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: [156.505, 137.881, -73.82, 26.338, -26.232, -28.183, 78.806]

Output: [ 0.577  0.508 -0.272  0.097 -0.097 -0.104  0.29 ]


Input: Consider Input: [204.719, -84.204, -1.215, 164.923, 43.828, 143.634, -47.883]

Output: [ 0.483 -0.199 -0.003  0.389  0.103  0.339 -0.113]


Input: Consider Input: [121.1, 86.773, 233.546, -85.733, 228.687, -76.081, 173.353, -57.839, -32.528, 61.624]


Output: [ 0.185  0.133  0.358 -0.131  0.35  -0.117  0.266 -0.089 -0.05   0.094]