Problem:
Score : 200 points

Problem Statement

There are some animals in a garden. Each of them is a crane with two legs or a turtle with four legs.

Takahashi says: "there are X animals in total in the garden, and they have Y legs in total." Determine whether there is a combination of numbers of cranes and turtles in which this statement is correct.

Constraints

1 \leq X \leq 100

1 \leq Y \leq 100

All values in input are integers.

Input

Input is given from Standard Input in the following format:

X Y

Output

If there is a combination of numbers of cranes and turtles in which the statement is correct, print Yes; otherwise, print No.

Sample Input 1

3 8

Sample Output 1

Yes

The statement "there are 3 animals in total in the garden, and they have 8 legs in total" is correct if there are two cranes and one turtle. Thus, there is a combination of numbers of cranes and turtles in which the statement is correct.

Sample Input 2

2 100

Sample Output 2

No

There is no combination of numbers of cranes and turtles in which this statement is correct.

Sample Input 3

1 2

Sample Output 3

Yes

We also consider the case in which there are only cranes or only turtles.

Solution in Java (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.util.Scanner;
import java.util.Arrays;
import java.util.ArrayList;
import java.util.*;
import java.util.List;
import java.lang.Math;
import java.util.HashMap;
public class Main {
	public static int useBs(int[] arr, int targetValue) {	
		int a =  Arrays.binarySearch(arr, targetValue);
		if(a >=0 && a<arr.length)
			return a;
		else
			return -1;
	}
	public static void printArray(int []a) {
		for(int i=0;i<a.length;i++) {
			System.out.println(a[i]+" ");
		}
		System.out.println();
	}
	public static void printArrayLong(long []a) {
		for(int i=0;i<a.length;i++) {
			System.out.println(a[i]+" ");
		}
		System.out.println();
	}
	static boolean isPalindrome(String s) {
		int l=s.length();
		for(int i=0;i<l/2;i++)
		{
			if(s.charAt(i)!=s.charAt(l-i-1))
				return false;
		}
		return true;
	}
	static String revString(String str)
	{
		return new StringBuffer(str).reverse().toString();
	}
	static String sortString(String s) {
		char a[]=s.toCharArray();
		Arrays.sort(a);
		return new String(a);
	}
	static int sumList(List<Integer>a) {
		return a.stream().mapToInt(Integer::intValue).sum();
	}
	static int sumArray(int []a) {
		int sum=0;
		for(int i=0;i<a.length;i++) {
			sum+=a[i];
		}
		return sum;
	}
    public static void main(String[]args) throws java.lang.Exception{
    	Scanner sc=new Scanner(System.in);
//    	int t=1;
//    	while(t-->0) {
//    		int a[]=new int[5],ans=0;
//    		for(int i=0;i<4;i++) {
//    			a[i]=sc.nextInt();
//    			if(a[i]==0)ans=i+1;
//    		}
//    		System.out.println(ans);
//    	}
    	int x=sc.nextInt();
    	boolean ans=true;
    	int y=sc.nextInt();
    	for(int i=x*2;i<x*4;i+=2) {
    		if(i==y) {
    			ans=true;
    		}else ans=false;
    	}
    	if(ans)System.out.println("Yes");
    	else System.out.println("No");
    }
}