Insertion in Heap Data Structure - Step by Step Working with Diagram (With Full C++ Code) |
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Insertion in Heap Data Structure - Step by Step Working with Diagram (With Full C++ Code) |
In this video tutorial we will understand the Insertion operation in min heap data structure. We will understand the pseudocode and dry run it step by step using the help of diagrams to understand its working. We will also implement the insertion in heap operation using C++ Programming code ...
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(a) In the top-down heap-build method, we use MAX-HEAP-INSERT repeatedly, starting with an empty heap and inserting from position 1 to n, resolving the heap structure by "bubbling up" each new insertion. This means the 2^i nodes on level i will each cause up to i swaps, resulting in the following expression:total # swaps = Σ(# nodes)(# swaps)1.0 2.1 2^2.2 ... 2^i.i ... 2^n.nYour task: Argue that this expression is O(n log n). Hint: Lower bound is easy. For the upper bound, exaggerate
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(a) In the top-down heap-build method, we use MAX-HEAP-INSERT repeatedly, starting with an empty heap and inserting from position 1 to n, resolving the heap structure by "bubbling up" each new insertion. This means the 2^i nodes on level i will each cause up to i swaps, resulting in the following expression:total # swaps = Σ(# nodes)(# swaps)1.0 2.1 2^2.2 ... 2^i.i ... 2^n.nYour task: Argue that this expression is O(n log n). Hint: Lower bound is easy. For the upper bound, exaggerate
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