By Devjyot Ghoshal and Uditha Jayasinghe COLOMBO (Reuters) -Leaders of Sri Lanka’s protest movement said on Sunday they would occupy the residences of the president and prime minister until they finally quit office, the day after the two men agreed to resign leaving the country in political limbo. Thousands of protesters stormed President Gotabaya Rajapaksa’s home and office and the prime minister’s official residence on Saturday, as demonstrations over their inability to overcome a devastating economic crisis erupted into violence. Rajapaksa will quit on July 13, while Prime Minister Ranil Wi…