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: [112.742, 102.138]

Output: [0.525 0.475]


Input: Consider Input: [-23.852, -34.21, 62.181, 221.052, 139.057, 82.483, 175.008, 82.388]

Output: [-0.034 -0.049  0.088  0.314  0.197  0.117  0.249  0.117]


Input: Consider Input: [14.056, 180.642]


Output: [0.072 0.928]