You are given an array of size \(N\) and an integer \(K\). Your task is to find the largest subarray of the provided array such that the absolute difference between any two elements in the subarray is less than or equal to \(K\).

Let \(M\) and \(m\) be the maximum and minimum value in the selected largest subarray. Now, \(M-m\le k\) must hold.

Print the length of the largest subarray.

Input format

• The first line contains two integers \(N\) and \(K\).
• The next line contains \(K\) integers.

Output format

Print the answer as described in the problem statement.

Constraints

\(1\le N\le 10^6\)

\(1\le K\le 10^6\)

\(1\le Array Elements\le 10^6 \)