def is_diagonal(width, tile):
    """
    This function determines if a given tile is along
    the diagonal of the square grid.
    Assuming the tile numbers starting at the top-left corner
    are 1, 2, 3, ..., 49

    :param width: width of a square grid
    :type width: int
    :param tile: tile to check if it is along the diagonal of the grid
    :type tile: int
    :return: True - a tile is along diagonal, False - otherwise
    :rtype: bool
    """
    row = (tile - 1) // width
    col = (tile - 1) % width

    #############
    # the following lines of code are to show alternative ways to write code

    # if row == col:
    #     return True
    # else:
    #     return False

    return row == col


def is_edge(width, height, tile):
    """
    This function determines if a given tile is on the edge of a grid.
    Assuming the tile numbers starting at the top-left corner
    are 1, 2, 3, ..., 49

    :param width: width of a grid
    :type width: int
    :param height: height of a grid
    :type height: int
    :param tile: tile to check if it is on the edge
    :type tile: int
    :return: True - a tile is on the edge, False - otherwise
    :rtype:
    """

    row = (tile - 1) // width
    col = (tile - 1) % width

    #############
    # the following lines of code are to show alternative ways to write code

    # if row == 0 or row == height - 1:
    #     return True
    # if col == 0 or col == width - 1:
    #     return True
    #
    # return False

    # alternative way to write code
    # if (row == 0 or row == height - 1) or (col == 0 or col == width -1 ):
    #     return True
    # return False



    return (row == 0 or row == height - 1) or (col == 0 or col == width - 1)











def is_middle(width, height, tile):
    """
    This function determines if a given tile is in the middle row of the grid.

    :param width: width of a grid
    :param height: height of a grid
    :param tile: tile to check if it is in the middle
    :return: True - a tile is in the middle, False - otherwise
    """

    row = (tile - 1) // width






def is_corner():








print(is_diagonal(7, 24))
print(is_diagonal(7, 25))

print(is_edge(7, 8, 4))
print(is_edge(7, 8, 36))
print(is_edge(7, 8, 23))

print(is_middle(7, 8, 23))
print(is_middle(7, 8, 35))
print(is_middle(7, 8, 20))
print(is_middle(7, 7, 24))
print(is_middle(7, 7, 19))
print(is_middle(7, 7, 32))