Make Algorithm for Alpha-beta pruning using minimax using following rules: (i) Prune below any min node having a beta value less than or equal to the alpha value of any of its max ancestors. (ii) Prune below any max node having an alpha value greater than or equal to the beta value of any of its min ancestors.

Problem 3. Given a node in a binary search tree, its successor is the successor node in the sorted order determined by an inorder tree traversal. Use pseudo codes to write a function BST-Successor, which returns the successor node of a given node in a BST. You may assume that all the BST regular operation functions are existed and can be used for your function.

59 403; Provide an optimal prefix code for a, d, e, m, n, r, t, u that occur with frequencies 60, 18, 92, 9, 34, 30, 73, 10 respectively. (Show all the steps for the Hoffman tree.)

In the minimum spanning tree problem formulation, if n is the total number of nodes, and the edges between any two nodes i and j is rij- The variables Tij are defined in the model as: Select one: O Continous O Integer O None of the mentioned Binary O Integer or Continous

Algorithm for Alpha-beta pruning using minimax.in: node v; alpha value α; beta value βout: utility value of node v

Show that, in UPGMA algorithm, a node is always lies above its child nodes.