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: [83.101, 240.578, 40.802, -66.424, 58.502, 124.08, 32.728, 50.962, -57.994]
A:
[ 0.164  0.475  0.081 -0.131  0.116  0.245  0.065  0.101 -0.115]