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: [-28.121, 170.168, 119.594, -52.937, -28.834, 42.183, -43.168, -93.008]

Output: [-0.327  1.982  1.393 -0.616 -0.336  0.491 -0.503 -1.083]


Input: Consider Input: [125.35, -10.076]

Output: [ 1.087 -0.087]


Input: Consider Input: [105.361, 32.098, 169.913, -94.24, 135.201, 179.67, 49.262, -86.488, -94.019, 0.503]


Output: [ 0.265  0.081  0.428 -0.237  0.34   0.452  0.124 -0.218 -0.237  0.001]