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Chapter 7: Problem 18

What value in an array does the selection sort algorithm look for first? When the selection sort finds this value, what does it do with it?

Short Answer

Expert verified
Answer: The Selection Sort Algorithm starts by looking for the smallest (or largest) value in the unsorted part of the array. Once found, it swaps it with the first unsorted element, effectively moving it to the end of the sorted section.

Step by step solution

01

Understand the Selection Sort Algorithm

Selection sort is a simple comparison-based sorting algorithm that works by dividing the array into two parts: the sorted part and the unsorted part. Initially, the sorted part is empty, and the unsorted part contains all the elements. The algorithm repeatedly selects the smallest (or the largest, depending on the order) element from the unsorted part and moves it to the end of the sorted part.
02

Identify the First Value Selection Sort Looks For

The Selection Sort Algorithm starts by searching for the smallest (or largest) value in the unsorted section of the array. In the case of sorting the array in ascending order, the algorithm looks for the smallest value first.
03

What Selection Sort Does With the Found Value

Once the smallest (or largest) value is found in the unsorted section of the array, the algorithm swaps the found value with the first element in the unsorted part. In other words, the found value is moved to the end of the sorted section, effectively increasing the sorted part and decreasing the unsorted part.
04

Repeat the Process

The algorithm continues to search for the smallest (or largest) value in the remaining unsorted section of the array and swaps it with the first element of that section. This process is repeated until the entire array is sorted. In summary, the selection sort algorithm starts by looking for the smallest (or largest) value in the unsorted part of the array. Once found, it swaps it with the first unsorted element in the array, effectively moving it to the end of the sorted section. This process is repeated until the entire array is sorted.

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