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)

#include <stdio.h>

int main(void)
{
	int X, Y;
	int kame = 0, turu = 0;

	scanf("%d %d", &X, &Y);

	if (Y % 2 == 1)
	{
		printf("No\n");
		return (0);
	}

	while (1)
	{
		kame = Y / 4;
		if (Y % 4 == 2)
			turu++;
		if (kame + turu == X)
		{
			printf("Yes\n");
			break;
		}
		else if (X < kame + turu)
		{
			printf("No\n");
			break;
		}
		kame--;
		turu++;
		Y -= 2;
		if (kame < 0 || Y < 0)
		{
			printf("No\n");
			break;
		}
	}
	return (0);
}