Problem Description
After the Ferries Wheel, many friends hope to receive the Misaki's kiss again,so Misaki numbers them 1,2...N−1,N,if someone's number is M and satisfied the GCD(N,M) equals to N XOR M,he will be kissed again.
Please help Misaki to find all M(1<=M<=N).
Note that:
GCD(a,b) means the greatest common divisor of a and b.
A XOR B means A exclusive or B
Input
There are multiple test cases.
For each testcase, contains a integets N(0<N<=1010)
Output
For each test case,
first line output Case #X:,
second line output k means the number of friends will get a kiss.
third line contains k number mean the friends' number, sort them in ascending and separated by a space between two numbers
Sample Input
3
5
15
Sample Output
Case #1:
1
2
Case #2:
1
4
Case #3:
3
10 12 14
