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What is the minimum and maximum number of link field updations required respectively to insert a new node in the double linked list?
  • a)
    2, 4
  • b)
    4, 4
  • c)
    3, 4
  • d)
    4, 3
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
What is the minimum and maximum number of link field updations require...
Three cases:
(i) Insertion at the beginning.
p → new node
q → first node
∴ p → R link = q
p → L link = NULL
q → L link = p
∴3 updations.
(ii) Insertions at end (q is the last node).
p → R link = NULL
p → L link = q
p → R link = p
∴ 3 updations.
(iii) Insertions in middle of q and r.
p → R link = r
p → L link = q
q → R link = p
r → L link = p
∴ 4 updations.
Hence, the correct option is (C).
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Most Upvoted Answer
What is the minimum and maximum number of link field updations require...
Three cases:
(i) Insertion at the beginning.
p → new node
q → first node
∴ p → R link = q
p → L link = NULL
q → L link = p
∴3 updations.
(ii) Insertions at end (q is the last node).
p → R link = NULL
p → L link = q
p → R link = p
∴ 3 updations.
(iii) Insertions in middle of q and r.
p → R link = r
p → L link = q
q → R link = p
r → L link = p
∴ 4 updations.
Hence, the correct option is (C).
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Community Answer
What is the minimum and maximum number of link field updations require...
Double Linked List Overview
A double linked list consists of nodes that contain data and two pointers: one pointing to the next node and another pointing to the previous node. When inserting a new node, it's crucial to update these pointers correctly.
Link Field Updations
To insert a new node into a double linked list, we analyze the required link field updates:
1. Minimum Updations (3):
- When inserting the new node between two existing nodes:
- Update the next pointer of the predecessor node to point to the new node.
- Update the previous pointer of the successor node to point to the new node.
- Set the next pointer of the new node to point to the successor node.
- Set the previous pointer of the new node to point to the predecessor node.
- In this scenario, you only need to perform 3 updates if the new node is added at the beginning or end, and thus can skip updating one of the existing nodes.
2. Maximum Updations (4):
- When inserting the new node at either the beginning or the end:
- Update the next pointer of the new node to point to the current first or last node.
- Update the previous pointer of the current first or last node to point back to the new node.
- Set the previous pointer of the new node to null (for beginning) or to the last node (for end).
- Set the next pointer of the new node to null (for end) or to the first node (for beginning).
- In this case, all four pointers need to be updated.
Conclusion
Thus, the minimum number of link field updates required is 3, while the maximum is 4, confirming option 'C' as the correct answer.
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