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: [176.219, 63.491, -54.545, 78.808, -64.59, -30.172, 176.554, 124.599, -61.991]
A:
[ 0.432  0.155 -0.134  0.193 -0.158 -0.074  0.432  0.305 -0.152]