We have a grid with H rows and W columns, where all the squares are initially white.

You will perform some number of painting operations on the grid. In one operation, you can do one of the following two actions:

* Choose one row, then paint all the squares in that row black.
* Choose one column, then paint all the squares in that column black.



At least how many operations do you need in order to have N or more black squares in the grid? It is guaranteed that, under the conditions in Constraints, having N or more black squares is always possible by performing some number of operations.

Constraints

* 1 \leq H \leq 100
* 1 \leq W \leq 100
* 1 \leq N \leq H \times W
* All values in input are integers.

Input

Input is given from Standard Input in the following format:


H
W
N


Output

Print the minimum number of operations needed.

Examples

Input

3
7
10


Output

2


Input

14
12
112


Output

8


Input

2
100
200


Output

2
import java.io.BufferedInputStream;
import java.util.Arrays;
import java.util.Scanner;

public class Main {
    public static void main(String[] args) {
        //System.setIn(Main.class.getResourceAsStream("input"));
        Scanner sc = new Scanner(new BufferedInputStream(System.in));
        int h = sc.nextInt();
        int w = sc.nextInt();
        int n = sc.nextInt();
        int max = Math.max(w,h);
        int result = n/max + (n%max == 0 ? 0 : 1);
        System.out.println(result);
    }


    private static int nextInt(Scanner sc) {
        return Integer.valueOf(sc.nextLine());
    }
    private static int[] toArray(String text) {
        return Arrays.stream(text.split("\\s")).mapToInt(Integer::valueOf).toArray();
    }

}