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: [-67.627, -13.111, 106.499, 89.157, 151.762, 143.589, 53.041, 127.178, 224.363, 132.883]
A:
[-0.071 -0.014  0.112  0.094  0.16   0.152  0.056  0.134  0.237  0.14 ]