Because of the way the tonalpohualli (260 ritual cycle) calendar integrated with the 365-day solar calendar, only 4-day signs could be used to name the year. These yearbearer signs were combined with thirteen numbers to form a cycle of 52 years, somewhat like our century, but only half as long. Throughout the course of the xiuhmolpilli, (the 52-year period) no single yearbearer date was repeated. Both the Aztec and the Mixtec used the days Reed, Flint, House, and Rabbit as yearbearers in the xiuhmolpilli cycle. Some day signs, for example 5 Flower, could only be days, but others, such as 1 Rabbit, could be either days or years. The artists of the codices solve the problem of identifying a date as a day or as a year by marking it as a year when appropriate. The Mixtec painters used what has been called an A-O sign, a symbol that interlocks a painted ray and a flattened circle. The artists either attached the year name to it or embraced the year sign in the arms of the A-O. The Aztecs enclosed the year name in a rectangular cartouche, one that was almost always painted blue or turquoise. On plate 27 of the Borgia Codex (which has many Mixtec elements) there are eight calendar dates that all start with the numeral 1. Identify the name of the days and the name of the years below