Algorithm for Summing Even Integers in a List

Pseudocode for Summing Even Numbers in a List

Objective

Develop an algorithm that calculates the sum of all even numbers present in a list of integers.

Inputs

• A list of integers (e.g., list_of_integers)

Outputs

• A single integer representing the sum of all even numbers.

Algorithm Steps

1. Initialize Variables

   • Create a variable sum_of_evens and set it to 0.

2. Iterate Through the List

   • For each integer number in list_of_integers:
     1. Check if Number is Even
        • If number % 2 is equal to 0:
          1. Add to Sum
             • Add number to sum_of_evens.

3. Return the Result

   • Output the value of sum_of_evens.

Pseudocode

FUNCTION sumEvenNumbers(list_of_integers):
    DECLARE sum_of_evens AS Integer
    SET sum_of_evens TO 0

    FOR EACH number IN list_of_integers:
        IF number MOD 2 EQUALS 0 THEN:
            sum_of_evens = sum_of_evens + number

    RETURN sum_of_evens

Explanation

• Initialization: The variable sum_of_evens is initialized to 0 to hold the cumulative sum of even integers.
• Iteration: A loop checks each integer to determine if it is even using the modulus operator (MOD).
• Cumulative Sum: If the integer is even, it adds that value to the cumulative sum.
• Output: Finally, the algorithm returns the total sum of even numbers.

Considerations

• This algorithm runs in O(n) time complexity, where n is the number of integers in the list.
• Ensure proper handling of empty lists, which will return a sum of 0.

Note

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