We have a sequence of length N, a = (a_1, a_2, ..., a_N). Each a_i is a positive integer.

Snuke's objective is to permute the element in a so that the following condition is satisfied:

* For each 1 ≤ i ≤ N - 1, the product of a_i and a_{i + 1} is a multiple of 4.



Determine whether Snuke can achieve his objective.

Constraints

* 2 ≤ N ≤ 10^5
* a_i is an integer.
* 1 ≤ a_i ≤ 10^9

Input

Input is given from Standard Input in the following format:


N
a_1 a_2 ... a_N


Output

If Snuke can achieve his objective, print `Yes`; otherwise, print `No`.

Examples

Input

3
1 10 100


Output

Yes


Input

4
1 2 3 4


Output

No


Input

3
1 4 1


Output

Yes


Input

2
1 1


Output

No


Input

6
2 7 1 8 2 8


Output

Yes

import java.util.Scanner;

class Main{
        public static void main(String[] args){
                Scanner scanner=new Scanner(System.in);
                int two=0;
                int four=0;
                int j=0;
                int n=scanner.nextInt();
                for(int i=0;i<n;i++){
                        j=scanner.nextInt();
                        if(j%2==0){
                                two++;
                                if(j%4==0){
                                        four++;
                                }
                        }
                }
                two-=four;
                /*
                if(two==0){
                        if(four!=0){
                                four=four*2+1;
                        }
                }else{
                        if(four!=0){
                                four*=2;
                        }
                }
                if(two<2){
                        two=0;
                }
                if(n>two+four){
                        System.out.println("No");
                }else{
                }
                */

                if(two==0){
                        if((n-four)>four+1){
                                System.out.println("No");
                        }else{
                                System.out.println("Yes");
                        }
                }else{
                        if((n-two-four)>four){
                                System.out.println("No");
                        }else{
                                System.out.println("Yes");
                        }
                }

        }
}
