What is pseudocode?

Problem: Problem Statement

Problem 1: Find the maximum element in the following finite sequence of integers, L={7,−3,0,4,10,2}.

Pseudocode

Algorithm FindMax(L)

## Input: A list L of n integers
## Output: The maximum element in the list

## max = L[1]
## for i = 2 to length(L) do
    ## if L[i] > max then
        ## max = L[i]
## return max

1) Explanation of Pseudocode (Fill what is missing for 10 points)

1. Initialize max with the first element of the list: Assume the first element is the largest for now.

2. Loop through the rest of the elements in the list: Start from the second element and go to the end.

3. Compare each element with max: If the current element is greater than max, update max.

4. Return max: -> After the loop ends, the maximum element is the result.

2) Example Execution (Completely fill what is missing for 10 points)

Let’s go through the list using our Pseudocode L={7,−3,0,4,10,2} step-by-step:

1. Initialize max with the first element: max = 7

2. Compare -3 with max: -3 < 7 (no change)

3. Compare 0 with max: 0 < 7 (no change)

4. Compare 4 with max: 4 < 7 (no change)

5. Compare 10 with max: 10 > 7 (update max = 10)

6. Compare 2 with max: 2 < 10 (no change)

The final value of max is 10.

write the code for 70 points.

## R code from Pseudocode. Use L={7,−3,0,4,10,2} for this HW assignment 

# Initialize the list
L <- c(7, -3, 0, 4, 10, 2)


# Initialize max with the first element
max <- L[1] # sets the first value of the L list as the max, which is 7.


# Loop through the rest of the elements in the list
  # note that 'i' is the index of the entry of the place value of domain.
for (i in 2:length(L)) {
  if (L[i] > max) {
    max <- L[i] # updates the max when detected a value greater than 7.
    }
}


# Return the maximum element
max

## [1] 10

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