Hamilton says he had forgotten what it's like to lead after finishing second ahead of Perez
Weinstein, 66, also agreed to wear a GPS tracker and to surrender his passport after turning himself in to police on Friday, reports bbc.com.
He pleaded not guilty to charges of first- and third-degree rape and committing a criminal sexual act in the first degree at his arraignment.
More than 70 women have accused Weinstein of sexual misconduct although the charges relate to only two of them. Some allegations date back decades.
Prosecutors said on Friday that Weinstein had been charged with two counts of rape and one count of a criminal sexual act involving two women, who were not identified.
Witnesses said Weinstein appeared pale and stared into space while prosecutors outlined the bail agreement.
The case was adjourned until July 30.
Outside the court, Weinstein's lawyer, Ben Brafman, told reporters his client would enter a not guilty plea.
"We intend to move very quickly to dismiss these charges. We believe that they are constitutionally flawed. We believe that they are not factually supported by the evidence," he said.
The New York Police Department issued a statement thanking "these brave survivors for their courage to come forward and seek justice".
The identity of one of the women whose accusations prompted the charges was confirmed by her lawyer on Friday.
Former actress Lucia Evans had already publicly accused Weinstein of forcing her into oral sex in 2004.
Hamilton says he had forgotten what it's like to lead after finishing second ahead of Perez
The defence ministry said it intercepted 50 Ukrainian drones overnight
Media reports had suggested the trip would begin as soon as Sunday and last two days
Visitors can enjoy movies with family favourites, including ‘The Jungle Book’, ‘Jumanji’ and ‘Zootopia’ to match the wild theme every evening from 8pm
Sheikh Mohamed conveyed his congratulations to all eight honourees, recognising their inspiring efforts and significant contributions in service to society
His father thanked everyone who participated in the search mission despite the challenges posed by flooding in various parts of the emirate
It will be humid by night and Sunday morning with a probability of mist formation over some coastal and internal areas
Nearly 6,000 volunteers linked to a single support group are working tirelessly across the country to help those affected