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: [108.846, -19.959, -96.488, 89.424, 146.35, 68.236]

Output: [ 0.367 -0.067 -0.326  0.302  0.494  0.23 ]


Input: Consider Input: [159.522, 187.936, 110.31, 19.51, 201.142]

Output: [0.235 0.277 0.163 0.029 0.296]


Input: Consider Input: [173.143, 12.199, -18.497, -57.514, 42.133, 36.275, 187.483, -86.979]


Output: [ 0.601  0.042 -0.064 -0.2    0.146  0.126  0.65  -0.302]