Problem:
Score : 400 points

Problem Statement

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.

Sample Input 1

3
1 10 100

Sample Output 1

Yes

One solution is (1, 100, 10).

Sample Input 2

4
1 2 3 4

Sample Output 2

No

It is impossible to permute a so that the condition is satisfied.

Sample Input 3

3
1 4 1

Sample Output 3

Yes

The condition is already satisfied initially.

Sample Input 4

2
1 1

Sample Output 4

No

Sample Input 5

6
2 7 1 8 2 8

Sample Output 5

Yes

Solution in C# (Mono 4.6.2.0) (judge verdict: Wrong Answer)

using System;
using System.Collections;
using System.Collections.Generic;
using System.IO;
using System.Linq;
using System.Text;
using System.Text.RegularExpressions;

namespace AtCoder.ABC069
{
    class Program
    {
        static void Main()
        {
            int n = int.Parse(Console.ReadLine());
            int[] inputs = Console.ReadLine().Split(' ')
                        .Select(int.Parse)
                        .ToArray();
            int odd = 0, four = 0, even = 0;
            foreach (var item in inputs)
            {
                if (item % 4 == 0) four++;
                else if (item % 2 == 0) even++;
                else odd++;
            }
            string result = "No";
            if (Math.Abs(four - odd) == 0 || (even == 0 && Math.Abs(four - odd) == 1)) result = "Yes";
            Console.WriteLine(result);
        }
    }
}