(ASSOCIATED PRESS) After Donald Trump’s record victory in the Iowa caucuses, New Hampshire voters now get their turn to decide just how competitive the Republican nominating fight will be as the former president continues to dominate his party.

Trump was eager Tuesday to flaunt his 30-point victory in Iowa a night earlier, as he stepped up the pressure on former U.N. Ambassador Nikki Haley and Florida Gov. Ron DeSantis to improve on their distant finishes in the opening votes of the 2024 presidential election. They have a one-week sprint ahead of next Tuesday’s primary in New Hampshire, the longtime host of the nation’s first Republican presidential primary.

“Our country is dying. ... And I stand before you today as the only candidate who is up to the task of saving America,” Trump declared in Atkinson, where hundreds of his supporters cheered the former president's boasts about his standing in polls, attacks on President Joe Biden and sweeping promises to “make our country rich as hell again.”

DeSantis, the Florida governor, and Haley, Trump's former United Nations Ambassador and onetime South Carolina governor, were campaigning Tuesday in New Hampshire, as well. DeSantis got about 21% of the vote in Iowa, 30 percentage points behind Trump’s narrow majority and 2 points ahead of Haley’s third-place finish.

New Hampshire's electorate is less religiously conservative and less rural than in Iowa, factors that helped Trump in the caucuses. If DeSantis and Haley cannot capitalize on those differences, they could watch Trump sustain momentum that would render the rest of the Republican primary calendar little more than a formality.

“You must go out and vote,” Trump said. “We have to show margins like never before.”

Haley, who has sought to build a wide coalition that includes independents, has put great emphasis on New Hampshire, hoping it becomes a springboard to her home-state South Carolina primary next month. DeSantis, who has run more as a Trumpian conservative, put more stock in Iowa, so now must regroup quickly for New Hampshire or risk squandering his second-place finish.

Severe winter weather already is altering campaign schedules and making their tasks harder. DeSantis' campaign had to cancel an afternoon event because of difficult travel conditions.

ABC News, meanwhile, canceled a Thursday debate after it became clear only DeSantis seemed sure to participate. Haley, angling to frame the primary as a battle between Trump and herself, had suggested earlier Tuesday that she would debate only if Trump joined her. Trump has skipped every GOP primary debate so far and said he would take the stage only against a Republican rival who was commensurate with him in the polls.

“We are beating everybody,” Trump bragged in Atkinson, where he also showed off an endorsement from Vivek Ramaswamy, the biotech entrepreneur who suspended his campaign after finishing with single-digit support in Iowa. Ramaswamy joined Trump onstage and pledged to help him win in November.

Texas Sen. Ted Cruz, who defeated Trump in the Iowa caucuses in 2016, endorsed the former president Tuesday evening, as well. “At this point, I believe this race is over so I'm proud to endorse Donald Trump,” Cruz said on Fox News.

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