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: [113.564, -24.778, 28.792, 144.993, -63.973, 125.941, -56.14, -85.393]

Output: [ 0.621 -0.135  0.157  0.792 -0.35   0.688 -0.307 -0.467]


Input: Consider Input: [31.541, -32.498, 202.96]

Output: [ 0.156 -0.161  1.005]


Input: Consider Input: [120.496, -41.803, 144.782, -77.327, 115.815, 155.681, 55.907]


Output: [ 0.254 -0.088  0.306 -0.163  0.245  0.329  0.118]