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: Accepted)

// 問題の URL を書いておく
// 

#include <iostream>
#include <algorithm>
#include <vector>
#include <map>
#include <bitset>
#include <numeric>
using namespace std;

//#define ENABLE_PRINT

template<typename T>
T Input()
{
    T v;
    cin >> v;
    return v;
}

template<typename T>
vector<T> InputVector(int n)
{
    vector<T> v(n);
    for(int i = 0; i < n; ++i)
    {
        cin >> v[i];
    }
    return v;
}

template<typename T>
void InputArray(T* begin, int n)
{
    for(int i = 0; i < n; ++i)
    {
        cin >> begin[i];
    }
}

#if defined(ENABLE_PRINT)

#define Print(v) \
do {\
    cout << #v << ": " << v << endl; \
}while(0)

#define PrintVec(v) \
do {\
    for(int __i = 0; __i < v.size(); ++__i) \
    { \
        cout << #v << "[" << __i << "]: " << v[__i] << endl; \
    }\
}while(0)

#else

#define Print(v) ((void)0)
#define PrintVec(v) ((void)0)

#endif

#define rep(i, n) for(int i = 0; i < (int)(n); ++i)

int main(int, const char**)
{
    int x, y;
    cin >> x >> y;
    rep(i, x + 1)
    {
        auto a = i;
        auto b = x - i;
        if(a * 2 + 4 * b == y)
        {
            cout << "Yes" << endl;
            return 0;
        }
    }
    cout << "No" << endl;
}