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The Lead Funerals will be held for Lebanese officers killed in an Israeli attack in southern Lebanon, as Beirut’s army chief headed to Pakistan on a surprise visit amid ongoing mediation efforts in the wider United States-Israel war on Iran. Funeral Plans for Lebanese Soldiers Killed by Israel The Lebanese soldiers will be laid to rest on Sunday, a day after the brigadier general, captain and soldier were killed in an Israeli strike on a military vehicle on the Khardali-Nabatieh road, in an incident the Israeli army said it was investigating. The Data Analysis More than 3,500 people have been killed in Lebanon since hostilities resumed on March 2. At least two people were killed and 22 wounded in an Israeli raid on the town of Saksakiyeh. The Impact Analysis A ceasefire agreed on April 17 was meant to halt the fighting between Israel and Hezbollah, but Israel has continued to carry out near-daily attacks, prompting retaliatory ones from the Lebanese group. The violence has taken a disproportionate toll on civilians in Lebanon. The Prediction Lebanese lawmaker Najat Aoun Saliba said dialogue was the only viable path given the imbalance of power between Israel and Lebanon’s armies. “The balance of power between the armies is not to be compared. Israel has a very strong army backed up by the United States. The Lebanese Armed Forces have been sidelined by a political will for 30 years, because they wanted to strengthen the presence of Hezbollah.”

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 Power of Football in RecoverySarah Rhind, a 42-year-old goalkeeper and Street Soccer charity coordinator, has a powerful message about how football saved her from heroin addiction. In her recently published autobiography, "Scars Under The Jersey," Rhind details her journey through addiction, recovery, and the transformative role football played in her life. "I can wholeheartedly say that without it I wouldn't be in the position that I'm in now – if I was even lucky enough to still be here," she states emphatically.From Participant to Coordinator: Football as LifelineWhat makes Rhind's story particularly striking is her journey from participant to coordinator at Street Soccer, a charity that provides free sessions for at-risk and socially disadvantaged people. Before working for the organization, Rhind was a participant who relied on the weekly sessions to stay clean. "There were times where I'd come through a really rough weekend, struggling with thoughts of using and relapsing but hadn't done it," she recalls. "There were many times where the reason was literally: 'If I use, I can't go to football on Tuesday.'"Mental Health and the Pitch: A Sanctuary from NoiseRhind describes football as a sanctuary from the "mental noise" that consumed her life. "My mind is 24/7 from the minute I wake up to the minute I go to sleep at night; it's 20 tabs open and they're all about different things," she explains. "When I'm on the pitch and playing football the focus is just on that, because that was most important. It's like a transition happens. I get my boots on and step on to the pitch and I find it is the only place that I am able to leave the mental noise."Breaking Barriers: Women's Football and InclusionNow representing Scotland at international events like the Homeless World Cup (2015) and playing in the Scottish top flight with Hamilton Academical, Rhind is passionate about creating opportunities for women in football. She notes that women of her age have "missed out so much" compared with younger generations benefiting from the growth of the women's game. "I hear all the time: 'I'm not fit enough, not strong enough, I can't play football,'" she says. "When did society become so about having to be really good at something that you can't just try it or to have fun with it?"The Healing Power of StorytellingWriting her autobiography was a cathartic experience for Rhind, who found the process to be "an incredible platform for healing." She particularly struggled with documenting moments of suicidal thoughts, noting that "it had taken me a couple of weeks to actually be able to write a sentence out about being suicidal." The act of writing, however, became therapeutic. "I just wrote it and I remember it so clearly: I just sat and looked at that sentence and realised what a powerful form of therapy that process had been," she reflects.A New Chapter: Continuing the JourneyFor Rhind, recovery is an ongoing process. "Life is hard and that's always going to be the case; things are going to keep happening," she acknowledges. "But, hopefully, I can keep building my toolbox of coping mechanisms for dealing with those things when they come, and keep talking." Through her work with Street Soccer and sharing her story, Rhind continues to help others find their path through darkness, using football as both a literal and metaphorical lifeline.

The Lead: Spain's Coaching Philosophy Finally Gains Recognition As Spain prepares for the World Cup, national team coach Luis de la Fuente reflects on the journey that took him from teaching in the Spanish federation's classrooms to leading his country to European Championship glory. The coach who never played for the senior national team has overseen a generation of Spanish football that has produced some of the world's most successful coaches and players. The Coaching Classroom: Where Spain's Football Leaders Are Born On the ground floor of the Spanish football federation's headquarters in Las Rozas are two classrooms covered with photos of everyone who has played for la selección. More than 800 men are there, but Luis de la Fuente's picture is missing—his international playing career only took him as far as the under-21s. This is where he taught; it is also, he says, where he learned, his pupils not alone in going on to big things. De la Fuente spent three years teaching at the federation from 2017, while also coaching Spain's under-19s and under-21s. He taught two subjects on the federation's Uefa pro licence coaching course: the evolution of football and team building. In his classes sat future coaching greats including Lionel Scaloni, Xabi Alonso, Xavi Hernández, and Raúl—names that would go on to shape football at the highest levels. The Global Impact of Spanish Coaches From Spain it was not only Fabián Ruiz, David Raya and Martín Zubimendi who were in Budapest recently but also the managers: Luis Enrique, De la Fuente's predecessor, and Mikel Arteta. The week before, Unai Emery lifted the Europa League. Pep Guardiola bade farewell as perhaps the most influential coach the Premier League has had. And Xabi Alonso has been appointed at Chelsea, Andoni Iraola at Liverpool. "This is a process that goes back a long time; at last it seems people are starting to appreciate it," De la Fuente says. "That appreciation should have happened ages ago. With trophies, it becomes more visible but the development, the way it is structured and conducted, the work done by coaching schools at regional and national federations, was always an example to everyone." The Philosophy of Teaching Football "It would be easy to now say Scaloni stood out but it is true that there were some who had something a bit different," De la Fuente reflects. "That restlessness, how they would challenge you: 'I don't see it.' Scaloni debated everything, argued. We're similar too, a parallel in our paths. He starts at the under-20s, then made his way into the senior squad and won it all. He had to, we both did: it was win, win, win, win, because if we hadn't..." Within six years teacher and pupil would be European and South American champions respectively. Those successes should have brought a class reunion at the Finalissima in Qatar but war forced postponement. "Two don't play if one doesn't want to; we were mad keen to play," De la Fuente says. "It was a pity. I don't think politics will be a problem this summer: football is something that can bring people together of all creeds, ideologies, races and religions." The Future: Spain's World Cup Ambitions "Who would have thought it?" De la Fuente asks, reflecting on his journey to the senior national team. His first big senior job came past 60, having worked in Spain's youth structure for a decade. Scaloni, 40 when thrust into the seniors, hadn't worked at a club. "Life provides these moments. And nothing was given to us for free. It's all through work, work and more work..." "In the end, sporting success is fleeting. But I remember my teachers... So when I had the chance to work at the RFEF [federation], I thought: it's my job to shape people." With Spain heading to the World Cup as one of the favorites, De la Fuente's philosophy of developing both players and coaches continues to bear fruit on the world stage.

The Lead The US-Israel war on Iran has completed 100 days, despite initial predictions by US President Donald Trump that it would end 'very fast'. A ceasefire agreed on April 8 has not held, with sporadic fire continuing and talks repeatedly collapsing. Humanitarian Impact At least 7,000 people have been killed, with 3,593 in Lebanon, 3,468 in Iran, and 29 in Gulf states. Additionally, 26 Israelis and 13 US soldiers have been killed. Over a million Lebanese have been displaced, and Israeli forces now occupy nearly a fifth of Lebanon. Economic Consequences The war has caused significant economic disruption. The Strait of Hormuz, through which one-fifth of global oil and gas flows, has seen a drastic reduction in ship traffic, from 100 daily to just 7. This has led to higher freight rates, longer voyage distances, and concerns over global oil stockpiles. Global Market Reactions Oil prices have almost doubled in the past three months, with Brent crude peaking at nearly $120 before settling around $100 per barrel. At least 146 countries have reported increases in petrol prices, with some countries seeing increases of over 90%. The global food supply chain has also been affected, with rising fertilizer and energy costs impacting food production and prices. Future Outlook Despite several rounds of talks, no deal has been reached. The war has contracted global GDP, raised inflation, and increased concerns about slower growth and potential recession. The ongoing conflict and its economic implications are likely to continue influencing global markets and geopolitics in the near future.

The Rise of Tech-Savvy Farmers in KenyaKericho County, Kenya – A typical Saturday morning starts before sunrise for Chepkorir Rotich, a farmer in Kiboito village in western Kenya's Kericho County. By then, Rotich has already milked her cows and sold the milk, fed her chickens, and headed back to pluck vegetables for orders already placed. Her work starts this way every day, and she does it with passion.When the 33-year-old mother of two left college more than a decade ago, she was excited and ready to join the formal employment sector and secure a full-time job."I thought I would be employed as a business administrator, but after looking for a job for too long, I accepted contract offers in three different companies," she says. "The highest paid me about $200 in a month. While living in Nairobi, that wasn't enough."From Job Seekers to Agricultural EntrepreneursA lack of white-collar jobs has kept young Kenyans like Rotich out of employment, leaving them to innovate ways to survive and earn a living. In doing so, many youths have resorted to agriculture and other fields, with many using digital as well as vocational skills to stay ahead of the game.Digital Transformation of Kenyan AgricultureRotich, for example, uses social media to market her produce and to learn how to practice agriculture using modern methods. Social media helps her share knowledge with young people who comprise a large portion of her nearly 50,000 followers. She also runs a YouTube channel where she shares her knowledge of farming.The Food and Agriculture Organization of the United Nations (FAO) reports that the average African farmer is 60 years old, something Rotich refutes, saying the presumed age of farmers has made many young people shun agriculture instead of embracing it as a way to earn a living going into the future."I think the reason they say that is because of access to land on which to do agriculture, which is mostly owned by older people," Rotich tells Al Jazeera. "In my case, I started farming in the compound of my rented house, and by the end of each month, my landlord owed me money after settling the rent because I sold him milk and vegetables. So, it's all about passion and consistency among the youth."Kiringai Kamau, a lecturer at the University of Nairobi with expertise in agricultural economics, agribusiness, and food systems, says young people should take up agriculture as full-time employment since they are the ones who can effectively understand and deploy technology."To do this, we have established the devolution agroecology and AI learning centre in Murang'a University, where we will be pushing to have the centre train the youth who will be going into agriculture to be able to link with the agricultural data ecosystem, deriving from the infrastructure that will be provided, and also giving information to the county and country, and any other professionals that may be interested in data coming there," he tells Al Jazeera.Derrick Ngigi, the technical head at Global Open Data for Agriculture and Nutrition (GODAN), says that while youth are embracing agriculture, technology also plays a role in providing them with opportunities."For example, content creation in agriculture brings a lot of opportunities, such as creating content around modern farming methods, which has been generating revenue for the youth," Ngigi says.AI Tools Revolutionizing Farming PracticesAbout five kilometres outside Kiboito, at Kaptoroi village, Geoffrey Kiprop is busy cleaning his cowshed after feeding his cattle for the early morning. The 32-year-old earned a bachelor's degree in information technology in 2017 but has never secured formal employment.Like Rotich, Kiprop has been surviving on contract work, such as jobs doing systems development and maintenance for schools. He says that the highest-paid contract was for 15,000 Kenyan shillings ($116). But now, he makes about 7,000 Kenyan shillings ($54) a day through farming.Kiprop also practices mixed farming, rearing cows for milk and chickens for eggs and meat, while also planting crops such as tea, coffee, capsicum, cabbage, and beans.He uses modern technologies to raise his crops and livestock and takes advantage of his IT training, which he utilises to ensure maximum profits.Examples of the tools he uses include the Plantix app, which he says helps detect crop disease and malnutrition using AI after he simply takes a photo of the crop and uploads it. The app also gives the farmer the weather forecast and the best crop practices to perform in line with current weather conditions."My favourite is the Virtual Agronomist. This is an AI-enabled platform where I use Google Maps to capture the coordinates of my crop field and then specify the types of crops I am growing," Kiprop explains. "In return, the Virtual Agronomist will enable me to know the size of the plots under farming. It also generates a nutrient plan by sampling the soil in the farm, guiding me in what the soil is missing in terms of nutrients and the exact amount to add," he tells Al Jazeera.For his cows, Kiprop also uses an AI tool to manage their health and production."Also, I use the Digicow app, which assists the farmer in managing dairy farm practices by tracking all the day-to-day activities in the dairy farm, which includes recording the amount of milk sold and used by the farmer, dairy inputs like feed and health practices, thus allowing the farmer to know if he's making a profit or not," Kiprop says.Financial Benefits of Tech-Enhanced FarmingBoth Rotich and Kiprop demonstrate that farming with AI tools can be more financially rewarding than traditional employment paths for educated young Kenyans. While contract work offered Rotich a maximum of $200 per month and Kiprop's highest contract paid 15,000 Kenyan shillings ($116), Kiprop now earns approximately 7,000 Kenyan shillings ($54) daily through his tech-enhanced farming operations.The Future of Agriculture in KenyaBoth Rotich and Kiprop agree on one thing: agriculture also comes with its own challenges, and one has to be deeply passionate and consistent to make something out of it."Consistency is key," says Rotich. "It's something that many young people lack, and they quit very early before they can break even and realise profits. One has to do things many times to be able to finally get it and learn from the mistakes made before."

The Perfect World Cup Send-offIn a last outing before a first World Cup appearance in 28 years, Scotland dismantled Bolivia with a commanding 4-0 victory. The performance, featuring goals from Lawrence Shankland, Scott McTominay and a brace from Ché Adams, suddenly worries over a potentially tournament defining joust with Haiti next weekend evaporated. If Steve Clarke's men are this ruthless and efficient when the proper stuff starts, they have a serious chance of emerging from the group phase for the first time in Scotland's international history.First Half DominationIn sweltering New Jersey heat, the Scots made a fine start. Andy Robertson completed a one-two with Ryan Christie before chipping a cross to the back post. The Bolivia goalkeeper, Guillermo Viscarra, should have done better with Shankland's header but Scotland's No 20 had no cause to care. This marked his third goal in two games. Adams, who was lively, tested Viscarra before firing a shot only narrowly wide.A second goal was soon forthcoming anyway. Shankland nudged the ball back to McTominay, whose low drive from 18 yards beat the highly unconvincing Viscarra. Scotland's third was a fine goal too, with Aaron Hickey feeding the marauding Ben Gannon-Doak, who put in a perfect cross to the feet of Adams. The Torino man could not miss.Scotland's Attacking ProwessScotland were to match a first-half scoreline margin feat first achieved against England in 1878 and, until now, last versus the Faroe Islands 20 years ago. Gannon-Doak, staking a huge claim for a World Cup start, drove from midfield. The Bournemouth man smoothly found Adams, who beat Viscarra at the second attempt. The Scots were 4-0 to the good at the break. This also meant they had scored a quartet of goals in successive games.Unlike Ally MacLeod's infamous hubris of 1978, Steve Clarke has never been prone to bold or rash predictions. Excitement will be left to everyone else. Who can reasonably deny them that? This friendly, in theory an exercise in box ticking, instead gave reasons for huge Scottish confidence. Scotland will remember their first ever game against Bolivia with great fondness.Tactical ConsiderationsShankland can now be considered a guaranteed Scotland starter for the Haiti clash. He joins Robertson, Hickey, McTominay and John McGinn in that bracket. The likelihood is that Clarke would be keen to deploy Adams in attack alongside Shankland, but the impact made by Lyndon Dykes during last weekend's win over Curaçao inserted doubt to that scenario.Clarke has tough calls over who starts in goal and at centre half in Boston. Christie excelled against Bolivia, which should enhance his Haiti prospects. Scott McKenna, Dykes and Nathan Patterson were the only outfield Scots not to feature at all. This was now a game they only had to manage adequately, including without the injury distress that ended Billy Gilmour's World Cup dream seven days earlier.World Cup OutlookBolivia are ranked above Haiti, whom Scotland will surely have to defeat for the opportunity to reach the World Cup's last 32. The performance against Bolivia suggests Clarke's team has the quality to achieve this objective. While it is fair to point towards limited opposition, that is precisely what Scotland will face in game one of Group C.Foot was removed from gas in the second period but there was still something hugely admirable about Scotland's approach. Now for the key question; will it be alright on the night? This time, there was no sour note. Clarke will have no desire to summon his inner or outer MacLeod. Nonetheless, Scotland head to the World Cup with collective spring in step.

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.

The Lead: Introduction to Chess PuzzlesEarlier today I set these four chess puzzles. Here they are again with solutions.The Event Details: Analysis of Puzzle Solutions1. OdditiesA chess tournament is taking place with several participants. Not every player played against every other player, and some players may have played many more games than others.Some of the players played an odd number of games. Prove that the number of such players must be even.Solution:The total number of games played by everyone must be even, since every game has two players. When you add up odd and even numbers to make an even number, there must be an even number of odd ones, because if you have an odd number of odd numbers the total will be odd.2. L of a tripA knight in chess moves in an "L" pattern - two squares in one direction and one square in a perpendicular direction. Starting in the bottom right corner of a regular 8×8 chessboard, is it possible for a knight to visit every square on the chessboard exactly once and end up in the top left corner?Solution: No.A knight move goes from a white to a black square, or vice versa. To visit every square on the board exactly once requires 63 moves. If you start on white, you will end on black, or vice versa. You cannot start on one corner and end on the opposite corner, since opposite corners of a chess board are the same colour.3. Pawn returnTake a chessboard with the standard initial setup of pieces. What's the fewest number of moves needed for a pawn to leave its initial place, get promoted/queened, and then return to its original position?(Assuming the two players are collaborating to achieve this, not that the one is scuppering the other).Solution: 6Here's one way. The pawn begins on B2. (second column, second row.)White: B2-4. Pawn moves two in knight column.Black: A7-5. Pawn moves two in adjacent rook column.White: B4-A5. Pawn takes pawn.Black: B7-6. Pawn moves one in knight columnWhite: A5-B6. Pawn takes pawnBlack: B8 – A6. Knight moves out of way.For the next three moves, white's pawn advances one by one in the B column, queens and then returns to B2 in the sixth move.4. Four knightsShow how to swap the two pairs of knights on the following strangely-shaped grid.The knights make one move at a time. You're trying to get the black nights to where the white knights are, and the white knights to where the black knights are.If you try to solve this problem using knights on a physical grid, you will get very confused. Try to think abstractly. With one simple(ish) insight, the problem is quickly solvable.Solution:The positions that the knights can move to are very constrained. Here are all possible moves and positions;This looks like a mess! However, if we untangle it, we can see the pattern. If we number boxes from the top row, and from left to right, so the white knights are on positions 1 and 5, and the black knights on 7 and 9, the board now looks like this:To exchange the positions of the knights is now a train shunting problem.Move the black knights to 8 and 6Move the white knight at 5 into the '"side track"' at 9Move the black knights back to 5 and 7.Move the white knight at 9 to 3Move the black knights back to 6 and 8Tuck away the white knight at 1 to square 9Move the black knights to 1 and 5, which is where we want them.Finally, move the white knight at 3 to 7, and we're done.The Mathematical Principles: Logic and Problem SolvingThese chess puzzles demonstrate fundamental mathematical principles including parity (odd and even numbers), graph theory (knight's tours), and optimization (minimum moves). The solutions require abstract thinking and pattern recognition, skills that are essential in both mathematics and chess strategy.The Impact on Problem-Solving: Developing Critical ThinkingChess puzzles like these help develop critical thinking skills that extend beyond the chessboard. They teach players to think several moves ahead, recognize patterns, and approach problems from multiple angles. These cognitive skills are valuable in academic pursuits, professional challenges, and everyday decision-making.Future of Chess Puzzles: Digital and Educational ApplicationsAs technology advances, chess puzzles continue to evolve with digital platforms offering interactive experiences and adaptive difficulty levels. Educational institutions increasingly recognize the value of chess in developing mathematical and logical reasoning skills. Organizations like We Solve Problems are expanding their reach, offering free math circles and chess programs to students across multiple cities, fostering the next generation of problem solvers.