Question

consider an integer array, the number of elements in which is determined by the user. the elements are also taken as input from the user. write a program to find those pair of elements that has the maximum and minimum difference among all element pairs.

Answer 1

To find pairs with the maximum and minimum differences within an integer array, find the smallest and largest numbers for maximum difference, sort the array to find pairs with minimum difference between consecutive elements.

Step-by-step explanation:

The problem presented requires writing a program to find the pair of elements within an integer array that have the maximum and minimum difference. To solve this, we must iterate over the array elements to find the smallest and largest numbers as these will yield the maximum difference. Conversely, to find the minimum difference, we must sort the array and then find the smallest difference between consecutive elements.

The following pseudo-code outlines the approach:

1. Take the number of elements (n) as input.
2. Take n integer elements as input and store them in an array.
3. Set variables for maximum and minimum differences and their respective pairs.
4. Find the maximum and minimum element in the array to determine the pair with the maximum difference.
5. Sort the array.
6. Iterate through the sorted array to find the minimum difference between consecutive elements, updating the pairs and minimum difference as necessary.
7. Output the pairs with the maximum and minimum differences.

Assuming a sorted array, the maximum difference will always be between the first and last element, while the minimum difference will be found by comparing each consecutive pair and choosing the one with the smallest difference.