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Let A be an mxn matrix. The transpose of A is an n x m matrix A' such that for all 0 (3) = For

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Let A be an mxn matrix. The transpose of A is an n x m matrix A' such that for all 0 (3) = For this problem, you are asked to write the algorithm for transposing a matrix in CSR repre- sentation. In other words, write the pseudo-code of procedure SPARSE-TRANSPOSE(R, C, V, m, n, k) that will return arrays R', C', and V', representing the transpose of the matrix represented by R, C, and V in row major format. For example, if your procedure is called with the R, C, and V in quation (3), it should return: C' = which is the row-major representation of A' in Equation (2). Your algorithm should work in O(m +n + k) time. (Hint: The algorithm can be thought of as a generalization of COUNTING- SORT). R' = V

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