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: [211.56, -18.154, -43.303, 12.345, 89.312, -84.181, -8.909, 42.35, 193.371]
A:
[ 0.536 -0.046 -0.11   0.031  0.226 -0.213 -0.023  0.107  0.49 ]