Josephus

Brute Force Modeling is a technique used to solve problems by tabulating results in hopes of finding a pattern by induction. The pattern or formula is then normally used as the basis for solving the problem thru iteration or recursion.

Let's take the Josephus Problem, where he (Josephus) and 40 other soldiers decided to choose mass suicide over capture by arranging themselves in a circle and killing the kth person in the circle. The problem of Josephus is where to sit in the circle such that he is the last to die (or escape).