Как я могу вернуться с неверного пути в алгоритме Maze Solving? (Java)

Question

Я пытался создать алгоритм решения лабиринта в java. Я пытался сделать это с помощью возвратной рекурсии. Вот мой код:

public static boolean solver(String[][] maze, int i, int j){
    display(maze);//prints maze
    System.out.println();
    maze[i][j] = "*";
    if(maze[i][j+1] == "E" || maze[i][j-1] == "E" || maze[i+1][j] == "E" || maze[i-1][j] == "E")
        display(maze);
    else if(maze[i][j+1] != " " && maze[i][j-1] != " " && maze[i+1][j] != " " && maze[i-1][j] != " "){
        maze[i][j] = " ";
        return false;
    }
    if(maze[i][j+1] == " ")
        if(!solver(maze,i,j+1))
            maze[i][j] = " ";
    if(maze[i][j-1] == " ")
        if(!solver(maze,i,j-1))
            maze[i][j] = " ";
    if(maze[i+1][j] == " ")
        if(!solver(maze,i+1,j))
            maze[i][j] = " ";
    if(maze[i-1][j] == " ")
        if(!solver(maze,i-1,j))
            maze[i][j] = " ";
    return true;
}

и вот основной метод:

String[][] maze = {{"#","S","#","#","#","#","#","#","#","#","#","#","#"},
                   {"#"," "," "," "," "," ","#"," "," "," "," "," ","#"},
                   {"#"," ","#","#","#","#","#"," ","#","#","#"," ","#"},
                   {"#"," "," "," "," "," ","#"," ","#"," ","#"," ","#"},
                   {"#"," ","#","#","#"," ","#"," ","#"," ","#"," ","#"},
                   {"#"," "," "," ","#"," ","#"," "," "," ","#"," ","#"},
                   {"#"," "," "," ","#"," ","#"," "," "," ","#"," ","#"},
                   {"#"," ","#"," ","#"," "," "," "," "," "," "," ","#"},
                   {"#","#","#"," ","#","#","#","#","#","#","#","#","#"},
                   {"#"," "," "," ","#"," "," "," "," "," "," "," ","#"},
                   {"#"," ","#","#","#"," ","#","#","#","#","#"," ","#"},
                   {"#"," "," "," "," "," ","#"," "," "," "," "," ","#"},
                   {"#","#","#","#","#","#","#","#","#","#","#","E","#"}};
solver(maze,1,1);

Этот алгоритм может решить лабиринт, но есть ошибка в этом коде, и я не смог ее исправить.

Вывод:

#S###########
#*****#     #
# ##### ### #
#     # # # #
# ### # # # #
#   # #   # #
#   # #   # #
# # #       #
### #########
#   #       #
# ### ##### #
#     #     #
###########E#

#S###########
#***  #     #
#*##### ### #
#     # # # #
# ### # # # #
#   # #   # #
#   # #   # #
# # #       #
### #########
#   #       #
# ### ##### #
#     #     #
###########E#

Как вы можете видеть, это происходит таким образом, но при возврате не удаляет звезды правильно.

Как я могу решить эту ошибку?