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)

//“ In order to be irreplaceable, one must always be different”
#include<bits/stdc++.h>
using namespace std;
#define ll long long
# define pi 3.14159265359
# define str string
# define vll vector<ll>
# define vstr vector<str>
# define vchar vector<char>
//assign() assignes new value
//emplace(position,x) inserting
//erase(position) to remove an element
//swap() for swapping
//reverse(position,position) for reversing
# define pb push_back
# define popb pop_back
# define pf push_front
# define popf pop_front
# define sll set<ll>
# define schar set<char>
//find()
//erase(x) removes element x
//erase(position,position)
# define qll queue<ll>
# define qstr queue<str>
//front(),back()
# define stll stack<ll>
# define ststr stack<str>
//top()
# define dll deque<ll>
//at()
# define mll map<ll,ll>
#define mchar map<char, ll>
# define mstr map<str,ll>
# define mss map<str,str>
# define mci map<char,ll>
ll gcd(ll a, ll b) 
{ 
    if (b == 0) 
        return a; 
    return gcd(b, a % b);  
      
} 
ll lcm(ll a, ll b)  
{  
    return (a*b)/gcd(a, b);  
}

int main(){
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    ll x,y,z;
    cin>>x>>y>>z;
    if(x>y){
        ll m=ceil(double(z)/double(x));
        cout<<m<<endl;
    }
    else{
         ll m=ceil(double(z)/double(y));
        cout<<m<<endl;
    }
   
 
}