Question

We are given the following CSP problem.

The variables and domains are as follows.

A: {4, 5, 6, 7, 8}

B: {10, 20, 30, 40}

C: {2, 3, 4}

D: {28, 43, 56, 77, 94, 114}

The constraints are:

A + C is odd.

A + D is a square of an integer.

B + D < 60.

Solve this problem using the following heuristics and
algorithms.

• Use backtracking search.

• For variable ordering, use MRV. If there are ties, use degree to
break

them. If there are still ties,

break them in alphabetical order.

• For value ordering, order values from smallest to largest.

• For inference, use forward checking.

Please show the search tree and the stack of the domains (see
the

lectures for examples). When the

search backtracks due to an empty domain, show it clearly on your
search

tree. Write down the final

solution, if there is any.

(Languge use By Hand)

Answer #1

Given that,

The variables and domains are as follows.

A: {4, 5, 6, 7, 8}

B: {10, 20, 30, 40}

C: {2, 3, 4}

D: {28, 43, 56, 77, 94, 114}

The constraints are:

A + C is odd.

A + D is a square of an integer.

B + D < 60.

Consider below image which shows the required solution paths:

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