Question: Which ocean borders the 1364 acre state park which also shares a border with a census-designated place that roughly corresponds to the hamlet with the same name in the Town of East Hampton in Suffolk County, New York, United States?
Sentence (from "New Suffolk, New York"): New Suffolk is a census-designated place (CDP) that roughly corresponds to the hamlet by the same name in the Town of Southold in Suffolk County, New York, United States.
Relevant evidence: No