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: [113.902, 34.506, -40.153, -89.472, 14.588, -37.564, 92.517, -81.109]

Output: [ 15.787   4.783  -5.565 -12.401   2.022  -5.206  12.823 -11.242]


Input: Consider Input: [45.576, 110.356, -26.839, -27.367, -80.644, 185.571, 119.375, -75.17, 221.163, 182.722]

Output: [ 0.07   0.169 -0.041 -0.042 -0.123  0.283  0.182 -0.115  0.338  0.279]


Input: Consider Input: [106.967, 26.597, -8.296, -21.459, -90.822, -9.493, 207.149, -15.872, -14.277, -89.384]


Output: [ 1.174  0.292 -0.091 -0.236 -0.997 -0.104  2.274 -0.174 -0.157 -0.981]