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.

Ex Input:
[11.893, 122.938, -45.515, -59.484, 12.016, 148.604, -47.662, -94.215, 161.234, 195.023]

Ex Output:
[ 0.029  0.304 -0.112 -0.147  0.03   0.367 -0.118 -0.233  0.398  0.482]


Ex Input:
[-51.018, 130.578, -54.191, 144.189, -35.312, -28.86, 128.549, 58.665]

Ex Output:
[-0.174  0.446 -0.185  0.493 -0.121 -0.099  0.439  0.2  ]


Ex Input:
[198.148, 244.391, 87.792, 3.718, 18.676, 183.571, -66.05, 224.442, 192.166, 54.467]

Ex Output:

[ 0.174  0.214  0.077  0.003  0.016  0.161 -0.058  0.197  0.168  0.048]