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Speculation about Kim's health erupted after his unprecedented absence from April 15 celebrations to mark the birthday of his late grandfather and North Korea's founder, Kim Il Sung.
Kim has not appeared in public for over two weeks and was absent from a key event on Friday, amid rumours that he had heart trouble.
South Korean and US officials have said the North Korean authorities had ordered the assassination of Kim Jong Nam, who had been critical of his family's dynastic rule.