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Mathematics, 22.10.2021 21:40 jd326677777gfc

A triangular tower is built with 11 rows as shown. Each square on the bottom row contains the number 0 or 1. Each square above the bottom row is the sum of the two squares below it. A student insists on the number in the top square being a multiple of 3. How many ways are there entering the 0s and 1s in the bottom row to satisfy the student?

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