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Apprendre Insertion Sort | Simple Algorithms
Sorting Algorithms
course content

Contenu du cours

Sorting Algorithms

Sorting Algorithms

1. Simple Algorithms
2. Divide and Conquer Algorithms
3. Problems

book
Insertion Sort

Insertion Sort is another simple sort algorithm that works with sorted and unsorted parts of an array. Values from unsorted part picked and placed to correct position in sorted part.

Example1

Example 2

[4 | 3 2 10 12 1 4 6] -> [3 4 | 2 10 12 1 4 6]

[3 4 | 2 10 12 1 4 6] -> [2 3 4 | 10 12 1 4 6]

[2 3 4 | 10 12 1 4 6]-> [2 3 4 10 | 12 1 4 6]

[2 3 4 10 | 12 1 4 6] -> [2 3 4 10 12 | 1 4 6]

[2 3 4 10 12 | 1 4 6] -> [1 2 3 4 10 12 | 4 6]

[1 2 3 4 10 12 | 4 6] -> [1 2 3 4 4 10 12 | 6]

[1 2 3 4 4 10 12 | 6] -> [1 2 3 4 4 6 10 12]

Time complexity is O(N^2), because each next element of an unsorted part iterates through elements of the sorted part. There are two nested loops in the algorithm.

Space complexity: O(1).

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def insertionSort(arr): # Iterate unsorted subarrays for i in range(1, len(arr)): key = arr[i] # Element to move j = i-1 # Iterate sorted part and replace elements one position right while j>=0 and key < arr[j]: arr[j+1] = arr[j] j-=1 # Put key element on its position arr[j+1]= key return arr
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Tâche

Swipe to start coding

Use the insertionSort() function to sort an array. You can either use the existing function or implement it yourself. Output the sorted array.

Solution

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Section 1. Chapitre 4
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book
Insertion Sort

Insertion Sort is another simple sort algorithm that works with sorted and unsorted parts of an array. Values from unsorted part picked and placed to correct position in sorted part.

Example1

Example 2

[4 | 3 2 10 12 1 4 6] -> [3 4 | 2 10 12 1 4 6]

[3 4 | 2 10 12 1 4 6] -> [2 3 4 | 10 12 1 4 6]

[2 3 4 | 10 12 1 4 6]-> [2 3 4 10 | 12 1 4 6]

[2 3 4 10 | 12 1 4 6] -> [2 3 4 10 12 | 1 4 6]

[2 3 4 10 12 | 1 4 6] -> [1 2 3 4 10 12 | 4 6]

[1 2 3 4 10 12 | 4 6] -> [1 2 3 4 4 10 12 | 6]

[1 2 3 4 4 10 12 | 6] -> [1 2 3 4 4 6 10 12]

Time complexity is O(N^2), because each next element of an unsorted part iterates through elements of the sorted part. There are two nested loops in the algorithm.

Space complexity: O(1).

123456789101112131415
def insertionSort(arr): # Iterate unsorted subarrays for i in range(1, len(arr)): key = arr[i] # Element to move j = i-1 # Iterate sorted part and replace elements one position right while j>=0 and key < arr[j]: arr[j+1] = arr[j] j-=1 # Put key element on its position arr[j+1]= key return arr
copy
Tâche

Swipe to start coding

Use the insertionSort() function to sort an array. You can either use the existing function or implement it yourself. Output the sorted array.

Solution

Switch to desktopPassez à un bureau pour une pratique réelleContinuez d'où vous êtes en utilisant l'une des options ci-dessous
Tout était clair ?

Comment pouvons-nous l'améliorer ?

Merci pour vos commentaires !

Section 1. Chapitre 4
Switch to desktopPassez à un bureau pour une pratique réelleContinuez d'où vous êtes en utilisant l'une des options ci-dessous
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