 New York State Route 368 ( NY 368 ) was a state highway in Onondaga County , New York , in the United States . It was one of the shortest routes in the county , extending for only 1 @.@ 69 miles ( 2 @.@ 72 km ) between NY 321 and NY 5 in the town of Elbridge . NY 368 was known as Halfway Road for the hamlet it served near its midpoint . The route was assigned in the 1930s and removed in 1980 as part of a highway maintenance swap between the state of New York and Onondaga County . 
