Is it (k)th smallest element (distict integers)
or the element at position k, when both are merged?

11111111111111113333333345555555555555556666666666666677799999999999999999999 
--> Is 3rd smallest element '1' or '4'

If four, I am not able to think of a log complexity. Can u post your 
recursive solution only if u meant '4' in above case.

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