You are given n integers a_1, a_2, …, a_n. Find the maximum value of max(a_l, a_{l + 1}, …, a_r) ⋅ min(a_l, a_{l + 1}, …, a_r) over all pairs (l, r) of integers for which 1 ≤ l < r ≤ n.

Input

The first line contains a single integer t (1 ≤ t ≤ 10 000) — the number of test cases.

The first line of each test case contains a single integer n (2 ≤ n ≤ 10^5).

The second line of each test case contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 10^6).

It is guaranteed that the sum of n over all test cases doesn't exceed 3 ⋅ 10^5.

Output

For each test case, print a single integer — the maximum possible value of the product from the statement.

Example

Input


4
3
2 4 3
4
3 2 3 1
2
69 69
6
719313 273225 402638 473783 804745 323328


Output


12
6
4761
381274500335

Note

Let f(l, r) = max(a_l, a_{l + 1}, …, a_r) ⋅ min(a_l, a_{l + 1}, …, a_r).

In the first test case, 

  * f(1, 2) = max(a_1, a_2) ⋅ min(a_1, a_2) = max(2, 4) ⋅ min(2, 4) = 4 ⋅ 2 = 8. 
  * f(1, 3) = max(a_1, a_2, a_3) ⋅ min(a_1, a_2, a_3) = max(2, 4, 3) ⋅ min(2, 4, 3) = 4 ⋅ 2 = 8. 
  * f(2, 3) = max(a_2, a_3) ⋅ min(a_2, a_3) = max(4, 3) ⋅ min(4, 3) = 4 ⋅ 3 = 12. 



So the maximum is f(2, 3) = 12.

In the second test case, the maximum is f(1, 2) = f(1, 3) = f(2, 3) = 6.

/*
 
    /$$$$$  /$$$$$$  /$$    /$$  /$$$$$$                                                                  
   |__  $$ /$$__  $$ |$$    |$$ /$$__  $$                                                                 
          | $$| $$  \ $$|    $$|$$| $$  \ $$                                                                 
          | $$| $$$$$$$$|  $$ / $$/| $$$$$$$$                                                                 
/ $$  | $$| $$__  $$ \  $$ $$/ | $$__  $$                                                                 
| $$  | $$| $$  | $$  \  $$$/  | $$  | $$                                                                 
|  $$$$$$/| $$  | $$   \  $/   | $$  | $$                                                                 
 \______/ |__/  |__/    \_/    |__/  |__/    
 
/$$$$$$$  /$$$$$$$   /$$$$$$   /$$$$$$  /$$$$$$$   /$$$$$$  /$$      /$$ /$$      /$$ /$$$$$$$$ /$$$$$$$ 
| $$__  $$| $$__  $$ /$$__  $$ /$$__  $$| $$__  $$ /$$__  $$| $$$    /$$$| $$$    /$$$| $$_____/| $$__  $$
| $$  \ $$| $$  \ $$| $$  \ $$| $$  \__/| $$  \ $$| $$  \ $$| $$$$  /$$$$| $$$$  /$$$$| $$      | $$  \ $$
| $$$$$$$/| $$$$$$$/| $$  | $$| $$ /$$$$| $$$$$$$/| $$$$$$$$| $$ $$/$$ $$| $$ $$/$$ $$| $$$$$   | $$$$$$$/
| $$____/ | $$__  $$| $$  | $$| $$|_  $$| $$__  $$| $$__  $$| $$  $$$| $$| $$  $$$| $$| $$__/   | $$__  $$
| $$      | $$  \ $$| $$  | $$| $$  \ $$| $$  \ $$| $$  | $$| $$\  $ | $$| $$\  $ | $$| $$      | $$  \ $$
| $$      | $$  | $$|  $$$$$$/|  $$$$$$/| $$  | $$| $$  | $$| $$ \/  | $$| $$ \/  | $$| $$$$$$$$| $$  | $$
|__/      |__/  |__/ \______/  \______/ |__/  |__/|__/  |__/|__/     |__/|__/     |__/|________/|__/  |__/
                                                                                                                                                                                                                
                                                                                                                                                                                                                
 
*/

import java.util.*;
import java.lang.*;
import java.io.*;

public class Cherry {
    public static void main(String[] args) throws java.lang.Exception {
        // your code goes here
        try {
            // Scanner sc=new Scanner(System.in);
            FastReader sc = new FastReader();
            int t =sc.nextInt();
            ArrayList<Long> al=new ArrayList<>();
            while (t-- > 0) {
                int n=sc.nextInt();
                int[] arr=new int[n];
                int max=Integer.MIN_VALUE;
                for(int i=0;i<n;i++){
                    arr[i]=sc.nextInt();
                    max=Math.max(max,arr[i]);
                }
                Long ans=-1l;
                Long mans=-1l;
                for(int i=0;i<n;i++){
                    if(arr[i]==max){
                        ans=Math.max(Long.valueOf(max)*Long.valueOf(arr[i-1]),Long.valueOf(max)*Long.valueOf(arr[i+1]));
                        mans=Math.max(mans,ans);
                    }
                }
                al.add(mans);
                

            }
            for(long l:al){
                System.out.println(l);
            }
        } catch (Exception e) {
            return;
        }

    }
    

    static int BS(int[] arr, int l, int r, int element) {
        int low = l;
        int high = r;
        while (high - low > 1) {
            int mid = low + (high - low) / 2;
            if (arr[mid] < element) {
                low = mid + 1;
            } else {
                high = mid;
            }
        }
        if (arr[low] == element) {
            return low;
        } else if (arr[high] == element) {
            return high;
        }
        return -1;
    }

    static int lower_bound(int[] arr, int l, int r, int element) {
        int low = l;
        int high = r;
        while (high - low > 1) {
            int mid = low + (high - low) / 2;
            if (arr[mid] < element) {
                low = mid + 1;
            } else {
                high = mid;
            }
        }
        if (arr[low] >= element) {
            return low;
        } else if (arr[high] >= element) {
            return high;
        }
        return -1;
    }

    static int upper_bound(int[] arr, int l, int r, int element) {
        int low = l;
        int high = r;
        while (high - low > 1) {
            int mid = low + (high - low) / 2;
            if (arr[mid] <= element) {
                low = mid + 1;
            } else {
                high = mid;
            }
        }
        if (arr[low] > element) {
            return low;
        } else if (arr[high] > element) {
            return high;
        }
        return -1;
    }
    public static long gcd_long(long a,long b){
        //a/b,a-> dividant b-> divisor
        if(b==0)return a;
        return gcd_long(b, a%b);
    }
    public static int gcd_int(int a,int b){
        //a/b,a-> dividant b-> divisor
        if(b==0)return a;
        return gcd_int(b, a%b);
    }
    public static int lcm(int a,int b){
        int gcd=gcd_int(a, b);
        return (a*b)/gcd;
    }

    static class FastReader {
        BufferedReader br;
        StringTokenizer st;

        public FastReader() {
            br = new BufferedReader(new InputStreamReader(System.in));
        }

        String next() {
            while (st == null || !st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }

        int nextInt() {
            return Integer.parseInt(next());
        }

        String nextLine() {
            String s = "";
            try {
                s = br.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return s;
        }

        Long nextLong() {
            return Long.parseLong(next());
        }
    }
}

/*
 * public static boolean lie(int n,int m,int k){ if(n==1 && m==1 && k==0){
 * return true; } if(n<1 || m<1 || k<0){ return false; } boolean
 * tc=lie(n-1,m,k-m); boolean lc=lie(n,m-1,k-n); if(tc || lc){ return true; }
 * return false; }
 */
