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 input: [1, 2, 3]
Example output: [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.
Q: [103.087, 58.741, -19.804, 127.697, 112.465, 71.946, 62.819, -14.241, -29.798, -7.881]
A:
[ 0.222  0.126 -0.043  0.275  0.242  0.155  0.135 -0.031 -0.064 -0.017]