Python bisect left vs right

Jocelyn 176 Published: 08/05/2024

Python bisect left vs right

Here's the information about bisect function from Python:

Python's built-in module bisect provides a way to maintain sorted lists by efficiently searching and inserting elements into these lists. The bisect function in particular is used for finding an insertion point to maintain the sorted order.

There are two types of searches that can be performed using bisect: bisect_left (also known as insort_left) and bisect_right (also known as insort_right).

Bisect Left (bisect_left):

The left version of the function returns the index where you could insert a given value in order to maintain sorted order, but this assumes that the target is not already in the list. If the item is already present, bisect_left will return an index at which the element should be inserted to maintain the sorting.

Here's how it works:

It calculates where you would need to insert a value if you were inserting it into a sorted list. This method returns the insertion point for target in the list alist, such that alist[bisect.bisect_left(alist, target)] will be the index at which target should be inserted to maintain sorted order.

For example:

    >>> import bisect



numbers = [1, 2, 3]

bisect.bisect_left(numbers, 4)

3

In this case, you could insert 4 at index 3 to maintain sorted order.

Bisect Right (bisect_right):

The right version of the function also returns where you could insert a given value in order to maintain sorted order, but it does so by considering the end of the list.

Here's how it works:

It calculates where you would need to insert a value if you were inserting it into a sorted list. This method returns the insertion point for target in the list alist, such that alist[bisect.bisect_right(alist, target)]-1 will be the index at which target should be inserted to maintain sorted order.

For example:

    >>> import bisect



numbers = [1, 2, 3]

bisect.bisect_right(numbers, 4)

4

In this case, you could insert 4 at index 4 to maintain sorted order.

The key difference between the two is that bisect_left considers where it would be inserted if there were a missing element in the list, while bisect_right considers where it would be inserted if there were an extra element in the list.

Python binary search standard library

I apologize for the confusion earlier! Here's a detailed explanation of the binary search algorithm implemented in Python using its standard library.

Binary Search:

Binary search is an efficient algorithm for finding an item from a sorted list of items. It works by repeatedly dividing the search interval in half, eliminating half of the possible locations for the target value each iteration.

Here's how it works:

Start by considering the entire list as your search space. Calculate the middle index of this search space (i.e., if the list has an even number of elements, use either index). Compare the item at that index to your target value. If they match, return the index. If not, you have two possibilities for where the target element could be: It's in the first half: Recursively repeat steps 2-4 on this half (left of the middle). It's in the second half: Recursively repeat steps 2-4 on this half (right of the middle).

Python Implementation:

def binary_search(lst, target):

low = 0

high = len(lst) - 1

while low <= high:

mid = (low + high) // 2

if lst[mid] == target:

return mid

elif lst[mid] < target:

low = mid + 1

else:

high = mid - 1

return -1

Example usage

sorted_list = [1, 3, 5, 7, 9, 11]

target_value = 5

index = binary_search(sorted_list, target_value)

if index != -1:

print(f"Target value {target_value} found at index {index}.")

else:

print("Target value not found in the list.")

The standard library provides two useful data structures to implement binary search:

bisect: This module includes functions for binary search and insertion in sorted lists. It has three main functions: bisect_left(), bisect_right(), and insort().

Here's how you can use it:

import bisect

sorted_list = [1, 3, 5, 7, 9, 11]

index = bisect.bisect_left(sorted_list, 5)

print(f"The target value {5} is at index {index}.")

In the above code snippet, bisect_left() returns the insertion point for the specified element in the list to maintain the sorted nature of the list.