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What is the time complexity of inserting a node at the beginning of a linked list?
- a)O(1)
- b)O(n)
- c)O(log n)
- d)O(n2)
Correct answer is option 'A'. Can you explain this answer?
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What is the time complexity of inserting a node at the beginning of a ...
Inserting a node at the beginning of a linked list takes constant time, as it involves adjusting the pointers.
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Time Complexity of Inserting a Node at the Beginning of a Linked List
In a linked list, inserting a node at the beginning involves updating the head pointer to point to the new node, which can be done in constant time.
Explanation
- When inserting a node at the beginning of a linked list, the new node is inserted before the current head node.
- The new node's next pointer is then set to point to the current head node.
- Finally, the head pointer is updated to point to the new node.
Time Complexity Analysis
- Since inserting a node at the beginning of a linked list only involves a constant number of operations (setting the new node's next pointer and updating the head pointer), the time complexity is O(1).
- This is because the time taken to insert a node does not depend on the size of the linked list. It will always take the same amount of time regardless of the number of nodes in the list.
Therefore, the time complexity of inserting a node at the beginning of a linked list is O(1).
In a linked list, inserting a node at the beginning involves updating the head pointer to point to the new node, which can be done in constant time.
Explanation
- When inserting a node at the beginning of a linked list, the new node is inserted before the current head node.
- The new node's next pointer is then set to point to the current head node.
- Finally, the head pointer is updated to point to the new node.
Time Complexity Analysis
- Since inserting a node at the beginning of a linked list only involves a constant number of operations (setting the new node's next pointer and updating the head pointer), the time complexity is O(1).
- This is because the time taken to insert a node does not depend on the size of the linked list. It will always take the same amount of time regardless of the number of nodes in the list.
Therefore, the time complexity of inserting a node at the beginning of a linked list is O(1).
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What is the time complexity of inserting a node at the beginning of a linked list?a)O(1)b)O(n)c)O(log n)d)O(n2)Correct answer is option 'A'. Can you explain this answer?
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