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: [65.205, 155.231, 47.41, -25.39, 52.865, 115.369, 200.093, 143.205, 153.35, 71.07]

Output: [ 0.067  0.159  0.048 -0.026  0.054  0.118  0.205  0.146  0.157  0.073]


Input: Consider Input: [16.878, 165.392, 31.447, -82.8, -37.96]

Output: [ 0.182  1.779  0.338 -0.891 -0.408]


Input: Consider Input: [201.774, -7.223, 78.107, 1.72, 13.442, 79.322]


Output: [ 0.55  -0.02   0.213  0.005  0.037  0.216]