  We show that for every complete Riemannian surface $M$ diffeomorphic to a
sphere with $k \geq 0$ holes there exists a Morse function $f:M \rightarrow
\mathbb{R}$, which is constant on each connected component of the boundary of
$M$ and has fibers of length no more than $52 \sqrt{Area(M)}+length(\partial
M)$. We also show that on every 2-sphere there exists a simple closed curve of
length $\leq 26 \sqrt{Area(S^2)}$ subdividing the sphere into two discs of area
$\geq \frac{1}{3}Area(S^2)$
