i need full answer not just steps

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 $1$ 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 building 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 $1.$