Given an array of non negative integers arr and a starting position start, determine if you can reach any index with a value equal to $0$.

When located at index i, you are allowed to jump to i + arr[i] or i - arr[i], provided that the destination index remains within the bounds of the array.

Return true if it is possible to reach any index where arr[i] equals $0$, or false otherwise.

Constraints:

• $1 \leq$ arr.length $\leq 5 \times 10^4$

• $0 \leq$ arr[i] $<$ arr.length

• $0 \leq$ start $<$ arr.length

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.