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: [-83.798, 52.484, 158.839, 220.674, 20.928, -29.393, 63.937, 107.505, -78.464, 156.778]

Solution: [-0.142  0.089  0.269  0.374  0.036 -0.05   0.108  0.182 -0.133  0.266]