Let the set S for concatenating binary string be defined recursively by Basis: , 1 S Recursion: If w ES then Ow ES and w0 S. The following diagram is not a proper representation of 4 recursive calls. w Ow 07-0 equal True O False 00 20-0 00 Initial Condition W-WO Apply recursive step 000 000 w Ow Apply recursive step Apply recursive step 001 01 010 010 W wo 10 100 0001 (0010 0010) (0100 0100 1000 Exercise 2 (35 points) A Recursive TREE-MINIMUM(x) TREE-MINIMUM(s). 1) Write a recursive version of 2) Analyze the time complexity of recursive version and compare it with the iterative version's. 3) Analyze the space complexity of recursive version and compare it with the iterative version's.