Package for this problem was not updated by the problem writer or Codeforces administration after we’ve upgraded the judging servers. To adjust the time limit constraint, solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then value 800 ms will be displayed and used to determine the verdict.

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VK Cup 2012 Wild-card Round 1:

- Factor

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C. Prime factorization

time limit per test

3 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputYou are given a positive integer *n*. Output its prime factorization.

If *n* = *a*_{1}^{b1} *a*_{2}^{b2} ... *a*_{k}^{bk} (*b*_{i} > 0), where *a*_{k} are prime numbers, the output of your program should look as follows: *a*_{1}*...**a*_{1}**a*_{2}*...**a*_{2}*...**a*_{k}*...**a*_{k}, where the factors are ordered in non-decreasing order, and each factor *a*_{i} is printed *b*_{i} times.

Input

The only line of input contains an integer *n* (2 ≤ *n* ≤ 10000).

Output

Output the prime factorization of *n*, as described above.

Examples

Input

245

Output

5*7*7

Input

19

Output

19

Codeforces (c) Copyright 2010-2021 Mike Mirzayanov

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