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: [121.722, 110.981, 3.171]

Output: [0.516 0.471 0.013]


Input: Consider Input: [93.097, 66.79, 174.361, 219.568, -83.985, -25.75, 178.751, -97.555, 91.928, 101.053]

Output: [ 0.13   0.093  0.243  0.306 -0.117 -0.036  0.249 -0.136  0.128  0.141]


Input: Consider Input: [117.598, 171.316, 168.522]


Output: [0.257 0.375 0.368]