# Wonderful property usage

**Algebra**Level 4

Give that \(a\) and \(b\) are positive numbers such that their sum equals to 1, and denote \(m\) as the minimum value of \( \left(a + \frac1a\right)^2 + \left(b+\frac1b\right)^2 \). Find the value of \(\lfloor m \rfloor \).