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In page History of Oceania:

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Pottery art from Fijian towns shows that Fiji was settled before or around 3500 to 1000 BC, although the details of Pacific migration remain vague. It is believed that the Lapita people or the ancestors of the Polynesians settled the islands first but not much is known of what became of them after the Melanesians arrived; they may have had some influence on the new culture, and archaeological evidence shows that Polynesians would have then moved on to Tonga, Samoa, and even Hawai'i.[citation needed]