Question: New York State Route 436 passes through a state park 35 mi southwest of what city?

Context paragraphs:
New York State Route 436: New York State Route 436 (NY 436) is an east–west state highway located in the western portion of New York in the United States.  It extends for 23.80 mi from an intersection with NY 39 in the Pike hamlet of Lamont to a junction with NY 36 in the village of Dansville.  In between, the route passes through Letchworth State Park near its southern tip and serves the village of Nunda, where it meets NY 408.  NY 436 also passes through the hamlet of Portageville, located at the southern end of Letchworth State Park on NY 19A, which NY 436 overlaps north of the community.  Most of NY 436 is a two-lane highway that traverses largely rural areas of Wyoming and Livingston counties.

New York State Route 329: New York State Route 329 (NY 329) is a 2.57 mi long state highway near Watkins Glen, New York, in the United States.  The western terminus is at an intersection with Meads Hill Road in Dix.  The eastern terminus is at a junction with NY 14 and NY 414 in Watkins Glen.  NY 329 passes south of Watkins Glen State Park while New York State Route 419, a highway 0.30 mi in length, connects NY 329 to the park.  Both NY 329 and NY 419 pass through sparsely populated, rural areas.

New York State Route 27: New York State Route 27 (NY 27) is an east–west 120.58 mi long state highway extending from Interstate 278 (I-278) in the New York City borough of Brooklyn to Montauk Point State Park on Long Island, New York, in the United States.  Its two most prominent components are Sunrise Highway and Montauk Highway, the latter of which includes the Montauk Point State Parkway.  East of the interchange with the Heckscher State Parkway in Islip Terrace, NY 27 acts as the primary east–west highway on southern Long Island.  The entire route in Suffolk, Nassau, and Queens counties was designated by the New York State Senate as the POW/MIA Memorial Highway.  Every town on the South Shore is accessible through Sunrise Highway.  The service roads that parallel the highway from Farmingdale to Brookhaven are officially designated, but not signed, as New York State Route 906C and New York State Route 906D.

Villanueva State Park: Villanueva State Park is a state park of New Mexico, United States, located on the banks of the Pecos River.  The park features red and yellow sandstone cliffs, cottonwood trees, and other native plants.  The park elevation is 5600 ft above sea level.  The park is located 35 mi southwest of the town of Las Vegas, New Mexico.

Niagara Scenic Parkway: The Niagara Scenic Parkway (known as the Robert Moses State Parkway until 2016) is an 18.42 mi long north–south highway in western Niagara County, New York, in the United States.  Its southern terminus is at the LaSalle Expressway on the east bank of the Niagara River in Niagara Falls.  The northern terminus is at NY 18 at Four Mile Creek State Park in Porter near Lake Ontario.  Originally, the parkway was one continuous road; however, due to low usage, a portion of the parkway near Niagara Falls was removed, separating the parkway into two sections.  The length of the parkway is designated as New York State Route 957A by the New York State Department of Transportation (NYSDOT).  A 1.16 mi long spur connecting the Niagara Scenic Parkway to Fort Niagara State Park near Youngstown is designated as New York State Route 958A.  Both reference route designations are unsigned.

New York State Route 382: New York State Route 382 (NY 382) was a state highway in the town of Red House in Cattaraugus County, New York, in the United States.  The highway was 0.8 mi long and served as a connector between NY 17 and the Red House entrance of Allegany State Park, where it connected to Allegany State Park Route 2 (ASP Route 2).  NY 382 was assigned in the early 1930s and removed in the early 1970s after the highway's connection to the park was dismantled, and the hamlet it served evacuated, as part of the Southern Tier Expressway's construction.  The NY 382 designation is currently reserved by the New York State Department of Transportation as a replacement for NY 88 in Ontario and Wayne counties.

Lake Ontario State Parkway: The Lake Ontario State Parkway is a 35.05 mi parkway along the southern shore of Lake Ontario in western New York in the United States.  The western end of the highway is at a partial interchange within Lakeside Beach State Park in Carlton, Orleans County.  Its eastern terminus is at an intersection with Lake Avenue in the Charlotte neighborhood of the Monroe County city of Rochester.  The parkway is internally designated by the New York State Department of Transportation (NYSDOT) as New York State Route 947A (NY 947A), an unsigned reference route.  A short, 0.55 mi connector between the west end of the parkway and NY 18 is unsigned New York State Route 948A.

Pixley Falls State Park: Pixley Falls State Park is a 375 acre New York state park located in the town of Boonville in Oneida County, New York, United States.  The park is located on New York State Route 46 and is 18 mi north of Rome and 6 mi southwest of Boonville, near the community of Hurlbutville.

Letchworth State Park: Letchworth State Park is a 14427 acre state park located in Livingston and Wyoming counties, New York.  The park is roughly 17 mi long, following the course of the Genesee River as it flows north through a deep gorge and over several large waterfalls.  It is located 35 mi southwest of Rochester and 60 mi southeast of Buffalo, and spans portions of the Livingston County towns of Leicester, Mount Morris, and Portage, as well as the Wyoming County towns of Castile and Genesee Falls.

Wantagh State Parkway: The Wantagh State Parkway is a 13.33 mi long state parkway on Long Island, New York, in the United States.  It links the Ocean Parkway in Jones Beach State Park with the Northern State Parkway in Westbury.  The parkway is located approximately 30 mi east of Manhattan and 14 mi east of the Nassau–Queens border.  Construction began in 1927 on this, one of the earliest of the Long Island parkways, with the initial 5 mi segment opening two years later as the Jones Beach Causeway, connecting Merrick Road in Wantagh to newly opened Jones Beach State Park.  The parkway is inventoried by the New York State Department of Transportation (NYSDOT) as New York State Route 908T (NY 908T), an unsigned reference route.

Supporting paragraphs: New York State Route 436 Letchworth State Park
Answer: Rochester