There are two -element arrays of integers, and . Permute them into some and such that the relation holds for all where .

There will be queries consisting of , , and . For each query, return `YES`

if some permutation , satisfying the relation exists. Otherwise, return `NO`

.

**Example**

A valid is and : and . Return `YES`

.

**Function Description**

Complete the *twoArrays* function in the editor below. It should return a string, either `YES`

or `NO`

.

twoArrays has the following parameter(s):

*int k:*an integer*int A[n]:*an array of integers*int B[n]:*an array of integers

**Returns**

- *string:* either `YES`

or `NO`

**Input Format**

The first line contains an integer , the number of queries.

The next sets of lines are as follows:

- The first line contains two space-separated integers and , the size of both arrays and , and the relation variable.
- The second line contains space-separated integers .
- The third line contains space-separated integers .

**Constraints**

**Sample Input**

```
STDIN Function
----- --------
2 q = 2
3 10 A[] and B[] size n = 3, k = 10
2 1 3 A = [2, 1, 3]
7 8 9 B = [7, 8, 9]
4 5 A[] and B[] size n = 4, k = 5
1 2 2 1 A = [1, 2, 2, 1]
3 3 3 4 B = [3, 3, 3, 4]
```

**Sample Output**

```
YES
NO
```

**Explanation**

There are two queries:

Permute these into and so that the following statements are true:

, , and . To permute and into a valid and , there must be at least three numbers in that are greater than .