Here is one: 1st day, arriving Taoyuan Airport and get around the city center if you have more time. 2nd day, go to Sun Moon Pool. 3rd day to Alishan Mountain. Then go to Kending where there are beach, huge rock and hot spring. Then go to Hua Lien for Taroko National Park, living in 走過虹橋 ming su in the park. On the way back to Taipei, visit Yehliu Geopark. In Taipei, go to the Imperial Palace Museum, 101 Tower, Sun Yat-sen Memorial Hall. Finnaly, leave.