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Describe a pipelined algorithm for performing back-substitution to solve a triangular system of equations of the form Ux = y , where the n x n unit upper-triangular matrix U is 2-D partitioned onto an n x n mesh of processes. Give an expression for the parallel run time of the algorithm. Modify the algorithm to work on fewer than n 2 processes, and derive an expression for the parallel execution time of the modified algorithm.

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