cho.sh
Notes
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Harmonic Average

Time limit

2s

Memory limit

128 MB

Problem

For N natural numbers A[1], ..., A[N], this problem defines the harmonic average as the following value.

1 / (1/A\[1] + 1/A\[2] + ... + 1/A\[N])

In other words, take the reciprocal of each number, add those reciprocals, and then take the reciprocal of that sum. For 1, 2, and 4, the value is 4/7.

Given N natural numbers A[1], ..., A[N], write a program that prints the harmonic average according to this definition.

Input

The first line contains a natural number N (1 <= N <= 9).

The second line contains A[1], ..., A[N] in order. Each A[i] is a natural number not greater than 100.

Output

Print the answer as a fraction on the first line.

If the same value can be represented in multiple ways, print the representation that uses the fewest total characters among digits and /. If there is more than one such representation, print the lexicographically smallest one.

Hint

The usual harmonic mean is N / (1/A\[1] + 1/A\[2] + ... + 1/A\[N]), but in this problem, the value defined in the statement is called the harmonic average.