<s>[INST] One ton of gold is available for distribution to three persons, A, B, and C. A, B, and C tell the king that they need at least one ton, half a ton, and one-quarter ton, respectively, to meet certain basic requirements of life. However, after each person's basic needs are satisfied, the remainder should be distributed among the three persons in equal parts.
a. Find the total tonnage each person gets, if one ton of gold is available.
b. If the process of distributing the remaining gold after satisfying each person's basic needs were continuous, for example, 1/10 ton, and continuously dividing the remainder by \(n\), and satisfying the needs of each successive set of person A, B, and C (denoted as ANN, BNN, CNN where \(n=1,2,3\ldots,)\), and distributing any remaining amounts in similar ratios until it runs out, what is the final amount each person gets?[/INST]