If a hash table is implemented as a search tree, the expected time required to enter n names and make m searches is proportional to : 

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NIELIT Scientific Assistant CS 5 Dec 2021 Official Paper
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  1. (n + m) log2 n
  2. (n + m) log2 m
  3. mn log2
  4. mn log2 m

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Option 1 : (n + m) log2 n
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The correct answer is (n + m) log2 n.

key-point-image Key Points

  • If a hash table is implemented as a search tree, the expected time required to enter n names and make m searches is proportional to (n + m) log2 n.
  • The reason behind this is that the search tree ensures that the time complexity for insertion and search operations is logarithmic relative to the number of elements in the tree.
  • Inserting n names takes O(n log2 n) time, as each insertion can take up to log2 n comparisons in a balanced tree.
  • Searching for m names takes O(m log2 n) time, as each search operation can take up to log2 n comparisons.
  • Therefore, the total expected time is the sum of the time for insertion and search operations, which is (n + m) log2 n.

additional-information-image Additional Information

  • A search tree, such as a binary search tree (BST), AVL tree, or Red-Black tree, is used to maintain a sorted order of elements, allowing for efficient search and insertion operations.
  • The balancing property of search trees ensures that the height of the tree remains logarithmic relative to the number of elements, thus providing efficient operations.
  • Hash tables are typically used for average-case constant-time complexity operations, but when implemented as search trees, they leverage the tree's logarithmic properties for better worst-case performance.
  • This implementation is useful in scenarios where the data set is dynamic and needs to be frequently updated and searched efficiently.
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Last updated on Feb 20, 2025

-> A total number of 113 revised vacancies have been announced for the post of Scientific Assistant in Computer Science (CS), Information Technology (IT), and Electronics & Communication (EC) streams.

-> Online application form, last date has been extended up to from 17th April 2025.

->The NIELT has revised the Essential Qualifications for the post of Scientific Assistant. Candidates must possess (M.Sc.)/ (MS)/ (MCA) / (B.E.)/ (B.Tech) in relevant disciplines.

 

-> The NIELIT Scientific Assistant 2025 Notification has been released by the National Institute of Electronics and Information Technology (NIELIT).

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