Given an array of integers, calculate the ratios of its elements that are positive, negative, and zero. Print the decimal value of each fraction on a new line with $6$ places after the decimal.

Note: This challenge introduces precision problems. The test cases are scaled to six decimal places, though answers with absolute error of up to $10^{-4}$ are acceptable.

Example

$arr=[1,1,0,-1,-1]$

There are $n=5$ elements, two positive, two negative and one zero. Their ratios are $\frac25=0.40000$, $\frac25=0.40000$ and $\frac15=0.200000$. Results are printed as:

0.400000
0.400000
0.200000

Function Description

Complete the plusMinus function in the editor below.

plusMinus has the following parameter(s):

int arr[n]: an array of integers

Print

Print the ratios of positive, negative and  zero values in the array.  Each value should be printed on a separate line with $6$ digits after the decimal.  The function should not return a value.

Input Format

The first line contains an integer, $n$, the size of the array.

The second line contains $n$ space-separated integers that describe $arr[n]$.

Constraints

$0 < n \leq100$

$-100\leq arr[i]\leq100$

Output Format

Print the following $3$ lines, each to $6$ decimals:

proportion of positive values
proportion of negative values
proportion of zeros

Sample Input
STDIN Function
----- --------
6 arr[] size n = 6
-4 3 -9 0 4 1 arr = [-4, 3, -9, 0, 4, 1]

Sample Output
0.500000
0.333333
0.166667

Explanation

There are $3$ positive numbers, $2$ negative numbers, and $1$ zero in the array.

The proportions of occurrence are positive: $\frac{3}{6}=0.500000$, negative: $\frac{2}{6}=0.333333$ and zeros: $\frac{1}{6}=0.166667$.

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