![\"\"](\"https:\/\/prepbytes-misc-images.s3.ap-south-1.amazonaws.com\/assets\/1657607461347-Article.jpg\")
<\/p>\n<\/p>\n
Sorting a queue without utilizing extra space presents an intriguing challenge in computer science. Queues, a fundamental data structure, follow the FIFO (First-In-First-Out) principle, making their sorting a complex task without additional storage. Unlike arrays or lists, queues lack direct access to elements beyond the front, complicating traditional sorting algorithms’ implementation.<\/p>\n
In this article, we delve into the fascinating realm of sorting queues without the luxury of additional space. We explore various efficient algorithms and strategies that enable us to rearrange the elements within a queue to adhere to a sorted order while adhering to the constraints of space efficiency.<\/p>\n
![\"\"](\"https:\/\/prepbytes-misc-images.s3.ap-south-1.amazonaws.com\/assets\/1657606562207-Image-01.png\")
<\/p>\n
Given below are the operations of the queue:<\/strong><\/p>\n And we have C++ STL operations also such as isEmpty(): This operation is used to check whether the queue is empty or not.<\/p>\n Let’s take an example:<\/strong> Input queue 2 = 4 5 1 3 2 If we are allowed to use an extra space we\u2019ll use an array and move all the elements from the queue to array and then sort the array and finally move all the elements back to the queue.<\/p>\n So, on every iteration on the queue, we\u2019ll be looking for the next minimum index. To do this we dequeue the element then we enqueue the element until we will find the next minimum. Basically in this operation the queue is not changed at all and after we have found the minimum index then we dequeue and enqueue the elements from the queue except for the minimum index. After the traversal of the queue we\u2019ll insert the minimum from the rear of the queue. We keep on this until all minimums are pushed to the front and finally the queue will become sorted.\n
\nInput queue 1 = 100 50 40 200
\nMODIFIED QUEUE
\nOutput queue = 40 50 100 200 <\/p>\n
\nMODIFIED QUEUE
\nOutput queue 2 = 1 2 3 4 5<\/p>\nWhat if we are allowed to use extra space?<\/h3>\n
How to do it without using an extra space?<\/h3>\n
\nWe repeat this method for n times.
\nAnd also first we need to find the maximum, because on every iteration we need to find the next minimum so that we can compare it with the maximum element from the queue.<\/p>\n\t\t\t\t\t\t