Problem: You are a coach at your local university. There are n students under your supervision, the programming skill of the i-th student is a_i.

You have to create a team for a new programming competition. As you know, the more students some team has the more probable its victory is! So you have to create a team with the maximum number of students. But you also know that a team should be balanced. It means that the programming skill of each pair of students in a created team should differ by no more than 5.

Your task is to report the maximum possible number of students in a balanced team.

Input

The first line of the input contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the number of students.

The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9), where a_i is a programming skill of the i-th student.

Output

Print one integer — the maximum possible number of students in a balanced team.

Examples

Input


6
1 10 17 12 15 2


Output


3


Input


10
1337 1337 1337 1337 1337 1337 1337 1337 1337 1337


Output


10


Input


6
1 1000 10000 10 100 1000000000


Output


1

Note

In the first example you can create a team with skills [12, 17, 15].

In the second example you can take all students in a team because their programming skills are equal.

In the third example you can create a team consisting of a single student (and you cannot create a team consisting of at least two students).

Solution (in PYTHON3):

Solution:
n = int(input());
a = list(map(int, input().split()));

if (n==1): print(1);
else:
    a = sorted(a);
    z = 0; 
    for i in range(n-1):
        if (i+z>=n): break;
        if (a[i+z]-a[i]>5): continue;
        j=i+z;
        while (j<n):
            if (a[j]-a[i]>5): break;
            j+=1;
        z = j-i;
        if (j==n): break;
        #broken = False;
        #for j in range(i+1,n):
        #    if (a[j]-a[i]>5):
        #        broken = True; break;
        #if not broken:
        #    #print(i);
        #    z = max(z,n-i);
        #    break;
        #if (j-i)>z:
        #    z = j-i;
    print(z);