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.*;

public class Main {
    public static void main(String[] args) {
        int h;
        int w;
        int n;

        try (InputScanner is = new InputScanner(System.in)) {
            h = is.ni();
            w = is.ni();
            n = is.ni();
        }
        if (h > w) {
            System.out.println((n + (h - 1)) / h);
        } else {
            System.out.println((n + (w - 1)) / w);
        }

    }

    //-------------------------------------------------------------------
    public static class InputScanner implements Closeable {
        private final BufferedReader br;
        private String[] element;
        private int elementIndex;

        public InputScanner(InputStream is) {
            this.br = new BufferedReader(new InputStreamReader(is));
        }

        public String next() {
            return this.nextElement();
        }

        //next int
        public int ni() {
            return Integer.parseInt(this.nextElement());
        }

        //next long
        public long li() {
            return Long.parseLong(this.nextElement());
        }

        //next int array
        public int[] nia(int n) {
            int[] arr = new int[n];
            for (int i = 0; i < n; i++) {
                arr[i] = this.ni();
            }
            return arr;
        }

        private void readLine() {
            try {
                this.element = this.br.readLine().split("\\s");
            } catch (IOException e) {
                e.printStackTrace();
            }
            this.elementIndex = 0;
        }

        private String nextElement() {
            if (!hasElement()) {
                this.readLine();
            }
            return this.element[this.elementIndex++];
        }

        private boolean hasElement() {
            return this.element != null && this.element.length > this.elementIndex;
        }

        @Override
        public void close() {
            if (this.br != null) {
                try {
                    this.br.close();
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
        }
    }
//-------------------------------------------------------------------
}
