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: [212.905, -37.951, -29.469, 81.879, -82.962]

Output: [ 1.474 -0.263 -0.204  0.567 -0.575]


Input: Consider Input: [77.096, 186.379, -96.012]

Output: [ 0.46   1.113 -0.573]


Input: Consider Input: [-88.051, 68.039, 147.615, 200.719, 102.806, -83.237, 11.193, 184.6, 41.821, 203.978]


Output: [-0.112  0.086  0.187  0.254  0.13  -0.105  0.014  0.234  0.053  0.258]