# Binary Numbers

Time Limit: 1 Second Memory Limit: 32768 KB

Given a positive integer n, print out the positions of all 1's in its binary representation. The position of the least significant bit is 0.

**Example**

The positions of 1's in the binary representation of 13 are 0, 2, 3.

**Task**

Write a program which for each data set:

reads a positive integer n,

computes the positions of 1's in the binary representation of n,

writes the result.

## Input

The first line of the input contains exactly one positive integer d equal to
the number of data sets, 1 <= d <= 10. The data sets follow.

Each data set consists of exactly one line containing exactly one integer n,
1 <= n <= 10^6.

## Output

The output should consists of exactly d lines, one line for each data set.

Line i, 1 <= i <= d, should contain increasing sequence of integers separated
by single spaces - the positions of 1's in the binary representation of the
i-th input number.

## Sample Input

1 13

## Sample Output

0 2 3Submit

Source: Central Europe 2001, Practice