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:
[115.84, -84.097]

Ex Output:
[ 3.649 -2.649]


Ex Input:
[45.532, 131.328, 173.809, -99.361, 45.882, 226.094, 12.686]

Ex Output:
[ 0.085  0.245  0.324 -0.185  0.086  0.422  0.024]


Ex Input:
[114.596, 6.346, 6.364, 15.808, 187.275]

Ex Output:

[0.347 0.019 0.019 0.048 0.567]