The package for this problem was not updated by the problem writer or Codeforces administration after we've upgraded the judging servers. To adjust the time limit constraint, a solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then the value 800 ms will be displayed and used to determine the verdict.

Unknown Language Round 1 |
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Finished |

The following languages are only available languages for the problems from the contest

Unknown Language Round 1:

- ActiveTcl 8.5

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*special problem

greedy

implementation

math

*1600

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C. Table

time limit per test

2 secondsmemory limit per test

64 megabytesinput

stdinoutput

stdoutThe 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

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