Question
You just got hired as the IT head of a big company. Your first task is to upgrade the webserver of the company. The process
You just got hired as the IT head of a big company. Your first task is to upgrade the webserver of the company. The process involves reinstalling all of the necessary libraries (that were installed on the original server) on the new server. However, these libraries have dependencies between them. Each library that you wish to install can depend on a number of other libraries, which you need to install first. Each of those libraries can in turn have its own dependencies and so on. For example, you may need to install libraries TensorFlow, NumPy, and Matplotlib, The dependencies between the libraries indicate that (Matplotlib needs NumPy), and (TensorFlow needs Matplotlib). So you should install Numpy first, followed by Matplotlip and finally TensorFlow. While normal people might do this installation process manually, you are confident (given what you studied in CS314) that you can automate the process. In other words, your aim is to write an algorithm that generates the order by which the libraries shall be installed so that there will be no dependency problems. Write the algorithm and determine its time complexity. You can assume there are V total libraries that needs to be installed, which together have a total of E dependencies.
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