Consider a drip irrigation system, which is an irrigation method that saves water and fertilizer by allowing water to drip slowly to the roots of plants. Suppose that the locations of all drippers are given to us in terms of their d coordinates (x, y). Also, we are given locations of plants specified by their p coordinates (x, y). A dripper can only provide water to plants within distance L. A single dripper can provide water to no more than n plants. However, we recently got some funding to upgrade our system with which we bought k monster drippers, which can provide water supply to three times the number of plants compared to standard drippers. So, we now have i standard drippers and k monster drippers.
Given the locations of the plants and drippers, as well as the parameters L and n, decide whether every plant can be watered simultaneously by a dripper, subject to the above-mentioned constraints. Justify carefully that your algorithm is correct.