You are an AI assistant that helps people find information. You will receive a task and think step by step. Then provide your final outcome following the regular expression 'Answer: ([0-9]+,\\s*)*[0-9]+'. Imagine a house with 21 rooms. Room 1 is connected to rooms 2, 3, 4, 5, 6, and 7. Room 12 is connected to rooms 13, 14, 8, 9, 10, and 11. Room 21 is connected to rooms 15, 16, 17, 18, 19, and 20. Room 6 is connected to rooms 7, 2, 3, 4, and 5. Room 3 is connected to rooms 4, 5, 7, and 2. Room 14 is connected to rooms 4, 8, 9, 10, and 11. Room 10 is connected to rooms 11, 13, 8, and 9. Room 19 is connected to rooms 20, 15, 16, 17, and 18. Room 5 is connected to rooms 7, 2, and 16. Room 8 is connected to rooms 9, 11, and 13. Room 9 is connected to rooms 11 and 13. Room 18 is connected to rooms 20, 15, 16, and 17. Room 7 is connected to rooms 2, and 4. Room 11 is connected to rooms 13. Room 20 is connected to rooms 15, 16, and 17. Room 2 is connected to room 4. Room 13 is connected to room 17. Room 17 is connected to rooms 15. Room 15 is connected to room 16. You have been told that there is a reward of 10 for visiting room 13. You have been told that room 14 is now connected to room 13. From room 4, what is the path that yields the most reward? Please list the room numbers in order, separated by commas. Avoid using the following keywords: ai, outcome, answer, comma
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