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@jiahaoliuliu
Last active August 29, 2015 14:25
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Sudoku checker. Simple checker for Sudoku with complexity O(N^2)
package com.jiahaoliuliu.sudokuchecker;
import java.util.ArrayList;
import java.util.HashSet;
import java.util.Set;
/**
* A class to check the if the content of a Sudoku is correct or not. The complexity of the algorithm
* has been kept to O(N^2), instead of O(N^3) for the cube check.
*
* @author Jiahaoliuliu
* @main jiahaoliuliu@gmail.com
* @blog jiahaoliuliu.com
* @Twitter @jiahaoliuliu
* Created on 20th of July 2015
*/
public class SudokuChecker {
/**
* The final sum of the row, column or so of Sudoku. This is used to check if a row, a column
* and a single cube (3x3) is correct or not.
*/
private static final int ROW_SUM = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9;
// The size of the cube. This value can be changed to change the size of the cube.
// If so, the value of ROW_SUM must be changed as well.
private static final int CUBE_SIZE = 3;
// Variable used to test the row and column checker
private static int[][] sudoku = new int[][]{
// Row 1
{1, 2, 3, 4, 5, 6, 7, 8, 9},
// Row 2
{2, 3, 4, 5, 6, 7, 8, 9, 1},
// Row 3
{3, 4, 5, 6, 7, 8, 9, 1, 2},
// Row 4
{4, 5, 6, 7, 8, 9, 1, 2, 3},
// Row 5
{5, 6, 7, 8, 9, 1, 2, 3, 4},
// Row 6
{6, 7, 8, 9, 1, 2, 3, 4, 5},
// Row 7
{7, 8, 9, 1, 2, 3, 4, 5, 6},
// Row 8
{8, 9, 1, 2, 3, 4, 5, 6, 7},
// Row 9
{9, 1, 2, 3, 4, 5, 6, 7, 8}
};
// Variable used to test the cube checker
private static int[][] sudoku2 = new int[][]{
// Row 1
{ 0, 1, 2, 3, 4, 5, 6, 7, 8},
// Row 2
{10, 11, 12, 13, 14, 15, 16, 17, 18},
// Row 3
{20, 21, 22, 23, 24, 25, 26, 27, 28},
// Row 4
{30, 31, 32, 33, 34, 35, 36, 37, 38},
// Row 5
{40, 41, 42, 43, 44, 45, 46, 47, 48},
// Row 6
{50, 51, 52, 53, 54, 55, 56, 57, 58},
// Row 7
{60, 61, 62, 63, 64, 65, 66, 67, 68},
// Row 8
{70, 71, 72, 73, 74, 75, 76, 77, 78},
// Row 9
{80, 81, 82, 83, 84, 85, 86, 87, 88}
};
public static void main(String[] args) {
System.out.println("Checking sudoku");
//Assuming all the column and all the rows have the same size (Sudoku = 9x9 cube)
int rowNumber = sudoku.length;
int columnNumber = sudoku[0].length;
// Check for the rows
ROW_MAIN_FOR: for (int i = 0; i < rowNumber; i++) {
Set<Integer> content = new HashSet<Integer>();
int[] row = sudoku[i];
for (int j = 0; j < columnNumber; j++) {
content.add(row[j]);
}
if (!areContentValid(content)) {
System.out.println("The follow content is not valid. " + content);
break ROW_MAIN_FOR;
}
}
// Check for the columns.
// Get the size of the cube
COLUMN_MAIN_FOR: for (int i = 0; i < columnNumber; i++) {
Set<Integer> content = new HashSet<Integer>();
for (int j = 0; j < rowNumber; j++) {
content.add(sudoku[j][i]);
}
if (!areContentValid(content)) {
break COLUMN_MAIN_FOR;
}
}
// Checking for the cubes
// Assuming that the size of the Sudoku is multiple of 3(CUBE_SIZE)
// Prepare the data
ArrayList<HashSet<Integer>> cubes = new ArrayList<HashSet<Integer>>();
for (int i = 0; i < rowNumber; i++) {
for (int j = 0; j < columnNumber; j++) {
// The cube number is calculated based on the position of the item.
// i / CUBE_SIZE gives the entire number of the cube, without rest. This value multiply by CUBE_SIZE gives the row of the cube
// (not the row of the item). Then add j / CUBE_SIZE gives the column of the cube (not the column of the item).
int cubeNumber = (i/CUBE_SIZE)*CUBE_SIZE + (j/CUBE_SIZE);
System.out.println("The element " + i + ", " + j + " belongs to the cube " + cubeNumber);
HashSet<Integer> cube;
if (cubes.size() <= cubeNumber || cubes.get(cubeNumber) == null) {
cube = new HashSet<Integer>();
cubes.add(cubeNumber, cube);
} else {
cube = cubes.get(cubeNumber);
}
cube.add(sudoku[i][j]);
}
}
// Check them
for (int i = 0; i < cubes.size(); i++) {
HashSet<Integer> cube = cubes.get(i);
if (!areContentValid(cube)) {
System.out.println("The cube number " + i + " is not valid. It's content is " + cube);
break;
}
}
System.out.println("Check complete. The data is valid");
}
/**
* Check if the content is valid or not.
* A content is valid if for the values between 1 and 9, both incluse, the sum of them
* is the same as the sum of 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9;
*/
private static boolean areContentValid(Set<Integer> content) {
int result = 0;
for (Integer i : content) {
if (i >= 1 && i <= 9) {
result += i;
}
}
return result == ROW_SUM;
}
}
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