Problem1112--2^x mod n = 1

1112: 2^x mod n = 1

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Time Limit : 1 sec  Memory Limit : 128 MB

Solved: 27Submit: 55Statistics

Description

Give a number n, find the minimum x that satisfies 2^x mod n = 1.

Input

One positive integer on each line, the value of n.


Output

If the minimum x exists, print a line with 2^x mod n = 1.

Print 2^? mod n = 1 otherwise.

You should replace x and n with specific numbers.

Sample Input Copy 

2
5

Sample Output Copy 

2^? mod 2 = 1
2^4 mod 5 = 1

Source/Category

 
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