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San Francisco • Tim Lincecum wants nothing more than to return to his old dominant self in the very place where he has been at his best before.

The two-time NL Cy Young Award winner finalized his $35 million, two-year contract with the San Francisco Giants on Friday after passing a physical. Now, he is ready to get back to work and build toward a comeback season in 2014. He will begin his offseason workout routine in earnest with a training appointment Monday in the Seattle area.

"It gives you that freedom that I've done it with this group before. I feel like we can do it again, and personally I feel like I can succeed there again," Lincecum said. "As a group, I feel like we have the right tools to make another push. Those are the kind of things you look for when going after an organization. When I'm already plugged into one, I don't have to look too far to see what they've done and what I've been able to do with them."

Just as the Giants had hoped, they signed Lincecum before he went on the free-agent market.

Lincecum, who pitched a no-hitter on July 13 at San Diego, reached agreement on the new deal earlier in the week that keeps him with his only major league team through 2015. The contract pays $17 million for next year and $18 million in '15.

Lincecum's contract includes a full no-trade clause. In addition, he can earn an additional $250,000 each for 210 innings pitched and 220 innings.

He would earn $500,000 for another Cy Young, $250,000 for second place, $100,000 (third), $75,000 (fourth) and $50,000 (fifth).

If he wins the 2014 Cy Young award, the first-place bonus would increase to $1 million for the following year.

Lincecum will get a hotel suite on the road. The contract also calls for him to purchase 25 tickets to each home game for underprivileged children in the Bay Area.

"This was targeted as a baseball signing," CEO Larry Baer said. "This was the right thing for the Giants to keep the rotation strong and keep the team's chances of winning strong. ... Timmy is a very popular guy, but I don't want it to be misinterpreted that this was done because he's popular."