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: [112.224, 166.663, 38.843, 87.432]

Output: [0.277 0.411 0.096 0.216]


Input: Consider Input: [29.334, 195.025, -78.012, 170.41, -66.323]

Output: [ 0.117  0.779 -0.312  0.68  -0.265]


Input: Consider Input: [127.297, 247.175, 183.805, 159.214, 54.613, 57.508, 34.305, 193.549, -30.734]


Output: [ 0.124  0.241  0.179  0.155  0.053  0.056  0.033  0.189 -0.03 ]