In a hypothetical system, it takes 1 second to perform a context switch. As an Operating System designer, you are asked to decide on a reasonable time slice (quantum): 1- What design goals, tradeoffs and competing factors should be taken into consideration? 2- Explain advantages, disadvantages and issues that may arise using a time slice of 100 seconds versus a time slice of 1 second.

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: