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: [65.205, 155.231, 47.41, -25.39, 52.865, 115.369, 200.093, 143.205, 153.35, 71.07]

Output: [ 0.067  0.159  0.048 -0.026  0.054  0.118  0.205  0.146  0.157  0.073]


Input: Consider Input: [80.514, 158.578, 178.002, 67.127, 63.817, -7.061, 208.709, 111.012, 145.797, -21.547]

Output: [ 0.082  0.161  0.181  0.068  0.065 -0.007  0.212  0.113  0.148 -0.022]


Input: Consider Input: [208.486, 177.568, 244.384, 217.595, 28.686, 216.641, 86.543, -71.308, 142.539, 206.143]


Output: [ 0.143  0.122  0.168  0.149  0.02   0.149  0.059 -0.049  0.098  0.141]