You will be given a definition of a task first, then an example. Follow the example to solve a new instance of the task.
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.

[1, 2, 3]
Solution: [0.167, 0.333, 0.500]
Why? 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.

New input: [-83.726, 217.271, -81.571, -2.008, 128.792, 201.863, -15.764, -81.814, 88.542, -64.444]
Solution:
[-0.273  0.707 -0.266 -0.007  0.419  0.657 -0.051 -0.266  0.288 -0.21 ]