Luntik came out for a morning stroll and found an array a of length n. He calculated the sum s of the elements of the array (s= ∑_{i=1}^{n} a_i). Luntik calls a subsequence of the array a nearly full if the sum of the numbers in that subsequence is equal to s-1.

Luntik really wants to know the number of nearly full subsequences of the array a. But he needs to come home so he asks you to solve that problem!

A sequence x is a subsequence of a sequence y if x can be obtained from y by deletion of several (possibly, zero or all) elements.

Input

The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases. The next 2 ⋅ t lines contain descriptions of test cases. The description of each test case consists of two lines.

The first line of each test case contains a single integer n (1 ≤ n ≤ 60) — the length of the array.

The second line contains n integers a_1, a_2, …, a_n (0 ≤ a_i ≤ 10^9) — the elements of the array a.

Output

For each test case print the number of nearly full subsequences of the array.

Example

Input


5
5
1 2 3 4 5
2
1000 1000
2
1 0
5
3 0 2 1 1
5
2 1 0 3 0


Output


1
0
2
4
4

Note

In the first test case, s=1+2+3+4+5=15, only (2,3,4,5) is a nearly full subsequence among all subsequences, the sum in it is equal to 2+3+4+5=14=15-1.

In the second test case, there are no nearly full subsequences.

In the third test case, s=1+0=1, the nearly full subsequences are (0) and () (the sum of an empty subsequence is 0).
  /* package codechef; // don't place package name! */
import java.util.*;
import java.lang.*;
import java.io.*;
import java.math.BigInteger;



public class hello
{
   static class Pair{
    int i=0;
    int j=0;
    int d=0;
    public Pair(int i,int j,int d)
    {
        this.i=i;
        this.j=j;
        this.d=d;
    }
}
     

     static class FastReader 
    { 
        BufferedReader br; 
        StringTokenizer st; 
  
        public FastReader() 
        { 
            try {
               br=new BufferedReader(new FileReader("input.txt"));
               PrintStream out= new PrintStream(new FileOutputStream("output.txt"));
               System.setOut(out);
            }
  
            // Catch block to handle the exceptions
            catch (Exception e) {
                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()); 
        } 
  
        long nextLong() 
        { 
            return Long.parseLong(next()); 
        } 
  
        double nextDouble() 
        { 
            return Double.parseDouble(next()); 
        } 
  
        String nextLine() 
        { 
            String str = ""; 
            try
            { 
                str = br.readLine(); 
            } 
            catch (IOException e) 
            { 
                e.printStackTrace(); 
            } 
            return str; 
        } 
    } 
     static int computeXOR(int n)
    {
        // If n is a multiple of 4
        if (n % 4 == 0)
            return n;
      
        // If n%4 gives remainder 1
        if (n % 4 == 1)
            return 1;
      
        // If n%4 gives remainder 2
        if (n % 4 == 2)
            return n + 1;
      
        // If n%4 gives remainder 3
        return 0;
    }
    public static void main (String[] args) throws java.lang.Exception
    {

       try{
        FastReader sc=new FastReader();
        BufferedWriter out = new BufferedWriter(
            new OutputStreamWriter(System.out));
        int t=sc.nextInt();
        while(t-->0)
        {
            int n  = sc.nextInt();
            int arr[] = new int[n];
            for(int i=0;i<n;i++)
                arr[i]=sc.nextInt();
            int count1=0;
            int count0=0;
            for(int i=0;i<n;i++)
                if(arr[i]==1)
                    count1++;
                else if(arr[i]==0)
                    count0++;

            long ans=0;
            while(count1-->0)
                ans+=Math.pow(2,count0);
            System.out.println(ans);
        }
    }catch(Exception e){
            return;
        }
    }
}