jupyter (unsaved changes) Logout File Edit View Insert Cell Kernel Widgets Help Not Trusted Python 3 (ipykernel) + 8 Run Markdown : Problem Set 1 1: Boolean Connectives Construct functions func_not, func_and, and func_or that take Boolean variables and output a single boolean variable according to the truth tables for these connectives, func_not should take one argument and func_and and func_or should take two. Obviously, this is trvial if you use the biult in python not, and, and or fucntions, so do not use them. In [ ]: 2: The Closest Square Create a function that takes as an input an integer and finds the nearest perfect square. Hint: You can round numbers with the round function, you can take the absolute value with the abs function. These can be learned about using the great resource: google In [ ]: Now, write a function that takes as an argument a list of integers and returns the same list of integers sorted by their distance to the nearest perfect square. To do this, use pythons sort by function feature, which you can read about here. As a test case, arr = [35, 27, 22, 40, 66, 81, 193, 125, 243, 782, 781, 534] should sort to [81, 35, 27, 66, 782, 22, 193,781, 40, 125, 534, 243] In [ ]: 3: Grades Write a function, final_grade_ranking that takes two inputs: a dictionary (containing students as keys and a list of grades of length n) and a set of