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CS 400 PROFESSIONAL CERTIFICATE OUTLINE 2026 FUNDAMENTAL CONCEPTS WITH RESOLUTIONS CORE OPERATIONAL BLUEPRINT

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CS 400 PROFESSIONAL CERTIFICATE OUTLINE 2026 FUNDAMENTAL CONCEPTS WITH RESOLUTIONS CORE OPERATIONAL BLUEPRINT

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CS 400 PROFESSIONAL CERTIFICATE
OUTLINE 2026 FUNDAMENTAL CONCEPTS
WITH RESOLUTIONS CORE OPERATIONAL
BLUEPRINT

◉ RBT root property. Answer: must be black


◉ RBT red property. Answer: Red nodes must have black children or
no children


◉ RBT black property. Answer: every path from root to null child
must have same number of black nodes(include root)


◉ RBT lookup. Answer: same as BST


◉ RBT insert. Answer: Same as BST but rebalancing


◉ RBT delete. Answer: Same as BST but detect and fix


◉ RBT red node inserted, which property violated
A. root property
B. black property
C. red property. Answer: Red property if parent is red

, ◉ Tri-node restructuring (RBT). Answer: parent sibling is null


◉ Recoloring (RBT). Answer: parent sibling is red


◉ Time complexity of print (BST). Answer: o(n)


◉ Time complexity of lookup (BST). Answer: Determined by height
O(log2n)


◉ Time complexity of insert (BST). Answer: o(log2n)


◉ Time complexity of delete (BST). Answer: o(log2n)


◉ Load factor. Answer: # of items / table size


◉ As load factor increases collisions. Answer: increase


◉ Best table size. Answer: prime or 2k+1


◉ Open Addressing. Answer: Each table element stores 1 item
If collision search for open address


◉ Linear Probing. Answer: Step size is 1.

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