Guessing Game

**This is an interactive problem. Incase you are new to interactive problems, take a look at this [link](https://discuss.codechef.com/t/interactive-problems-and-the-way-to-deal-with-them/21185).** Alice and Bob are playing a game. Initially, Alice has a hidden integer $x$; Bob only knows an integer $N$ such that $1 \le x \le N$ and he has to find $x$ by asking questions. In each question, Bob m