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: [106.3, -50.849, 9.02, -35.539, -72.426]

Output: [-2.444  1.169 -0.207  0.817  1.665]


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: [85.776, 189.483, -14.37, -48.169, -71.708, 195.285, -72.589, 75.054]


Output: [ 0.253  0.559 -0.042 -0.142 -0.212  0.576 -0.214  0.222]