Power of 2 Problem Statement

Determine if it is possible to reorder the digits of a given integer 'N' such that the resulting number is a power of two. The leading digit must not be zero.

Input:

The first line contains an integer 'T', the number of test cases.
Each of the next 'T' lines contains a single integer 'N'.

Output:

For each test case, output 1 if it is possible to rearrange 'N' into a power of 2, otherwise output 0. Each result should be on a new line.

Example:

Input:

T = 1
N = 218

Output:

1

Explanation:

The number 218 can be rearranged to form 128, which is 2⁷.

Constraints:

• 1 <= T <= 10
• 0 <= N <= 10^9
• Time limit: 1 sec

Note:

No need to print the output; implement the function to return the result.