$k=0$ : Initialize all state value $($including terminal states$)$

$V_0(s=1)=V_0(s=2)=$cdots$=V_0(s=14)=0$

$V_0(s=T)=0,$ where $T$ is the terminal state.

Answer the following questions:

$2\mathrm{.}1$: When $k=1,$ consider updating state $14,$ via hands$-$on calculation, what is the updated state $14\text{'}$s value $V_1(s=14)?$

$2\mathrm{.}2$: When $k=1,$ consider updating state $6,$ via hands$-$on calculation, what is the updated state $6\text{'}$s value $V_1(s=6)?$

$2\mathrm{.}3$: Modify the Python code provided to show the value of each state when $k=1,k=2,k=3,k=1000$

You must include your completed modified code in your submission.