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: [179.687, -67.899, 195.296, 177.421, 69.217, 81.566, -84.367, 102.156, 30.761, 105.169]
A:
[ 0.228 -0.086  0.248  0.225  0.088  0.103 -0.107  0.129  0.039  0.133]