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 C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include<bits/stdc++.h>
using namespace std;
//define
typedef pair<int,int>pi;
#define int long long
#define elif else if
#define rep(x,y) for(int i=x;i<y;i++)
#define REP(x,y) for(int j=x;j<y;j++)
#define Rep(x,y) for(int k=x;k<y;k++)
#define all(x) x.begin(),x.end()
#define pb push_back
#define vint vector<int>
#define vvint vector<vector<int>>
#define vtr vector<string>
#define vvtr vector<vector<string>>
#define vhar vector<char>
#define vvhar vector<vector<char>>
#define mod 100000007
#define elif else if
#define str string
int sum(int a){
  int b=0;
  while(a){
      b+=a%10;
      a/=10;
  }
  return b;
}
signed main(){
  int N,M,O,P=0,c=0,co=0,cou=0;
  double D,Do;
  char C,Ca;
  str S,T;
  cin>>N>>M>>O;
  while(1){
    c+=max(N,M);
    co++;
    if(O<=c){
      cout<<co<<endl;
      break;
    }
  }
}