zoukankan      html  css  js  c++  java
  • Sudoku Solver

    Write a program to solve a Sudoku puzzle by filling the empty cells.

    Empty cells are indicated by the character '.'.

    You may assume that there will be only one unique solution.

    A sudoku puzzle...

    Thoughts:

    1.write a backtracking recursive method to attemp to fill out every possible number into the empty board, if the number is not valid, return false and keep recursively filling out other numbers till the first possibly results come up.

    2. write a generic function to validdate the input position of number.

    Code:

    private static final int[] mask = new int[]{0,1,2,4,8,16,32,64,128,256};
    public void solveSudoku(char[][] board) {
    List<byte[]> avPoints = new ArrayList<byte[]>();
    for (byte i=0;i<board.length;i++){
    for (byte j=0;j<board.length;j++){
    if (board[i][j] == '.'){
    avPoints.add(new byte[]{i,j});
    }
    }
    }
    solve(board, avPoints);
    }
    private boolean solve(char[][] board, List<byte[]> points){  // recursive function
    if (points.isEmpty()){
    return true;
    }
    byte[] point = points.remove(points.size()-1); //remove at the end for speed
    int notAvailable = getNotAvailable(point, board);
    for (int i=1;i<=9;i++){
    if ((notAvailable&mask[i]) == 0){//number is available
    board[point[0]][point[1]] = (char)('0' + i);
    if (solve(board, points)){
    return true; //unwind
    }
    board[point[0]][point[1]] = '.'; //backtrack
    }
    }
    points.add(point); //backtrack
    return false;
    }
    private int getNotAvailable(byte[] point, char[][] board){    // Validation fucntion
    int result = 0;
    int x1 = 3*(point[0]/3);
    int y1 = 3*(point[1]/3);
    for (int m=0;m<9;m++){
    if (board[point[0]][m]!='.'){
    result|=mask[board[point[0]][m]-'0'];
    }
    if (board[m][point[1]]!='.'){
    result|=mask[board[m][point[1]]-'0'];
    }
    int xBox=x1 + m/3;
    int yBox=y1 + m%3;
    if(board[xBox][yBox]!='.'){
    result|=mask[board[xBox][yBox]-'0'];
    }
    }
    return result;
    }


  • 相关阅读:
    java线程系列---Runnable和Thread的区别 (转载)
    JAVA基础(多线程Thread和Runnable的使用区别(转载)
    error: undefined reference to 'property_set (转载)
    Django基本命令
    第三篇数据库与ORM
    PyCharm下创建并运行我们的第一个Django项目
    第二篇MTV模型、基本命令、简单配置
    第一篇web框架
    Django框架全面讲解
    MySQL的异常问题
  • 原文地址:https://www.cnblogs.com/midan/p/4572630.html
Copyright © 2011-2022 走看看