Problem:
Score : 200 points

Problem Statement

Given are integers a,b,c and d.
If x and y are integers and a \leq x \leq b and c\leq y \leq d hold, what is the maximum possible value of x \times y?

Constraints

-10^9 \leq a \leq b \leq 10^9

-10^9 \leq c \leq d \leq 10^9

All values in input are integers.

Input

Input is given from Standard Input in the following format:

a b c d

Output

Print the answer.

Sample Input 1

1 2 1 1

Sample Output 1

2

If x = 1 and y = 1 then x \times y = 1.
If x = 2 and y = 1 then x \times y = 2.
Therefore, the answer is 2.

Sample Input 2

3 5 -4 -2

Sample Output 2

-6

The answer can be negative.

Sample Input 3

-1000000000 0 -1000000000 0

Sample Output 3

1000000000000000000

Solution in C++ (GCC 9.2.1) (judge verdict: Accepted)

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define FOR(i, a, n) for (ll i = (ll)a; i < (ll)n; i++)
#define RFOR(i, a, n) for (ll i = (ll)n - 1; i >= (ll)a; i--)
#define rep(i, n) FOR(i, 0, n)
#define rrep(i, n) RFOR(i, 0, n)
#define ALL(v) v.begin(), v.end()
#define bra(first, second) '(' << first << ',' << second << ')'
constexpr ll MOD = 1000000007;
//constexpr ll MOD = 998244353;
ll INF = 1001001001001001001;
long double EPS = 1e-9;
long double PI = 3.141592653589793238;
template <typename T>
void remove(std::vector<T> &vector, unsigned int index)
{
   vector.erase(vector.begin() + index);
}

using Graph = vector<vector<pair<ll,ll>>>;

// MOD確認

int main(){
   ll a,b,c,d;
   cin >> a >> b >> c >> d;
   cout << max({a*c,a*d,b*c,b*d}) << endl;
}