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This approach simply involves directly iterating through the elements of the array using a loop, starting with the initial value. For each element, apply the reducer function and update the accumulated result. This approach mimics the behavior of the JavaScript Array.reduce method.
Time Complexity: O(n), where n is the number of elements in the array because we loop through each element once.
Space Complexity: O(1), as we use only a fixed amount of additional space.
This Python implementation defines a reduce function that iterates through the list nums, applying the provided function fn to the accumulated result. The sum_fn helper function adds two numbers.
This approach employs a recursive strategy to apply the reducer function on each element of the array. By defining a base case for the recursion (i.e., an empty array returns the initial value), the recursion continues until all elements are processed. Care must be taken with recursion due to stack size limitations for large inputs.
Time Complexity: O(n), for traversing each element.
Space Complexity: O(n), due to recursion stack consumption.
1using System;
2
3public class ArrayReducerRecursive {
4 public static int ReduceRecursive(int[] nums, int index, Func<int, int, int> fn, int init) {
5 if (index == nums.Length) return init;
6 return fn(ReduceRecursive(nums, index + 1, fn, init), nums[index]);
7 }
8
9 public static int Sum(int accum, int curr) {
10 return accum + curr;
11 }
12
13 public static void Main() {
14 int[] nums = {1, 2, 3, 4};
15 int init = 0;
16 int result = ReduceRecursive(nums, 0, Sum, init);
17 Console.WriteLine(result);
18 }
19}This C# recursive approach initializes with the beginning of the array and progresses recursively. A similar logic applies as seen in other languages, with recursion reducing the problem size.