Please answer the question neatly, thanks!

(9 pts, 3 points each) Partition the unit interval into 6 subintervals of equal length A = [0, a B = [%, %].C = %, %]. etc... for the map 1 _ 1659 OSmSl/ f($)_{ w1/6 1/653931 (a): Draw the transition graph and describe the orbit starting at 0. (b): What periods do the periodic orbits have? (c): List all distinct itineraries of periodic orbits up to and including period 7. List the itineraries in alphabetical order (trust me. it will make it easier). Report the total number of distinct itineraries. Hint: There are more than 30 and less than 50 distinct itineraries, and all of them begin with A