keep its borders closed for another year. Japan is currently barring almost all nonresidents from entering the country, and intense scrutiny of overseas arrivals in China has left multinational businesses without key workers.

The immediate future for many places in Asia seems likely to be defined by frantic optimization.

China’s response to the outbreak in Guangzhou — testing millions of people in days, shutting down entire neighborhoods — is a rapid-fire reprise of how it has handled previous flare-ups. Few inside the country expect this approach to change anytime soon, especially as the Delta variant, which has devastated India, is now beginning to circulate.

has threatened residents with fines of around $450 for refusing vaccines. Vietnam has responded to its recent spike in infections by asking the public for donations to a Covid-19 vaccine fund. And in Hong Kong, officials and business leaders are offering a range of inducements to ease severe vaccine hesitancy.

Nonetheless, the prognosis for much of Asia this year is billboard obvious: The disease is not defeated, and won’t be anytime soon. Even those lucky enough to get a vaccine often leave with mixed emotions.

“This is the way out of the pandemic,” said Kate Tebbutt, 41, a lawyer who last week had just received her first shot of the Pfizer vaccine at the Royal Exhibition Building near Melbourne’s central business district. “I think we should be further ahead than where we are.”

Reporting was contributed by Raymond Zhong in Taipei, Taiwan, Ben Dooley in Tokyo, Sui-Lee Wee in Singapore, Youmi Kim in Seoul and Yan Zhuang in Melbourne, Australia.

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Global Shortages During Coronavirus Reveal Failings of Just in Time Manufacturing

In the story of how the modern world was constructed, Toyota stands out as the mastermind of a monumental advance in industrial efficiency. The Japanese automaker pioneered so-called Just In Time manufacturing, in which parts are delivered to factories right as they are required, minimizing the need to stockpile them.

Over the last half-century, this approach has captivated global business in industries far beyond autos. From fashion to food processing to pharmaceuticals, companies have embraced Just In Time to stay nimble, allowing them to adapt to changing market demands, while cutting costs.

But the tumultuous events of the past year have challenged the merits of paring inventories, while reinvigorating concerns that some industries have gone too far, leaving them vulnerable to disruption. As the pandemic has hampered factory operations and sown chaos in global shipping, many economies around the world have been bedeviled by shortages of a vast range of goods — from electronics to lumber to clothing.

In a time of extraordinary upheaval in the global economy, Just In Time is running late.

“It’s sort of like supply chain run amok,” said Willy C. Shih, an international trade expert at Harvard Business School. “In a race to get to the lowest cost, I have concentrated my risk. We are at the logical conclusion of all that.”

shortage of computer chips — vital car components produced mostly in Asia. Without enough chips on hand, auto factories from India to the United States to Brazil have been forced to halt assembly lines.

But the breadth and persistence of the shortages reveal the extent to which the Just In Time idea has come to dominate commercial life. This helps explain why Nike and other apparel brands struggle to stock retail outlets with their wares. It’s one of the reasons construction companies are having trouble purchasing paints and sealants. It was a principal contributor to the tragic shortages of personal protective equipment early in the pandemic, which left frontline medical workers without adequate gear.

a shortage of lumber that has stymied home building in the United States.

Suez Canal this year, closing the primary channel linking Europe and Asia.

“People adopted that kind of lean mentality, and then they applied it to supply chains with the assumption that they would have low-cost and reliable shipping,” said Mr. Shih, the Harvard Business School trade expert. “Then, you have some shocks to the system.”

presentation for the pharmaceutical industry. It promised savings of up to 50 percent on warehousing if clients embraced its “lean and mean” approach to supply chains.

Such claims have panned out. Still, one of the authors of that presentation, Knut Alicke, a McKinsey partner based in Germany, now says the corporate world exceeded prudence.

“We went way too far,” Mr. Alicke said in an interview. “The way that inventory is evaluated will change after the crisis.”

Many companies acted as if manufacturing and shipping were devoid of mishaps, Mr. Alicke added, while failing to account for trouble in their business plans.

“There’s no kind of disruption risk term in there,” he said.

Experts say that omission represents a logical response from management to the incentives at play. Investors reward companies that produce growth in their return on assets. Limiting goods in warehouses improves that ratio.

study. These savings helped finance another shareholder-enriching trend — the growth of share buybacks.

In the decade leading up to the pandemic, American companies spent more than $6 trillion to buy their own shares, roughly tripling their purchases, according to a study by the Bank for International Settlements. Companies in Japan, Britain, France, Canada and China increased their buybacks fourfold, though their purchases were a fraction of their American counterparts.

Repurchasing stock reduces the number of shares in circulation, lifting their value. But the benefits for investors and executives, whose pay packages include hefty allocations of stock, have come at the expense of whatever the company might have otherwise done with its money — investing to expand capacity, or stockpiling parts.

These costs became conspicuous during the first wave of the pandemic, when major economies including the United States discovered that they lacked capacity to quickly make ventilators.

“When you need a ventilator, you need a ventilator,” Mr. Sodhi said. “You can’t say, ‘Well, my stock price is high.’”

When the pandemic began, car manufacturers slashed orders for chips on the expectation that demand for cars would plunge. By the time they realized that demand was reviving, it was too late: Ramping up production of computer chips requires months.

stock analysts on April 28. The company said the shortages would probably derail half of its production through June.

The automaker least affected by the shortage is Toyota. From the inception of Just In Time, Toyota relied on suppliers clustered close to its base in Japan, making the company less susceptible to events far away.

In Conshohocken, Pa., Mr. Romano is literally waiting for his ship to come in.

He is vice president of sales at Van Horn, Metz & Company, which buys chemicals from suppliers around the world and sells them to factories that make paint, ink and other industrial products.

In normal times, the company is behind in filling perhaps 1 percent of its customers’ orders. On a recent morning, it could not complete a tenth of its orders because it was waiting for supplies to arrive.

The company could not secure enough of a specialized resin that it sells to manufacturers that make construction materials. The American supplier of the resin was itself lacking one element that it purchases from a petrochemical plant in China.

One of Mr. Romano’s regular customers, a paint manufacturer, was holding off on ordering chemicals because it could not locate enough of the metal cans it uses to ship its finished product.

“It all cascades,” Mr. Romano said. “It’s just a mess.”

No pandemic was required to reveal the risks of overreliance on Just In Time combined with global supply chains. Experts have warned about the consequences for decades.

In 1999, an earthquake shook Taiwan, shutting down computer chip manufacturing. The earthquake and tsunami that shattered Japan in 2011 shut down factories and impeded shipping, generating shortages of auto parts and computer chips. Floods in Thailand the same year decimated production of computer hard drives.

Each disaster prompted talk that companies needed to bolster their inventories and diversify their suppliers.

Each time, multinational companies carried on.

The same consultants who promoted the virtues of lean inventories now evangelize about supply chain resilience — the buzzword of the moment.

Simply expanding warehouses may not provide the fix, said Richard Lebovitz, president of LeanDNA, a supply chain consultant based in Austin, Texas. Product lines are increasingly customized.

“The ability to predict what inventory you should keep is harder and harder,” he said.

Ultimately, business is likely to further its embrace of lean for the simple reason that it has yielded profits.

“The real question is, ‘Are we going to stop chasing low cost as the sole criteria for business judgment?’” said Mr. Shih, from Harvard Business School. “I’m skeptical of that. Consumers won’t pay for resilience when they are not in crisis.”

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John Cena Apologizes to China for Calling Taiwan a Country

John Cena, the professional wrestler and a star of “F9,” the latest installment in the “Fast and Furious” franchise, apologized to fans in China on Tuesday after he referred to Taiwan as a country while giving a promotional interview.

Joining a long list of celebrities and companies that have profusely apologized after taking an errant step through China’s political minefields, Mr. Cena posted a video apology in Mandarin on Weibo, a Chinese social network.

Beijing considers Taiwan, a self-ruled democratic island, to be a breakaway province and claims it as part of China. Referring to it as a country is often an offensive assertion in China, where matters of sovereignty and territory are passionate issues driven by a strong sense of nationalism.

Mr. Cena apologized for a statement he made in an interview with the Taiwanese broadcaster TVBS. In it, he told the reporter in Mandarin, “Taiwan is the first country that can watch” the film.

Xinjiang, pro-democracy protests in Hong Kong or the status of Taiwan and Tibet.

a fierce backlash when Daryl Morey, then the general manager of the Houston Rockets, tweeted in support of the Hong Kong protests in 2019. (LeBron James, one of basketball’s biggest stars, offered a China-friendly response, saying Mr. Morey “wasn’t educated on the situation at hand” by supporting the protesters.)

Movie studios often preemptively ensure their content won’t run afoul of Chinese censors, a practice once mocked by “South Park.”

But quite often, the political problems arise in cases where a company appeared to have no idea it was accidentally crossing a line.

That list would include Gap, which in 2018 created a T-shirt that omitted Taiwan, parts of Tibet and islands in the South China Sea from a map of China on the shirt’s design. The luxury brands Versace, Givenchy and Coach said in 2019 they all made mistakes when they produced T-shirts that identified Hong Kong and Macau as countries.

“Versace reiterates that we love China deeply, and resolutely respect China’s territory and national sovereignty,” the company said in a statement at the time.

China ordered 36 airlines to remove references to Taiwan, Macau and Hong Kong as separate countries on their websites in 2018, a step the Trump administration dismissed as “Orwellian nonsense.”

That year, Marriott clarified on its Weibo account that it “will absolutely not support any separatist organization that will undermine China’s sovereignty and territorial integrity” after a customer survey listed the territories as separate countries.

Mercedes-Benz Instagram account quoted the Dalai Lama, whom many in China view as a dangerous separatist advocating Tibetan independence.

The release of “F9” was delayed for a year during the coronavirus pandemic. It drew an estimated $162 million in tickets in eight international markets, including China and South Korea, over the weekend. As the newest film in a hugely successful series, “F9” is seen by Hollywood as the kind of blockbuster needed to draw people back to theaters.

Amy Chang Chien contributed reporting from Taipei, and Claire Fu from Beijing.

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Taiwan Was a Covid Haven for Performers. Then Cases Flared.

At many venues, attendees were required to provide their names and phone numbers to be used for tracing in case of an outbreak. Masks and temperature checks were required. Some concert halls barred the selling of food and drinks. Seats at some spaces were staggered to resemble flowers, in an arrangement that came to be known in Taiwan as “plum blossom seating.”

Despite the vigilance, there were occasional scares. More than a hundred people were forced to quarantine in March of last year after coming into contact with the Australian composer Brett Dean, who tested positive for the virus after performing in Taiwan. The incident was front-page news in Taiwan, with some people fuming that Dean — whose “Hamlet” is scheduled at the Metropolitan Opera in New York next season — had been allowed to perform even though he had a cough.

Lydia Kuo, the executive director of the National Symphony Orchestra, which collaborated with Dean, said the scare taught the orchestra the importance of maintaining strict health measures even when infections were near zero.

“We were facing an unknown enemy,” she said. “We were lucky to face this reality very early.”

Taiwan’s still-active cultural scene attracted talent from around the world over the past year when many artists were without stable work and confined at home. There were visits by the Chamber Music Society of Lincoln Center, the German organist Felix Hell, and Ma, the renowned cellist, who chartered a flight to the island for a tour in November.

Many musicians with roots in Taiwan have also returned, some for an extended visit. Ray Chen, a violinist, came back in August at the urging of his family and has taken part in about 20 live concerts, master classes and music education outreach events since then. He said he was struck by the care people showed toward one another and the widespread adherence to public health rules, even when Taiwan went months without any reported infections.

“Everyone is willing to play a part,” Chen said. “Everyone values life.”

Taiwan’s strict approach has not been popular in all corners of the artistic world. After the outbreak this month, some artists questioned the government’s decision to close performance venues, concerned that it would hurt performers’ income.

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Taiwan, excluded from a world health forum, blames Chinese interference.

Taiwan’s government on Monday criticized the World Health Organization for capitulating to China after it failed to secure an invite to an annual health meeting convened by the international agency.

For months, Taiwan and a coalition of supporters, including the United States, had been intensely lobbying for the self-governed island to be granted observer status at the meeting of the World Health Assembly, or W.H.A., which began today and will be held virtually through June 1.

China, which claims Taiwan as its own territory, has blocked the island from participating in the assembly since 2016. But Taiwan’s calls for inclusion have gained international attention in light of its successful handling of the coronavirus pandemic for nearly a year and a half.

This month, the countries of the Group of 7 — Britain, Canada, France, Germany, Italy, Japan and the United States — for the first time voiced their joint support for Taiwan’s bid for observer status in the W.H.A., the top decision-making body of the W.H.O. Chinese officials condemned the G-7 announcement as “gross interference” in its internal affairs.

a statement released on Monday, Taiwan’s foreign minister, Joseph Wu, rebuked the W.H.O. for its “continued indifference” to the health of the island’s 23.5 million people and urged the organization to “maintain a professional and neutral stance” and “reject China’s political interference.”

Chen Shih-chung, Taiwan’s health and welfare minister, added that the island’s exclusion from the meeting was “not only a loss for Taiwan but also the rest of the world,” according to the statement.

“The world needs to share all available information and expertise in a collective fight against disease,” Mr. Chen said.

Taiwan’s exclusion from the meeting comes as the island’s authorities are racing to tame a surge in coronavirus infections that has prompted what is essentially its first lockdown since the start of the pandemic. After months of reporting very few locally transmitted cases of the virus, officials have confirmed more than 3,000 new cases in the past three weeks.

On Monday, the health authorities added 590 cases of local transmission to the total, including 256 infections that were confirmed because of delayed reporting. Officials also confirmed six new deaths from the virus, bringing the overall death toll to 29.

Taiwan’s health authorities on Monday also accused mainland Chinese actors of taking advantage of the outbreak to spread disinformation. Speaking at a news briefing, Chen Tsung-yen of the Central Epidemic Command Center in Taiwan said that reports of the government’s faking coronavirus data and of dead Covid-19 patients dumped in rivers had been spread by accounts linked to overseas internet addresses.

Mr. Chen added that other signs that mainland Chinese actors were involved in the spread of disinformation included the use of phrases commonly associated with the mainland and the inclusion of the simplified characters used in China, as opposed to the traditional script that is used in Taiwan.

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Risk of Nuclear War Over Taiwan in 1958 Said to Be Greater Than Publicly Known

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WASHINGTON — When Communist Chinese forces began shelling islands controlled by Taiwan in 1958, the United States rushed to back up its ally with military force — including drawing up plans to carry out nuclear strikes on mainland China, according to an apparently still-classified document that sheds new light on how dangerous that crisis was.

American military leaders pushed for a first-use nuclear strike on China, accepting the risk that the Soviet Union would retaliate in kind on behalf of its ally and millions of people would die, dozens of pages from a classified 1966 study of the confrontation show. The government censored those pages when it declassified the study for public release.

The document was disclosed by Daniel Ellsberg, who leaked a classified history of the Vietnam War, known as the Pentagon Papers, 50 years ago. Mr. Ellsberg said he had copied the top secret study about the Taiwan Strait crisis at the same time but did not disclose it then. He is now highlighting it amid new tensions between the United States and China over Taiwan.

has been known in broader strokes that United States officials considered using atomic weapons against mainland China if the crisis escalated, the pages reveal in new detail how aggressive military leaders were in pushing for authority to do so if Communist forces, which had started shelling the so-called offshore islands, intensified their attacks.

leaving them in the control of Chiang Kai-shek’s nationalist Republic of China forces based on Taiwan. More than six decades later, strategic ambiguity about Taiwan’s status — and about American willingness to use nuclear weapons to defend it — persist.

The previously censored information is significant both historically and now, said Odd Arne Westad, a Yale University historian who specializes in the Cold War and China and who reviewed the pages for The New York Times.

“This confirms, to me at least, that we came closer to the United States using nuclear weapons” during the 1958 crisis “than what I thought before,” he said. “In terms of how the decision-making actually took place, this is a much more illustrative level than what we have seen.”

Drawing parallels to today’s tensions — when China’s own conventional military might has grown far beyond its 1958 ability, and when it has its own nuclear weapons — Mr. Westad said the documents provided fodder to warn of the dangers of an escalating confrontation over Taiwan.

Gen. Laurence S. Kutner, the top Air Force commander for the Pacific. He wanted authorization for a first-use nuclear attack on mainland China at the start of any armed conflict. To that end, he praised a plan that would start by dropping atomic bombs on Chinese airfields but not other targets, arguing that its relative restraint would make it harder for skeptics of nuclear warfare in the American government to block the plan.

“There would be merit in a proposal from the military to limit the war geographically” to the air bases, “if that proposal would forestall some misguided humanitarian’s intention to limit a war to obsolete iron bombs and hot lead,” General Kutner said at one meeting.

like Neil Sheehan of The Times.

in 2017, when he published a book, “Doomsday Machine: Confessions of a Nuclear War Planner.” One of its footnotes mentions in passing that passages and pages omitted from the study are available on his website.

But he did not quote the study’s material in his book, he said, because lawyers for his publisher worried about potential legal liability. He also did little else to draw attention to the fact that its redacted pages are visible in the version he posted. As a result, few noticed it.

One of the few who did was William Burr, a senior analyst at George Washington University’s National Security Archive, who mentioned it in a footnote in a March blog post about threats to use nuclear weapons in the Cold War.

Mr. Burr said he had tried more than a decade ago to use the Freedom of Information Act to obtain a new declassification review of the study — which was written by Morton H. Halperin for the RAND Corporation — but the Pentagon was unable to locate an unabridged copy in its files. (RAND, a nongovernmental think tank, is not itself subject to information act requests.)

Mr. Ellsberg said tensions over Taiwan did not seem as urgent in 2017. But the uptick in saber-rattling — he pointed to a recent cover of The Economist magazine that labeled Taiwan “the most dangerous place on Earth” and a recent opinion column by The Times’s Thomas L. Friedman titled, “Is There a War Coming Between China and the U.S.?” — prompted him to conclude it was important to get the information into greater public view.

Michael Szonyi, a Harvard University historian and author of a book about one of the offshore islands at the heart of the crisis, “Cold War Island: Quemoy on the Front Line,” called the material’s availability “hugely interesting.”

Any new confrontation over Taiwan could escalate and officials today would be “asking themselves the same questions that these folks were asking in 1958,” he said, linking the risks created by “dramatic” miscalculations and misunderstandings during serious planning for the use of nuclear weapons in 1958 and today’s tensions.

Mr. Ellsberg said he also had another reason for highlighting his exposure of that material. Now 90, he said he wanted to take on the risk of becoming a defendant in a test case challenging the Justice Department’s growing practice of using the Espionage Act to prosecute officials who leak information.

Enacted during World War I, the Espionage Act makes it a crime to retain or disclose, without authorization, defense-related information that could harm the United States or aid a foreign adversary. Its wording covers everyone — not only spies — and it does not allow defendants to urge juries to acquit on the basis that disclosures were in the public interest.

Using the Espionage Act to prosecute leakers was once rare. In 1973, Mr. Ellsberg himself was charged under it, before a judge threw out the charges because of government misconduct. The first successful such conviction was in 1985. But it has now become routine for the Justice Department to bring such charges.

Most of the time, defendants strike plea deals to avoid long sentences, so there is no appeal. The Supreme Court has not confronted questions about whether the law’s wording or application trammels First Amendment rights.

Saying the Justice Department should charge him for his open admission that he disclosed the classified study about the Taiwan crisis without authorization, Mr. Ellsberg said he would handle his defense in a way that would tee the First Amendment issues up for the Supreme Court.

“I will, if indicted, be asserting my belief that what I am doing — like what I’ve done in the past — is not criminal,” he said, arguing that using the Espionage Act “to criminalize classified truth-telling in the public interest” is unconstitutional.

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Taiwan Faces a Surge in New Covid-19 Infections

TAIPEI, Taiwan — Closed schools and restaurants offering takeout only. Lines around the block at testing sites. Politicians on television urging the public to stay calm.

If the scenes around Taiwan this week have a distinctly early pandemic feel, it is because the coronavirus is only now washing up on the island’s shores in force. A crush of new infections has brought a swift end to the Covid-free normality that residents had been enjoying for more than a year.

By shutting its borders early and requiring two-week quarantines of nearly everyone who arrives from overseas, Taiwan had been managing to keep life on the island mostly unfettered. But all that changed after enough infections slipped past those high walls to cause community outbreaks.

For most of the past week, the government has ordered residents to stay home whenever possible and to wear masks outdoors, though it has not declared a total lockdown. Local authorities are ramping up rapid testing, though some health experts worry that too few tests are being done to stay ahead of the virus’s spread.

1,290 Covid-19 cases and 12 deaths during the entire pandemic.

Adding to the concern: Only around 1 percent of the island’s 23.5 million residents have been vaccinated against the virus so far.

happily shielded from its worst ravages.

Eight months passed last year without a single case of community transmission until an infection in December snapped the streak. Even after that, local infections cropped up only sporadically for months.

Then the tide shifted — gradually, then suddenly.

On April 14, the government began allowing crew members for Taiwanese airlines to quarantine at home for just three days after arriving on long-haul flights, down from the previous requirement of five days.

more pilots and their family members were testing positive, as were employees at a quarantine hotel.

On May 10, a pilot who had been in the United States tested positive after completing his three-day quarantine, but not before he had visited a pub and a restaurant in Taipei.

ordered into rolling 14-day home quarantines. But it was probably too late. A cluster of infections began to emerge among workers and patrons at so-called hostess bars in Taipei’s Wanhua District.

By the end of the week, daily case numbers had soared into the triple digits.

So far, the search for new infections has been concentrated in the populous cities of Taipei and New Taipei, where more than 1,600 people can receive rapid testing each day. Hospitals are also providing slower testing services.

Dr. Chiang Kuan-yu, 37, a physician at Taipei City Hospital, went to Wanhua District on Monday to help run a testing site there. He said there had been big crowds over the weekend, when the case numbers first started to rise. Some people had to wait an extra day to get tested.

“Now there are more resources for testing, so we can keep up better,” Dr. Chiang said.

Chen Shih-chung, Taiwan’s health minister and head of its Central Epidemic Command Center, has urged those with no Covid-19 symptoms and no history of contact to not even come to testing sites, lest they become infected there.

“This only will slow down our search for possible spreaders,” Mr. Chen said in a news briefing. “Don’t go there thinking, ‘Oh, maybe I’m infected, maybe it’s best that I get tested.’ You absolutely must not come.”

early March, and it has since been gradually immunizing health workers and other priority groups. Officials say doses of the Moderna vaccine will arrive soon. Several Taiwanese companies are also developing vaccines.

Taiwanese authorities began working with domestic vaccine producers in January 2020, after the coronavirus’s genetic sequence was made available and before the Chinese city of Wuhan went into lockdown.

“Taiwan got started extremely early,” said Dr. Ho Mei-shang, a research fellow at the Institute of Biomedical Sciences at Academia Sinica in Taipei who was involved with the government’s vaccine efforts. “We said at the time, ‘Whatever the vaccine ends up being, we want make it ourselves as quickly as possible.’”

But Taiwan’s insistence on developing and producing its own immunizations may have made officials less quick to snap up overseas vaccines when those started becoming available, Dr. Ho said.

“And then,” she said, “by the beginning of this year, when the pandemic was so severe in so many countries, we just said we’ll wait a little.”

Even after the AstraZeneca vaccine first became available in Taiwan, the low case count meant many people felt no urgent need to get immunized.

Still, Dr. Ho said she was heartened to see how quickly people in Taiwan were adjusting to the new restrictions on daily life, even after such a carefree past year.

Recently, she went for a run at 10 p.m. and forgot to wear her mask at first. But she noticed that even at that hour, everyone else who was out walking and exercising was masked up.

“This is a state of affairs,” she said, “that really sets Taiwan apart.”

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Traveling to Europe? A Country-by-Country Reopening Guide

Infections and deaths in Turkey from the coronavirus have been declining steadily following a strict three-week national lockdown, which is expected to be lifted gradually through May.

Turkey so far has fully vaccinated about 13 percent of its population of 83 million people; about three million more have received their first dose, according to Our World in Data, an online compendium of data from global sources.

While the country is currently facing a vaccine shortage, forcing it to delay the administration of second doses, the health minister, Fahrettin Koca, said 30 million more doses of the Pfizer-BioNtech vaccine would arrive in June and 50 million doses of the Sputnik V vaccine are expected to arrive from Russia within six months.

Turkey has remained open to tourists, including Americans, throughout the pandemic. Most international arrivals are required to show proof of a negative PCR test taken within 72 hours of their arrival into the country.

Coronavirus tests are not required for passengers arriving from places that Turkey considers epidemiologically safe, which include Hong Kong, China, Taiwan, Vietnam, Australia, New Zealand, Singapore, Thailand, South Korea, Israel, Japan, Latvia, Luxembourg, Ukraine and Estonia.

Passengers arriving from Brazil, South Africa and India will be required to quarantine for 14 days in government-assigned accommodations and will be released if they test negative for the virus after day 10.

Turkey offers health insurance packages starting at as little as $15 that cover foreign visitors for Covid-19 treatment and hospitalization for up to 30 days. The country treats coronavirus patients in both public and private hospitals and opened 17 new hospitals last year to provide more intensive-care capacity for Covid treatment.

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Wall Street tumbles, with tech leading the way. Bitcoin’s drop takes crypto stocks with it.

Tesla was one of the worst-performing stocks in the market on Wednesday, tumbling more than 4 percent. The company had once positioned itself as a prominent supporter of cryptocurrencies, and in March, it announced that it would accept Bitcoin in exchange for cars, helping to set off a surge in the asset.

Last week, Elon Musk, the company’s chief executive, reversed that decision, citing concerns about the energy consumption needed to produce cryptocurrencies. That process, known as mining, involves a using computers to create new Bitcoin by having them solve complex computational problems.

The hard drive maker Seagate Technology — which has a stake in cryptocurrency company Ripple, the creator of the XRP currency — tumbled more than 2 percent. Shares of Seagate and Western Digital, another maker of hard drives, had been on a tear in recent days, as analysts spotlighted surging demand for its computer products, in part, from cryptocurrency miners. Western Digital was down nearly 3 percent.

Bitcoin wasn’t the only element moving the markets. Crude oil tumbled roughly 4 percent, on lingering concerns that the still-spreading coronavirus in India, as well as Thailand, Vietnam and Taiwan, could prompt new restrictions that could curtail economic activity.

The Stoxx Europe 600 index was 1.5 percent lower, while the FTSE 100 in Britain was down 1.3 percent. Stock markets in Asia ended the day mainly lower, with the Nikkei in Japan down by 1.3 percent.

Volatility in the stock markets lately has been driven by sentiment about inflation. Investors are nervous that a jump in prices —  coming as global economies reopen and as the government continues to pump stimulus funds to spur growth — could push the Federal Reserve and other central banks to raise interest rates or take other measures to cool growth. That would be bad news for riskier investments like stocks.

The Fed and other central banks have said they see the recent increases as transitory caused partly by supply chain issues as economies revive from lockdowns, and that they have no plans to remove emergency support for the economy.

Federal Reserve policymakers will release the minutes from their April meeting on Wednesday.

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Apple’s Compromises in China: 5 Takeaways

Apple has created an internal bureaucracy that rejects or removes apps the company believes could run afoul of Chinese rules. Apple trains its app reviewers and uses special software to inspect apps for any mention of topics Apple has deemed off limits in China, including Tiananmen Square, the Chinese spiritual movement Falun Gong, the Dalai Lama, and independence for Tibet and Taiwan.

Apple said it removes apps in China to comply with local laws.

In 2018, China’s internet regulators ordered Apple to reject an app from Guo Wengui, a Chinese billionaire who had broadcast claims of corruption inside the Communist Party. Top Apple executives then decided to add Mr. Guo to Apple’s “China sensitivities list,” which meant software would scan apps for mention of him and app reviewers would be trained to reject his apps, according to court documents.

When an app by Mr. Guo later slipped by Apple’s defenses and was published to the App Store, Chinese officials contacted Apple wanting answers. Apple’s app review chief then sent colleagues an email at 2:32 a.m. that said, “This app and any Guo Wengui app cannot be on the China store.” Apple investigated the incident and later fired the app reviewer who had approved the app.

Apple said that it had fired the app reviewer for poor performance and that it had removed Mr. Guo’s app in China because it had determined it was illegal there.

Since 2017, roughly 55,000 active apps have disappeared from Apple’s App Store in China, with most remaining available in other countries, according to a Times analysis.

More than 35,000 of those apps were games, which in China must get approval from regulators. The remaining 20,000 cut across a wide range of categories, including foreign news outlets, gay dating services and encrypted messaging apps. Apple also blocked tools for organizing pro-democracy protests and skirting internet restrictions, as well as apps about the Dalai Lama.

Apple disputed The Times’s figures, saying that some developers removed their own apps from China.

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