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Suppose you have a linked list of integers and you want to delete the first node in the list. Which of the following statements is/ are Incorrect? a. The time complexity of the deletion operation is O(1). b. The time complexity of the deletion operation is O(logn). c. The time complexity of the deletion operation depends on the size of the integer to be deleted. d. The time complexity of the deletion operation depends on the location of the deletion point.

Question

Suppose you have a linked list of integers and you want to delete the first node in the list. Which of the following statements is/ are Incorrect? a. The time complexity of the deletion operation is O(1). b. The time complexity of the deletion operation is O(logn). c. The time complexity of the deletion operation depends on the size of the integer to be deleted. d. The time complexity of the deletion operation depends on the location of the deletion point.

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Solution

The incorrect statements are:

b. The time complexity of the deletion operation is O(logn). c. The time complexity of the deletion operation depends on the size of the integer to be deleted. d. The time complexity of the deletion operation depends on the location of the deletion point.

Explanation:

a. The time complexity of the deletion operation is O(1). This statement is correct. In a linked list, deletion of the first node can be done in constant time, O(1), because we have a direct reference to the first node.

b. The time complexity of the deletion operation is O(logn). This statement is incorrect. The time complexity of deletion in a linked list is not dependent on the logarithm of the size of the list.

c. The time complexity of the deletion operation depends on the size of the integer to be deleted. This statement is incorrect. The time complexity of deletion in a linked list does not depend on the size of the integer to be deleted. It depends on the position of the node to be deleted.

d. The time complexity of the deletion operation depends on the location of the deletion point. This statement is incorrect. While it's true that the time complexity of deletion can depend on the location of the deletion point if the node is in the middle or end of the list (it would be O(n) in the worst case), the question specifically refers to deleting the first node. The time complexity for deleting the first node is O(1), regardless of the list's size.

This problem has been solved

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