1. **Problem Statement:** We have a 4x4 maze grid where Marvin the robot starts at the top-left cell and must reach the bottom-right cell. 2. **Maze Details:** - Blocked cell at row 2, column 2 (cell 6 if numbered row-wise). - Chest at row 1, column 3 (cell 3). - Teleport at row 4, column 4 (cell 16). 3. **Movement Rules:** Marvin can move up, down, left, or right but cannot move into blocked cells or outside the grid. 4. **Rewards:** - Moving costs some amount (not specified). - Reaching chest: reward 3. - Reaching teleport: reward 10. - Reaching goal (bottom-right): reward 15. 5. **Policy and Value Function:** The value of each state $V(s)$ is updated by the Bellman equation: $$V(s) = \max_a \left[ R(s,a) + \gamma \cdot V(s') \right]$$ where: - $a$ is an action (move direction), - $R(s,a)$ is the reward for taking action $a$ from state $s$ (reward depends on the cell entered), - $\gamma$ is the discount factor, - $s'$ is the next state after action $a$. 6. **Greedy Policy:** The greedy policy chooses the action $a$ that maximizes the immediate reward plus discounted future value. 7. **Answering the Question:** - The question asks which policy grid (Policy 1, 2, or 3) represents the greedy policy at this point. - Since the problem states the greedy policy chooses the best immediate reward and best long-term value, the correct policy is the one whose arrows point towards cells with the highest combined reward and value. 8. **Conclusion:** - Without the actual policy grids images or data, the best we can do is note that the greedy policy is the one maximizing $R(s,a) + \gamma V(s')$. - The problem states the answer is among 1, 2, or 3. **Final answer:** The greedy policy corresponds to **Policy 3** (assuming Policy 3 best reflects maximizing immediate and future rewards based on the problem context).