TOKYO/BEIJING (Reuters) – Hundreds of passengers trundled off a cruise ship in Japan on Wednesday after being held on board in quarantine for more than two weeks, as criticism mounted of Japan’s handling of the biggest coronavirus outbreak outside China. Even as passengers rolled their luggage off the Diamond Princess cruise liner, Japanese authorities announced 79 new cases had been discovered on board, bringing the total above 620, well over half of the known cases outside mainland China. In China itself, the death toll from the coronavirus climbed above 2,000, but the tally of newly reported cases fell for a second day to the lowest since January, offering hope and helping Asian shares and U.S. stock futures rise. China is struggling to get its economy back on track after imposing severe travel restrictions to contain a virus that emerged in the central province of Hubei late last year. For more Reuters coverage, click: reut.rs/2PanSBA Reuters graphics on the new coronavirus: tmsnrt.rs/2GVwIyw Beyond mainland China, six people have died from the disease, and governments around the world are trying to prevent it from spreading into a global epidemic. The Diamond Princess has been quarantined at a dock at Yokohama near Tokyo since Feb. 3, initially with 3,700 people aboard. The rapid spread of the disease on board led to criticism of the Japanese authorities just months before Japan is due to host the Olympics. From Wednesday, passengers who tested negative and showed no symptoms were free to leave. Around 500 were expected to disembark on Wednesday, with the rest of those eligible leaving over the next two days. Confirmed cases were to be sent to hospital, while those who shared cabins with infected passengers may still be kept on board. Related CoverageSpeed science: The risks of swiftly spreading coronavirus researchWhat, us worry? 80-year-old U.S. couple smiles through virus quarantineSee more stories Around half of the passengers and crew are Japanese, and are free to go home once cleared to leave. Other countries have said they will fly passengers home and quarantine them on arrival. The United States flew more than 300 passengers to air bases in California and Texas this week. “I am very keen to get off this ship,” Australian passenger Vicki Presland told Reuters over a social-media link. She was among a group of Australians getting off to catch an evacuation flight back to 14 days of quarantine in the city of Darwin. Matthew Smith, an American passenger who remained on board after declining the U.S. evacuation earlier this week, tweeted video of passengers departing with their suitcases. “Captain wishes ‘Arrivederci’ to the guests departing the ship today but omits his usual ‘Buon Appetito’ to those of us who are still awaiting our fates. Hey, what are we – chopped liver?!” he wrote. “COMPLETELY INADEQUATE” Infectious disease specialist Kentaro Iwata of Japan’s Kobe University Hospital, who volunteered to help aboard the ship, described the infection control effort on board as “completely inadequate” and said basic protocols had not been followed. “There was no single professional infection control person inside the ship and there was nobody in charge of infection prevention as a professional. The bureaucrats were in charge of everything,” he said in a YouTube video. Health Minister Katsunobu Kato defended Japan’s efforts. “Unfortunately, cases of infection have emerged, but we have to the extent possible taken appropriate steps to prevent serious cases,” Kato said in a report by state broadcaster NHK. The U.S. Centers for Disease Control and Prevention (CDC) said Japan’s efforts “may not have been sufficient to prevent transmission among individuals on the ship.” Clyde and Renee Smith, 80-year-old American cruise passengers hospitalised in Japan since testing positive for the virus on Feb. 3, learned on Wednesday they were still positive. “We are very happy here,” Clyde said from the couple’s hospital room in western Tokyo. “They’re taking excellent care of us. This is the newest, fanciest hospital I’ve ever seen.” From the start, experts raised questions about quarantine on the ship. Passengers were not confined to rooms until Feb. 5. The day before, as passengers were being screened, events continued, including dances, quiz games and an exercise class. BETTER DAY IN CHINA In China, the National Health Commission reported 1,749 new cases, the fewest since Jan. 29. There were just 56 new cases outside Hubei, epicentre of the outbreak, down from a peak of 890 on Feb. 3. The latest figures bring the total number of cases in China to more than 74,000, with 2,004 deaths, three-quarters of them in Wuhan, Hubei’s provincial capital, where the virus originated in a market illegally selling wildlife. On top of tough steps taken to isolate Hubei, state media reported the province would track down anyone who visited doctors with fever since Jan. 20 or bought over-the-counter cough and fever medication. Chinese officials have said the apparent slowdown in infection rates is evidence that the strict measures are working. Epidemiologists outside China have said in recent days that reports from there are encouraging, but it is still too early to predict whether the epidemic will be contained. Chinese officials have been putting on a brave face, saying the economic impact of the virus would be limited and short-term. President Xi Jinping said China could meet its 2020 economic targets. An international consensus appears to be forming that the economic harm will be limited if the virus is swiftly contained. International Monetary Fund Managing Director Kristalina Georgieva said in a blog post that China’s economy would bounce back quickly if the disruptions end soon. In a note prepared for an upcoming summit of G20 finance ministers and central bankers, the IMF stuck to its forecast from last month of 3.3% global economic growth for 2020, up from 2.9% last year. But that scenario assumes a quick containment of the virus and a bounce-back later in the year, it said. “A wider and more protracted outbreak or lingering uncertainty about contagion could intensify supply chain disruptions and depress confidence more persistently, making the global impact more severe,” the IMF said in the note.