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: [-22.555, -77.928, 146.761, 172.667, -0.037]

Output: [-1.030e-01 -3.560e-01  6.704e-01  7.888e-01 -1.690e-04]


Input: Consider Input: [-82.152, 90.171, 81.645, 125.812, 58.913, 82.414, 164.646]

Output: [-0.158  0.173  0.157  0.241  0.113  0.158  0.316]


Input: Consider Input: [-82.672, 51.686, -46.969, -33.413, -35.817, 102.333, 222.877, 63.058, 145.042, 189.32]


Output: [-0.144  0.09  -0.082 -0.058 -0.062  0.178  0.387  0.11   0.252  0.329]