Скачать или смотреть How to Use a Recursive Function to Maximize Your Path Sum in an Array of Arrays with JavaScript

Discover how to pass an array of arrays into a recursive function in `JavaScript` to achieve the highest possible sum while navigating through the array.
---
This video is based on the question https://stackoverflow.com/q/62302153/ asked by the user 'thatguy1155' ( https://stackoverflow.com/u/13397234/ ) and on the answer https://stackoverflow.com/a/62302500/ provided by the user 'Nina Scholz' ( https://stackoverflow.com/u/1447675/ ) at 'Stack Overflow' website. Thanks to these great users and Stackexchange community for their contributions.

Visit these links for original content and any more details, such as alternate solutions, latest updates/developments on topic, comments, revision history etc. For example, the original title of the Question was: passing an array of arrays into a recursive function in javascript

Also, Content (except music) licensed under CC BY-SA https://meta.stackexchange.com/help/l...
The original Question post is licensed under the 'CC BY-SA 4.0' ( https://creativecommons.org/licenses/... ) license, and the original Answer post is licensed under the 'CC BY-SA 4.0' ( https://creativecommons.org/licenses/... ) license.

If anything seems off to you, please feel free to write me at vlogize [AT] gmail [DOT] com.
---
Navigating an Array of Arrays Using Recursion in JavaScript

When working with multidimensional arrays in JavaScript, it can be challenging to navigate through them while trying to maximize a value based on specific movement rules. One common scenario involves starting at the top-left corner of an array of arrays and moving right or down to reach the bottom-right corner while achieving the highest possible sum. In this guide, we’ll explore how to effectively implement a recursive function to solve this problem.

Understanding the Problem

The objective here is simple yet intriguing. Given a 2D array (array of arrays), you want to traverse from the first element to the last, making decisions based solely on the numbers in front of you. Specifically, you have the following two choices at each step:

Move one space to the right.

Move one space down.

The direction you choose should depend on which number is larger, with the ultimate goal being to collect the largest sum possible by the time you reach the bottom-right corner of the array.

Example Array

Consider the following example:

[[See Video to Reveal this Text or Code Snippet]]

In this example, the optimal path that yields the highest sum is 8 -> 4 -> 3 -> 4 -> 3, which results in a total of 22.

Crafting the Recursive Function

To achieve this, we will create a recursive function that explores all possible paths from the starting point to the end of the array. Below are the steps involved in building this function.

Step 1: Define Base Cases

The base case for our recursion is crucial to controlling when to stop further recursive calls. We have two primary conditions:

Reached the bottom-right corner: If the current indices correspond to the last element of the array, return its value.

Out of bounds: If the current indices exceed the array bounds (either row or column), return 0.

Step 2: Recursive Exploration

Within the function, you will calculate the possible sums by recursively calling the function for the two potential moves (down and right). After obtaining the results, you compare the two sums and return the maximum.

Step 3: Combine the Results

Finally, as each recursive call unwinds, add the current element's value to the maximum of the two possible sums from the next positions.

Final Implementation

Here’s how the complete function looks:

[[See Video to Reveal this Text or Code Snippet]]

Conclusion

By following this structured approach, you can efficiently pass an array of arrays into a recursive function in JavaScript to explore potential paths that yield the maximum sum. This technique not only illustrates the power of recursion but also enhances your problem-solving capabilities within JavaScript and beyond.

Feel free to apply this example to your coding challenges and see how recursion can unlock new possibilities for tackling complex problems!