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