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U.S. President Donald Trump launched a scathing attack on Pope Leo XIV on Sunday night, branding the pontiff “weak on crime” and “terrible for foreign policy.” The criticism was posted on Trump’s Truth Social account, where he asserted he does not want a Pope who “criticises the President of the United States.” The outburst appears to be a direct response to recent statements by Pope Leo that condemned the United States’ involvement in the Israel‑Iran conflict. Last week, the Pope issued a rare rebuke of Trump’s threat to eradicate Iranian civilisation, calling the threat “truly unacceptable.” On Sunday, he further urged world leaders to halt ongoing bloodshed, describing the war‑driving mindset as a “delusion of omnipotence.” Trump’s post also referenced the Pope’s earlier questioning of the administration’s hard‑line immigration stance, noting the pontiff’s remark that such policies might not be “pro‑life.” In his response, Trump demanded that Leo “use common sense,” stop “catering to the radical left,” and focus on being a “great Pope, not a politician.” Adding a personal jab, Trump claimed credit for the Vatican’s selection of the first U.S.-born Pope, suggesting the election was intended to curry favour with the White House. “If I wasn’t in the White House, Leo wouldn’t be in the Vatican,” he wrote, before reiterating that he is “not a big fan” of the pontiff, accusing him of “liking crime” and labeling him “very liberal.” The tension echoes past friction between Trump and the Vatican, notably with Pope Francis, who had previously criticized the president’s immigration proposals and questioned his Christian credentials. Despite the diplomatic spat, Pope Leo is scheduled to commence an 11‑day African tour on Monday, beginning with a historic visit to Muslim‑majority Algeria.

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.

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.

England and Spain meet again on Tuesday night in front of more than 70,000 at Wembley in the Women's World Cup 2027 qualifiers. This match comes eight-and-a-half months after they faced off in the Euro 2025 final, which England won.Spain has undergone significant changes since then, with a new head coach, Sonia Bermúdez, and a crop of emerging young players. Despite these changes, they remain unbeaten since the Euros with five wins and a draw in six matches. Bermúdez has already led them to the Nations League title.The visitors have a number of talented young players, including Fiamma Benítez, the 21-year-old Atlético Madrid midfielder, who has made a strong impact with seven goal contributions in the Champions League this season. Another player to watch is Vicky López, the Barcelona winger, who has become a regular starter.England head coach Sarina Wiegman believes that despite the changes, Spain's DNA remains the same: they want to have the ball and play dynamically. Wiegman noted that there might be some tweaks but the principle will be very similar.For England, Leah Williamson is an injury doubt due to a hamstring injury, but she has started training with her international teammates. Keira Walsh is set to win her 100th cap and Wiegman praised her vision and game understanding.England will have to make at least one change from the starting XI that beat Spain in Switzerland, with Ella Toone out injured. Jess Park is likely to start in her place.

More than 1,000 film and television professionals have signed an open letter opposing Paramount’s pending acquisition of Warner Bros Discovery, a deal valued at $111 billion. The signatories include high‑profile names such as Joaquin Phoenix, Ben Stiller, Mark Ruffalo, Yorgos Lanthimos, Kristen Stewart, Jane Fonda, and Emma Thompson.The letter, published on BlocktheMerger.com, warns that the merger would undermine the integrity, independence and diversity of the U.S. media sector, consolidating the number of major studios to just four and jeopardising a "vibrant future" for what it calls America’s "single most significant export" – its cultural content.Signatories argue that media consolidation already weakens competition, leading to fewer mid‑budget films, reduced independent distribution, higher production costs and fewer jobs across the ecosystem. They stress that competition is essential for both a healthy economy and a healthy democracy.Among the notable supporters are directors Denis Villeneuve, Boots Riley, Mimi Leder and Nicole Holofcener, as well as TV veterans David Chase, Noah Wyle, Ramy Youssef, Rob Delaney, Jason Bateman and Ted Danson. The letter also praises California Attorney General Rob Bonta and other state officials for scrutinising the deal.Paramount CEO David Ellison, who outbid Netflix for Warner Bros, claims the merger will boost creative output, pledging to release 30 theatrical titles annually and invest in both studios. Critics, however, remain skeptical, pointing to the Ellisons’ political ties and the risk of fewer politically‑engaged films.Recent accolades underscore the stakes: Warner Bros productions captured a record 11 Oscars in March, while Paramount films earned no nominations. The industry fears that the combined entity could further diminish quality and lead to significant job losses.Paramount has responded with a statement emphasizing that the transaction will “create a company that can greenlight more projects, back bold ideas, support talent across multiple stages of their careers, and bring stories to audiences at a truly global scale—while strengthening competition.” The letter’s authors remain unconvinced, urging regulators to block the merger to preserve competition, protect jobs, and safeguard the cultural export that defines American cinema.

Goldman Sachs's chief executive, David Solomon, has expressed heightened awareness of the capabilities of Anthropic's Mythos AI model and is collaborating closely with the tech firm following warnings about the cybersecurity risk it poses.The US bank has been closely monitoring the rapid advancements in artificial intelligence, including large language models (LLMs), as part of broader efforts to protect itself from hackers.“Obviously the LLMs are making rapid progress and we’re hyper-aware of the enhanced capabilities of these new models with the help of the US government and the model publishers,” Solomon told analysts on an earnings call on Monday.Anthropic, the company behind the Claude family of AI tools, claimed last week that its latest model, Mythos, posed an unprecedented risk due to its ability to expose flaws in IT systems. The company warned that AI models have reached a level of coding capability where they can surpass all but the most skilled humans at finding and exploiting software vulnerabilities.Solomon emphasized that Goldman Sachs is working closely with Anthropic and all of its security vendors to harness frontier capabilities. “We are very focused on supplementing our cyber and infrastructure resilience. And this is part of our ongoing capabilities that we have been investing in, and are accelerating our investment in.”The news comes after the US Treasury secretary, Scott Bessent, summoned Solomon and other big American bankers to Washington to discuss the Mythos model last week. The meeting focused on heads of so-called systemically important banks, where regulators believe that a major disruption to their operations, or their potential collapse, would put financial stability at risk.On Monday, the UK government’s AI Security Institute (AISI) warned that Mythos was a “step up” over previous models in terms of the cyber threat it posed. AISI said Mythos could carry out attacks that required multiple actions and discover weaknesses in IT systems without human intervention.

World champion boxer Terence Crawford was found guilty of careless driving on Monday and ordered to pay a $75 fine stemming from a traffic stop last year that led to a gunpoint incident. The incident occurred on September 28, hours after Crawford's hometown of Omaha held a parade to celebrate his unanimous-decision victory over Canelo Álvarez in a super middleweight championship fight.Crawford was stopped by police after officers observed his vehicle driving recklessly. During the stop, Crawford's head of security informed an officer that he was carrying a legal firearm, and seconds later, another officer spotted a gun on the floorboard. With guns drawn, officers ordered everyone out of the vehicle. Crawford claimed he had leaned over to tell the officer that he also had a legal firearm, but the officer didn't hear him. Police confirmed that all occupants of the vehicle were legally permitted to carry firearms.The traffic stop led to an internal investigation by the Omaha police chief into the officers' actions, which was found to have been lawful. In addition to the $75 fine, Crawford was ordered to pay $49 in court costs. This incident comes after Crawford announced his retirement in December with a 42-0 record and 31 knockouts, making him the first male boxer to capture three unified division titles.

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.