(a) [3 pts] For this subquestion only, the position of the robot is known, and it wants to pick up all packages in the factory. However, the robot can move North at most 2 times overall. What is the minimal size of the state space for this problem? Write your answer in the box as a product of terms that reference problem quantities (such as, but not limited to, , , and ). You may also use constants as part of your expression. For each term in your expression, also state the information it encodes. For example, you might write "4 " and write "number of directions" under the first term and "robot's position" under the second term. You will receive partial credit for a complete but non-minimal state space