Question: Which breed is more rare, the New Zealand Heading Dog or the Telomian?

full_context: Document 1: Border Collie: The Border Collie is a working and herding dog breed developed in the Anglo-Scottish border region for herding livestock, especially sheep. It was specifically bred for intelligence and obedience.
Document 2: Phu Quoc Ridgeback: The Phu Quoc Ridgeback is a breed of dog from Phú Quốc Island in Vietnam's southern Kiên Giang Province. The Phu Quoc Ridgeback is one of only three breeds that has a ridge of hair that runs along its back in the opposite direction from the rest of the coat (the others are Rhodesian Ridgeback and Thai Ridgeback). The Phu Quoc is the smallest of the three ridgeback breeds.
Document 3: Tugou: Tugou (土狗, pinyin: "tǔ gǒu"), literally means Native Dog in Mandarin Chinese, is the general name for several dog breeds originated from China and still abundantly exists across the country today. Tugou includes the most popular Chinese dog breed - the Chinese Field Dog (, pinyin: "zhōng huá tián yuán quǎn"), Chinese Chongqing Dog, Xiasi Dog, and several other native dog breeds distributed across China. They are roughly 45–50 cm tall at the shoulder.
Document 4: Bearded Collie: The Bearded Collie, or Beardie, is a herding breed of dog once used primarily by Scottish shepherds, but now mostly a popular family companion.
Document 5: Chinese Chongqing Dog: The Chinese Chongqing Dog is a rare breed of dog native to the Chongqing city of China. In its early years, it was used for hunting wild boar and rabbits, but it's now used in China to protect families and belongings. They are an ancient, natural breed said to have existed for 2,000 years since the time of the Han Dynasty in Ancient China. After the establishment of the People's Republic of China in 1949, the breed's numbers were greatly reduced, and only people in rural communities still kept it; the breed is still rare, even in China.
Document 6: Telomian: The Telomian is a breed of dog native to Malaysia. Though rare, it remains the only known Malaysian dog breed to live outside its homeland. Malaysian are used to called this dog breed Anjing Kampung which means Village dog in Malay. This dog breed is still remained rarest in the world.
Document 7: Icelandic Sheepdog: The Icelandic Sheepdog is a breed of dog of spitz type originating from the dogs brought to Iceland by the Vikings. It is of similar type to the Norwegian Buhund, the Shetland Sheepdog, and the Welsh Corgi. They are commonly used to herd sheep in the Icelandic countryside.
Document 8: Thai Ridgeback: The Thai Ridgeback (Thai: ไทยหลังอาน , rtgs: Thai Lang-An ) is an ancient landrace of dog, recently established also as a standardized breed. The breed was formerly unknown outside of Thailand, but is gaining notice in the Western world. They are also known as a Mah Thai Lang Ahn. The Thai Ridgeback is one of only three breeds that has a ridge of hair that runs along its back in the opposite direction to the rest of the coat. The other two are the Rhodesian Ridgeback and the Phu Quoc Ridgeback.
Document 9: Shetland Sheepdog: The Shetland Sheepdog, also known as the Sheltie, is a breed of herding dog. The original name of this breed was Shetland Collie, but this caused controversy among the Rough Collie breeders at the time, so the breed's name was formally changed to Shetland Sheepdog. This small dog is intelligent, vocal, excitable, energetic and willing to please and work hard. The breed was formally recognized by The Kennel Club in 1909.
Document 10: Kanni: The Kanni, which means maiden, is a rare indigenous South Indian sighthound breed of dog found in the state of Tamil Nadu. The breed is used mainly for coursing game.
Document 11: Newfoundland (dog): The Newfoundland dog is a large working dog. They can be either black, brown, or white-and-black (called Landseer). However, in Canada, the country of their origin, the only correct colours are either black or Landseer. They were originally bred and used as a working dog for fishermen in the Dominion of Newfoundland (which is now part of Canada). They are known for their giant size, intelligence, tremendous strength, calm dispositions, and loyalty. Newfoundland dogs excel at water rescue/lifesaving because of their muscular build, thick double coat, webbed feet, and innate swimming abilities.
Document 12: Rare breed (dog): Rare breed (dog) is any breed of dog that is small in number and is used to refer to both old established breeds such as the Stabyhoun and Glen of Imaal Terrier or newer creations. Since dogs have greater genetic variability than other domesticated animals the number of possible breeds is vast with new crosses constantly occurring, from these both selected and random crosses may come new breeds should offspring reliably breed true to type. New breeds from the wild such as the Carolina Dog are quite rare compared to attempts at breed creation from man as found in the American Hairless Terrier which sought to exploit a mutation.
Document 13: Australian Cattle Dog: The Australian Cattle Dog (ACD), or simply Cattle Dog, is a breed of herding dog originally developed in Australia for droving cattle over long distances across rough terrain. This breed is a medium-sized, short-coated dog that occurs in two main colour forms. It has either brown or black hair distributed fairly evenly through a white coat, which gives the appearance of a "red" or "blue" dog. It should not be confused with the Australian Shepherd, a similarly named but totally different breed.
Document 14: New Zealand Heading Dog: The New Zealand Heading Dog is a working and herding dog that uses its visual prowess and quick movement to control sheep. Bred from Border Collies, Heading Dogs are a sturdy, long-legged and even-haired breed. They are generally black and white in color, but may also be tan.
Document 15: Collie: The collie is a distinctive type of herding dog, including many related landraces and standardised breeds. The type originated in Scotland and Northern England. The collie is a medium-sized, fairly lightly built dog, with a pointed snout. Many types have a distinctive white pattern over the shoulders. Collies are very active and agile, and most types of collies have a very strong herding instinct. Collie breeds have spread through many parts of the world (especially Australia and North America) and have diversified into many varieties, sometimes with mixture from other dog types. Some collie breeds have remained as working dogs, used for herding cattle, sheep and other livestock, while others are kept as pets, show dogs or for dog sports, in which they display great agility, stamina and trainability. While the AKC has a breed they call "Collie", in fact collie dogs are a distinctive type of herding dog including many related landraces and formal breeds. There are usually major distinctions between show dogs and those bred for herding trials or dog sports. They typically display great agility, stamina and trainability and more importantly sagacity.
ground_truth: Telomian