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Israel's ambassador to the United States, Yechiel Leiter, has taken a significant step towards diplomacy with Lebanon, holding a first-ever phone call with his Lebanese counterpart, Nada Hamadeh Moawad. This development marks a break from tradition, as Israel and Lebanon do not have formal diplomatic relations.The talks are set to take place as global pressure mounts on Israel to end its invasion of Lebanon, which has resulted in over 2,000 people killed and over one million people displaced. Leiter, a settlement activist and longtime figure in Israeli political circles, has been at the center of US-Israel relations.Leiter's background includes senior advisory roles in government and associations with far-right politics. His tenure as Israel's ambassador in Washington, DC, began in January 2025, replacing Michael Herzog. Netanyahu's office described Leiter as a 'talented diplomat' with a 'deep understanding of American culture and politics'.However, Leiter has drawn controversy during his time in public service, including over his past affiliations, ideological positions, and rhetoric during Israel's conflicts. He was involved with the Jewish Defense League (JDL) in his youth, a US-based far-right pro-Israel group later classified by US authorities as a 'terrorist' organization.The talks between Leiter and Moawad aim to address the ongoing conflict between Israel and Lebanon. Israel has carried out near-daily attacks on Lebanese territory since a ceasefire started in November 2024, violating the truce hundreds of times. The situation remains complex, with Hezbollah rejecting direct negotiations between Lebanon and Israel.Analysts express skepticism about the success of the talks, stating they 'are designed to fail.' However, they also note that if there is a positive outcome, it will likely be due to US pressure on Israel. The Arab Peace Initiative, proposed in 2002, which offered recognition of Israel in exchange for a two-state solution, has been rejected by Israel.

The US political landscape is increasingly dominated by money, with billionaires and corporations spending vast amounts to influence elections and policy. In California, signature collectors are being paid $15 apiece to gather signatures in support of countermeasures against a proposed billionaire tax.The crisis has escalated since the 2010 Citizens United decision, which shredded limits on independent corporate election spending, fueling the growth of cash-flush Super Pacs and anonymous dark money non-profits. In 2024, $1.5bn in Super Pac donations came from organizations that aren’t required to name their donors.The ruling has, on balance, boosted conservatives, with Republicans receiving a four-point electoral bump in states where Citizens United struck down existing bans on corporate donations. Meanwhile, rampant income inequality has fueled a parallel democratic deficit, with the richest 10% of Americans now owning 93% of the stock market.To rebalance the scales, alternatives such as public election financing are being explored, which helped Zohran Mamdani secure his mayoral victory in New York City last year. Currently implemented in 15 states and Washington DC, these programs issue grants, vouchers and matching funds that augment the power of small donations.Citizens United might also be circumvented by novel legal maneuvering, with states holding considerable authority to define the powers they grant to incorporated entities. In Montana, organizers are collecting signatures for a Transparent Election Initiative that would strip corporations of the power to engage in election spending.

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.

Colombian officials have authorized a plan to cull up to 80 hippos descended from animals brought to the country by Pablo Escobar in the 1980s. The feral beasts have displaced native species and threatened local villagers, prompting the government to take action.The environment minister, Irene Vélez, stated that other methods to control the population, such as neutering or relocating the hippos to zoos, have been expensive and unsuccessful. Up to 80 hippos will be affected by the measure, although the exact timeline for the culling has not been specified.Colombia is the only country outside Africa with a wild hippo population, which originated from four individuals imported by Escobar as he built a private zoo in Hacienda Nápoles. A study published by Colombia's National University estimated that around 170 hippos were roaming freely in the country in 2022.The hippos pose a threat to villagers who have encountered them in farms and rivers, and compete with local species such as river manatees for food and space. Despite the environmental challenges, the hippos have become a tourist attraction, with residents offering hippo spotting tours and selling hippo-themed souvenirs.Animal welfare activists have opposed the plan to kill the hippos, arguing they deserve to live and that addressing the problem through violence sets a poor example for a country that has experienced decades of internal conflict. Andrea Padilla, a senator and animal rights activist, described the plan as 'cruel' and accused government officials of trying to take the easy way out.

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.

Finding the perfect feel-good movie can be a daunting task, especially with the vast library of films available today. However, for the author, Hot Fuzz stands out as the ultimate comfort movie. Directed by Edgar Wright, Hot Fuzz is the second installment in his Cornetto trilogy, following Shaun of the Dead and preceding The World's End. The film tells the story of Sergeant Angel, a fish-out-of-water city cop who teams up with local PC Danny Butterman to investigate a series of mysterious deaths in the sleepy village of Sandford. It's a love letter to buddy cop movies and the action genre, featuring a star-studded cast including Simon Pegg and Nick Frost. The film's blend of humor, action, and smart writing makes it a standout. One of the key reasons Hot Fuzz remains endearing and enduring is its ability to respond to multiple needs. Whether you're looking for something funny, expertly crafted, explosive, thought-provoking, or simply to switch off to, Hot Fuzz delivers. The film's quotability and memorable lines, such as 'For the greater good' and 'It's just the one swan actually', have become ingrained in popular culture. The author's personal connection to the film adds to its significance. Hot Fuzz introduced them to Edgar Wright, whom they ended up writing their dissertation about. The film's impact extends beyond the screen, with its quotes and references frequently popping up in conversations. It's no wonder that Hot Fuzz has become a timeless classic, continuing to entertain audiences to this day. Hot Fuzz is available to rent digitally in the US, on ITVX in the UK, and on Binge in Australia.

The world is gripped by a sense of unease and fear, reminiscent of the early days of the Covid pandemic. However, this time, the threat is more complex and multifaceted. The US president's recent statements and actions have contributed to this anxiety, leaving many to wonder if the world is on the brink of chaos. People are waking up in the middle of the night, checking their phones for updates on social media and news websites, fearing the worst about potential conflicts and their impact on the global economy. The sensation of living through a highly dynamic time in history is overwhelming, with many feeling like they're being swung about by time's paw. The possibility of war is a major concern, with the US president's promise to blockade the Strait of Hormuz, a critical waterway that carries 20% of the world's oil and up to 30% of internationally traded fertilisers. This has significant implications for the global economy, with many people worried about the potential for sharp price rises in fuel, building materials, groceries, and other essential items. The article's author, Brigid Delaney, notes that the current crisis feels different from previous ones, with the potential for world war three looming large. The economic effects of the war have already been felt by billions of people around the world, particularly the poorest, whose governments can't afford to pay a premium to buy fuel in other markets. The humanitarian crisis in the Middle East is also a major concern, with civilians being killed and injured in large numbers. The article highlights the need for attention to be paid to these issues, as they have significant implications for global stability and security. In conclusion, the world is facing a complex and uncertain future, with many people experiencing a sense of dread and anxiety about what is to come. It is essential to stay informed and engaged with these issues, as they have significant implications for our collective well-being.

At 19,000 miles above the lunar surface, the Artemis II astronauts heard the voice of Apollo‑13 commander Jim Lovell greeting them from beyond the grave, a message recorded shortly before his death at 97. Mission control transmitted the tribute on the morning of 6 April, when astronaut Reid Wiseman held a silk square bearing the original Apollo 8 patch—handed to him by Lovell’s son—before the crew’s launch. Launch director Charlie Blackwell‑Thompson secured a unanimous "go" from every console, a moment the author describes as a snapshot of humanity’s capacity to honor the past while reaching for the future. The ceremony stood in stark contrast to the Pentagon’s agenda. Two decades after a 2006 Iraqi kill‑board note reading “Let the bodies hit the floor,” the current defense chief pledged “death and destruction from the sky all day long” against Iran, a stance legal scholars warn could constitute a war crime. That rhetoric accompanies a proposed $1.5 trillion defense budget, including an additional $200 billion earmarked for operations against Iran—figures that dwarf NASA’s entire annual budget of $24.4 billion. Amid this fiscal disparity, crew members reflected on their place in history. Victor Glover, the first Black astronaut to travel deep space, described the view of Earth as an "oasis" in the void, while Christina Koch, the first woman to orbit the Moon, pressed her face to the window and formed a heart with her hands, calling the mission’s spirit "humility." Reid Wiseman watched the planet rotate beneath him, noting the sight of Africa, Europe, and the aurora‑lit north, saying it "paused all four of us in our tracks." Canadian astronaut Jeremy Hansen broke Jim Lovell’s 56‑year distance record and asked mission control to name a lunar feature after his late wife, Carroll. The crew agreed, designating a bright spot on the Moon as "Carroll," a tribute that will endure beyond any single lifetime. When Koch announced the spacecraft’s descent, she radioed, "We are now falling to the moon rather than rising away from Earth," a poetic reversal that underscored the mission’s symbolic return. The article recalls the author’s 2022 reflection on the James Webb Space Telescope, noting how humanity’s finest inventions now aim outward, seeking answers to our origins rather than turning inward toward conflict. Artemis II’s vessel, named Integrity, carried four breathing humans who, in a moment of collective grief, pressed their faces to the glass and imagined the faces of every loved one ever lived, captured in a single frame. Beyond the spacecraft, cultural threads wove through the mission: Hansen’s patch displayed the Seven Sacred Teachings of the Anishinaabe people, and the Chinese myth of Chang’e reminded viewers of the Moon’s timeless allure. As Carl Sagan famously wrote, "We are made of star‑stuff," the Artemis crew embodied that sentiment—not as passive observers, but as active participants in a fragile, hopeful narrative that rises above the relentless tally of bodies on Earth’s battlefields.

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.