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Madonna has settled her bitter custody fight over Rocco with ex-hubby Guy Ritchie ... TMZ has learned.

According to court docs, the exes were due in court Wednesday but hours before informed the judge they had resolved their differences.

As we reported, Madonna and Guy were at each other's throats over where Rocco would live. The 16-year-old bailed on Madonna's tour last December and began living with Guy in London. Madonna claimed Guy has poisoned her son against her.

The singer and Guy haven't gotten along for years, and fought constantly over child-rearing issues. She was the disciplinarian and she felt Guy was way too permissive.

It seemed they worked things out months ago. Madonna spent time with Rocco in London and he lived with her during part of the summer. He even partied with mom in Cuba a few weeks back for her birthday.

As for the terms of the settlement ... Guy's attorney told AP, Rocco will go back to London for school. Madonna will, no doubt continue to see her son frequently.

Halle Berry and Olivier Martinez raced to the courthouse last year, trying to beat each other to the punch in filing divorce papers, yet a year later they are poised to dismiss the case and stay married.

We found a legal doc in which the clerk in divorce court sent a notice to both Halle and Olivier, saying they've been asleep at the wheel and done nothing to make the divorce final. The clerk issued an ultimatum ... either do something or the case will be dismissed.

We've spoken with multiple sources, on both Halle and Olivier's side, and they say the same thing. Neither is in a rush to make the divorce final, and they're fine with staying married.

As for why ... we're told Halle isn't convinced she wants a divorce. We're told she still thinks Olivier might change, especially in the anger management department, and if he does she thinks the marriage could work.

Olivier's clearly had anger problems ... the last straw was when he pushed an LAX employee with a baby car seat and got in trouble with the law.

There are other reasons why both Olivier and Halle aren't going through with the divorce. We're told they're getting along great and both are actively involved in parenting both 3-year-old Maceo and 8-year-old Nahla. Although Olivier isn't Nahla's dad, he's still actively involved in her life.

And there's another reason. Halle -- who just turned 50 -- isn't crazy about getting a third divorce. She doesn't think it's good for her, or her kids.

So, we're told the divorce will probably just go away. For now, they're just friends and good parents, but who knows.

Boris Kodjoe has some fashion advice for President Obama -- bag the baggy tracksuit!!!

We got Boris, a former model, at LAX Tuesday and asked him about the 2009 pic of Obama that's going viral with some unforgiving memes.

Boris tried like hell to give POTUS the benefit of the doubt, and he has an easy system for Barack to avoid another fashion faux pas in the future.

Kylie Jenner has a lot of nerve threatening a company that will freeze off your fat ... just because the model happens to vaguely resemble her ... so claims the company.

Dr. FatOff is indignant after reading our story over the weekend ... that Kylie is contemplating legal action against the company for deceiving prospective patients into believing she's endorsing him.

Dr. FatOff's lawyer fired off a scathing letter to Kylie's legal eagle, informing him the model is none other than the daughter of one of the company's managers ... and is nothing like Jenner.

The letter says the model, Cassandra, is primarily Latina and Indian. It goes on to say Cassandra, an aspiring model and singer, was hired for her own look and not because of some vague resemblance.

The letter tells Kylie and company to pound sand. Ed Meyer, the rep for Dr. FatOff, tells us the billboard is staying up.

Ann Coulter should be kissing Comedy Central's collective ass for the way she was "edited" on the 'Rob Lowe Roast' ... according to Jeff Ross, who says it could've been much worse for her.

We got The Roastmaster General himself in NYC, and you can tell he has some serious mixed feelings about having had Ann on the dais -- after she came on "TMZ Live" and accused producers of editing her to make seem like she bombed.

But Jeff does say he'd have her back for another roast, but only for one specific person.

Ashley Graham and Bella Hadid strutted their stuff Tuesday night ... and they brought different assets to the table.

The models were at London's Tate Modern for the GQ Men of Year Awards 2016, and while Bella is certainly a babe ... Ashley clearly has more curve appeal.

Each girl is beautiful, and there's no point in arguing. But just for the sake of discussion, let's just ask ...

Kanye West would probably agree he's bigger than the Pope -- only now he can actually peg that belief to hard numbers ... in merchandise sales.

Sources close to Mr. West tell us he set a record at his Madison Square Garden show Monday night, where he hawked $780,000 in Yeezy merch ... beating Pope Francis' previous record by $240k.

Pope Francis sold $540,000 in Pope-laced gear a year ago at the same venue, but the Saint Pablo Tour crowd proved more fast and loose with their wallets.

Both guys had stuff with their faces all over it ... but we're guessing Francis' Rosaries don't hold a candle to Saint Pablo swag.

Ted Cruz railed on Colin Kaepernick and while he was at it BLASTED President Obama.

We caught up with the senator at Reagan National Airport and asked him about Kaepernick's stand to kneel.

Check out the vid ... Ted wasn't having it. He unloaded on the 49ers QB, calling him rich and spoiled. And in true Republican fashion ... he saved some smack for the prez.

#TedGonnaTed

Jerry Heller spent his final moments listening to his crowning achievement in life -- Eazy-E from N.W.A.

We're told Jerry's nephew, Terry, raced to the hospital Friday when he got word his uncle had been in a bad car accident. Terry knew it was bad, so he came armed with Eazy-E songs -- including "Eazy-Duz-It," "We Want Eazy," "Still Talkin'" and "Boyz-N-the-Hood" -- and played them for Jerry in the E.R.

TMZ broke the story ... Heller's lawyer claims Jerry was so distraught by the way he was portrayed in "Straight Outta Compton" it contributed to his death.

Terry tells us his uncle would want Dre, Ice Cube and the rest of 'em to show for his funeral.

Daisy Lea proved once again she's very, very flexible ... beyond any stretch of the imagination.

We got the former Playboy Playmate out in Malibu, where she showed off just how many positions she can pull off ... which is a lot.

Jeremy Renner has settled yet another squabble with his ex-wife ... this time over child support.

Jeremy and Sonni Pacheco have been at war since she filed for divorce in December 2014 after being married for only 10 months.

The latest beef -- Sonni claimed Jeremy was behind in support payments for 3-year-old Ava. They agreed Jeremy would pay around $16k for support and another $24k for her lawyer and accountant.

She's made numerous allegations against Jeremy, claiming he was an unsafe dad because he had guns in the house, despite the fact that he had the guns while they were married and she had no problem with them.

She also griped that Jeremy was posting pics of the kid on social media.

Britney Spears is ending her own 7 years war with Sam Lutfi ... the ex-manager who accused her of rampant drug abuse and slandering his name -- the case has settled.

Lutfi and Spears reached the settlement agreement late last week ... according to docs obtained by TMZ. Sources familiar with the situation tell us ... Britney paid Lutfi "in the low 6 figures," but less than the estimated $500,000 in legal fees it would have cost her to defend the lawsuit.

Lutfi filed the defamation case against Britney and her family back in 2009, claiming the entire Spears clan was bad-mouthing him and blamed him for her downfall ... after she was hospitalized in 2008. Lutfi claimed they were outta line because the real problem was Britney's drug abuse, which he tried to stop.

A judge tossed his case in 2012, but Lutfi appealed and got a second bite of the apple. A trial was set to begin in L.A. next month.

Monaco's GDP just skyrocketed even higher ... 'cause a bunch of super rich dudes just descended upon the exotic getaway for Magic and Cookie Johnson's 25th wedding anniversary bash.

It went down at the Yacht Club de Monaco where stars like LL Cool J, Smokey Robinson, Steve Harvey, Biz Markie, Cedric the Entertainer and Pat Riley turnt up to celebrate the couples' 25th.

Of course, the whole fam was there including EJ (who slayed) ... and it looked like a good time was had by all.

Usain Bolt ain't THAT fast ... he is NOT racing down the aisle to get married -- despite a photo going viral -- TMZ Sports has learned.

The pic shows Usain and Kasi Bennett in Bora Bora -- freshly lei'd -- with a Snapchat caption, "She said yes." Well, that's only half true.