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2^x mod n = 1

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 25393    Accepted Submission(s): 8018


Problem Description
Give a number n, find the minimum x(x>0) 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
2 5
 

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

Author
MA, Xiao
 

Source
 

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