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The U.S. military announced that, starting at 14:00 GMT on Monday, it will enforce a blockade of every Iranian port, a step taken after President Donald Trump ordered a naval closure of the Strait of Hormuz—the waterway through which roughly one‑fifth of global crude oil normally flows. The blockade comes on the heels of stalled peace negotiations in Islamabad, where talks between Washington and Tehran collapsed without an agreement despite a prior cease‑fire pledge. Trump’s escalation has already driven crude prices above $100 per barrel and unsettled Asian equity markets, with the Nikkei 225 down 0.84%, the Topix slipping 0.42% and South Korea’s Kospi falling 1.83%. Iran’s response is equally forceful. The Islamic Revolutionary Guard Corps warned that any vessel entering the strait would be deemed a breach of the cease‑fire and dealt with “harshly and decisively,” insisting it has “full control” and threatening a “deadly vortex” for any misstep. Navy chief Shahram Irani dismissed Trump’s threat as “ridiculous and funny,” while state television said Iranian forces are closely monitoring U.S. movements. Foreign Minister Abbas Araghchi lamented “maximalism, shifting goalposts, and blockade” that undermined a near‑final Islamabad memorandum, quoting, “Good will begets good will. Enmity begets enmity.” Parliament speaker Mohammad Bagher Ghalibaf pledged resistance and mocked U.S. gasoline prices, posting a map of Washington‑area pump prices and predicting nostalgia for $4‑$5 gas. U.S. Central Command clarified that the blockade will stop all vessels bound for or from Iran, while traffic to non‑Iranian ports will continue unhindered. Trump also warned that any ship that has paid an “illegal toll” to Iran will be intercepted on the high seas, and he publicly criticized Pope Leo XIV for urging an end to the conflict. In Lebanon, Israeli airstrikes have killed at least five people, bringing the country’s overall death toll to 2,055. Hezbollah retaliated with a rocket barrage aimed at northern Israeli towns, citing violations of a cease‑fire. The United Nations Interim Force in Lebanon (UNIFIL) reported that an Israeli tank rammed peace‑keeping vehicles twice in the south. Israel’s Prime Minister Benjamin Netanyahu visited troops on the Lebanese border, claiming that Hezbollah’s invasion threat has been neutralized, though he acknowledged that hostilities continue within the security zone. On the energy front, shipping through the Hormuz corridor has “immediately halted,” according to Lloyd’s List, with several vessels turning back after the blockade announcement, further tightening global oil supplies.

Oil prices experienced a significant surge following US President Donald Trump's announcement of a naval blockade on Iran. Brent crude, the international benchmark, rose more than 8 percent to top $103 a barrel on Sunday.The blockade, which was later clarified by US Central Command to only affect vessels traveling to and from Iran, is set to take effect on Monday at 10am Eastern Time (14:00 GMT). This move has heightened uncertainty in global financial markets, with major stock markets in Asia opening lower on Monday.The Strait of Hormuz, a critical conduit for about one-fifth of global oil and natural gas supplies, has been a focal point of tensions between the US and Iran. Despite a fragile truce between the two nations, only 17 vessels crossed the strait on Saturday, down from roughly 130 daily transits before the conflict.The blockade threat has stoked fears of supply disruptions, contributing to the rise in oil prices. This development comes after oil prices had fluctuated significantly in recent weeks, topping $119 last month before falling below $92 a barrel last week.Global markets are closely watching the situation, with US stock futures and Asian markets experiencing declines. Japan's benchmark Nikkei 225 fell 0.9 percent, while South Korea's KOSPI dropped more than 1 percent.

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.

International activists are preparing to set sail from northeastern Spain to the Gaza Strip in a massive 70-boat flotilla, aiming to break Israel's devastating naval blockade and deliver much-needed humanitarian aid.The initiative, dubbed the 'Global Resilience Flotilla,' boasts a significant increase in participation, with about 1,000 volunteers from 70 countries taking part in the effort. The vessels, departing from the port of Barcelona, are loaded with food, medicine, school bags, and stationery for Palestinian children.Organisers say the mission is being carried out in coordination with Palestinian civil society organisations, maritime security experts, and prominent international NGOs, including Greenpeace and Open Arms—a charity known for its Mediterranean rescue operations. The flotilla has also received increased backing from the Barcelona municipality.Pablo Castilla, a spokesperson for the flotilla, told reporters in Barcelona that the primary goal is to 'condemn international complicity in the genocide committed by Israel in Gaza, demand accountability, and open a humanitarian corridor by sea and land'.Castilla noted a declining international focus on Gaza due to the ongoing United States-Israel war on Iran and Israeli attacks on Lebanon. He warned that Israel is exploiting this geopolitical shift to tighten its siege, restrict aid, expand settlements, and accelerate the occupation of Palestinian territory.The Gaza Strip, under an Israeli blockade since 2007, has faced an unprecedented humanitarian and health crisis since Israel's genocidal war against Palestinians in Gaza, which began in October 2023 and has killed more than 72,000 Palestinians.The prolonged assault has also devastated infrastructure, including hospitals, and left approximately 1.5 million of the enclave's 2.4 million residents displaced and homeless, amid severe restrictions on fuel and medical supplies.Since 2010, all flotillas attempting to break the Gaza blockade have been intercepted or attacked by Israel in international waters.

Tehran – Iranian officials warned that the United States must increase pressure for any peace agreement while urging their supporters to keep the streets under control.Parliament speaker Mohammad Bagher Ghalibaf said the US delegation in Islamabad “failed to gain the trust of the Iranian delegation” during the marathon talks.US President Donald Trump announced an immediate naval blockade of the Strait of Hormuz and declared that US forces are “locked and loaded” to finish Iran at the “appropriate moment.”Iran hailed the delegation’s refusal to accept Washington’s core demands – ending nuclear enrichment and relinquishing control of the Strait – as a sign of defiant resolve.Judiciary chief Gholam‑Hossein Mohseni‑Ejei thanked the Islamabad team for “guarding the rights” of government supporters, including paramilitary forces that have been gathering in Tehran’s main squares for more than six weeks.State television aired an IRGC aerospace officer urging flag‑waving crowds not to worry, stating, “If the enemy does not understand, we will make them understand,” which was met with cheers demanding more missile and drone attacks.Iranian officials blamed Trump’s “excessive demands” for the talks’ failure, noting the Ministry of Foreign Affairs did not expect an agreement after a single day of negotiations.Hard‑line parliamentarians expressed satisfaction with the stalemate, viewing Iran as holding the upper hand. Deputy speaker Hamidreza Haji‑Babaei said only a UN Security Council resolution signalling US surrender would lift sanctions on Iran.Lawmaker Amir Hossein Sabeti of the Paydari faction thanked the negotiating team for standing by red lines and called for “resistance in the field against these evildoers.”The sudden announcement of a two‑week cease‑fire left pro‑state voices disappointed; local media reported the Iranian delegation numbered over 85 members, including state‑affiliated journalists and factional analysts.The talks confirmed that a diplomatic breakthrough was not imminent and hinted at further escalation, though not necessarily a return to full‑scale fighting.National security commission head Ebrahim Azizi dismissed Trump’s blockade threats as “excessive talk.”The IRGC warned it would meet any vessel passing the Strait of Hormuz with “full force” and rejected US claims that two warships had already transited the waterway.Russian President Vladimir Putin told Iranian President Masoud Pezeshkian he remains ready to facilitate a Middle‑East peace settlement.Pezeshkian, focused on domestic affairs, reaffirmed support for Supreme Leader Ayatollah Ali Khamenei and announced that schools and universities will continue online via a limited intranet.Iran’s economy continues to suffer from chronic inflation, rising unemployment and a near‑total internet shutdown, deepening public hardship.

President Donald Trump declared that the United States will commence a naval blockade of the strategic Strait of Hormuz in response to the breakdown of peace talks between Washington and Tehran held in Islamabad.In addition to the blockade, Trump warned that American forces could target Iran’s water‑treatment plants, power stations and bridges unless Tehran abandons its pursuit of a nuclear weapons capability.The announcement came after a 21‑hour round of direct negotiations between the two sides collapsed on Sunday morning, ending a brief cease‑fire that had been brokered by the United States, Israel and Iran.U.S. Vice‑President JD Vance, who led the American delegation, said Iran refused to renounce the possibility of developing nuclear weapons, while Iranian officials accused Washington of failing to earn their trust.Trump instructed the U.S. Navy to begin “blockading any and all ships trying to enter or leave the Strait of Hormuz” starting Monday at 10 a.m. ET (14:00 GMT). He also accused Iran of “extortion” for charging tolls to tankers and announced a de‑mining operation in the waterway’s central sector, although the exact number of mines remains unclear.The Iranian Revolutionary Guard warned that any warships enforcing the blockade would be deemed a breach of the cease‑fire and would be met with a strong response, insisting the strait remains under Iranian control.Two U.S. destroyers transited the strait on Saturday without incident, a move the Pentagon described as the start of a mine‑clearance mission, even as Iranian media claimed the vessels were threatened as they departed.Financial markets reacted sharply: U.S. crude oil jumped 8% to $104.24 per barrel and Brent crude rose 7% to $102.29, reflecting concerns that the blockade could disrupt the flow of roughly 100 tankers that have been paying up to $2 million each for passage.Vance reiterated that the United States seeks a clear, affirmative commitment from Iran not to pursue a nuclear weapon, describing it as the “core goal of the president.”Iranian parliament speaker Mohammad Bagher Ghalibaf argued that Tehran offered “constructive initiatives,” but U.S. demands were “excessive” and hindered an agreement, according to the semi‑official Tasnim news agency.Pakistani mediators urged both parties to avoid renewed hostilities and pledged to arrange fresh talks, emphasizing the importance of upholding the existing cease‑fire.In a televised interview, Trump warned that if a deal cannot be reached, the United States may resume bombing Iran, specifically targeting its water‑supply infrastructure, desalination plants and power generation facilities.Regional fallout continued: at least 11 people were killed in southern Lebanon amid a series of Israeli strikes, while Pope Francis called for an immediate cease‑fire, expressing solidarity with the Lebanese people.The broader conflict, now six weeks old, has claimed more than 3,000 lives in Iran, over 2,000 in Lebanon, dozens in Israel and several Gulf states, and has inflicted extensive damage on critical infrastructure across the Middle East.

US Vice‑President JD Vance addressed a podium in Pakistan, confirming that after a marathon 21‑hour negotiation no settlement had been secured to end the conflict with Iran. Meanwhile, President Donald Trump was in Miami watching a mixed‑martial‑arts fight, a stark contrast that underscored the administration’s focus on spectacle over substantive diplomacy. The breakdown was not accidental. Washington insists Iran must relinquish any capacity to develop a nuclear weapon, whereas Tehran maintains its right to a civilian nuclear programme and rejects the notion of a weapons agenda. The US “final and best offer” demanded a complete surrender of that capability, a condition more akin to imposing victory than fostering negotiation. Compounding the impasse, the United States sought unrestricted navigation through the Strait of Hormuz, a critical artery for global energy supplies. Iran, however, pressed for transit fees, lifted sanctions, unfrozen assets, reparations, and a broader regional cease‑fire. The divergent demands meant that a single round of talks could not bridge the gap, resulting in negotiations devoid of trust and a war without a clear resolution. Historical wisdom, echoed by Winston Churchill’s famous remark that "jaw‑jaw is better than war‑war", highlights the high cost of continued fighting. Ironically, the current US‑Iran dispute revolves around a nuclear programme that was once restrained by a deal the Trump administration later abrogated, and a maritime route that the same administration helped ignite by launching the conflict. The fragile cease‑fire’s survival now hinges not only on Washington and Tehran but also on Israel’s expanding offensive in southern Lebanon against Hezbollah, an operation that has drawn accusations of war crimes and threatens to widen the regional conflagration. Financial markets are unlikely to react positively to recent developments. American voters are already feeling the impact of surging fuel prices, and Trump’s consideration of a naval blockade of the Strait of Hormuz could exacerbate the situation. Disrupting a route that carries roughly one‑fifth of global oil would push prices higher, with ripple effects far beyond the Gulf. The current cease‑fire is set to expire in just over a week. While diplomatic talks have not formally ended, a stalemate persists and the logic of escalation is gaining traction. Iran appears unlikely to concede, opting instead to test US resolve at sea. Seasonal heat may limit a full‑scale ground offensive for now, but the risk of a shift toward naval confrontations, airstrikes, and proxy warfare looms, offering no winners—only further loss.

Israeli air strikes have resulted in the deaths of at least 14 people in southern Lebanon, sparking fears that the ongoing violence could jeopardize the fragile US-Iran ceasefire. The strikes have targeted various areas, including a government building in the city of Nabatieh, where 13 security personnel were killed.Lebanon's President Joseph Aoun condemned the attacks, stating that targeting state institutions would not deter Lebanon from defending its sovereignty. The death toll is expected to rise as civil defense teams continue to search for survivors in the rubble.The violence has prompted a response from Hezbollah, which has fired rockets into northern Israel. The group has stated that its attacks will continue until Israeli and American aggression against Lebanon ceases. Hezbollah also claimed to have targeted Israel's Ashdod naval base with missiles.The conflict has significant humanitarian implications, with the UN children's agency, UNICEF, warning of a devastating impact on children. The agency reported that 33 children have been killed and 153 injured in recent attacks, adding to a total of 600 children killed or injured in Lebanon since March 2.The situation remains volatile, with diplomatic efforts underway to broker a ceasefire. Israeli Prime Minister Benjamin Netanyahu has ordered direct negotiations with Lebanon, but the prospects for a peaceful resolution remain uncertain.