• Updates from the women’s singles tennis on Rod Laver Arena

• Polish No 2 seed takes on Kazakhstan’s No 5 in Melbourne

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Elena Rybakina* (5) 3-2 Iga Swiatek (2) The duo exchange points as the game moves to 30-30, before a backhand dragged wide by Swiatek gives the opening to secure the hold Rybakina. After a brief baseline exchange, Swiatek is sent deep and forced into a forehand that looks to go just high and wide, giving the hold to the fifth seed.

Elena Rybakina (5) 2-2 Iga Swiatek* (2) A more straightforward, but not altogether simple, hold for Swiatek.

CBS announced in July that Late Show would end in May, more than 30 years after 1993 debut under David Letterman

The final episode of The Late Show With Stephen Colbert will air on 21 May, the host has announced.

Colbert, who has hosted the show since 2015, revealed the date on Monday during a taping of NBC’s Late Night With Seth Meyers to air on Tuesday night. Colbert will appear on Meyers’s show as a guest.

Planet closer to destruction as Russia, China and US become more aggressive and nationalistic, says advocacy group

Earth is closer than it has ever been to destruction as Russia, China, the US and other countries become “increasingly aggressive, adversarial, and nationalistic”, a science-oriented advocacy group said on Tuesday as it advanced its Doomsday Clock to 85 seconds until midnight.

The Bulletin of the Atomic Scientist members had an initial demonstration on Friday and then announced their results on Tuesday.

Joël Guerriau sentenced to four years in prison after spiking lawmaker’s champagne with ecstasy

A French court has found a former senator guilty of drugging a female lawmaker with ecstasy with intent to sexually assault her.

Joël Guerriau, 68, was sentenced to four years in prison on Tuesday, of which 18 months must be behind bars.

In the UK, Rape Crisis offers support for rape and sexual abuse on 0808 802 9999 in England and Wales, 0808 801 0302 in Scotland, or 0800 0246 991 in Northern Ireland. In the US, Rainn offers support on 800-656-4673. In Australia, support is available at 1800Respect (1800 737 732). Other international helplines can be found at ibiblio.org/rcip/internl.html

Study also says almost half have a mental health issue such as anxiety or depression

• How bad is maternal health in Europe, and how can we fix it?

Seven out of 10 mothers in the UK feel overloaded and almost half have a mental health issue such as anxiety or depression, new research has revealed.

The survey of mothers’ experiences in 12 European countries also found that most of those in Britain still do the majority of household tasks and caregiving work alone, and that the UK was among the worst for motherhood disadvantaging a woman’s career.

71% of UK mothers feel overloaded – 4% more than the 67% European average

47% of UK mothers suffer from mental health issues, including burnout, compared with 50% in Europe as a whole

31% of UK respondents felt motherhood had a negative effect on their career, higher than the 27% average, with Ireland the highest on 36%

Manchester toddler Jude Owens becomes youngest person to perform bank shot and double pot just weeks apart

A two-year-old has become the holder of two Guinness World Records by becoming the youngest person to perform a pair of trick shots in snooker.

Manchester toddler Jude Owens successfully performed a pool bank shot at two years and 302 days old on 12 October last year.

A ‘massive smack’ of lion’s mane jellyfish has appeared across Port Phillip Bay, but experts say fears of a ‘jellygeddon’ are overblown

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Swimmers have been advised to steer clear if they see red jellies in the water after a gelatinous horde descended on Melbourne beaches.

Thousands of lion’s mane jellyfish have washed into the shallows and on to the sand across Port Phillip Bay, from Altona in the west to Blairgowrie on the Mornington Peninsula.

Vow to bring ‘stability and clarity’ to the UK’s approach to Beijing on first visit by a British prime minister in eight years will be sorely tested

Keir Starmer has travelled to China with a vow to bring “stability and clarity” to the UK’s approach to Beijing after years of what he described as “inconsistency” under the Tories, but a series of issues may get in the way of his efforts to improve relations with the economic powerhouse.

• 36-year-old will replace fired Sean McDermott

• Brady will become head coach for first time

The Buffalo Bills stayed in-house by promoting offensive coordinator Joe Brady as their new head coach on Tuesday on a five-year deal.

The 36-year-old just completed his fourth season in Buffalo and his second full season as coordinator. He previously served as quarterbacks coach before taking over the offense after Ken Dorsey was fired midway through the 2023 season.

Tariffs cut to zero for many industrial products, including iron and steel, plastics, chemicals and pharmaceuticals

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India and the EU have finalised a landmark free trade agreement, which the European Commission president, Ursula von der Leyen, hailed as the “mother of all deals”.

The agreement comes after almost two decades of on-off negotiations between India and the EU, which vastly accelerated in the past six months and were finally concluded late on Monday night.

The singer-songwriter has donated access to his music archive to ‘ease the unwarranted stress and threats’ Greenlanders have experienced from the US government

Neil Young has donated a year’s worth of access to his music and documentary archive to the people of Greenland after the territory’s future became the subject of a fraught dispute with the US.

“I hope my music and music films will ease some of the unwarranted stress and threats you are experiencing from our unpopular and hopefully temporary government,” Young wrote in a statement on his website, Neil Young Archives, which offers comprehensive access to the 80-year-old songwriter’s recorded and live catalogues and other output.

Official who said Alex Pretti wanted to ‘massacre’ agents relegated to bench as White House appears to change tack

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Critics have called him a would-be Napoleon and mocked his “Nazi” aesthetic, but with Donald Trump’s anti-immigrant surge into Minneapolis, Gregory Bovino seemed to have found the political moment he had long been seeking.

Bovino, 55, a senior US border patrol official, initially rose to prominence as the figurehead of immigration crackdowns in Los Angeles, Chicago and other cities.

Texas judge says Liam Ramos and his father cannot be removed as litigation challenging their detention proceeds

A federal judge ruled on Tuesday that a five-year-old Minnesota boy and his father cannot be immediately deported, one week after their arrest sparked international outrage.

A Texas-based judge issued an order saying Liam Ramos, the preschooler, and his father, Adrian Conejo Arias, cannot be removed or transferred out of the judicial district where they are being held while the litigation challenging their detention proceeds.

Filing by New Mexico’s attorney general includes Meta staff emails objecting to AI companion policy

Mark Zuckerberg, Meta’s chief executive, approved allowing minors to access artificial intelligence chatbot companions that safety staffers warned were capable of sexual interactions, according to internal Meta documents filed in a New Mexico state court case and made public on Monday.

The lawsuit – brought by the state’s attorney general, Raul Torrez, and scheduled for trial next month – alleges Meta “failed to stem the tide of damaging sexual material and sexual propositions delivered to children” on Facebook and Instagram.

PM promises ‘stability and clarity’ in approach on first visit to Beijing by UK leader in eight years

• ‘Very low bar’: analysts say Starmer faces slim pickings in China

Keir Starmer has said the UK government will remain “clear-eyed and realistic” on the national security threat posed by China as he travelled to Beijing in an effort to improve relations with the economic powerhouse.

The prime minister promised “stability and clarity” in his approach to Beijing after years of what he described as “inconsistency” under the Tories, as western powers turn to China in their search for economic stability amid concerns the US may no longer be a reliable partner.

Attack in Kharkiv region was denounced as terrorism by Volodymyr Zelenskyy, who said it undermined ‘efforts to end the war’

A Russian drone strike on a passenger train in north-eastern Ukraine has killed five people, prosecutors said, an attack denounced as terrorism by president Volodymyr Zelenskyy.

Prosecutors said fragments of five bodies had been found at the scene of the strike on the train, which occurred on Tuesday near a village in Ukraine’s Kharkiv region.

Matthew Goodwin, who is standing in Gorton and Denton, said UK-born people from minority ethnic backgrounds were not always British

The Reform UK candidate in the Gorton and Denton byelection has refused to disown his claim that UK-born people from minority ethnic backgrounds are not necessarily British.

Matthew Goodwin, a hard-right activist, was presented on Tuesday as the party’s candidate in the demographically diverse seat in south-east Manchester.

Some clubs have been dismayed at the built-in advantages afforded to Arsenal in the inaugural edition of Fifa’s women’s club competition

There are growing concerns over the integrity and fairness of the Fifa Women’s Champions Cup, with Arsenal viewed as having a significant financial and logistical advantage over fellow competitors Gotham FC, AS Far and Corinthians due to the competition being played in London and the final hosted at Arsenal’s Emirates Stadium.

The Guardian understands that while there is widespread support for a global club competition in women’s football and the announcement of the record-breaking £1.7m / $2.4m prize pot for the tournament is very welcome, clubs have been frustrated by the timing and other details of the inaugural edition, with some feeling that not enough is being done by Fifa to address the significant advantage afforded to Arsenal.

Trump defends homeland security secretary but Hakeem Jeffries says: ‘We can do this the easy way or the hard way’

• US politics live – latest updates

Top House Democrats on Tuesday told Donald Trump to fire Kristi Noem or they would launch impeachment proceedings against the homeland security secretary, in response to the weekend killing of Alex Pretti in Minneapolis.

The ultimatum came after a majority of the House Democratic caucus signed on to articles of impeachment introduced earlier in the month in response to the shooting death of Renee Good, who, like Pretti, was a US citizen killed by federal agents during the increasingly violent immigration enforcement operation in Minnesota’s largest city.

First-of-its kind suit filed by civil rights attorneys on behalf of families centers on 14 October strike in Caribbean Sea that killed six

Civil rights attorneys filed a federal lawsuit against the United States government on Tuesday on behalf of the families of two men from a small fishing village in Trinidad who were killed in a US military airstrike on a small boat in the Caribbean Sea on 14 October.

The lawsuit, shared in advance with the Guardian, says that Chad Joseph, 26, and Rishi Samaroo, 41, both of Las Cuevas, Trinidad, were returning to Trinidad from Venezuela when they and four other people were killed in the strike. It was the fifth attack announced by the White House under Donald Trump’s campaign against the small go-fast boats the administration claims are connected to cartels and gangs.

• Root hails captain after third ODI win against Sri Lanka

• Brook imitates move of wrestler after making century

The wrestler “Stone Cold” Steve Austin was the surprising inspiration for Harry Brook’s century celebration as the England white-ball captain led his side to a one-day international series victory against Sri Lanka with a thrilling, unbeaten 136.

Brook, who was involved in a clash with a nightclub bouncer on the tour of New Zealand earlier this winter, took his gloves off upon reaching his hundred and imitated Austin’s move of bashing beer cans together in the ring before drinking them.

In her first town hall, Weiss expressed some regret over her decision to pull 60 Minutes segment at the last minute

During her first address to CBS News employees as editor in chief, Bari Weiss acknowledged that there had been “a lot of noise” about her tumultuous tenure and said that some staffers might decide they don’t support her or want to continue working at the company.

“I just want to start by saying: I get it. And I get why, in the face of all this tumult and noise, you might feel uncertain or skeptical about me and about what I’m aiming to do here,” Weiss said on Tuesday morning, according to an audio recording of her comments obtained by the Guardian.

Company cites impact of mandatory age checks introduced in summer 2025 under the Online Safety Act

Pornhub is to stop new users accessing its site in the UK from next week, citing the impact of mandatory age checks that were introduced last summer under the Online Safety Act.

The pornography website, which is one of the most visited in the world, announced that from 2 February only users who have already verified their age will retain access through their existing accounts. The change also affects YouPorn and RedTube, explicit websites operated by the same Cyprus-based company, Aylo.

Exercises described by President Trump as an ‘armada’ to be led by the USS Abraham Lincoln amid standoff

The US has announced plans to hold multi-day military exercises in the Middle East as it deploys what Donald Trump has called an “armada” led by the USS Abraham Lincoln to the region as part of a tense standoff with Iran.

The display of US air power was announced as the White House has suggested it could launch new strikes on Iran after the government’s crackdown on pro-democracy protesters that has left thousands dead and many more in detention with their fates uncertain.