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;

public class Main {
	  
	public static void main(String args[]) {
		    Scanner scanner = new Scanner(System.in);
		    
		    int N = scanner.nextInt();
		    int[] array = new int[N];
		    int count4 = 0;
		    int count2 = 0;
		    
		    for( int i = 0; i < N; i++ ) 
		    {
		    	array[i] = scanner.nextInt();
		    	if( array[i] % 4 == 0 ) 
		    	{
		    		count4++;
		    	}
		    	else 
		    	{
		    		if( array[i] % 2 == 0 ) 
		    		{
		    			count2++;
		    		}
		    	}
		    }
		    if( N % 2 == 0 ) 
		    {
		    	if( count4 * 2 + count2 >= N ) 
		    	{
		    		System.out.println("Yes");
		    	}
		    	else 
		    	{
		    		System.out.println("No");
		    	}
		    }
		    else 
		    {
		    	if( count2 == 0 ) 
		    	{
		    		if( count4 >= N/2 ) 
		    		{
		    			System.out.println("Yes");
		    		}
		    		else 
		    		{
		    			System.out.println("No");
		    		}
		    	}
		    	else if(count2 == 1)
		    	{
		    		if( count4 + 3 >= N /2 + 2 ) 
		    		{
		    			System.out.println("Yes");
		    		}
		    		else 
		    		{
		    			System.out.println("No");
		    		}
		    	}
		    	else 
		    	{
		    		if( count4 * 2 + count2 >= N )
		    		{
		    			System.out.println("Yes");
		    		}
		    		else 
		    		{
		    			System.out.println("No");
		    		}
		    	}
		    	
		    }
		    scanner.close(); }
		  }