Banks (Fibonacci's money problem)

Fibonacci's money problem involves a scenario where a person wants to divide a certain number of coins between two locations, with the goal of balancing the amounts according to a specific pattern. The challenge is to determine how many coins to transfer to achieve this balance, considering the ratios derived from Fibonacci numbers. Essentially, it models how to evenly distribute resources following Fibonacci-related proportions, illustrating principles of efficient resource allocation and growth patterns. The problem is a mathematical exploration of distribution influenced by the Fibonacci sequence, with applications in areas like economics, nature, and algorithm design.