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: [158.109, 83.907, -43.33, 223.125, 220.166, 16.701, -12.633, 192.648, 0.232]

Output: [ 0.188  0.1   -0.052  0.266  0.262  0.02  -0.015  0.23   0.   ]


Input: Consider Input: [43.521, -54.597, 37.194, 243.871, 208.898, 29.108, -88.08, 92.466, 56.962, 227.408]

Output: [ 0.055 -0.069  0.047  0.306  0.262  0.037 -0.111  0.116  0.071  0.285]


Input: Consider Input: [0.667, -28.701, -3.587, 237.941, 53.77, 91.893, 167.99, -11.822, -35.784, -67.813]


Output: [ 0.002 -0.071 -0.009  0.588  0.133  0.227  0.415 -0.029 -0.088 -0.168]