Given a matrix of integers with $n$ rows and $m$ columns. Rows are numbered from $1$ to $n$ from top to bottom. Columns are numbered from $1$ to $m$ from left to right. The value of the integer at row $i$ and column $j$ is the product $i\times j$. Gather all the numbers in the matrix and sort them in ascending order. Find the $k$-th integer in the sorted sequence.

Input

• Three integers $n$, $m$, $k$ separated by a space $(1\le n,m\le 1000;1\le k\le n\times m)$.

Output

• The $k$-th integer after sorting all the numbers in the matrix.

Sample Input

2 3 4

Sample Output

3