Problem:
Score : 400 points

Problem Statement

You are given a sequence A_1, A_2, ..., A_N and an integer K.

Print the maximum possible length of a sequence B that satisfies the following conditions:

B is a (not necessarily continuous) subsequence of A.

For each pair of adjacents elements of B, the absolute difference of the elements is at most K.

Constraints

1 \leq N \leq 300,000

0 \leq A_i \leq 300,000

0 \leq K \leq 300,000

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N K
A_1
A_2
:
A_N

Output

Print the answer.

Sample Input 1

10 3
1
5
4
3
8
6
9
7
2
4

Sample Output 1

7

For example, B = (1, 4, 3, 6, 9, 7, 4) satisfies the conditions.

It is a subsequence of A = (1, 5, 4, 3, 8, 6, 9, 7, 2, 4).

All of the absolute differences between two adjacent elements (|1-4|, |4-3|, |3-6|, |6-9|, |9-7|, |7-4|) are at most K = 3.

Solution in Java (OpenJDK 11.0.6) (judge verdict: Wrong Answer)

import java.io.DataInputStream;
import java.io.FileInputStream;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.Scanner;
import java.util.StringTokenizer;
import java.io.BufferedReader;
import java.util.*;
import java.math.BigInteger;


public class Main{
    public static FastReader fs = new FastReader();

    static PrintWriter out = new PrintWriter(System.out);

    static class Tree{
        int size;
        int[] t;
        int n;
        Tree(int n){
            size = 4*n+4;
            t = new int[size];
            this.n = n;
        }
        void update(int idx,int val){
            update(1,0,n-1,idx,val);
        }
        void update(int v,int tl,int tr,int pos,int val){
            if(tl == pos && tr == pos){
                t[v] = max(t[v],val);
                return;
            }
            int mid = tl + (tr- tl) / 2;
            if(pos <= mid)
                update(2*v,tl,mid,pos,val);
            else
                update(2*v+1,mid+1,tr,pos,val);
            t[v] = max(t[2*v],t[2*v+1]);
        }
        int query(int v,int tl,int tr,int ql,int qr){
            if(ql > qr || tr < ql || tl > qr)
                return -1;
            if(tl >= ql && tr <= qr)
                return t[v];
            int mid = tl + (tr - tl) / 2;
            return max(query(2*v,tl,mid,ql,qr),query(2*v+1,mid+1,tr,ql,qr));
        }
        int query(int l,int r){
            return query(1,0,n-1,l,r);
        }
    }

    static void solve() {
        int n = fs.nextInt(),k = fs.nextInt();
        int mx = -1;
        int[]a = new int[n];
        for(int i = 0; i<n; i++){
            a[i] = fs.nextInt();
            mx = max(mx,a[i]);
        }
        Tree seg = new Tree(mx+k+1);
        int ans = 0;
        seg.update(a[n-1],1);
        for(int i = n-1; i>=0; i--){
            int temp = max(seg.query(a[i]+1,a[i]+k),seg.query(max(0,a[i]-k),a[i]-1));
            ans = max(ans,temp+1);
            seg.update(a[i],temp+1);
        }
        out.println(ans);
    }

    public static void main(String[] args) {
        Thread t = new Thread(null,null,"",1 << 28) {
            public void run() {
                int test_case = 1;
                //test_case = fs.nextInt();
                for(int cs = 1; cs <= test_case; cs++) {
                    solve();
                }
                out.close();
            }
        };
        t.start();
        try {
            t.join();
        } catch (InterruptedException e) {
            e.printStackTrace();
        }
    }
    static class FastReader
    {
        BufferedReader br;
        StringTokenizer st;

        public FastReader()
        {
            br = new BufferedReader(new
                    InputStreamReader(System.in));
        }

        String next()
        {
            while (st == null || !st.hasMoreElements())
            {
                try
                {
                    st = new StringTokenizer(br.readLine());
                }
                catch (IOException  e)
                {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }

        int nextInt()
        {
            return Integer.parseInt(next());
        }

        long nextLong()
        {
            return Long.parseLong(next());
        }

        double nextDouble()
        {
            return Double.parseDouble(next());
        }

        String nextLine()
        {
            String str = "";
            try
            {
                str = br.readLine();
            }
            catch (IOException e)
            {
                e.printStackTrace();
            }
            return str;
        }

        int [] readintarray(int n) {
            int res [] = new int [n];
            for(int i = 0; i<n; i++)res[i] = nextInt();
            return res;
        }
        long [] readlongarray(int n) {
            long res [] = new long [n];
            for(int i = 0; i<n; i++)res[i] = nextLong();
            return res;
        }
    }

    static int ceil(int x,int y) {
        return (x % y == 0 ? x / y : (x / y +1));
    }

    static long ceil(long x,long y) {
        return (x % y == 0 ? x / y : (x / y +1));
    }

    static int max(int x,int y) {
        return Math.max(x, y);
    }

    static int min(int x,int y) {
        return Math.min(x, y);
    }

    static long max(long x,long y) {
        return Math.max(x, y);
    }

    static long min(long x,long y) {
        return Math.min(x, y);
    }

    static int min(int a []) {
        int x = 1_000_000_00_9;
        for(int i = 0; i<a.length; i++)x = min(x,a[i]);
        return x;
    }

    static int max(int a []) {
        int x = -1_000_000_00_9;
        for(int i = 0; i<a.length; i++)x = max(x,a[i]);
        return x;
    }

    static long min(long a []) {
        long x = (long)3e18;
        for(int i = 0; i<a.length; i++)x = min(x,a[i]);
        return x;
    }

    static long max(long a []) {
        long x = -(long)3e18;
        for(int i = 0; i<a.length; i++)x = max(x,a[i]);
        return x;
    }

    static int power(int x,int y) {
        int res = 1;
        while(y > 0) {
            if( y % 2 == 1)res = (res * x);
            y >>= 1;
            x = (x * x);
        }
        return res;
    }

    static long power(long x,long y) {
        long res = 1;
        while(y > 0) {
            if( y % 2 == 1)res = (res * x);
            y >>= 1;
            x = (x * x);
        }
        return res;
    }

    static long power(long x,long y,long mod) {
        long res = 1;
        x %= mod;
        while(y > 0) {
            if( y % 2 == 1)res = (res * x) % mod;
            y >>= 1;
            x = (x * x) % mod;
        }
        return res;
    }

    static void intsort(int [] a) {
        List<Integer> temp = new ArrayList<Integer>();
        for(int i = 0; i<a.length; i++)temp.add(a[i]);
        Collections.sort(temp);
        for(int i = 0; i<a.length; i++)a[i] = temp.get(i);
    }

    static void longsort(long [] a) {
        List<Long> temp = new ArrayList<Long>();
        for(int i = 0; i<a.length; i++)temp.add(a[i]);
        Collections.sort(temp);
        for(int i = 0; i<a.length; i++)a[i] = temp.get(i);
    }

    static void reverseintsort(int [] a) {
        List<Integer> temp = new ArrayList<Integer>();
        for(int i = 0; i<a.length; i++)temp.add(a[i]);
        Collections.sort(temp);
        Collections.reverse(temp);
        for(int i = 0; i<a.length; i++)a[i] = temp.get(i);
    }

    static void reverselongsort(long [] a) {
        List<Long> temp = new ArrayList<Long>();
        for(int i = 0; i<a.length; i++)temp.add(a[i]);
        Collections.sort(temp);
        Collections.reverse(temp);
        for(int i = 0; i<a.length; i++)a[i] = temp.get(i);
    }


    static void intervalsort(int a [],int start,int end) {
        ArrayList<Integer> temp = new ArrayList<>();
        for(int i = start; i<end; i++)
            temp.add(a[i]);
        Collections.sort(temp);
        for(int i = 0; i<temp.size(); i++)
            a[i+start] = temp.get(i);
    }

    static void intervalsort(long a [],int start,int end) {
        ArrayList<Long> temp = new ArrayList<>();
        for(int i = start; i<end; i++)
            temp.add(a[i]);
        Collections.sort(temp);
        for(int i = 0; i<temp.size(); i++)
            a[i+start] = temp.get(i);
    }

    static void reverseintervalsort(int a [],int start,int end) {
        ArrayList<Integer> temp = new ArrayList<>();
        for(int i = start; i<end; i++)
            temp.add(a[i]);
        Collections.sort(temp);
        Collections.reverse(temp);
        for(int i = 0; i<temp.size(); i++)
            a[i+start] = temp.get(i);
    }

    static void reverseintervalsort(long a [],int start,int end) {
        ArrayList<Long> temp = new ArrayList<>();
        for(int i = start; i<end; i++)
            temp.add(a[i]);
        Collections.sort(temp);
        Collections.reverse(temp);
        for(int i = 0; i<temp.size(); i++)
            a[i+start] = temp.get(i);
    }
}