Question: begin{tabular}{|l|l|l|l|l|} hline Node & h1 & h2 & h3 & h (optimal) hline S-Start & 5 & 5 & 5 & 8 hline

$\begin{tabular}{|l|l|l|l|l|} \hline Node & h1 & h2 & h3 & h$

$(optimal) \\ \hline S-Start & 5 & 5 & 5 & 8$

\begin{tabular}{|l|l|l|l|l|} \hline Node & h1 & h2 & h3 & h (optimal) \\ \hline S-Start & 5 & 5 & 5 & 8 \\ \hline B & 4 & 4 & 5 & 7 \\ \hline C & 5 & 3 & 2 & 4 \\ \hline D & 3 & 1 & 4 & 6 \\ \hline E & 4 & 3 & 4 & 8 \\ \hline F & 1 & 0 & 1 & 1 \\ \hline G-Goal & 0 & 0 & 0 & 0 \\ \hline \end{tabular} In the following figure: 1- Which of the three functions are admissible? show your work. 2- Which of the three functions are monotonic? show your work

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