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.