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: [143.826, -53.053, -15.912, 41.377, -85.872, 154.355, -3.074, 159.574, 64.077, -86.286]

Output: [ 0.451 -0.166 -0.05   0.13  -0.269  0.484 -0.01   0.5    0.201 -0.27 ]


Input: Consider Input: [-69.316, 176.216, -54.976]

Output: [-1.335  3.394 -1.059]


Input: Consider Input: [159.57, 201.135, 163.667]


Output: [0.304 0.384 0.312]