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: [10.938, 220.639, 214.911, -31.69, -21.077, 183.226, -41.396, -47.465]

Output: [ 0.022  0.452  0.44  -0.065 -0.043  0.375 -0.085 -0.097]


Input: Consider Input: [88.848, 87.515, 118.388, -67.696, 171.359, 10.566, -78.47, 49.382, -68.623]

Output: [ 0.285  0.281  0.38  -0.217  0.551  0.034 -0.252  0.159 -0.22 ]


Input: Consider Input: [87.044, -53.894, 107.479]


Output: [ 0.619 -0.383  0.764]