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>
#include <stdlib.h>
#include <math.h>
#include <string.h>
#include <ctype.h>
#include <time.h>
#define findmax(a,b) (a)>(b)?(a):(b)
#define findmin(a,b) (a)<(b)?(a):(b)
#define inout freopen("in.txt","r",stdin);freopen("out.txt","w",stdout)
#define swap(a,b) (a)+=(b);(b)=(a)-(b);(a)-=(b)
#define quicksort(a,n) qsort(a,n,sizeof(a[0]),cmp)
#define inputarr(a,n) for(int i=0;i<n;i++){scanf("%d",&a[i]);}
#define printarr(a,n) for(int i=0;i<n;i++){printf("%d ",a[i]);}puts("");
int cmp(const void *a,const void *b){return *(int *)a - *(int *)b;}


int main() {
    
	//inout;

	int x, y;

	scanf("%d%d", &x, &y);

	for(int i = 0; i <= x; i++){
		int res = i * 2 + ((x - 1) * 4);
		if(res == y){
			puts("Yes");
			return 0;
		}
	}
	puts("No");

}