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: [173.679, 211.845]

Output: [0.451 0.549]


Input: Consider Input: [142.936, 123.779, 60.865, 200.432, -26.579, 17.68, 110.174, 40.216, 67.654, 227.097]

Output: [ 0.148  0.128  0.063  0.208 -0.028  0.018  0.114  0.042  0.07   0.236]


Input: Consider Input: [179.622, -97.313, 187.01, -59.364, 124.007]


Output: [ 0.538 -0.291  0.56  -0.178  0.371]