Question 1
SEARCH
Figure shows an infinite state space with finite branching, where S is the start node and G is the goal node, and G is at the center of a unit circle, and the remaining nodes are on the unit circle. (Note: circular grid is shown by dashed lines which are not part of the state space.)
Take the radial distance as the heuristic value:
h(G)=0; h(S)=1; and h(Ak)=1, for all k in {1, 2, . . .}.
MoveGen returns neighbours in alphabetical order (A1,A2,..., G,S).
Tie-breaker: use alphabetical order to break ties.
Note: sum(1, a, a^2, a^3, ..., a^(n-1)) is given by ((1 - a^n)/(1 - a)).
Based on the above data, answer the given subquestions
Does the Breadth First Search find the path to the goal?
Yes
No
Cannot be determined