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.
One example is below.
Q: [1, 2, 3]
A: [0.167, 0.333, 0.500]
Rationale: The output list sums to 1.0 and has the same weight as the input 0.333 is twice as large as 0.167, .5 is 3 times as large as 0.167, and 0.5 is 1.5 times as large as 0.333. This is a good example.
Q: [175.256, 126.566, -85.145, 109.269, -74.106, -49.907, -54.961, -20.276, -59.726]
A:
[ 2.617  1.89  -1.271  1.632 -1.107 -0.745 -0.821 -0.303 -0.892]