It looks like you have two groups to categorize: the Mississippians and the Ancestral Puebloans. Here's a brief description for each to help you fit them correctly:
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Mississippians: Known for their complex, mound-building societies in the Mississippi River Valley, they were part of a culture that developed sophisticated agriculture, trade networks, and large urban centers, such as Cahokia.
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Ancestral Puebloans: Also known as the Anasazi, this group inhabited the Four Corners region of the United States (where Utah, Colorado, Arizona, and New Mexico meet). They are famous for their cliff dwellings and complex stone structures.
If you need to categorize activities, achievements, or traits, please provide specific information for further assistance. Otherwise, based on the information alone, you can match descriptions related to elaborate mound construction and Mississippi River Valley to the Mississippians, and intricate cliff dwellings and the Four Corners region to the Ancestral Puebloans.
Please let me know how else I can assist!