input: Write a function to implement an object-oriented structure to solve a maze in Python. The function should initialize a `Maze` class with dimensions `n` and `m`, and provide methods to solve the maze and find a path from the start to the end of the maze. If the maze can be solved, the function should return the path represented as a list of values, where each value indicates the number of steps taken to reach the end from the start. If the maze cannot be solved, the function should return an empty list.
  
  
  class Maze:
      def __init__(self, n, m):
          self._n, self._m = n, m
          self._grid = [[None] * m for _ in range(n)]
  
      def solve_maze(self):
          result, found = [], False
          start, end = (0, 0), (self._n-1, self._m-1)
  
          for i in range(self._n):
              for j in range(self._m):
                  if self._grid[i][j] == 1:
                      value = 0
                      self._find_omega(i, j, value, result, start, end,
                                       found)
                      return result
  
      def _find_omega(self, i, j, value,
                      result, start, end, found):
          rowNbr, colNbr = [-1, 0, 0, 1], [0, -1, 1, 0]
  
          if (i, j) == end:
              found = True
              result.append(value)
              return
  
          if found == True:
              return
  
          self._grid[i][j] = 0
          for k in range(4):
              if self._on_board(i + rowNbr[k], j + colNbr[k]):
                  self._find_omega(i + rowNbr[k], j + colNbr[k],
                                   value + 1, result,
                                   start, end, found)
  
      def _on_board(self, i, j):
          return 0 <= i < self._n and 0 <= j < self._m and self._grid[i][j] == 1
  
  
  assert Maze(3, 3)._grid == [[None, None, None], [None, None, None], [None, None, None]]
  assert Maze(3, 3).solve_maze() == []
  assert Maze(3, 3)._grid == [[0, 0, 0], [0, 0, 0], [0, 0, 0]]
output: 
  class Maze:
      def __init__(self, n, m):
          self._n, self._m = n, m
          self._grid = [[None] * m for _ in range(n)]
  
      def solve_maze(self):
          result, found = [], False
          start, end = (0, 0), (self._n-1, self._m-1)
  
          for i in range(self._n):
              for j in range(self._m):
                  if self._grid[i][j] == 1:
                      value = 0
                      self._find_omega(i, j, value, result, start, end,
                                       found)
                      return result
          return []
  
      def _find_omega(self, i, j, value,
                      result, start, end, found):
          rowNbr, colNbr = [-1, 0, 0, 1], [0, -1, 1, 0]
  
          if (i, j) == end:
              found = True
              result.append(value)
              return
  
          if found == True:
              return
  
          self._grid[i][j] = 0
          for k in range(4):
              if self._on_board(i + rowNbr[k], j + colNbr[k]):
                  self._find_omega(i + rowNbr[k], j + colNbr[k],
                                   value + 1, result,
                                   start, end, found)
  
      def _on_board(self, i, j):
          return 0 <= i < self._n and 0 <= j < self._m and self._grid[i][j] == 1
  