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: [-84.51, 219.949, -25.325, -22.7, -91.866, -83.761, 163.008, 121.602, 97.101]
Solution:
[-0.288  0.749 -0.086 -0.077 -0.313 -0.285  0.555  0.414  0.331]