Two years ago, after the deadliest mass shooting in Canada’s history took place in Nova Scotia, his government banned military-style assault weapons. Last week, it carried out previously announced firearms record-keeping regulations.

As of May 18, Canadians who purchase a nonrestricted firearm, basically a rifle or shotgun, must provide identification as well as a valid firearms license. Businesses are required to keep these records, which may be viewed by the police with a warrant.

“Conservatives very much associate themselves now with the opposition to gun control, but that wasn’t always the case,” Blake Brown, a history professor at Saint Mary’s University in Halifax, told me. He said that Liberals and Conservatives passed firearms control measures in the 1950s and 1960s, and that both parties strengthened Canada’s gun laws in the years following the 1989 Montreal massacre.

“Certainly there have been periods in American history where they’ve been more aggressive in gun control than in Canada,” he said. “But, overall, the trend has been that Canada has seen themselves differently when it comes to firearms.” That has led to stricter gun laws amid fears of importing American gun violence.

It found that shotguns and rifles in Canada’s illegal market generally enter the system through legal purchases. That’s unlike illicit handguns, it said, which tend to be smuggled into Canada.

Since there is no systemic data collection on the origins of crime guns, one internal Statistics Canada presentation I read emphatically placed it in the “What we don’t know” category.

Without gun tracing and better data, the full picture of the United States’ effect on gun crimes in Canada will remain incomplete and based on haphazardly-tracked incidents like that of the gun-toting drone.

Faced with the example of Notre Dame, and the realization that something similar could happen to an Irish national treasure, the government pledged €25 million, with the college and private donors adding €65 million more.

In the meantime, visitors are still coming in droves to the library, Dublin’s second most popular attraction for overseas tourists (the Guinness brewery is first). Among the treasures on view is the Book of Kells — an exquisitely crafted ninth-century gospel that is the greatest surviving relic of Ireland’s early Christian golden age.

Ms. Shenton said she had twice hosted Joseph R. Biden Jr. at the library, the first time when he was vice president (“he came in 20 big black cars with Secret Service people”) and a second when he was a private citizen again (“he just walked down here by himself”).

“Back in the 18th century, Trinity was the university of the Irish Enlightenment,” he said, an alma mater to writers and thinkers like Edmund Burke, Oliver Goldsmith and Jonathan Swift.

When the books are all gone, specialists will go to work on the Long Room, upgrading visitor facilities, repairing damage and shoring up defenses against four age-old enemies: time, damp, pollution and, most pressing, fire.

A contractor is being sought to build a “burn room” — an exact model of the Long Room and its contents — to be ignited so specialists can study the best way to hold back the flames.

To slow the inevitable long decay of the books, and to protect them from dust and acidic particles seeping in from city traffic, new microthin clear covers, or “slip cases,” are being designed for each volume.

“I’m a conservator. Librarians are our enemy. We say, ‘Don’t touch that old book!’ and they want to let people open it and read it!”

To preserve the tourist experience for as long as possible — a key source of college income — the shelves most visible to visitors will be the last to be cleared. The Book of Kells and other precious artifacts will be temporarily displayed in the college’s 18th-century Printing House until an enhanced exhibition space is ready under the upgraded Long Room.

In 2006, the man’s remains were exhumed, but DNA extracted from his teeth yielded no match with a list of people Navy officials thought might be his descendants. With few leads, the scientist who conducted the DNA test, Jeremy Austin, told the Navy about an emerging technique that could predict a person’s ancestry and physical traits from genetic material.

In Australia, forensic scientists are repurposing the technique to help link missing persons with unidentified remains in the hope of resolving long-running mysteries. In the case of the sailor, Dr. Austin sent the sample to researchers in Europe, who reported back that the man was of European ancestry and most likely had red hair and blue eyes.

The predictions from DNA phenotyping — whether a person had, say, brown hair and blue eyes — will be brought to life by a forensic artist, combining the phenotype information with renderings of bone structure to generate a three-dimensional digital facial reconstruction.

This forensic tool, which has been slowly advancing since the mid-2000s, is similar to genetic tests that estimate risks for certain diseases. About five years ago, scientists with the Australian Federal Police began developing their own version of the technology, which combines genomics, big data and machine learning. It became available for use last year.

That alone wasn’t enough to identify the sailor, but it narrowed the search. “In a ship full of 645 white guys, you wouldn’t expect to see more than two or three with this pigmentation,”

“It’s an investigative lead we’ve never had before,”

In the United States, police departments have for years been using private DNA phenotyping services, like one from the Virginia-based Parabon NanoLabs, to try to generate facial images of suspects. The images are sometimes distributed to the public to assist in investigations.

Many scientists, however, are skeptical of this application of the technology. “You cannot do a full facial prediction right now,” said Susan Walsh, a professor of biology at Indiana University-Purdue University Indianapolis who developed some of the earliest phenotyping methods for eye and hair color. “The foundation of the genetics is absolutely not there.”

Facial image prediction has been condemned by human rights organizations, including the A.C.L.U., which suggest that it risks being skewed by existing social prejudices.

The same DNA was then linked to dozens of serious crimes across Western Europe, prompting a theory that the perpetrator was a serial offender from a traveling Roma community.It turned out that the recurring genetic material belonged to a female Polish factory worker who had accidentally contaminated the cotton swabs used to collect the samples.

“The families want any and all techniques applied to these cases if it’s going to help answer the question of what happened,” she said.

Such was the case with the mystery sailor. After his genotype was sequenced and his phenotype predicted, a team of scientists across several Australian institutions, including Dr. Ward’s program, used this information to track down a woman they believed to be a living relative of the soldier. They checked her DNA and had a match.

Water pumps powered by cheap and highly efficient solar panels are able to drill deep down into rapidly dwindling desert aquifers. The solar panels have helped generate bumper opium harvests year after year since farmers in southern Afghanistan’s poppy-growing belt began installing them around 2014.

The opium trade earned about $1.8 billion to $2.7 billion last year, the United Nations has estimated. Opium sales have provided 9 to 14 percent of Afghanistan’s gross domestic product, compared with 9 percent provided by legal exports of goods and services.

The solar arrays have been central to ensuring Afghanistan’s status as the global leader in opium.

The Taliban, for their part, have condemned opium as anti-Islamic, as Afghanistan’s poppy crop sustains addicts in Europe and the Middle East, as well as a huge number inside Afghanistan. But given their own deep ties to opium smuggling during the insurgency, Taliban leaders are walking a fine line between hypocrisy and holiness.

Now, solar power is a defining feature of southern Afghan life. Tiny solar panels power light bulbs in mud huts, and solar-driven pumps irrigate cash crops like wheat and pomegranates, as well as subsistence farmers’ vegetable plots.

The panels, which supplanted more expensive and less reliable diesel to run water pumps, have helped turn the desert green.

Opium farmers now rely on at least 67,000 solar-power-fed water reservoirs across Afghanistan’s desert southwest, according to a European Union-funded research project by David Mansfield, a consultant who has studied illicit economies and rural livelihoods in Afghanistan for two decades.

“For many opium farmers, abundant water is now a given,” he said. “No one perceives it to have a cost.”

“Do not destroy the fields, but make the fields dry out,” Gov. Maulave Talib Akhund said in a statement. He added, “We are committed to fulfilling the opium decree.”

The opium ban was met with a collective shrug this spring by southern farmers, many of whom were already harvesting their spring crops. Opium prices surged almost immediately, several farmers said, to roughly $180 per kilogram from $60 per kilogram.

But the Taliban have vowed to crack down on farmers who try to cultivate any new crops.

Dr. Mansfield said that determining how long the aquifers could continue to supply water was uncharted territory because no one had been able to conduct a rigorous scientific study of the desert groundwater.

“We have to continue to dig our wells deeper and deeper,” Mr. Armani said.

Even when prices are high, many poppy farmers say, they earn only about $2 a day for each family member. They are at the very bottom of a narcotic trafficking system in which profits increase exponentially from growers to middlemen to processing labs to major cross-border traffickers.

Farmers whose poppy fields were plowed under by the previous government could send their sons to paying jobs as soldiers or police officers — or to the constellation of unskilled jobs provided by the United States and NATO. But those options are gone, and unemployment has soared under the Taliban.

“Growing poppies is the only option to survive right now,” he said.

“It looks like modest progress because it is modest progress,” said Mr. McTernan, while adding that it was still a “massive rebalancing” after the 2019 defeat.

And while the Conservatives lost badly in recent local elections, Labour has made only limited progress, with smaller parties doing well.

He promptly promised that he would resign if he were fined by the police — in contrast to Mr. Johnson, who suffered that fate in April but refused to quit.

In the 2019 general election, parts of England that for decades had voted for Labour switched en masse to the Conservatives, allowing Mr. Johnson to recast the political map just as Donald J. Trump did in the United States in 2016.

Even he accepts that Labour is not yet in a solid, election-winning position.

In 2019, the Conservatives captured areas like Burnley, in Britain’s postindustrial “red wall,” and Labour polled poorly in Scotland, once another heartland, losing out to the Scottish National Party.

So Labour is hosting a series of town-hall meetings where uncommitted voters are asked what would lure them back to the party.

“It broke my heart in 2019 when I watched communities where I grew up and that I call home turning blue for the first time in history,” said Ms. Nandy, referring to the campaign color used by the Conservatives.

The reason, she thinks, is that politicians spend too much time in London and too little “on people’s own territory having conversations with them about things that matter to them.”

“I don’t think anyone is expecting full policy across the board until the time of the next election,” she said. “A lot of what we need to do is about rebuilding our relationship with the country and setting out our values, and people need to get to know the Labour Party again.”

“I know so many progressives who think that politics is like a football game: If you have a 10-point plan on health and your opponents only have a five-point plan you win 10 to 5,” Mr. McTernan said. “You don’t.”

To succeed, the party needs to convince people like Ged Ennis, the director of a renewable energy company that equipped Burnley College with solar panels. He has voted for Labour and the Conservatives over the years, but opted for the centrist Liberal Democrats in 2019.

“I think what he needs to do is to be brave and to be really clear about what he wants to deliver,

With Mahinda Rajapaksa, the president, then at the peak of his powers, he did what many nationalist strongmen do: erect tributes to himself.

That’s now all gone. Sri Lanka is an international basket case whose foreign reserves — which once stood at over $6 billion under the Rajapaksas — have dwindled to almost nothing.

The collapse is partly a result of the loss of tourism during the pandemic, a problem made worse as war has kept away many of the Russians and Ukrainians who used to visit in large numbers. But the family’s economic mismanagement and denial of festering problems have also contributed mightily.

With food prices rising, electricity often cut and lifesaving medicines scarce, protesters have pushed Mr. Rajapaksa, 76, out of his latest position — prime minister — and are demanding that his brother Gotabaya, 72, give up the presidency.

Just outside the private residence of Mr. Rajapaksa, the Carlton House, they tied ropes to a gold-colored statue of his father, D.A. Rajapaksa. When they couldn’t drag it down, they dug under its feet until it collapsed. And around the corner from the family’s sprawling ancestral estate, they torched the museum memorializing the resting place of the patriarch and his wife.

“Whatever the politics, they shouldn’t have done this to their parents’ resting place.”

Before the economy crashed, she would sell 30 to 40 pots a day. That number has since dropped to about 20, as people have saved for other necessities. Most days in recent weeks, she has come back with half of her stack of 15 unsold.

During her grocery trips, she can buy only half of what she did in the past.

She was clear about who was to blame: the Rajapaksas.

“If you are investing in debt, you should really be looking at return — and quick return. You can’t do all your long-term, hard infrastructure projects on debt,” said Eran Wickramaratne, a former banker turned state minister of finance. “We completely overleveraged ourselves, and the returns are not there.”

With their power consolidated, they announced broad tax cuts — rapidly undoing the work of aligning Sri Lanka’s spending more with its means — and made a disastrous decision to ban chemical fertilizers in hopes of turning the country toward organic farming.

At the airport, which for a time was used to store grain, the only outsiders are the crews of occasional cargo flights, or groups of curious villagers on tours to see the complex. The cricket stadium, where the scoreboard clock is stuck in some afternoon past, was at one point rented out as a wedding venue to produce some revenue. It has a capacity of 35,000, more than the town of Hambantota’s entire population, 25,000.

“But these megaprojects were meaningless,” he said. “This region still has elephants crossing the roads, and people are still cultivating paddy as a livelihood. So these projects were unnecessary.”

“They did a lot — they won the war, they built roads,” Ms. Niroshani said.

But what about economic hardship, Ms. Wijeyawickrama asked.

“In a few days it may be that we have nothing to eat.”

But it also remade the political calculus for Mr. Petro. Now, it is Mr. Petro who is billing himself as the safe change, and Mr. Hernández as the dangerous leap into the void.

“There are changes that are not changes,” Mr. Petro said at a campaign event on Sunday night, “they are suicides.”

The story line was: left versus right, change versus continuity, the elite versus the rest of the country.

Still, Colombia’s right-wing establishment has begun lining up behind him, bringing many of their votes with them, and making a win for Mr. Petro look like an uphill climb.

“The Colombian right has reached such an extremely disastrous stage,” said Mr. Posada, “that they prefer a government that offers them nothing as long as it is not Petro.”

At 77, Mr. Hernández built much of his support on TikTok, once slapped a city councilman on camera and recently told The Washington Post that he had a “messianic” effect on his supporters, who he compared to the “brainwashed” hijackers who destroyed the twin towers on 9/11.

Until just a few days ago, Colombia’s political narrative seemed simple: For generations, politics had been dominated by a few wealthy families, and more recently, by a hard-line conservatism known as Uribismo, founded by the country’s powerful political kingmaker, former president Álvaro Uribe.

But voter frustration with poverty, inequality and insecurity, which was exacerbated by the pandemic, along with a growing acceptance of the left following the country’s 2016 peace process with its largest rebel group, the Revolutionary Armed Forces of Colombia, or FARC, seemed to shift the dynamic.

It also reveals that the narrative was never so simple.

Mr. Hernández, who won 28 percent of the vote, has attracted a broad swath of voters eager for change who could never get on board with Mr. Petro.

Mr. Hernández, with his fuzzy orange hair and businessman’s approach to politics, has also attracted voters who say they want someone with Trumpian ambition, and are not troubled if he is prone to tactlessness. (Years after saying he was a follower of Adolf Hitler, Mr. Hernández clarified that he meant to say he was a follower of Albert Einstein.)

Two of the country’s biggest issues are poverty and lack of opportunity, and Mr. Hernández appeals to people who say he can help them escape both.

“Political people steal shamelessly,” said Álvaro Mejía, 29, who runs a solar energy company in Cali.

He says he prefers Mr. Hernández to Mr. Petro, a longtime senator, precisely because of his lack of political experience.

If Mr. Hernández can walk that difficult line — courting the establishment’s votes without tarnishing his image — it could be difficult for Mr. Petro to beat him.

As the results became clear, Mr. Hernández’s supporters rushed to his campaign headquarters on one of the main avenues in Bogotá, the capital.

Many wore bright yellow campaign T-shirts, hats and ponchos, which they said they’d bought themselves instead of being handed out free by the campaign, in keeping with Mr. Hernández’s cost-cutting principles.

“He is a phenomenon,” he said. “We are sure that we are going to win.”

From Papua New Guinea to Palau, the countries of the region have jurisdiction over an area of ocean three times as large as the continental United States, stretching from just south of Hawaii to exclusive economic zones butting up against Australia, Japan and the Philippines.

Chinese fishing fleets already dominate the seas between the area’s roughly 30,000 islands, seizing huge hauls of tuna while occasionally sharing intelligence on the movements of the U.S. Navy. If China can add ports, airports and outposts for satellite communications — all of which are edging closer to reality in some Pacific Island nations — it could help in intercepting communications, blocking shipping lanes and engaging in space combat.

Mr. Wang signed several new agreements, including a security deal that gives China the power to send security forces to quell unrest or protect Chinese investments, and possibly to build a port for commercial and military use.

Chinese officials deny that’s the plan. But the deal — along with others in the Solomons and Kiribati whose details have not been disclosed — has been made possible because of something else that’s visible and much-discussed in the Pacific: a longstanding lack of American urgency, innovation and resources.

American officials point out that the United States does have big military bases in Guam, along with close ties to countries like the Marshall Islands. And in February, Antony J. Blinken became the first secretary of state in 36 years to visit Fiji, where he announced that the United States would reopen an embassy in the Solomon Islands and engage more on issues like illegal fishing and climate change.

The Yanks, it is often said, used to be more productive. Many of the airports and hospitals still in use across the Pacific were built by the United States and its allies during World War II.

“The United States doesn’t have a significant presence in the Pacific at all,” said Anna Powles, a senior lecturer in security studies at Massey University in New Zealand. “I’m always shocked that in Washington they think they have a significant presence when they just don’t.”

“There’s a lot of talk,” said Sandra Tarte, the head of the government and international affairs department at the University of the South Pacific in Suva. “And not much real substance.”

Mr. Blinken said last week that “China is the only country with both the intent to reshape the international order and, increasingly, the economic, diplomatic, military and technological power to do it.” He promised that the United States would “shape the strategic environment around Beijing to advance our vision for an open and inclusive international system.”

The start-up embassy in the Solomons also looks less impressive on closer inspection. Replacing an embassy that closed in the 1990s during America’s post-Cold War withdrawal, the outpost will begin in leased office space with two U.S. staff members and five local hires.

The American Embassy, by contrast, sits on a hillside far from downtown Suva in a heavily fortified compound. It covers five nations (Fiji, Kiribati, Nauru, Tonga and Tuvalu), doesn’t have a full-time ambassador — President Biden nominated someone only last week — and is known for being understaffed.

Joseph Veramu, a former U.N. consultant who runs Integrity Fiji, which focuses on values like transparency, said in an interview in Suva that he had invited U.S. embassy officials to events five or six times in recent years. Only once did someone come — without saying much, and refusing to allow photos.

But what they do want, and what China seems better at providing right now, is consistent engagement and capacity building.

While the United States has shown off Coast Guard vessels it is using to police illegal fishing, China is planning to build maritime transportation hubs and high-tech law enforcement centers where Chinese officers can provide expertise and equipment.

“China has always maintained that big and small countries are all equals,” Mr. Xi, the Chinese leader, said in a written message to Pacific foreign ministers on Monday. “No matter how international circumstances fluctuate, China will always be a good friend.”

Clearly, China intends to keep emphasizing that friendship means building stuff and offering promises of prosperity, while expecting news censorship, resource access and security opportunities in exchange.

The pressing question in this part of the world is: What does friendship mean to America?

Universities have been ordered to emphasize the study of Marxism and the writings of China’s top leader, Xi Jinping. In 2015, Yuan Guiren, China’s education minister, ordered a closer examination of foreign textbooks and said that those that promote Western values should be banned from classrooms.

He called not just for corrections and apologies, but also for an investigation and for those responsible to be held accountable.

“Primary school textbooks are the foundation of the country and the nation, and an important guarantee for the formation of children’s outlook on life and values,” he wrote. “It is impossible to overstate their importance.”

The illustrations were approved in 2013 for students in first to sixth grades, the reports said. Just how the problematic drawings evaded scrutiny all these years is unclear. Some social media users highlighted the images last week, prompting parents and educators to voice their outrage.

Some of the drawings are odd or silly, like children sticking out their tongues. But others show children appearing to grope classmates on a playground. Another showed a schoolgirl with her underwear exposed as she played a game. Many critics said the drawings made the children look ugly, with wide-set, droopy eyes.

Others argued that the schoolbooks also had anti-China messages, such as an incorrectly rendered Chinese flag. Still some found allegedly pro-foreign images, like a boy flying in a biplane similar to Japanese and American planes. Some even pointed to images of children wearing clothes with what looked like stars and stripes in the colors of the American flag.

There is no small thing when it comes to children; it affects our future.”

“We have carried out serious reflection, and feel deep self-blame and guilt, and hereby express our deepest apologies,” it said, adding that it would find a new team of illustrators to redraw the math textbooks.

Nepali officials on Monday said the cause of the crash was not immediately clear. The most likely possibility, they said, was that the plane crashed into a mountain after it lost contact with air traffic controllers while navigating in particularly bad weather.

To reach remote mountainous places like Jomsom, residents and visitors rely on small twin-engine planes. The route from Pokhara to Jomsom is considered one of the riskiest in Nepal because planes have to fly through narrow valleys, where visibility is often a challenge. Crashes are more common than usual because of frequent bad weather, rocky terrain and aging plane fleets.

“These countries have almost become guesthouses for terrorist organizations,” he said this month. “It is not possible for us to be in favor.”

The quandary would be simpler were it not for Turkey’s importance to the alliance. The country joined NATO in 1952 after aligning with the West against the Soviet Union; Turkey gives the alliance a crucial strategic position at the intersection of Europe and Asia, astride both the Middle East and the Black Sea. It hosts a major U.S. air base where American nuclear weapons are stored, and Mr. Erdogan has blocked Russian warships headed toward Ukraine.

Mr. Erdogan’s objections to the membership of Sweden and Finland have even renewed questions about whether NATO might be better off without Turkey.

“Turkey is a member of NATO, but under Mr. Erdogan it no longer subscribes to the values that underpin this great alliance,”

Some members of Congress have said as much. “Turkey under Erdogan should not and cannot be seen as an ally,”

“Turkey has undermined its own image,” said Alper Coskun, a former Turkish diplomat who is now a senior fellow at the Carnegie Endowment for International Peace. But, he added, “it is still a critical member of the alliance.”

The United States has also backed its affiliated fighters in Syria, the Y.P.G., or People’s Protection Units, who helped to battle the Islamic State and whom Mr. Erdogan attacked in his 2019 incursion into the country.

The Turkish president wants the Y.P.G. to be designated as a terrorist group as well.

Some analysts say that Mr. Erdogan’s government views the P.K.K. much the way Washington saw Al Qaeda 20 years ago, and that the West cannot dismiss the concerns if it hopes to do business with Turkey.

Biden administration officials downplay the standoff and expect Mr. Erdogan to reach a compromise with Finland and Sweden.

Mr. Erdogan’s main priorities are getting his country’s security concerns about Kurdish separatists heard and getting the arms embargoes lifted, Mr. Peker said.

“He has this very complicated relationship with Putin that he has to maintain,” Mr. Edelman said. “This is a good way of throwing a little bone to Putin — ‘I’m still useful to you.’”

“We need to sit down and we need to cut a deal,” Mr. Smith said. “And we need to get aggressive about it, like now.”

Videos on social media showed that the man, speaking in French, yelled that there were “people who were destroying the planet” and “that’s why I did it.”

There have been several attempts to vandalize the painting, some more successful than others. In 1956, a man threw a stone at the painting, shattering a glass shield and scratching Mona Lisa’s left elbow, causing a chip of paint to fall off.

Vandalism “is one of the top three concerns we have,” he said, adding, “We do take steps to prevent it, but it’s not really predictable.”

But the Mona Lisa is a predictable target, Mr. Keller said. In 1911, it was stolen by three Italian handymen and recovered 28 months later. In the 1950s, a visitor attacked it with acid. In 2009, a woman threw a teacup at its glass.

He said that such acts of vandalism carried out by demonstrators have nothing to do with the issues they are trying to call attention to. “They’re not really accomplishing anything,” Mr. Layne said.

Covid deaths, though always concentrated in older people, have in 2022 skewed toward older people more than they did at any point since vaccines became widely available.

That swing in the pandemic has intensified pressure on the Biden administration to protect older Americans, with health officials in recent weeks encouraging everyone 50 and older to get a second booster and introducing new models of distributing antiviral pills.

But the mortality gap between older and younger people has grown: Middle-aged Americans, who suffered a large share of pandemic deaths last summer and fall, are now benefiting from new stores of immune protection in the population as Covid deaths once again cluster around older people.

among people 65 and older, 13 percent are unvaccinated, 3 percent have a single Moderna or Pfizer shot and another 14 percent are vaccinated but not boosted.

“The government wasn’t sure about the booster shot,” he said. “If they weren’t sure about it, and they’re the ones who put it out, why would I take it?” Mr. Thomas said Covid recently killed a former boss of his and hospitalized an older family friend.

“In 2021, you see the mortality impact of the pandemic shift younger,” said Ridhi Kashyap, a lead author of that study and a demographer at the University of Oxford.

That changed last summer and fall, during the Delta surge. Older people were getting vaccinated more quickly than other groups: By November, the vaccination rate in Americans 65 and older was roughly 20 percentage points higher than that of those in their 40s. And critically, those older Americans had received vaccines relatively recently, leaving them with strong levels of residual protection.

As a result, older people suffered from Covid at lower rates than they had been before vaccines became available. Among people 85 and older, the death rate last fall was roughly 75 percent lower than it had been in the winter of 2020, Dr. Stokes’s recent study found.

The rebalancing of Covid deaths was so pronounced that, among Americans 80 and older, overall deaths returned to prepandemic levels in 2021, according to a study posted online in February.

But scientists warned that many older Americans remained susceptible. To protect them, geriatricians called on nursing homes to organize in-home vaccinations or mandate additional shots.

For some people, even three vaccine doses appear to become less protective over time against Omicron-related hospital admissions.

During the Omicron wave, Covid death rates were once again dramatically higher for older Americans than younger ones, Dr. Stokes said. Older people also made up an overwhelming share of the excess deaths — the difference between the number of people who actually died and the number who would have been expected to die if the pandemic had never happened.

Long-ago Covid cases do not prevent future infections, but reinfected people are less likely to become seriously ill.

Eventually, her family had to arrange a trip to a pharmacy on their own for a second booster.“It just seems that now the onus is put completely on the individual,” she said. “It’s not like it’s made easy for you.”

After three bloody months, Russia finally took Mariupol in mid-May, potentially creating a land bridge from the Russian-controlled Crimean Peninsula to the south.

As Russia struggles to move forward, Ukraine has also suffered setbacks.

So now Ukrainians are threatening to cut off Russian lines of supply and pushing their forces to the rear.”

Cutting off Russian supply lines east of Kharkiv would put Russian troops in the same situation they were in after their advance on Kyiv, the capital of Ukraine, at the beginning of the war, officials said

In Ukraine, he established a more streamlined process. Russian pilots began coordinating with troops on the ground toward a similar objective in the eastern region of Donbas, and Russian units were talking to one another about shared goals.

“There are some deep flaws in the Russian army that they could not have repaired in the last few weeks even if they had tried. The flaws are deep and fundamental.”

Though most of the city’s civilian population has fled in the past few weeks, 12,000 people, many of them elderly, are said to be trapped there in appalling conditions.

European Union members finally reached an agreement on a Russian oil embargo and new sanctions against Russia.

It was the second guilty verdict handed down by Ukrainian courts for war crimes since the invasion began.

The Ukrainians, after seven years of training alongside troops from the United States and other NATO countries, follow the more Western method and have proved particularly agile at adapting to circumstances, American military officials said.

But, General Breedlove added: “Even our army would be hard-pressed to refit, refurbish and reorganize in two weeks after having received such a sound whipping.

“We keep hearing accounts of Putin getting more involved,” said Ms. Farkas, who is now executive director of the McCain Institute. “We know that if you have presidents meddling in targeting and operational military decisions, it’s a recipe for disaster.”

One 12th-grade student in Kabul said the decision had stamped out her last bit of hope that she could achieve her dream of becoming a lawyer.

“Education was the only way to give us some hope in these times of despair, and it was the only right we hoped for, and it has been taken away,” the student, Zahra Rohani, 15, said.

On Monday, the Ministry of Education had announced that all schools, including girls’ high schools, would reopen on Wednesday at the start of the spring semester. The following day, a Ministry of Education spokesman released a video congratulating all students on the return to class.

Mehrin Ekhtiari, a 15-year-old student in 10th grade, said she and her classmates were shocked when a teacher announced the news to the classroom on Wednesday morning.

“My hope was revived after eight months of waiting,” she said, adding later that the announcement had “dashed all my dreams.”

In recent months, the Taliban had also come under mounting pressure to permit girls to attend high school from international donors, aid from which has helped keep Afghanistan from plunging further into a humanitarian catastrophe set off by the collapse of the former government and Western sanctions that crippled the country’s banking system.

. He attributed the decision to a lack of a religious uniform for girls and the lack of female teachers for girls, among other issues.

Many principals and teachers said they only received the new instructions from the ministry after students had already arrived for classes Wednesday.

The move came a little more than a week before a pledging conference where the United Nations had hoped donor countries would commit millions of dollars in badly needed aid, as Afghanistan grapples with an economic collapse that has left over half of the population without sufficient food to eat. It is unclear whether donors will be willing to contribute following the Taliban’s abrupt reversal on the key commitment of girl’s education.

The Taliban on Wednesday abruptly reversed their decision to allow girls’ high schools to reopen this week, saying that they would remain closed until officials draw up a plan for them to reopen in accordance with Islamic law.

When schools reopened in September for grades seven through 12, Taliban officials told only male students to report for their studies, saying that girls would be allowed to return after security improved and enough female teachers could be found to keep classes fully segregated by sex.

Later, Taliban officials insisted that Afghan girls and women would be able to go back to school in March, and many Western officials seized on that promise as a deadline that would have repercussions for the Taliban’s efforts to eventually secure international recognition and the lifting of at least some sanctions.

“I’m deeply troubled by multiple reports that the Taliban are not allowing girls above grade 6 to return to school,” tweeted Ian McCary, the chief of mission for U.S. Embassy Kabul, currently operating out of Doha, Qatar. “This is very disappointing & contradicts many Taliban assurances & statements.”

At one girls’ private high school in Kabul, more female students had arrived for classes Wednesday morning compared to previous years, the school’s principal said in an interview.

“They came to my office, crying,” said the principal,

The decision “doesn’t make sense at all, and it has no logic,” the principal added, noting that the new government has had over seven months to design a new uniform and address the teacher shortage.

Since seizing power, the Taliban have been reckoning with the need for consistent policies while struggling to tread a delicate line that satisfies their more moderate members, their hard-line base and the international community.

The sudden reversal on the girls’ secondary schools seemed to validate existing concerns among Western donors that, despite assurances, they are dealing with much the same Taliban as the 1990s.

“The Taliban have been solidifying their position and becoming hard-line on a lot of issues,” Mr. Bahiss said.

In recent months, the new government has issued restrictions on local media and cracked down on peaceful protests. Taliban officials have also issued new restrictions on women, including a ban on traveling farther than 45 miles in a taxi unless they are accompanied by a male chaperone.

“You can’t exercise your other rights if you can’t leave your house to attend your job or attend education classes,” Ms. Barr said. “It’s a really alarming sign of what may be to come, it’s likely to herald further crackdowns on women.”

On Thursday, rescuers said they had found engine components, part of a wing and other “important debris” as they searched the mountainside in a rural part of the Guangxi region for a fourth day.

Mr. Zhang, who was born in 1963, was one of China’s most experienced pilots,

A day earlier, the workers had found a black box, believed to be the cockpit voice recorder, which could provide investigators with crucial details. Officials said it was damaged but that its memory unit was relatively intact. The plane’s second black box, which records flight data, has yet to be recovered.

Their past performance was “very good,” Sun Shiying, the chairman of China Eastern Airlines’ Yunnan branch, said on Wednesday. When reached by phone, an airline representative declined to answer further questions about the crew.

At the main crash site, a state broadcaster showed the workers digging with shovels around a large piece of wreckage that the reporter described as a wing, which bore part of the China Eastern logo and was perched on a steep, barren slope fringed by dense thickets of now-flattened bamboo. Heavy rains had left the roads slick and inundated the earth with muddy pools.

Over his career as a commercial pilot with China Yunnan, which later merged with China Eastern, Mr. Zhang flew four different models of aircraft and accumulated 31,769 hours of flight experience.

The airline commonly paired young pilots with older pilots, and Mr. Zhang had mentored more than 100, CAAC News said. Mr. Yang was one of them.

Experts said that investigating the crash, which involved a sudden dive from cruising altitude in good weather, would require a close look at both the aircraft and the pilots, including the possibility that the plane was deliberately brought down. But they stressed that the cause was far from determined.

“Certainly an intentional downing is always a part of any investigation, and especially with this particular flight profile,” said Hassan Shahidi, chief executive of the Flight Safety Foundation, a nonprofit organization created after World War II to promote aviation safety. But he cautioned that it was “premature to jump onto any possibilities.”

“If the captain were intending to commit suicide, they’d have to overcome the other flight crew members,” Mr. Marks said.

The largest previous assessment of methane emissions from oil and gas in the United States, published in 2018, reviewed studies covering about 1,000 well sites, a tiny fraction of the more than one million active wells in the country. The new study, by contrast, used aerial data to examine nearly 27,000 sites from above: more than 90 percent of all wells in the New Mexico portion of the Permian Basin, which also extends into Texas.

estimated about a decade ago that the break-even point — the point above which natural gas would actually hurt the climate more than coal — was a 3.1 percent methane leakage rate. Based on more recent data from the Intergovernmental Panel on Climate Change, Dr. Howarth estimates that the threshold is closer to 2.8 or 2.9 percent.That makes the 9.4 percent leakage rate in the new study highly alarming,

Methane can be released by wells both on purpose, in a process known as venting, and through unintentional leaks from aging or faulty equipment.

Natural gas accounts for about a third of American energy consumption, and because it is less costly than coal in terms of carbon dioxide emissions, many policymakers have promoted it as a “bridge” that could do less damage to the climate while society works on a longer-term transition to renewable energy. But compared to coal, natural gas results in much higher emissions of methane, which is a more potent greenhouse gas than carbon dioxide, but doesn’t last as long in the atmosphere.

They found that a small number of wells and pipelines accounted for “the vast majority” of methane leaks, Ms. Chen said, adding, “Comprehensive point source surveys find more high-consequence emission events, which drive total emissions.”

If there was good news in the study, it was that a small number of oil and gas sites contributed disproportionately to emissions — suggesting that, if the worst offenders change their practices, it is possible for the industry to operate more cleanly.

The Stanford researchers emphasized that the same methodology they used to quantify methane emissions could be used to identify problem sites and target regulations accordingly.“Aerial technology found high methane emissions,” Ms. Chen said, “but can also help fix them cost effectively.”

Whether North Korea has mastered the technology needed to send an intercontinental nuclear warhead into space and then guide it back through the earth’s atmosphere to its target is still unclear.

North Korea’s short-range ballistic missile program has made big advances.

When North Korea resumed missile tests in 2019 following the collapse of the Kim-Trump talks, the tests featured three new missiles that used solid fuel, military experts said.

The North has also stockpiled thousands of tons of chemical and biological​ weapons​ ​agents​ that it can deliver with its missiles​​.

“I understand he’s between a rock and a hard place,” Ms. Collins told the pollsters, speaking of Mr. Biden’s dilemma. “It just feels like Putin’s not going to stop at Ukraine.”

And that, she said, made her believe that a direct confrontation with Russia was “inevitable

But there was one area of agreement across party lines. Strong majorities in both parties approved of Mr. Biden’s efforts to marshal international support for crippling economic sanctions against Mr. Putin and his allies, with 70 percent of Americans backing a total U.S. ban on oil imports from Russia.

It has become an argument over a nominee who does not exist — one who does not respect America, is not truly religious, coddles child abusers and terrorists and has highly developed views about the importance of “woke” education.

Conspiracy theories and unfair accusations have a long history in American politics, of course. But they have often remained on the margins. Today, distortions and falsehoods have moved to the center of politics.

While neither party is entirely innocent, there is a fundamental difference between Republicans and Democrats. False claims regularly flow from the leaders of the Republican Party —

The Jackson hearings have become the latest example. Several Republican senators — including Josh Hawley, Lindsey Graham and Ted Cruz yesterday — have tried to portray her as soft on child pornographers. Their argument depends on a misleading cherry-picking of facts from cases she has heard.

Woke education has become another focus of the hearings, with Republicans like Cruz and Marsha Blackburn trying to portray Jackson as an advocate for it. In truth, she has not taken a position on the issues that fall under that category.

That was apparently enough for the Republican National Committee to tweet an image of her this week, with her initials — KBJ — crossed out and replaced with CRT, an abbreviation for critical race theory.

The only time Jackson appears to have mentioned critical race theory publicly was in a 2015 speech. It was part of a list of disciplines that she said had an intellectual connection to criminal sentencing, including administrative law, philosophy, psychology and statistics.

There is one broader political risk here for Democrats, though: imagining that Republicans are simply playing to their base by making these misleading criticisms of Jackson. They are also trying to appeal to swing voters.

Most Americans oppose cutting police budgets, for instance. Many believe that allowing all transgender girls to compete in girls’ sports can be unfair to other girls. Many voters — and not just white voters — think that liberals focus too much on racial identity.

“One thing that is striking about this hearing,” Lori Ringhand, a legal scholar, told The Times, “is how little effort we are seeing to engage the nominee on her views about actual legal issues.”