Questions and Answers
What is the recurrence for the given algorithm?
$T(n) = 2T(\frac{n}{2}) + \theta(n)$
What is the worst-case scenario for insertion sort?
When the input array is sorted
In a max-heap, where is the largest element stored?
At the root
In a binary search tree (BST), what condition must hold true if 'y' is a node in the right subtree of 'x'?
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What class consists of problems that are solvable?
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Study Notes
Algorithms
- The recurrence for the given algorithm is not specified, but it depends on the type of algorithm and its implementation.
Insertion Sort
- The worst-case scenario for insertion sort is O(n^2), which occurs when the input is in reverse order.
Heaps
- In a max-heap, the largest element is stored at the root node.
Binary Search Trees (BSTs)
- If 'y' is a node in the right subtree of 'x' in a BST, then the value of 'y' must be greater than the value of 'x'.
Complexity Theory
- The class of problems that are solvable is called recursive or R.
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