WASHINGTON (AP) — The Latest on the 2016 presidential race as Republicans look back on South Carolina's primary and ahead to Nevada's caucuses on Tuesday and Democrats move past their Nevada contest and await a South Carolina faceoff on Saturday (all times local):

12:01 a.m.

Marco Rubio has received an endorsement for the Republican presidential nomination from North Carolina Sen. Thom Tillis as Rubio seeks to further consolidate support after a second-place finish in South Carolina and Jeb Bush's departure from the field.

Tillis' backing comes three weeks before North Carolina holds its own primary on the same day as four other states, including Rubio's home state of Florida. North Carolina is the 9th largest state by population, and its general election voters narrowly chose Mitt Romney in 2012 and Barack Obama in 2008.

Tillis said in a statement Monday that Rubio "has the unique capability of drawing new people into the party, which is critically important in a swing state like North Carolina."

Tillis and Rubio are first-term senators and former state House speakers.

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7:00 p.m.

Vermont Sen. Bernie Sanders is rallying more than 5,000 people in Greenville, South Carolina, telling supporters that "South Carolina has the opportunity to make American history."

Sanders faces Hillary Clinton in next week's Democratic primary and polls show him trailing the former secretary of state, senator and first lady.

Clinton defeated Sanders in Saturday's Nevada caucuses but Sanders says, "This is a campaign that has the momentum." Sanders says if he wins the Democratic nomination, his campaign will be able to defeat Republican business mogul Donald Trump.

Sanders was introduced Sunday by actor Danny Glover, who asked the crowd, "Don't you feel the Bern?"

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6:50 p.m.

Marco Rubio is excited for "the Vegas caucus."

The Republican presidential contender is on his way to Las Vegas after making Sunday campaign stops in Tennessee and Arkansas. He'll finish his day with a rally in Nevada, which hosts its presidential caucuses on Tuesday.

"The Vegas caucus is on Tuesday," Rubio told supporters during a late-afternoon rally in Little Rock, Arkansas.

He added, "When it comes to our campaign, what happens in Vegas is not staying in Vegas."

The contest is a homecoming of sorts for Rubio, who spent part of his childhood living in Nevada. He appears to be trying to lower expectations.

Rubio won't be in Nevada when the winner is announced on Tuesday. He's scheduled to campaign in the state Sunday night through Tuesday morning before heading to Minnesota and Michigan.

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6:00 p.m.

A protester at a Donald Trump rally in Atlanta, Georgia cut the spotlights Sunday, prompting a surreal scene in which Trump led his supporters in a chant of "Turn off the lights!"

Lighting director Bob Hunter told The Associated Press that he stepped away from his booth near the front of the stage for a quick bathroom break.

He returned to a chaotic scene with shouts in his headset letting him know the lights were off. He said people in the area told him a protester had reached over and pulled a wire.

Hunter quickly turned them back up — but it turned out that Trump actually liked the darker stage, without bright spotlights in his eyes.

"They're too bright, turn them off," he shouted, before leading his supporters in a chant of: "Turn off the lights!"

Hunter quickly obliged.

"I was trying not to be that guy," he said with a sheepish laugh after the rally. "You're making me that guy."

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5:00 p.m.

Republican presidential candidate Donald Trump is basking in his South Carolina victory at a rally in Georgia.

"We're just doing one after another," Trump tells thousands of people gathered in a downtown Atlanta convention center.

Trump is holding his first event since winning all 50 of South Carolina's delegates, beating already high expectations and cementing his status as the Republican front-runner. Georgia is one of the states that votes on Super Tuesday March 1.

"Such a beautiful victory, such a conclusive victory," he says of South Carolina, boasting of winning every congressional district and picking up every delegate.

Trump will be heading to Nevada next. The state holds the next election on the GOP calendar.

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4:45 p.m.

Donald Trump wants the lights off, or at least low. And if they're on too brightly, he's not paying the rent of his campaign rally venue.

That's how Trump turned an apparent lighting malfunction at a speech in Atlanta into an example of negotiation, one of the talents he says he'd bring to the presidency.

While he was speaking, the lights, which can be hot, went out. Then some came back on and he said he liked that better.

He said the bright lights "were brutal," joked that they came from "the dishonest press," and instructed the stage crew to keep them "off" — low, really — or "we won't pay the rent."

"That's the way we have to negotiate for our country," Trump added.

If the lights keep turning on during his speech at the cavernous Georgia World Congress Center?

Trump says that's an easy answer. "We say, 'We're not paying, the lights didn't work.' It's is ridiculous, we will not pay the rent. And we say, bye-bye."

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4:35 p.m.

Donald Trump's unorthodox bid to win the Republican presidential nomination has some distinctly traditional trappings: offices and employees across the country.

Trump has long been laying the groundwork for more victories in March, when two dozen states go to the polls, new campaign finance reports show. He won New Hampshire and South Carolina, two of the first states to vote.

In January, Trump's campaign had roughly 100 people on its payroll and a scattershot of field consultants and offices, which gives him a head start on connecting with voters as the primary calendar intensifies.

He is well ahead of his Republican rivals in planning ahead, the fundraising reports show. Candidates Marco Rubio and Ted Cruz appeared to have had few offices and staff in March states as of January.

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3:25 p.m.

Marco Rubio is evoking immigrants and the nation's history with slavery as he tries to rally supporters in Tennessee.

The Republican presidential candidate is casting himself as his party's most electable candidate because he can help grow the GOP beyond its traditional base of older, white voters. He drew from his parent's story as Cuban immigrants during a Sunday afternoon rally in suburban Nashville.

Rubio said, "Americans are the descendants of go-getters."

He continued, "Americans are the descendants of people who came here whether it was two centuries ago or two years ago because they refused to live in a society that told them they could not be who they wanted to be. America is the descendants of slaves who overcame that horrifying institution to claim their stake to the American dream."

Rubio would be the nation's first Hispanic-American president if elected.

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3:23 p.m.

Republican Donald Trump and Democrat Hillary Clinton are cementing their status as presidential front-runners with strong performances among demographic groups at the core of their two parties. The developments put tremendous pressure on their top rivals as the nominating contests head into delegate-rich March.

Exit polls conducted for the Associated Press and television networks show it was Trump's surprisingly strong performance among self-described evangelical conservatives in South Carolina that helped him notch another double-digit victory and sweep all 50 delegates. It was a grave blow to Ted Cruz, who invested heavily in his pursuit of religious conservatives here only to finish a narrow third behind Marco Rubio.

For Democrats, Clinton's Nevada caucus victory over Bernie Sanders affirmed her strength among non-white voters, who, like white evangelicals for Republicans, will play key roles in upcoming primaries.

Among South Carolina Republicans who voted Saturday, more than seven in 10 described themselves as born-again Christians. Those voters were slightly more likely to say they voted for Trump (33 percent) than Cruz (27 percent).

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2:23 p.m.

Donald Trump's rivals are running out of time to stop him.

After Saturday's dominant performance in South Carolina, a close look at the calendar of upcoming elections suggests the New York billionaire's rivals have until mid-March to slow him down.

After that, their only chance to keep Trump from representing the Republican Party in the general election may be a nasty, public fight at the GOP's national convention.

The reason is delegates — and how they're awarded in the Republican Party.

While winning states generates headlines, a candidate wins the party's nomination by collecting a majority of the delegates awarded in presidential primaries and caucuses.

This year, most Republican contests award delegates proportionally, based on each candidate's share of the vote. That could make it hard for Trump to build a big lead, because even the second- and third-place finisher can win delegates.

But if one candidate is able to run up a significant lead — as Trump has begun to — proportional contests also make it difficult for others to catch up.

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2:21 p.m.

Bernie Sanders says in South Carolina that the economy is "a lot better" than it was seven years ago "thanks to President Obama."

Sanders made an unannounced stop at a luncheon following services at a Baptist church in West Columbia, South Carolina. He says he would work to fix a "broken criminal justice system" and give black Americans more economic opportunities.

Sanders spoke the mostly black audience ahead of next Saturday's South Carolina primary, where polls show him trailing Hillary Clinton by wide margins among African Americans who make up more than half of the electorate in state primaries.

Clinton has questioned Sanders' loyalties to Obama, the nation's first black president.

Sanders is holding a rally later in the day in Greenville, South Carolina.

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2:05 p.m.

The election calendar may have Democrats voting next in South Carolina, but Hillary Clinton and Bernie Sanders already have their eyes on bigger prizes to come in March.

That's the month that will likely determine whether the Vermont senator can keep pace in the party's White House race.

Clinton shook off some of the anxieties shadowing her campaign with a solid victory in Saturday's Nevada caucuses.

More than half of the 2,383 delegates needed to win the Democratic nomination will be determined in the 28 states that hold primaries and caucuses in March.

While Clinton and Sanders should have enough money to stay in the race for weeks afterward, the delegate tally at the end of the month could make the result inevitable.

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12:56 p.m.

Sen. Dean Heller says he's endorsing GOP presidential contender Marco Rubio.

The Nevada senator's support could be critical to Rubio's fortunes in the state two days before the GOP caucus.

Heller says in a statement that Rubio is "the candidate capable of uniting conservatives, growing our party, and beating the Democrats in November."

Rubio is hoping his second-place win in South Carolina Saturday makes him a viable alternative to establishment Republicans turned off by front runner Donald Trump.

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11:45 a.m.

Hillary Clinton says Donald Trump and Ted Cruz "missed the mark" when they described their posture toward the Israeli-Palestinian conflict.

Trump has recently suggested that he'll be "sort of a neutral guy" in the dispute. Cruz, meanwhile, says he has, "no intention of being neutral" in his support for Israel.

The former secretary of state suggested on CNN's "State of the Union" that the situation is far more complex. She pledged to defend and do everything she can to support Israel, but adds, that "the Palestinians deserve to have a state of their own. That's why I support a two-state solution."

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11:40 a.m.

Trump is leading the delegate count in the Republican presidential nomination.

The billionaire businessman hauled in all of South Carolina's 50 delegates in Saturday's primary, giving him a total of 67. Sen. Ted Cruz has 11 delegates and Sen. Marco Rubio has 10.

The South Carolina results marked a major disappointment for Cruz, whose path to the nomination requires strong performances across the South. The Texas senator finished well behind Trump in the state known as the gateway to the South — despite Cruz's appeal among evangelical Christians and his southern roots.

Based on the way the state's delegates are apportioned, neither Cruz nor Rubio won any in what is shaping up as a three candidate race.

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11:20 a.m.

Note to Marco Rubio, Ted Cruz, Donald Trump and anyone else who wants John Kasich to exit the race for the GOP presidential nomination: Not gonna do it. Not anytime soon, at least.

The Ohio governor tells CBS's "Face the Nation" that for him, the goal is gathering delegates in such Republican contests as Massachusetts, Vermont, Virginia, Mississippi, Michigan and Illinois. He says, "I don't have to win in these places, I just have to hang in there and continue to gather momentum."

Kasich argues that besides, he's the only governor left in the GOP field, now that former Florida governor Jeb Bush has exited.

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10:55 a.m.

Billionaire businessman Donald Trump acknowledges he probably needs to act more presidential and says he'll do so "pretty soon."

The often brash Trump tells "Fox News Sunday," ''I think I'll be very presidential at the appropriate time. Right now, I'm fighting for my life."

Trump has chalked up his second win in a row, duplicating his success in New Hampshire with a win in South Carolina on Saturday. His victory comes after a week in which he threatened to sue one rival, accused former President George W. Bush of lying about the Iraq war and even tussled with Pope Francis on immigration.

Trump says he "can act as presidential as anybody that's ever been president other than the great Abraham Lincoln." He says Lincoln was hard to beat.

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10:30 a.m.

Republican presidential candidate Ted Cruz says that his third place finish in South Carolina is effectively a tie for second place with Marco Rubio.

The Associated Press has called the race for Donald Trump, with Rubio placing second by two-tenths of 1 percentage point over Cruz, who finished third.

Cruz said Sunday on ABC's "This Week" that, "last night we effectively tied for second," adding that, "there is now only one strong conservative remaining in this race who can win.

Cruz says the "game plan from Day One was to do well in the first four states and consolidate conservatives to go forward to Super Tuesday" on March 1. "We're positioned ideally to do exactly that."

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10:25 a.m.

Democratic presidential candidate Bernie Sanders says his loss to Hillary Clinton in Nevada probably was caused by lower voter turnout.

The Vermont senator says on NBC's "Meet the Press" Sunday that "We will do well when young people, when working-class people come out" to vote. He adds: "We did not do as good a job as I had wanted to bring out a large turnout."

The state party estimates that 80,000 Democrats caucused Saturday. That's about 10,000 more than most expected but still well below the nearly 120,000 who showed up in 2008.

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9:50 a.m.

The national Republican chairman says the party is ready "for anything" at the nominating convention in July.

Reince Priebus (ryns PREE'-bus) is talking about a scenario where no presidential candidate comes to the GOP convention this summer with the necessary number of delegates from the primary campaign to clinch the nomination on the first ballot.

He tells ABC's "This Week" that "we will be prepared if that happens, but again I don't think that's going to be the case.

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9:40 a.m.

Hillary Rodham Clinton says she understands that independent voters in particular have questions about whether they can trust her.

She says on CNN's "State of the Union" that voters have an "underlying question...is she in it for us or is she in it for herself?"

She adds: "That's a question that people are trying to sort through...I know that I have to make my case."

The FBI is investigating whether classified information passed through Clinton's homebrew server while she was secretary of state.

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9 a.m.

Donald Trump is rejecting the idea that the Republican nomination is his to lose after his big win in South Carolina.

Trump says on CBS' "Face the Nation" that he still faces some tough competition, so "I don't want to say it's mine."

Trump was asked about Marco Rubio's suggestion that he needs to be more specific about his policy ideas. The billionaire businessman responded that he has "great knowledge of foreign policy." And he says he's a better vision for how to end the bloodshed and unrest in Syria than those who offer themselves as "great military geniuses."

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8:54 a.m.

Marco Rubio says he's in good shape to more directly take on Donald Trump as a smaller Republican field moves on after South Carolina.

The Florida senator tells CBS' "Face the Nation" that the choice for Republicans is becoming "clearer and clearer" now that rival Jeb Bush is out of the race.

Rubio says it's time for Trump — who won in South Carolina on Saturday — to start spelling out clear policy positions on national security matters, health care and more.

Rubio puts it this way: "If you're running to be president, you can't just tell people you're going to make America great again."

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8:50 a.m.

Fresh from his victory in South Carolina's primary, Republican presidential candidate Donald Trump is sending a big thank you to Sarah Palin.

In a tweet, Trump is citing the former Alaska governor and 2008 vice presidential nominee for her "amazing help and support." Palin has endorsed the billionaire businessman in the GOP race.

Trump says he had a big win on Saturday and that "the people of South Carolina got it."

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