1. Implement a Python function that accepts an positive integer and returns a list of strings that resembles binary counting starting from zero up to the input number. A non-positive input integer must return an empty list. In [ ] : 1SAMPLETEST,DONOTMODIFY,JUSTEXECUTEONLYFOROUTPUTbinarycounter(1e) 2. A palindrome is a word, number, phrase, or other sequence of characters which reads the same backward as forward such as the number 108801. Write a Python function that accepts either an integer or string and returns a tuple consisting of two possible palindromes that can be made from the input sequence. 3. A function is required to generate a list of pairs (x,y), each representing the coordinates of the vertices of a regular convex polygon inscribed in a circle of radius r. The arguments supplied to the function are the number of sides the polygon n and the radius of the circumscribing circle r. mplement such a function in Python, returning a list of coordinates as tuples. Assume that the first vertex of the polygon must lie on the x-axis. The pairs must be ordered in counterclockwise fashion. Use the round() function to round to three decimal places only. In [ ] : In [ ] : 1 = SAMPLE TEST, DO NOT MODIFY, JUST EXECUTE ONLY FOR OUTPUT polygonvertices (4,2)