Java LightsOut板随机化器不可解

我正在尝试重新创建熄灯和一个棋盘随机发生器来开始游戏。当我使用boardRandomizer时，我仍然发现电路板无法求解，即使我的代码从全关闭位置启动电路板，然后使用Math.Random随机切换灯光x次

final int intBoardSize = 5;
boolean[][] boolLightState = new boolean[intBoardSize][intBoardSize];

public void boardRandomize() {


    for (int row = 0; row < intBoardSize; row++)
        for (int column = 0; column < intBoardSize; column++)
            boolLightState[row][column] = false;

    int randomRow, randomColumn;

    for (int randomCount = 0; randomCount <= 50; randomCount++) {
        randomRow = (int) (Math.random() * intBoardSize);
        randomColumn = (int) (Math.random() * intBoardSize);
        toggleLight(randomRow, randomColumn);
    }

}

public void mouseToggleLight (int x, int y) {

    for (int row = 0; row < intBoardSize; row++)
        for (int column = 0; column < intBoardSize; column++)
            if ((Math.sqrt (Math.pow ((y - intLightPosition [1][row][column] - intLightRadius), 2) + Math.pow((x - intLightPosition [0][row][column] - intLightRadius), 2))) < intLightRadius)
                toggleAdjacentLights(row, column);

}

public void toggleAdjacentLights(int row, int column) {

    toggleLight(row, column);

    if (row + 1 >= 0 && row + 1 < intBoardSize)
        toggleLight(row + 1, column);

    if (row - 1 >= 0 && row - 1 < intBoardSize)
        toggleLight(row - 1, column);

    if (column + 1 >= 0 && column + 1 < intBoardSize)
        toggleLight(row, column + 1);

    if (column - 1 >= 0 && column - 1 < intBoardSize)
        toggleLight(row, column - 1);

}

public void toggleLight(int row, int column) {

    if (boolLightState[row][column] == false) 
        boolLightState[row][column] = true;
    else
        boolLightState[row][column] = false;

    repaint();

}

final int intBoardSize=5；
boolean[][]boolLightState=新的boolean[intBoardSize][intBoardSize]；
公共空白板随机化（）{
对于（int row=0；row=0和行-1=0&&column+1=0&&column-1

您如何确定电路板无法解决？我建议记录随机发生器执行的所有步骤，然后向后执行。因为有一套解决方案已经被许多人计算出来。通过将所有灯光移动到板的底部一行，只有大约5种不同的组合可能会出现，而我不断得到不可能出现的组合。

for (int randomCount = 0; randomCount <= 50; randomCount++) {
    randomRow = (int) (Math.random() * intBoardSize);
    randomColumn = (int) (Math.random() * intBoardSize);
    toggleLight(randomRow, randomColumn);
}

for (int randomCount = 0; randomCount <= 50; randomCount++) {
    randomRow = (int) (Math.random() * intBoardSize);
    randomColumn = (int) (Math.random() * intBoardSize);
    toggleAdjacentLights(randomRow, randomColumn);
} 

import java.util.Arrays;

class Board {
    public static void main(String[] args) {
        Board board = new Board();
        boardRandomize(board);
        System.out.println(Arrays.deepToString(board.boolLightState));
    }

    public static void boardRandomize(Board board) {
        board.resetBoard();

        int randomRow, randomColumn;

        for (int randomCount = 0; randomCount <= 50; randomCount++) {
            randomRow = (int) (Math.random() * board.intBoardSize);
            randomColumn = (int) (Math.random() * board.intBoardSize);
            board.toggleAdjacentLights(randomRow, randomColumn);
        }
    }

    private final int intBoardSize = 5;
    private boolean[][] boolLightState = new boolean[intBoardSize][intBoardSize];

    public void resetBoard() {
        for (int row = 0; row < intBoardSize; row++)
            for (int column = 0; column < intBoardSize; column++)
                boolLightState[row][column] = false;
    }

    public void toggleAdjacentLights(int row, int column) {

        toggleLight(row, column);

        if (row + 1 >= 0 && row + 1 < intBoardSize)
            toggleLight(row + 1, column);

        if (row - 1 >= 0 && row - 1 < intBoardSize)
            toggleLight(row - 1, column);

        if (column + 1 >= 0 && column + 1 < intBoardSize)
            toggleLight(row, column + 1);

        if (column - 1 >= 0 && column - 1 < intBoardSize)
            toggleLight(row, column - 1);

    }

    //make private to prevent access
    private void toggleLight(int row, int column) {
        if (boolLightState[row][column] == false)
            boolLightState[row][column] = true;
        else
            boolLightState[row][column] = false;
        // all of the above can be simplified to
        // boolLightState[row][column] = !boolLightState[row][column];
        repaint();
    }
}