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: [122.209, -22.703, -71.113, 52.059]

Output: [ 1.519 -0.282 -0.884  0.647]


Input: Consider Input: [118.39, -12.291, 40.382, -47.484, -55.095]

Output: [ 2.697 -0.28   0.92  -1.082 -1.255]


Input: Consider Input: [104.785, 188.375, -0.024, -87.58, 82.723]


Output: [ 3.635e-01  6.534e-01 -8.325e-05 -3.038e-01  2.870e-01]