ZIO 2015 and ZIO 2014 doubt!

How do we solve the last question of ZIO 2014 and ZIO 2015.(Question 4 of each)
Links-

2104

2015

Please give the answers along with the explanations and proofs.

Hi

You can find ZIO 2014 and 2015 solutions here …

link text

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Happy Coding …

I know I can find the answers but I want the explanation and proof as I said in the question.