$[15$ points$]$ Consider the following grid environment in which $(1,1)$ is the start state, $(3,4)$ and $(2,4)$ are the terminal states. Given the reward value for every non$-$terminal state $R(s)=-\mathrm{.}03,$ the reward values for the terminal states $+1$ and $-1$ respectively and the transition model as illustrated below, calculate the utility values of $A,B,$ and C states up to the second iteration. Assume that the discount

Transition model: