Problem:
Score : 100 points

Problem Statement

There is a right triangle ABC with ∠ABC=90°.

Given the lengths of the three sides, |AB|,|BC| and |CA|, find the area of the right triangle ABC.

It is guaranteed that the area of the triangle ABC is an integer.

Constraints

1 \leq |AB|,|BC|,|CA| \leq 100

All values in input are integers.

The area of the triangle ABC is an integer.

Input

Input is given from Standard Input in the following format:

|AB| |BC| |CA|

Output

Print the area of the triangle ABC.

Sample Input 1

3 4 5

Sample Output 1

6

This triangle has an area of 6.

Sample Input 2

5 12 13

Sample Output 2

30

This triangle has an area of 30.

Sample Input 3

45 28 53

Sample Output 3

630

This triangle has an area of 630.

Solution in C++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <iostream>
#include <algorithm>
#include <vector>
#include <map>
#include <string>
#include <cmath>
#include <iomanip>
#include <numeric>
#include <cmath>
#include <set>

using namespace std;

#define FOR(i, a, b) for (int i = (a); i < (b); i++)
#define rep(i, n) FOR(i, 0, n)
#define SORT(c) sort((c).begin(), (c).end())
#define INF (ll)1e18
#define MOD (ll)1e9 + 7
#define pb push_back

typedef long long ll;
typedef long long int llt;
typedef pair<int, int> P;
typedef vector<int> V;
typedef map<int, int> M;

char dif = 'A' - 'a';

int main()
{
    cin.tie(0);
    ios::sync_with_stdio(false);
	int a, b, c;
	cin >> a >> b >> c;
	int ma = max(a * b, b * c);
	ma = max(ma, c * a);
	cout << ma << endl;
	return 0;
}