You are given an array nums of length n. You are also given an integer k.

You perform the following operation on nums once:

Find the maximum frequency of the value k after the operation.

 

Example 1:

Input: nums = [1,2,3,4,5,6], k = 1

Output: 2

Explanation:

After adding -5 to nums[2..5], 1 has a frequency of 2 in [1, 2, -2, -1, 0, 1].

Example 2:

Input: nums = [10,2,3,4,5,5,4,3,2,2], k = 10

Output: 4

Explanation:

After adding 8 to nums[1..9], 10 has a frequency of 4 in [10, 10, 11, 12, 13, 13, 12, 11, 10, 10].

 

Constraints: