Insertion sort is a simple sorting algorithm that builds the final sorted array one item at a time. In each iteration, insertion sort inserts an element into an already sorted list (on left). The position where the item will be inserted is found through linear search. You decided to improve insertion sort by using binary search to find the position p where the no ortion chould take place

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Chapter9: Advanced Array Concepts
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Language: Python 3
Autocomplete Ready O
1 v import ast
3. Hybrid Sort
input()
lst
%3D
3
lst = ast.literal_eval(lst)
4
Insertion sort is a simple sorting algorithm that builds the final sorted array one
item at a time. In each iteration, insertion sort inserts an element into an already
sorted list (on left). The position where the item will be inserted is found through
linear search. You decided to improve insertion sort by using binary search to
find the position p where
the new insertion should take place.
6
print(BinaryInsertionSort(lst))
Algorithm BinarylnsertionSort
Input/output: takes an integer array a = {a[0], ..., a[n – 1]} of size n
begin BinarylnsertionSort
for i =1 to n
val = a[i]
p = BinarySearch(a, val, 0, i – 1)
for j = i-1 to p
a[j + 1]= a[i]
j= j-1
end for
a[p] = val
i i+1
end for
end BinarylnsertionSort
Here, val = a[i] is the current value to be inserted at each step i into the already
sorted part a[0], ..., ați – 1] of the array a. The binary search along that part
returns the position p where the val will be inserted. After finding p, the data
values in the subsequent positions j =i- 1,....p are sequentially moved one
position up to i, ..., p+1 so that the value val can be inserted into the proper
position p.
Implement function BinaryInsertionSort that takes an unsorted array as a
parameter and returns a sorted array.
>>> BinaryInsertionSort([37, 23, 0, 17, 12, 72, 31, 46, 100, 88,
54])
[0, 12, 17, 23, 31, 37, 46, 54, 72, 88, 100]
>>> BinaryInsertionSort([5, 2, 7, 10, 3, 5, 2, 1, 8, 9])
[1, 2, 2, 3, 5, 5, 7, 8, 9, 10]
Transcribed Image Text:Language: Python 3 Autocomplete Ready O 1 v import ast 3. Hybrid Sort input() lst %3D 3 lst = ast.literal_eval(lst) 4 Insertion sort is a simple sorting algorithm that builds the final sorted array one item at a time. In each iteration, insertion sort inserts an element into an already sorted list (on left). The position where the item will be inserted is found through linear search. You decided to improve insertion sort by using binary search to find the position p where the new insertion should take place. 6 print(BinaryInsertionSort(lst)) Algorithm BinarylnsertionSort Input/output: takes an integer array a = {a[0], ..., a[n – 1]} of size n begin BinarylnsertionSort for i =1 to n val = a[i] p = BinarySearch(a, val, 0, i – 1) for j = i-1 to p a[j + 1]= a[i] j= j-1 end for a[p] = val i i+1 end for end BinarylnsertionSort Here, val = a[i] is the current value to be inserted at each step i into the already sorted part a[0], ..., ați – 1] of the array a. The binary search along that part returns the position p where the val will be inserted. After finding p, the data values in the subsequent positions j =i- 1,....p are sequentially moved one position up to i, ..., p+1 so that the value val can be inserted into the proper position p. Implement function BinaryInsertionSort that takes an unsorted array as a parameter and returns a sorted array. >>> BinaryInsertionSort([37, 23, 0, 17, 12, 72, 31, 46, 100, 88, 54]) [0, 12, 17, 23, 31, 37, 46, 54, 72, 88, 100] >>> BinaryInsertionSort([5, 2, 7, 10, 3, 5, 2, 1, 8, 9]) [1, 2, 2, 3, 5, 5, 7, 8, 9, 10]
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