Find the number of binary strings of length 10 with no two consecutive 1s.

This problem is shared by Minimario M.

**Details and assumptions**

A **binary string** is a sequence of integers that are \(1\) or \(0\). The **length** of a string refers to the number of integers in it.

As an explicit example, the binary string of length \(3\) are \( 000, 001, 010, 011\), \(100, 101, 110, 111 \).

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