Given a table $A$ consisting of $n$ rows and $m$ columns, where each element at row $i$, column $j$ is $i \times j$ ($A_{i, j} = i \times j$). Rows are numbered from $1$ to $n$, and columns are numbered from $1$ to $m$.
If all elements in the table are sorted in non-decreasing order, what is the value of the $k$-th element?
### Input
- The first line contains three integers $n, m, k$.
### Output
- Print the value of the $k$-th element.
### Constraints
- $1 \le n, m \le 10^5$.
- $1 \le k \le n \times m$.
### Sample
Input:
```
3 3 6
```
Output:
```
4
```
