Question: Problem 2 (90 points total, 10 points each). True or False. Write T (for True) or F (for False) in front of eah iani 1

Problem 2 (90 points total, 10 points each). True or False.

Problem 2 (90 points total, 10 points each). True or False. Write T (for True) or F (for False) in front of eah iani 1 For any binary search tree, it will be a valid Red-Black tree if we color all nodes black. 1 In matrix-chain multiplication, if the minimum number of scalar multiplications needed to compute the product A A... Aji A, is N, then the minimum number of scalar multiplications needed to compute the product A, A. A2Ai cannot exceed N. 1 In disjoint set forest representation, Union by rank makes a tree with more nodes point to a tree with fewer nodes. 1In matrix-chain multiplication, if all the matrices are square matrices, any parenthesization will require the same total number of scalar multiplications. I ]If a node in a binary search tree has two children, its successor cannot have left child. 1The height of any binary search tree with n nodes is O(logn) 1 The 5-step algorithm SELECT(A, k) for determining the kth smallest element of array A of size n has an O(n) complexity when the group size is 3. 1In Open Addressing, the loading factor is always s1 The only value A that works for the hash function hk) m (kA mod 1) is A (S 1)/2. Problem 2 (90 points total, 10 points each). True or False. Write T (for True) or F (for False) in front of eah iani 1 For any binary search tree, it will be a valid Red-Black tree if we color all nodes black. 1 In matrix-chain multiplication, if the minimum number of scalar multiplications needed to compute the product A A... Aji A, is N, then the minimum number of scalar multiplications needed to compute the product A, A. A2Ai cannot exceed N. 1 In disjoint set forest representation, Union by rank makes a tree with more nodes point to a tree with fewer nodes. 1In matrix-chain multiplication, if all the matrices are square matrices, any parenthesization will require the same total number of scalar multiplications. I ]If a node in a binary search tree has two children, its successor cannot have left child. 1The height of any binary search tree with n nodes is O(logn) 1 The 5-step algorithm SELECT(A, k) for determining the kth smallest element of array A of size n has an O(n) complexity when the group size is 3. 1In Open Addressing, the loading factor is always s1 The only value A that works for the hash function hk) m (kA mod 1) is A (S 1)/2

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