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Data structures You want to plan your course schedule to graduate. You are interested in the following ten courses: CS 115, CS 116, CS 122,

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You want to plan your course schedule to graduate. You are interested in the following ten courses: CS 115, CS 116, CS 122, CS 131, CS 132, CS 126, CS 127, CS 141, CS 169, and CS 170. The course prerequisites are: CS 115- Prerequisites: none CS 116 Prerequisites: CS 115 e CS 122 Prerequisites: none CS 126 Prerequisites: CS 122, CS 132 CS 127 Prerequisites: CS 116 CS 131 Prerequisites: CS 115 CS 132 Prerequisites: CS 116, CS 131 CS 141 Prerequisites: CS 122, CS 116 CS 169 Prerequisites: CS 132 CS 170-Prerequisites: CS 132 Assume you can only take two courses at a time every semester and you would like to know what possible combinations you have to complete all courses. Draw all possible states of two courses at a time, starting with CS 115 and CS 122 on the first semester. Make sure you do not consider cases where your choice is one class only and you complete all prerequisites. (This is similar to the coin game presented on the slides.) How many different paths are possible? 4

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