When we talk about sorting in the programming paradigm, it’s considered one of the most critical operations and is often required when developing applications. In computer science, a sorting algorithm is a method used to reorganize the elements of a list in a specific order, be it numerical ascending or descending or lexicographical. In this scenario, we will be primarily focusing on the series sort problem in the realm of C programming, its workings, and how it offers efficient solutions.

#include

void sort(int array[], int n) {

for (int step = 0; step < n - 1; ++step) {
int min_idx = step;
for (int i = step + 1; i < n; ++i) {
if (array[i] < array[min_idx]) {
min_idx = i;
}
}
int temp = array[min_idx];
array[min_idx] = array[step];
array[step] = temp;
}
}
[/code]

## Explanation of the Sorting Function in C

The main principle behind the sorting algorithm used in C is often one of comparison. The process involves iterating through the array indices, comparing elements and switching them if they are in the wrong order. Looking intently into the aforementioned code, our function, sort(), coordinates this array sorting operation.

Firstly, the function starts with an outer loop running from the first element to one before the last, which you will observe from the loop expression `for (int step = 0; step < n - 1; ++step)`. It takes the first element as the smallest (`int min_idx = step`). The nested-for loop then iterates over the remaining elements in the array. If in any case it finds an element smaller than what we initially assumed (`if (array[i] < array[min_idx]`), it assigns that as the new minimum. After identifying the minimum from the list, the function proceeds to swap this minimum element with the first element, thereby holding the certainty that the first position contains the smallest element. This process repeats until all elements on the array are sorted.

## Utility Libraries and Functions in the Given Problem

The beauty of C programming lies not just in its robustness, but also the availability of libraries making it easier for coders to implement a myriad of functionalities. In our case of sorting series, we’ve used the `stdio.h` library. This library holds the functions involving input/output operations (`printf()` and `scanf()` for instance).

However, the core of this problem doesn’t rest on C’s numerous libraries but rather in the function we created, sort(). This function employs the idea of **Selection Sort**, one of the simpler forms of sorting algorithms. Its simplicity, however, doesn’t compromise its competence and reliability in the realm of sorting operations.

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