We will need to sort this (attached). The following function is called a Bubble Sort. Explain what the code is doing below. Then, sort each row of your matrix by using the apply and bubblesort functions. You may need to transpose the result. You can do so by using the t function. Show the R code in your answer and be sure to explain what the code is doing (in words)

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We will need to sort this (attached). The following function is called a Bubble Sort. Explain what the code is doing below.

Then, sort each row of your matrix by using the apply and bubblesort functions. You may need to transpose the result. You can do so by using the t function.

Show the R code in your answer and be sure to explain what the code is doing (in words)

The code provided is an implementation of the Bubble Sort algorithm in R. Below is the transcription of the code:

```r
bubblesort <- function(x) {
  if (length(x) < 2) return (x)

  for(last in length(x):2) {
    for(first in 1:(last - 1)) {
      if(x[first] > x[first + 1]) {
        save <- x[first]
        x[first] <- x[first + 1]
        x[first + 1] <- save
      }
    }
  }
  return (x)
}
```

### Explanation:

- **Function Definition**: 
  - `bubblesort <- function(x)`: This line defines a function named `bubblesort` that takes a single argument `x`, which is expected to be a vector.

- **Base Case**:
  - `if (length(x) < 2) return (x)`: If the length of the vector `x` is less than 2, the function will return `x` as is, since a single-element or empty vector is already sorted.

- **Outer Loop**:
  - `for(last in length(x):2)`: This loop iterates from the end of the vector to the beginning. The variable `last` represents the index from the end of the array down to 2.

- **Inner Loop**:
  - `for(first in 1:(last - 1))`: This loop iterates from the beginning of the array to the index before `last`. The variable `first` represents the current index during this pass of the sort.

- **Swapping Logic**:
  - `if(x[first] > x[first + 1])`: If the current element is greater than the next element, the two elements are swapped.
  - The swapping is done using a temporary variable `save`, which holds the value of `x[first]` during the swap:
    - `save <- x[first]`
    - `x[first] <- x[first + 1]`
    - `x[first + 1] <- save`

- **Return Statement**:
  - `return (x)`: The sorted vector is returned after the sorting is completed.

This Bubble Sort algorithm iteratively steps through the list, compares adjacent pairs of elements, and swaps them if they are in the wrong order. The process is repeated until the list is sorted.
Transcribed Image Text:The code provided is an implementation of the Bubble Sort algorithm in R. Below is the transcription of the code: ```r bubblesort <- function(x) { if (length(x) < 2) return (x) for(last in length(x):2) { for(first in 1:(last - 1)) { if(x[first] > x[first + 1]) { save <- x[first] x[first] <- x[first + 1] x[first + 1] <- save } } } return (x) } ``` ### Explanation: - **Function Definition**: - `bubblesort <- function(x)`: This line defines a function named `bubblesort` that takes a single argument `x`, which is expected to be a vector. - **Base Case**: - `if (length(x) < 2) return (x)`: If the length of the vector `x` is less than 2, the function will return `x` as is, since a single-element or empty vector is already sorted. - **Outer Loop**: - `for(last in length(x):2)`: This loop iterates from the end of the vector to the beginning. The variable `last` represents the index from the end of the array down to 2. - **Inner Loop**: - `for(first in 1:(last - 1))`: This loop iterates from the beginning of the array to the index before `last`. The variable `first` represents the current index during this pass of the sort. - **Swapping Logic**: - `if(x[first] > x[first + 1])`: If the current element is greater than the next element, the two elements are swapped. - The swapping is done using a temporary variable `save`, which holds the value of `x[first]` during the swap: - `save <- x[first]` - `x[first] <- x[first + 1]` - `x[first + 1] <- save` - **Return Statement**: - `return (x)`: The sorted vector is returned after the sorting is completed. This Bubble Sort algorithm iteratively steps through the list, compares adjacent pairs of elements, and swaps them if they are in the wrong order. The process is repeated until the list is sorted.
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