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E. Prime Segment

time limit per test

2 secondsmemory limit per test

64 megabytesinput

standard inputoutput

standard outputPositive integer number *x* is called prime, if it has exactly two positive integer divisors. For example, 2, 3, 17, 97 are primes, but 1, 10, 120 are not.

You are given an integer number *n*, find the shortest segment [*a*, *b*], which contains *n* (i.e. *a* ≤ *n* ≤ *b*) and *a*, *b* are primes.

Input

The only given line contains an integer number *n* (2 ≤ *n* ≤ 10000).

Output

Print the space separated pair of the required numbers *a*, *b*.

Examples

Input

10

Output

7 11

Input

97

Output

97 97

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