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The U.S. military announced that, starting at 14:00 GMT on Monday, it will enforce a blockade of every Iranian port, a step taken after President Donald Trump ordered a naval closure of the Strait of Hormuz—the waterway through which roughly one‑fifth of global crude oil normally flows. The blockade comes on the heels of stalled peace negotiations in Islamabad, where talks between Washington and Tehran collapsed without an agreement despite a prior cease‑fire pledge. Trump’s escalation has already driven crude prices above $100 per barrel and unsettled Asian equity markets, with the Nikkei 225 down 0.84%, the Topix slipping 0.42% and South Korea’s Kospi falling 1.83%. Iran’s response is equally forceful. The Islamic Revolutionary Guard Corps warned that any vessel entering the strait would be deemed a breach of the cease‑fire and dealt with “harshly and decisively,” insisting it has “full control” and threatening a “deadly vortex” for any misstep. Navy chief Shahram Irani dismissed Trump’s threat as “ridiculous and funny,” while state television said Iranian forces are closely monitoring U.S. movements. Foreign Minister Abbas Araghchi lamented “maximalism, shifting goalposts, and blockade” that undermined a near‑final Islamabad memorandum, quoting, “Good will begets good will. Enmity begets enmity.” Parliament speaker Mohammad Bagher Ghalibaf pledged resistance and mocked U.S. gasoline prices, posting a map of Washington‑area pump prices and predicting nostalgia for $4‑$5 gas. U.S. Central Command clarified that the blockade will stop all vessels bound for or from Iran, while traffic to non‑Iranian ports will continue unhindered. Trump also warned that any ship that has paid an “illegal toll” to Iran will be intercepted on the high seas, and he publicly criticized Pope Leo XIV for urging an end to the conflict. In Lebanon, Israeli airstrikes have killed at least five people, bringing the country’s overall death toll to 2,055. Hezbollah retaliated with a rocket barrage aimed at northern Israeli towns, citing violations of a cease‑fire. The United Nations Interim Force in Lebanon (UNIFIL) reported that an Israeli tank rammed peace‑keeping vehicles twice in the south. Israel’s Prime Minister Benjamin Netanyahu visited troops on the Lebanese border, claiming that Hezbollah’s invasion threat has been neutralized, though he acknowledged that hostilities continue within the security zone. On the energy front, shipping through the Hormuz corridor has “immediately halted,” according to Lloyd’s List, with several vessels turning back after the blockade announcement, further tightening global oil supplies.

Relentless drama unfolded at Aintree on Saturday as I Am Maximus clinched a second Grand National win, joining an exclusive club that includes the legendary Red Rum. The race saw all 34 runners finish without serious injury, underscoring the event’s safety despite its reputation for chaos.The victory marks I Am Maximus as only the third horse since the mid‑1930s to win the National twice, and the first to achieve the feat in non‑consecutive years since Red Rum’s 1974 triumph. Having finished a close second in 2025, the gelding now sits second only to Red Rum in the all‑time Aintree hierarchy.Trainer Willie Mullins admitted the horse’s temperament could spark a bar‑room brawl, recalling a “lairy” incident at a village parade two years ago. “He’d eat you without salt,” Mullins joked, suggesting future photo‑ops may be limited if the horse’s spirit remains untamed.Owner JP McManus, who celebrated a record fourth National win on the day, is expected to aim the champion at next year’s race. If I Am Maximus stays sound, a 2027 return could become one of the season’s marquee storylines.Betting markets reflected the horse’s popularity: a widely reported £100,000 wager at 8‑1 odds was placed before the race, and the gelding entered as the 9‑2 favourite, positioning him among the shortest‑priced favourites in National history. The only cheaper price on record belongs to Poethlyn, who opened at 11‑4 in 1919.Age also played a role. I Am Maximus’s win makes him the first horse older than nine to win since Pineau De Re’s 2014 victory. By comparison, Red Rum captured his third National at age 12 in 1977, but modern course changes have generally favoured younger runners.Unlike Tiger Roll, whose third attempt was thwarted by owner Michael O’Leary’s weight objections, I Am Maximus has already carried top weight to victory, demonstrating a robustness that may appeal to McManus for future campaigns.With the horse’s celebrity status soaring, the racing calendar now enjoys a twelve‑month window to capitalise on his fame, building anticipation for what could be a historic third National appearance.

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.

The 2018 World Cup in Russia served as a high‑profile platform for Vladimir Putin, showcasing his nation and bolstering his personal legitimacy. The tournament was effectively a diplomatic bow to the Kremlin’s ambitions.Fast‑forward to the summer of 2026, and the buildup to the event has taken on a distinctly American flavour, with the competition becoming a backdrop for Donald Trump’s political narrative.The next edition, slated for 2034 in Saudi Arabia, presents a fresh set of challenges. Despite the kingdom’s controversial human‑rights record, the event offers Crown Prince Mohammed bin Salman an opportunity to polish his and the nation’s image. FIFA’s current reluctance to enforce independent oversight of migrant‑worker conditions raises fears that construction could be as deadly as the 2022 Qatar experience.These developments underscore a pressing need to insulate the World Cup from the whims of powerful leaders. One proposed solution is to fragment the tournament—treating it like a monopoly that has become too dominant.Evidence that this approach is feasible already exists: the 2026 World Cup will be co‑hosted by three nations, and the 2030 edition is set to span six countries across three continents (Spain, Portugal, Morocco, Argentina, Paraguay, Uruguay).Building on that, the author suggests a radical redesign: allocate each group stage to a different global city—Paris, Rio de Janeiro, Tokyo, Sydney, Johannesburg, London, the Basque Country, and so on. Knock‑out rounds could be broken into three‑match clusters and scattered worldwide, with the semi‑finals, final, and third‑place match awarded to the highest‑bidding venue.Carbon‑footprint concerns are addressed by noting that teams already travel long distances to a single host nation; distributing groups based on the median distance to participating teams would not significantly increase emissions.Financially, the cost of staging a traditional, single‑host World Cup has ballooned, limiting the pool of viable bidders to those seeking political or economic leverage. A decentralized format would dilute any single leader’s ability—whether Trump, Putin, or the Saudi crown prince—to manipulate the event for personal gain.Decentralisation would still align with FIFA’s stated objectives: expanding the sport’s reach, creating a truly global spectacle, and bringing football closer to fans worldwide.While FIFA claims a fiduciary duty to maximise revenue for its 211 member associations—justifying steep ticket prices and controversial sponsorships—the proposed model could actually enhance revenue by turning each small cluster of matches into premium, high‑value events.Precedent exists in the form of Euro 2020, which, despite being postponed by the pandemic, successfully unfolded across 11 European cities, delivering record‑breaking goal tallies and strong attendance figures.In sum, the most effective way to protect the World Cup’s cultural significance and prevent its exploitation by authoritarian figures may be to deconstruct and disperse it globally, turning a single‑host behemoth into a series of interconnected, locally hosted celebrations of the sport.

Plans to alter the size of HS2 trains, aimed at maximizing capacity, may result in increased costs and fewer seats, potentially leading to slower services north of Birmingham. A senior government and rail industry figure, Chris Gibb, has warned against changing the train order.The original £2bn order for 54 high-speed trains, to be built by a joint venture of Alstom and Hitachi, was placed in 2021. However, the project has been under review since the cancellation of the northern leg of HS2 by Rishi Sunak in 2023. The initial plan was for the 200-metre, eight-carriage units to double into 16-carriage trains, similar in size to a Eurostar. But this will only be feasible on the new line between London and Birmingham, as existing stations like Manchester Piccadilly cannot accommodate a 400-metre train.Gibb, a non-executive director of DfT Operator, expressed concerns that if HS2 opens with eight-coach trains, they would be full, leaving people behind. He suggested that instead of varying the train order, which could incur extra costs and delays, the government should retain the original order and plan to replace the current Pendolino fleet with longer, faster, modern versions around 2040.This approach, Gibb argued, would provide a significant increase in capacity, revenue, and a reduction in journey times on all routes without the need for further railway construction. Lord McLoughlin, former transport secretary, and Lord Berkeley, a long-term HS2 sceptic, have backed Gibb's idea, emphasizing the importance of consistent rolling stock for future use.A spokesperson for HS2 Ltd stated that no changes have been made to the original order, and they are still working closely with the manufacturer and the DfT to finalize train designs. The trains will be built in Derby and Newton Aycliffe.

Reports of sexual assault allegations against U.S. Representative Eric Swalwell have sent shockwaves through the California gubernatorial race, where recent polls showed him leading a crowded Democratic field seeking to succeed Governor Gavin Newsom.During televised interviews on Sunday, several high‑profile Democratic lawmakers urged Swalwell to drop out of the race and resign from Congress after CNN and the San Francisco Chronicle published accounts from a former staffer and other women alleging misconduct.“What he did is sick and disgusting,” Congressman Ro Khanna told Fox News Sunday, calling for investigations by law‑enforcement and the U.S. House of Representatives.Swalwell has categorically denied the claims as “absolutely false” and indicated no intention to leave the gubernatorial contest. A March poll conducted by Emerson College had him ahead of both Democratic and Republican challengers by several points, underscoring the political stakes.In the wake of the allegations, powerful figures and organizations have begun revoking endorsements, and the Manhattan District Attorney’s office confirmed an active investigation on Saturday.Republican Representative Anna Paulina Luna announced she will file a motion to initiate expulsion proceedings against Swalwell, a step some Democrats say they could support.“This is not a partisan issue,” Representative Pramila Jayapal remarked, emphasizing that the matter “cuts across party lines” and reflects broader concerns about the treatment of women.Democrats have also called for the expulsion of Republican Representative Tony Gonzales of Texas, who faces separate sexual‑misconduct allegations. Both Ro Khanna and Republican Representative Byron Donalds indicated they could back a bid to eject Gonzales and Swalwell from Congress, with Donalds stating, “As far as I’m concerned, both gentlemen need to go home.”California gubernatorial candidate, US Representative Eric Swalwell, appears at a town hall meeting in Sacramento, California, on Tuesday, April 7, 2026 (Rich Pedroncelli/AP Photo)

The Artemis II astronauts received a thunderous welcome home on Saturday after completing a record-breaking flyby of the moon. The crew of four, consisting of commander Reid Wiseman, pilot Victor Glover, Christina Koch, and Canada's Jeremy Hansen, arrived at Ellington Field near NASA's Johnson Space Center and Mission Control in Houston. During their nearly 10-day mission, the astronauts voyaged deeper into space than the moon explorers of decades past, reaching a maximum distance of 252,756 miles (406,771km) from Earth. They also captured views of the lunar far side never witnessed before by human eyes. The mission revealed a new side of our planet with an Earthset photo, showing our blue marble setting behind the gray, pockmarked moon. Koch described the experience, saying, "Honestly, what struck me wasn’t necessarily just Earth, it was all the blackness around it. Earth was just this lifeboat hanging undisturbedly in the universe," Koch said. "Planet Earth, you are a crew." The homecoming was poignant, as they returned to NASA's Houston base on the 56th anniversary of the launch of Apollo 13. The Artemis II mission is a crucial step towards NASA's goal of landing astronauts on the moon by 2028. Wiseman issued a rallying cry to the rows of blue-flight-suited astronauts at Saturday's celebration, saying, "It is time to go and be ready – because it takes courage. It takes determination, and you all are freaking going and we are going to be standing there supporting you every single step of the way in every possible way possible."

Manchester City delivered a commanding 3‑0 win at Stamford Bridge on April 12, 2026, a result that brings them within a single game’s reach of the league leaders, Arsenal. The victory, part of City’s impressive April record of 19 wins and 4 draws from 23 matches, underscores Pep Guardiola’s reputation as a spring‑time title avenger. The opening goal arrived in the 10th minute when Nico O’Reilly headed a close‑range effort past the Chelsea keeper, a moment described as a “free header” that ignited the Etihad‑like atmosphere among the travelling fans. Within the next 17 minutes, Marc Guéhi and Jérémy Doku added their names to the scoresheet, exposing a Chelsea defence that resembled a “shop‑worn bead curtain”. Guardiola’s side now sits six points behind Arsenal with a game in hand. A win at the Etihad next Sunday would reduce the deficit to three points, and a subsequent victory at Burnley could see the two clubs level on points, with City holding the superior goal difference. Arsenal, meanwhile, are grappling with a dramatic slump. After a nine‑point lead that seemed unassailable, the Gunners suffered a home defeat to Bournemouth, leaving them vulnerable to a potential “quadruple collapse” over the next sixteen days. City’s recent form has been nothing short of dominant: in their last three fixtures they have beaten the league leaders, the title‑holders, and the Club World Champions, scoring nine goals while keeping a clean sheet. The squad’s depth is evident, with five different scorers contributing to the tally. In contrast, Chelsea’s performance highlighted the widening gulf at the top of the table. Manager Liam Rosenior, still finding his footing after a mid‑season appointment, has yet to secure a win against the league’s elite, having lost to Guardiola, Luis Enrique and Mikel Arteta. Guardiola, ever the seasoned tactician, appeared composed even when Chelsea showed brief bursts of energy. His sideline attire—a practical anorak and brown shoes—mirrored his methodical approach, while midfield dynamo Bernardo Silva moved with the poise of a “captive prince” amid the chaos. As the season edges toward its climax, City’s blend of experience, tactical flexibility, and spring‑time confidence positions them as genuine title contenders. The next few weeks will determine whether Guardiola’s “alpha‑dog” energy can finally translate into the Premier League crown, or if Arsenal can rally to retain their lead.

Birmingham City defeated Wrexham 2-0 at St Andrew’s, a result that pushes the Red Dragons further from the Championship playoff places. The loss leaves Wrexham four points behind sixth‑placed Hull City with only four games remaining.After a 5-1 drubbing by Southampton, the defeat marks Wrexham’s first back‑to‑back losses since August. Manager Phil Parkinson tried to steady the mood, saying, “We’ve had a tough week, but we’re not down and out yet. People may write us off, but inside the dressing room we’re still fighting.”Goals came from Carlos Vicente, who headed in his third goal for Birmingham since joining in January, and Christoph Klarer, who added a second‑half strike to seal the win.Wrexham’s attack was virtually silent – they failed to register a single shot on target, and goalkeeper James Beadle had little to do. In contrast, Birmingham’s keeper Arthur Okonkwo made several first‑half saves, keeping the hosts in control.The victory gave Birmingham their first win in over a month and lifted them to 15th place in the league table. The hosts dominated possession, forcing early saves from Okonkwo and creating chances for Ibrahim Osman and August Priske, though those early efforts were thwarted.In the second half, a well‑timed delivery from Kai Wagner allowed Vicente to rise highest at the far post and head home. Later, a corner from Paik Seung‑ho found Klarer, who muscled past Max Cleworth and finished confidently.Substitutes Josh Windass and Nathan Broadhead were introduced by Parkinson in a bid to spark Wrexham’s attack, but the visitors could not muster any meaningful threat in the final quarter.Birmingham manager Chris Davies praised his side’s performance: “We were excellent throughout. When the opposition doesn’t have a shot on your goal and you score two – we could have scored five – that’s everything.”