A15108 | Cirno's Perfect Bitmasks Classroom

Even if it's a really easy question, she won't be able to answer it

— Perfect Memento in Strict Sense



Cirno's perfect bitmasks classroom has just started!

Cirno gave her students a positive integer $x$ . As an assignment, her students need to find the minimum positive integer $y$ , which satisfies the following two conditions:

$$x\ \texttt{and}\ y > 0 $$

$$x\ \texttt{xor}\ y > 0 $$

Where $\texttt{and}$ is the [bitwise AND operation](https://en.wikipedia.org/wiki/Bitwise_operation#AND), and $\texttt{xor}$ is the [bitwise XOR operation](https://en.wikipedia.org/wiki/Bitwise_operation#XOR).

Among the students was Mystia, who was truly baffled by all these new operators. Please help her!

The first line of input contains a single integer $t$ ( $1 \leq t \leq 10^3$ ) — the number of input test cases.

For each test case, the only line of input contains one integer $x$ ( $1 \leq x \leq 2^{30}$ ).

For each test case, print a single integer — the minimum number of $y$ .