Given an array $$$A$$$ of $$$n$$$ integers, the elements are shuffled to form an array $$$B$$$.

Let the array $$$B$$$ be $$$b_0,b_1,...b_{n-1}$$$.

We define $$$f_i = b_0$$$&$$$b_1$$$&$$$... b_i$$$.

We need to find the minimum possible value of $$$\sum_{i=0}^{n-1} f_i$$$.