In mathematics, the absolute value of a number is the non-negative value of that number, without regarding its sign. For example, the absolute value of -2 is 2, and the absolute value of 5 is 5. In this task you will be given a list of numbers and you need to return the element with highest absolute value. If a negative and positive element have the same absolute value you should return the positive element. The absolute value for negative numbers can be found by multiplying them by -1. After finding the element with the maximum absolute value you should return the value of that element before you applied the absolute value.

Input: Consider Input: [-89.609  31.981 -95.802]

Output: -95.802


Input: Consider Input: [ 47.013  -1.478 -45.501 -94.997 -61.359 -27.539  15.597  30.607 -40.423]

Output: -94.997


Input: Consider Input: [ -8.4    38.784 -37.684 -58.723  51.655  49.068]


Output: -58.723