Associated Course(s):
Must Do Interview Preparation
Sudo Placement 2019

You are given two arrays,** A** and **B**, of equal size **N**. The task is to find the minimum value of A[0] * B[0] + A[1] * B[1] +…+ A[N-1] * B[N-1], where shuffling of elements of arrays A and B is allowed.

**Input:**

The first line of input contains an integer **T** denoting the no of test cases. Then** T** test cases follow. Each test case contains three lines. The first line contains an integer **N** denoting the size of the arrays. In the second line are N space separated values of the array **A[]**, and in the last line are N space separated values of the array **B[]**.

**Output:**

For each test case, print the minimum sum.

**Constraints:**

1 <= T <= 100

1 <= N <= 10^{7}

1 <= A[] <= 10^{18}

**Example:
Input:**

2

3

3 1 1

6 5 4

5

6 1 9 5 4

3 4 8 2 4

23

80

**Explanation:**

**For testcase1**: 1*6+1*5+3*4 = 6+5+12 = 23 is the minimum sum

**For testcase2**: 2*9+3*6+4*5+4*4+8*1 =18+18+20+16+8 = 80 is the minimum sum

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