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Which element is moved during the insertion of a new element into a Max Heap?

Question

Which element is moved during the insertion of a new element into a Max Heap?

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Solution

When a new element is inserted into a Max Heap, the element that is moved depends on the value of the new element. Here are the steps:

  1. The new element is initially appended to the end of the heap (the bottom rightmost position to maintain the complete binary tree property).

  2. The new element is then compared with its parent. If the new element is larger than its parent, then it's in the wrong position according to the Max Heap property (which states that parent nodes must always contain a value that is greater than or equal to the values of their child nodes).

  3. If the new element is larger, it is swapped with its parent.

  4. This process continues (comparing the new element with its parent and swapping positions if necessary) until the new element is either smaller than its parent (meaning it's in the correct position) or it becomes the root of the tree (meaning it's the largest element in the heap).

So, the elements that are moved during the insertion of a new element into a Max Heap are the new element itself and possibly some of its parent elements, depending on their values.

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