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: [213.615, 160.453, 140.155, 180.089, -6.641, 108.867, 69.604, 207.737, 122.808, 30.542]
A:
[ 0.174  0.131  0.114  0.147 -0.005  0.089  0.057  0.169  0.1    0.025]