Write a function, stringify_digit that takes a single digit (integer) and returns the corresponding digit as a string. For example, stringify_digit(9) returns "9" and stringify_digit(0) returns "0". You may assume that only the digits 0 to 9 will be passed in as arguments to your function. You may not use the str() function for this function.

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: