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: [167.844, 169.192, -81.096]

Output: [ 0.656  0.661 -0.317]


Input: Consider Input: [31.336, -29.902]

Output: [ 21.852 -20.852]


Input: Consider Input: [237.824, 233.285, 223.369, 143.876, 118.428, 45.485, 220.048, 177.821, 160.009, 109.675]


Output: [0.142 0.14  0.134 0.086 0.071 0.027 0.132 0.106 0.096 0.066]