On May 16, the Mets and Yankees played for the first time this season in the Subway Series. Both teams were in first place. It was early, but it was natural to dream about a real Subway Series — the World Series kind.

Those dreams seemed reasonable at the time. They seemed reasonable for about another month — the Mets were 45-24, the Yankees were 42-25 — before both teams started June swoons that lasted way longer than you would have guessed.

Now we’re heading into the final day of the regular season. For the Mets and Yankees — believe it or not — the dream of a New York, New York World Series is still alive.

Barely. But there’s a heartbeat.

The Mets go into Sunday with a chance to earn a wild-card berth. The Yankees go into Sunday having already clinched a playoff spot but with a chan

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