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sudoku-solver.cpp
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sudoku-solver.cpp
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/*
*=====================
* Sudoku Solver
*=====================
*
* Author - Sayan Mukherjee
* Objective - Takes in Sudoku puzzles and outputs the solution.
*/
#include<iostream>
#include<fstream>
using namespace std;
/**
* This class provides a data structure which can hold and manipulate the values in a sudoku puzzle.
* In this file, we shall call this data structure the 'Sudoku Frame'.
*/
class SudokuFrame{
int sudokuFrame[9][9]; //This pointer will hold all the values in the matrix.
int editableFrame[9][9]; //This pointer will tell us all the values which are editable.
/**
* @desc This constructor calls the menu() func to provide the menu.
* @param none
* @return none
*/
public:SudokuFrame(){
menu();
}
/**
* @desc Displays a menu to the user when the SudokuFrame objects in instantiated
* (which is basically at the start of the program) to display all possible options
* from the user.
*
* @param none
* @return none
*/
private:void menu(){
cout<<"\n======================\n";
cout<<" Sudoku Solver\n";
cout<<"======================\n\n";
cout<<"Welcome to Sudoku Solver!\n";
cout<<"Before we start, you will have to input the puzzle into this program.\n\n";
cout<<"You can either:-\n";
cout<<"\t1. Input the puzzle by entering the values manually. (Enter 1)\n";
cout<<"\t2. Input the puzzle by reading a file with values in it. (Enter 2)\n";
cout<<"\t The file must not have a name > 20 characters.\n";
cout<<"\t The file must be in the same directory as this C++ file.\n";
cout<<"\t The file must have all 81 values seperated with spaces.\n";
cout<<"\t Blank cells must be filled in as 0 (eg; 1 0 0 2 0 0 ...).\n";
cout<<"\t --> ";
int option;
cin>>option;
if(option==1) readFrameValues();
else if(option==2) readFrameValuesFile();
else{
while(true){
cout<<"\nYou seem to have entered an invalid option. Try again.\n";
cout<<"\t --> ";
cin>>option;
if(option==1) readFrameValues();
else if(option==2) readFrameValuesFile();
else continue;
break;
}
}
}
/**
* @desc Reads the values for the Sudoku Frame cell-by-cell.
* @param none
* @return none
*/
private:void readFrameValues(){
cout<<"\nEnter the specified value when prompted.\n";
cout<<"Enter 0 if cell is empty.\n\n";
int rowIter, colIter;
for(rowIter=0; rowIter<9; rowIter++){ //Iterating over cells to read vals.
for(colIter=0; colIter<9; colIter++){
int enteredValue;
cout<<"Enter value for cell["<<rowIter+1<<"]["<<colIter+1<<"] --> ";
cin>>enteredValue;
if(!(enteredValue>=0 && enteredValue<=9)){ //Checking for bounds in input.
while(true){ //We loop until valid input is read from user.
cout<<"Oops! You seem to have entered a wrong value! Try again.\n";
cout<<"Enter value for cell ["<<rowIter+1<<"]["<<colIter+1<<"] --> ";
cin>>enteredValue;
if(enteredValue>=0 && enteredValue<=9) break;
}
}
sudokuFrame[rowIter][colIter]=enteredValue;
if(enteredValue==0) editableFrame[rowIter][colIter]=0;
else editableFrame[rowIter][colIter]=1;
}
cout<<"-------\n"; //Display a break after every row for convenience.
}
}
/**
* @desc Reads the values from a file containing the frame values seperated by whitespaces.
* @param none
* @return none
*/
private:void readFrameValuesFile(){
char filename[30]; //Getting filename.
cout<<"\nEnter the name of the file that contains the Sudoku Puzzle.\n";
cout<<"\t --> ";
cin>>filename;
ifstream sudokuFile; //Opening file for reading.
sudokuFile.open(filename,ios::in);
int rowIter, colIter;
for(rowIter=0; rowIter<9; rowIter++){ //Iterating over file values.
for(colIter=0; colIter<9; colIter++){
int readValue;
sudokuFile>>readValue;
if(!(readValue>=0 && readValue<=9)){ //Checking bounds for input.
cout<<"\nValue "<<((rowIter*9)+colIter+1)<<" in "<<filename;
cout<<" seems to be wrong! Correct the value and try again!\n";
exit(EXIT_FAILURE);
}
sudokuFrame[rowIter][colIter]=readValue;
if(sudokuFrame[rowIter][colIter]==0) editableFrame[rowIter][colIter]=0;
else editableFrame[rowIter][colIter]=1;
if(sudokuFile.eof()) break; //Breaking if EOF is reached.
}
}
//Gotta have a line which lets us check the frame for any errors
sudokuFile.close();
}
/**
* @desc Assigns the passed-in number to the specified row and col.
* @param row (int) row of the specified cell
* @param col (int) col of the specified cell
* @return none
*/
public:void setCellValue(int row, int col, int num){
if(editableFrame[row][col]==0) sudokuFrame[row][col]=num;
}
/**
* @desc Returns the value of the cell at the specified row and col.
* @param row (int) row of the specified cell
* @param col (int) col of the specified cell
* @return (int) cellValue value at the specified cell
*/
public:int getCellValue(int row, int col){
int cellValue=sudokuFrame[row][col];
return cellValue;
}
/**
* @desc Returns 0/1 depending on editableFrame values.
* @param row (int) row of the required cell
* @param col (int) col of the required cell
* @return (int) 1 if editable; 0 if not
*/
public:int isEditable(int row, int col){
return (editableFrame[row][col]-1)*(-1);
}
/**
* @desc Clears frame of all values, other than the question values, from
* the specified cell to the last cell.
* @param row (int) row of the specified cell
* @param col (int) col of the specified cell
*/
public:void clearFrameFrom(int row, int col){
int jcount=0;
int rowIter, colIter;
for(rowIter=row; rowIter<9; rowIter++){
if(jcount==0) colIter=col;
else colIter=0;
for(; colIter<9; colIter++){
if(editableFrame[rowIter][colIter]==0) sudokuFrame[rowIter][colIter]=0;
}
jcount++;
}
}
/**
* @desc Displays the values stored in the frame with designs. We also use
* ANSI colors, using escape sequences, to display the frame.
* @param none
* @return none
*/
public:void displayFrame(){
cout<<"\033[0;36m++=====================================++";
int rowIter, colIter;
for(rowIter=0; rowIter<9; rowIter++){
int cellIter=1;
cout<<"\n\033[0;36m||";
for(colIter=0; colIter<9; colIter++){
if(cellIter==3){
cout<<"\033[0m "<<sudokuFrame[rowIter][colIter]<<" ";
cout<<"\033[0;36m||";
cellIter=1;
}
else{
cout<<"\033[0m "<<sudokuFrame[rowIter][colIter]<<" ";
cellIter++;
}
}
if(rowIter%3!=2) cout<<"\n\033[0;36m++-----------++-----------++-----------++";
else cout<<"\n\033[0;36m++=====================================++";
}
}
};
/**
* This class provides the programmer a very simple way to iterate through
* the possibilities of a specified cell. This object utilises linked lists.
*/
class Possibilities{
struct node{
int value;
struct node* next;
}; //The struct for the node
typedef struct node* Node;
Node head; //The head node
Node pos; //A node iterator variable
/**
* @desc This constructor initialises the head (or sentinel) node.
* @param none
*/
public:Possibilities(){
head=new struct node;
head->next=NULL;
}
/**
* @desc This destructor destroys the linked list once the object
* has finished its lifespan. Calls the destroy() function.
*/
public:~Possibilities(){
destroy();
}
/**
* @desc This functions takes in a number and adds it as a node in
* the linked list.
* @param number (int) the number which we want to append
* @return none
*/
public:void append(int number){
Node temp=new struct node;
temp->value=number;
temp->next=NULL;
pos=head;
while(pos!=NULL){
if(pos->next==NULL){
pos->next=temp;
break;
}
pos=pos->next;
}
}
/**
* @desc An operator overload function which overloads the [] operator.
* @param index (int) the index of the required node in the linked list.
* @return (int) the value contained in the specified node.
*/
public:int operator[](int index){
int count=0;
pos=head->next;
while(pos!=NULL){
if(count==index)
return pos->value;
pos=pos->next;
count++;
}
return -1;
}
/** print()
* @desc Prints the values inside all the nodes of the linked list.
* @param none
* @return none
*/
public:void print(){
pos=head->next;
while(pos!=NULL){
cout<<pos->value<<",";
pos=pos->next;
}
cout<<"\b";
}
/**
* @desc Returns the length of the linked list.
* @param none
* @return (int) the length of the linked list.
*/
public:int length(){
pos=head->next;
int count=0;
while(pos!=NULL){
count++;
pos=pos->next;
}
return count;
}
/**
* @desc This function takes in a possibilities object and copies
* the contents into THIS object.
* @param possibilities (Possibilities) the object which is to be copied
* @return none
*/
public:void copy(Possibilities possibilities){ //Need to make this clear the old list if exists
int oldLength=possibilities.length();
int iter=0;
pos=head;
for(iter=0; iter<oldLength; iter++){
Node temp=new struct node;
temp->next=NULL;
temp->value=possibilities[iter];
pos->next=temp;
pos=pos->next;
}
}
/**
* @desc Frees all the nodes in the linked list.
* @param none
* @return none
*/
private:void destroy(){
Node temp;
pos=head;
while(pos!=NULL){
temp=pos;
pos=pos->next;
delete temp;
}
}
};
/**
* Takes in the SudokuFrame object and solves the Sudoku Puzzle.
*/
class SudokuSolver{
int recursiveCount; //Stats variable
SudokuFrame frame; //The frame object
/**
* @desc The constructor initialises the recursiveCount variable and also calls
* the solve() function which solves the puzzle. It also displays the frames
* before and after the solving.
* @param none
*/
public:SudokuSolver(){
recursiveCount=0;
cout<<"\nCalculating possibilities...\n";
cout<<"Backtracking across puzzle....\n";
cout<<"Validating cells and values...\n\n";
solve();
cout<<"QED. Your puzzle has been solved!\n\n";
displayFrame();
cout<<"\n\n";
}
/**
* @desc Checks if the value in the specified cell is valid or not.
* @param row (int) row of the required value
* @param col (int) col of the required value
* @param currentValue (int) the required value
* @return (bool) whether the value is valid or not in the sudoku frame
*/
private:bool cellValueValid(int row, int col, int currentValue){
int rowIter, colIter;
//Checking if value exists in same column
for(rowIter=0; rowIter<9; rowIter++){
if(rowIter!=row){
int comparingValue=frame.getCellValue(rowIter,col);
if(comparingValue==currentValue) return false;
}
}
//Checking if value exists in same row
for(colIter=0; colIter<9; colIter++){
if(colIter!=col){
int comparingValue=frame.getCellValue(row,colIter);
if(comparingValue==currentValue) return false;
}
}
//Checking if value exists in the same 3x3 square block
if(ThreeByThreeGridValid(row,col,currentValue)==false) return false;
return true;
}
/**
* @desc Checks if the same value is also present in the same 3x3 grid block.
* @param row (int) row of the required cell
* @param col (int) col of the required cell
* @param currentValue (int) required value
* @return (bool) whether the value is present or not
*/
private:bool ThreeByThreeGridValid(int row, int col, int currentValue){
int rowStart=(row/3)*3;
int rowEnd=(rowStart+2);
int colStart=(col/3)*3;
int colEnd=(colStart+2);
int rowIter, colIter;
for(rowIter=rowStart; rowIter<=rowEnd; rowIter++){
for(colIter=colStart; colIter<=colEnd; colIter++){
if(frame.getCellValue(rowIter,colIter)==currentValue) return false;
}
}
return true;
}
/**
* @desc Gets the possible values and assigns them to the possibilities list.
* @param row (int) row of the specified cell
* @param col (int) col of the specified cell
* @return (Possibilities) Possibilities object containing all the possible values.
*/
private:Possibilities getCellPossibilities(int row, int col){
int iter=0;
Possibilities possibilities;
for(iter=1; iter<=9; iter++){
if(cellValueValid(row,col,iter)==true)
possibilities.append(iter);
}
return possibilities;
}
/**
* @desc The recursive function which does all the work, this iterates over the
* possible values for the specified cell one-by-one. Once a value has been filled, it
* goes to the next cell. Here, the same thing happens. If none of the possible values
* work out, then the function backtracks to the previous cell.
*
* @param row (int) row of the specified cell
* @param col (int) col of the specified cell
* @return (int) whether the value put in the cell made it a SUCCESS or NOT
*/
private:int singleCellSolve(int row, int col){
statsIncrement(); //This is used to see how many times the func is called.
if(frame.isEditable(row,col)==true){
Possibilities possibilities;
possibilities.copy(getCellPossibilities(row,col));
int posLength=possibilities.length();
int posIter=0, newRow=row, newCol=col;
for(posIter=0; posIter<posLength; posIter++){ //We iter over the possible values
int possibility=possibilities[posIter];
frame.setCellValue(row,col,possibility);
//We now increment the col/row values for the next recursion
if(col<8) newCol=col+1;
else if(col==8){
if(row==8) return 1; //this means success
newRow=row+1;
newCol=0;
}
{
if(singleCellSolve(newRow,newCol)==0){ //If wrong, clear frame and start over
frame.clearFrameFrom(newRow,newCol);
}
else return 1;
} //Recursion block ends here
} //Loop ends here
return 0;
} //The isEditable() if block ends here.
else{
int newRow=row, newCol=col;
//Same incrementing of the col/row values
if(col<8) newCol=col+1;
else if(col==8){
if(row==8) return 1;
newRow=row+1;
newCol=0;
}
return singleCellSolve(newRow,newCol);
} //The else block ends here
}
/**
* @desc Calls the singleCellSolve() func and prints a success/fail mesg.
* @param none
* @return none
*/
private:void solve(){
int success=singleCellSolve(0,0);
}
/**
* @desc Displays the sudoku frame by calling the displayFrame() func of the
* SudokuFrame object.
* @param none
* @return none
*/
private:void displayFrame(){
frame.displayFrame();
}
/**
* @desc This increments the count variable to keep track of the recursions done.
* @param none
* @return none
*/
private:void statsIncrement(){
recursiveCount++;
}
/**
* @desc This displays the number of times recursion has happened.
* @param none
* @return none
*/
public:void statsPrint(){
cout<<"\nThe singleCellSolve() function was recursively called "<<recursiveCount<<" times.\n";
}
};
int main(){
SudokuSolver ss;
return 0;
}