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A Miami‑based U.S. District Judge, Darrin Gayles, dismissed former President Donald Trump’s $10 billion defamation lawsuit against the Wall Street Journal and its proprietor Rupert Murdoch. The case centered on a July 2025 article that linked Trump to a birthday greeting allegedly sent to convicted sex offender Jeffrey Epstein.Judge Gayles concluded that Trump, as a public figure, did not satisfy the stringent “actual malice” threshold required in defamation actions. To prevail, a plaintiff must prove that the media outlet knowingly published false information or acted with reckless disregard for the truth.In his written opinion, Gayles noted that WSJ reporters had reached out to Trump for comment before publishing the story and included his denial, thereby giving readers a balanced view. He wrote, "This complaint comes nowhere close to the actual‑malice standard—quite the opposite."The judge granted Trump permission to file an amended complaint, setting a deadline of April 27 for any revisions.Trump’s original filing labeled the alleged birthday note to Epstein as a “fake” and sought damages for perceived harm to his reputation. The newspaper’s parent company, News Corp’s Dow Jones & Company, defended the article’s accuracy, emphasizing its adherence to journalistic standards.The dismissal adds to a series of legal setbacks for the former president as he attempts to curb reporting on his connections to Epstein. Trump announced on his Truth Social platform that he intends to re‑file the suit within the court‑ordered timeframe.A Dow Jones spokesperson welcomed the decision, stating, "We are pleased with the judge’s decision to dismiss this complaint and stand behind the reliability, rigor, and accuracy of The Wall Street Journal’s reporting."

World Aquatics has announced that Russian and Belarusian athletes will be allowed to compete under their national flags and anthems in international swimming and aquatic sports events. This decision marks the end of restrictions imposed after Russia's invasion of Ukraine in February 2022. The move follows a similar decision by the International Paralympic Committee, which allowed Russian and Belarusian athletes to compete under their own national flags at the 2026 Winter Paralympics. Senior athletes with Belarusian or Russian sport nationality will be permitted to compete in World Aquatics events in the same way as their counterparts representing other sport nationalities, with their respective uniforms, flags and anthems. To compete, athletes from Russia and Belarus must pass at least four consecutive anti-doping controls. World Aquatics President Husain Al Musallam stated, 'We are determined to ensure that pools and open water remain places where athletes from all nations can come together in peaceful competition.' This decision signals a further easing of limits on Russian and Belarusian athletes, who have been allowed to compete as neutrals since September 2023. The next world swimming championships will take place in Budapest, Hungary, in 2027.

Peter Magyar, the leader of the Tisza party, announced a comprehensive reform agenda hours after his coalition was declared the winner of Hungary’s parliamentary election, ending Viktor Orban’s 16‑year rule. He emphasized that his government will work to restore the rule of law, plural democracy and a system of checks and balances that he says were eroded under the previous administration.At a news conference, Magyar detailed plans for a new anti‑corruption office and a separate body to oversee government spending, aiming to curb the graft that plagued the former regime. He also announced a constitutional amendment that will limit future prime ministers to two terms, a direct response to Orban’s repeated changes to the constitution designed to extend his hold on power.Regarding foreign policy, Magyar pledged that Hungary will remain a committed member of both the EU and NATO, describing these alliances as essential guarantees of peace. He vowed to phase out dependence on Russian oil and gas by 2035 and to pursue a cooperative, rather than confrontational, dialogue with Brussels.The new government is expected to unlock roughly €18 billion in EU funding, and Magyar highlighted that the parliamentary shift could also release a €90‑billion loan package for Ukraine that Orban had blocked a month earlier.Magyar’s position on Ukraine is nuanced. He called the country “the victim in the war” and said he would press President Vladimir Putin to end hostilities, yet he maintained that “fast‑tracking Ukraine’s EU accession is completely out of the question while the war continues.” He added that the restoration of ethnic Hungarian minority rights in Ukraine would be a precondition for deeper ties.On trans‑Atlantic relations, Magyar affirmed that the United States remains “a very important partner” and expressed a desire for “good relations” with the Trump administration, noting the recent visit of U.S. Vice President JD Vance to Budapest.Domestically, Magyar called on President Tamas Sulyok to expedite the transfer of power and urged the president to resign, reminding readers that the president must convene a new parliament within 30 days, after which lawmakers will elect the new prime minister.

Peter Magyar, leader of the Tisza party, secured a landslide victory in Hungary’s parliamentary elections, obtaining a clear mandate to restore the country’s ties with the European Union and revive a stagnant economy. For more than 16 years, Viktor Orban’s government clashed with Brussels, rejecting sanctions on Russia, opposing aid to Ukraine and consequently losing access to European financing. The new administration is expected to reverse that trajectory. Magyar has pledged to unlock over €16 billion in EU funds allocated after the COVID‑19 pandemic, but he must enact reforms on the judiciary, rule of law and anti‑corruption measures before an August deadline to meet EU criteria. Economic stagnation has been severe: Hungary recorded near‑zero growth for three consecutive years and posted the highest inflation rate in the EU in 2023. Voters cited the cost of living as a primary concern, which Magyar addressed by promising a “kick‑start” of the economy. On foreign policy, Magyar is likely to adopt a more collaborative stance toward Ukraine. While he previously opposed Kyiv’s accelerated EU accession and military support, analysts expect him to lift the veto on a €90 billion loan to Ukraine that Orban blocked in February, creating a “money‑for‑Ukraine, money‑for‑Hungary” trade‑off. Nevertheless, Magyar will retain a pragmatic approach to energy security. He affirmed that Russian fuel imports will continue as a safeguard against global shortages, even as he seeks to distance Hungary politically from Moscow. Migration policy is set to soften rhetorically. The Tisza party plans to tone down Orban’s aggressive anti‑refugee messaging while maintaining a hard line on border protection, including keeping the controversial fence and opposing EU relocation quotas. This shift aims to eliminate a €200 million fine imposed for breaching asylum‑seeker rights. Experts caution that Magyar’s rise does not guarantee unanimity within the EU on contentious issues such as Ukraine’s accession or sanctions on Russia. Former Orban allies who shared his hard‑line positions may now be compelled to articulate their own stances. Overall, Magyar’s victory marks a potential turning point for Hungary, offering a pathway back into the EU’s decision‑making core and a chance to address long‑standing economic and diplomatic challenges.

The UK's housing crisis has reached a critical point, with homelessness rates among over-55s on the rise. The current housing system is failing to provide affordable options, leading to a growing number of people relying on friends and family for a roof. The issue is not just about the number of homes being built, but also about the type of housing being constructed. Currently, four-bedroom detached houses on car-dependent estates are being prioritized, which do little to address the needs of those facing rising rents and insecure tenancies. To address this crisis, there is a pressing need for genuinely affordable social housing within existing towns and cities. This means building accessible, energy-efficient homes close to shops, healthcare, green spaces, and public transport. Local authorities and housing organizations have long argued for urban densification, but planning policy still favors sprawl. The financial implications of inaction are stark. By 2029-30, local councils across England are projected to spend almost £4bn annually on temporary accommodation for those experiencing homelessness. Meanwhile, the building of new social housing, a key solution to the issue, is at historic lows. The government's intention to invest in affordable housing is welcome, but it will only deliver 300,000 new homes over a 10-year period, while there are currently 1.34m households on local authority waiting lists. To address this crisis, local councils, central government, and civil society must come together to devise an exit strategy that transforms the skyrocketing temporary accommodation bill into long-term investment in permanent social housing stock.

The ongoing conflict between the US and Iran has taken a turn for the worse, with President Trump's decision to escalate rather than negotiate turning this into a global problem. Europe, which had initially adopted a stance of non-involvement, is now facing the consequences of Trump's actions. The US naval blockade of Iran aims to prevent the country from shipping oil to market unless it allows free passage through the Strait of Hormuz. However, this move has caused oil prices to rise and stocks to fall, with the global economy feeling the pinch. The International Monetary Fund (IMF) meeting in Washington has turned into a crisis summit, with global growth forecasts being revised down due to the expected prolonged energy shock. The conflict has also raised concerns about shortages of essential goods such as medicines, fertilizers, and helium, which could have far-reaching consequences for the global economy. The article suggests that Trump's threats to stop tankers reaching Iranian ports and seize any ship paying Iran a toll for safe passage risk spiraling the war out of control. In this context, former UK Prime Minister Boris Johnson's suggestion that Europe should help the US get out of the mess it has created has some merit. The article argues that Europe needs to find a way to help Trump retreat without losing face, and that diplomacy and negotiation are crucial to resolving the crisis. The article concludes that Trump's war aims are unpredictable and that the US needs NATO's diplomats and ideas to resolve the crisis, rather than just brute force. Europe must find a way to work with the US to end the conflict and prevent further economic damage.

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.

Liverpool FC is gearing up for a crucial Champions League showdown against Paris Saint-Germain, with manager Arne Slot expressing confidence in his team's ability to turn the tide in their favor. The Reds are facing a daunting task, having lost 2-0 in the first leg at Parc des Princes.Slot emphasized that his team must deliver a great performance to overcome the European champions, stating that while the task is complicated, it is not impossible. He drew on his team's past successes, highlighting that in 36 of their 50 home games under his management, Liverpool has scored two or more goals.The Liverpool head coach is instilling belief in his players, citing examples of their ability to perform at a high level, even against strong opponents. He noted that his team has shown resilience in the face of adversity, such as coming back from 4-0 down against Manchester City in the FA Cup.Dominik Szoboszlai, Liverpool's midfielder, echoed Slot's sentiments, urging his teammates to go 'all in' from the first minute to the final whistle to knock out PSG. Szoboszlai expressed his desire to secure a win, stating that anything can happen at Anfield in a one-off game.Meanwhile, PSG's manager, Luis Enrique, warned his players not to underestimate Liverpool, cautioning that there could be pitfalls and that the game can change quickly. He emphasized the importance of taking care of details and not allowing Liverpool to benefit from their home crowd and noise.

Rory McIlroy's sixth major victory at the Masters Tournament has cemented his status as a golfing great, drawing comparisons to Seve Ballesteros and other legends of the sport.McIlroy's achievement is not just about the numbers; it's about the style and excitement he brings to the game. His thrilling performances have captivated audiences, making him a must-watch for fans and a key figure in golf's popularity.The Northern Irish golfer's journey to success has been inspiring, from his humble roots in Belfast to his rise as a global superstar. His relatable personality and dedication to hard work have endeared him to fans worldwide.McIlroy's comeback at the Masters was nothing short of remarkable. Despite struggling with consistency, he managed to secure a dramatic win, showcasing his resilience and creativity on the course.His influence on golf extends beyond his own performances. McIlroy is a key figure in shaping the sport's future, and his involvement in high-profile events like the Ryder Cup has made him a leader in the golfing world.