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: [137.014, 241.383, -12.808, 12.296, 172.728, 56.097, 82.789, -54.303, 124.973, 29.673]
A:
[ 0.173  0.306 -0.016  0.016  0.219  0.071  0.105 -0.069  0.158  0.038]