In this task, you will be given a list of numbers. The goal is to divide all the numbers in the list by a constant such that the sum of the resulting list is 1. The output should be rounded to 3 decimals.

[Q]: [-78.083, 47.943, -80.073]
[A]: [ 0.708 -0.435  0.727]


[Q]: [-7.195, -90.601, -64.015, 69.388, 151.988, -72.281, 164.459]
[A]: [-0.047 -0.597 -0.422  0.457  1.002 -0.476  1.084]


[Q]: [55.997, -38.349, 48.205, 122.827, 107.977, 33.89, -5.239, -35.613, 158.932]
[A]:
[ 0.125 -0.085  0.107  0.274  0.241  0.076 -0.012 -0.079  0.354]