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What the Guardian Puzzle Challenges ReadersThe Guardian’s latest Monday puzzle invites fans of the number 4 to solve a classic digit‑rotation riddle. Readers are asked to find the smallest integer N that starts with 4 and, when the leading 4 is moved to the end, the new number equals one‑quarter of N.The 4‑Shift Puzzle: Rules and the Quest for NFormally, N is of the form 4… (a leading 4 followed by a sequence of digits) and satisfies:N ÷ 4 = …4 (the same digits with the 4 now at the end)The article provides a hint to start with two‑digit numbers and increase the length until a solution is found.Mathematical Insight: Why the Solution Exists at 102564Solving the equation 4 × (10·x + 4) = 10·x + 4 yields the smallest integer 102564. Moving the leading 4 to the end gives 025641, which is exactly ¼ of 102564.Why Such Brain Teasers Matter in Modern MediaThese puzzles stimulate logical thinking, drive engagement on social platforms, and reinforce the Guardian’s brand as a source of intellectually‑rich content. They also create a community of solvers who share methods without revealing the answer, fostering discussion.What to Expect from Future Guardian PuzzlesThe column promises a new challenge every alternate Monday, suggesting a continued mix of classic Olympiad problems and original riddles. Readers can anticipate more mathematically‑driven content that blends education with entertainment.

The Lead The Guardian's weekly podcast roundup features a fascinating look at the history of the World Cup and its intersection with politics, as well as other engaging podcasts on various topics. Pick of the Week: Our Copa Former US soccer player Merritt Mathias and journalists Musa Okwonga and Julio Ricardo Varela team up to explore the history of how global power has influenced the game of soccer. Their podcast, 'Our Copa', begins with musings on this year's World Cup and then delves into the 1934 tournament in Mussolini's Italy, which Uruguay boycotted. The Rest Is Politics: Who Funds Reform? This four-part podcast series, a collaboration between Goalhanger and the Observer, examines the funding model of Reform and Nigel Farage's finances. It questions whether shady donations from crypto tycoons are shaping the future of the UK. Slander & Slay US sports reporters Tracy Sandler and Nikki Kay co-host this podcast, which analyzes the intersection of popular culture and sports. Recent topics include the NBA's 'celebrity rows' and basketball player Josh Hart's decision to bring a glass of red wine to a press conference. If You Please … Himan Brown’s Radio Mystery Theater This podcast celebrates the life and work of Himan Brown, a legend in American radio, and his 1970s horror anthology series. It combines archive recordings of classic episodes with behind-the-scenes insights from Brown scholar John Slavney. True Crime: Dissected Investigative reporter Paul Connolly and forensic psychiatrist Sohom Das team up for this podcast, which examines disturbing events from the past with expertise and care. Their first episode looks at hate crimes in Golders Green and Charleston.

The Incident and Its Aftermath Ben Stokes, the regular captain of the England cricket team, and Gus Atkinson have been omitted from the squad for the second Test against New Zealand. This decision comes after both players were involved in a nightclub incident that resulted in a breach of the team's curfew following their victory in the first Test of the series on Sunday. Stokes' Future Under Scrutiny Stokes, who is also the team's full-time captain, is taking time to consider his future. This incident has reignited discussions about the perceived unprofessional culture within the England cricket team. On Wednesday, Stokes was in meetings with his agent and advisers to discuss the implications of this incident. The Data Analysis Ben Stokes and Gus Atkinson will miss the second Test. Joe Root will lead the team as interim captain. England will be without three of their four leading wicket-takers over the last two years. The Impact Analysis The absence of Stokes and Atkinson, combined with Brydon Carse's ongoing hand injury, poses a significant challenge for England. The team is likely to include two seamers, with potential debutants Sonny Baker and Jofra Archer being strong contenders. Surrey's Matthew Fisher is also part of the squad. The Prediction England's coach, Brendon McCullum, faces a dilemma in deciding whether to bolster the batting or the bowling. This might involve leaving out Shoaib Bashir, who played in the first Test but did not bowl. Somerset's James Rew and Essex's Jordan Cox are likely to be considered for the team.

The Unseen Scars of War In the midst of conflict, the youngest and most vulnerable members of society often bear the brunt of trauma. A recent story from Lebanon sheds light on the journey of a four-year-old child struggling to cope with the aftermath of war. A Child's Experience with War The child's story, though unique, is a stark reminder of the psychological impact of war on children. Exposure to violence and displacement can lead to severe emotional and psychological distress, affecting a child's development and well-being. The Road to Recovery Recovery from such trauma requires specialized care and support. In Lebanon, various organizations are working to provide mental health services to children affected by conflict. These efforts focus on creating a safe environment for children to express their feelings and begin the healing process. The Long-Term Impact The experience of war can have long-lasting effects on a child's mental health and development. It is crucial for communities and governments to prioritize support for these children, ensuring they receive the care needed to overcome their trauma and build a hopeful future. A Call for Action As the international community continues to address the consequences of conflict, it is essential to remember the youngest victims. By supporting initiatives that provide psychological care and rehabilitation to children in war-torn areas, we can help them heal and pave the way for a more peaceful future.

The Book Review It's difficult in 2026 to talk about Iran without confronting a lot of crude certainty. The average non-Iranian gets their information in snippets, filtered by algorithms. The Iranian diaspora is too fractured and traumatised to educate everyone. And the regime has muffled the voices inside its borders, responding to every major uprising with internet blackouts that hide both the people's rage and its own violent response. The History of Iran's Recent Past Bozorgmehr Sharafedin and Yeganeh Torbati's powerful history of the Islamic republic is a badly needed corrective because it is at once an engrossing story and a balanced, meticulously researched primer on modern Iran (the clearest I've ever read). And it is dramatic, personal and often heartbreaking, told through six lives lived at the forefront of the Iranian people's almost five-decade struggle with a corrupt regime that has stolen their freedoms, votes and many thousands of their lives. The 1979 Revolution and Its Aftermath In the 1979 revolution that toppled the Shah, the clerics united Iran's many unhappy factions by promising independence from western influence and economic prosperity (the first supreme leader, Ruhollah Khomeini, 'declared that 'no one must remain without a dwelling in this country' and promised to ensure free electricity and water for the poor'). But, in the place of the monarchy, Khomeini and his acolytes built a mafia state that instituted gender apartheid, worsened every social injustice, killed the arts, decimated living standards, and isolated Iranians from the global culture and economy. The Rise of the Hardliners As they slowly push the reformists out, the hardliners stop pretending to be running a democracy. High-level bureaucrats flaunt their wealth more boldly. The clerics empower 'the [Revolutionary] Guards to enrich themselves', turning a military police force into a business empire that competes for government contracts and runs smuggling networks to overcome sanctions. The Future of Iran These movements are homegrown and deep-rooted, each building on the lessons and mistakes of previous generations. In present-day Iran, it's no longer religious minorities or women or young liberals protesting: it is Muslims, old men, parents, the poor. Stolen Revolution is a careful and unwavering account of the regime's absurdities and crimes. It should be required reading for anyone who cares about human rights or justice in the Middle East.

The Incident and Condemnation Players from both teams in the NBA finals have condemned apparent attacks on San Antonio Spurs fans by supporters of the New York Knicks. Videos circulating on social media showed Spurs fans having their jerseys ripped off on the streets of New York in the aftermath of the Knicks' loss in Game 3 of the finals at Madison Square Garden. Wembanyama's Response “My thoughts of course [are] that we can’t forget it’s a game,” Spurs star Victor Wembanyama said when told of the incidents. “We’re just playing a game out there. I am all for passion, but [with] the respect of each other. It’s unacceptable.” The Data Analysis According to ABC News, 21 people were arrested after Monday’s game in violence related to the NBA finals. The Impact Analysis Several members of the Knicks expressed their disquiet about the behavior of some of their fans. “The game is built off of respect and passion,” Knicks center Karl-Anthony Towns said. “We want everyone to respect each other. We want everyone to enjoy basketball at its purest state. It’s the NBA finals. There’s no better place to watch basketball. Leave the physicality to everyone on the court.” The Prediction The Knicks host the Spurs again on Wednesday night at Madison Square Garden. The Knicks, chasing their first NBA championship since 1973, lead the series 2-1.

The PlanPortugal secured their ninth World Cup appearance, and their seventh in a row, with relative ease. Roberto Martínez's side thrashed Armenia 9-1 in their final qualifying game.Martínez capitalizes on the tactical versatility of his squad, with players like João Neves and Matheus Nunes able to operate as full-backs or midfielders.The CoachRoberto Martínez was close to leaving the national team a year ago but won the Nations League, earning him a vote of confidence from the new FPF president.Star PlayerCristiano Ronaldo remains the centre of attention for Portugal, aiming to pair a World Cup trophy with their Euro 2016 title. He is participating in the tournament for a record sixth time.One to WatchGonçalo Inácio, a centre-back for Sporting, is a key player to watch. He has already featured at Euro 2024 and played a part in last year's Nations League win.Unsung HeroDiogo Costa, Portugal's No 1 since 2022, is a guarantee of safety. He is exceptional with his feet and a penalty-saving specialist.Probable Starting XIThe probable starting XI for Portugal includes a mix of experienced players like Cristiano Ronaldo, Diogo Costa, and Rúben Dias, along with younger talents like Gonçalo Inácio.

The Nuseirat 'Rescue' Operation: A Survivor's Story In May 2024, a family of seven returned to Nuseirat refugee camp in central Gaza, hoping to find stability after months of displacement. However, their lives were shattered when a shell struck their apartment on June 8, 2024, destroying parts of it and leaving them with severe injuries. The Aftermath: Trauma and Suffering The family faced a desperate situation, with no help on the way and no way out. They waited for over three hours, bleeding and struggling to breathe, as their loved ones slipped in and out of consciousness. The ambulance finally arrived, but the trauma continued at Al-Aqsa Martyrs Hospital, where they found hundreds of people waiting, tense faces, and a floor covered in blood. The Human Cost: Ongoing Pain and Trauma Two years later, the impact of that day is still visible in the family. The sisters still carry shrapnel injuries, and their mother and grandmother continue to live with the physical and emotional scars of the attack. The family's apartment was destroyed, and their belongings were damaged, leaving them with a constant reminder of the trauma. The Wider Context: Ongoing Violence and Impunity The 'rescue operation' killed at least 274 people and injured nearly 700 others, according to health authorities. However, some media outlets described it as a 'bold' and 'Israeli success' because it freed a few captives, with little attention paid to the destruction and lives shattered in the process. To this day, no one has been held accountable, and no real investigation has been opened. The Future: Uncertainty and Fear The survivor still wakes up to recurring nightmares, and the question of 'Will I survive this time?' haunts them. The situation in Gaza remains dire, with no safe place, constant surveillance, and repeated artillery shelling. Access to aid and medical supplies is limited, and the prices of basic goods have risen to unimaginable levels. The crisis continues to drain every aspect of daily life, leaving civilians under constant danger.

Eyewitness Accounts of the Night the Camp Was Hit On June 8, 2026, residents of a densely populated refugee camp in Gaza reported a sudden, high‑intensity bombardment. Survivors described hearing multiple explosions, followed by a wave of smoke and debris that engulfed the camp's narrow alleys. Many recounted being forced to flee with only the clothes on their backs, while others were trapped under collapsed structures for hours. Casualty Toll and Immediate Aftermath 274 people confirmed dead, including women and children. Hundreds more injured, overwhelming local medical facilities. Significant damage to shelters, water points, and humanitarian aid warehouses. Humanitarian Data: How the Numbers Compare The death toll of **274** places this raid among the deadliest single‑day incidents in Gaza since the conflict escalated in 2023. For context: Previous major strikes in 2024 averaged 150‑200 civilian deaths per incident. The cumulative civilian death count in Gaza for 2026 has now exceeded 5,000. Regional and International Repercussions The raid has intensified calls from the United Nations for an immediate ceasefire and an independent investigation into possible violations of international humanitarian law. Neighboring countries have condemned the attack, and several European capitals have announced emergency aid shipments to Gaza. Looking Ahead: Prospects for Accountability and Relief Human rights organisations are mobilising to document evidence, while diplomatic channels are pushing for a UN‑mandated fact‑finding mission. The scale of civilian loss may pressure Israeli leadership to reassess targeting protocols, but the path to a sustainable humanitarian pause remains uncertain.