Consider the Map Coloring Problem described below: Map Coloring Problem The following map is to be colored using 3 colors, i.e., red, green and blue (denoted by numbers 1,2,3). The constraint is that neighboring regions cannot have the same color. D E C B A Problem Formulation The problem can be formulated as follows: Initial state: A list of 7 random numbers in the range 1-3, e.g., (2,1,1,3,1,2,3) Operators: 1. Change the value of one of the numbers in the list. Goal state: A list of 7 numbers in the range 1-3 that satisfy all constraints Objective Function The problem has 9 constraints as defined below: A #B B = C C# D C# F C# G D# E D# F E #F F# G Objective function is defined as: f(n) = Number of constraints satisfied Write a Python program that to implement steepest-ascent hill climbing algorithm to solve the above problem. F
Consider the Map Coloring Problem described below: Map Coloring Problem The following map is to be colored using 3 colors, i.e., red, green and blue (denoted by numbers 1,2,3). The constraint is that neighboring regions cannot have the same color. D E C B A Problem Formulation The problem can be formulated as follows: Initial state: A list of 7 random numbers in the range 1-3, e.g., (2,1,1,3,1,2,3) Operators: 1. Change the value of one of the numbers in the list. Goal state: A list of 7 numbers in the range 1-3 that satisfy all constraints Objective Function The problem has 9 constraints as defined below: A #B B = C C# D C# F C# G D# E D# F E #F F# G Objective function is defined as: f(n) = Number of constraints satisfied Write a Python program that to implement steepest-ascent hill climbing algorithm to solve the above problem. F
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Transcribed Image Text:Q-1. Consider the Map Coloring Problem described below:
Map Coloring Problem
The following map is to be colored using 3 colors, i.e., red, green and blue (denoted by
numbers 1,2,3). The constraint is that neighboring regions cannot have the same color.
D
E
G
B
A
Problem Formulation
The problem can be formulated as follows:
Initial state: A list of 7 random numbers in the range 1-3, e.g., (2,1,1,3,1,2,3)
Operators:
1. Change the value of one of the numbers in the list.
Goal state:
A list of 7 numbers in the range 1-3 that satisfy all constraints
Objective Function
The problem has 9 constraints as defined below:
A + B
B = C
C# D
C# F
C # G
D# E
D# F
E # F
F# G
Objective function is defined as: f(n) = Number of constraints satisfied
Write a Python program that to implement steepest-ascent hill climbing algorithm to solve
the above problem.
C
F
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