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Rory McIlroy secured his second straight Masters title on Sunday, finishing at 12‑under 276 and becoming only the fourth player in history to win Augusta National in back‑to‑back years.The Northern Irish star rallied from a three‑shot deficit on the front nine, carding a 71 (one under par) in the final round to edge out Scottie Scheffler by a single stroke."I can’t believe I waited 17 years to get one green jacket, and I get two in a row," McIlroy said in the Butler Cabin, emphasizing the perseverance that finally paid off.His victory marks a sixth major championship, tying Nick Faldo for the most majors by a European in the modern era and placing them both at 12th on the all‑time list.Trailing McIlroy were Cameron Young, Russell Henley, England’s Tyrrell Hatton and Justin Rose, each finishing one shot back at 10‑under.McIlroy began the final round tied for the 54‑hole lead at 11‑under, slipped to 9‑under after two early bogeys, then surged with birdies on holes 7, 8, 12 and 13 to build a two‑shot cushion heading into the iconic "Amen Corner."When the pressure mounted on the 18th, a well‑placed drive into the trees allowed him to reach a greenside bunker, set up a two‑putt bogey and preserve the lead, confirming his place among the Masters’ elite.Beyond the personal milestone, McIlroy’s back‑to‑back triumph underscores the rarity of defending the Masters—an achievement previously accomplished only by Jack Nicklaus, Nick Faldo and Tiger Woods—and highlights the growing prominence of European players on golf’s biggest stage.

The article features three brainteasers with their respective solutions. The first puzzle involves a Navy admiral choosing between sending one ship with a P per cent chance of success or two ships each with a P/2 per cent chance of success. The solution reveals that sending one ship is always the better option.The second puzzle introduces two oracles, Randie and Rando, who answer questions differently. Randie responds randomly, while Rando decides to tell the truth or lie. The solution explains how to distinguish between them by asking a specific question that yields the same answer from both a liar and a truthteller.The third puzzle involves a mathematical problem where Johnny calculates 5548-5489 = 59 by incorrectly canceling out digits. A similar calculation XXYZ - XYZW is analyzed, and the solution reveals that Z and W are 8 and 9, respectively.

The National Gallery of Art's latest exhibition, 'Dear America: Artists Explore the American Experience', is a thought-provoking collection of over 100 works by 95 artists. This 'open letter to the nation' offers a multifaceted exploration of the American experience, delving into themes of land, community, and freedom.Upon entering the exhibition, visitors are immediately struck by the unconventional representations of iconic American symbols. The Statue of Liberty, for instance, is reimagined through the lens of South African photographer Zanele Muholi and a geometric screenprint by Roy Lichtenstein.The exhibition's curatorial approach is to create 'provocative conversations across centuries, disciplines and demographics.' E Carmen Ramos, the gallery's chief curatorial and conservation officer, notes that the show was 'years in the making' and showcases an 'embarrassment of riches' from the gallery's permanent collection of over 160,000 works.Structured around three core themes – land, community, and freedom – the exhibition presents a diverse array of works. These include Thomas Moran's idyllic watercolours of the American West juxtaposed with Thomas Hart Johnson's photographs of a landscape ravaged by coal mining and railroads. The exhibition also features poignant pieces such as Carrie Mae Weems's haunting silhouette and Gordon Parks's indelible 'American Gothic.'The show's second section, 'Community,' features Richard Avedon's massive 1976 commission 'The Family,' which comprises 69 stark, uniform portraits of the bicentennial era's political, media, and corporate elite. This is contrasted with John Wilson's tender sketches of his teenage children and their friends.The final act of the exhibition turns its lens to 'Freedom,' showcasing historical portraits of figures such as Frederick Douglass, Sojourner Truth, and George Washington, alongside powerful works by Kara Walker, Martha Rosler, and Faith Ringgold. As visitors exit, they are met with Robert Indiana's boldly coloured screenprint 'Liberty '76,' created for the 1976 bicentennial.Ramos reflects on the exhibition's significance, stating that it 'explores how artists in the United States have explored the American experience across different moments in time.' The exhibition will be on view in the National Gallery's West Building until 20 September.

Leeds United delivered a seismic upset at Old Trafford, beating Manchester United 2‑0 and moving six points clear of Tottenham in the Premier League table. The victory marked United’s first league loss at the stadium since February 1981, ending a 45‑year unbeaten home run.Michael Carrick recorded his first home defeat as United’s interim manager. The team never found rhythm, a situation worsened when defender Lisandro Martínez was shown a red card in the 56th minute for yanking Dominic Calvert‑Lewin’s ponytail. Martínez now faces a three‑match ban, with United considering an appeal.Noah Okafor proved decisive, netting a brace. His first goal arrived five minutes after the red card when a Jayden Bogle cross was flicked on by Leny Yoro and finished by Okafor. The Swiss striker celebrated with a calm, hands‑folded pose as the crowd chanted “Yorkshire, Yorkshire”. He added a second, long‑range strike later in the half, sealing the win.Leeds dominated the early exchanges, creating several chances through wing‑back Gabriel Gudmundsson and forward Jayden Bogle. United’s response was limited to a consolation header from Casemiro, but they could not threaten Leeds’ lead.The result has major implications: Leeds now sit comfortably in the Champions League race, while United’s relegation worries intensify. A win against Wolves on Saturday could further distance Leeds from the drop zone, especially if Tottenham falters against Brighton.Post‑match, Leeds manager Daniel Farke and his players celebrated exuberantly, kneeling on the pitch and shouting “We are Leeds”. The three points are described as “vital” for the club’s season ambitions.

Tanya Khovanova has long been a leading voice in the world of recreational mathematics, authoring a popular blog and running the Number Gossip site where enthusiasts can inquire about any number.She now debuts her first book, Mathematical Puzzles and Curiosities, co‑written with fellow puzzle‑enthusiasts Ivo David and Yogev Shpilman. Published by World Scientific, the volume offers fresh challenges and inventive twists on classic problems.To give readers a taste, Khovanova selected three puzzles for the Guardian column:1. Battleships – As a naval admiral you must choose between sending a single vessel with a success probability of P % or two vessels each with a P/2 % chance, where the mission succeeds if at least one ship does. Which strategy maximises the odds?2. The Two Oracles – You face two respondents, Randie, who answers randomly, and Rando, who randomly decides to tell the truth or lie before each answer. Is there a method to distinguish them?3. Bad Maths – A student computes 5548 − 5489 as 59, claiming the “548” cancels out. He then experiments with a subtraction of the form XXYZ − XYZW (distinct digits) and observes the result is XW. How many digits in the new expression match those in the original calculation?Solutions to the trio were later posted online (update), but readers were urged to avoid spoilers until the scheduled reveal.Khovanova also reminds fans that she has been curating puzzles for the Guardian every other Monday since 2015 and welcomes new submissions via email.

Metabolic liver disease, or MASLD, is projected to affect 1.8 billion people worldwide by 2050, according to a recent study. This significant increase is primarily driven by rising obesity and blood sugar levels globally.MASLD, previously known as non-alcoholic fatty liver disease (NAFLD), is one of the most prevalent and rapidly growing liver conditions worldwide. The condition's prevalence has already seen a 143% increase in just three decades, from 500 million people in 1990 to 1.3 billion people in 2023.The study, published in the Lancet Gastroenterology & Hepatology journal, highlights that high blood sugar is the leading driver of MASLD-related health problems globally, followed by high BMI and smoking. These factors are strongly linked to type 2 diabetes and obesity.Regional disparities exist, with north Africa and the Middle East having disproportionately higher rates of MASLD. However, there have been sharp increases in the number of people affected in countries across the world, including the UK, Australia, and the United States.Despite the growing number of cases, the overall impact on health has remained stable, suggesting that advances in treatment and care are helping people live longer and healthier lives. However, the increasing number of cases still poses a risk of serious complications such as liver cirrhosis or cancer in the future.

On the closing night of Coachella’s opening weekend, Karol G broke new ground as the festival’s first Latina headliner. Introducing herself in English, the Colombian artist announced, “I am Carolina Giraldo from Medellín, Colombia, and today I am the first Latina woman to headline Coachella,” to a roar of cheers from a crowd waving flags from Mexico, Puerto Rico, Venezuela, Colombia and beyond.The moment echoed Beyoncé’s 2018 ‘Beychella’ debut, reminding fans that representation on this stage can reshape cultural narratives. Karol G’s 90‑minute performance combined dazzling costume changes, high‑energy choreography and a stage that seemed to rise two stories above the desert floor, creating a spectacle that felt both meticulously crafted and effortlessly vibrant.From the opening number “Latina Foreva,” where she strutted in a glittering gold bikini, to the cave‑like rave set that highlighted the “primordial wildness of women,” the show never lost its momentum. Even a half‑hour delay for lighting adjustments was quickly forgiven as the music surged forward, blending hard‑hitting tracks from her 2025 album Tropicoqueta with hits from 2023’s Mañana Será Bonito.Musically, the set was a tour of Latin genres. After a brief interlude, Karol G returned wearing a Carnival‑style feathered headdress for the mambo‑infused “Tropicoqueta.” She then invited an all‑female Mexican mariachi band for “Ese Hombre Es Malo,” followed by a duet with Becky G that mixed Spanish‑language celebration of Mexico and Colombia with a pointed nod to the United States’ immigration debate.Speaking amid the roar of the crowd, the 35‑year‑old artist said, “This is not just about me, this is about the Latina community, the love of my people,” acknowledging the delicate balance of celebrating Latin pride while the U.S. government tightens immigration policies. Her remarks highlighted the symbolic weight of performing such a vibrant, unapologetic Latin set on a stage that reaches millions worldwide.The finale reinforced the message of unity. After a soulful cover of Gloria Estefan’s “Mi Tierra,” Karol G launched into an EDM‑styled version of “Provenza,” complete with rainbow lasers, strobe lights, fireworks and a cascade of confetti. Three false‑ending beat drops and a megawatt smile underscored her point: the victory belongs to the entire Latin community, not just the performer.

For the first time, thousands of cancer patients from Black and minority ethnic backgrounds will benefit from an enhanced genetic test offered by the NHS. The new screening expands the panel of DPYD gene variants from four to five, directly addressing a long‑standing bias that left non‑white patients vulnerable to dangerous chemotherapy side‑effects. In England, patients slated for chemotherapy undergo a genetic check that can guide dose adjustments and mitigate adverse reactions such as mouth sores, hair loss, nausea, fatigue, and, in severe cases, death. Up to 40% of the 38,000 individuals receiving fluoropyrimidine‑based chemotherapy each year experience a harmful drug reaction. Previously, the test only targeted four DPYD variants common in people of European descent, meaning many Black patients received inaccurate “all‑clear” results. The addition of a fifth variant—more prevalent among African, Caribbean and other minority groups—means clinicians can now identify patients at risk who were previously missed. Since its rollout at Manchester University NHS Foundation Trust last September, three minority‑ethnic patients have had their initial chemotherapy doses adjusted, lowering their chance of a potentially fatal reaction. Dr Veline L’Esperance, senior clinical adviser at the NHS Race and Health Observatory, called the change “tangible results for patients who have historically been left behind.” She emphasized that the update shifts the discussion on ethnic health inequality from rhetoric to actionable care. Prof Habib Naqvi, chief executive of the NHS Race and Health Observatory, described the development as a “groundbreaking outcome” for chemotherapy safety, while noting that ethnic minorities remain under‑represented in genomic research and biobanks. He warned that broader inclusion is essential for the promised benefits of precision medicine to reach all communities. Prof Dame Sue Hill, chief scientific officer for NHS England, highlighted the significance of discovering the fifth variant: “Personalising chemotherapy based on genetics can save lives and reduce harmful side‑effects, especially for patients of African ancestry.” She added that the North West NHS Genomic Medicine Service has already demonstrated the practical impact of this approach. These steps come amid broader evidence that minority patients in the UK face longer diagnostic waits, more GP visits before a cancer diagnosis, and lower perceived support during treatment. The expanded DPYD test represents a concrete effort to close those gaps and ensure equitable, science‑driven care for all cancer patients.

According to the latest Tottenham Hotspur financial statements, former executive chair Daniel Levy received £5.76 million in remuneration for the year ending 30 June 2025. That figure represents a 54% increase on his 2024 earnings and, as noted by football‑finance analyst Kieran Maguire, made him the highest‑paid director in the Premier League for the season. In stark contrast, the club’s women’s team—comprising 64 players and staff—had a combined salary and bonus total of £3.73 million, a 23% rise from the previous year. After accounting for social security and pension contributions, the overall wage bill reached £4.3 million, with an average annual earnings of roughly £58,000 per employee. This places Tottenham Women below several WSL rivals that have disclosed their 2024‑25 accounts, such as Brighton (£5 million), Manchester United (£5.88 million), and Arsenal (£11.3 million), but above Liverpool (£3.12 million). The women’s side recorded a post‑tax loss of £2.83 million, marginally higher than the £2.73 million loss reported in 2024. The deficit persisted despite a notable surge in commercial revenue, which more than doubled from £1.46 million to £3.34 million. Broadcast income remained static at £267,414, while prize‑money earnings fell by approximately £600,000. On the pitch, Tottenham Women finished the 2024‑25 campaign in 11th place in the Women’s Super League. However, the current 2025‑26 season shows a marked turnaround, with the team sitting fifth with three matches remaining and having nearly doubled their league victories compared with the previous term. Sources indicate that an internal review has repositioned women’s football as a strategic priority for the club, a shift that is expected to be reflected in the forthcoming 2025‑26 accounts.