If the heuristic being used is the-number-of-tiles-out-of-place,which of the following eight-puzzle will be given priority for further consideration by a heuristic search?
A) $\begin{array} { l }
123 \
45 \
786
\end{array}$

B) $\begin{array} { r }
23 \
156 \
478
\end{array}$

C) $\begin{array} { l l l }
1 & 3 \
4 & 2 & 6 \
7 & 5 & 8
\end{array}$

D) $\begin{array} { r l }
1 &3 \
4&2& 6 \
7&5&8
\end{array}$

Question

If the heuristic being used is the-number-of-tiles-out-of-place,which of the following eight-puzzle will be given priority for further consideration by a heuristic search?
A) $\begin{array} { l } 
123 \
45 \
786
\end{array}$

B) $\begin{array} { r } 
23 \
156 \
478
\end{array}$

C) $\begin{array} { l l l } 
1 & 3 \
4 & 2 & 6 \
7 & 5 & 8
\end{array}$

D) $\begin{array} { r l } 
1 &3 \
4&2&  6 \
7&5&8
\end{array}$

Quizplus · Accepted Answer

In option A, all tiles are in their correct position, indicating a heuristic value of 0, which is the lowest possible value, thus giving it the highest priority for further consideration.

If the Heuristic Being Used Is The-Number-Of-Tiles-Out-Of-Place,which of the Following 12345786\begin{array} { l } 123 \\45 \\786\end{array}12345786​

If the Heuristic Being Used Is The-Number-Of-Tiles-Out-Of-Place,which of the Following $\begin{array} { l } 123 \\45 \\786\end{array}$