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In his Tuesday remarks, the president glossed over specific problems residents are still facing.

He and Mr. Christie stopped into an arcade in Point Pleasant, where the storm had pulverized roughly half the boardwalk. Chatting like old friends, they played the arcade game “Touchdown Fever” and tried to win a stuffed bear by tossing a football through a tire. Mr. Obama tried and missed a few times. But Mr. Christie threw the ball through the tire on his first and only try.

“That’s because he’s running for office,” Mr. Obama said after giving him a high-five that ended in a clasp.

When the two appeared under a steady rain on the boardwalk at Asbury Park, a crowd of nearly 4,000 gathered in ponchos and raincoats to hear them speak.

“Republicans, Democrats, independents — we all came together because New Jersey is important and our citizens are more important than any kind of politics at all,” Mr. Christie said as he introduced Mr. Obama.

Despite the rain, Mr. Obama basked in the bipartisanship he has had difficulty finding in the nation’s capital. Still, there are signs Mr. Obama’s bipartisan bliss will be short-lived.

The House Judiciary Committee is investigating whether Attorney General Eric H. Holder Jr. lied under oath during testimony about the Justice Department’s surveillance of reporters. NBC News reported last week that Mr. Holder personally approved a search warrant that labeled Fox News’ Washington correspondent James Rosen a conspirator in a national security leaks case.

Meanwhile, House Oversight and Government Reform Committee Chairman Darrell E. Issa, California Republican, announced Tuesday that he has subpoenaed State Department documents related to the Benghazi talking points.