Print Pattern Solution

Problem

Chef likes problems involving arrays. Unfortunately, the last one he tried to solve didn't quite get solved.

Chef has an array A of N positive numbers. He wants to find the number of subarrays for which the sum and product of elements are equal.

Please help Chef find this number.

Input

The first line of input contains an integer T denoting the number of test cases. T test cases follow. The first line of each test contains the integer N. The next line contains N integers — A1, A2, ..., AN — denoting the array.

Output

For each test case, output a single line with the answer for the instance.

Constraints

• 1 ≤ T ≤ 50
• 1 ≤ n ≤ 50
• 1 ≤ Ai ≤ 109
• A1 * A2 * ... * An ≤ 109

Sample 1:

Input

Output

3
3
1 3 2
4
4 1 2 1
6
1 2 2 2 2 1

4
5
9

Explanation:

Example case 1. There are 4 such subarrays: A[1..1], A[2..2], A[3..3], A[1..3]. Consider A[1..3], sum = 1 + 3 + 2 = 6, product = 1 * 3 * 2 = 6. /* package codechef; // don't place package name! */

Program :

import java.util.*;

import java.lang.*;

import java.io.*;

/* Name of the class has to be "Main" only if the class is public. */

class Codechef

{

public static void main (String[] args)

{

Scanner sc = new Scanner(System.in);

int t,n,i,j,r;

t = sc.nextInt();

while(t-->0)

{

    n = sc.nextInt();

    int arr[]=new int[n];

    r=0;

    for(i=0;i<n;i++)

      arr[i]=sc.nextInt();

    for(j=0;j<n;j++)

    {

      int s=arr[j],p=arr[j];

      for(i=j+1;i<n;i++)

      {

        s+=arr[i];

        p*=arr[i];

        if(s==p)

         r++;

      }

    }  

    System.out.println(n+r);

}

}

}