Twin primes are pairs of primes of the form (p, p+2). The term "twin prime" was coined by Paul Stäckel (1892-1919). The first few twin primes are (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43). In this problem you are asked to find out the S-th twin prime pair where S is an integer that will be given in the input.

 

Input

The input will contain less than 10001 lines of input. Each line contains an integers S (1<=S<=100000), which is the serial number of a twin prime pair. Input file is terminated by end of file. 

 

Output

For each line of input you will have to produce one line of output which contains the S-th twin prime pair. The pair is printed in the form (p1,<space>p2). Here <space> means the space character (ASCII 32). You can safely assume that the primes in the 100000-th twin prime pair are less than 20000000.

 

Sample Input
1

2

3

4

 

Sample Output
(3, 5)

(5, 7)

(11, 13)

(17, 19)


(Problem-setter: Shahriar Manzoor, CSE Dept, Southeast University)



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