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 Go (1.14.1) (judge verdict: Accepted)

package main

import (
	"bufio"
	"fmt"
	"os"
	"strconv"
)

func main() {
	var X, Y int
	var err error
	var target int

	scanner := bufio.NewScanner(os.Stdin)

	scanner.Split(bufio.ScanWords)

	scanner.Scan()
	X, err = strconv.Atoi(scanner.Text())

	if err != nil {
		panic(err)
	}

	scanner.Scan()
	Y, err = strconv.Atoi(scanner.Text())

	if err != nil {
		panic(err)
	}

	for i := 0; i < X+1; i++ {
		target = i*2 + (X-i)*4
		if Y == target {
			fmt.Println("Yes")
			os.Exit(0)
		}
	}

	fmt.Println("No")
}