The San Francisco Giants hope to continue an increasingly improbable run to a playoff berth in the National League when they host the New York Mets on Saturday afternoon on the second day of a three-game series. On the same day that they appeared to raise the white flag when they dealt Andrew McCutchen to the New York Yankees for two prospects, the Giants (68-68) used Aramis Garcia's first major-league home run and Chris Shaw's first major-league RBI to help beat the Mets 7-0 on Friday night and inch within 6 1/2 games of first-place Arizona (74-61) in the NL West.