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: [115.84, -84.097]

Output: [ 3.649 -2.649]


Input: Consider Input: [98.398, -55.063]

Output: [ 2.271 -1.271]


Input: Consider Input: [114.408, 21.773, 209.637, 22.174, 125.312, 40.706, 152.105, 63.439]


Output: [0.153 0.029 0.28  0.03  0.167 0.054 0.203 0.085]