Welcome to this unit's coding session! We're going to take a deep dive into an exciting technique — the two-pointer technique. This technique is a crucial skill for enhancing your algorithmic problem-solving abilities, especially when dealing with arrays. In this unit, we'll apply this technique to a problem that involves an array of integers and a target value. Let's get started!

Imagine the problem at hand: we've been given an array of distinct integers and a target value. The task is to find all pairs of integers from the given array that sum up to the target value using the two-pointer technique. The method find_pairs should take this array of integers and a target value as parameters. It should return an array containing pairs of numbers, sorted in order from the smallest to the largest for the first element of each pair. If no pairs satisfy this requirement, the method should return an empty array.

Consider, for instance, an example where you're given an array, numbers = [1, 3, 5, 2, 8, -2], and target = 6. In this case, the method should return [[-2, 8], [1, 5]] because only these pairs from the input array of integers add up to the target value.

The naive approach to solving this problem would be to use a pair of nested loops to check each pair of numbers.

This approach would have a time complexity of (O(n^2)) and a space complexity of (O(n)). The naive approach can be time-consuming and inefficient, particularly for large arrays.

Comparatively, the two-pointer technique makes the problem-solving process more efficient by eliminating unnecessary operations (repeatedly checking pairs that can't sum to the target), thus enhancing the overall performance and efficiency of the solution.