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: [202.757, 53.034, 222.02, 69.928, 77.712, 128.444, 121.109, 23.417, -23.934, -41.88]
A:
[ 0.244  0.064  0.267  0.084  0.093  0.154  0.145  0.028 -0.029 -0.05 ]