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: [133.781, 157.723, 158.61, -61.075, 12.936]

Output: [ 0.333  0.392  0.395 -0.152  0.032]


Input: Consider Input: [-43.08, 109.525, -61.654, 5.718, 152.702, -86.576, 13.451, -70.716]

Output: [-2.224  5.654 -3.183  0.295  7.883 -4.47   0.694 -3.651]


Input: Consider Input: [-82.835, 194.04, 183.653, -50.498, 107.1, 32.004, 246.701, 65.581, -7.613, 198.718]


Output: [-0.093  0.219  0.207 -0.057  0.121  0.036  0.278  0.074 -0.009  0.224]