Q1 - defines the list node that contains an element...

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Question 1. Sparse Vectors In mathematics, a vector is simply a list of numbers, e.g., [13.4, 14.5, 12.2]. In many applications, vectors are sparse, that is, they contain mainly 0 elements, e.g., [0 0 0 0 13.4 0 0 14.5 0 0 0 12.2]. It is inefficient to represent such vectors as regular arrays. Instead, we consider a data structure that only represents data values that are non-zero. It will do this by maintaining both the value and the one-based position of each value in the vector. Thus the previous vector can be represented as [(5, 13.4), (8, 14.5), (12, 12.2)]. We will represent this data structure as a singly-linked list, with elements containing both position indices and values. The files below define 4 classes to support this data structure. SparseNumericElement defines the data element containing both position index and value. SparseNumericNode
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Unformatted text preview: defines the list node that contains an element SparseNumericIterator defines an iterator for the vector of elements SparseNumericVector defines the vector using the above supporting classes. All of the code in the first 3 classes is provided. The only class you need to change and submit is SparseNumericVector . Here you need only add the code for 3 of the methods: add : add an element to the vector remove : remove an element from the vector project : take the inner (dot) product of the vector with another vector passed as an argument. This method should run in O(m+n) time , where m and n are the number of non-zero elements in each vector. Here is a test program testSparseNumericVector that provides a few test cases. You should, however, test your program using a broader range of test cases. Pay particular attention to boundary conditions....
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Q1 - defines the list node that contains an element...

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