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: [71.141, 60.036, 18.424, 31.373, 173.977]

Output: [0.2   0.169 0.052 0.088 0.49 ]


Input: Consider Input: [177.728, -20.968, 68.938, 216.881, 19.13, 114.147, 199.158, 14.797, -4.489, 170.845]

Output: [ 0.186 -0.022  0.072  0.227  0.02   0.119  0.208  0.015 -0.005  0.179]


Input: Consider Input: [-32.796, 142.822, 107.353, 224.864, -73.563, 137.258, 220.237, -16.72]


Output: [-0.046  0.201  0.151  0.317 -0.104  0.193  0.31  -0.024]