Measuring the area of a certain shape is an important part of certain geometric problems.

For a point $A(x,y)$ on the plane, we define the $F(x,y)$ as $|x| \times |y|$, which means the area of the rectangle with the vertex $(x,0),(0,y),(0,0),(x,y)$.

You are given $n \times m$ vertex with integral coordinates in the form of $(i,j)$, and $1\leq i \leq n,1\leq j\leq m$. You need to find the K-th biggest value of $F(i,j)$, when $1\leq i \leq n,1\leq j\leq m$. It's guranteed that $K\leq n \times m$.

Three integers $n,m,K \ (1\leq n,m,K\leq 10^6)$.

One integer, the K-th biggest value of $F(i,j)$.

In this example, the values of all $F(i,j)$ are $1,2,2,3,3,4,6,6,9$.

So the 4-th biggest value of $F(i,j)$ is 4.