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.

Input: Consider Input: [-22.555, -77.928, 146.761, 172.667, -0.037]

Output: [-1.030e-01 -3.560e-01  6.704e-01  7.888e-01 -1.690e-04]


Input: Consider Input: [47.884, -11.914, 94.964, 96.552, -77.393, -99.776, 111.271, 54.028, -14.725, -44.039]

Output: [ 0.305 -0.076  0.605  0.616 -0.493 -0.636  0.709  0.344 -0.094 -0.281]


Input: Consider Input: [4.847, -9.251, 51.672, 100.602, -96.581, 23.655, 168.199, 234.174, 122.046]


Output: [ 0.008 -0.015  0.086  0.168 -0.161  0.039  0.281  0.391  0.204]