$\small \textbf{Some personal comments:}$ We were given this amazing problem in an exam of the SSC camp. I enjoyed every minute I spent to solve it, albeit it took considerably long time. I can never recall a problem that I have solved in the very last week. But my brain still remembers this one! This proves how much it liked this problem.
![Smile :)](./images/smilies/icon_e_smile.gif)