You are given an array of integers a_1,a_2,…,a_n. Find the maximum possible value of a_ia_ja_ka_la_t among all five indices (i, j, k, l, t) (i<j<k<l<t).

Input

The input consists of multiple test cases. The first line contains an integer t (1≤ t≤ 2 ⋅ 10^4) — the number of test cases. The description of the test cases follows.

The first line of each test case contains a single integer n (5≤ n≤ 10^5) — the size of the array.

The second line of each test case contains n integers a_1,a_2,…,a_n (-3× 10^3≤ a_i≤ 3× 10^3) — given array.

It's guaranteed that the sum of n over all test cases does not exceed 2⋅ 10^5.

Output

For each test case, print one integer — the answer to the problem.

Example

Input


4
5
-1 -2 -3 -4 -5
6
-1 -2 -3 1 2 -1
6
-1 0 0 0 -1 -1
6
-9 -7 -5 -3 -2 1


Output


-120
12
0
945

Note

In the first test case, choosing a_1,a_2,a_3,a_4,a_5 is a best choice: (-1)⋅ (-2) ⋅ (-3)⋅ (-4)⋅ (-5)=-120.

In the second test case, choosing a_1,a_2,a_3,a_5,a_6 is a best choice: (-1)⋅ (-2) ⋅ (-3)⋅ 2⋅ (-1)=12.

In the third test case, choosing a_1,a_2,a_3,a_4,a_5 is a best choice: (-1)⋅ 0⋅ 0⋅ 0⋅ (-1)=0.

In the fourth test case, choosing a_1,a_2,a_3,a_4,a_6 is a best choice: (-9)⋅ (-7) ⋅ (-5)⋅ (-3)⋅ 1=945.

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.*;

public class CodeForces extends Functions{
    static long res;
    public static void main(String[] args)  {
        Scanner sc = new Scanner();
        int testCase = sc.nextInt();
        while(testCase-->0){
            int n = sc.nextInt();
            int[] arr = sc.setIntegerArray(n);
            boolean is0=false;
            for(int ele : arr){
                if (ele == 0) {
                    is0 = true;
                    break;
                }
            }
            ArrayList<Integer> list = new ArrayList<>();
            sort(arr);
            for(int i=0;i<5;i++)list.add(arr[i]);
            int count = 0;
            for(int i=n-1;i>=5;i--){
                list.add(arr[i]);
                count++;
                if(count==5)break;
            }
             res = Long.MIN_VALUE;
            //System.out.println(list);
            if(is0)res = 0;
            findMaximumCombination(list,0 ,1L,0);
            System.out.println(res);

        }

    }

    private static void findMaximumCombination(ArrayList<Integer> list, int counter, long curr, int index) {
        if(counter==5){
            res = Math.max(res,curr);
            return;
        }
        if(index==list.size())return;
        findMaximumCombination(list,counter+1,curr*list.get(index),index+1);
        findMaximumCombination(list,counter,curr,index+1);
    }

}
class Scanner {
    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    StringTokenizer st = new StringTokenizer("");
    public String next(){
        while (!st.hasMoreTokens())
            try {
                st = new StringTokenizer(br.readLine());
            }catch (IOException e){
                e.printStackTrace();
            }
        return st.nextToken();

    }
    public int nextInt(){
        return Integer.parseInt(next());
    }
    public long nextLong(){
        return Long.parseLong(next());
    }
    public int[] setIntegerArray(int n){
        int[] arr =new int[n];
        for(int i=0;i<n;i++)arr[i] = nextInt();
        return arr;
    }
    public long[] setLongArray(int n){
        long[] arr =new long[n];
        for(int i=0;i<n;i++)arr[i] = nextLong();
        return arr;
    }
}
 class Functions {
    public static int mod = (int)1e9+7;
    public static void sort(int[] a){
        ArrayList<Integer> temp = new ArrayList<>();
        for (int j : a) temp.add(j);
        Collections.sort(temp);;
        for(int i=0;i<a.length;i++)a[i] = temp.get(i);
    }
    public static long factorial(int n){
        long fact = 1L;
        for(int i=2;i<=n;i++)fact=  (fact*i)%mod;
        return fact;
    }
    public static void sortRev(int[] a){
        sort(a);
        int left = 0;
        int right = a.length-1;
        while (left<right){
            int temp =a[left];
            a[left] = a[right];
            a[right] = temp;
            left++;
            right--;
        }
    }
}