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: [-36.797, 93.739, 170.894, 193.582, 128.83, 85.681, 104.071, -40.571, -84.657]

Output: [-0.06   0.152  0.278  0.315  0.21   0.139  0.169 -0.066 -0.138]


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: [15.007, -28.876, -65.92, 178.57, 26.405, 186.225, -30.861, -23.247, 83.382]


Output: [ 0.044 -0.085 -0.193  0.524  0.078  0.547 -0.091 -0.068  0.245]