[BOARD_SIZE] ),
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solution ( new int[BOARD_SIZE] ),
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solutionRound ( new int[BOARD_SIZE] ),
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possibilities ( new int[POSSIBILITY_SIZE] ),
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randomBoardArray ( new int[BOARD_SIZE] ),
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randomPossibilityArray ( new int[ROW_COL_SEC_SIZE] ),
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recordHistory ( false ),
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logHistory( false ),
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solveHistory ( new vector<LogItem*>() ),
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solveInstructions ( new vector<LogItem*>() ),
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printStyle ( READABLE ),
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lastSolveRound (0)
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{
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{for (int i=0; i<BOARD_SIZE; i++){
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randomBoardArray[i] = i;
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}}
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{for (int i=0; i<ROW_COL_SEC_SIZE; i++){
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randomPossibilityArray[i] = i;
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}}
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}
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/**
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* Get the number of cells that are
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* set in the puzzle (as opposed to
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* figured out in the solution
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*/
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int SudokuBoard::getGivenCount(){
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int count = 0;
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{for (int i=0; i<BOARD_SIZE; i++){
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if (puzzle[i] != 0) count++;
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}}
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return count;
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}
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/**
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* Set the board to the given puzzle.
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* The given puzzle must be an array of 81 integers.
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*/
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bool SudokuBoard::setPuzzle(int* initPuzzle){
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{for (int i=0; i<BOARD_SIZE; i++){
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puzzle[i] = (initPuzzle==NULL)?0:initPuzzle[i];
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}}
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return reset();
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}
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/**
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* Retrieves the puzzle as an unmodifiable array of 81 integers.
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*/
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const int* SudokuBoard::getPuzzle(){
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return puzzle;
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}
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/**
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* Retrieves the puzzle's solution as an unmodifiable array of 81 integers.
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*/
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const int* SudokuBoard::getSolution(){
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return solution;
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}
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/**
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* Reset the board to its initial state with
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* only the givens.
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* This method clears any solution, resets statistics,
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* and clears any history messages.
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*/
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bool SudokuBoard::reset(){
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{for (int i=0; i<BOARD_SIZE; i++){
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solution[i] = 0;
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}}
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{for (int i=0; i<BOARD_SIZE; i++){
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solutionRound[i] = 0;
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}}
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{for (int i=0; i<POSSIBILITY_SIZE; i++){
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possibilities[i] = 0;
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}}
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{for (unsigned int i=0; i<solveHistory->size(); i++){
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delete solveHistory->at(i);
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}}
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solveHistory->clear();
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solveInstructions->clear();
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int round = 1;
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for (int position=0; position<BOARD_SIZE; position++){
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if (puzzle[position] > 0){
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int valIndex = puzzle[position]-1;
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int valPos = getPossibilityIndex(valIndex,position);
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int value = puzzle[position];
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if (possibilities[valPos] != 0) return false;
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mark(position,round,value);
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if (logHistory || recordHistory) addHistoryItem(new LogItem(round, LogItem::GIVEN, value, position));
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}
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}
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return true;
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}
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/**
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* Get the difficulty rating.
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*/
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SudokuBoard::Difficulty SudokuBoard::getDifficulty(){
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if (getGuessCount() > 0) return SudokuBoard::EXPERT;
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if (getBoxLineReductionCount() > 0) return SudokuBoard::INTERMEDIATE;
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if (getPointingPairTripleCount() > 0) return SudokuBoard::INTERMEDIATE;
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if (getHiddenPairCount() > 0) return SudokuBoard::INTERMEDIATE;
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if (getNakedPairCount() > 0) return SudokuBoard::INTERMEDIATE;
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if (getHiddenSingleCount() > 0) return SudokuBoard::EASY;
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if (getSingleCount() > 0) return SudokuBoard::SIMPLE;
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return SudokuBoard::UNKNOWN;
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}
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/**
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* Get the difficulty rating.
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*/
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string SudokuBoard::getDifficultyAsString(){
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SudokuBoard::Difficulty difficulty = getDifficulty();
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switch (difficulty){
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case SudokuBoard::EXPERT: return "Expert";
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case SudokuBoard::INTERMEDIATE: return "Intermediate";
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case SudokuBoard::EASY: return "Easy";
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case SudokuBoard::SIMPLE: return "Simple";
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default: return "Unknown";
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}
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}
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/**
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* Get the number of cells for which the solution was determined
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* because there was only one possible value for that cell.
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*/
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int SudokuBoard::getSingleCount(){
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return getLogCount(solveInstructions, LogItem::SINGLE);
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}
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/**
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* Get the number of cells for which the solution was determined
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* because that cell had the only possibility for some value in
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* the row, column, or section.
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*/
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int SudokuBoard::getHiddenSingleCount(){
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return getLogCount(solveInstructions, LogItem::HIDDEN_SINGLE_ROW) +
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getLogCount(solveInstructions, LogItem::HIDDEN_SINGLE_COLUMN) +
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getLogCount(solveInstructions, LogItem::HIDDEN_SINGLE_SECTION);
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}
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/**
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* Get the number of naked pair reductions that were performed
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* in solving this puzzle.
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*/
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int SudokuBoard::getNakedPairCount(){
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return getLogCount(solveInstructions, LogItem::NAKED_PAIR_ROW) +
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getLogCount(solveInstructions, LogItem::NAKED_PAIR_COLUMN) +
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getLogCount(solveInstructions, LogItem::NAKED_PAIR_SECTION);
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}
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/**
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* Get the number of hidden pair reductions that were performed
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* in solving this puzzle.
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*/
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int SudokuBoard::getHiddenPairCount(){
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return getLogCount(solveInstructions, LogItem::HIDDEN_PAIR_ROW) +
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getLogCount(solveInstructions, LogItem::HIDDEN_PAIR_COLUMN) +
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getLogCount(solveInstructions, LogItem::HIDDEN_PAIR_SECTION);
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}
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/**
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* Get the number of pointing pair/triple reductions that were performed
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* in solving this puzzle.
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*/
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int SudokuBoard::getPointingPairTripleCount(){
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return getLogCount(solveInstructions, LogItem::POINTING_PAIR_TRIPLE_ROW)+
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getLogCount(solveInstructions, LogItem::POINTING_PAIR_TRIPLE_COLUMN);
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}
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/**
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* Get the number of box/line reductions that were performed
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* in solving this puzzle.
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*/
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int SudokuBoard::getBoxLineReductionCount(){
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return getLogCount(solveInstructions, LogItem::ROW_BOX)+
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getLogCount(solveInstructions, LogItem::COLUMN_BOX);
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}
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/**
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* Get the number lucky guesses in solving this puzzle.
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*/
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int SudokuBoard::getGuessCount(){
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return getLogCount(solveInstructions, LogItem::GUESS);
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}
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/**
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* Get the number of backtracks (unlucky guesses) required
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* when solving this puzzle.
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*/
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int SudokuBoard::getBacktrackCount(){
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return getLogCount(solveHistory, LogItem::ROLLBACK);
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}
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void SudokuBoard::shuffleRandomArrays(){
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shuffleArray(randomBoardArray, BOARD_SIZE);
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shuffleArray(randomPossibilityArray, ROW_COL_SEC_SIZE);
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}
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void SudokuBoard::clearPuzzle(){
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// Clear any existing puzzle
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{for (int i=0; i<BOARD_SIZE; i++){
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puzzle[i] = 0;
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}}
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reset();
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}
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bool SudokuBoard::generatePuzzle(){
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return generatePuzzleSymmetry(SudokuBoard::NONE);
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}
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bool SudokuBoard::generatePuzzleSymmetry(SudokuBoard::Symmetry symmetry){
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if (symmetry == SudokuBoard::RANDOM) symmetry = getRandomSymmetry();
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// Don't record history while generating.
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bool recHistory = recordHistory;
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setRecordHistory(false);
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bool lHistory = logHistory;
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setLogHistory(false);
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clearPuzzle();
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// Start by getting the randomness in order so that
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// each puzzle will be different from the last.
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shuffleRandomArrays();
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// Now solve the puzzle the whole way. The solve
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// uses random algorithms, so we should have a
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// really randomly totally filled sudoku
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// Even when starting from an empty grid
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solve();
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if (symmetry == SudokuBoard::NONE){
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// Rollback any square for which it is obvious that
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// the square doesn't contribute to a unique solution
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// (ie, squares that were filled by logic rather
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// than by guess)
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rollbackNonGuesses();
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}
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// Record all marked squares as the puzzle so
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// that we can call countSolutions without losing it.
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{for (int i=0; i<BOARD_SIZE; i++){
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puzzle[i] = solution[i];
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}}
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// Rerandomize everything so that we test squares
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// in a different order than they were added.
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shuffleRandomArrays();
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// Remove one value at a time and see if
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// the puzzle still has only one solution.
|
||
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// If it does, leave it out the point because
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// it is not needed.
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||
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{for (int i=0; i<BOARD_SIZE; i++){
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// check all the positions, but in shuffled order
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||
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int position = randomBoardArray[i];
|
||
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if (puzzle[position] > 0){
|
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int positionsym1 = -1;
|
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int positionsym2 = -1;
|
||
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int positionsym3 = -1;
|
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switch (symmetry){
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case ROTATE90:
|
||
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positionsym2 = rowColumnToCell(ROW_COL_SEC_SIZE-1-cellToColumn(position),cellToRow(position));
|
||
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|
positionsym3 = rowColumnToCell(cellToColumn(position),ROW_COL_SEC_SIZE-1-cellToRow(position));
|
||
|
|
case ROTATE180:
|
||
|
|
positionsym1 = rowColumnToCell(ROW_COL_SEC_SIZE-1-cellToRow(position),ROW_COL_SEC_SIZE-1-cellToColumn(position));
|
||
|
|
break;
|
||
|
|
case MIRROR:
|
||
|
|
positionsym1 = rowColumnToCell(cellToRow(position),ROW_COL_SEC_SIZE-1-cellToColumn(position));
|
||
|
|
break;
|
||
|
|
case FLIP:
|
||
|
|
positionsym1 = rowColumnToCell(ROW_COL_SEC_SIZE-1-cellToRow(position),cellToColumn(position));
|
||
|
|
break;
|
||
|
|
case RANDOM: // NOTE: Should never happen
|
||
|
|
break;
|
||
|
|
case NONE: // NOTE: No need to do anything
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
// try backing out the value and
|
||
|
|
// counting solutions to the puzzle
|
||
|
|
int savedValue = puzzle[position];
|
||
|
|
puzzle[position] = 0;
|
||
|
|
int savedSym1 = 0;
|
||
|
|
if (positionsym1 >= 0){
|
||
|
|
savedSym1 = puzzle[positionsym1];
|
||
|
|
puzzle[positionsym1] = 0;
|
||
|
|
}
|
||
|
|
int savedSym2 = 0;
|
||
|
|
if (positionsym2 >= 0){
|
||
|
|
savedSym2 = puzzle[positionsym2];
|
||
|
|
puzzle[positionsym2] = 0;
|
||
|
|
}
|
||
|
|
int savedSym3 = 0;
|
||
|
|
if (positionsym3 >= 0){
|
||
|
|
savedSym3 = puzzle[positionsym3];
|
||
|
|
puzzle[positionsym3] = 0;
|
||
|
|
}
|
||
|
|
reset();
|
||
|
|
if (countSolutions(2, true) > 1){
|
||
|
|
// Put it back in, it is needed
|
||
|
|
puzzle[position] = savedValue;
|
||
|
|
if (positionsym1 >= 0 && savedSym1 != 0) puzzle[positionsym1] = savedSym1;
|
||
|
|
if (positionsym2 >= 0 && savedSym2 != 0) puzzle[positionsym2] = savedSym2;
|
||
|
|
if (positionsym3 >= 0 && savedSym3 != 0) puzzle[positionsym3] = savedSym3;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}}
|
||
|
|
|
||
|
|
// Clear all solution info, leaving just the puzzle.
|
||
|
|
reset();
|
||
|
|
|
||
|
|
// Restore recording history.
|
||
|
|
setRecordHistory(recHistory);
|
||
|
|
setLogHistory(lHistory);
|
||
|
|
|
||
|
|
return true;
|
||
|
|
|
||
|
|
}
|
||
|
|
|
||
|
|
void SudokuBoard::rollbackNonGuesses(){
|
||
|
|
// Guesses are odd rounds
|
||
|
|
// Non-guesses are even rounds
|
||
|
|
{for (int i=2; i<=lastSolveRound; i+=2){
|
||
|
|
rollbackRound(i);
|
||
|
|
}}
|
||
|
|
}
|
||
|
|
|
||
|
|
void SudokuBoard::setPrintStyle(PrintStyle ps){
|
||
|
|
printStyle = ps;
|
||
|
|
}
|
||
|
|
|
||
|
|
void SudokuBoard::setRecordHistory(bool recHistory){
|
||
|
|
recordHistory = recHistory;
|
||
|
|
}
|
||
|
|
|
||
|
|
void SudokuBoard::setLogHistory(bool logHist){
|
||
|
|
logHistory = logHist;
|
||
|
|
}
|
||
|
|
|
||
|
|
void SudokuBoard::addHistoryItem(LogItem* l){
|
||
|
|
if (logHistory){
|
||
|
|
l->print();
|
||
|
|
cout << endl;
|
||
|
|
}
|
||
|
|
if (recordHistory){
|
||
|
|
solveHistory->push_back(l);
|
||
|
|
solveInstructions->push_back(l);
|
||
|
|
} else {
|
||
|
|
delete l;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
void SudokuBoard::printHistory(vector<LogItem*>* v){
|
||
|
|
if (!recordHistory){
|
||
|
|
cout << "History was not recorded.";
|
||
|
|
if (printStyle == CSV){
|
||
|
|
cout << " -- ";
|
||
|
|
} else {
|
||
|
|
cout << endl;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
{for (unsigned int i=0;i<v->size();i++){
|
||
|
|
cout << i+1 << ". ";
|
||
|
|
v->at(i)->print();
|
||
|
|
if (printStyle == CSV){
|
||
|
|
cout << " -- ";
|
||
|
|
} else {
|
||
|
|
cout << endl;
|
||
|
|
}
|
||
|
|
}}
|
||
|
|
if (printStyle == CSV){
|
||
|
|
cout << ",";
|
||
|
|
} else {
|
||
|
|
cout << endl;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
void SudokuBoard::printSolveInstructions(){
|
||
|
|
if (isSolved()){
|
||
|
|
printHistory(solveInstructions);
|
||
|
|
} else {
|
||
|
|
cout << "No solve instructions - Puzzle is not possible to solve." << endl;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
void SudokuBoard::printSolveHistory(){
|
||
|
|
printHistory(solveHistory);
|
||
|
|
}
|
||
|
|
|
||
|
|
bool SudokuBoard::solve(){
|
||
|
|
reset();
|
||
|
|
shuffleRandomArrays();
|
||
|
|
return solve(2);
|
||
|
|
}
|
||
|
|
|
||
|
|
bool SudokuBoard::solve(int round){
|
||
|
|
lastSolveRound = round;
|
||
|
|
|
||
|
|
while (singleSolveMove(round)){
|
||
|
|
if (isSolved()) return true;
|
||
|
|
if (isImpossible()) return false;
|
||
|
|
}
|
||
|
|
|
||
|
|
int nextGuessRound = round+1;
|
||
|
|
int nextRound = round+2;
|
||
|
|
for (int guessNumber=0; guess(nextGuessRound, guessNumber); guessNumber++){
|
||
|
|
if (isImpossible() || !solve(nextRound)){
|
||
|
|
rollbackRound(nextRound);
|
||
|
|
rollbackRound(nextGuessRound);
|
||
|
|
} else {
|
||
|
|
return true;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return false;
|
||
|
|
}
|
||
|
|
|
||
|
|
bool SudokuBoard::hasUniqueSolution(){
|
||
|
|
return countSolutionsLimited() == 1;
|
||
|
|
}
|
||
|
|
|
||
|
|
int SudokuBoard::countSolutions(){
|
||
|
|
return countSolutions(false);
|
||
|
|
}
|
||
|
|
|
||
|
|
int SudokuBoard::countSolutionsLimited(){
|
||
|
|
return countSolutions(true);
|
||
|
|
}
|
||
|
|
|
||
|
|
int SudokuBoard::countSolutions(bool limitToTwo){
|
||
|
|
// Don't record history while generating.
|
||
|
|
bool recHistory = recordHistory;
|
||
|
|
setRecordHistory(false);
|
||
|
|
bool lHistory = logHistory;
|
||
|
|
setLogHistory(false);
|
||
|
|
|
||
|
|
reset();
|
||
|
|
int solutionCount = countSolutions(2, limitToTwo);
|
||
|
|
|
||
|
|
// Restore recording history.
|
||
|
|
setRecordHistory(recHistory);
|
||
|
|
setLogHistory(lHistory);
|
||
|
|
|
||
|
|
return solutionCount;
|
||
|
|
}
|
||
|
|
|
||
|
|
int SudokuBoard::countSolutions(int round, bool limitToTwo){
|
||
|
|
while (singleSolveMove(round)){
|
||
|
|
if (isSolved()){
|
||
|
|
rollbackRound(round);
|
||
|
|
return 1;
|
||
|
|
}
|
||
|
|
if (isImpossible()){
|
||
|
|
rollbackRound(round);
|
||
|
|
return 0;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
int solutions = 0;
|
||
|
|
int nextRound = round+1;
|
||
|
|
for (int guessNumber=0; guess(nextRound, guessNumber); guessNumber++){
|
||
|
|
solutions += countSolutions(nextRound, limitToTwo);
|
||
|
|
if (limitToTwo && solutions >=2){
|
||
|
|
rollbackRound(round);
|
||
|
|
return solutions;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
rollbackRound(round);
|
||
|
|
return solutions;
|
||
|
|
}
|
||
|
|
|
||
|
|
void SudokuBoard::rollbackRound(int round){
|
||
|
|
if (logHistory || recordHistory) addHistoryItem(new LogItem(round, LogItem::ROLLBACK));
|
||
|
|
{for (int i=0; i<BOARD_SIZE; i++){
|
||
|
|
if (solutionRound[i] == round){
|
||
|
|
solutionRound[i] = 0;
|
||
|
|
solution[i] = 0;
|
||
|
|
}
|
||
|
|
}}
|
||
|
|
{for (int i=0; i<POSSIBILITY_SIZE; i++){
|
||
|
|
if (possibilities[i] == round){
|
||
|
|
possibilities[i] = 0;
|
||
|
|
}
|
||
|
|
}}
|
||
|
|
|
||
|
|
while(solveInstructions->size() > 0 && solveInstructions->back()->getRound() == round){
|
||
|
|
solveInstructions->pop_back();
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
bool SudokuBoard::isSolved(){
|
||
|
|
{for (int i=0; i<BOARD_SIZE; i++){
|
||
|
|
if (solution[i] == 0){
|
||
|
|
return false;
|
||
|
|
}
|
||
|
|
}}
|
||
|
|
return true;
|
||
|
|
}
|
||
|
|
|
||
|
|
bool SudokuBoard::isImpossible(){
|
||
|
|
for (int position=0; position<BOARD_SIZE; position++){
|
||
|
|
if (solution[position] == 0){
|
||
|
|
int count = 0;
|
||
|
|
for (int valIndex=0; valIndex<ROW_COL_SEC_SIZE; valIndex++){
|
||
|
|
int valPos = getPossibilityIndex(valIndex,position);
|
||
|
|
if (possibilities[valPos] == 0) count++;
|
||
|
|
}
|
||
|
|
if (count == 0) {
|
||
|
|
return true;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return false;
|
||
|
|
}
|
||
|
|
|
||
|
|
int SudokuBoard::findPositionWithFewestPossibilities(){
|
||
|
|
int minPossibilities = 10;
|
||
|
|
int bestPosition = 0;
|
||
|
|
{for (int i=0; i<BOARD_SIZE; i++){
|
||
|
|
int position = randomBoardArray[i];
|
||
|
|
if (solution[position] == 0){
|
||
|
|
int count = 0;
|
||
|
|
for (int valIndex=0; valIndex<ROW_COL_SEC_SIZE; valIndex++){
|
||
|
|
int valPos = getPossibilityIndex(valIndex,position);
|
||
|
|
if (possibilities[valPos] == 0) count++;
|
||
|
|
}
|
||
|
|
if (count < minPossibilities){
|
||
|
|
minPossibilities = count;
|
||
|
|
bestPosition = position;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}}
|
||
|
|
return bestPosition;
|
||
|
|
}
|
||
|
|
|
||
|
|
bool SudokuBoard::guess(int round, int guessNumber){
|
||
|
|
int localGuessCount = 0;
|
||
|
|
int position = findPositionWithFewestPossibilities();
|
||
|
|
{for (int i=0; i<ROW_COL_SEC_SIZE; i++){
|
||
|
|
int valIndex = randomPossibilityArray[i];
|
||
|
|
int valPos = getPossibilityIndex(valIndex,position);
|
||
|
|
if (possibilities[valPos] == 0){
|
||
|
|
if (localGuessCount == guessNumber){
|
||
|
|
int value = valIndex+1;
|
||
|
|
if (logHistory || recordHistory) addHistoryItem(new LogItem(round, LogItem::GUESS, value, position));
|
||
|
|
mark(position, round, value);
|
||
|
|
return true;
|
||
|
|
}
|
||
|
|
localGuessCount++;
|
||
|
|
}
|
||
|
|
}}
|
||
|
|
return false;
|
||
|
|
}
|
||
|
|
|
||
|
|
bool SudokuBoard::singleSolveMove(int round){
|
||
|
|
if (onlyPossibilityForCell(round)) return true;
|
||
|
|
if (onlyValueInSection(round)) return true;
|
||
|
|
if (onlyValueInRow(round)) return true;
|
||
|
|
if (onlyValueInColumn(round)) return true;
|
||
|
|
if (handleNakedPairs(round)) return true;
|
||
|
|
if (pointingRowReduction(round)) return true;
|
||
|
|
if (pointingColumnReduction(round)) return true;
|
||
|
|
if (rowBoxReduction(round)) return true;
|
||
|
|
if (colBoxReduction(round)) return true;
|
||
|
|
if (hiddenPairInRow(round)) return true;
|
||
|
|
if (hiddenPairInColumn(round)) return true;
|
||
|
|
if (hiddenPairInSection(round)) return true;
|
||
|
|
return false;
|
||
|
|
}
|
||
|
|
|
||
|
|
bool SudokuBoard::colBoxReduction(int round){
|
||
|
|
for (int valIndex=0; valIndex<ROW_COL_SEC_SIZE; valIndex++){
|
||
|
|
for (int col=0; col<ROW_COL_SEC_SIZE; col++){
|
||
|
|
int colStart = columnToFirstCell(col);
|
||
|
|
bool inOneBox = true;
|
||
|
|
int colBox = -1;
|
||
|
|
{for (int i=0; i<GRID_SIZE; i++){
|
||
|
|
for (int j=0; j<GRID_SIZE; j++){
|
||
|
|
int row = i*GRID_SIZE+j;
|
||
|
|
int position = rowColumnToCell(row, col);
|
||
|
|
int valPos = getPossibilityIndex(valIndex,position);
|
||
|
|
if(possibilities[valPos] == 0){
|
||
|
|
if (colBox == -1 || colBox == i){
|
||
|
|
colBox = i;
|
||
|
|
} else {
|
||
|
|
inOneBox = false;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
}
|
||
|
|
}}
|
||
|
|
if (inOneBox && colBox != -1){
|
||
|
|
bool doneSomething = false;
|
||
|
|
int row = GRID_SIZE*colBox;
|
||
|
|
int secStart = cellToSectionStartCell(rowColumnToCell(row, col));
|
||
|
|
int secStartRow = cellToRow(secStart);
|
||
|
|
int secStartCol = cellToColumn(secStart);
|
||
|
|
{for (int i=0; i<GRID_SIZE; i++){
|
||
|
|
for (int j=0; j<GRID_SIZE; j++){
|
||
|
|
int row2 = secStartRow+i;
|
||
|
|
int col2 = secStartCol+j;
|
||
|
|
int position = rowColumnToCell(row2, col2);
|
||
|
|
int valPos = getPossibilityIndex(valIndex,position);
|
||
|
|
if (col != col2 && possibilities[valPos] == 0){
|
||
|
|
possibilities[valPos] = round;
|
||
|
|
doneSomething = true;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}}
|
||
|
|
if (doneSomething){
|
||
|
|
if (logHistory || recordHistory) addHistoryItem(new LogItem(round, LogItem::COLUMN_BOX, valIndex+1, colStart));
|
||
|
|
return true;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return false;
|
||
|
|
}
|
||
|
|
|
||
|
|
bool SudokuBoard::rowBoxReduction(int round){
|
||
|
|
for (int valIndex=0; valIndex<ROW_COL_SEC_SIZE; valIndex++){
|
||
|
|
for (int row=0; row<ROW_COL_SEC_SIZE; row++){
|
||
|
|
int rowStart = rowToFirstCell(row);
|
||
|
|
bool inOneBox = true;
|
||
|
|
int rowBox = -1;
|
||
|
|
{for (int i=0; i<GRID_SIZE; i++){
|
||
|
|
for (int j=0; j<GRID_SIZE; j++){
|
||
|
|
int column = i*GRID_SIZE+j;
|
||
|
|
int position = rowColumnToCell(row, column);
|
||
|
|
int valPos = getPossibilityIndex(valIndex,position);
|
||
|
|
if(possibilities[valPos] == 0){
|
||
|
|
if (rowBox == -1 || rowBox == i){
|
||
|
|
rowBox = i;
|
||
|
|
} else {
|
||
|
|
inOneBox = false;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
}
|
||
|
|
}}
|
||
|
|
if (inOneBox && rowBox != -1){
|
||
|
|
bool doneSomething = false;
|
||
|
|
int column = GRID_SIZE*rowBox;
|
||
|
|
int secStart = cellToSectionStartCell(rowColumnToCell(row, column));
|
||
|
|
int secStartRow = cellToRow(secStart);
|
||
|
|
int secStartCol = cellToColumn(secStart);
|
||
|
|
{for (int i=0; i<GRID_SIZE; i++){
|
||
|
|
for (int j=0; j<GRID_SIZE; j++){
|
||
|
|
int row2 = secStartRow+i;
|
||
|
|
int col2 = secStartCol+j;
|
||
|
|
int position = rowColumnToCell(row2, col2);
|
||
|
|
int valPos = getPossibilityIndex(valIndex,position);
|
||
|
|
if (row != row2 && possibilities[valPos] == 0){
|
||
|
|
possibilities[valPos] = round;
|
||
|
|
doneSomething = true;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}}
|
||
|
|
if (doneSomething){
|
||
|
|
if (logHistory || recordHistory) addHistoryItem(new LogItem(round, LogItem::ROW_BOX, valIndex+1, rowStart));
|
||
|
|
return true;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return false;
|
||
|
|
}
|
||
|
|
|
||
|
|
bool SudokuBoard::pointingRowReduction(int round){
|
||
|
|
for (int valIndex=0; valIndex<ROW_COL_SEC_SIZE; valIndex++){
|
||
|
|
for (int section=0; section<ROW_COL_SEC_SIZE; section++){
|
||
|
|
int secStart = sectionToFirstCell(section);
|
||
|
|
bool inOneRow = true;
|
||
|
|
int boxRow = -1;
|
||
|
|
for (int j=0; j<GRID_SIZE; j++){
|
||
|
|
{for (int i=0; i<GRID_SIZE; i++){
|
||
|
|
int secVal=secStart+i+(ROW_COL_SEC_SIZE*j);
|
||
|
|
int valPos = getPossibilityIndex(valIndex,secVal);
|
||
|
|
if(possibilities[valPos] == 0){
|
||
|
|
if (boxRow == -1 || boxRow == j){
|
||
|
|
boxRow = j;
|
||
|
|
} else {
|
||
|
|
inOneRow = false;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}}
|
||
|
|
}
|
||
|
|
if (inOneRow && boxRow != -1){
|
||
|
|
bool doneSomething = false;
|
||
|
|
int row = cellToRow(secStart) + boxRow;
|
||
|
|
int rowStart = rowToFirstCell(row);
|
||
|
|
|
||
|
|
{for (int i=0; i<ROW_COL_SEC_SIZE; i++){
|
||
|
|
int position = rowStart+i;
|
||
|
|
int section2 = cellToSection(position);
|
||
|
|
int valPos = getPossibilityIndex(valIndex,position);
|
||
|
|
if (section != section2 && possibilities[valPos] == 0){
|
||
|
|
possibilities[valPos] = round;
|
||
|
|
doneSomething = true;
|
||
|
|
}
|
||
|
|
}}
|
||
|
|
if (doneSomething){
|
||
|
|
if (logHistory || recordHistory) addHistoryItem(new LogItem(round, LogItem::POINTING_PAIR_TRIPLE_ROW, valIndex+1, rowStart));
|
||
|
|
return true;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return false;
|
||
|
|
}
|
||
|
|
|
||
|
|
bool SudokuBoard::pointingColumnReduction(int round){
|
||
|
|
for (int valIndex=0; valIndex<ROW_COL_SEC_SIZE; valIndex++){
|
||
|
|
for (int section=0; section<ROW_COL_SEC_SIZE; section++){
|
||
|
|
int secStart = sectionToFirstCell(section);
|
||
|
|
bool inOneCol = true;
|
||
|
|
int boxCol = -1;
|
||
|
|
{for (int i=0; i<GRID_SIZE; i++){
|
||
|
|
for (int j=0; j<GRID_SIZE; j++){
|
||
|
|
int secVal=secStart+i+(ROW_COL_SEC_SIZE*j);
|
||
|
|
int valPos = getPossibilityIndex(valIndex,secVal);
|
||
|
|
if(possibilities[valPos] == 0){
|
||
|
|
if (boxCol == -1 || boxCol == i){
|
||
|
|
boxCol = i;
|
||
|
|
} else {
|
||
|
|
inOneCol = false;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}}
|
||
|
|
if (inOneCol && boxCol != -1){
|
||
|
|
bool doneSomething = false;
|
||
|
|
int col = cellToColumn(secStart) + boxCol;
|
||
|
|
int colStart = columnToFirstCell(col);
|
||
|
|
|
||
|
|
{for (int i=0; i<ROW_COL_SEC_SIZE; i++){
|
||
|
|
int position = colStart+(ROW_COL_SEC_SIZE*i);
|
||
|
|
int section2 = cellToSection(position);
|
||
|
|
int valPos = getPossibilityIndex(valIndex,position);
|
||
|
|
if (section != section2 && possibilities[valPos] == 0){
|
||
|
|
possibilities[valPos] = round;
|
||
|
|
doneSomething = true;
|
||
|
|
}
|
||
|
|
}}
|
||
|
|
if (doneSomething){
|
||
|
|
if (logHistory || recordHistory) addHistoryItem(new LogItem(round, LogItem::POINTING_PAIR_TRIPLE_COLUMN, valIndex+1, colStart));
|
||
|
|
return true;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return false;
|
||
|
|
}
|
||
|
|
|
||
|
|
int SudokuBoard::countPossibilities(int position){
|
||
|
|
int count = 0;
|
||
|
|
for (int valIndex=0; valIndex<ROW_COL_SEC_SIZE; valIndex++){
|
||
|
|
int valPos = getPossibilityIndex(valIndex,position);
|
||
|
|
if (possibilities[valPos] == 0) count++;
|
||
|
|
}
|
||
|
|
return count;
|
||
|
|
}
|
||
|
|
|
||
|
|
bool SudokuBoard::arePossibilitiesSame(int position1, int position2){
|
||
|
|
for (int valIndex=0; valIndex<ROW_COL_SEC_SIZE; valIndex++){
|
||
|
|
int valPos1 = getPossibilityIndex(valIndex,position1);
|
||
|
|
int valPos2 = getPossibilityIndex(valIndex,position2);
|
||
|
|
if ((possibilities[valPos1] == 0 || possibilities[valPos2] == 0) && (possibilities[valPos1] != 0 || possibilities[valPos2] != 0)){
|
||
|
|
return false;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return true;
|
||
|
|
}
|
||
|
|
|
||
|
|
bool SudokuBoard::removePossibilitiesInOneFromTwo(int position1, int position2, int round){
|
||
|
|
bool doneSomething = false;
|
||
|
|
for (int valIndex=0; valIndex<ROW_COL_SEC_SIZE; valIndex++){
|
||
|
|
int valPos1 = getPossibilityIndex(valIndex,position1);
|
||
|
|
int valPos2 = getPossibilityIndex(valIndex,position2);
|
||
|
|
if (possibilities[valPos1] == 0 && possibilities[valPos2] == 0){
|
||
|
|
possibilities[valPos2] = round;
|
||
|
|
doneSomething = true;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return doneSomething;
|
||
|
|
}
|
||
|
|
|
||
|
|
bool SudokuBoard::hiddenPairInColumn(int round){
|
||
|
|
for (int column=0; column<ROW_COL_SEC_SIZE; column++){
|
||
|
|
for (int valIndex=0; valIndex<ROW_COL_SEC_SIZE; valIndex++){
|
||
|
|
int r1 = -1;
|
||
|
|
int r2 = -1;
|
||
|
|
int valCount = 0;
|
||
|
|
for (int row=0; row<ROW_COL_SEC_SIZE; row++){
|
||
|
|
int position = rowColumnToCell(row,column);
|
||
|
|
int valPos = getPossibilityIndex(valIndex,position);
|
||
|
|
if (possibilities[valPos] == 0){
|
||
|
|
if (r1 == -1 || r1 == row){
|
||
|
|
r1 = row;
|
||
|
|
} else if (r2 == -1 || r2 == row){
|
||
|
|
r2 = row;
|
||
|
|
}
|
||
|
|
valCount++;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
if (valCount==2){
|
||
|
|
for (int valIndex2=valIndex+1; valIndex2<ROW_COL_SEC_SIZE; valIndex2++){
|
||
|
|
int r3 = -1;
|
||
|
|
int r4 = -1;
|
||
|
|
int valCount2 = 0;
|
||
|
|
for (int row=0; row<ROW_COL_SEC_SIZE; row++){
|
||
|
|
int position = rowColumnToCell(row,column);
|
||
|
|
int valPos = getPossibilityIndex(valIndex2,position);
|
||
|
|
if (possibilities[valPos] == 0){
|
||
|
|
if (r3 == -1 || r3 == row){
|
||
|
|
r3 = row;
|
||
|
|
} else if (r4 == -1 || r4 == row){
|
||
|
|
r4 = row;
|
||
|
|
}
|
||
|
|
valCount2++;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
if (valCount2==2 && r1==r3 && r2==r4){
|
||
|
|
bool doneSomething = false;
|
||
|
|
for (int valIndex3=0; valIndex3<ROW_COL_SEC_SIZE; valIndex3++){
|
||
|
|
if (valIndex3 != valIndex && valIndex3 != valIndex2){
|
||
|
|
int position1 = rowColumnToCell(r1,column);
|
||
|
|
int position2 = rowColumnToCell(r2,column);
|
||
|
|
int valPos1 = getPossibilityIndex(valIndex3,position1);
|
||
|
|
int valPos2 = getPossibilityIndex(valIndex3,position2);
|
||
|
|
if (possibilities[valPos1] == 0){
|
||
|
|
possibilities[valPos1] = round;
|
||
|
|
doneSomething = true;
|
||
|
|
}
|
||
|
|
if (possibilities[valPos2] == 0){
|
||
|
|
possibilities[valPos2] = round;
|
||
|
|
doneSomething = true;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
if (doneSomething){
|
||
|
|
if (logHistory || recordHistory) addHistoryItem(new LogItem(round, LogItem::HIDDEN_PAIR_COLUMN, valIndex+1, rowColumnToCell(r1,column)));
|
||
|
|
return true;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return false;
|
||
|
|
}
|
||
|
|
|
||
|
|
bool SudokuBoard::hiddenPairInSection(int round){
|
||
|
|
for (int section=0; section<ROW_COL_SEC_SIZE; section++){
|
||
|
|
for (int valIndex=0; valIndex<ROW_COL_SEC_SIZE; valIndex++){
|
||
|
|
int si1 = -1;
|
||
|
|
int si2 = -1;
|
||
|
|
int valCount = 0;
|
||
|
|
for (int secInd=0; secInd<ROW_COL_SEC_SIZE; secInd++){
|
||
|
|
int position = sectionToCell(section,secInd);
|
||
|
|
int valPos = getPossibilityIndex(valIndex,position);
|
||
|
|
if (possibilities[valPos] == 0){
|
||
|
|
if (si1 == -1 || si1 == secInd){
|
||
|
|
si1 = secInd;
|
||
|
|
} else if (si2 == -1 || si2 == secInd){
|
||
|
|
si2 = secInd;
|
||
|
|
}
|
||
|
|
valCount++;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
if (valCount==2){
|
||
|
|
for (int valIndex2=valIndex+1; valIndex2<ROW_COL_SEC_SIZE; valIndex2++){
|
||
|
|
int si3 = -1;
|
||
|
|
int si4 = -1;
|
||
|
|
int valCount2 = 0;
|
||
|
|
for (int secInd=0; secInd<ROW_COL_SEC_SIZE; secInd++){
|
||
|
|
int position = sectionToCell(section,secInd);
|
||
|
|
int valPos = getPossibilityIndex(valIndex2,position);
|
||
|
|
if (possibilities[valPos] == 0){
|
||
|
|
if (si3 == -1 || si3 == secInd){
|
||
|
|
si3 = secInd;
|
||
|
|
} else if (si4 == -1 || si4 == secInd){
|
||
|
|
si4 = secInd;
|
||
|
|
}
|
||
|
|
valCount2++;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
if (valCount2==2 && si1==si3 && si2==si4){
|
||
|
|
bool doneSomething = false;
|
||
|
|
for (int valIndex3=0; valIndex3<ROW_COL_SEC_SIZE; valIndex3++){
|
||
|
|
if (valIndex3 != valIndex && valIndex3 != valIndex2){
|
||
|
|
int position1 = sectionToCell(section,si1);
|
||
|
|
int position2 = sectionToCell(section,si2);
|
||
|
|
int valPos1 = getPossibilityIndex(valIndex3,position1);
|
||
|
|
int valPos2 = getPossibilityIndex(valIndex3,position2);
|
||
|
|
if (possibilities[valPos1] == 0){
|
||
|
|
possibilities[valPos1] = round;
|
||
|
|
doneSomething = true;
|
||
|
|
}
|
||
|
|
if (possibilities[valPos2] == 0){
|
||
|
|
possibilities[valPos2] = round;
|
||
|
|
doneSomething = true;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
if (doneSomething){
|
||
|
|
if (logHistory || recordHistory) addHistoryItem(new LogItem(round, LogItem::HIDDEN_PAIR_SECTION, valIndex+1, sectionToCell(section,si1)));
|
||
|
|
return true;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return false;
|
||
|
|
}
|
||
|
|
|
||
|
|
bool SudokuBoard::hiddenPairInRow(int round){
|
||
|
|
for (int row=0; row<ROW_COL_SEC_SIZE; row++){
|
||
|
|
for (int valIndex=0; valIndex<ROW_COL_SEC_SIZE; valIndex++){
|
||
|
|
int c1 = -1;
|
||
|
|
int c2 = -1;
|
||
|
|
int valCount = 0;
|
||
|
|
for (int column=0; column<ROW_COL_SEC_SIZE; column++){
|
||
|
|
int position = rowColumnToCell(row,column);
|
||
|
|
int valPos = getPossibilityIndex(valIndex,position);
|
||
|
|
if (possibilities[valPos] == 0){
|
||
|
|
if (c1 == -1 || c1 == column){
|
||
|
|
c1 = column;
|
||
|
|
} else if (c2 == -1 || c2 == column){
|
||
|
|
c2 = column;
|
||
|
|
}
|
||
|
|
valCount++;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
if (valCount==2){
|
||
|
|
for (int valIndex2=valIndex+1; valIndex2<ROW_COL_SEC_SIZE; valIndex2++){
|
||
|
|
int c3 = -1;
|
||
|
|
int c4 = -1;
|
||
|
|
int valCount2 = 0;
|
||
|
|
for (int column=0; column<ROW_COL_SEC_SIZE; column++){
|
||
|
|
int position = rowColumnToCell(row,column);
|
||
|
|
int valPos = getPossibilityIndex(valIndex2,position);
|
||
|
|
if (possibilities[valPos] == 0){
|
||
|
|
if (c3 == -1 || c3 == column){
|
||
|
|
c3 = column;
|
||
|
|
} else if (c4 == -1 || c4 == column){
|
||
|
|
c4 = column;
|
||
|
|
}
|
||
|
|
valCount2++;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
if (valCount2==2 && c1==c3 && c2==c4){
|
||
|
|
bool doneSomething = false;
|
||
|
|
for (int valIndex3=0; valIndex3<ROW_COL_SEC_SIZE; valIndex3++){
|
||
|
|
if (valIndex3 != valIndex && valIndex3 != valIndex2){
|
||
|
|
int position1 = rowColumnToCell(row,c1);
|
||
|
|
int position2 = rowColumnToCell(row,c2);
|
||
|
|
int valPos1 = getPossibilityIndex(valIndex3,position1);
|
||
|
|
int valPos2 = getPossibilityIndex(valIndex3,position2);
|
||
|
|
if (possibilities[valPos1] == 0){
|
||
|
|
possibilities[valPos1] = round;
|
||
|
|
doneSomething = true;
|
||
|
|
}
|
||
|
|
if (possibilities[valPos2] == 0){
|
||
|
|
possibilities[valPos2] = round;
|
||
|
|
doneSomething = true;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
if (doneSomething){
|
||
|
|
if (logHistory || recordHistory) addHistoryItem(new LogItem(round, LogItem::HIDDEN_PAIR_ROW, valIndex+1, rowColumnToCell(row,c1)));
|
||
|
|
return true;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return false;
|
||
|
|
}
|
||
|
|
|
||
|
|
bool SudokuBoard::handleNakedPairs(int round){
|
||
|
|
for (int position=0; position<BOARD_SIZE; position++){
|
||
|
|
int possibilities = countPossibilities(position);
|
||
|
|
if (possibilities == 2){
|
||
|
|
int row = cellToRow(position);
|
||
|
|
int column = cellToColumn(position);
|
||
|
|
int section = cellToSectionStartCell(position);
|
||
|
|
for (int position2=position; position2<BOARD_SIZE; position2++){
|
||
|
|
if (position != position2){
|
||
|
|
int possibilities2 = countPossibilities(position2);
|
||
|
|
if (possibilities2 == 2 && arePossibilitiesSame(position, position2)){
|
||
|
|
if (row == cellToRow(position2)){
|
||
|
|
bool doneSomething = false;
|
||
|
|
for (int column2=0; column2<ROW_COL_SEC_SIZE; column2++){
|
||
|
|
int position3 = rowColumnToCell(row,column2);
|
||
|
|
if (position3 != position && position3 != position2 && removePossibilitiesInOneFromTwo(position, position3, round)){
|
||
|
|
doneSomething = true;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
if (doneSomething){
|
||
|
|
if (logHistory || recordHistory) addHistoryItem(new LogItem(round, LogItem::NAKED_PAIR_ROW, 0, position));
|
||
|
|
return true;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
if (column == cellToColumn(position2)){
|
||
|
|
bool doneSomething = false;
|
||
|
|
for (int row2=0; row2<ROW_COL_SEC_SIZE; row2++){
|
||
|
|
int position3 = rowColumnToCell(row2,column);
|
||
|
|
if (position3 != position && position3 != position2 && removePossibilitiesInOneFromTwo(position, position3, round)){
|
||
|
|
doneSomething = true;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
if (doneSomething){
|
||
|
|
if (logHistory || recordHistory) addHistoryItem(new LogItem(round, LogItem::NAKED_PAIR_COLUMN, 0, position));
|
||
|
|
return true;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
if (section == cellToSectionStartCell(position2)){
|
||
|
|
bool doneSomething = false;
|
||
|
|
int secStart = cellToSectionStartCell(position);
|
||
|
|
{for (int i=0; i<GRID_SIZE; i++){
|
||
|
|
for (int j=0; j<GRID_SIZE; j++){
|
||
|
|
int position3=secStart+i+(ROW_COL_SEC_SIZE*j);
|
||
|
|
if (position3 != position && position3 != position2 && removePossibilitiesInOneFromTwo(position, position3, round)){
|
||
|
|
doneSomething = true;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}}
|
||
|
|
if (doneSomething){
|
||
|
|
if (logHistory || recordHistory) addHistoryItem(new LogItem(round, LogItem::NAKED_PAIR_SECTION, 0, position));
|
||
|
|
return true;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return false;
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Mark exactly one cell which is the only possible value for some row, if
|
||
|
|
* such a cell exists.
|
||
|
|
* This method will look in a row for a possibility that is only listed
|
||
|
|
* for one cell. This type of cell is often called a "hidden single"
|
||
|
|
*/
|
||
|
|
bool SudokuBoard::onlyValueInRow(int round){
|
||
|
|
for (int row=0; row<ROW_COL_SEC_SIZE; row++){
|
||
|
|
for (int valIndex=0; valIndex<ROW_COL_SEC_SIZE; valIndex++){
|
||
|
|
int count = 0;
|
||
|
|
int lastPosition = 0;
|
||
|
|
for (int col=0; col<ROW_COL_SEC_SIZE; col++){
|
||
|
|
int position = (row*ROW_COL_SEC_SIZE)+col;
|
||
|
|
int valPos = getPossibilityIndex(valIndex,position);
|
||
|
|
if (possibilities[valPos] == 0){
|
||
|
|
count++;
|
||
|
|
lastPosition = position;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
if (count == 1){
|
||
|
|
int value = valIndex+1;
|
||
|
|
if (logHistory || recordHistory) addHistoryItem(new LogItem(round, LogItem::HIDDEN_SINGLE_ROW, value, lastPosition));
|
||
|
|
mark(lastPosition, round, value);
|
||
|
|
return true;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return false;
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Mark exactly one cell which is the only possible value for some column, if
|
||
|
|
* such a cell exists.
|
||
|
|
* This method will look in a column for a possibility that is only listed
|
||
|
|
* for one cell. This type of cell is often called a "hidden single"
|
||
|
|
*/
|
||
|
|
bool SudokuBoard::onlyValueInColumn(int round){
|
||
|
|
for (int col=0; col<ROW_COL_SEC_SIZE; col++){
|
||
|
|
for (int valIndex=0; valIndex<ROW_COL_SEC_SIZE; valIndex++){
|
||
|
|
int count = 0;
|
||
|
|
int lastPosition = 0;
|
||
|
|
for (int row=0; row<ROW_COL_SEC_SIZE; row++){
|
||
|
|
int position = rowColumnToCell(row,col);
|
||
|
|
int valPos = getPossibilityIndex(valIndex,position);
|
||
|
|
if (possibilities[valPos] == 0){
|
||
|
|
count++;
|
||
|
|
lastPosition = position;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
if (count == 1){
|
||
|
|
int value = valIndex+1;
|
||
|
|
if (logHistory || recordHistory) addHistoryItem(new LogItem(round, LogItem::HIDDEN_SINGLE_COLUMN, value, lastPosition));
|
||
|
|
mark(lastPosition, round, value);
|
||
|
|
return true;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return false;
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Mark exactly one cell which is the only possible value for some section, if
|
||
|
|
* such a cell exists.
|
||
|
|
* This method will look in a section for a possibility that is only listed
|
||
|
|
* for one cell. This type of cell is often called a "hidden single"
|
||
|
|
*/
|
||
|
|
bool SudokuBoard::onlyValueInSection(int round){
|
||
|
|
for (int sec=0; sec<ROW_COL_SEC_SIZE; sec++){
|
||
|
|
int secPos = sectionToFirstCell(sec);
|
||
|
|
for (int valIndex=0; valIndex<ROW_COL_SEC_SIZE; valIndex++){
|
||
|
|
int count = 0;
|
||
|
|
int lastPosition = 0;
|
||
|
|
{for (int i=0; i<GRID_SIZE; i++){
|
||
|
|
for (int j=0; j<GRID_SIZE; j++){
|
||
|
|
int position = secPos + i + ROW_COL_SEC_SIZE*j;
|
||
|
|
int valPos = getPossibilityIndex(valIndex,position);
|
||
|
|
if (possibilities[valPos] == 0){
|
||
|
|
count++;
|
||
|
|
lastPosition = position;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}}
|
||
|
|
if (count == 1){
|
||
|
|
int value = valIndex+1;
|
||
|
|
if (logHistory || recordHistory) addHistoryItem(new LogItem(round, LogItem::HIDDEN_SINGLE_SECTION, value, lastPosition));
|
||
|
|
mark(lastPosition, round, value);
|
||
|
|
return true;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return false;
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Mark exactly one cell that has a single possibility, if such a cell exists.
|
||
|
|
* This method will look for a cell that has only one possibility. This type
|
||
|
|
* of cell is often called a "single"
|
||
|
|
*/
|
||
|
|
bool SudokuBoard::onlyPossibilityForCell(int round){
|
||
|
|
for (int position=0; position<BOARD_SIZE; position++){
|
||
|
|
if (solution[position] == 0){
|
||
|
|
int count = 0;
|
||
|
|
int lastValue = 0;
|
||
|
|
for (int valIndex=0; valIndex<ROW_COL_SEC_SIZE; valIndex++){
|
||
|
|
int valPos = getPossibilityIndex(valIndex,position);
|
||
|
|
if (possibilities[valPos] == 0){
|
||
|
|
count++;
|
||
|
|
lastValue=valIndex+1;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
if (count == 1){
|
||
|
|
mark(position, round, lastValue);
|
||
|
|
if (logHistory || recordHistory) addHistoryItem(new LogItem(round, LogItem::SINGLE, lastValue, position));
|
||
|
|
return true;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return false;
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Mark the given value at the given position. Go through
|
||
|
|
* the row, column, and section for the position and remove
|
||
|
|
* the value from the possibilities.
|
||
|
|
*
|
||
|
|
* @param position Position into the board (0-80)
|
||
|
|
* @param round Round to mark for rollback purposes
|
||
|
|
* @param value The value to go in the square at the given position
|
||
|
|
*/
|
||
|
|
void SudokuBoard::mark(int position, int round, int value){
|
||
|
|
if (solution[position] != 0) throw ("Marking position that already has been marked.");
|
||
|
|
if (solutionRound[position] !=0) throw ("Marking position that was marked another round.");
|
||
|
|
int valIndex = value-1;
|
||
|
|
solution[position] = value;
|
||
|
|
|
||
|
|
int possInd = getPossibilityIndex(valIndex,position);
|
||
|
|
if (possibilities[possInd] != 0) throw ("Marking impossible position.");
|
||
|
|
|
||
|
|
// Take this value out of the possibilities for everything in the row
|
||
|
|
solutionRound[position] = round;
|
||
|
|
int rowStart = cellToRow(position)*ROW_COL_SEC_SIZE;
|
||
|
|
for (int col=0; col<ROW_COL_SEC_SIZE; col++){
|
||
|
|
int rowVal=rowStart+col;
|
||
|
|
int valPos = getPossibilityIndex(valIndex,rowVal);
|
||
|
|
//cout << "Row Start: " << rowStart << " Row Value: " << rowVal << " Value Position: " << valPos << endl;
|
||
|
|
if (possibilities[valPos] == 0){
|
||
|
|
possibilities[valPos] = round;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
// Take this value out of the possibilities for everything in the column
|
||
|
|
int colStart = cellToColumn(position);
|
||
|
|
{for (int i=0; i<ROW_COL_SEC_SIZE; i++){
|
||
|
|
int colVal=colStart+(ROW_COL_SEC_SIZE*i);
|
||
|
|
int valPos = getPossibilityIndex(valIndex,colVal);
|
||
|
|
//cout << "Col Start: " << colStart << " Col Value: " << colVal << " Value Position: " << valPos << endl;
|
||
|
|
if (possibilities[valPos] == 0){
|
||
|
|
possibilities[valPos] = round;
|
||
|
|
}
|
||
|
|
}}
|
||
|
|
|
||
|
|
// Take this value out of the possibilities for everything in section
|
||
|
|
int secStart = cellToSectionStartCell(position);
|
||
|
|
{for (int i=0; i<GRID_SIZE; i++){
|
||
|
|
for (int j=0; j<GRID_SIZE; j++){
|
||
|
|
int secVal=secStart+i+(ROW_COL_SEC_SIZE*j);
|
||
|
|
int valPos = getPossibilityIndex(valIndex,secVal);
|
||
|
|
//cout << "Sec Start: " << secStart << " Sec Value: " << secVal << " Value Position: " << valPos << endl;
|
||
|
|
if (possibilities[valPos] == 0){
|
||
|
|
possibilities[valPos] = round;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}}
|
||
|
|
|
||
|
|
//This position itself is determined, it should have possibilities.
|
||
|
|
{for (int valIndex=0; valIndex<ROW_COL_SEC_SIZE; valIndex++){
|
||
|
|
int valPos = getPossibilityIndex(valIndex,position);
|
||
|
|
if (possibilities[valPos] == 0){
|
||
|
|
possibilities[valPos] = round;
|
||
|
|
}
|
||
|
|
}}
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* print the given BOARD_SIZEd array of ints
|
||
|
|
* as a sudoku puzzle. Use print options from
|
||
|
|
* member variables.
|
||
|
|
*/
|
||
|
|
void SudokuBoard::print(int* sudoku){
|
||
|
|
for(int i=0; i<BOARD_SIZE; i++){
|
||
|
|
if (printStyle == READABLE){
|
||
|
|
cout << " ";
|
||
|
|
}
|
||
|
|
if (sudoku[i]==0){
|
||
|
|
cout << '.';
|
||
|
|
} else {
|
||
|
|
cout << sudoku[i];
|
||
|
|
}
|
||
|
|
if (i == BOARD_SIZE-1){
|
||
|
|
if (printStyle == CSV){
|
||
|
|
cout << ",";
|
||
|
|
} else {
|
||
|
|
cout << endl;
|
||
|
|
}
|
||
|
|
if (printStyle == READABLE || printStyle == COMPACT){
|
||
|
|
cout << endl;
|
||
|
|
}
|
||
|
|
} else if (i%ROW_COL_SEC_SIZE==ROW_COL_SEC_SIZE-1){
|
||
|
|
if (printStyle == READABLE || printStyle == COMPACT){
|
||
|
|
cout << endl;
|
||
|
|
}
|
||
|
|
if (i%SEC_GROUP_SIZE==SEC_GROUP_SIZE-1){
|
||
|
|
if (printStyle == READABLE){
|
||
|
|
cout << "-------|-------|-------" << endl;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
} else if (i%GRID_SIZE==GRID_SIZE-1){
|
||
|
|
if (printStyle == READABLE){
|
||
|
|
cout << " |";
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Print the sudoku puzzle.
|
||
|
|
*/
|
||
|
|
void SudokuBoard::printPuzzle(){
|
||
|
|
print(puzzle);
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Print the sudoku solution.
|
||
|
|
*/
|
||
|
|
void SudokuBoard::printSolution(){
|
||
|
|
print(solution);
|
||
|
|
}
|
||
|
|
|
||
|
|
SudokuBoard::~SudokuBoard(){
|
||
|
|
clearPuzzle();
|
||
|
|
delete[] puzzle;
|
||
|
|
delete[] solution;
|
||
|
|
delete[] possibilities;
|
||
|
|
delete[] solutionRound;
|
||
|
|
delete[] randomBoardArray;
|
||
|
|
delete[] randomPossibilityArray;
|
||
|
|
delete solveHistory;
|
||
|
|
delete solveInstructions;
|
||
|
|
}
|
||
|
|
|
||
|
|
LogItem::LogItem(int r, LogType t){
|
||
|
|
init(r,t,0,-1);
|
||
|
|
}
|
||
|
|
|
||
|
|
LogItem::LogItem(int r, LogType t, int v, int p){
|
||
|
|
init(r,t,v,p);
|
||
|
|
}
|
||
|
|
|
||
|
|
void LogItem::init(int r, LogType t, int v, int p){
|
||
|
|
round = r;
|
||
|
|
type = t;
|
||
|
|
value = v;
|
||
|
|
position = p;
|
||
|
|
}
|
||
|
|
|
||
|
|
LogItem::~LogItem(){
|
||
|
|
}
|
||
|
|
|
||
|
|
int LogItem::getRound(){
|
||
|
|
return round;
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Get the type of this log item.
|
||
|
|
*/
|
||
|
|
LogItem::LogType LogItem::getType(){
|
||
|
|
return type;
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Print the current log item. The message used is
|
||
|
|
* determined by the type of log item.
|
||
|
|
*/
|
||
|
|
void LogItem::print(){
|
||
|
|
cout << "Round: " << getRound() << " - ";
|
||
|
|
switch(type){
|
||
|
|
case GIVEN:{
|
||
|
|
cout << "Mark given";
|
||
|
|
} break;
|
||
|
|
case ROLLBACK:{
|
||
|
|
cout << "Roll back round";
|
||
|
|
} break;
|
||
|
|
case GUESS:{
|
||
|
|
cout << "Mark guess (start round)";
|
||
|
|
} break;
|
||
|
|
case HIDDEN_SINGLE_ROW:{
|
||
|
|
cout << "Mark single possibility for value in row";
|
||
|
|
} break;
|
||
|
|
case HIDDEN_SINGLE_COLUMN:{
|
||
|
|
cout << "Mark single possibility for value in column";
|
||
|
|
} break;
|
||
|
|
case HIDDEN_SINGLE_SECTION:{
|
||
|
|
cout << "Mark single possibility for value in section";
|
||
|
|
} break;
|
||
|
|
case SINGLE:{
|
||
|
|
cout << "Mark only possibility for cell";
|
||
|
|
} break;
|
||
|
|
case NAKED_PAIR_ROW:{
|
||
|
|
cout << "Remove possibilities for naked pair in row";
|
||
|
|
} break;
|
||
|
|
case NAKED_PAIR_COLUMN:{
|
||
|
|
cout << "Remove possibilities for naked pair in column";
|
||
|
|
} break;
|
||
|
|
case NAKED_PAIR_SECTION:{
|
||
|
|
cout << "Remove possibilities for naked pair in section";
|
||
|
|
} break;
|
||
|
|
case POINTING_PAIR_TRIPLE_ROW: {
|
||
|
|
cout << "Remove possibilities for row because all values are in one section";
|
||
|
|
} break;
|
||
|
|
case POINTING_PAIR_TRIPLE_COLUMN: {
|
||
|
|
cout << "Remove possibilities for column because all values are in one section";
|
||
|
|
} break;
|
||
|
|
case ROW_BOX: {
|
||
|
|
cout << "Remove possibilities for section because all values are in one row";
|
||
|
|
} break;
|
||
|
|
case COLUMN_BOX: {
|
||
|
|
cout << "Remove possibilities for section because all values are in one column";
|
||
|
|
} break;
|
||
|
|
case HIDDEN_PAIR_ROW: {
|
||
|
|
cout << "Remove possibilities from hidden pair in row";
|
||
|
|
} break;
|
||
|
|
case HIDDEN_PAIR_COLUMN: {
|
||
|
|
cout << "Remove possibilities from hidden pair in column";
|
||
|
|
} break;
|
||
|
|
case HIDDEN_PAIR_SECTION: {
|
||
|
|
cout << "Remove possibilities from hidden pair in section";
|
||
|
|
} break;
|
||
|
|
default:{
|
||
|
|
cout << "!!! Performed unknown optimization !!!";
|
||
|
|
} break;
|
||
|
|
}
|
||
|
|
if (value > 0 || position > -1){
|
||
|
|
cout << " (";
|
||
|
|
bool printed = false;
|
||
|
|
if (position > -1){
|
||
|
|
if (printed) cout << " - ";
|
||
|
|
cout << "Row: " << cellToRow(position)+1 << " - Column: " << cellToColumn(position)+1;
|
||
|
|
printed = true;
|
||
|
|
}
|
||
|
|
if (value > 0){
|
||
|
|
if (printed) cout << " - ";
|
||
|
|
cout << "Value: " << value;
|
||
|
|
printed = true;
|
||
|
|
}
|
||
|
|
cout << ")";
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Given a vector of LogItems, determine how many
|
||
|
|
* log items in the vector are of the specified type.
|
||
|
|
*/
|
||
|
|
int getLogCount(vector<LogItem*>* v, LogItem::LogType type){
|
||
|
|
unsigned int count = 0;
|
||
|
|
{for (unsigned int i=0; i<v->size(); i++){
|
||
|
|
if(v->at(i)->getType() == type) count++;
|
||
|
|
}}
|
||
|
|
return count;
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Shuffle the values in an array of integers.
|
||
|
|
*/
|
||
|
|
void shuffleArray(int* array, int size){
|
||
|
|
{for (int i=0; i<size; i++){
|
||
|
|
int tailSize = size-i;
|
||
|
|
int randTailPos = rand()%tailSize+i;
|
||
|
|
int temp = array[i];
|
||
|
|
array[i] = array[randTailPos];
|
||
|
|
array[randTailPos] = temp;
|
||
|
|
}}
|
||
|
|
}
|
||
|
|
|
||
|
|
SudokuBoard::Symmetry getRandomSymmetry(){
|
||
|
|
switch (rand()%4){
|
||
|
|
case 0: return SudokuBoard::ROTATE90;
|
||
|
|
case 1: return SudokuBoard::ROTATE180;
|
||
|
|
case 2: return SudokuBoard::MIRROR;
|
||
|
|
case 3: return SudokuBoard::FLIP;
|
||
|
|
}
|
||
|
|
return SudokuBoard::ROTATE90; // NOTE: default action
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Given the index of a cell (0-80) calculate
|
||
|
|
* the column (0-8) in which that cell resides.
|
||
|
|
*/
|
||
|
|
static inline int cellToColumn(int cell){
|
||
|
|
return cell%ROW_COL_SEC_SIZE;
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Given the index of a cell (0-80) calculate
|
||
|
|
* the row (0-8) in which it resides.
|
||
|
|
*/
|
||
|
|
static inline int cellToRow(int cell){
|
||
|
|
return cell/ROW_COL_SEC_SIZE;
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Given the index of a cell (0-80) calculate
|
||
|
|
* the section (0-8) in which it resides.
|
||
|
|
*/
|
||
|
|
static inline int cellToSection(int cell){
|
||
|
|
return (cell/SEC_GROUP_SIZE*GRID_SIZE)
|
||
|
|
+ (cellToColumn(cell)/GRID_SIZE);
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Given the index of a cell (0-80) calculate
|
||
|
|
* the cell (0-80) that is the upper left start
|
||
|
|
* cell of that section.
|
||
|
|
*/
|
||
|
|
static inline int cellToSectionStartCell(int cell){
|
||
|
|
return (cell/SEC_GROUP_SIZE*SEC_GROUP_SIZE)
|
||
|
|
+ (cellToColumn(cell)/GRID_SIZE*GRID_SIZE);
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Given a row (0-8) calculate the first cell (0-80)
|
||
|
|
* of that row.
|
||
|
|
*/
|
||
|
|
static inline int rowToFirstCell(int row){
|
||
|
|
return ROW_COL_SEC_SIZE*row;
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Given a column (0-8) calculate the first cell (0-80)
|
||
|
|
* of that column.
|
||
|
|
*/
|
||
|
|
static inline int columnToFirstCell(int column){
|
||
|
|
return column;
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Given a section (0-8) calculate the first cell (0-80)
|
||
|
|
* of that section.
|
||
|
|
*/
|
||
|
|
static inline int sectionToFirstCell(int section){
|
||
|
|
return (section%GRID_SIZE*GRID_SIZE)
|
||
|
|
+ (section/GRID_SIZE*SEC_GROUP_SIZE);
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Given a value for a cell (0-8) and a cell (0-80)
|
||
|
|
* calculate the offset into the possibility array (0-728).
|
||
|
|
*/
|
||
|
|
static inline int getPossibilityIndex(int valueIndex, int cell){
|
||
|
|
return valueIndex+(ROW_COL_SEC_SIZE*cell);
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Given a row (0-8) and a column (0-8) calculate the
|
||
|
|
* cell (0-80).
|
||
|
|
*/
|
||
|
|
static inline int rowColumnToCell(int row, int column){
|
||
|
|
return (row*ROW_COL_SEC_SIZE)+column;
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Given a section (0-8) and an offset into that section (0-8)
|
||
|
|
* calculate the cell (0-80)
|
||
|
|
*/
|
||
|
|
static inline int sectionToCell(int section, int offset){
|
||
|
|
return sectionToFirstCell(section)
|
||
|
|
+ ((offset/GRID_SIZE)*ROW_COL_SEC_SIZE)
|
||
|
|
+ (offset%GRID_SIZE);
|
||
|
|
}
|
||
|
|
}
|