You start with row $1$ containing a single symbol $0$. To build row $i$ from row $i - 1$, replace every $0$ with $01$ and replace every $1$ with $10$. Given n and k, return the value of the k th symbol in row n, where k is indexed from $1$.

Note: Row n has length $2^{n - 1}$.

Constraints:

• $1 \leq$ n $\leq 30$

• $1 \leq$ k $\leq 2^{n - 1}$

Now, let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps you check if you’re solving the correct problem:

We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.

Implement your solution in the following coding playground.