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ll blh log n) Problem 3. Foran n that is a power of 2, the n nWeirdo miatrix w, is defined as follows. For n = 1, W = [1]. For n > 1, w, is defined inductively byl , 2 where 4 denotes the k k identity matrix. For example, 1 -1 1 1 -1 1 ,1 -1 1 011 -1 0 -1 1 0 1 1 10 -1 -1 -1 1 0 00 1 -1 1 1 111 | Wi=1101-1 1 1 -1 wa = 111 W41 01 -1 0 01 0 1 01-1 Give O'n log n)-tine algorithu that computes the product W. t., where t is a vector af length n and n is a power of 2. ., where r is a vector of t arr giyen two sorted arrays of integers A and B of size m and n re