The integer numbers from 1 to nm was put into rectangular table having n rows and m columns. The numbers was put from left to right, from top to bottom, i.e. the first row contains integers 1, 2, ..., m, the second — m + 1, m + 2, ..., 2 * m and so on.

After it these numbers was written on the paper in another order: from top to bottom, from left to right. First, the numbers in the first column was written (from top to bottom) and so on.

Print the k-th number on the paper.

Input

The only line in the input contains three integer numbers n, m and k (1 ≤ n, m ≤ 20000, 1 ≤ k ≤ nm).

Output

Print the required number.

Examples

Input

3 4 11


Output

8


Input

20000 10000 200000000


Output

200000000

Source: codeforces | Difficulty: MEDIUM_HARD
Tags: Mathematics

Implementation

Greedy algorithms


Solutions: