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solver.js
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class Sudoku {
constructor(state){
/* Supported Format
[
[0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,3,0,8,5],
[0,0,1,0,2,0,0,0,0],
[0,0,0,5,0,7,0,0,0],
[0,0,4,0,0,0,1,0,0],
[0,9,0,0,0,0,0,0,0],
[5,0,0,0,0,0,0,7,3],
[0,0,2,0,1,0,0,0,0],
[0,0,0,0,4,0,0,0,9]
]
OR
'497200000100400005000016098620300040300900000001072600002005870000600004530097061';
*/
if(Array.isArray(state[0])){
this.state = state;
} else if(typeof state === 'string'){
this.state =[];
for(let i=0;i<9;i++) {
const row = state.slice(i*9, i*9+9);
this.state.push(row.split('').map(n=>Number(n)))
}
}
this.allNumbers = [1,2,3,4,5,6,7,8,9];
}
getRow(row) {
return this.state[row];
}
getColumn(column){
return this.state.map(row=>row[column]);
}
checkNumberExistsInRow(row, number){
return this.getRow(row).includes(number);
}
checkNumberExistsInColumn(column, number){
return this.getColumn(column).includes(number);
}
checkNumberExistsInBox(row, column, number){
const boxX = parseInt(row / 3) * 3;
const boxY = parseInt(column / 3) * 3;
for( let i=boxX; i<boxX+3; i++){
for(let j=boxY; j<boxY+3; j++){
if(this.state[i][j] === number) return true;
}
}
return false;
}
getPossibleValues(row, column){
if(this.state[row][column]) return [];
return this.allNumbers.filter(number=>
!this.checkNumberExistsInColumn(column, number) &&
!this.checkNumberExistsInRow(row, number) &&
!this.checkNumberExistsInBox(row, column, number)
)
}
print(){
this.state.map(row=>console.log(JSON.stringify(row)))
}
getNextEmptyPosition(){
let rowIndex, columnIndex;
this.state.some((row, rowI)=>{
return row.some((col, colI)=>{
if(col===0) {
rowIndex = rowI;
columnIndex = colI;
return true;
}
})
})
return([rowIndex, columnIndex]);
}
}
let count = 0;
let gameSolved = false;
const recursionLimit = 10000000;
const clone = (arr)=>{
return arr.map(row=>[...row])
}
const solve = (sudoku)=>{
if(gameSolved) return;
const [row, column] = sudoku.getNextEmptyPosition();
if(row === undefined || column === undefined) {
sudoku.print();
console.log("Iteration:",count)
gameSolved = sudoku.state;
return; // Means game solved.
}
const possibleValues = sudoku.getPossibleValues(row, column);
possibleValues.forEach(number=>{
if(count++<recursionLimit){
const newState = clone(sudoku.state);
newState[row][column] = number;
const newSudoku = new Sudoku(newState);
solve(newSudoku);
}
})
}
function solveHandler(){
let str ='';
gameSolved = false;
try{
for(let i=0;i<9;i++){
for(let j=0;j<9;j++){
const number = Number(document.getElementById(''+i+j).value);
if(number<0 || number>9 || isNaN(number)) throw new Error("Error")
str+= number;
}
}
} catch(e){
alert("Please enter valid numbers!");
return;
}
if(!str.split('').reduce((a,e)=>a+Number(e),0)){ // All Zeros
alert("Enter at least one cell.");
return;
}
console.log("Input",str);
const sudoku = new Sudoku(str);
sudoku.print();
console.log("------------")
solve(sudoku);
if(!gameSolved) alert("Unable to solve..!");
else {
for(let i=0;i<9;i++){
for(let j=0;j<9;j++){
document.getElementById(''+i+j).value = gameSolved[i][j];
}
}
}
}
function clearHandler(){
for(let i=0;i<9;i++){
for(let j=0;j<9;j++){
document.getElementById(''+i+j).value = '';
}
}
}
const samples = [
'004300209005009001070060043006002087190007400050083000600000105003508690042910300',
'040100050107003960520008000000000017000906800803050620090060543600080700250097100',
'600120384008459072000006005000264030070080006940003000310000050089700000502000190',
'497200000100400005000016098620300040300900000001072600002005870000600004530097061',
'005910308009403060027500100030000201000820007006007004000080000640150700890000420',
'100005007380900000600000480820001075040760020069002001005039004000020100000046352',
'009065430007000800600108020003090002501403960804000100030509007056080000070240090',
'000000657702400100350006000500020009210300500047109008008760090900502030030018206',
'503070190000006750047190600400038000950200300000010072000804001300001860086720005',
'060720908084003001700100065900008000071060000002010034000200706030049800215000090',
'004083002051004300000096710120800006040000500830607900060309040007000205090050803',
'000060280709001000860320074900040510007190340003006002002970000300800905500000021',
'004300000890200670700900050500008140070032060600001308001750900005040012980006005',
'008070100120090054000003020604010089530780010009062300080040607007506000400800002',
'065370002000001370000640800097004028080090001100020940040006700070018050230900060',
'005710329000362800004000000100000980083900250006003100300106000409800007070029500',
'200005300000073850000108904070009001651000040040200080300050000580760100410030096',
'040800500080760092001005470056309000009001004320500010000200700700090030005008026',
'050083017000100400304005608000030009090824500006000070009000050007290086103607204',
'700084005300701020080260401624109038803600010000000002900000000001005790035400006',
]
function prePopulateRandom(){
const str = samples[Math.floor(Math.random() * samples.length)];
let count = 0;
for(let i=0;i<9;i++){
for(let j=0;j<9;j++, count++){
document.getElementById(''+i+j).value = str[count]==='0'?'':str[count];
}
}
}