3. (10 points) Consider the language L- uw | u and w are strings over 0,1) and have the same number of 1s) from this week's individual homework) (a) Prove that L = (E {0, l)' I u has an even number of ls), and that L is a regular set. (b) Prove that the language Luu and w are strings over {1 and have the same length) is not regular