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Design a program that illustrates the influence of virtual memory management on execution. Specifically, for a computer platform that uses VMM, determine the size of the active memory set and the access characteristics of the components involved in the VMM (size of page, access times, etc.). Then write a synthetic program that uses a relatively small amount of data for extensive computations. In more detail, if the size of the active memory set is M, have your program load a data set of size C into the cache and carry out a number of operations (involving this data set) that is several orders larger than C. Determine and plot the timings for C =0.5 M, 0.6 M, 0.7 M, 0.8 M, 0.9 M, 0.95 M, 0.99 M, 1.0 M, 1.01 M, 1.1 M, 1.5 M, 2 M, 5 M, 10M, 1nd 50 M. Pay attention to the replacement policy of the VMM and structure your computations so that you can be certain that thrashing occurs for C > M