Instead, Anderson made three more saves and Bobby Ryan scored 4:59 into overtime to give the Senators a 2-1 win.
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"I think the main thing is, when a period ends, all momentum that was gained or lost starts at zero again," Anderson said. "You're able to come out at a fresh start. I think that's the main message, at least that I tell myself, is that it's a fresh start, 0-0 game. Just for myself, make the next save."
Anderson, who made 27 saves, did that in overtime and throughout Game 1. Game 2 of the best-of-7 series is here on Monday (8 p.m. ET; NBCSN, CBC, TVA Sports).
Perhaps with the exception of Ryan, Anderson was most lauded player inside the Senators locker room. Forward Kyle Turris went so far to say without Anderson, the Senators likely don't win Game 1.
"[Anderson] stood on his head the whole game," Turris said. "We tried to help him out, but at the end of the day, him standing on his head gets us that win and keeps us in the game the whole time to give us a chance. It starts with him and we just try to help him out.
"We have a plan where we set up and we try to execute on our plan, but at the end of the day he's making saves that not many people can make. He's done a great job so far."