Coding in python, one the fist question please. In the implementation above, we have factored together what would have been the common part of the implementation of + and – in themethod _binary_op. The _binary_op method is a static method: it does not refer to a specific object. In this way, we can decide separatelywhat to provide to it as the left and right hand sides; this will be useful later, as we shall see. To call it, we have to refer to it via AD._binary_oprather than self._binary_op, as would be the case for a normal (object) method. Furthermore, in the _binary_op method, we do not haveaccess to self, since self refers to a specific object, while the method is generic, defined for the class.The _binary_op method combines values from its left and right operands using operator op, and the default neutral if a value is notfound. The two operands left and right are interpreted as dictionaries if they are a subclass of dict, and are interpreted as constantsotherwise.We have defined our class AD as a subclass of the dictionary class dict. This enables us to apply to an AD all the methods that are defined fora dictionary, which is really quite handy.[] d1 = AD()d1['red'] - 2print(d1)d2 = AD({'blue': 4, 'green': 5})print(d2)In the code above, note how we can write d1['red']: our ability to access ADs via the square-bracket notation is due to the fact that ADs, likedictionaries, implement the getitem method. Note also that AD inherits from dict even the initializer methods, so that we can pass to ourdictionary another dictionary, and obtain an AD that contains a copy of that dictionary.We can see that addition and subtraction also work:[] print(AD(red-2, green-3) + AD(red-1, blue-4))print(AD(red=2, green=3)- AD(red=1, blue-4))We let multiplication and division to you to implement. You need to implement the operators:multruediv__floordiv[] ### Question 1: Implement multiplication and division# Define _mul_def ad_mul(self, other):# YOUR CODE HEREAD._mul_ = ad_mul# Define below _truediv_, similarly.# YOUR CODE HERE# And finally, define below _floordiv_, for INTEGER division.# YOUR CODE HEREWe will let you also implement max_items and min_items properties. The value of these properties should be a pair, consisting of themaximum/minimum value, and of theDe a set, because there are multiple key, value pairs - Arithmetic DictionariesAt the core of our sock drawer implementation is a fundamental data structure which, for some reason, does not come standard inprogramming languages: a dictionary that has numerical values (and arbitrary keys).A number is a number. An array, or vector, is a list of numbers that can be indexed by their position in the vector. An arithmetic dictionary is a setof numbers that can be addressed by their associated key. Just as numbers, and arrays, can be combined via +, -, *, /, and compared with ,

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Coding in python, one the fist question please. In the implementation above, we have factored together what would have been the common part of the implementation of + and – in themethod _binary_op. The _binary_op method is a static method: it does not refer to a specific object. In this way, we can decide separatelywhat to provide to it as the left and right hand sides; this will be useful later, as we shall see. To call it, we have to refer to it via AD._binary_oprather than self._binary_op, as would be the case for a normal (object) method. Furthermore, in the _binary_op method, we do not haveaccess to self, since self refers to a specific object, while the method is generic, defined for the class.The _binary_op method combines values from its left and right operands using operator op, and the default neutral if a value is notfound. The two operands left and right are interpreted as dictionaries if they are a subclass of dict, and are interpreted as constantsotherwise.We have defined our class AD as a subclass of the dictionary class dict. This enables us to apply to an AD all the methods that are defined fora dictionary, which is really quite handy.[] d1 = AD()d1['red'] - 2print(d1)d2 = AD({'blue': 4, 'green': 5})print(d2)In the code above, note how we can write d1['red']: our ability to access ADs via the square-bracket notation is due to the fact that ADs, likedictionaries, implement the getitem method. Note also that AD inherits from dict even the initializer methods, so that we can pass to ourdictionary another dictionary, and obtain an AD that contains a copy of that dictionary.We can see that addition and subtraction also work:[] print(AD(red-2, green-3) + AD(red-1, blue-4))print(AD(red=2, green=3)- AD(red=1, blue-4))We let multiplication and division to you to implement. You need to implement the operators:multruediv__floordiv[] ### Question 1: Implement multiplication and division# Define _mul_def ad_mul(self, other):# YOUR CODE HEREAD._mul_ = ad_mul# Define below _truediv_, similarly.# YOUR CODE HERE# And finally, define below _floordiv_, for INTEGER division.# YOUR CODE HEREWe will let you also implement max_items and min_items properties. The value of these properties should be a pair, consisting of themaximum/minimum value, and of theDe a set, because there are multiple key, value pairs - Arithmetic DictionariesAt the core of our sock drawer implementation is a fundamental data structure which, for some reason, does not come standard inprogramming languages: a dictionary that has numerical values (and arbitrary keys).A number is a number. An array, or vector, is a list of numbers that can be indexed by their position in the vector. An arithmetic dictionary is a setof numbers that can be addressed by their associated key. Just as numbers, and arrays, can be combined via +, -, *, /, and compared with >, <,etc, so can arithmetic dictionaries. Let us start defining them. For brevity, we call them simply AD rather than ArithmeticDictionary. We note thatPython includes, in the collections module, the Counter class, which supports addition. ADs are a more general version of the Counter class,as they support (or you can make them to support) all math operations you wish.In Python, to be able to have two ADs d1 and d2 and compute their sum via the syntax d1 + d2 , we need to define theLadd operation, andsimilarly for the other arithmetic operations.There is a fine point to be discussed. Arrays can be combined with arithmetical operations only when they are of the same dimensions, or whenone can be &#34;broadcast&#34; to fit the dimension of the other. For dictionaries, however, the restriction to be able to combine only arithmeticdictionaries with the same keys would be too restrictive. If we have an AD d representing a sock drawer, and we want to add to it one yellowand two blue socks, we want to be able to write something like:d +- AD({'yellow': 1, 'blue': 2})rather than worry that d might have different keys from {yellow', 'blue'}. Thus, in the definition of an operation, we will need to define suitabledefaults for the missing values. In general, the suitable defaults are the neutral elements with respect to the operation: 0 for + and –, and 1 forX and /.Let us begin from addition and subtraction.[] class AD(dict):init_(self, *args, **kwargs):&#34;&#34;&#34;This initializer simply passes all arguments to dict, so thatwe can create an AD with the same ease with which we can createdefThere is no need, indeed, to repeat the initializer,but we leave it here in case we like to create attributes specifica dict.of an AD later.&#34;&#34;&#34;super ()._init_(*args, **kwargs)defadd_(self, other):return AD._binary_op(self, other, lambda x, y: x + y, e)def _sub_(self, other):return AD._binary_op(self, other, lambda x, y: x y, e)@staticmethoddef _binary_op(left, right, op, neutral):r = AD()1_keys = set(left.keys()) if isinstance (left, dict) else set()r_keys%3Dset (right.keys(0) if isinstance(right, dict) else set()%3Dfor k in l_keys | r_keys:# If the right (or left) element is a dictionary (or an AD),# we get the elements from the dictionary; else we use the right# or left value itself. This implements a sort of dictionary# broadcasting.1_val = left.get(k, neutral) if isinstance(left, dict) else leftr_val =r[k] = op(1_val, r_val)right.get(k, neutral) if isinstance(right, dict) else rightreturn r

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