The language accepted by this TM is all words with an odd number of letters that have the letter a as the middle letter. Show this is true by explaining the algorithm the machine uses and the meaning of each state. Pay attention to the two necessary parts that must always be demonstrated:

(i) Anything that has a letter a in the middle will get to HALT

(ii) Anything that gets to HALT has the letter a in the middle.

(a,a,L) 7 (b,b,LJ b,b,L) (a,a,L) (b,#,L) (a,t,L) 6 [A,AL) 4 (#,H,R) (a,a,R) (b,b,R) (a,a,R) 4 (b,b,R) 1 START (bR) . (b,b,R) a,a,R) a,H,R) (#,#,R) 4 HALT