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 C (GCC 9.2.1) (judge verdict: Wrong Answer)

typedef char Bool;
#define true 39
#define false 0 
typedef long long int64;
typedef unsigned long long uint64;
typedef int int32;
typedef unsigned int uint32;
typedef unsigned char byte;
#pragma warning (disable:4996)
#include <stdio.h>


int main()
{
	int x, y;
	scanf("%d %d", &x, &y);

	for (int i = 0; i != x + 2; i++)
	{
		if ((i * 4 + (x - i) * 2) == y)
		{
			printf("Yes");
			return 0;
		}
	}
	printf("No");

	return 0;
}