Write a program to implement the simplest version of the Ant Algorithms using the exponential decrease of pheromone concentration $\backslash$phi $($i$)=\backslash$phi $0$ exp$(-\backslash$alpha t$)$ due to evaporation. Investigate the parameter sensitivity of $\backslash$alpha $>0$ and its effect on the rate of convergence.

Use the program to solve a simple version of the traveling salesman problem by visiting n $=10$ cities of your favorite cities so as to minimize the overall distance traveled.