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.
One example: [1, 2, 3]
Solution is here: [0.167, 0.333, 0.500]
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.

Now, solve this: [20.658, -98.264, 29.992, 165.848, 167.882, 156.738, 242.835, 129.057, 116.1, 39.461]
Solution:
[ 0.021 -0.101  0.031  0.171  0.173  0.162  0.25   0.133  0.12   0.041]