$3.$ Q Learning

Suppose that we have $4$ rooms in a building connected by doors as shown in the figure below.

We numbered the rooms as I to $4.$ The outside of the building can be thought of as one big

room with number $5.$ Notice that doors $2$ and $3$ lead into the buildin from room $5$ the outside $.$

Build the final R and Q matrices, and draw the final state diagram with rewards assuming:

The doors that lead immediately to the goal have an instant reward of $100,$ Other doors

not directly connected to the target room have zero reward.

Each arrow contains an instant reward value as shown below:

Learning rate $0\mathrm{.}8,$ and initial state is at Room $1$

$1$ to $2=0$

$2$ to $1=0$

$2$ to $4=0$

$4$ to $2=0$

$4$ to $3=0$

$3$ to $4=0$

$3$ to $5=100$

$5$ to $3=0$

$2$ to $5=100$

$5$ to $2=0$

$5$ to $5=100$

i need full answer with draw matrix not just steps