Teacher's Fun

After correcting a test given to his students, a teacher was bored and wanted to know the maximum number of students that had scores equal or close to others by a maximum of one point:

Considering an array of $n$ scores, scores, a number $m$ is defined as the size of some subsequence, $s,$ of scores where each element covers an unbroken range of integers. That is to say, if you were to sort the elements in $s,$ the absolute difference between any elements $j$ and $j+1$ would be either $0$ or $1.$ Determine the maximum length of a subsequence chosen from the scores array.

Example

scores $=[8,5,4,8,4]$

Valid subsequences, sorted, are $\{4,4,5\}$ and $\{8,8\}.$ These subsequences have $m$ values of $3$ and $2,$ respectively. Return $3.$

Function Description

Complete the function maxSubsequence in the editor below.

Language Java $8$

Autocomplete F

$1>$ import

java.io$.*$;

class Result $f$

$1**$

Complete the 'maxsubsequence' function below.

The function is expected to return an INTEGER.

The function accepts INTEGER$\_$ARRAY scores as parameter.

$*1$

pubtic static int maxsubsequence$($List