Weight

Time Limit : 1 sec, Memory Limit : 65536 KB
Japanese version is here

Weight


Your grandmother is using a pair of scales. If you put objects which have the same weight on the two scalepans respectively, the scales keep balance. On the other hand, if you put objects which have different weight, the scales will tip to the heavier side.

There are ten weights of 1g, 2g, 4g, 8g, 16g, 32g, 64g, 128g, 256g, and 512g for the scale.

She said, "This scale can weigh in grams."

You said, "So, Can we weigh this juice?"

Then, grandmother put the juice on the left scalepan, and put weight of 8g, 64g, 128g on the right scalepan, and said "Sum of these weights is 200g, So, juice weighs 200g. Well, is it correct?"

Write a program which prints the weights on the right scalepan to weight a given object. Your program should print the weights in ascending order of their weight. You can assume that the weight of given object is less than or equal to 1023, the total weight of the weights.

Input

There are several test cases. Each test case consists of the weight of object which is put on the left scalepan. The input terminates with EOF. The number of test cases is less than or equal to 50.

Output

For each test case print weights on the right scalepan. Adjacent weight should be separated by a space

Sample Input

5
7
127

Output for the Sample Input

1 4
1 2 4
1 2 4 8 16 32 64

Hint

The weight of the weight is 2n (n = 0, 1, .... 9)g.


Source: PC Koshien 2004 , All-Japan High School Programming Contest, Aizu-Wakamatsu, Japan, 2004
http://www.pref.fukushima.jp/pc-concours/