Deque in Python

Deque (Doubly Ended Queue) in Python is implemented using the module “collections“. Deque is preferred over a list in the cases where we need quicker append and pop operations from both the ends of the container, as deque provides an O(1) time complexity for append and pop operations as compared to a list that provides O(n) time complexity.

Types of Restricted Deque Input

• Input Restricted Deque:  Input is limited at one end while deletion is permitted at both ends.
• Output Restricted Deque: output is limited at one end but insertion is permitted at both ends.

Example: Python code to demonstrate deque 

Python3

from collections import deque

# Declaring deque
queue = deque(['name','age','DOB'])

print(queue)

Output

deque(['name', 'age', 'DOB'])

Operations on deque 

Example 1: Appending Items Efficiently

• append():- This function is used to insert the value in its argument to the right end of the deque.
• appendleft():- This function is used to insert the value in its argument to the left end of the deque.

Python3

# importing "collections" for deque operations
import collections

# initializing deque
de = collections.deque([1, 2, 3])
print("deque: ", de)

# using append() to insert element at right end
# inserts 4 at the end of deque
de.append(4)

# printing modified deque
print("\nThe deque after appending at right is : ")
print(de)

# using appendleft() to insert element at left end
# inserts 6 at the beginning of deque
de.appendleft(6)

# printing modified deque
print("\nThe deque after appending at left is : ")
print(de)

Output

deque:  deque([1, 2, 3])

The deque after appending at right is : 
deque([1, 2, 3, 4])

The deque after appending at left is : 
deque([6, 1, 2, 3, 4])

Refer end for complexity analysis.

Example 2: Popping Items Efficiently

• pop():- This function is used to delete an argument from the right end of the deque.
• popleft():- This function is used to delete an argument from the left end of the deque.

Python3

# importing "collections" for deque operations
import collections

# initializing deque
de = collections.deque([6, 1, 2, 3, 4])
print("deque: ", de)

# using pop() to delete element from right end
# deletes 4 from the right end of deque
de.pop()

# printing modified deque
print("\nThe deque after deleting from right is : ")
print(de)

# using popleft() to delete element from left end
# deletes 6 from the left end of deque
de.popleft()

# printing modified deque
print("\nThe deque after deleting from left is : ")
print(de)

Output

deque:  deque([6, 1, 2, 3, 4])

The deque after deleting from right is : 
deque([6, 1, 2, 3])

The deque after deleting from left is : 
deque([1, 2, 3])

Refer end for complexity analysis.

Example 3: Accessing Items in a deque

• index(ele, beg, end):- This function returns the first index of the value mentioned in arguments, starting searching from beg till end index.
• insert(i, a) :- This function inserts the value mentioned in arguments(a) at index(i) specified in arguments.
• remove():- This function removes the first occurrence of the value mentioned in arguments.
• count():- This function counts the number of occurrences of value mentioned in arguments.

Python3

# Python code to demonstrate working of
# insert(), index(), remove(), count()

# importing "collections" for deque operations
import collections

# initializing deque
de = collections.deque([1, 2, 3, 3, 4, 2, 4])

# using index() to print the first occurrence of 4
print ("The number 4 first occurs at a position : ")
print (de.index(4,2,5))

# using insert() to insert the value 3 at 5th position
de.insert(4,3)

# printing modified deque
print ("The deque after inserting 3 at 5th position is : ")
print (de)

# using count() to count the occurrences of 3
print ("The count of 3 in deque is : ")
print (de.count(3))

# using remove() to remove the first occurrence of 3
de.remove(3)

# printing modified deque
print ("The deque after deleting first occurrence of 3 is : ")
print (de)

Output

The number 4 first occurs at a position : 
4
The deque after inserting 3 at 5th position is : 
deque([1, 2, 3, 3, 3, 4, 2, 4])
The count of 3 in deque is : 
3
The deque after deleting first occurrence of 3 is : 
deque([1, 2, 3, 3, 4, 2, 4])

Refer end for complexity analysis.

Example 4: Size of a deque

• len(dequeue):- Return the current size of the dequeue.

Python3

# Python Program to demonstrate
# how to find size of a Dequeue
from collections import deque

# initializing deque
de = deque([1, 2, 3, 4, 5, 6])
print("Current Deque: ", de)

# printing current size of deque
print(f"Size of Deque: {len(de)}")

# using pop() to delete element from right end
# deletes 6 from the right end of deque
de.pop()

# printing modified deque
print("\nThe deque after deleting from right is: ", end = '')
print(de)

# printing current size of deque
print(f"Size of Deque: {len(de)}")

# This code is contributed by Susobhan Akhuli

Output

Current Deque:  deque([1, 2, 3, 4, 5, 6])
Size of Deque: 6

The deque after deleting from right is: deque([1, 2, 3, 4, 5])
Size of Deque: 5

Refer end for complexity analysis.

Example 5: Front and Back of a deque

• Deque[0] :- We can access the front element of the deque using indexing with de[0].
• Deque[-1] :- We can access the back element of the deque using indexing with de[-1].

Python3

# Python Program to demonstrate
# accessing the front and back of a Deque

from collections import deque

# initializing deque
de = deque([1, 2, 3, 4, 5, 6])
print("Current Deque: ", de)

# Accessing the front element of the deque
print("Front element of the deque:", de[0])

# Accessing the back element of the deque
print("Back element of the deque:", de[-1])

# This code is contributed by Susobhan Akhuli

Output

Current Deque:  deque([1, 2, 3, 4, 5, 6])
Front element of the deque: 1
Back element of the deque: 6

Refer end for complexity analysis.

Example 6: Different operations on deque

• extend(iterable):- This function is used to add multiple values at the right end of the deque. The argument passed is iterable.
• extendleft(iterable):- This function is used to add multiple values at the left end of the deque. The argument passed is iterable. Order is reversed as a result of left appends.
• reverse():- This function is used to reverse the order of deque elements.
• rotate():- This function rotates the deque by the number specified in arguments. If the number specified is negative, rotation occurs to the left. Else rotation is to right.

Python3

# Python code to demonstrate working of
# extend(), extendleft(), rotate(), reverse()

# importing "collections" for deque operations
import collections

# initializing deque
de = collections.deque([1, 2, 3,])

# using extend() to add numbers to right end
# adds 4,5,6 to right end
de.extend([4,5,6])

# printing modified deque
print ("The deque after extending deque at end is : ")
print (de)

# using extendleft() to add numbers to left end
# adds 7,8,9 to left end
de.extendleft([7,8,9])

# printing modified deque
print ("The deque after extending deque at beginning is : ")
print (de)

# using rotate() to rotate the deque
# rotates by 3 to left
de.rotate(-3)

# printing modified deque
print ("The deque after rotating deque is : ")
print (de)

# using reverse() to reverse the deque
de.reverse()

# printing modified deque
print ("The deque after reversing deque is : ")
print (de)

Output

The deque after extending deque at end is : 
deque([1, 2, 3, 4, 5, 6])
The deque after extending deque at beginning is : 
deque([9, 8, 7, 1, 2, 3, 4, 5, 6])
The deque after rotating deque is : 
deque([1, 2, 3, 4, 5, 6, 9, 8, 7])
The deque after reversing deque is : 
deque([7, 8, 9, 6, 5, 4, 3, 2, 1])

Refer end for complexity analysis.

Complexity Analysis:

Methods	Time Complexity	Auxiliary Space
append()	O(1)	O(1)
appendleft()	O(1)	O(1)
pop()	O(1)	O(1)
popleft()	O(1)	O(1)
index(ele, beg, end)	O(N)	O(1)
insert(i, a)	O(N)	O(1)
remove()	O(N)	O(1)
count()	O(N)	O(1)
len(dequeue)	O(1)	O(1)
Deque[0]	O(1)	O(1)
Deque[-1]	O(1)	O(1)
extend(iterable)	O(K)	O(1)
extendleft(iterable)	O(K)	O(1)
reverse()	O(N)	O(1)
rotate()	O(K)	O(1)