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.

Input: Consider Input: [86.628, 157.229]

Output: [0.355 0.645]


Input: Consider Input: [19.761, -68.809, 38.9]

Output: [-1.947  6.781 -3.833]


Input: Consider Input: [165.887, 53.387, 238.465, 119.238, -34.012, -86.164, -45.186, 196.005]


Output: [ 0.273  0.088  0.392  0.196 -0.056 -0.142 -0.074  0.323]