First, open two separate terminal connections to the same machine, so that you can easily run something in one window and the other. Now, in one window, run vmstat 1, which shows statistics about machine usage every second. Read the man page, the associated README, and any other information you need so that you can understand its output. Leave this window running vmstat for the rest of the exercises below. Now, we will run the program mem. c but with very little memory usage. This can be accomplished by typing ./mem 1 (which uses only 1 MB of memory). How do the CPU usage statistics change when running mem

Write a program that performs a simple n-body simulation, called "jumping leprechauns." this simulation involves n leprechauns, numberd 1 to n. it maintains a gold value g_i for each leprechaun i, which begins with each leprechaun starting out with a million dollars worth of gold, that is, g_i = 1000000 for each i = 1,. in addition, the simulation also maintains, for each leprachaun,i, a place on the horizon, which is represented as a double-precision floating point number, x_i. in each iteration of the simulation, the simulation processes the leprachauns in order. processing a leprachaun i during its iteration begins by computing a new place on the horizon for i, which is determined by the assignment: