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: [227.235, -9.802, 224.755, -6.045, 204.082, -82.991]

Output: [ 0.408 -0.018  0.403 -0.011  0.366 -0.149]


Input: Consider Input: [242.437, -57.364, 78.471, -62.089, 29.583, 63.253, 215.798, -91.923, -89.937, 19.808]

Output: [ 0.697 -0.165  0.225 -0.178  0.085  0.182  0.62  -0.264 -0.258  0.057]


Input: Consider Input: [38.25, -80.962, -66.976, 37.174, 156.786, 11.224, 9.766, 211.175, -39.225]


Output: [ 0.138 -0.292 -0.242  0.134  0.566  0.04   0.035  0.762 -0.141]