# Reordered Power of 2

## Description

Starting with a positive integer `N`, we reorder the digits in any order (including the original order) such that the leading digit is not zero.

Return `true` if and only if we can do this in a way such that the resulting number is a power of 2.

1.

**Example 1:**

```
Input: 1
Output: true
```

**Example 2:**

```
Input: 10
Output: false
```

**Example 3:**

```
Input: 16
Output: true
```

**Example 4:**

```
Input: 24
Output: false
```

**Example 5:**

```
Input: 46
Output: true
```

**Note:**

1. `1 <= N <= 10^9`