Sorting Algorithms
Working with Data Structures and manipulating data.
import random
numbers = []
for i in range(10):
numbers.append(random.randint(0,100))
print("Random List")
print(numbers)
Explore
Get into groups of 3
We will be focusing on 4 algorithms today.
We will look at the first one together, Bubble Sort
What is happening with this sort?
In your groups you will each choose to be an expert on a sorting algorithm. Merge, Selection, and Insertion. Take about 5 minutes to read about your algorithm (Geek for Geeks linked below) and be ready to explain it to your other group members.
Practice
[75, 17, 46, 80, 67, 45, 69, 79, 40, 0]
How would you sort this list with...
- Bubble Sort
- Selection Sort
Explain.
- Bubble sort: starts with first two elements and compares which is greater, waps if necessary. continues to next pair of elements and swaps if necessary. keeps comparing pairs until the end is reached. then it starts over again and compares all the pairs again. this keeps happening until one iteration through all pairs is successful without ANY swaps.- Selection Sort: start with the entire list, and then find the least value and move that to the first value. then take the subarray from the second value to the end and find the least value... continue doing this until all items are sorted.
[88, 39, 53, 39, 58, 43, 74, 81, 71, 51]
How would you sort this list with...
- Merge Sort: split into half and then sort, then start merging and sort those merges
- Insertion Sort: liek sorting cards, go through each value and insert it into the sorted subarray where it belongs.
Explain.
import nltk
import random
nltk.download('words') # Download the word list (only required once)
from nltk.corpus import words
english_words = words.words()
#print(len(english_words)) # Prints the number of words in the list
# You can now use the 'english_words' list in your code
words = []
for i in range(10):
words.append(english_words[random.randint(0,len(english_words))])
print("Random List")
print(words)
Discuss
Answer the following with your group.
- When should you use each algorithm? What makes an algorithm the right choice?
- Given the following lists...
- [0, 2, 6, 4, 8, 10] - INSERTION because then only one sort is necessary OR bubble sort OR Bubble sort because it would just swap 4 and 6
- [Elephant, Banana, Cat, Dog, Apple] - Selection sort because it finds the "least"/"first"
- [29, 13, 83, 47, 32, 78, 100, 60, 65, 15, 24, 9, 40, 68, 53, 8, 90, 58, 39, 32, 34, 91, 74, 94, 49, 87, 34, 87, 23, 17, 27, 2, 38, 58, 84, 15, 9, 46, 74, 40, 44, 8, 55, 28, 81, 92, 81, 88, 53, 38, 19, 21, 9, 54, 21, 67, 3, 41, 3, 74, 13, 71, 70, 45, 5, 36, 80, 64, 97, 86, 73, 74, 94, 79, 49, 32, 20, 68, 64, 69, 1, 77, 31, 56, 100, 80, 48, 75, 85, 93, 67, 57, 26, 56, 43, 53, 59, 28, 67, 50] - Merge sort because it's so long Select the algorithm you believe is best for each, explain.
Looking at saving time complexity! Looping through is O(N^2) Merging is N(logN)
HACKS
Provided below is a Bubble Sort Algorithm sorting a list of dictionaries based off of selected key.
Now it's time to do some coding...
Run code and then research and answer these questions...
- Is a list and/or dictionary in python considered a primitive or collection type? Why?
- Is the list passed into bubble sort "pass-by-value" or "pass-by-reference? Describe why in relation to output.
Implement new cell(s) and/or organize cells to do the following.
- Create your own list
- Use your expertise sorting algorithm (selection, insertion, merge). Note, I got my bubble sort from Geek for Geeks and made modifications. Each student in a group should have a unique algorithm.
- Test your list with my bubble sort
- Test my list with your new sort
- Research analysis on sorting:comparisons, swaps, time. Build this into your hacks. - Find a better way to print the data, key first, then other elements in viewable form.
Use the code below to help guide your adventure
"""
* Creator: Nighthawk Coding Society
Bubble Sort of a List with optimizations
"""
# bubble sorts a list of dictionaries, base off of provided key
def bubbleSort(list, key):
n = len(list) - 1 # list are indexed 0 to n-1, len is n
# Traverse through list with i index
for i in range(n):
swapped = False # optimize code, so it exits if now swaps on inner loop
# Inner traversal using j index
for j in range(n-i): # n-i as positions on right are in order in bubble
# Swap if the element KeyN is greater KeyN1
keyN = list[j].get(key)
keyN1 = list[j+1].get(key)
if keyN > keyN1:
swapped = True
list[j], list[j + 1] = list[j + 1], list[j] # single line swap
if not swapped: # if no swaps on inner pass, list is sorted
return # exit function
def insertionSort(list, key):
for i in range (1, len(list)):
keyN = list[i].get(key)
j = i-1
while j>=0:
keyN1 = list[j].get(key)
if (keyN < keyN1):
list[j+1]= list[j]
j = j-1
else:
break
list[j+1]= keyN
return
if __name__ == "__main__":
# list/dictionary sample
list_of_people = [
{"name": "Risa", "age": 18, "city": "New York"},
{"name": "John", "age": 63, "city": "Eugene"},
{"name": "Shekar", "age": 18, "city": "San Francisco"},
{"name": "Ryan", "age": 21, "city": "Los Angeles"}
]
# assuming uniform keys, pick 1st row as source of keys
key_row = list_of_people[0]
# print list as defined
print("Original")
print(list_of_people)
for key in key_row: # finds each key in the row
print(key)
bubbleSort(list_of_people, key) # sort list of people
insertionSort(list_of_people, key)
print(list_of_people)