People in room number 13 puzzle

Puzzle:  The person in box 13 is in his office chamber. He wants to visit every other person before leaving the office. The only condition is that he doesn’t visit or enter other chambers twice. Crack it. 🙂

Answer: The correct answer is 13 → 14 → 13 → 9 → 10 → 11 → 15 → 16 → 12 → 8 → 7 → 6 → 5 → 1 → 2 → 3 → 4.