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: [174.741, 13.293, 174.878, -36.814, 27.195, 182.668, 205.378, -93.512]

Output: [ 0.27   0.021  0.27  -0.057  0.042  0.282  0.317 -0.144]


Input: Consider Input: [33.164, -85.364, -1.016, 189.358, 121.052, -57.865, -91.84]

Output: [ 0.309 -0.794 -0.009  1.762  1.126 -0.538 -0.854]


Input: Consider Input: [114.493, -28.45, 46.956, 207.172, 144.141, 28.258, 97.817]


Output: [ 0.188 -0.047  0.077  0.339  0.236  0.046  0.16 ]


