New York (AP) -  Front-runners Donald Trump and Hillary Clinton swept to resounding victories in Tuesday's New York primary, with Trump bouncing back convincingly from a difficult stretch in his Republican campaign and Clinton pushing tantalizingly close to locking up the Democratic nomination.

"The race for the nomination is in the home stretch, and victory is in sight," Clinton declared to cheering supporters.

Trump captured more than 50 percent of the vote in New York and was headed toward a big delegate haul in his home state, a commanding showing that keeps him on a path to the GOP nomination if he continues to win. He claimed at least 89 of the 95 delegates at stake Tuesday, with Ohio Gov. John Kasich winning at least three and Texas Sen. Ted Cruz in danger of getting shut out.

A confident Trump insisted it was impossible for his rivals to catch him. Indeed, Cruz's poor showing in New York left him without any mathematical chance of clinching the nomination before the Republican convention in July, though Trump could still end up short of the needed 1,237 needed to seal victory before the gathering.

"We don't have much of a race anymore," Trump said during a victory rally in the lobby of the Manhattan tower bearing his name. He peppered his brash remarks with more references to the economy and other policy proposals than normal, reflecting the influence of a new team of advisers seeking to professionalize his campaign.

Hillary Clinton Holds New York Primary Night Gathering In Manhattan
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Clinton's triumph padded her delegate lead over rival Bernie Sanders and put her 80 percent of the way to clinching the Democratic nomination that eluded her eight years ago. In a shift toward the general election, she made a direct appeal to Sanders' loyal supporters, telling them she believes "there is more that unites us than divides us."

Exit polls suggested Democrats were ready to rally around whoever the party nominates. Nearly 7 in 10 Sanders supporters in New York said that they would definitely or probably vote for Clinton if she is the party's pick.

Sanders energized young people and liberals in New York, as he has across the country, but it wasn't enough to pull off the upset victory he desperately needed to change the trajectory of the Democratic race. Still, the Vermont senator vowed to keep competing.

"We've got a shot to victory," Sanders said in an interview with The Associated Press. However, his senior adviser Tad Devine said later that the campaign planned to "sit back and assess where we are" after a string of contests next week.

Of the 247 Democratic delegates at stake in New York, Clinton picked up at least 135 while Sanders gained at least 104.

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