Exam (elaborations)
COP 3530 EXAM 1 QUESTIONS AND ANSWER 2024
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COP 3530 EXAM 1 QUESTIONS AND ANSWER 2024
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COP 3530 EXAM 1B-Tree Properties - ANSWERS-1. Each node is a block containing multiple keys
2. B-trees are n-ary with bst sorting property
3. Tree building is bottom-up
4. Order "n" tree has at most n children
5. Leaves are always at same depth
6. Non-leaf nodes can store up to n-1 keys
B+ tree properties - ANSWERS-Like B-tree, but all data is stored in leaves & all
leaves are linked
B+ tree use cases - ANSWERS-Hard drives, databases, file systems
Splay Tree - ANSWERS-a self-balancing binary tree that places recently accessed
elements near the top of the tree for fast access
Red-Black tree properties - ANSWERS-1. Every node is either red or black
2. The root is black
3. A red node can't have red children
4. All paths from root to leaves contain the same # of black nodes
, AVL tree insertion algorithm - ANSWERS-Find deepest node that breaks balance
factor rule
Start rotating & move up
B-tree insertion algorithm - ANSWERS-Add key like in binary tree
If this causes node to have > l keys:
Split node, middle key moves up, other keys become stand-alone nodes
Repeat if necessary
Binary Heap Properties - ANSWERS-1. Complete binary tree
2. Each node is less than its children for min-heap, greater than children for max-
heap
3. Root is either smallest or largest element
4. Only root can be extracted
Binary Heap array representation - ANSWERS-For a node at position p,
p.leftChild = 2p + 1
p.rightChild = 2p + 2
p.parent = floor((p - 1)/2)
Binary Heap Insertion Algorithm (Heapify up/down) - ANSWERS-1. Insert new
item in next position at bottom of heap (furthest left empty spot b/c complete
tree)
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