12 8 8 8 6 66 1722 Selection Sort Given n numbers to sort: Repeat the following n-1 times:  Mark the first unsorted number  Find the smallest unsorted.

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Presentation transcript:

Selection Sort Given n numbers to sort: Repeat the following n-1 times:  Mark the first unsorted number  Find the smallest unsorted number  Swap the marked and smallest numbers

Selection Sort Given n numbers to sort: Repeat the following n-1 times:  Mark the first unsorted number  Find the smallest unsorted number  Swap the marked and smallest numbers

Selection Sort Given n numbers to sort: Repeat the following n-1 times:  Mark the first unsorted number  Find the smallest unsorted number  Swap the marked and smallest numbers How efficient is selection sort?  In general, given n numbers to sort, it performs n 2 comparisons Why might selection sort be a good choice?  Simple to write code  Intuitive

Selection Sort Given n numbers to sort: Repeat the following n-1 times:  Mark the first unsorted number  Find the smallest unsorted number  Swap the marked and smallest numbers Try one!

Bubble Sort Given n numbers to sort: Repeat the following n-1 times:  For each pair of adjacent numbers: If the number on the left is greater than the number on the right, swap them

Bubble Sort Given n numbers to sort: Repeat the following n-1 times:  For each pair of adjacent numbers: If the number on the left is greater than the number on the right, swap them

Bubble Sort Given n numbers to sort: Repeat the following n-1 times:  For each pair of adjacent numbers: If the number on the left is greater than the number on the right, swap them How efficient is bubble sort?  In general, given n numbers to sort, it performs n 2 comparisons  The same as selection sort Is there a simple way to improve on the basic bubble sort?  Yes! Stop after going through without making any swaps  This will only help some of the time

Bubble Sort Given n numbers to sort: Repeat the following n-1 times:  For each pair of adjacent numbers: If the number on the left is greater than the number on the right, swap them Try one!

Sorting – Discussion Questions Data on elementary school students is stored sorted by the age of the student. In preparation for track and field day, you wish to sort the students by their heights. Which of the sorting methods discussed today would you use? Explain. While running a computer program to sort student exam scores using selection sort, the power goes out. Fortunately, the program was designed so it saved the scores after each swap. Just from looking at the saved scores, what information, if any, can you learn about the exam scores? Would anything change if bubble sort was used instead?