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: [174.741, 13.293, 174.878, -36.814, 27.195, 182.668, 205.378, -93.512]
A:
[ 0.27   0.021  0.27  -0.057  0.042  0.282  0.317 -0.144]