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Consider the figure depicting constraint network 1. The nodes represent variables A, B, C, and D. The numbers in each node are the domain
Consider the figure depicting constraint network 1. The nodes represent variables A, B, C, and D. The numbers in each node are the domain of that variable. A link between nodes represents a constraint, enforcing the condition that the two variables, when sorted in alphabetical order, will have their values in descending numerical order. In other words, the constraints enforce the conditions A>B, A>C, B>D, and C>D. B3 2,3,4 A 1,2,3 D 1,2,3 C 3,2,1 Constraint network 1 6. Refer to Constraint Network 1 (see diagram). Apply the Backtracking with Forward Checking algorithin. Use a fixed variable ordering in the search (A,B,C,D) and consider the values in the order shown in the diagram. Stop when you reach the first solution, or the end of the search tree if no solution exists. Write the sequence of assignment of values to variables using the following format: For each step in the sequence, indicate the variable name and the value assigned for the variable. Use hyphen as delimeter. Spaces are not allowed in your answer. Do not put any spaces in between the variable names, assigned values and hyphens. Sample answer: A2-B2-B3-C3-C2-D3-D2 Answer: Step 2 Step 3 Step 1 Sample answer: A2-B3-B1-C3-C2-D3-D2 Variable name: B Assigned value: 3 Variable name: A Assigned value: 2
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