Consider the following equality:
For a given value of n (i.e., num in the problem statement), determine the values of a's and b that satisfy the equality above. The answer should be put in a vector where the first "num" entries are the values of a's and the last entry is b. There is no unique answer to each of the problems; however, you answer will be checked against the requirement.
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Test suite should make sure that the output vector has the correct length.