Write a class definition of a class named 'value' with the following: a constructor accepting a single integer parameter a constructor with no parameters a method 'setval' that accepts a single parameter, a boolean method, 'wasmodified' that returns true if setval was ever called for the object. a method 'getval' that returns an integer value as follows: if setval has ever been called, it getval returns the last value passed to setval. otherwise if the "single int parameter" constructor was used to create the object, getval returns the value passed to that constructor. otherwise getval returns 0.

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: