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.
Example: [1, 2, 3]
Example solution: [0.167, 0.333, 0.500]
Example explanation: 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.

Problem: [-53.505, -40.083, -86.788, 79.571, 46.977, 102.323, 81.676, 147.811, 104.936, -3.011]

Solution: [-0.141 -0.106 -0.228  0.209  0.124  0.269  0.215  0.389  0.276 -0.008]