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: [42.109, 109.86, -83.327, 26.912, 144.091, -4.351, 52.963, 168.042, 77.981]

Solution: [ 0.079  0.206 -0.156  0.05   0.27  -0.008  0.099  0.315  0.146]