Programming and Data Structures · Binary Heaps
Official IIT answer key · IIT Guwahati · Audited Aug 2026
GATE CSE 2025 Set 1 Q35 · NAT · 1 mark
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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 →The height of any rooted tree is defined as the maximum number of edges in the path from the root node to any leaf node. Suppose a Min-Heap T stores 32 keys. The height of T is … (Answer in integer)
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