A new old algorithm, entropy sampling, and/or getting in and out of energy minima

I propose a new algorithm, a free energy Monte Carlo algorithm, for calculations where conventional Monte Carlo simulations struggle with ergodicity problems. The simplest version of the proposed algorithm allows for the determination of the entropy function of statistical systems and/or performs entropy sampling at sufficiently large times. I also mention how this algorithm can be used to explore the system's energy space, in particular for minima.