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: [-69.004, 114.985, 125.824]

Output: [-0.402  0.669  0.732]


Input: Consider Input: [111.17, 188.676]

Output: [0.371 0.629]


Input: Consider Input: [-25.365, 110.202, 187.486, 116.95, 2.194, -91.229, 220.464, 103.22]


Output: [-0.041  0.177  0.3    0.187  0.004 -0.146  0.353  0.165]