Equal Balances

The company Alco works in has accounts in N different banks. Assume the banks to be placed on a single line, unit length apart. The ith bank account contains a balance of Ai. A transaction of x units from bank i to bank j can be made if bank i has sufficient balance (i.e., the balance of bank account i is greater than or equal to x), and the cost of such a transaction will be x*d, where d is the