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.
One example is below.
Q: [1, 2, 3]
A: [0.167, 0.333, 0.500]
Rationale: The output list sums to 1.0 and has the same weight as the input 0.333 is twice as large as 0.167, .5 is 3 times as large as 0.167, and 0.5 is 1.5 times as large as 0.333. This is a good example.
Q: [27.62, -49.245, -8.496, 7.486, -43.587, 210.741, -95.089, 228.66, -12.79, 171.616]
A:
[ 0.063 -0.113 -0.019  0.017 -0.1    0.482 -0.218  0.523 -0.029  0.393]