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Only for first 4 functions. I believe it should be linear, linear, linear and quadratic

It is pset7 from 2008. You only need to determine the rate of growth for the first 4 functions. As i said I got linear, linear, linear and quadratic for the forth. However, I found answers on the web which says that all of them are linear. I have attached the PDF file of the assignment. I would need confirmation/explanation for the 4th function.
Why quadratic for the fourth function? My logic is that to make s1 it takes linear time and then we have to loop through each element in s1 so it is again linear. Two linear times should give quadratic.