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This approach involves manually iterating over each element of the array using a for loop. For each element, we apply the provided function fn with the current element and its index as arguments. The result is then pushed into a new result array, which is returned at the end.
Time Complexity: O(n), where n is the number of elements in the array.
Space Complexity: O(n) for the resultant array.
1using System.Collections.Generic;
public class Program
{
    public static List<int> TransformArray(int[] arr, Func<int, int, int> fn)
    {
        List<int> result = new List<int>();
        for (int i = 0; i < arr.Length; i++)
        {
            result.Add(fn(arr[i], i));
        }
        return result;
    }
    public static void Main()
    {
        int[] arr = { 1, 2, 3 };
        List<int> result = TransformArray(arr, (n, i) => n + 1);
        Console.WriteLine(String.Join(", ", result));
    }
}The C# implementation involves a method TransformArray that applies a lambda function to each element of the input array and stores results in a list.
Another approach is to use recursion to apply the function to each element in the array. We define a recursive function that processes elements by moving from the start to the end of the array, applying transformations and constructing the result array.
Time Complexity: O(n)
Space Complexity: O(n) for result array and O(n) for function call stack.
1#include <stdio.h>
2#include <stdlib.h>
3
4void transformArrayRecursive(int* arr, int* result, int index, int size, int (*fn)(int, int)) {
5    if (index >= size) return;
6    result[index] = fn(arr[index], index);
7    transformArrayRecursive(arr, result, index + 1, size, fn);
8}
9
10int plusOne(int n, int i) {
11    return n + 1;
12}
13
14int main() {
15    int arr[] = {1, 2, 3};
16    int arrSize = sizeof(arr) / sizeof(arr[0]);
17    int* result = (int*)malloc(arrSize * sizeof(int));
18    transformArrayRecursive(arr, result, 0, arrSize, plusOne);
19    for(int i = 0; i < arrSize; i++) {
20        printf("%d ", result[i]);
21    }
22    free(result);
23    return 0;
24}In the recursive C solution, a helper function transformArrayRecursive is created. It recursively calls itself to apply the function to each element, building up the result array.