We use cookies to ensure you have the best browsing experience on our website. Please read our cookie policy for more information about how we use cookies.
  1. Permuting Two Arrays

Permuting Two Arrays

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:

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

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