1. Consider the following 3-level game tree with e-values on the leaves as shown: A+ B- E+ F+ G+ H+ J+ A L- M- N- O- P- Q- R- S- T- U- V- W- X- Y- 7 6 8 5 2 3 0 -2 6 2 5 8 9 2 a) Using a minimax evaluation, which next move should the first player (+) choose? b) If an alpha-beta search (using a DFS with a left-to-right expansion of successors) is used instead, which nodes would not have to be expanded/evaluated? c) If an optimal alpha-beta search (DFS with an optimal expansion of successors) is used instead, which nodes would not have to be expanded/evaluated?

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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1. Consider the following 3-level game tree with e-values on the
leaves as shown:
A+
B-
D-
E+
F+
H+
I+
J+
K+
^
A
ΛΛ
L-
M-
N- O- P-
Q-
R- S-
T-
U-
V-
W-
X- Y-
7 6 8 5 2 3 0 -2 6 2 5 8 9 2
a) Using a minimax evaluation, which next move should the first
player (+) choose?
b) If an alpha-beta search (using a DFS with a left-to-right
expansion of successors) is used instead, which nodes would
not have to be expanded/evaluated?
c) If an optimal alpha-beta search (DFS with an optimal expansion
of successors) is used instead, which nodes would not have to be
expanded/evaluated?
G+
Transcribed Image Text:1. Consider the following 3-level game tree with e-values on the leaves as shown: A+ B- D- E+ F+ H+ I+ J+ K+ ^ A ΛΛ L- M- N- O- P- Q- R- S- T- U- V- W- X- Y- 7 6 8 5 2 3 0 -2 6 2 5 8 9 2 a) Using a minimax evaluation, which next move should the first player (+) choose? b) If an alpha-beta search (using a DFS with a left-to-right expansion of successors) is used instead, which nodes would not have to be expanded/evaluated? c) If an optimal alpha-beta search (DFS with an optimal expansion of successors) is used instead, which nodes would not have to be expanded/evaluated? G+
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