y_min_limit = abs(min(0, y))
		y_max_limit = min(len(logo), len(image) - y)
		x_min_limit = abs(min(0, x))
		x_max_limit = min(len(logo[0]), len(image[0]) - x)

		for row in range(y_min_limit, y_max_limit):
			for column in range(x_min_limit, x_max_limit):
				image[row + y][column + x] = alpha * image[row + y][column + x] + (1 - alpha) * logo[row][column]