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: [123.588, -61.707, 234.88, 84.749, 145.649, 200.578, 163.687, 176.242, 245.697, 18.685]

Solution: [ 0.093 -0.046  0.176  0.064  0.109  0.151  0.123  0.132  0.184  0.014]