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 Python (3.8.2) (judge verdict: Wrong Answer)

import sys
anl= list(map(int,input().split()))
animals = anl[0]
legs = anl[1]
cranes = int()
turtles = int()
candt = cranes + turtles
if legs < animals:
    print("No")
    sys.exit()
cranes = 0
while cranes <= animals and turtles <= animals and turtles <= 100 and cranes <= animals:
  turtles = 0
  while turtles != (animals+1):
      totalLegs = (2*cranes) + (4*turtles)
      if totalLegs == legs:
          print("Yes")
          sys.exit()
      turtles += 1
      continue
  cranes += 1
if totalLegs != legs:
  print("No")