If you expected Old Faithful to erupt every hour, you would expect to wait a total of 60 * k minutes to see k eruptions. Set difference_from_expected to an array with 272 elements, where the element at index i is the absolute difference between the expected and actual total amount of waiting time to see the first i 1 eruptions.

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: