Given a linked list which is sorted, how will you insert in sorted way
Given a sorted linked list and a value to insert, write a function to insert the value in a sorted way.
Initial Linked List
Linked List after insertion of 9
Introduction to Singly Linked List
Singly Linked List is a variant of Linked List which allows only forward traversal of linked lists. This is a simple form, yet it is effective for several problems such as Big Integer calculations.
A singly linked list is made up of nodes where each node has two parts:
- The first part contains the actual data of the node
- The second part contains a link that points to the next node of the list that is the address of the next node.
The beginning of the node marked by a special pointer named START. The pointer points to the fist node of the list but the link part of the last node has no next node to point to.
The main difference from an array is:
- Elements are not stored in contiguous memory locations.
- Size of Linked List need not be known in advance. It can increase at runtime depending on number of elements dynamically without any overhead.
In Singly Linked List, only the pointer to the first node is stored. The other nodes are accessed one by one.
To get the address of ith node, we need to traverse all nodes before it because the address of ith node is stored with i-1th node and so on.
What is the complexity of searching for a particular element in a singly linked list?
Table of Contents
- What is the complexity of searching for a particular element in a singly linked list?
- What is the complexity of lookup insert for a linked list?
- What is the complexity of searching a sorted linked list?
- What is the complexity of searching a node in a doubly circular linked list using linear search?
- What is the complexity of searching for an element?
- How is a linked list searched?
- What is the best and worst case time complexity for searching for a value in a linked list?
- What is the time complexity of searching for an element in a circular list?
- What is the time complexity of adding an element to a linked list?
- How to search an element in a circular linked list?
- What kind of data structure is a circular linked list?
What is the complexity of searching for a particular element in a singly linked list?
3. What is the time complexity to count the number of elements in the linked list? Explanation: To count the number of elements, you have to traverse through the entire list, hence complexity is O[n].
What is the complexity of lookup insert for a linked list?
The time complexity for the Inserting at the end depends if you have the location of the last node, if you do, it would be O[1] other wise you will have to search through the linked list and the time complexity would jump to O[n].
What is the complexity of searching a sorted linked list?
Since we're talking about a Sorted Linked List, and you're inserting without knowing where an element is supposed to go, it will take you O[n] time [since you have to search the whole list to find the place the element goes].
What is the complexity of searching a node in a doubly circular linked list using linear search?
To traverse the complete doubly linked list, we have to visit every node. If it has n nodes, the average-case time complexity of traversal is of the order of O[n] . The time complexity is of the order of O[n] . The best-case time complexity is O[n] .
What is the complexity of searching for an element?
Complexities like O[1] and O[n] are simple to understand. O[1] means it requires constant time to perform operations like to reach an element in constant time as in case of dictionary and O[n] means, it depends on the value of n to perform operations such as searching an element in an array of n elements.
How is a linked list searched?
To search an element in a Linked List, we need to traverse the entire Linked List and compare each node with the data to be search and continue until a match is found.
What is the best and worst case time complexity for searching for a value in a linked list?
To search a linked list, you are going to iterate over each item in the list. The most time this will take, will be T[n] where n is the length of your list. A big-O notation stands for the upper bounds or the worst case scenario.
What is the time complexity of searching for an element in a circular list?
What is the time complexity of searching for an element in a circular linked list? a. b. d. Confused About the Answer? Ask for Details Here Know Explanation? Add it Here What would be the asymptotic time complexity to find an element in the linked list? A doubly linked list performs traversal in _________.
What is the time complexity of adding an element to a linked list?
Explanation: To add an element at the front of the linked list, we will create a new node which holds the data to be added to the linked list and pointer which points to head position in the linked list. The entire thing happens within O [1] time. Thus the asymptotic time complexity is O [1].
How to search an element in a circular linked list?
If the key to be searched is 4, then the function should return true. Initialize a node pointer, temp = head. Initialize a counter f=0 [to check if the element is present in a linked list or not]. If the head is null then the print list is empty.
What kind of data structure is a circular linked list?
A linked list is a kind of linear data structure where each node has a data part and an address part which points to the next node. A circular linked list is a type of linked list where the last node points to the first one, making a circle of nodes.
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AlgorithmEdit
A graphical example of insertion sort. The partial sorted list [black] initially contains only the first element in the list. With each iteration one element [red] is removed from the "not yet checked for order" input data and inserted in-place into the sorted list.
Insertion sort iterates, consuming one input element each repetition, and grows a sorted output list. At each iteration, insertion sort removes one element from the input data, finds the location it belongs within the sorted list, and inserts it there. It repeats until no input elements remain.
Sorting is typically done in-place, by iterating up the array, growing the sorted list behind it. At each array-position, it checks the value there against the largest value in the sorted list [which happens to be next to it, in the previous array-position checked]. If larger, it leaves the element in place and moves to the next. If smaller, it finds the correct position within the sorted list, shifts all the larger values up to make a space, and inserts into that correct position.
The resulting array after k iterations has the property where the first k + 1 entries are sorted ["+1" because the first entry is skipped]. In each iteration the first remaining entry of the input is removed, and inserted into the result at the correct position, thus extending the result:
becomes
with each element greater than x copied to the right as it is compared against x.
The most common variant of insertion sort, which operates on arrays, can be described as follows:
- Suppose there exists a function called Insert designed to insert a value into a sorted sequence at the beginning of an array. It operates by beginning at the end of the sequence and shifting each element one place to the right until a suitable position is found for the new element. The function has the side effect of overwriting the value stored immediately after the sorted sequence in the array.
- To perform an insertion sort, begin at the left-most element of the array and invoke Insert to insert each element encountered into its correct position. The ordered sequence into which the element is inserted is stored at the beginning of the array in the set of indices already examined. Each insertion overwrites a single value: the value being inserted.
Pseudocode of the complete algorithm follows, where the arrays are zero-based:[1]
i ← 1 while i < length[A] j ← i while j > 0 and A[j-1] > A[j] swap A[j] and A[j-1] j ← j - 1 end while i ← i + 1 end whileThe outer loop runs over all the elements except the first one, because the single-element prefix A[0:1] is trivially sorted, so the invariant that the first i entries are sorted is true from the start. The inner loop moves element A[i] to its correct place so that after the loop, the first i+1 elements are sorted. Note that the and-operator in the test must use short-circuit evaluation, otherwise the test might result in an array bounds error, when j=0 and it tries to evaluate A[j-1] > A[j] [i.e. accessing A[-1] fails].
After expanding the swap operation in-place as x ← A[j]; A[j] ← A[j-1]; A[j-1] ← x [where x is a temporary variable], a slightly faster version can be produced that moves A[i] to its position in one go and only performs one assignment in the inner loop body:[1]
i ← 1 while i < length[A] x ← A[i] j ← i - 1 while j >= 0 and A[j] > x A[j+1] ← A[j] j ← j - 1 end while A[j+1] ← x[3] i ← i + 1 end whileThe new inner loop shifts elements to the right to clear a spot for x = A[i].
The algorithm can also be implemented in a recursive way. The recursion just replaces the outer loop, calling itself and storing successively smaller values of n on the stack until n equals 0, where the function then returns up the call chain to execute the code after each recursive call starting with n equal to 1, with n increasing by 1 as each instance of the function returns to the prior instance. The initial call would be insertionSortR[A, length[A]-1].
function insertionSortR[array A, int n] if n > 0 insertionSortR[A, n-1] x ← A[n] j ← n-1 while j >= 0 and A[j] > x A[j+1] ← A[j] j ← j-1 end while A[j+1] ← x end if end functionIt does not make the code any shorter, it also doesn't reduce the execution time, but it increases the additional memory consumption from O[1] to O[N] [at the deepest level of recursion the stack contains N references to the A array, each with accompanying value of variable n from N down to 1].