Double Pair Array

medium
1. You are given an array(arr) of integers with even length N.
2. You have to tell if it is possible to re-order the given array such that for every i in range [0,N/2)
   arr[2*i + 1] = 2 * arr[2*i], this condition holds true.

Input Format

A number N arr1 arr2.. N numbers

Output Format

true/false

Constraints

1 <= N <= 10^4
-10^5 <= arr[i] <= 10^5

Example

Input
4
3 1 3 6
Output
false
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