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: [93.435, 170.556, 172.45, 93.658, -34.635, -58.636, 212.233, 34.646, -81.173, 0.785]

Solution: [ 0.155  0.283  0.286  0.155 -0.057 -0.097  0.352  0.057 -0.135  0.001]