Page 144 of your d/l copy refers to the method of BT + MRV, meaning
that FC is not needed. However, they work like hand in glove. At the
bottom of the same page, the book says FC is an efficient way to
compute MRV. Otherwise, finding the MRV involves many redundant
computations, as you've noticed.
For a more in-depth explanation, see
and look at pages 6 & 7.
--- In email@example.com, "chenyu468" <chenyu468@y...> wrote:
> Hello everyone,
> I have downloaded AIMA version 2 sample chapter 5 and am doing its
> In exercise 5.7, it requires to compare the algorithms of MRV,
> forward checking, FC+MRV, Min-conflicts.
> But I wonder is it possible to implement MRV independently without
> My impossible reasons are as follows:
> 1. MRV means "minimium remaining values". It means the unassigned
> variable with "minimium remaining values" should be selected
> The 2 implementation ideas are
> 1. to filter unassigned variables' domain everytime after
> assigning a variable.
> 2. calculate the every unassigned variable's legal domains
> everytime before select.
> The above 2nd implemenation is low efficient for repeat calculation
> on legal domains, therefore, it is a bad idea.
> So only the 1st implementation is accepted. It seems the exercise
> should be modified to "compare the algorithms of FC,FC+MRV,Min-
> What's about your idea?
> Thank you for your attention.
> Best regards/chenyu