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: [  6.276 -51.665  84.605   3.924]

Output: 84.605


Input: Consider Input: [-59.805 -29.469  87.331  56.518 -31.485 -12.344]

Output: 87.331


Input: Consider Input: [ -4.309  55.022  93.802 -62.79   97.391 -89.412 -46.156  24.145]


Output: 97.391