Here is the interview question prompt, presented for reference.

We have an array that model square blocks on a city street. On each block is a non-negative whole number.

Ever heard of hopscotch? Picture that as an array:

`[1, 3, 2, 2, 1]`

Now, in hopscotch, you need to jump in patterns from the start to the end of the boxes. We can model that behavior in the above array-- so we begin at the first index and see the number `1`

.

Let also assume that each integer in the array represents a maximum jump length from that index. So at index `0`

, we encounter the value `1`

, and thus can jump `1`

time to the next block. This lets us make our way over to index `1`

(which contains `3`

).

```
arr = [1, 3, 2, 2, 1]
idx 0, 1, 2, 3, 4
```

However, with numbers greater than `1`

, we don't always have to take the maximum leap. At index `1`

, since the max jump is `3`

, we can choose to jump either `1`

, `2`

, or `3`

squares (but no more than that).

**Example 1**

Following this logic, can you write an algorithm that determines if we are able to make it until the very end? In our example of `[1, 3, 2, 2, 1]`

, we can make the following moves:

`1`

leap from index`0`

to`1`

`3`

leaps that get us from index`1`

to`4`

Since we can get to index `4`

, we would return `true`

.

**Example 2**

On the other hand, here's an example that wouldn't work:

`[2, 1, 0, 1, 4]`

Regardless of whether we jump once or twice at the first element, we have to end up at index `2`

. Then, because the max jump at index `2`

is `0`

, we can never progress beyond that, and thus would return `false`

.

- Length of the array <=
`100000`

- The values of the array will be between
`0`

and`1000000000`

- Expected time complexity :
`O(n)`

- Expected space complexity :
`O(1)`

You can see the full challenge with visuals at this link.

**Challenges**
• Asked over 5 years ago by Jake from AlgoDaily

This is the main discussion thread generated for Max Leaps in Jump Game.

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