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Programming and Data Structures · Binary Heaps
Official IIT answer key · IISc Bangalore · Audited Aug 2026
GATE CSE 2024 Set 1 Q43 · MCQ · 2 marks
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Topic notes
Binary heaps are tested frequently in GATE CS with a strong focus on structural and array properties (complete binary tree indexing), operation trace (insertion bubbling up and bottom-up build-heap sift-down), and extreme value locations (finding maximum in min-heap or minimum in max-heap). Questions vary from direct index/leaf counting formulas and tree height calculations to asymptotic complexities of priority queue operations. Recent years exhibit an increased prevalence of NAT and MSQ questions testing index ranges and structural properties.
Full Binary Heaps guide →Consider a binary min-heap containing 105 distinct elements. Let k be the index (in the underlying array) of the maximum element stored in the heap. The number of possible values of k is
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