Draw the state space tree for the 5-Queen problem with a branching factor of 2. Show a local maxima in the state space tree if Hill Climbing is used to solve the problem. Note that you do not have to draw the whole state space tree. You can make up an initial state of your choice.

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A: Basically it converges 85 times of the area, then it has a finite area and infinite perimeter.

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A: We need to modify the graph such that it contains 10 vertices. Modified graph:

Q: Find a Domineering position of type L with at most four squares. Repeat for types R, N, and P.

A: Below i have answered:

Heuristic System

The term heuristic is derived from the Greek word heurisko, which means “I find, discover”. Heuristics can be mental shortcuts or approaches designed from previous experiences. The main aim of the heuristic approach is to find a good enough solution to solve the problem. Test and mistake, rule of thumb, or an educated estimate are all examples of heuristics. These methods are sufficient for achieving an immediate, brief aim. When a heuristic is used in practice, it works as predicted. It can, however, produce systematic errors. Trial and error is an important heuristic that may be used in a variety of situations, from cross-linking nuts and bolts to determining the values of given input variables in mathematical puzzles. Additional hypotheses, visual illustrations, simplification, and forward or backward reasoning are all common heuristics in mathematics.