Sum Array Puzzle

Slug: sum-array-puzzle Difficulty: Basic Id: 700931 Topic Tags: Arrays, Mathematical, Data Structures, Algorithms Company Tags: None

Summary

The Sum Array Puzzle is a basic algorithm problem that involves finding the sum of all array elements. Given an array of integers, you need to write a program that calculates the total sum of all elements in the array. This problem requires understanding of basic mathematical operations and array manipulation.

Detailed Explanation

To solve this problem, we can use a simple iterative approach. We will initialize a variable sum to 0 and then iterate through each element in the array, adding it to our running total. Finally, we return the calculated sum.

Here's a step-by-step breakdown of the solution:

1. Initialize a variable sum to 0.
2. Iterate through each element in the array.
3. For each element, add its value to the sum.
4. Return the final value of sum.

The time complexity of this algorithm is O(n), where n is the number of elements in the array. This is because we are iterating through each element once.

The space complexity is O(1), as we are only using a constant amount of space to store our running total.

Here's an example diagram illustrating the process:

sum = 0
array = [1, 2, 3, 4, 5]
for each element in array:
    sum += element
return sum

initially: sum = 0
after adding 1: sum = 1
after adding 2: sum = 3
after adding 3: sum = 6
after adding 4: sum = 10
after adding 5: sum = 15

Optimized Solutions

Java