Do the question below in any programming language, preferably Python/C++

A circular road has N positions labeled 0 through N−1 where adjacent positions are connected to each other and position N−1 is connected to 0. M cars start at position 0 through M−1 (inclusive). A car can make a valid move by moving forward one position (or goes from N-1 to 0) if the position it is moving into is empty. At each turn, only consider cars that have a valid move available and make one of the valid moves that you choose randomly with equal probability. After T rounds, we compute the average (A) and standard deviation (S) of the position of the cars. What is the expected value of A when N=10, M=5, and T=20? What is the expected value of S when N=10, M=5, and T=20?