$1.$Propose a simple state representation.

$2.$ What is the initial state?

$3.$ What is the goal state?

$4.$ What are the actions?

$5.$ Draw the state space using Uniform Cost Search $($UCS$),$ considering all possible actions

the robot can take. Create a simple tree that shows how the robot moves and where it

refuels, until it reaches the base $($stop after showing $3$ levels of the tree$).$

$6.$ What kind of environment is this problem set in$?$

$7.$ What type of agent is the robot? Explain your answers.