Computers and Technology, 30.03.2020 21:06 lsizzle59
Let’s consider a long, quiet country road with houses scattered very sparsely along it. (We can picture the road as a long line segment, with an eastern endpoint and a western endpoint.) Further, let’s suppose that despite the bucolic setting, the residents of all these houses are avid cell phone users. You want to place cell phone base stations at certain points along the road, so that every house is within four miles of one of the base stations. Give an efficient algorithm that achieves this goal, using as few base stations as possible. Suppose you are given this algorithm: start at the western end of the road and begin moving east until the first moment when there is a house h exactly four miles to the west. Place a base station at this point (if you go any further east without placing a base station, you would not cover h). Then delete all the houses covered by this base station and iterate this process on the remaining houses.
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Let’s consider a long, quiet country road with houses scattered very sparsely along it. (We can pict...
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