(dpv 6.2) you are going on a long trip. you start on the road at mile post 0. along the way there are n hotels, at mile posts a1 < a2 < · · · < an, where each ai is measured from the starting point. the only places you are allowed to stop are at these hotels, but you can choose which of the hotels you stop at. you must stop at the final hotel (at distance an), which is your destination. you'd really like to travel 200 miles a day, but this may not be possible (depending on the spacing of the hotels). if you travel x miles during a day, the penalty for that day is (200−x) 2 . you want to plan your trip so as to minimize the total penalty – that is, the sum, over all travel days, of the daily penalties. give an efficient algorithm that determines the optimal sequence of hotels at which to stop.

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The main part about version control is that you have a repository, which hosts files. any changes done to those files are recorded and, as such, can be reverted back. it is kind of like google drive/google docs (except not as "real-time autosave"). usually these files involve code. version control can usually record changes to files and the lines of code themselves.version control is used by developers, mainly with coding. this may include websites, software, video games, etc. it is very useful in terms of practicality and collaboration.  reverting back a previous version of a file is very useful in the coding/programming world. suppose a programmer adds in something new to a file, a code snippet or two. then he changes his mind because he does not like the feature he coded in (it does not work, inefficient, with version control, he can easily revert back the changes he made.  version control also makes it easier to collaborate. oftentimes, you can use an online, remote  repository such as github or bitbucket. a team of people  can each  connect their computers  to this repository and be synchronised with the source code.recording your changes is also for teamwork  as it tells you who did what. changes can be monitored as well.  online repositories (like  github) may also contain  features to talk about issues with the code, and you can  reference them in the changes.version control also allows you to have different versions of the same thing. there are open source projects where anyone able can contribute to the project; such collaborators are able to create a new version (a new "branch") from the master branch. in this new branch derived from the main master branch, one adds their code and such.  in time, the original developer will look at this branch; they can add all or some of those changes to the main branch if they approve.