Create a Python file called domino175.py. Inside this file, create and test a Domino class according to the description below. Note that the following methods form the public interface for this class - you must complete them all as specified, and cannot add additional methods to the public interface. However, you can include additional private helper methods that are only called within this class, if you wish. Domino (dotsA, dotsB) - creates a domino, where the number of dots on each end of the domino are described by the integers dotsA and dotsB. After asserting that the input parameters are valid, dotsA and dotsB should be used to initialize two private attributes: top and bottom. Both of these attributes are integers, and the top is the end with the most dots on it. A third private attribute, faceDown, should also be created which indicates if the tile is facing down (True) or facing up (False). A domino should be facing up when it is first created. setTop (dots) - updates which end of the Domino is at the top, according to the dots parameter. The integer dots must match one of the existing ends of the Domino instance (otherwise an AssertionError is raised). Nothing is returned. turnover () - updates the Domino instance so that if it was facing up, it will now be facing down. Similarly, if it was facing down, it will now be facing up. Nothing is returned. getTop () - returns the integer number of dots on the top end of the Domino instance.

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Math class and its different methods

Java math class consists of arithmetic math methods that performs basic numeric operations such as finding the maximum or minimum of two values, rounding values, logarithmic functions, square root, and trigonometric functions, etc. The Math library functions can be accessed using the header Java.lang.Math. These math methods under Java math class are for our convenience.