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The 41-year-old Mrs. Giffords has spent the last year in Houston undergoing intensive physical and speech therapy. Doctors and family have called her recovery miraculous; she is able to walk and talk, voted in Congress and gave a televised interview to ABC’s Diane Sawyer in May. But doctors have said it would take many months to determine the lasting effects of her brain injury. The three-term congresswoman has four months to decide whether to seek re-election.

“She’s making a lot of progress. She’s doing great,” said Rep. Debbie Wasserman Schultz, Florida Democrat, who is a close friend. “She still has a long way to go.”

President Obama called Mrs. Giffords on Sunday to offer his support and tell her he and first lady Michelle Obama were keeping her, the families of those killed and the whole Tucson community in their thoughts and prayers, according to his office. He called Mrs. Giffords an inspiration to his family and Americans across the country.

Mrs. Giffords and her husband, former astronaut Mark Kelly, went to the scene of the shooting Saturday, and Mr. Kelly tweeted a photo and said Mrs. Giffords was remembering where she had parked that day. They went to University Medical Center, where Mrs. Giffords was treated after the attack, and visited a trailhead outside Tucson named in honor of slain Giffords staffer Gabe Zimmerman.

The couple will join thousands at an evening candlelight vigil at the University of Arizona. Mr. Kelly was expected to speak.

Close friends of Mrs. Giffords and of the dead planned emotional reflections on their lives.

Sen. Mark Udall, Colorado Democrat, who was born and raised in Tucson, will speak about Mrs. Giffords, whose recovery has captivated the nation. Federal Judge Raner Collins is remembering Roll, his fellow jurist; Green’s two best friends will talk about the bright and ambitious girl born on Sept. 11, 2001.

Pat Maisch is set to speak on behalf of everyone who survived. The petite but feisty woman grabbed a gun magazine from Jared Lee Loughner after he was tackled during the shooting and believes she would have been shot next if he hadn’t been subdued.

Mr. Loughner has pleaded not guilty to 49 charges in the shooting. The 23-year-old Mr. Loughner, who has been diagnosed with bipolar disorder, is being forcibly medicated at a Missouri prison facility in an effort to make him mentally ready for trial.

Many of the survivors also have lobbied for gun legislation in Washington in hopes of preventing similar shootings and started various nonprofits that award scholarships, help needy children and promote awareness about mental illness.

Some shooting survivors, including Giffords staffers Ron Barber and Pam Simon, plan to attend as many events on Sunday as possible, including an interfaith service at a church.

Others, such as 76-year-old survivor Mavy Stoddard, whose husband, Dory, was killed as he shielded her from the bullets, plan to stay at home with family.

Sunday’s events were designed to bring Tucson residents together, much as they did after the shooting last year.

The night of the shooting, more than 100 people showed up outside Mrs. Giffords‘ office on a busy street corner in frigid temperatures, holding candles and signs that simply read, “Peace” and “Just pray.” Strangers hugged, most cried, and many sang anthems such as “Amazing Grace.”

In the days and weeks that followed, thousands of people contributed to makeshift memorials outside the office, the Tucson hospital where Mrs. Giffords and other shooting victims were treated and the grocery store where it happened.

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