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: [83.499, 57.586, 101.269, 40.68, 75.533, 100.856, 37.518]

Output: [0.168 0.116 0.204 0.082 0.152 0.203 0.075]


Input: Consider Input: [28.82, -37.0, 128.108]

Output: [ 0.24  -0.309  1.068]


Input: Consider Input: [111.85, -71.134, 169.908, 34.579, -63.794, 37.48, 213.067]


Output: [ 0.259 -0.165  0.393  0.08  -0.148  0.087  0.493]