How many nodes are in the game tree? (Include terminal states) Consider the game tree below. Run the minmax with alpha-beta pruningalgorithm on this tree starting from state A (expanding nodes left to right;starting player (blue upturned triangle) is the maximizing player). Answer thefollowing questions.ABala2а3CEFGHKDM25 7 10 10 11 15 (2) (6 8 4E1 E2 F1 F2 G1 G2 G3 H1 J1 J2 K14 (3)55)(10)L1 L2 M1 M2

A total of 10 nodes can be pruned by applying alpha-beta pruning (including leaf nodes). The pruned…

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Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Consider the game tree below. Run the minmax with alpha-beta pruning algorithm on this tree starting from state A (expanding nodes left to right; starting player (blue upturned triangle) is the maximizing player). Answer the following questions. E B A al a2 а3 C D LL F G H K L M 25 7 10 10 11 15 (2) 68 4 4 3 5) (10) E1 E2 F1 F2 G1 G2 G3 H1 J1 J2 K1 L1 L2 M1 M2
Find the shortest path in graph H from w to a using a tree diagram. The tree diagram below is missing some information. What is missing? What is the shortest path? 6 4 х10 z13 2 8 a14 a17 28 a12 a 5 4 z7 x10 a22 H a17, у10, у18, а11, (w, х, z, 0) - 12 a16, y9, y18, a11, (w, s, z, a) = 11 a17, y9, y18, a11, (w, s, z, a) = 11 b d. a17, y9, y18, a11, (W, y, a) = 14 3.
A mathematician applies Prim’s Algorithm to find a minimum spanning tree for the weighted graph starting at vertex D. The order of the edges picked so far is AD, AB, BE, and EF. The next edge selected when applying Prim’s Algorithm should be BF FG CG CE What is the total weight of the tree that uses the edges DE, CE, CG, FG and BF? 93 92 91 90 The tree described in problem #8 is a spanning True False
You are given the following game tree. The top level is a maximizing level. A B D E F G 10 12 13 16 13 10 17 6 а. Give the values calculated by minimax for all the nodes labeled by letters in the tree. Do not use alpha-beta pruning. For example, the answer for node D is 12 so you will write D:12 and do the same for all the other nodes. b. Indicate which labeled nodes of the tree will be pruned by alpha-beta pruning.
Draw a binary tree on 9 vertices that satisfies all of the following three constraints. The binary tree consists of 4 internal nodes and 5 leaves. Every internal node has exactly 2 children. The root has 4 grandchildren. What is the sum of the depths of the 9 vertices? That is, each vertex has a depth. Add up the depths of 9 vertices and give the the result as your answer. If e.g. the depths were (1,5,6,4,9,4,2,8,3), the answer would 42, since 1+5+6+4+9+4+2+8+3 = 42.
Let n be 22 . Let T be a binary rooted tree with n vertices. (a) What is the least number of levels that T can have? Explain your answer. (b) What is the greatest number of levels that T can have? Explain your answer. Please answer both a and b. I will provide you positive response. Thanks
Consider the game TC(6, 3). Recall that the game starts with 6 chips and, on their turn, each player can take 1, 2 or 3 chips from the pile. The last player to take chips wins the game. Write down the game tree to answer Questions 1 through 4 The binary label on the root node "6" is: Question 2 Player 1 wins the game TC(6, 3) in rational play. True O False
Search in a tree Given the following search tree with root node S and goal state G. The states of the nodes and their heuristic values (h-value) are shown. The step costs are shown along the edges. Tie breaking is based on the alphabetical order of the node's state name, i.e., in the order of A, B, C..... D:4 2 1 6:0 A:2 1 M.S 1:6 C3 3 1 E:7 5:4 H8 89 fav F:4 K-2 11 Is the heuristic admissible? Yes No
Give the internal vertices of the ff. rooted tree: a d i k 1 т п O e, f,I, m, n O e, g, i, k, I, m, n, o, p, r, s, u O a, b, c, d, f, h, j, q, t O b, c, d, f, h, j, q, t
Here is a 2x2 go game tree (each circle shows a pass move). For each leaf (in left-to- right order, so H IDJK F G), give the Tromp-Taylor score (Black points+ territory minus White points+ territory) of that position. E.g. the first leaf has score 0. А D E F G H I J,
The following is an undirected - weighted graph. Draw the minimum spanning tree using Kruskal's Algorithm (Non-anonymous question()) (6 Points) 15 C (Н H 4 9 A 12 16 J 13 1 5 G 11 14 D FL 10 6 7 8 E 2 3 B
Correct answer will be upvoted else Multiple Downvoted. Computer science. You are given n chains of lengths l1,l2,… ,ln. You intend to fabricate a tree utilizing some of them. Every vertex of the tree is either white or dark. The tree at first just has a white root vertex. All chains at first comprise just of white vertices. You can take one of the chains and interface any of its vertices to any white vertex of the tree with an edge. The chain turns out to be important for the tree. The two endpoints of this edge become dark. Each chain can be utilized close to once. A few chains can be left unused. The distance between two vertices of the tree is the number of edges on the most brief way between them. Assuming there is essentially k white vertices in the subsequent tree, the worth of the tree is the distance between the root and the k-th nearest white vertex. What's the base worth of the tree you can get? In case it is absolutely impossible to construct…

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