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Suppose you are asked to automate the prescription fulfillment system for a pharmacy, MailDrugs. When an order comes in, it is given as a sequence

Suppose you are asked to automate the prescription fulfillment system for a pharmacy, MailDrugs. When an order comes in, it is given as a sequence of requests, x1 ml of drug y1, x2 ml of drug y2, x3 ml of drug y3, and so on, where x1 < x2 < x3 < < xk. MailDrugs has a practically unlimited supply of n distinctly sized empty drug bottles, each specified by its capacity in milliliters (such 150 ml or 325 ml). To process a drug order, as specified above, you need to match each request, xi ml of drug yi , with the size of the smallest bottle in the inventory than can hold xi milliliters. Describe how to process such a drug order of k requests so that it can be fulfilled in O(k log(n/k)) time, assuming the bottle sizes are stored in an array, T, ordered by their capacities in milliliters.

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