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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.

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.

Rockstar Games, the renowned studio behind the Grand Theft Auto series, has fallen victim to a cyberattack by the hacker group ShinyHunters. The group is demanding a ransom in exchange for not releasing stolen company data, including potentially sensitive information about the highly anticipated Grand Theft Auto VI.The attack, which was first reported on April 13, 2026, involves ShinyHunters threatening to leak data stolen from Rockstar Games' servers operated by a third-party vendor. The group initially set a deadline of April 14, 2026, for the company to enter negotiations.In a chilling message, ShinyHunters warned Rockstar: “Rockstar Games. Your … data was compromised … Pay or leak.” The group has a history of targeting major companies, including Microsoft, Cisco, and Ticketmaster.Rockstar Games has downplayed the impact of the hack, stating that only a “limited amount of non-material company information” was accessed and that there was no impact on players. However, given the high stakes surrounding Grand Theft Auto VI, which has been in development for nearly a decade and is expected to be one of the biggest releases in gaming history, any breach is a serious concern.The ShinyHunters group is linked to The Com, a loose network of cybercriminals, primarily English-speaking individuals aged 16 to 25. This group has been involved in previous high-profile hacks, including the Pornhub breach last year.This incident follows a previous major breach in 2022 when a teenager from the Lapsus$ hacking collective leaked 90 minutes of Grand Theft Auto VI gameplay footage. The hacker, Arion Kurtaj, was sentenced to an indefinite hospital order in 2023. Rockstar reportedly spent $5 million and thousands of hours recovering from that incident.The development costs for Grand Theft Auto VI are estimated to be close to $2 billion, and the game’s tight secrecy makes any data breach particularly damaging. Originally slated for Autumn 2025, the game has been delayed to November 19, 2026.

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.

Tucker Carlson, the former Fox News host, is set to launch his own publishing imprint, Tucker Carlson Books, in partnership with US-based publisher Skyhorse. The imprint aims to provide a platform for books that might otherwise be censored or shut down.Among the initial titles to be published are Russell Brand's How to Become a Christian in Seven Days, described as a "testimony and guide to a timeless, yet zeitgeist-capturing, grounded, yet psychedelic encounter with Christ." Brand is currently facing charges of rape, sexual assault, and indecent assault in the UK, to which he has pleaded not guilty.Another title set to be published is Milo Yiannopoulos's Ex Gay. Yiannopoulos, a controversial "alt-right" commentator, has previously been shunned by publishers due to his contentious views. His 2017 memoir, Dangerous, was canceled by Simon & Schuster after footage surfaced in which he made comments that appeared to condone sex between adult men and underage boys.Carlson, a former Trump supporter and promoter of right-wing conspiracy theories, was reportedly fired from Fox News in 2023. He soon launched his own media company, Tucker Carlson Network, and the imprint is being launched in partnership with this network.Skyhorse publisher Tony Lyons stated that the imprint will give "a platform to things that would, in many cases, be shut down, be censored, and be covered over by propaganda." Carlson emphasized that Lyons is "just looking for books that nobody else will publish."Skyhorse, which was launched in 2006, claims to be one of the fastest-growing independent book publishers in the US. Its previous publications include Woody Allen's memoir Apropos of Nothing and US Secretary of Health and anti-vaccine activist Robert F Kennedy Jr's The Real Anthony Fauci.

A 10-metre long humpback whale that became stranded on a sandbar in the Baltic Sea last month has left experts and the German public in a state of distress. The male whale, which has repeatedly stranded and freed itself, is now stranded once more and in the throes of death.The drama has captivated the country, drawing politicians, shamans, and animal rights activists to the scene. Experts have faced death threats and accusations of worsening the whale's plight, with some calling for the far right to take power.The local mayor has admitted: 'We have all been totally out of our depth.' A leading humpback whale expert has even stopped allowing her name to be quoted in the media, citing the danger of talking about humpback whales in Germany.The whale's condition has rapidly declined due to a fishing net caught in its jaw, weakening it and leading to a loss of direction. The Baltic Sea's low salt levels and shallow waters are not suitable for the whale's survival. Wounds and infections have been detected on its body, with experts describing it as 'very sick.'Despite the emotional public outcry and various rescue suggestions, including using cranes, planes, and inflatable pontoons, authorities have declared the whale beyond saving. The environment minister of Mecklenburg-Vorpommern, Till Backhaus, has pleaded with the public to leave the animal in peace to die, saying it has been one of the most demanding operations of his 27 years in office.

CF Montreal, formerly known as Montreal Impact, is facing a tough time in Major League Soccer (MLS). The team's rebranding in 2021 was met with criticism from fans, who felt it was a step backward. The team's performance on the field has been equally disappointing, with five defeats in their opening six games, including a 5-0 drubbing and a pair of 3-0 humblings. The team's owner, Joey Saputo, has invested heavily in Bologna FC, an Italian Serie A club where he has been majority shareholder and chair since October 2014. Despite the close ties between the two clubs, CF Montreal are not benefiting much from their association. The team's academy is underdeveloped, with just three homegrown products having logged a combined 1,737 MLS minutes. In contrast, Bologna FC had a successful season, playing Champions League football and winning the Coppa Italia. The stark difference in performance between the two clubs has raised concerns about the future of CF Montreal. The team's latest struggle led to the departure of head coach Marco Donadel after a dismal start to the season. His replacement has not been announced yet. The team's poor performance has made them a worryingly neglected holdover in the league.

On a recent weekday evening, a special bus tour whisked art lovers through over twelve galleries and museums that stayed open until midnight, offering a late‑night glimpse of the Abidjan Art Week programme.The after‑hours event, dubbed the Night of the Galleries, was first trialled in January 2024 alongside the Africa Cup of Nations – a tournament that Côte d’Ivoire both hosted and won – and has become a staple of the festival’s third edition, which ran from Tuesday to Sunday.Since its inception, the week has broadened its footprint, moving beyond the city centre to include venues such as the La Rotonde des Arts contemporary‑arts hub in the Plateau district and the Adama Toungara Museum of Contemporary Cultures (MuCAT) in the working‑class neighbourhood of Abobo.Local collectors are emerging in force. MuCAT has hosted the Africa Foto Fair each year since 2022, and the Marché des Arts du Spectacle d’Abidjan – the city’s answer to the Dakar Biennale – is set to launch its 14th edition later this month.A graffiti festival launched two years ago has transformed the perception of street art, with vibrant murals now adorning the façade of the La Pyramide building and several upscale hotels in Plateau.Organisers stress that the festival’s growth should be independent of external validation. This year’s roster featured artists from Cameroon, the Democratic Republic of the Congo and Mali, and the number of participating galleries more than doubled compared with previous editions.Founder Yacouba Konaté, who also directs La Rotonde des Arts, highlighted the festival’s commitment to accessibility, arguing that art should not be seen as an elite pastime.The opening tribute honoured Simone Guirandou‑N’Diaye, a pioneering Ivorian art historian whose legacy lives on through Galerie LouiSimone Guirandou, now run with her daughter Gazelle.Among the week’s highlights, MuCAT presented Murmures d’Archives, a quieter, archival‑focused exhibition that concluded with an artists’ workshop and a DJ set.In the upscale Cocody district, New York‑based artist Ouattara Watts staged a solo show at Galerie Cécile Fakhoury, drawing the Ivorian diaspora into dialogue with the local scene. Watts explained that his work aims to transcend borders, describing it as “a vision that goes beyond any map – it is the cosmos that I paint.”

Rory McIlroy has joined an elite club by defending his Masters crown at Augusta National, becoming just the fourth golfer ever to win the tournament back‑to‑back. The Northern Irish star edged out world No. 1 Scottie Scheffler by a single shot, marking his sixth major championship and cementing his place in golf history. Speaking after the victory, McIlroy emphasized that the win is a stepping stone, not a final destination. “I just won my sixth major and I feel like I’m in a really good spot with my game and my body,” he said. “I still have things I want to achieve and I want to enjoy the journey.” His parents, Rosie and Gerry, who missed the 2025 ceremony, were present this year, adding a personal dimension to the triumph. “It’s amazing to have them here,” McIlroy remarked, noting that their presence reinforced his motivation and gratitude. Despite the celebratory mood, McIlroy’s performance was far from flawless. He hit only 55% of fairways and recorded 48 of 72 greens in regulation over four rounds. A six‑shot lead after 36 holes evaporated by the 54‑hole mark, and a wayward drive into the trees on the final tee underscored the pressure he faced. Reflecting on the difficulty of the feat, McIlroy admitted, “I don’t make it easy. I used to win by eight shots in my early 20s. This year I realised it’s just really difficult to win the Masters.” He described the moment of uncertainty on the 18th tee as “the greatest stress,” highlighting the thin margin between victory and defeat. Looking ahead, McIlroy signaled that his ambitions extend beyond the Masters. While he plans to take a brief break, he dismissed the notion of a post‑victory lull, stating, “I don’t think I’ll go through that lull of motivation… I still want to enjoy it as well.” With his back‑to‑back Masters titles now secured, the golfer’s next targets remain speculative, but his confidence suggests a continued push for further major victories and possibly a career Grand Slam.