Question: Are both Huntleya and Cyrtostachys native to South America?

full_context: Document 1: Huntleya: Huntleya is a small orchid genus native to South America, Central America and Trinidad.
Document 2: Cyrtandra (plant): Cyrtandra is a genus of flowering plants containing about 600 species, with more being discovered often, and is thus the largest genus in the family Gesneriaceae. These plants are native to Southeast Asia, Australia, and the Pacific Islands, with the centre of diversity in Southeast Asia and the Malesian region. The genus is common, but many species within it are very rare, localized, endangered endemic plants. The species can be difficult to identify because they are highly polymorphic and because they readily hybridize with each other. The plants may be small herbs, vines, shrubs, epiphytes, or trees. The genus is characterized in part by having two stamens, and most species have white flowers, with a few red-, orange-, yellow- and pink-flowered species known. Almost all species live in rainforest habitats.
Document 3: Chlidanthus: Chlidanthus is a genus that consists of 10 species of tender bulbs from tropical South America, mostly natives to the Andes. The botanical name comes from the Greek, meaning "delicate flower". The plants have large spherical bulbs with gray-green, strap-shaped leaves 30cm long arising from the base. In late spring to early summer, clusters of 3-4 large, strong citrus-scented fragrant, funnel-shaped flowers 10-13cm long held terminally on stalks 25cm high, colored in yellow, pink or red.
Document 4: Pachystachys: Pachystachys is a genus of 12 species of flowering plants in the family Acanthaceae, native to rainforest in the Caribbean and Central and South America. They are evergreen perennials and shrubs bearing prominent terminal spikes of flowers with brightly coloured bracts.
Document 5: Dypsis lutescens: Dypsis lutescens, also known as golden cane palm, areca palm, yellow palm, or butterfly palm, is a species of flowering plant in the Arecaceae family, native to Madagascar and naturalized in the Andaman Islands, Réunion, El Salvador, Cuba, Puerto Rico, the Canary Islands, southern Florida, Haiti, the Dominican Republic, Jamaica, the Leeward Islands and the Venezuelan Antilles.
Document 6: Coryanthes: Coryanthes, commonly known as bucket orchids, is a genus of tropical epiphytic orchids. This genus is abbreviated as Crths in horticultural trade. They are native to South America, Central America, Mexico and Trinidad.
Document 7: Cybistax: Cybistax is a genus containing a single species, Cybistax antisyphilitica (Mart.) Mart., a flowering and economic timber tree from tropical Central and South America. These semi-deciduous plants have greyish green, opposite, palmately compounded leaves and close-grained, light-colored wood good for furniture. In early spring, the plants bear showy clusters of bright yellow, funnel-shaped flowers 2-2.5 cm wide at branch ends. Pods are 25–50 cm long, straight, pendulous and brown with thin, flat seeds inside. The seeds have papery wings.
Document 8: Calamus (palm): Calamus is a genus of the palm family Arecaceae. These are among several genera known as rattan palms. There are an estimated 400 species in this genus, all native to tropical and subtropical Asia, Africa, and Australia. They are mostly leaf-climbing lianas with slender, reedy stems. To aid scrambling some species have evolved hooks on the underside of the midrib, or more commonly by modified "pinnae" or tendrils in the form of stout, backward-pointing spines. These stems may grow to lengths of 200 metres.
Document 9: Utricularia nana: Utricularia nana is a carnivorous plant of the Lentibulariaceae family and is the only species in the section Benjaminia. It is native to the South American countries of Venezuela, Guyana, Surinam, French Guinea, Brazil and Paraguay. It grows in swampy ground by streams and wet sandy savanna, from sea level to 1,250 m. The plant flowers between January and June.
Document 10: Psychopsis: Psychopsis, abbreviated Psychp in horticultural trade, is a genus of 5 known species of orchids native to northern South America, Central America and Trinidad. It was formerly included in the massively paraphyletic "wastebin genus" "Oncidium". The genus as a whole is commonly called butterfly orchids, but some species of other orchid genera are also called thus.
Document 11: Cyrtostachys: Cyrtostachys is a genus of flowering plant in the Arecaceae (palms) family. Its species are found in southeast Asia, New Guinea, and in some of the and island habitats of the Oceania ecozone.
Document 12: Heterotaxis: Heterotaxis is a genus of orchids native to Latin America from central Mexico to Bolivia, and also to parts of the West Indies. One species extends into Florida ("H. sessilis", listed under synonym "Maxillaria crassifolia" in Flora of North America).
Document 13: Sudamerlycaste: Sudamerlycaste is a genus of flowering plants in the Orchidaceae family. It consists of approximately 45 species. The genus was split off from "Lycaste" in 2002 by Fredy Archila. Species in "Lycaste" that were endemic to South America and the Caribbean Islands were placed into the new genus "Sudamerlycaste" and those found in Mexico and Central America stayed in "Lycaste". As a result of this change most of the species previously found in the "Lycaste" section "Fimbriatae" were then moved to the genus "Sudamerlycaste". Species are either epiphytes or terrestrial. In 2003 Henry Oakeley and Angela Ryan published the genus name "Ida" to accommodate South American and Caribbean plants previously placed in "Lycaste". Their description included the type species of "Sudamerlycaste", "Lycaste andreettae". This renders "Ida" an illegitimate name.
Document 14: Copernicia: Copernicia is a genus of palms, native to South America and the Greater Antilles. Of the known species and nothospecies (hybrids), 22 of the 27 are endemic to Cuba. They are fan palms (Arecaceae tribe Corypheae), with the leaves with a bare petiole terminating in a rounded fan of numerous leaflets. The species are small to medium-sized trees growing to 5-30 m tall, typically occurring close to streams and rivers in savanna habitats.Govaerts, R. & Dransfield, J. (2005). World Checklist of Palms: 1-223. The Board of Trustees of the Royal Botanic Gardens, Kew.
Document 15: Cycas: Cycas is the type genus and the only genus recognised in the family Cycadaceae. About 113 species are accepted. "Cycas circinalis", a species endemic to India was the first cycad species to be described and was the type of the generic name, "Cycas". The best-known "Cycas" species is "Cycas revoluta". "Cycas" is a very ancient genus of trees. The group achieved its maximum diversity in the Jurassic and Cretaceous periods, when it was distributed almost worldwide. At the end of the Cretaceous, when the non-avian dinosaurs became extinct, so did most of the cycas in the Northern Hemisphere.
ground_truth: no