A New York Times investigation has found three decades of sexual harassment allegations against the Hollywood producer Harvey Weinstein. In response to that reporting, Mr. Weinstein released the following statement: “I realized some time ago that I needed to be a better person. Though I’m trying to do better, I know I have a long way to go.” A lawyer advising him said that the producer “denies many of the accusations as patently false.” Guests: Jodi Kantor and Megan Twohey, Times reporters. For more information on today’s episode, visit nytimes.com/thedaily.

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At least 12 of the weapons found in the hotel suite used by the gunman who killed 58 people in Las Vegas on Sunday had been modified. He used a device called a bump stock, which enables a semiautomatic rifle to fire faster, and can be purchased online. Guest: C. J. Chivers, a New York Times investigative reporter and Marine veteran. For more information on today’s episode, visit nytimes.com/thedaily.

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Every mass shooting in the United States is inevitably followed by a call for gun control, but major legislation never passes. We look at how the National Rifle Association became a powerful lobbying group. Also, a gun store owner talks about putting military-style weapons into the hands of civilians. Guests: Robert Draper, a writer at large for The New York Times Magazine; John Markell, the owner of a gun store in Roanoke, Va. For more information on today’s episode, visit nytimes.com/thedaily.

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A lone gunman booked a suite at a Las Vegas hotel, took aim at a crowd below and committed one of the deadliest mass shootings in American history. At least 59 people are dead, and more than 500 wounded. President Trump is scheduled to visit the city on Wednesday. Today, Mr. Trump is heading to Puerto Rico to survey the damage from Hurricane Maria. A reporter for The Times discusses what she has seen on the island. Guests: Richard Pérez-Peña, a national reporter for The Times; Frances Robles, a Times correspondent based in Miami. For more information on today’s episode, visit nytimes.com/thedaily.

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Across the United States, the case could be made that American voters are not choosing their representatives so much as representatives are choosing their voters. As the Supreme Court opens a new session, it turns to a question that, until now, it had been unwilling to resolve: Does drawing the perfect election district violate the Constitution? Guest: Emily Bazelon, a staff writer for The New York Times Magazine, and Dale Schultz, a former state senator in Wisconsin. For more information on today’s episode, visit nytimes.com/thedaily.

This episode was updated at 11 a.m. EST.

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If you are found to be guilty of murder and sane, you could spend 25 years in prison. But if you are found not guilty by reason of insanity, you could be confined to an institution for 587 years. Involuntary confinement in a state psychiatric hospital sometimes becomes a life sentence. Guests: Mac McClelland, a reporter who has written about Houston Herczog, her third cousin who was found not guilty of murdering his father by reason of insanity; Savannah Herczog, Mr. Herczog’s sister, who was at home the night their father was killed; Houston Herczog, who is confined at Napa State Hospital in California. For more information on today’s episode, visit nytimes.com/thedaily.

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The presidency of Donald J. Trump has changed the rules of influence in the nation’s capital, replacing top lobbyists with a group of newcomers and former nobodies. Those newcomers are getting rich. Guest: Nicholas Confessore, a political investigative reporter for The New York Times. He interviewed the lobbyist Robert Stryk for an episode of one of our other podcasts, “The New Washington.” For more information on today’s episode, visit nytimes.com/thedaily.

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At the height of the 2016 election, exaggerated reports of a brutal crime turned the town of Twin Falls, Idaho, upside down. The fake news has had real consequences. Guest: Caitlin Dickerson, who covers immigration for The Times. For more information on today’s episode, visit nytimes.com/thedaily.

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President Trump has issued a new order indefinitely banning almost all travel to the United States from several countries, including North Korea. But why is Chad now on the list? Also, how the Supreme Court’s cancellation of arguments on the previous policy could affect a politically charged legal case. Guests: Eric Schmitt, who covers terrorism and national security for The Times; Adam Liptak, who covers the Supreme Court. For more information on today’s episode, visit nytimes.com/thedaily.

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For years, the N.F.L. has avoided bringing politics onto the field. But in stadiums across the country on Sunday, players locked arms in protest as the national anthem played. We discuss how President Trump has forced professional athletes to become more political than ever before. Guest: Michael Powell, a sports columnist for The Times. For more information on today’s episode, visit nytimes.com/thedaily.

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