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>
#define rep(i,n)    for(long long i = 0; i < (n) ; ++i)
#define orep(i,n)   for(long long i = 1; i <= (n); ++i)   // one rep
#define drep(i,n)   for(long long i = (n)-1; i >= 0; --i) // down rep
#define srep(i,s,t) for(long long i = (s); i < (t); ++i)  // set rep
#define rng(x)  (x).begin(),(x).end()

  // range
#define rrng(a) (a).rbegin(),(a).rend() // reverse range
#define isin(x,l,r) ((l) <= (x) && (x) < (r))
#define ru(x,y) (((x)+(y)-1)/(y)) // round up
#define fi first
#define se second
#define eb emplace_back
#define fcout cout << fixed << setprecision(15)


using namespace std;
using ll  = long long;
using P   = pair<int,int>;
using vi  = vector<int>;
using vvi = vector<vi>;
using vp  = vector<P>;
using vl  = vector<ll>;

template<typename T> void Yes(T flag) {
  cout << (flag ? "Yes" : "No") << endl;
}

template<typename T> void pv(vector<T> vec) {
  cout << "[";
  for(auto& v : vec) { cout << v << ","; }
  cout << "]" << endl;
}

template<>
void pv(vector<P> vec) {
  cout << "[";
  for(auto& v : vec) {
    cout << "<" << v.fi << ","<< v.se << ">" << ",";
  }
  cout << "]" << endl;
}

template<typename T> void pv2(vector<vector<T>> vec) {
  for(auto& v : vec) pv(v);
}

int main() {
  int h,w,n;
  cin >> h >> w >> n;
  int paint=max(h,w);
  cout << ru(n,paint) << endl;

  return 0;
}