[Porblem](http://codeforces.net/contest/514/problem/E)

Hi guys,


I think the solution provided for this problem is wrong. I solved this problem in two ways. I have given my solutions below. Please correct me if I am wrong.

Approach-1(recursion) 
-> Start with root 
-> form child nodes if(distance<x) and call this method for all new nodes
--> count the no of nodes
- 
**java code:**
****
import java.util.Arrays;
import java.util.Scanner;

public class maxtree {
	static int count=1;
public static void main(String args[]){
	Scanner sc=new Scanner(System.in);
	int n=sc.nextInt();
	int x=sc.nextInt();
	int[] d=new int[n];
	for(int i=0;i<n;i++){
		d[i]=sc.nextInt();
	}
	Arrays.sort(d);
	//System.out.println(n+x);
	node n2=new node(0);
	//n2.setDistance(0);
	build(n2,x,d);
	System.out.println(count);
}
public static void build(node n,int x,int[] d){
	int di=n.getDistance();
	if(di<x){
		//System.out.println(di);
		int dummy=x-di;
		int len=d.length;
		for(int i=0;i<len && dummy>=d[i];i++){
			n=new node(di+d[i]);
			//n.setDistance(di+d[i]);
			count++;
			//System.out.println(count);
			build(n,x,d);
		}
	}
}
}
class node{
	int distance=Integer.MAX_VALUE;
public node(int d){
	distance=d;
}
	public int getDistance() {
		return distance;
	}

	public void setDistance(int distance) {
		this.distance = distance;
	}
	
}

**Second approach(DP):**

-> take all distinct di and sort them 
- >Let the number of vertexes in the tree at distance from the root equal to at most x=no 
- >no(0)=1;
- >no(1)=2 if di contains 1
- >for(x=n), this no will be
-> no(n-d1)+no(n-d2)+no(n-d3)+...........till n>=di


**Java code:**

import java.util.Arrays;
import java.util.Scanner;

public class maxtree1 {
	//static int count=1;
public static void main(String args[]){
	Scanner sc=new Scanner(System.in);
	int n=sc.nextInt();
	int x=sc.nextInt();
	int[] d=new int[n];
	for(int i=0;i<n;i++){
		d[i]=sc.nextInt();
	}
	Arrays.sort(d);
	//System.out.println(n+x);
	long[] table=new long[x];
	if(d[0]==1){
		table[0]=2;
	}else{
		table[0]=1;
	}
	int count=0;
	for(int i=1;i<x;i++){
		count=1;
		for(int j=0;j<n && i+1>=d[j];j++){
			if(i+1!=d[j]){
			count+=table[i-d[j]];
			}else{
				count++;
			}
			table[i]=count;
		}
		System.out.println(table[i]);
	}
}
}