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Pakistan's Diplomatic Mission to IranPakistan's Interior Minister Mohsin Naqvi has travelled to Iran to deliver a "special letter" to Iran's Supreme Leader Mojtaba Khamenei as part of diplomatic efforts to end the United States-Israeli war on Iran, which began 100 days ago.Naqvi arrived in the Iranian capital, Tehran, late on Saturday, and met his Iranian counterpart, Eskandar Momeni. The two discussed the "latest regional developments and matters related to internal security", among other issues, Naqvi said on social media. Before his arrival, Iranian media reported that the Pakistani official was carrying a letter from his country's army chief and prime minister for the supreme leader.Rising Tensions in the Gulf RegionHis visit comes amid renewed tensions in the Gulf region. On Sunday, the US Central Command (CENTCOM) said its forces had shot down two Iranian one-way attack drones "that threatened international maritime traffic in the Strait of Hormuz".On Friday, it said it intercepted seven ballistic missiles heading towards Kuwait and Bahrain hours after it had shot down four Iranian drones launched towards the strait, a key waterway through which about 20 percent of globally traded oil normally passes. United States forces said they "subsequently" struck Iranian coastal surveillance radar sites in Garuk and on Qeshm Island "to defend against further maritime attacks".The attacks drew the ire of Gulf nations that are bearing the brunt of a war they lobbied against. Bahrain denounced the latest attacks as "blatant aggression". The island nation hosts the headquarters of the US Fifth Fleet. Kuwait said the attacks "represent a dangerous escalation". Egypt, Jordan and Qatar joined the condemnation.Stalled Peace NegotiationsDespite tit-for-tat attacks and sporadic exchanges of fire, negotiations over a deal to end the war are continuing, but an agreement remains elusive.US President Donald Trump has alternated between threatening a renewed military campaign and expressing optimism about a diplomatic breakthrough. On Wednesday, he said an agreement could be finalised over the weekend.But Iranian officials have offered a more cautious tone. "The negotiations are at a deadlock, and Trump must break this deadlock," Mohsen Rezaei, military adviser to Iran's supreme leader, told US media outlet CNN on Saturday. He also called for the release of about $24bn in frozen Iranian assets.Key Obstacles to PeaceThe unfreezing of Iranian assets is one of the key sticking points in ongoing talks. On Wednesday, media reports said US Treasury Secretary Scott Bessent was considering using them to support rebuilding efforts in the Gulf caused by Iranian attacks."The Treasury will utilise all tools available to allow Iranian assets to be made available to our Gulf allies to support rebuilding and repairs for any future damage caused by Iran," a US official told several news agencies.Other sticking points include an end to hostilities across all fronts, including Lebanon; sanctions waivers on crude exports; the lifting of a US port blockade; and leverage over the Strait of Hormuz.Global Energy Security at RiskIran has blocked the narrow waterway since the US and Israel launched the war on February 28. Tehran responded by firing waves of drones and missiles at Israel, US targets in the region and neighbouring Gulf countries.It declared the Strait of Hormuz closed and threatened to attack vessels transiting through the narrow waterway without its permission. Its effective control of the trade chokepoint sent oil and gas prices to a multi-year high and threatened global supplies.Armed hostilities largely subsided after the temporary Pakistan-mediated ceasefire began on April 8. Direct talks in Islamabad broke down on April 12, and the two sides have exchanged a series of proposals to end the war via Pakistan since then. However, several flare-ups since have led to growing fears that full-scale fighting could resume.

The Final Curtain: A Pivotal Moment in Music HistoryThe Beatles' last official concert on August 29, 1966, at Candlestick Park in San Francisco marked more than just the end of a touring era—it symbolized a fundamental shift in how music would be created and experienced. As Jim Marshall's photographs capture, the band was already feeling nostalgic for what they were leaving behind, even as they stood on the precipice of their most innovative period.The Creative Divide: Studio Innovation vs. Live PerformanceTwo months before their final show, the Beatles had completed recording "Revolver," an album that would push the boundaries of popular music. Yet during their final tour, they performed none of these groundbreaking tracks. The complexity of songs like "Eleanor Rigby" and "Tomorrow Never Knows" simply couldn't be replicated in a live setting with their four-piece band configuration.This creative divide reveals a crucial moment in music history. Until the Beatles, recordings were essentially documentation of live performances. Their first album, "Please Please Me," captured songs honed on stages in Hamburg and Liverpool. By 1966, however, the Beatles had come to see the studio as a creative platform in its own right—a place where experimentation with sounds and techniques could create something entirely new.The Changing Landscape of Live MusicWhile the Beatles were pioneering studio techniques, other artists were revolutionizing the live concert experience. Bob Dylan and the Rolling Stones were developing what we now recognize as the modern rock gig—longer performances, more artistic expression, and a direct connection with audiences that extended beyond simple entertainment.The Beatles' live shows, by contrast, remained stuck in the past. Their 1966 concert format resembled a package-tour variety show, with five or six acts and the Beatles appearing last for a breathless half-hour set before saying goodnight. This disconnect between their recorded work and live performances became increasingly unsustainable as their studio work grew more ambitious.The Legacy of the Final TourThe Beatles' decision to stop touring wasn't merely a practical response to the challenges of performing complex music live—it reflected a deeper artistic evolution. By focusing on studio innovation, they paved the way for future artists who would similarly embrace recording technology as an integral part of the creative process.Ironically, this decision that seemed to separate them from their audience would ultimately transform how musicians connected with fans. The studio innovations pioneered by the Beatles during this period would influence generations of artists, creating new possibilities for musical expression that continue to resonate today.The End of an Era and the Birth of a New Musical LanguageThe Beatles' final tour marked not just the end of an era for the band, but a turning point for popular music as a whole. As they transitioned from live performers to studio innovators, they helped create a new musical language that would define the decades to come.The photographs from this period, capturing the band at this transitional moment, serve as a visual document of one of music history's most significant transformations. They show a group on the cusp of their most creative period, already looking back with nostalgia at the live performances that had made them global superstars, while simultaneously embracing the future possibilities that studio recording would unlock.

The Hamstring StrainLionel Messi sat out Argentina’s friendly match against Honduras as he continues to manage muscle fatigue and a mild strain in his left hamstring ahead of the upcoming World Cup.Messi, who turns 39 in three weeks, was active after warming up with his teammates at Kyle Field on the campus of Texas A&M; before the game on Saturday night. He stayed on the bench, though, watching from the sideline as Argentina won 2-0.Recovery ProgressThe team has said Messi’s recovery time will depend on “his clinical and functional progress.”Messi was diagnosed with muscle fatigue in his left hamstring by his Major League Soccer (MLS) club Inter Miami after he made an abrupt exit from Miami’s 6-4 victory over Philadelphia in the 73rd minute late last month.Upcoming World Cup MatchesArgentina next play Iceland in Auburn, Alabama, on Tuesday in a final World Cup tune-up before resuming their training in Kansas City, where the Albiceleste will begin their World Cup title defence against Algeria at the Arrowhead Stadium on June 16.During workouts in Kansas City on Wednesday, Messi came to the practice field after the rest of the team and did some conditioning work off to the side.World Cup RecordsMessi, who’s widely expected to retire from international football after the tournament, holds the record for most World Cup matches (26) and needs four more goals to surpass Germany’s Miroslav Klose’s World Cup record of 16.Friendlies Before the World CupMeanwhile, multi-champions Brazil and Germany also won their preparatory games, although by small margins, with former champions England and hopeful Portugal also securing victories.The busy day of friendlies saw some of the biggest stars on display, with Cristiano Ronaldo, Vini Jr and Mohamed Salah playing.

The Monaco MasterclassFormula One racing sensation Kimi Antonelli made a mockery of suggestions that the Monaco Grand Prix would stall his incredible start to the season by producing a stunning qualifying lap to stick his Mercedes on pole position. The 19-year-old championship leader edged out Red Bull's Max Verstappen by just 0.043 seconds to become the first Italian since Jarno Trulli in 2004 to take pole position in the principality.The Magic Lap That Secured HistoryThe qualifying battle lived up to expectations, with provisional pole changing hands several times before Antonelli snatched it with his final lap on Saturday. "It was one of those laps that we call a magic lap. I was able to put it all together. It was such a close qualifying with Max," Antonelli, who clocked 1:12.051 (1 minute and 12.051 seconds) to claim his fourth pole in six races this season, said.Championship Standings and Team PerformanceAntonelli is the youngest driver to lead the championship, having won the last four races, but the unique nature of Monaco's twisting circuit, full of slow corners, was supposed to take away the Mercedes power advantage. Ferrari had been strongly tipped as race favourites but had to be content with the second row on Sunday's grid, with Lewis Hamilton third quickest, 0.228 seconds slower, and local favourite Charles Leclerc, winner of the race in 2024, fourth.Shattering Monaco ExpectationsAntonelli's performance has significantly altered the dynamics of the championship race. Ferrari dominated Friday's two practice sessions, with Hamilton and Leclerc first and second in both, although Antonelli was quickest in Saturday's final practice. "Congrats to Kimi. Mega, mega job. Having your first pole here is so special," three-time Monaco champion Hamilton, who is yet to win a race for Ferrari, said. "It was tough for us. We were looking so strong in practice, and we barely changed anything, but the car was drastically different once we got to qualifying for some reason."Race Day PredictionsWith the Monaco circuit being notoriously difficult to overtake on, Antonelli now has a golden chance to continue his dream start to the season by emulating Trulli, who converted his pole into a victory in his Renault in 2004. Of the last 22 Monaco Grands Prix, only six have been won by a driver who did not start on pole, such is the extreme difficulty of overtaking on the narrow, twisty circuit. "If you would have told me yesterday I would be on the front row, I would have taken it," Verstappen said, acknowledging the challenge ahead.

The Lead: A War‑Year Timeline of Near‑Deal MomentsThe conflict that began with Operation Epic Fury on February 28 has seen several flashpoints where a US‑Iran settlement seemed possible, only to dissolve amid competing demands and renewed hostilities.April 8: Pakistan‑mediated ceasefire begins.April 11‑12: Direct talks in Islamabad.April 16‑17: Lebanon ceasefire and temporary Hormuz opening.June 1: Trump’s angry phone call with Netanyahu.Direct Talks in Islamabad: First Direct US‑Iran Negotiations Since 1979What happened: On April 11‑12, the US and Iran met in Islamabad, the first direct dialogue since the 1979 revolution. The US team was led by Vice President JD Vance with Special Envoy Steve Witkoff and Jared Kushner. Iran’s delegation included Foreign Minister Abbas Araghchi, Parliament Speaker Mohammad Bagher Ghalibaf, and senior security figure Ali Bagheri Kani.What went wrong: After 21 hours, Vance announced the talks would end without an agreement, citing Iran’s refusal to accept the US “final and best offer” and to provide a long‑term nuclear‑non‑proliferation commitment.Quantifying the Stakes: Ceasefire Dates, Naval Blockade, and Enriched Uranium StockpilesApril 8: Pakistan‑mediated ceasefire begins.April 12: US announces a naval blockade of Iranian ports.Iran holds an estimated 440 kg (970 lb) of uranium enriched to 60 %, short of the 90 % weapons‑grade threshold.20 % of the world’s oil and LNG pass through the Strait of Hormuz each day.During the war, transit fees for ships in the strait have reportedly reached $2 million per vessel.Lebanon casualties: >3,000 killed since March 2; >600 killed in the month after the April 16 ceasefire.Why Each Attempt Crumbled: Political Red Lines and Strategic MisalignmentsThe failures share common friction points:US demand for a definitive, long‑term nuclear commitment versus Iran’s insistence on deferring details.Israel’s continued strikes in Lebanon, violating the April 16 ceasefire and undermining Iran’s “red line” for peace.US‑imposed naval blockade that undercut any momentum from the Islamabad talks.Control of the Strait of Hormuz—Iran seeks leverage through tolls; the US pushes for pre‑war free navigation.Personal and diplomatic tensions, exemplified by Trump’s angry call to Benjamin Netanyahu, which did not translate into concrete de‑escalation.Looking Ahead: What the Pattern Suggests for Future US‑Iran DiplomacyRepeated near‑misses indicate that any viable settlement will likely require:A multilateral framework that addresses both the nuclear issue and regional security concerns, especially Israel‑Lebanon dynamics.Concrete, verifiable steps on nuclear enrichment limits, possibly linked to phased sanctions relief.Mechanisms to keep the Strait of Hormuz open without imposing punitive fees, restoring confidence in global energy markets.Continued third‑party mediation—Pakistan’s role proved useful but needs broader international backing.Without aligning these strategic interests, future talks may again stall at the “last five percent” of agreement.

The LeadThomas Tuchel was unhappy with England's "freestyle" performance in the first half of their 1-0 win over New Zealand but the head coach was pleased with Jude Bellingham's impact as a substitute in Tampa. Harry Kane's goal just before half-time was the difference in a forgettable encounter at Raymond James Stadium.Tuchel's Tactical Concerns"I'm OK with it," was the German's forthright assessment of England's display. "I'm not super-happy about it. I like the second half more than the first half. We played more from our positions and that's why we played with more speed and off the ball we played with a bit more bite. The first half we were out of positions and it was a bit too much freestyle."Tuchel explained that his "freestyling" comment mainly related to positional awareness. "We were lacking width so players were coming inside and narrowing ourselves down and slowing ourselves down and changing positions for too long," he said. "We were taking crosses, a lot of long-range shots, normally not our style of play. We played a lot of long balls, we played a lot of long passes. That was not part of training in the last four days."Match ChallengesThere were other factors behind England's lack of flow. They fielded different XIs in each half, the pitch was awkward and the heat was difficult to master. "We had one training in the sun and now this match felt really, really odd," Tuchel said. "But it's good that we're exposed because that's why we're here. We wanted it that way and we need to get used to it because it will come at some point."Bellingham's ImpactBellingham was handed the captain's armband after replacing Morgan Rogers at half-time and the Real Madrid midfielder pressed his case to start in the No 10 role when England open their campaign against Croatia on 17 June."Jude has the decisiveness and he has the bite," Tuchel said. "This is a key characteristic. You can see that he comes back from an injury and is full of energy and happy to be back on the pitch. He had his break, unfortunately, in a decisive part of the season. But you can see now that he is actually in a sweet spot. He comes back, he's fresh, he wants to play and he's in top shape."Kane's ImportanceKane's 79th goal for England, who head to Orlando to face Costa Rica in their final warm-up game on Wednesday, underlined the captain's importance to the side. "He's always there to score," Tuchel said. "It's a decisive goal. Harry is in top shape and I think that when the pressure comes and the tournament starts, that will bring the best out of all our players."

The Legal Challenge to Utah's Stratos DatacenterUtah residents have teamed up with a progressive non-profit organization to sue over an under-development AI datacenter backed by celebrity investor Kevin O'Leary, claiming the planned Stratos project facility "irrevocably" cuts off citizens' rights by not allowing sufficient public input. Filed by the Alliance for a Better Utah and five unnamed residents of Box Elder county, the lawsuit contests the constitutionality of the state's military installation development authority (Mida) and its approval of the project.The Controversial Approval ProcessThe alliance and residents are challenging the special entity that oversees the datacenter's proposal, arguing it bypasses normal democratic processes. "Under the Stratos plan, it would hold permanent, irrevocable control over public health, safety, taxation and land use across tens of thousands of acres of Box Elder county, with no voter recourse," plaintiffs' attorney David Irvine said in a statement. Initial proposals for the datacenter envisioned a 40,000-acre (16,200-hectare) campus in Utah's Hansel valley.Project Scaling and ConcessionsThe legal action comes as O'Leary has agreed to scale back the physical footprint for the project. Utah state senate president Stuart Adams later said O'Leary had agreed to a reduction in size, a commitment of water to the Great Salt Lake and "thousands of acres to be set aside for open space, wildlife protections and continued agricultural use." Adams added that the Stratos project is in its "earliest stages" and a full permitting and environmental review process will be carried out.Environmental and Economic ConcernsThe controversy highlights growing tensions between technological expansion and environmental preservation in the American West. Opponents have raised concerns about the project's potential impact on water resources in an already arid region, particularly its effect on the Great Salt Lake. Meanwhile, proponents like O'Leary emphasize the economic benefits, including the creation of construction jobs, high-paying tech positions, and billions of dollars of investment in the region.Geopolitical Dimensions and Future OutlookThe dispute has taken on geopolitical dimensions as O'Leary accused opposition groups of having links to "Chinese backed interests" and turned over evidence to federal authorities. This accusation comes as four congressional Republicans called on the FBI to investigate "foreign influence campaigns" working to slow American AI progress. Looking ahead, the legal battle and ongoing negotiations suggest that large-scale datacenter projects in the U.S. will face increased scrutiny regarding environmental impact, public consultation, and national security considerations.

The Historic Artemis II SplashdownThe Artemis II mission concluded with a spectacular splashdown in the Pacific Ocean, marking a pivotal moment in humanity's return to crewed lunar exploration. NASA's Orion spacecraft, carrying a crew of four astronauts, successfully completed its journey around the Moon and returned to Earth, demonstrating the capabilities of the agency's deep space exploration systems.Technical Breakthroughs in the MissionThe Artemis II mission showcased several technological advancements that will be crucial for future lunar and deep space missions. The Orion spacecraft's heat shield withstood re-entry temperatures of up to 5,000 degrees Fahrenheit, protecting the crew during their descent. The mission also tested new navigation systems and communication protocols that will enable future missions to operate farther from Earth than ever before.Mission Statistics and AchievementsTotal mission duration: 10 daysDistance traveled: approximately 1.4 million milesOrbital altitude around Moon: 80 milesFirst crewed mission to orbit the Moon since Apollo 17 in 1972First woman and first person of color to travel to lunar orbitImpact on Global Space ExplorationThe success of Artemis II represents a significant shift in international space cooperation and competition. While NASA leads the mission, contributions from international partners including ESA, JAXA, and CSA highlight the collaborative nature of modern space exploration. This mission sets the stage for Artemis III, which will land the first woman and next man on the lunar surface, potentially establishing a sustainable human presence on the Moon.Future of Lunar ExplorationFollowing the success of Artemis II, NASA is accelerating its timeline for Artemis III, which aims to land humans on the Moon by 2028. The agency is also developing plans for Artemis Base Camp, a sustainable lunar habitat that will serve as a foundation for future Mars missions. The long-term vision includes establishing a lunar economy through mining operations, tourism, and scientific research, with the Moon serving as a stepping stone for deeper space exploration.

Lead: A Fresh Set of Chess‑Inspired Brain TeasersToday the Guardian presents four quirky chess puzzles, curated by We Solve Problems, a UK charity that runs free maths circles for secondary‑school students. The puzzles range from graph‑theoretic parity proofs to knight’s tours, inviting readers to engage with mathematics through the lens of chess.Odd‑Numbered Games: Proving an Even Count of PlayersThe first puzzle asks participants to demonstrate that in any tournament where some players have played an odd number of games, the number of such players must be even. This classic result stems from the handshaking lemma in graph theory, where each game contributes two to the total degree sum.Knight’s Tour Challenge: From Bottom‑Right to Top‑LeftThe second puzzle explores whether a knight can start on the bottom‑right corner of an 8×8 board, visit every square exactly once, and finish on the top‑left corner. While a closed knight’s tour exists, the specific start‑end constraint makes the problem a subtle variation that tests spatial reasoning.Pawn Promotion Loop: Minimal Moves to Return HomeThe third puzzle asks for the fewest moves required for a pawn to leave its starting square, promote to a queen, and then travel back to its original position, assuming both players cooperate. Solving it involves coordinating pawn advancement, promotion, and a reverse queen’s path.Four‑Knight Swap on an Irregular GridThe final puzzle presents a strangely‑shaped grid where two pairs of knights must exchange places. A single insightful observation about symmetry unlocks a solution, illustrating how abstract thinking can simplify seemingly complex board problems.Scale of the Maths‑Circle InitiativeMore than a dozen cities across the UK host weekly maths circles.Each circle runs from September to May, targeting pupils aged 7‑11.Volunteer mentors are typically post‑graduates or PhD students.Why Chess‑Based Puzzles Matter for Youth EducationIntegrating chess puzzles into community programmes leverages the game’s universal appeal to foster logical reasoning, combinatorial thinking, and collaborative problem‑solving. By linking puzzles to popular documentaries about Judit Polgár and Hans Niemann, the charity taps into current cultural interest, boosting participation.Looking Ahead: Expanding Collaborative Math OutreachGiven the positive response, We Solve Problems plans to broaden its reach, potentially adding new puzzle formats and digital platforms. Continued media coverage could attract more volunteers and funding, ensuring that quirky challenges like these remain a staple of UK maths education.