Problem:
Score : 100 points

Problem Statement

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.

Sample Input 1

3
7
10

Sample Output 1

2

You can have 14 black squares in the grid by performing the "row" operation twice, on different rows.

Sample Input 2

14
12
112

Sample Output 2

8

Sample Input 3

2
100
200

Sample Output 3

2

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.io.*;
import java.math.*;
import java.util.*;
import java.util.stream.*;

class Main{
    public static void main(String[] args) throws IOException {
        int rows = receiveInt();
        int cols = receiveInt();
        int goal = receiveInt();

        int big = rows > cols ? rows : cols;
        int small = rows + cols - big;

        int ans = 0;
        for(int i = 0; i < big; i++) {
            goal -= big;
            ans++;
            if(goal <= 0) break;
        }
        
        println(ans);
        flush();
    }



    // 入出力関連
    static final BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    static final PrintWriter pw = new PrintWriter(System.out);
    enum Delimiter {
        NONE(""),
        SPACE(" "),
        DOT("\\."),
        COMMA(",");

        private String regex;
        private Delimiter(String regex) {
            this.regex = regex;
        }
        public String getRegex() { return regex; }
    }

    static String receive() throws IOException { return br.readLine(); }
    static int receiveInt() throws IOException { return Integer.parseInt(br.readLine()); }
    static char receiveChar() throws IOException { return  br.readLine().charAt(0); }
    static char[] receiveCharArray() throws IOException { return  br.readLine().toCharArray(); }
    static int[] receiveIntArray(Delimiter delimiter) throws IOException {
        return Stream.of(br.readLine().split(delimiter.getRegex())).mapToInt(Integer::parseInt).toArray();
    }
    static String[] receiveStringArray(Delimiter delimiter) throws IOException {
        return Stream.of(br.readLine().split(delimiter.getRegex())).toArray(String[]::new);
    }

    static void print(Object obj) { pw.print(obj); }
    static void println(Object obj) { pw.println(obj); }
    static void flush() { pw.flush(); }
}